One number is 5 more than 4 times another their sum is 20

Answers

Answer 1

Answer:

3, 17

Step-by-step explanation:

1st number = x

2nd number = 4x+5

x+4x+5=20

5x=15

x=3

1st number = 3

2nd number = 4(3)+5=12+5=17


Related Questions

Which number is an irrational number?

Answers

Answer:

[tex]\boxed{\sqrt[3]{16} }[/tex]

Step-by-step explanation:

=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written as the form [tex]\frac{p}{q}[/tex] which is the basic requirement of being a rational number.

=> [tex]\sqrt{100}[/tex] = 10 (A rational number because it's a whole number)

=> 1/8 (Rational as it is in the form p/q)

=> -2.2675 (Rational because it is an integer)

Answer:

[tex]\boxed{\sqrt[3]{16} }[/tex]

Step-by-step explanation:

An irrational number cannot be expressed in the form p/q, where p and q are whole integers.

[tex]\sqrt{100} =10[/tex]

[tex]\frac{1}{8} =0.125[/tex]

[tex]-2.2675= - \frac{907}{400}[/tex]

[tex]\sqrt[3]{16} \approx 2.51984209979... \neq \frac{p}{q}[/tex]

[tex]\sqrt[3]{16}[/tex] is an irrational number.

10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12

2. 5X - 15 = 3X + 4

Answers

Answer:

1. x = 3.

2. x = 9.5.

Step-by-step explanation:

1. 2x + 6 = 12

2x = 6

x = 3.

2. 5x - 15 = 3x + 4

5x - 3x = 4 + 15

2x = 19

x = 9.5.

Hope this helps!

Step-by-step explanation:

1).

2x + 6 = 12

Send the constant to the right side of the equation

That's

2x = 12 - 6

2x = 6

Divide both sides by 2

x = 3

2).

5x - 15 = 3x + 4

Group like terms

We have

5x - 3x = 15 + 4

Simplify

2x = 19

Divide both sides by 2

x = 19/2

Hope this helps you

Rachel made $110 for 5 hours of work. At the same rate, how many hours would she have to work to make $264 ?

Answers

110 divided by 5 is 22
Rachel gets payed $22 per hour
So the answer is 12 she would need to work 12 hours.

Answer: she needs to work 8 hours

Step-by-step explanation:

Hi, guys whoever can help me with this question and give me the right answer, I will award brainliest. Please give answer fast. Find the value of X

Answers

Answer:

X= 65

Step-by-step explanation:

180°-50°=130 (Angles on a straight line)

2x=130 ( Corrresponding Angle)

X= 130÷ 2

= 65

Hope this helps.

Answer:

x = 65

Step-by-step explanation:

In the bottom corner to find 2x you have to make an equation. So 180 - 50 = 130. 130 has the equal angle as 2x.

180 - 50 = 130

2x = 130

Simplify by dividing

2x = 130

/2       /2

x = 65

Graph the following equations and give the slope. Label and (if not using graph paper) mark axis.
14.x=4
15. y = 2
16, 2x - y = 5
17. y - 1 = =(x + 3)

Answers

Answer:

Step-by-step explanation:

14. x=4

vertical line(no slope) with one coordinate being (4,0)

15. y=2

horizontal line(no slope) with one coordinate being (0,2)

16. 2x-y=5

slope= 2; two coordinates are (0,-5) and (2,-1)

17. y-1=(x+3)

slope= 1; two coordinates are (-4,0) and (0,4)

HOPE THIS HELPS!!! :)

What is the value of the expression

Answers

Answer:

6

Step-by-step explanation:

2(7)-(-4)/3

(14+4)/3

18/3

=6

If it's right can i get brainliest.

Answer:

D) 6

Step-by-step explanation:

Plug in the values of a & b

[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]

If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expression w2 - v + 1? A) -2 2 - (-8) + 1 B) -2 2 - 8 + 1 C) (-2) 2 - (8) + 1 D) (-2) 2 - (-8) + 1

Answers

Answer:

The answer is D.

Answer: D) (-2)*2 - (-8) +1

Step-by-step explanation:

w = -2.

so the w2 is equal to -2*2

v = -8

so -v + 1 = -(-8) + 1

Put it together and you get (-2)*2-(-8)+1

the parentheses are needed for the first -2 because other wise it'd be -(2*2) instead of (-2)*2

Figure
(С Е
Which combinations of transformations will always produce congruent figures? Check all that apply.
a dilation, followed by a rotation
a reflection, followed by a dilation
a rotation, followed by a translation
a translation, then a rotation, followed by a stretch
O a translation, followed by two reflections
O O O O O

Answers

Answer:

a rotation, followed by a translationa translation, followed by two reflections

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

Reflections : Flips a figure across a line of reflection. Rotations : Rotates a figure about some degrees around a center point. Translations : Moves figure on a plane about some distance in a certain direction.

