30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.


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Answer:

30 miles

Step-by-step explanation:

First divide 15 and 5 because you need to know how much he did in a hour

Next multiple it by 10

Answer:

B

Step-by-step explanation:

so you know that where it around angle c you use supplementry angels. this makes it 180-130=50.

you then know that the triangle is 90degrees plus 50 degrees plus x =180

90+50+z=180

140+z=180

z=40

Answer:

B) ∠z = 40°

Step-by-step explanation:

All three angles of a triangle add up to 180°. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.

If ∠ADC = 130° then:

180° - 130° = 50°

Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.

180° - 50° - 90° =

180° - 140° = 40°

~Hope this helps!~

Answer:

(0,4)

Step-by-step explanation:

f(x)=4-5x

4-5(0)

5(0)=0

4-0=4

Answer: 4

Step-by-step explanation: 8 times 4 = 34

4 times 2 is 8 minus 6 is 2

32 + 2 = 34

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The number that satisfies the condition 'eight times a number plus 6 less than twice the number is 34' is 4.

This problem is a basic algebra problem. Here's how to solve it step by step:

So, the number that satisfies the given condition is 4.

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Answer:

0

Step-by-step explanation:

she took the same amount of money out of her account as she put in.

Answer:

10,000m²

Step-by-step explanation:

The figure can be divided into a rectangle and a triangle as shown in the attachment.

The area of the rectangular portion is

[tex] = l \times w[/tex]

[tex] = 120 \times 30[/tex]

[tex] = 3600 {m}^{2} [/tex]

The area of the triangular portion is

[tex] = \frac{1}{2} \times 80 \times 160[/tex]

[tex] = 6400 {m}^{2} [/tex]

The area of the figure is therefore

[tex] = 6400 + 3600[/tex]

[tex] = 10000 {m}^{2} [/tex]

Answer:

12.5%

Step-by-step explanation:

Our of 32 students, 4 students were absent on Monday, which means to get the percentage, we divide 4 by 32 and then turn it to percentage, by multiplying by 100

4/32= 0.125

0.125X100

= 12.5%

Answer:

12.5% of the students were absent on Monday

Step-by-step explanation:

32 students = 100 students

16 students= 1/2 of the class

8 students= 1/4 of the class

4 students= 1/8 of the class

Answer:

No

Step-by-step explanation:

Write the ratios of erasers to cost (dropping the dollar sign) as fractions:

(number of erasers)/(price): 2/1 and 10/4

The question is if the ratios 2/1 and 10/4 are equivalent.

2/1 = 2

10/4 = 2.5

A proportion is setting two ratios equal. Here, one ratio equals 2, and one ratio equals 2.5.

Since the ratios are not equivalent, the relation is not proportional.

Answer:

12 sheep

8 chickens

Step-by-step explanation:

x+y=20, x=number of sheep and y=number of chickens

4x+2y=64. (Total number of legs)

Solve the system algebraically or graphically.

1. Multiply the top equation by -2 then add the equations together to solve for x.

Or

1. Solve for y in the top equation and substitute that for y in the second equation.

Then

2. Put x into either equation to solve for y.

Answer:a

Step-by-step explanation:

The number is [tex]\( \frac{45}{8} \).[/tex]

Let's denote the unknown number as x. The given expression can be translated into an equation:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 \][/tex]

To find the number, set up the equation and solve for x:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 = x \][/tex]

First, distribute the 11:

[tex]\[ \frac{11x}{3} - 15 = x \][/tex]

Next, move [tex]\( \frac{11x}{3} \)[/tex] to the other side of the equation by subtracting it from both sides:

[tex]\[ -15 = x - \frac{11x}{3} \][/tex]

To combine the terms on the right side, find a common denominator (3):

[tex]\[ -15 = \frac{3x}{3} - \frac{11x}{3} \][/tex]

[tex]\[ -15 = \frac{-8x}{3} \][/tex]

Now, solve for x:

[tex]\[ x = \frac{-15 \times 3}{-8} \][/tex]

[tex]\[ x = \frac{45}{8} \][/tex]

So, the number is [tex]\( \frac{45}{8} \).[/tex]

The probable question may be:

Eleven times the quotient of a number and 3 minus 15. Find the number?

Answer:

Probability breaks down to this basic formula:

    desired outcome    

total possible outcomes

Also, you need to know there are 13 spades in a deck of cards.

So, on your first draw, the chances of getting a spade are:

13    (desired outcome: pick one of the 13 spades)

52    (total possibilities: 52 cards in the deck)

But on your second draw, if you don't replace the card, your chances of getting a spade are:

12

51

because you only have 12 spades left, and 51 cards total.

Then, on your last draw, the chances of getting a spade are down to:

11

50

Since each of these probabilities depend on each other, you multiply them up to get your overall probability:

13 * 12 * 11 =   1,716

52    51    50    132,600

This reduces, or you can just divide to get a decimal.

Step-by-step explanation:

Answer:

21ft 4in

Step-by-step explanation:

4+4=8 3+3=6 8ft 6in

6+6=12 5+5=10 12ft 10in

8+12=20ft 10+6=16in

16-12=4 20+1=21

21ft 4in

3/4 of the students did not go on the field trip.

On Monday, 3/12 of the students went on a field trip.

