Answer:
C
Step-by-step explanation:
Use elimination by multiplying thw whole top equation by 2. (both sides)
then cancel out y and solve for x. plug back in to get y
please mark brainliest if you found this helpful
Three consecutive odd integers have a sum of 45. Find the integers.
Answer:
13, 15, 17
Step-by-step explanation:
Each digit must be odd, and to get consecutive odd integers, you must add using the multiple of 2:
Let the least number be "x". Set the equation:
(x) + (x + 2) + (x + 4) = 45
Isolate the variable, x. First, combine like terms:
(x + x + x) + (2 + 4) = 45
(3x) + 6 = 45
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 6 from both sides:
3x + 6 (-6) = 45 (-6)
3x = 45 - 6
3x = 39
Divide 3 from both sides:
(3x)/3 = (39)/3
x = 39/3
x = 13
Your first number (x) is 13. Solve for the other 2 numbers:
(x) = 13
(x + 2) = 13 + 2 = 15
(x + 4) = 13 + 4 = 17
13, 15, 17 are your numbers:
Check:
13 + 15 + 17 = (13 + 15) + 17 = 28 + 17 = 45
~
How many molecules are in4 moles of HCl?
Answer:
8
Step-by-step explanation:
4(HCL)
H=1 mol,CL=1 mol
4(1+1)
4(2)
4x2=8molecules
The base of a shipping drum is in the shape of a circle with a diameter of 26 inches. Which of the following is closest to the circumference of the base of the shipping drum? (Use 3.14 for π .)
Answer:
Circumference = 81.64 inches
Please choose the closest out of the provided choices or post them if necessary.
Step-by-step explanation:
Circumference = diameter * pi
= 26 * 3.14
= 81.64
The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers.
Answer:
240 is the number with a zero and 24 is the number with no zero
Step-by-step explanation:
240 + 24 equals 264 . 240 has a zero take away the zero and you get the second number
Evaluate x^1-x^-1+ x^º for x= 2.
Answer:
5/2
Step-by-step explanation:
Step 1: Plug in x
2¹ - 2^-1 + 2⁰
Step 2: Evaluate
2 - 1/2 + 1
3/2 + 1
5/2
Answer:
[tex]\boxed{\frac{5}{2} }[/tex]
Step-by-step explanation:
=> [tex]x - x^{-1} + x^0[/tex]
Rule of exponents [tex]x^0 = 1[/tex]
For x = 2
=> 2 - [tex](2)^{-1}[/tex] + 1
=> 5 / 2
=> [tex]\frac{5}{2}[/tex]
Write the functions by the graphs
F(x)=
G(x)=
H(x)=
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}[/tex]
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2
How should you solve the equation x divided by 15 equals 60? What is the resulting equivalent equation? Choose the correct answer below. A. Divide each side by 15. Then simplify. B. Divide each side by 60. Then simplify. C. Multiply each side by 15. Then simplify. D. Multiply each side by x. Then simplify. E. Divide each side by x. Then simplify. F. Multiply each side by 60. Then simplify. The resulting equivalent equation is x=
Answer:
C; x = 900
Step-by-step explanation:
1. Write out the problem: x/15 = 60
2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).
3. Equation then becomes this: x = 15*60
4. Answer: 900
5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
When x=-2, g=0
Step-by-step explanation:
(-2)^2=4, then add 2(-2)=-4 to this, getting 0
A mother is 30 years older than her son. Fifteen years ago the son was 1/3 of
his mother's age. How old is each now?
Answer: The son is 30 and the mother is 60
Step-by-step explanation:
Mother's age = m
Son's age = s
m = s + 30
m-15 = 3(s - 15)
m - 15 = 3s - 45
m = 3s - 30
(Substitution)
s + 30 = 3s - 30
2s = 60
s = 30
m = 60
Hope it helps <3
Trick question---
Just kidding I think that 15 years ago his mother was 45
he was 15 and now he is 30 and she is 60.
literally sat here thinking that 30 is ruled out, and 60 would be 20 but then she'd be too old, suddenly it clicked, if you said he'd be half her age now, it'd be to easy, because half her age now would be 30 and it'd give the answer straight away.