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

a rotation, followed by a translationa translation, followed by two reflections

You are going to make “words” using the letters in the word WHISKAS. a) How many seven-letter words can you make? b) How many seven-letter words can you make if the two S’s must be together? c) How many seven-letter words can you make if the words must begin with A and end with H?

Answers

Hey there! I'm happy to help!

PART A

When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.

We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.

The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.

But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.

5040/2=2520

There are 2520 ways you can arrange the word WHISKAS.

PART B

Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one  specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.

PART C

Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.

Have a wonderful day!

Find what x equals: |3x–1|=4

Answers

Answer:

x = 5/3                    x = -1

Step-by-step explanation:

|3x–1|=4

The solution to an absolute value equation has a positive and a negative solution

3x-1 =4    3x-1 = -4

Add 1 to each side

3x-1+1 = 4+1      3x-1+1 = -4+1

3x =5                 3x = -3

Divide by 3

3x/3 = 5/3           3x/3 = -3/3

x = 5/3                    x = -1

Answer:

x=1 2/3,x=-1

Step-by-step explanation:

There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3

The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1

SOMEONE PLS HELP I WILL GIVE BRAINLIEST

factor x^(n+2)+x^(2)
pls explain too :>

Answers

Answer:

x² (x^n + 1)

Step-by-step explanation:

factor x^(n+2) + x²

= x^(n+2) + x²

= x^n • x² + x² (using law of indices)

= x²(x^n + 1)

*PLEASE ANSWER, NEED HELP* Find the surface area of the rectangular prism below.

Answers

Answer:

461.02

Step-by-step explanation:

2 × ( (12.3 × 4.3) + (12.3 × 10.7) + (4.3 × 10.7)) = 461.02 m^2

Answer:

461.02 M^2

Step-by-step explanation:

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

SA = 2lw+2lh+2hw

2LW = 105.78 M^2        (  52.89* 2 )

L= 12.3 M^2 , W = 4.3 M^2

LW = 52.89 M^2

2LH =  263.22       ( 131.61 * 2 )

L = 12.3 M^2 , H = 10.7 M^2

LH = 131.61 M^2

2HW = 92.02       ( 46.01 * 2 )

H = 10.7 M^2 , W = 4.3 M^2

HW = 46.01 M^2

SA = 2lw+2lh+2hw

SA = 105.78 M^2+ 263.22 M^2  + 92.02 M^2

SA = 461.02 M^2

What is the difference between a Rate and a Ratio? Explain

Answers

Answer:

The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls.

please help with this too​

Answers

Answer:

Step-by-step explanation:

Garden roller is in the shape of cylinder.

So, one revolution =  Curved surface area of the cylinder

diameter  = 70 cm

radius = 70/2 = 35 cm

h = 100 cm

Curved surface area of the cylinder = 2πrh

                                                           = [tex]2*\frac{22}{7}*35*100[/tex]

                                                           = 22000 square cm

Area covered in 15 revolutions = 15 * 22000

                                                    = 330000 square cm

2) Coin

diameter = 22 mm

r = 22/2 = 11 mm

Volume of coin = 66 mm

πr²h = 66

[tex]\frac{22}{7}*11*11*h=66\\\\\\h=\frac{66*7}{11*11*22}\\h=0.17 mm[/tex]

Please help me fast!

Answers

Answer:

39.5

Step-by-step explanation:

Let's figure out the equations of l and m first.

For line l, we see that the coordinates (0, 5) and (3, 0) are on the line. The equation of a line is y = mx + b where m is the slope and b is the y-intercept.

We can find the slope, which is the difference in the y-coordinates divided by the difference in the x-coordinates:

m = slope = (5 - 0) / (0 - 3) = 5/-3 = -5/3

The y-intercept of a line is the place where the line crosses the y-axis. For line l, it is at (0, 5), so b = 5. Our equation is thus: y = (-5/3)x + 5.

For line m, we see that the coordinates (0, 2) and (7, 0) are on the line. The slope is:

m = slope = (2 - 0) / (0 - 7) = 2/-7 = -2/7

The y-intercept is at (0, 2), so b = 2. Our equation is hence: y = (-2/7)x + 2.

Taking the two equations, let's set 15 equal to y and solve for x:

y = (-5/3)x + 5  ⇒  15 = (-5/3)x + 5  ⇒  10 = (-5/3)x  ⇒  x = -6

y = (-2/7)x + 2  ⇒  15 = (-2/7)x + 2  ⇒  13 = (-2/7)x  ⇒  x = -91/2

Let's find the difference:

-6 - (-91/2) = 39.5

The answer is thus 39.5.

