50 points

enter the value of c when the expression 21.2x + c is equivalent to 5.3(4x - 2.6).

Answer:

[tex]x=\sqrt{120}[/tex]

Step-by-step explanation:

Solving for two legs of triangle first.

Top Triangle
[tex]a^2+b^2=c^2[/tex]

[tex]15^2+b^2=19^2[/tex]

[tex]b^2=19^2-15^2[/tex]

[tex]b^2=361-225\\b=\sqrt{136}[/tex]

Bottom Triangle

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+b^2=(\sqrt{136} )^2\\16+b^2=136\\b^2=120\\b=\sqrt{120}[/tex]

Answer:

12x - y

Step-by-step explanation:

14x - (2x + y) ← distribute parenthesis by - 1

= 14x - 2x - y ← collect like terms

= 12x - y

Answer:

12x - y

Step-by-step explanation:

14x -(2x +y)

14x -2x -y

12x -y

Answer:

a) the product is equal to 953.

b) the product is greater than 443.

c) the product is greater than 181.

Step-by-step explanation:

a) 953 × 63/63 = 953

Therefore, the product is equal to 953.

b) 443 × 86/79 = 482.25

Therefore, the product is greater than 443.

c) 181 × 30/28 = 193.93

Therefore, the product is greater than 181.

Hope this helps =)

Answer:

144

Step-by-step explanation:

A=BH

your base is 9 and your height is 16. 16 times 9= 144. Hope this helps :)

Using proportions, it is found that they spent a total of £5.6 for these cartons of apple juice.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the daily fraction of a carton they drink is given by:

[tex]\frac{1}{3} + \frac{2}{5} = \frac{5 + 6}{15} = \frac{11}{15}[/tex]

Hence, applying the proportion, over 10 days, the amount of cartons they drink is given by:

[tex]10 \times \frac{11}{15} = \frac{110}{15} = 7.33[/tex]

Rounding up, they buy 8 cartons, each at £0.7. Hence the total amount spent is given by:

8 x £0.7 = £5.6.

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Answer:

Tax = $7.36

Step-by-step explanation:

[tex]tax=92(\frac{8}{100} )=92(0.08)=7.36[/tex]

Hope this helps

Answer:

7.36$ tax.

When finding the whole amount of dollars to the percentage, multiply the whole number(92) by the tax percentage(0.08) which is a decimal for this case.

[tex]92 * 0.08 = 7.36\[/tex]

Optionally, find the tax plus the whole number.

[tex]92 + 7.36 = 99.36\[/tex]

__________________________________________________________

Ask in comments.

Answer:

9

Step-by-step explanation:

To solve this expression, we need to follow the BODMAS. The BODMAS states that to simplify the expression in the parenthesis first. Then, divide or multiply if possible. Lastly, add or subtract if possible.

The BODMAS states that:

             Expression                                                     BODMAS                  

Therefore, the value of the expression is 9.

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Using the average rate of change, it is found that the average rate is of:

(1) 2.1 °F per minute

It is given by the change in the output divided by the change in the input.

In this problem:

Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:

r = 63/30 = 2.1 °F per minute.

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The true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.

To do this, we simply test the options

We have the following highlights from the table of the metric units of mass:

The above highlights mean that, the true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.

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Answer:

$1440

Step-by-step explanation:

It's kind of obvious, 8 x 180 = 1440

Answer:

? = 14.48

Step-by-step explanation:

This is a right triangle so you can use trigonometry.

since you know the opposite and hypotenuse sides, use sin.

sin(?) = opposite/hypotenuse = 4/16 = 1/4

? = arcsin(1/4)

? = 14.48

Answer:

34^12  - which is approximately 2.386420684^18

Step-by-step explanation:

By the laws of indices:

(34^2)^6

= 34^(2*6)

= 34^12

- which is approximately 2.386420684^18

Answer:

Step-by-step explanation:

Surface Area of Cuboid= 2(6x3)+2(6x10)+2(3x10)=216m²

Surface Area of Sphere= 4πr²

                                       = 4xπx6²

                                       = 144πm²

Surface Area= 144π+216

Answer:

281

Step-by-step explanation:

12*4 rectangle 2  times because theres 2 of the same surfaces

5*4 rectangle 2 times

12*5 rectangle on the bottom surface 1 time

4 triangle surfaces of (5*5)/2

7*5 rectangle on top

add and you get 281

Answer:

Step-by-step explanation:

Answer:

1. Q1 = 5

2.Q2 = 9

3.Q3 = 15

4.D5 = 9

5.D7 = 14.1

6.D8 = 17.4

7.P25 = 4.5

8.P60 = 11.2

9.P75 =  15.75

10.P30  = 5.3

Answer: possible wayways 3 × 4 = 12

If one more drink was added, possibilities will become 3× 5 = 15

Number of possi left ways will increase by 15 - 12 = 3

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

I took the test

The total weight of the dog toys that weighed 1/8 of a pound or 3/8 of a pound is 7/8.

