Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.​

Answer:

.25 dollars or 25 cents

Step-by-step explanation:

128/2=64                         32/2=16

64/2=32                          16/2=8                        

32/2=16                           8/2=4

16/2=8                             4/2=2

8/2=4                               2/2=1

4/2=2                               1/2=(1/2)

2/2=1                                (1/2)/2=(1/4)

1/4 of 1 dollar is 25 cents

Answer:

35x + 1.5

Step-by-step explanation:

Answer:

A Matrix is an array of numbers:

2x3 Matrix

A Matrix

(This one has 2 Rows and 3 Columns)

To multiply a matrix by a single number is easy:

Matrix Multiply Constant

These are the calculations:

2×4=8 2×0=0

2×1=2 2×-9=-18

We call the number ("2" in this case) a scalar, so this is called "scalar multiplication".

Answer:

The perimeter of the tabletop is 152 inches

Step-by-step explanation:

So if P = 2L + 2W we have to do

(2*48) + (2*28)

So

96 + 56 = 152

Answer:

I believe it is 82.

Step-by-step explanation:

This is because a triangle's angles add up to 180. 180-65-33=82

Sorry if this is wrong

Answer:

the answer is 2.28 ounces

Answer: the answer is line 2

Step-by-step explanation:

Answer:

Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

w+13-[tex]\frac{2w}{3}[/tex]=16

w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]=3

w=9

Answer:

Step-by-step explanation:

The relevant trig relations are ...

  Tan = Opposite/Adjacent

  Sin = Opposite/Hypotenuse

These tell us ...

  tan(43°) = GH/DG

  GH = DG·tan(43°) = (12 cm)·tan(43°) ≈ 11.2 cm

and ...

  sin(HDE) = EH/ED = (11.2 cm)/(12 cm)

  ∠HDE = arcsin(11.2/12) ≈ 68.8°

The length HD can be found from ...

  tan(68.8°) = HE/HD

  HD = HE/tan(68.8°) = (11.2 cm)/tan(68.8°) ≈ 4.3 cm

_____

Additional comments

The values shown in the solution here are rounded according to the problem statement. The values actually used in the calculations are the full-precision calculator values. Rounding is only done on the final answers.

Answer:

w = -6

Step-by-step explanation:

[tex]9w=-54~(Given)\\\\\frac{9w}{9}=\frac{-54}{9}~(Divide~9~on~both~sides)\\\\w=-6~(Simplify)[/tex]

Answer:

3

Step-by-step explanation:

since the ratio is one to 3 there is one trombone for every 3 violas. you can find the answer by doing 9/3=3. so if there are 9 violas there are 3 trombones

Answer:

Step-by-step explanation:

1.

all the lines with slope 2 are parallel with each-other

all the lines with slope 1/3 are parallel with each-other

2.

all lines have positive slope so they go upward from left to right

3.

slope 2 is steeper then slope 1/3

4.

the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2

[tex]\sf 6-2x+5+4x[/tex]

[tex]\sf \longmapsto - 2x + 4x + 6 + 5[/tex]

[tex]\sf \longmapsto - 2x + 4x + 11[/tex]

[tex]\sf \longmapsto2x + 11[/tex]

Answer:

231.84

Step-by-step explanation:

I don't know but use a calculator

Answer:

The variable should not be Less than or equal to... it should be GREATER than or equal to [[tex]y\geq 2x-4[/tex]]

Step-by-step explanation:

Answer:

I believe her mistake is that the shaded area is on the wrong side of the line.

Step-by-step explanation:

Answer:

To divide two fractions, you must make one fraction the reciprocal. Then, multiply both numerators and both denominators.

EXAMPLE:

3/4 x 4/5

Take reciprocal for 4/5

3/4 x 5/4

Multiply numerators

3x5=15

Multiply denominators

4x4=16

ANSWER:

15/16

Step-by-step explanation:

the gradient describes the slope or steepness of the line joining two points.

it is expressed as the ratio of

y coordinate change / x coordinate change

so, we need to find 2 good points (typical with integer coordinates) per line to see how y and x changes between them.

for A I see e.g. (1, 1) and (2, 4)

for B I see e.g. (0, 5) and (1, 1)

so, for A

x changes by +1 (from 1 to 2)

y changes by +3 (from 1 to 4)

the slope or gradient of A : 3/1 = 3

and for B

x changes by +1 (from 0 to 1)

y changes by -4 (from 5 to 1)

the slope or gradient of B : -4/1 = -4

Answer:

7

Step-by-step explanation:

[tex]49^{1/2}[/tex]=[tex]\sqrt{49}[/tex]. so just find the square root of 49. luckily, 49=7^2 so the answer is 7

Answer:

I think it 7

hops it helps:)

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

Answer:

The value of x so f (x) = 7 is 5.

Step-by-step explanation:

Answer: x=-2

Step-by-step explanation:

Add three to both sides of the equation

4x-3=2x+7

4−3+3=2−7+3

simplify

4=2−4

4−2=2x-4−2

simplify

2=−4

Divide both sides of the equation by the same term

2=−4

2/2=−4/2

=−2

Answer: x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.x=5

Answer:

4u

Step-by-step explanation:

Perimeter of square = u+u+u+u

                                  = 4u

Answer:

6 units

Step-by-step explanation:

Just count

The distance between points A and B is 6 units.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

In geometry, Distance between two points will be always a positive number.

Distance will be 0, if the points coincide.

Here on a number line, A is marked at -5 and B at 1.

We have to find the distance between A and B.

Distance between A and B = 1 - -5 = 1 + 5 = 6 units

Hence distance between A and B is 6 units.

Learn more about Distances in Geometry here :

https://brainly.com/question/11990442

#SPJ7

Answer:

376.991 cm²

Step-by-step explanation:

[tex]SA_{cylinder} = 2\pi r^{2} + 2\pi rh[/tex]

Surface Area = 2π(5²) + 2π(5)(7)

                      = 50π + 70π

                      = 120π

                      = 376.9911184... ≈ 376.991

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

Answer:

B. 0

Step-by-step explanation:

Use the formula  

x  =  −  b /2 a

to find the maximum and minimum.

( − 3 , 0 )

Step-by-step explanation:

the 4th answer option is correct.

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.