~ an aesthetics lover

39.5 is the final answer

Scanning the road can be thought of as a
A. way to improve your mileage
B. way to reduce your mileage
C. comprehensive drive test
D. systematic search process

Answers

Answer:

D

Step-by-step explanation:

Well scanning the road for mileage wouldn't be the correct formula for "scanning" but looking for a gas station sounds more right.

Answer: d

Step-by-step explanation: i did it and got it right

In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer: 16384

Step-by-step explanation:

Given: Total marbles = 7  (All are distinct)

Total jars = 4

Assume that, the jar is empty.

When we put marbles in the jar, we need to choose jar each time.

For each marble, total choices = Total jars = 4

Then, by using the fundamental counting principle,

The number of ways to put seven marbles in different colors into four jars =

[tex]4^7[/tex]

= 16384

Hence, the required number of ways =16384

Answer:

your answer is 16384

Step-by-step explanation:

have a nice day.

Andrew is about to leave for school. if he walks at the speed of 50 meters per minute he will arrive 3 minutes after the bell rings. if he runs at the speed of 80 meters per minute he will arrive 3 minutes before the bell rings. in how many minutes will the bell ring?

Answers

Answer:  13 minutes

================================================

Explanation:

x = time it takes for the bell to ring, time is in minutes

d = distance from his house to the school, in meters

distance = rate*time

If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late. This means he took x+3 minutes to get to class. The x represents the amount of time it takes if he arrived on time, then the +3 is those 3 minutes he is late. We then write

d = 50(x+3)

d = 50x+150

If he runs to school, then he's 3 minutes early. So he took (x-3) minutes to get to class. His rate is 80 meters per minute

d = 80(x-3)

d = 80x-240

We're referring to the same distance (d) value, which allows us to perform substitution to solve the two equations we formed

80x-240 = 50x+150

80x-50x = 150+240

30x = 390

x = 390/30

x = 13

Andrew has 13 minutes to get to class.

-------------------

Checking the answer:

If he walks at a speed of 50 m per minute, then he'll be 3 minutes late. So he really took 13+3 = 16 minutes to arrive. His distance traveled is d = r*t = 50*16 = 800 meters.

If he ran 80 m per minute, and is 3 minutes early, then he took 13-3 = 10 minutes to get to class. His distance is the same as before d = r*t = 80*10 = 800 meters. The fact we get 800 both times helps confirm we have the right answer.

Andrew has 13 minutes to get to class.

What is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.

Now, let x be the time it takes for the bell to ring.

let d be the distance from his house to the school, in meters

distance = speed*time

If Andrew walks at a speed of 50 meters per minute, then he'll be 3 minutes late.

So, Andrew took x+3 minutes to get to class.

Here in the expression +3 shows that she is late.

So,

d = 50(x+3)

d = 50x+150

Now, If he runs to school, then he reached 3 minutes early.

So, toe get in class he will take (x-3) minutes

Here -3 show the child reached early

d = 80(x-3)

d = 80x-240

Since the distance is same.

So, the two equations are equal.

80x-240 = 50x+150

80x-50x = 150+240

30x = 390

x = 390/30

x = 13

Hence, Andrew has 13 minutes to get to class.

Learn more about algebra here:

https://brainly.com/question/953809

#SPJ2

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?

Answers

Answer: 37

====================================================

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

Answer:

37

Step-by-step explanation:

The table of values shows the number of minutes since Raul got online at an Internet cafe and the total amount he paid up until that point. If x is the number of minutes since Raul got online and y is the total amount he paid in dollars, which equation models this situation? Number of Minutes Since Raul Total Amount Paid Got Online 0 min 4.00 2min 4.12 4min 4.24 6min 4.36 8min 4.48 answer choice A x = 0.06y + 4 B x = 0.12y + 4 C y = 0.06x + 4 D y = 0.12x + 4

Answers

Answer: C) ŷ = 0.06X + 4

Step-by-step explanation:

Given the following :

Number of minutes since Rahul got online :

0 - - - - - 2 - - - - - 4 - - - - - 6 - - - - - 8

Total amount paid :

4.0 - - - 4.12 - - - 4.24 - - - 4.36 - - - 4.48

Using the online regression calculator to create a linear model with number of minutes since Rahul got online on the x-axis and the total amount paid on the y-axis :

The linear model obtained is : ŷ = 0.06X + 4

With y being the predicted variable

X = values of the independent variable

0.06 = gradient or slope of the line

4 = intercept

1. f(x) = x² - 4 ; if x is even = 3x – 2; if x is odd solve for f(4) and f(5)

Answers

Answers:f(4) = 12f(5) = 13

=======================================================

Explanation:

This is a piecewise function as it is composed of two pieces.

The equation for f(x) depends on what x is. Specifically whether it is even or odd.