You or your teacher has a big percentage of the brain used. I respect.
Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours. Matt drove twice as long as John. How many hours did Bob drive if he drove the remaining time?
Answer:
Step-by-step explanation:?
Step-by-step explanation:
total hours = 8 1/4= 33/4
Sam = 1 1/3 = 4/3
john=1 5/6 =11/6
matt= twice as long as john= 2(1 5/6)= 11/3
Bob= x
4/3+11/6+11/3 + x =33/4
11+22+8/6 + x =33/4
41/6 + x =33/4
x = 33/4 - 41/6
x= 99-82/12
x=17/12
x =1 5/12
therefore Bob drove 1 5/12.
A parachutist's rate during a free fall reaches 198 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answer:
300 feet
Step-by-step explanation:
If we were using feet the expression would be 198x, where x is feet per second
Since they are asking in meters we need to convert feet to meters
When you do that you get 60
Now the expression is 60x
When you plug 5 into the equation it is 300
Which sum or difference is modeled by the algebra tiles?
Answer:
option 4
Step-by-step explanation:
(2x - 3) - (-3x + 4)
= 2x - 3 +3x - 4 {remove parenthesis by bringing in th (-) sign}
= 2x + 3x - 3 - 4 {add the like term}
= 5x - 7
Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 10x + 30. Identify and interpret the y-intercept in this model.
Answer:
y-intercept is 30
Step-by-step explanation:
Given the model [tex]y = 10x + 30.[/tex] comparing this model to the equation of a straight lines we can get the y- intercept
[tex]y = 10x + 30\\\y= mx+c[/tex]
The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.
The y-intercept in this model for the average gym costs is 30.
What is the y-intercept?In a linear equation, the y-intercept can be interpreted as the constant. It is the value that does not change with the number of months a person goes to the gym. The y-intercept can also be referred to as the fixed cost. In this question, the y-intercept is 30.
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Vicki currently earns $35.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise. How much will she earn each hour after the raise?
Answer:
$40.25 per hour
Step-by-step explanation:
If you multiply 35 by 15% you get 5.25. You can either add this on, or you can multiply by 1.15 instead of .15.
a simple closed figure formed by three or more segement is called a
Answer:
Step-by-A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. step explanation:
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A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent
Answer:
Polygon
Step-by-step explanation:
a simple closed figure formed by three or more segement is called a Polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent.
Hope this helps!
On February 2nd, Jordan is going on a class trip to Washington D.C. He is saving his weekly allowance to use as
spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week, and he records
the total amount of money he has saved in the table below.
Week
January 4 January 11 January 18 January 25 February 1
Total $ Saved
$86
$94
$102
With only two weeks left before the trip, Jordan wants to predict how much money he will have to bring on the trip. What
is the total amount of money that Jordan will have saved on February 1st?
$106
$110
$116
$118
Answer:
$118
Step-by-step explanation:
The amount Jordan will have on 1st of the February is $118
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Given that, On February 2nd, Jordan is going on a class trip to Washington, D.C. He is saving his weekly allowance to use as spending money while on the trip. Each week, Jordan's parents give him the $8 he earned for the week,
The saving are
In 1st week = $86
In 2nd week = $94
Therefore, we can consider the coordinates as (1, 86) or (2, 94)
We know that, standard equation of a line = y = mx+c
Where, m is the slope,
We have here slope = 8
Finding for c, put x = 1 and y = 86
c = 78
Now finding the amount for 5 weeks, that means x = 5
y = 5x8+78
y = 118
Hence, The amount Jordan will have on 1st of the February is $118
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FIND THE MISSING LENGTH INDICATED
Answer:
25 units.
Step-by-step explanation:
The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.
Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.
Now that we know the triangles are similar, we can construct a proportion...
[tex]\frac{16}{20} =\frac{20}{x}[/tex]
That means that 4/5 = 20/x
1/5 = 5/x
x = 25
Hope this helps!
HELP ASAPPPPP!
