Answer:
Hey there!
Original Equation
-5x-4y=-8
Multiply by -1
5x+4y=8
Subtract 4y
5x=8-4y
Divide by 5
x=(8-4y)/5
Let me know if this helps :)
Answer:
x = -4/5y + 8/5
Step-by-step explanation:
So to single out x we use the communicative property,
its the moving of numbers and variables to each side of the equation.
So we have,
-5x - 4y = -8
+4y
-5x = 4y - 8
Divide -5 by both sides,
x = -4/5y + 8/5
Thus,
the equation rearanged is x = -4/5y + 8/5.
Hope this helps :)
In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
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.
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
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
A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many red marbles are in the bag.
Answer:
35 red marbles
Step-by-step explanation:
So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.
Answer:
35 red marbles
Step-by-step explanation:
The total number of marbles the student recorded is 20
Now we have to make a ratio of red to the total number of marbles
That would be 7 : 20
After this, there will be a new ratio which is x : 100
Lastly we will solve for x making the equation 20x = 700, x = 35
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.
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
An arithmetic sequence is represented in the following table. Enter the
missing term of the sequence.
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
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.
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
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
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)
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!!! :)
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
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
Martin uses 8 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?
Answer: 32/345 wall per gallon
Step-by-step explanation:
Rate is defined as ratio between two quantities with different units.
Gallons of paint used by Martin = 8 5/8 gallons = 69/8 gallons
Portion of wall Martin wishes to pint = 4/5 wall
Rate at which Martin paints the wall:
= Portion of wall covered / paint used
=
4/5 / 69/8 = 32/345 wall per gallon
Answer:
Martin paints 0.093 walls per gallon of paint
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Amount of paint used by Martin = 8 5/8 of a gallon
Ratio of wall painted by Martin with 8 5/8 of a gallon = 4/5
2. What is the unit rate at which Martin paints in walls per gallon?
Let's convert the mixed fractions to decimals this way:
8 5/8 = 8 + 0.625 = 8.625
4/5 = 0.8
Now, let's use the Direct Rule of Three, this way:
Gallons Walls
8.625 0.8
x 1
Solving for x :
0.8x = 8.625 * 1
x = 8.625/0.8
x = 10.78125
x = 10.8 (rounding to next tenth) gallons
For painting a wall, we will use 10.8 gallons of paint. Now, we can calculate the unit rate at which Martin paints in walls per gallon, this way:
Gallons Walls
10.8 1
1 x
Solving for x :
10.8x = 1
x = 1/10.8
x = 0.09259
x = 0.093 (rounding to the next hundredth) walls per gallon of paint
If 6 is subtracted from 3 times a certain number, the result is 84. Find the number.
Answer:
30
Step-by-step explanation:
So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct
What is the difference between a Rate and a Ratio? Explain
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.
The perimeter of an equilateral triangle is 30 cm. Find the length of each side of the triangle.
Answer:
10 cm
Step-by-step explanation:
The perimeter of a equilateral triangle is
P = 3s where s is the side length
30 = 3s
Divide each side by 3
30/3 = 3s/3
10 = s
Find what x equals: |3x–1|=4
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
Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that is19,000 invested at 3.5% interest for 10yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent.
Answer: 26801.38
Step-by-step explanation:
The following parameters are given:
The money invested which is
The principal P = 19000 dollars
The rate R = 3.5 %
Period t = 10 years
The formular for amount of money after 10 years will be
A = P( 1 + R% )^t
Substitute all the parameters into the formula
A = 19000( 1 + 3.5/100 )^10
A = 19000 ( 1 + 0.035 )^10
A = 19000 ( 1.035 )^10
A = 19000 × 1.41059
A = 26801.376
A = 26801.38 dollars
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?
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!
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?
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:
What number should replace the ?
Answer:
94
Step-by-step explanation:
There is a common pattern.
4² = 16
Switch digits 16 ⇒ 61
5² = 25
Switch digits 25 ⇒ 52
6² = 36
Switch digits 36 ⇒ 63
7² = 49
Switch digits 49 ⇒ 94
10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12
2. 5X - 15 = 3X + 4
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 = 32).5x - 15 = 3x + 4
Group like terms
We have
5x - 3x = 15 + 4
Simplify
2x = 19
Divide both sides by 2
x = 19/2Hope this helps you
Letters a, b, c, and d are angle measures.
Which should equal 105° to prove that f // g?
Оа
Oь
n
a
Ос
6
750
d
g
Answer:
d
Step-by-step explanation:
Triangle DEF will be rotated 180° clockwise. Where will D’ be located?
a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)
Answer:
a. (4, -7)
Step-by-step explanation:
Point D is at (-4,7).
Rule for a 180° rotation clockwise around the origin:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Apply the rule to point D:
[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]
Option A should be the correct answer.
Brainilest Appreciated.
Answer:
a. (4, -7)
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?
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
In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I
Answer:
C.Quadrant III
EXPLANATION:
IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE
What is the measure of XZ (the minor arc)?
A. 116
B. 290
C. 244
D. 58
Answer:
D
Step-by-step explanation:
The required measure of XZ (the minor arc) is 116. Option A is correct.
In the figure, a circle gave with 3 arc divisions XY, YZ, and XZ. And angle 58 at point y.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by. (x-h)²+(y-k)²=2 where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
Since by the property of the circle the angle subtended by arc to the vertex corresponding to the center is half the measure of the angle subtended by the arc to the center.
so, let the center of the circle is o.
Now,
measure of XZ = 2 * 58
= 116
Thus, the required measure of XZ (the minor arc) is 116.
Learn more about circle here:
brainly.com/question/11833983
#SPJ5
1. f(x) = x² - 4 ; if x is even = 3x – 2; if x is odd solve for f(4) and f(5)
=======================================================
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
SOMEONE PLS HELP I WILL GIVE BRAINLIEST
factor x^(n+2)+x^(2)
pls explain too :>
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)
Use the graph to find the value of y = sin q for the value of q.
Answer:
c
Step-by-step explanation:
Mike packed three granola bars, measuring 8 cm by 3 cm by 1cm. What volume a box needs
to hold twelve bars?
Answer:
288 cm^3
Step-by-step explanation:
First, you have to calculate the volume of your individual bar. To do this, you multiply the three given values, so it would look like 8*3*1=24. This means that your individual bar has a volume of 24 cm^3.
To hold 12 granola bars, this would mean that your volume of the individual granola bar would be multiplied by 12, because that is how many you want to fit inside the box. So your operation would looked like 24*12=288 cm^3
Rectangle has DEFG vertices D(-6, -5), E(-6,-2), F(-2,-2) and G(-2, -5). The figure is first translated 3 units up and then rotated 90 degree clockwise about the origin. What is the shape of the figure after this sequence of transformations?
Answer:
a rectangle
Step-by-step explanation:
Translation and rotation are rigid transformations. They do not change the shape or size. The figure is still a rectangle after these transformations.
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
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 = 65Step-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