To find out what fraction of the students did not go on the field trip, we need to subtract the fraction that went on the field trip from the whole student body, which is represented by the fraction 1 or 12/12.

Let's perform the subtraction step-by-step:

Therefore, 3/4 of the students did not go on the field trip.

Answer:

Option A) D: {0 ≤ x ≤ 12}; The domain represents the amount of gas used

Step-by-step explanation:

Let

x ----> number of gallons used (independent variable)

y ---> number of miles remaining (dependent variable)

we know that

The domain of a function is the set of all possible values of x

so

The domain represents the amount of gas used

D: {0 ≤ x ≤ 12}

Answer:

3212333222555321233322321

Step-by-step explanation:

Answer:

B. 280

Step-by-step explanation:

The dimensions of the cross sections would be:

Base = 14

Height = 20

Find the area:

14 × 20 = 280

Answer:

$62.50

Step-by-step explanation:

125/2=62.5 --> $62.50

Answer:

dude put the whole question so people can answer right .

Step-by-step explanation:

Answer:

i do not have he info needed

Step-by-step explanation:

Answer:it’s b

Step-by-step explanation:

Answer:

Closure property

Step-by-step explanation:

The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.

For is

[tex] {x}^{2} + 2[/tex]

is a polynomial.

[tex]x - 2[/tex]

is also a polynomial.

The sum of the two polynomials is

[tex] {x}^{2} + 2 + x - 2 = {x}^{2} + x [/tex]

The result:

[tex] {x}^{2} + x[/tex]

is also a polynomial.

Answer:

multiplicative inverse

Step-by-step explanation:

A number that is multiplied by it's multiplicative inverse equals one.

A multiplicative inverse is also called a reciprocal.

Example:

1/7 is 7's multiplicative inverse.

[tex]\frac{7}{1} *\frac{1}{7} =\frac{7}{7} =1[/tex]

Answer:

inverse

Step-by-step explanation:

Answer: Not true

Step-by-step explanation:

8.21 /7.8

8.21 × 100 divided by 7.8 ×100

821/780

= 1.05

Answer:

4x-12

Step-by-step explanation:

x+3x-6-6

4x-6-6

4x-12

Answer: 3

Step-by-step explanation:

x + 3( x - 2) - 6 = 0

x + 3x - 6 - 6 = 0

4x - 12 = 0

4x = 12

dividing both sides by 4

x = 12/ 4

x = 3

Answer:

abut 20.5 im sorry i dont quite know how to explain it

Step-by-step explanation:

Final answer:

The perimeter of a rectangle is found by adding up the lengths of all its sides.

Explanation:

The perimeter of a rectangle is found by adding up the lengths of all its sides. In this case, the base of the glass house is a rectangle.

Let's say the length of the base is 12 meters and the width is 8 meters. To find the perimeter, we add up the lengths of all four sides: 12 + 8 + 12 + 8 = 40 meters.

Answer:

  4x^2 -16

Step-by-step explanation:

As with any "what must be added" problem, you subtract the parts you have from the result you want:

  (3x^2 +4x +8) + (2x^2 -6x +3) + what = 9x^2 -2x -5

Identify the stuff on the left that is not "what" and subtract it from the equation:

  what = (9x^2 -2x -5) - (3x^2 +4x +8) - (2x^2 -6x +3)

  what = x^2(9 -3 -2) +x(-2 -4 +6) +(-5 -8 -3)

  what = 4x^2 -16 . . . . . . . must be added to give the desired sum

Answer:

b

Step-by-step explanation:

The car dealership sold 24 basic model cars and 16 fully-loaded model cars. This was determined by creating and solving a set of linear equations based on the given information.

This question can be approached using the method of linear equations. We know that the total number of cars sold is 40 and the total sales is $880,000. We can represent the number of basic model cars as 'b' and the fully-loaded model cars as 'f'. The cost of a basic model car is $20,000 and for a fully-loaded model, it is $25,000. Therefore, we can establish two equations:

The system of these linear equations could be solved either by Substitution or Elimination method. Through careful calculation, it can be found that the answer is b=24 (basic models) and f=16 (fully-loaded models).

So, the correct answer is Option B : The dealership sold 16 fully loaded models and 24 basic models.

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Answer: 47.5 ft^2

Step-by-step explanation: First find the area of the rectangle using the formula length*height. This is 10*4 or 40.

Then find the area of the bottom triangle using the formula (base*height)/2. This will be (3*3)/2, which simplifies to 9/2, which is 4.5.

Then find the area of the top triangle using the same formula, which will be (2*3)/2, which simplifies to 6/2, which is 3.

Add all of these together. 40+3+4.5=47.5.

By decomposing the figure in simpler ones, we conclude that its area is 9 square units.

Let's read the figure from the top.

First, we can see in the top two triangles that have an area of half a square unit, then adding these two we have one square unit.

Below that, there are 4 square units inside the figure.

On the left and right sides, there are triangles of base of 1 unit and height of 2 units, then each of these triangles has an area of:

a = 1*2/2 = 1 square unit

And we have 2 of these triangles, so the total area is 2 square units.

Finally, on the bottom we can see 4 triangles like in the top part, we know that each one of these measure 0.5 square units, then the 4 add up to 2 square units.

Adding all the areas above, we see that the total area is:

A = (1 + 4 + 2 + 2) square units = 9 square units.

So the correct option is C

If you want to learn more about area, you can read:

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