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
(p.s if its easy im in 5th grade dont judge)
Answer:
can you please make the question more clear!
Step-by-step explanation:
i am guessing you are asking if 1/ (2·2) (3+(3.4·5))=
1/ 4+17+3
1/24?
Find the surface area
Answer:
143 yards squared.
Step-by-step explanation:
According to the diagram, there are 6 sides: two trapezoids, and 4 rectangles.
To find the area of a trapezoid, you need to calculate using the formula shown below.
The height of each trapezoid is 3.5 yards. The b1 of each trapezoid is 3 yards. The b2 of each trapezoid is 7 yards.
So, the area of a single trapezoid is [3.5(3 + 7)] / 2 = (3.5 * 10) / 2 = 35 / 2 = 17.5 yards squared.
The area of two trapezoids will be 17.5 * 2 = 35 yards squared.
To find the area of a rectangle, do base times height.
There are, apparently, three types of rectangles in the diagram. All four rectangles have a width of 6 yards. One rectangle has a length of 3 yards, two rectangles have lengths of 4 yards, and one rectangle has a length of 7 yards.
So, the total areas of the rectangles are: (3 * 6) + 2(4 * 6) + (7 * 6) = 18 + 2 * 24 + 42 = 18 + 48 + 42 = 108 yards squared.
So, the total surface area of the figure is 35 + 108 = 143 yards squared.
Hope this helps!
pls help me with my homework
Answer:
Any number larger than 10 units (in my example, 30 units)
Step-by-step explanation:
A scaled copy of a shape means that all the angles are the same and that it is basically the same shape that has been made bigger or smaller but still with the same proportions.
Note: If the scale factor is greater than 1, it means that Iria's scaled copy will be larger than this triangle.
Step 1.
Choose any number larger than 1 (as we aren't given the actual number she chose). To make things easy, I will choose the number 3 as it's a small number and it's a whole number (not a fraction or decimal).
Step 2.
Take the number you chose before (in my case, 3) and multiply it with the base length of the triangle in the diagram.
10 x 3 = 30 units
Note: Since the scale factor could be any number larger than 1, the base length can be any number larger than 10.
I hope this helps! :)
Bluey
[PLEASE ANSWER BOTH QUESTIONS] The following data points represent the number of quesadillas each person at Toby's Tacos ate. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.
Answer:
Part 1: Already solved.
Part 2: 1 quesadilla.
Step-by-step explanation:
Part 1: The data points given are 0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, and 2.
The data are already sorted from least to greatest.
Part 2: To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers: 0, 0, 1/4, 1/2, 1/2 (any number less than 1). There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with a first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "1": 1, 1, 5/4, 2, 2. Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with a third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile. 5/4 - 1/4 = 4/4 = 1.
So, your interquartile range is 1 quesadilla.
Hope this helps!
Answer:
1
Step-by-step explanation:
On khan
The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number
Answer:
Step-by-step explanation:
If the smallest number is 'x', then the other number = x +1
x*(x+1)= 420
Use distributive property
x*x + x*1 = 420
x² + x - 420 =0 ------> this is the required quadratic equation.
Express the radical using the imaginary unit, i
Express your answer in simplified form.
tv-49 =
Answer:
7i.
Step-by-step explanation:
Note : The given expression must be [tex]\sqrt{-49}[/tex].
We have to write this radical value in the imaginary value.
The given value can be rewritten as
[tex]\sqrt{-49}=\sqrt{49\times (-1)}[/tex]
[tex]\sqrt{-49}=\sqrt{49}\times \sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\sqrt{-49}=7\times i[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{-49}=7i[/tex]
Therefore, the required expression is 7i.
The endpoints of CD¯¯¯¯¯¯¯¯ are C(−8,−6) and D(−4, 10). The coordinates of the midpoint M of CD¯¯¯¯¯¯¯¯ are ( , ).
Answer:
m(-6,2)
Step-by-step explanation:
m=(-8+-4/2,-6+10/2)
=(-12/2,4/2)
=(-6,2)
The coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).
What is midpoint?For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.