If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2

------------

f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4

f(x) = x^2 - 4

f(4) = 4^2 - 4

f(4) = 16 - 4

f(4) = 12

------------

When x = 5, x is now odd, so use f(x) = 3x-2

f(x) = 3x-2

f(5) = 3(5) - 2

f(5) = 15 - 2

f(5) = 13

Solve the system using elimination 7x+2y=10 -7x+y=-16

Answers

Answer:

x=2, y=-2

Step-by-step explanation:

7x+2y=10

-7x+y=-16

-------------------

0x + 3y = -6

Divide each side

3y/3 = -6/3

y = -2

Now find x

7x +2y = 10

7x + 2( -2) = 10

7x -4 = 10

Add 4 to each side

7x -4+4 = 10+4

7x= 14

Divide by 7

7x/7 = 14/7

x = 2

7x + 2y = 10-7x + y = -16

Since one equation has a 7x and and the other equation has a -7x,

when we add the equations together, the x's will cancel out.

So we have 3y = -6 and y = -2.

To find x, plug -2 back in for y in either of the two original equations.

I've chosen to plug -2 into the first equation to get 7x + 2(-2) = 10.

Solving from here, x = 2.

So our final answer is the ordered pair (2, -2).

Now, check your answer.

Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28

Answers

Answer:

facil es la D

Step-by-step explanation:

10+6+12 igual a 28

y nada mas ahi que decir el numero de rosas amarillas que es este caso son

6

Respuesta 6:28

Answer:

D. 6:28

Step-by-step explanation:

The total number of flower in bouquet is

=6+10+12

=28

The ratio of number of yellow roses to the total number of roses is 6:28

An arithmetic sequence is represented in the following table. Enter the
missing term of the sequence.

Answers

Answer:

387

Step-by-step explanation:

we can  use the formula y=-81+(x-1)13, because 13 is the common difference

then plug 37 in for x

you get y=-81+36(13)

which simplifys down to 387

In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I

Answers

Answer:

C.Quadrant III

EXPLANATION:

IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE

solve for x -7x+1≥22 or -10x+41≥81

Answers

Answer:

The answer to the union of the two sets is: [tex]x\leq -3[/tex]

Step-by-step explanation:

Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.

First inequality:

[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]

so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)

Second inequality:

[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]

So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.

Then, when we do the union of these two sets, we get:

[tex]x\leq -3[/tex]

since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.

The number of members of an online community increases each month. The
function M(t) = N(1 + ) represents the number of members at month t, where
Nis the initial number of members and ris the rate of increase. Select the
correct statement.
O A. Nincreases each month.
B. The initial value is (1 + r).
C. The function is linear.
D. The value of Mis a product of Nand a factor that does not depend
on N.

Answers

The correct answer is D

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(8,6); perpendicular to 2x - y = 4
(a) Write the equation of the line in slope-intercept form.

Answers

Answer:

y =  -[tex]\frac{1}{2}[/tex]x + 10

Step-by-step explanation:

To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 2x - y = 4, we will follow the steps below:

first write the equation 2x - y = 4 in a standard form

we will find the slope of our equation using this equation

2x - y = 4

y = 2x -4

comparing the above with

y = mx  + c

m = 2

[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1  ( slope of perpendicular equations)

2[tex]m_{2}[/tex] = -1

[tex]m_{2}[/tex]  = -1/2

our slope m = -1/2

We can now go ahead and form our equation

[tex]x_{1}[/tex] =8   [tex]y_{1}[/tex] =6

y-[tex]y_{1}[/tex] = m (x-[tex]x_{1}[/tex])

y-6 = -[tex]\frac{1}{2}[/tex](x-8)

y-6 =  -[tex]\frac{1}{2}[/tex]x + 4

y=  -[tex]\frac{1}{2}[/tex]x+4+6

y =  -[tex]\frac{1}{2}[/tex]x + 10

The function f(x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2,–1)} Which equation is true?

Answers

Answer:

y = -6x + 6

Step-by-step explanation:

To make an equation you need to find the slope first

To do that use the expression y2-y1/x2-x1 (-6)

Now plug that in to y = mx + b

Lastly you substitute any coordinate and find b

y = -6x + 6

Answer:C

Step-by-step explanation:

if the edges of the base of a rectangular prism are 8 cm and 6 cm, and the diagonal is 10√2, what is the volume of the solid?

Answers

Answer:

221.12 cm^3

Step-by-step explanation:

Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex.  Doing this will form two triangles.  The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm.  The base of this triangle is half of the 6" side, or 3 cm.

Use the Pythagorean Theorem to determine the height (h) of the prism:

h^2 + 3^2 = (10√2)^2, or

h^2 = 200-9 = 191

Then the height is √191 cm

and the base area is 6cm times 8 cm, or 48 cm^2

and so we end up with the volume V = (1/3)(base area)(height), or

                                                           V = (1/3)(48 cm^2)(√191 cm), or

                                                                  roughly 221.12 cm^3

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