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Answer:

x=1/3

Step-by-step explanation:

3x+4=5

-4       -4

3x=1

3x/3=1/3

x=1/3

Answer:

25m + 10b = 400

Step-by-step explanation:

Total amount that can be earned = $ 400

Amount earned on mowing a lawn = $ 25

Amount earned per hour on babysitting = $10

Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m

Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b

Total amount earned = Amount earned from mowing m lawns + Amount earned from babysitting for b hours

Using the values from above, we can set up the equation as:

400 = 25m + 10b

Answer:

87.5%

Step-by-step explanation:

If there are 48 students in total and 6 girls, then the remaining students are  boys

The number of boys = 48 - 6 = 42

Now, calculate the %

42/48 x 100 = 7/8 x 100 = 87.5%

Hope this helps

If there are 48 students in a class and 6 of them are girls then the percentage of boys in the class is 87.5%,

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

Number of students = 48

Number of girls = 6

Then number of boys = 48 - 6

The number of boys = 42

Therefore,

The percentage of boys in the class is,

[tex]\dfrac{42}{48}\times 100= 87.5 \text{ percent}[/tex]

Hence,

There are 87.5 percent of boys in the class.

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Answer:

1: 55

2: 128

3: 175

Step-by-step explanation:

I believe that this is correct.

Answer:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area

Step-by-step explanation:

Answer: x = -9

Step-by-step explanation:

When you look at the line, you can see it's plotted on the x-axis. From there you know the solution will be equal to x. Since the line passes right through the number -9 on the x-axis line, the answer would be x = -9. The line is straight which means it has no y intercept which is why x is only equal to -9.

Answer:

I believe it's the last one... "The association is linear based on the overall pattern"

Answer:

D

Step-by-step explanation:

boxes are the f. the amount in each is 24. theses will be mulitplied. then you want to add what he already had. that's the +39

Answer:

d

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

First you'd write an equation:

y(the number of seats) = 3x(the number of rows) + 30

Then, you'd replace the X with 25 and get your answer:

y = 3 (25) + 30

y = 75 + 30

y = 105

Answer:

4 in first number is in tenth place, so its 40

4 in second number is in unit place, its 4 only

Answer:

x = 12

Step-by-step explanation:

These are corresponding angles, so they're equal to each other:

9x - 13 = 6x + 23

9x - 6x = 23 + 13

3x = 36

x = 12

Answer:

[tex] \boxed{x = 45°} [/tex]

Step-by-step explanation:

When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.

To determine the angle of the arc, we must apply this geometric rule:

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].

Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →

[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →

[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →

[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

[Given]

[tex] \overset{\frown}{BA} = x° [/tex]

[tex] \overset{\frown}{CD} = 99° [/tex]

[tex] Angle \: formed \: by \: chords \: = 72° [/tex]

→

[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]

→

[tex] x° = 2 × 72° \: – \: 99° [/tex]

[tex] x° = (2 × 72°) \: – \: 99° [/tex]

[tex] x° = 144° \: – \: 99° [/tex]

[tex] \boxed{x° = 45°} [/tex]

Answer:

[tex](\sqrt[3]{729} )^{3}[/tex] + 24 can be simplified to 753.

Step-by-step explanation:

If you take the root of a number to a specific number, then square that by the same number you took the root by, then you will have the same number you started with. In this case, [tex]\sqrt[3]{729}[/tex] equals 9, and [tex]9^{3}[/tex] equals 729, so [tex](\sqrt[3]{729} )^{3}[/tex] equals 729. 729 + 24 = 753, so that is the simplified answer.

Answer:

the number of 2 point and number of 3 point be 27 and 8 respectively

Step-by-step explanation:

Let us assume the number of 2 point be x

And, the number of 3 point be y

Now according to the question

2x + 3y = 78

x + y = 35

Multiply by 2 in equation (2)

2x + 3y = 78

2x + 2y = 70

y = 8

So,

x = 35 - 8

= 27

Hence, the number of 2 point and number of 3 point be 27 and 8 respectively

Answer:

850

Step-by-step explanation:

Price x .30 (100%-70%)=sales price

price x .30 = 255

price = 255/.30

price = 850

Answer:

1,365 miles

Step-by-step explanation:

455 mph times 3 hours equals to 1,365.

Answer:

y = 0.5

x = 4 - y (0.5)

3.5 = 4 - 0.5

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

3x - 10 = y

3(3.5) - 10 = y

10.5 - 10 = y

0.5 = y

Answer: 0.5

Step-by-step explanation:

Answer:

D. 2^7

Step-by-step explanation:

Answer:

2^7

Step-by-step explanation:

When we multiply the same bases with exponents like 2^3*2^4 we can add the exponents and keep the base the same

2^7 would be the answer or you can simplify further to get 128

but they said simplify so 2^7 is the answer

If they said evaluate then our answer is 128

The answer is C.........

Answer:

116

Step-by-step explanation:

plug in the 10 in the x values to get 12(10)-4 which is 116.

Answer:

50 oz because 15 is 30 percent of 50

Step-by-step explanation:

Answer:

there was 50oz of juice originally

Step-by-step explanation:

Answer:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}=\frac{1}{2+x}[/tex]

Step-by-step explanation:

[tex]\frac{x-5}{\left(x-3\right)\left(x+2\right)}+\frac{2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

[tex]=\frac{x-5+2}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-5+2=-3[/tex]

[tex]=\frac{x-3}{\left(x-3\right)\left(x+2\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x-3[/tex]

[tex]=\frac{1}{2+x}[/tex]

Answer:

-3 1/2

Step-by-step explanation:

-4.5 + 1 = -3.5

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

38%

Step-by-step explanation:

If you convert the fraction to a decimal (0.375), and then multiply it by 100, you should get 37.5, which is the exact percentage.

37.5%

  ↓

38.0%

Your answer should be 38%.

[NOTE: 5 always rounds up]