2 Last year the girls' basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth- grade students to fifth-grade students on the team? A. 8:15 B. 8:7 C. 7:8 D. 15:8

Answer:

x = 25

Step-by-step explanation:

x + 25 + 2x - 10 + 90 = 180

3x + 105 = 180

3x = 75

x = 25

Answer:

(8) [tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

(9) [tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

(10) [tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex](8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)[/tex]

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

[tex]x + y = -6 - 2[/tex]

[tex]x + y = -8[/tex] --- (1)

[tex]2x - y = 2 * (-6) - (-2)[/tex]

[tex]2x - y = -10[/tex] -- (2)

So, the equations are:

[tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

[tex]3x - y = 3 *(-12) - 18[/tex]

[tex]3x - y = -54[/tex]

[tex]4x + y = 4 * (-12) + 18[/tex]

[tex]4x + y = -30[/tex]

So, the equations are:

[tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

Solving (9): (2,0)

Let the equations be: x + y and x - y

[tex]x + y = 2 + 0[/tex]

[tex]x + y = 2[/tex]

[tex]x - y = 2 - 0[/tex]

[tex]x - y = 2[/tex]

So, the equations are:

[tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

2(3x + 4) = 4x + 12

6x + 8 = 4x + 12

2x + 8 = 12

2x = 4

x = 2

Answer:

the person above is correct

Step-by-step explanation:

its c

The expression x² − 17x − 60 can be factorized as  (x + 3) (x- 20).

An expression in math is a sentence with a minimum of two numbers/ variables and at least one math operation in it. Let us understand how to write expressions.

Given:

x² − 17x − 60

Now, factorizing we get

x² − 20x + 3x − 60

= x(x − 20) + 3(x − 20)

= (x + 3) (x- 20)

Hence, the expression can be factorized as  (x + 3) (x- 20).

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Answer:

108 schools

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I said so

Answer:

C. They are similar triangles.

Step-by-step explanation:

they have the same angle measures, but not the same side lengths. so they are similar but not congruent.

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

The equation of the line in slope intercept form is

we have

-----> the point (0,16) is the y-intercept

substitute

convert to function notation

f(x)=y

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

step 2

Find the equation of the line into point slope form

we have

substitute

Convert to standard form

Multiply by 4 both sides to remove the fraction

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

-brainly user

Answer:

Your function would be y = 1/2x + 16.

Explanation:

Points: (0, 16); (2, 17)

Slope: m = (17 - 16) / (2 - 0) = 1/2

Slope intercept form: y = mx + b

So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.

Therefore, your ending function is y = 1/2x + 16.

Answer:

B

Step-by-step explanation:

When two angles are on the interior like that, they are adding up to 180 degrees in total.

So, x would be 20 because

2x+60=

2 times 20, plus 60 = 100

and 3x+20=

And 3 times 20, plus 20 = 80

Adding up 100 and 80, you get 180 degrees.

I hope this helps. I'm a student too but I hope I explained it relatively ok.

Answer:

-125

Step-by-step explanation:

[-5]^3 = -125

Answer:

could you explain more clearly for me? if Chandra had 9 jugs, each was one gallon, what's the take away? I need to know for example: each member had 2 cups of juice which would sum up to (insert number) how much juice was left?

Answer:

what historian

what was the information

Answer:

Rounding up numbers means to make a number with many numerical values or digits into a more simpler way.

Step-by-step explanation:

In order to round up a number you have to look to the digit next to it and if its greater then five it rounds up, if it's less then five it stays the same. If the number only has one digit then you have to look at that number and round up by seeing if its greater than or less than five.

Examples:

[tex]7[/tex]

[tex]7>5[/tex]

[tex]7=10[/tex]

7 rounded up equals 10 because 7 is more near 10 then it is to one.

Round the number 12,371 to the nearest thousand.

This means to find the thousands place value (two) check the number next to the thousands place value (hundreds or three) and check to see if that number is greater then five or not.

[tex]12,371[/tex]

[tex]3 <5[/tex]

[tex]=12,000[/tex]

Therefore the 12,371 rounded to the nearest thousand is "twelve-thousand" and that's because three is not greater then or equal to five.

Hope this helps.

Answer:

5. (a)

6. (b)

I am hoping that this will help you

Answer:

17/20

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] + [tex]\frac{4}{5}[/tex] - [tex]\frac{7}{10}[/tex]

common denominator is 20

15/20 + 16/20 - 14/20

17/20

Answer:

They have no relation, except for the fact that they intersect. If the equations were instead y = +5/4x - 1/2 and y = -4/5x + 2, or y = +4/5 + 2 and y = -5/4x -1/2, then they would be perpendicular.

Option 3 is the right answer.

Step-by-step explanation:

For the given lines y = -4/5x+2 and y = -5/4x - 1/2

we have to identify whether lines are parallel or perpendicular.

As we know if two lines are perpendicular then gradients of two lines will in the form of

m1 m2=(-1)

and if the lines are parallel then the gradients of the lines will be same.

m1=m2

Here m1 = -4/5 and m2 = -5/4

Therefore

m1m2=(-4/5)(-5/4)=(+1)

and  

m1≠m2

So both the lines are neither parallel nor perpendicular to each other.

Option 3 is the right answer.

The solution f(x) = -4x2 – 3x + 2 is x=-1.17 and x = 0.43

The correct option is (A)

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given equation is :-4x²-3x+2

using the Quadratic Formula where

a = -4, b = -3, and c = 2

x = -b ±√b²-4ac/2a

  = 3±√9+32/(-8)

  = 3± √41/(-8)

x= 3/(-8) + √41/(-8) or     x= 3/(-8)- √41/(-8)

x= -1.17 and x= 0.4253

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Answer:

1

Step-by-step explanation:

1 is the right answer for this question

Answer:

The scale factor is 3

Step-by-step explanation:

The answer is 3

Answer:

I think it is 10

Step-by-step explanation:

I said I think it might be 9

Answer:

6

Step-by-step explanation:

Answer:

h=8 in

Step-by-step explanation:

Formula: V=pi r^2 h

Cylinder A:

radius: 4 in  height: 2 in

V=pi*4^*2*2

V=pi*16*2

V=pi*32

V=3.14*32

V=100.48

Cylinder B:

radius: 2 in  height: ?  volume: 100.48

100.48=pi*2^2*h

100.48=pi*4*h

100.48=3.14*4*h

100.48=12.56*h

100.48/12.56=h

h=8 in

Hope this helps :)

Plz give me brainliest

Answer:

The volume is  2703.730036 (I didn't round it)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Substitute b=5 to the expression:

=6(2(5)−4)

Evaluate inside the parentheses. Multiply 2 and 5 first:

=6(10−4)

Then subtract:

=6(6)

Finally, multiply:

=36

Answer: The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:  Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.

Answer:

The volume of the cube is;

[tex]8\dfrac{3}{4} \ cube \, units[/tex]

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

The side length of each cube, s = 1/2 unit

The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = [tex]8\dfrac{3}{4} \ cube \, units[/tex] = 8.75 cube unit

Answer:

102.010201 carb per serving

Step-by-step explanation:

Answer:

The answer is 30.

Step-by-step explanation:

Answer:

40 ft^2

Step-by-step explanation:

lateral surface area -Slat = 24 ft^2

top surface area-Stop = 8 ft^2

bottom surface area -Sbot = 8 ft^2

24+8+8= 40

total surface area -Stot = 40 ft^2

Answer:

40

Step-by-step explanation:

took the test