The formula to find the midpoint using the coordinates of the line is,
[tex]m=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of the endpoints of the line.
The endpoints of CD are C(−8,−6) and D(−4, 10). To find the coordinates of the midpoint M, put the values in the above formula as,
[tex]m=\left(\dfrac{-8+(-4)}{2},\dfrac{-6+10}{2}\right)\\m=\left(\dfrac{-12}{2},\dfrac{4}{2}\right)\\m=\left(-6,2)[/tex]
Thus, the coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).
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What is the y-intercept of the line that passes through (-6,2) and (4,-2) ?
2
5
22
5
No lo a los alusta
2
5
22
5
Answer:
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-2
5
= -0.4
θ =
arctan( ΔY ) + 360°
ΔX
= 338.19859051365°
ΔX = 4 – -6 = 10
ΔY = -2 – 2 = -4
Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269
Equation of the line:
y = -0.4x – 0.4
or
y =
- 2 x
5
– 2
5
When x=0, y = -0.4
When y=0, x = -1
Answer:
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-2
5
= -0.4
θ =
arctan( ΔY ) + 360°
ΔX
= 338.19859051365°
ΔX = 4 – -6 = 10
ΔY = -2 – 2 = -4
Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269
Equation of the line:
y = -0.4x – 0.4
or
y =
- 2 x
5
– 2
5
When x=0, y = -0.4
When y=0, x = -1
Which degrees is the answer
Answer:
75°
Step-by-step explanation:
Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°
All we need to do is simply subtract 15° from 90° to find m∠ATB:
90 - 15 = 75°
Answer:
75°Solution,
Let m<ATB be X
[tex]x + 15 + 90 = 180[/tex]
(sum of angle in straight line)
[tex]x + 105 = 180[/tex]
subtract 105 on both sides
[tex]x + 105 - 105 = 180 - 105 \\ x = 180 - 105 \\ x = 75[/tex]
Hope this helps ...
Good luck on your assignment..
which is not an equation of the line going through (3, -6) and (1,2)
PLEASE HELP WITH THIS(INORDER FOR ME TO GIVE YOU A BRIANLIST,EXPLAIN HOW U GOT IT)(will give brainlist and thanks)(Find the perimeter)
Answer:
13x+10
Step-by-step explanation:
Answer:
7x+10 cm
Step-by-step explanation:
To find the perimeter add up all the sides
There are 5 sides
3x+5+2x+2x+5
Combine like terms
3x+2x+2x +5+5
7x+10
The perimeter is 7x+10
DeShawn and Pranav each improved their yards by planting daylilies and shrubs. They bough
their supplies from the same store. DeShawn spent $143 on 9 daylilies and 4 shrubs. Pranav
spent $198 on 14 daylilies and 4 shrubs. Find the cost of one daylily and the cost of one shrub
Answer:
Daylilies cost $11 and shrubs cost $11
Step-by-step explanation:
Let's call the cost of daylilies as x and the cost of shrubs as y. We can write:
9x + 4y = 143 -- Equation 1
14x + 4y = 198 -- Equation 2
5x = 55 -- Subtract Equation 1 from Equation 2
x = 11 -- Divide by 5
9 * 11 + 4y = 143 -- Substitute x = 11 into Equation 1
4y = 44 -- Subtract 99
y = 11 -- Divide by 4
Please help me find volume of prism
Answer:
216 yds
Step-by-step explanation:
Each are multiplied together by length, width, and height. 6 x 6 x 6 equals 216. So your answer is 216 yards.
Answer:
216 [tex]yd^3[/tex]
Step-by-step explanation:
Recall the formula for the volume of a prism:
[tex]Vol=W\,*\,D\,*\,H[/tex]
where W represents the prism's width, D its depth, and H its height.
In your case the prim is in fact a cube because the three dimensions above are equal (all of them are 6 yards)
Then the volume of this prism is:
[tex]Vol=W\,*\,D\,*\,H\\Vol= 6\,yd\,*\,6\,yd\,\,*\,6\,yd\,\\Vol= 216\,\,yd^3[/tex]