Let we have to add two fractions:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find the Lowest Common Multiple (LCM) of   b_1 and

b_2. That will help to make the denominate or same.

Once the denominators become the same, the numerators can add up directly, giving us the final result of the addition.

According to the line plot;

The total weight of the dog toys that weighed 1/8 of a pound or 3/8 of a pound

= 3/8 + 3/8 + 1/8

=7/8

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Answer:

96 in²

Step-by-step explanation:

I took the test :)

Answer:

96 in² for K12

Answer: B

Step-by-step explanation:

Answer:

Shown division using an area model above, Yes, shown 24 ÷ 4 with one rectangle above. Question 2. Answer: Shown division using an array as shown above, 25 ÷ 4 = Quotient = 6 and Remainder = 1, Shown division using an area model above, Yes, shown 25 ÷ 4 with one rectangle above and showed

Answer:

Harper is 17 and Cadence is 44.

Step-by-step explanation:

First, we can set up an equation to displays the sum of both ages.

Let x = Harper's age and y = Cadence's age

x+y=61

8 years ago, this means the sum will decrease by a total of 16 as we have to subtract 8 from both variables

The equation to represent 8 years ago is: x+y=45

Now we can write another equation to represent Cadence being 4 times older than Harper (8 years ago)

y=4x

We can substitute this back into the equation we had for the ages 8 years ago.

x+(4x) = 45

5x=45

x=9

Now, Harper's age 8 years ago is 9 years old. We add 8 to this number to determine that Harper is currently 17 years old.

We can insert this into the original equation to determine Cadence's age.

17+y=61

y=44

Thus, Cadence is currently 44 years old

From the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

From the given equations, the equation which has no solution has to be found out. When the value, does not equate for the expression, then the expression has no solution.

The first equation given in the problem is,

[tex]6 (x +2) > x-3[/tex]

Solve it further,

[tex]6 x +12 > x-3\\6x-x > -3-12\\5x > -15\\x > -3[/tex]

The second equation given in the problem is,

[tex]3+ 4x \leq 2 (1 +2x)[/tex]

Solve it further,

[tex]3+ 4x \leq 2 +4x\\4x- 4x \leq 2-3\\0\leq-1[/tex]

The value of 0 is greater than the number -1. Thus, this inequality has no solution.

The option 3 and 4 has a solution. Hence, from the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.

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Answer:

9cm and 2cm

Step-by-step explanation:

∴ They're similar triangles.

∴ [tex]\frac{a}{3}[/tex]= [tex]\frac{6}{b}[/tex] = [tex]\frac{3}{1}[/tex]

∴ a = 9cm

∴ b = 2cm

Answer:

x=12

Step-by-step explanation:

ALready, we know that in a right angles, the total sum gives ninety degrees.

  Hence,

 6x-2+20=90

 6x+18=90

  Collect like terms

  6x=90-18

  6x=72

  Divide both sides by the coefficient of x, 6

Therefore, x=12

Answer:

Your right, it's D.

Step-by-step explanation:

Answer:

16.33 km

Step-by-step explanation:

The square length of hypotenuse is equal to the sum of two legs' square value:

|HI|^2 + |JI|^2 = |HJ|^2

|HI|^2 + (24.28)^2 = (29.26)^2

|HI|^2 + 589,5184 = 856,1476 (these are full values and will be easier to calculate with a calculator, if not we can use the approximate values: 589,5 and 856,1)

subtract 589,5184 from both sides

|HI|^2 = 266,5636 find the root of boths sides

HI = 16.33 approximately

The base HI of the right triangle is approximately 16.26 km.

Given is a right triangle with perpendicular JI = 24.28 km and hypotenuse HJ = 29.26 km we need to find the base HI.

To find the base HI of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the base HI as x.

According to the Pythagorean theorem:

HJ² = JI² + HI²

Substituting the given values:

(29.26 km)² = (24.28 km)² + x²

Simplifying the equation:

855.4276 km² = 590.7584 km² + x²

264.6692 km² = x²

To find x, we take the square root of both sides:

x = √(264.6692 km²)

Calculating the value:

x ≈ 16.26 km

Therefore, the base HI of the right triangle is approximately 16.26 km.

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Answer:

use Pythagoras theorem

Step-by-step explanation:

x=7 or X=-24 but for second value of X is not correct since you can not have a negative length for opposite side

therefore take X=7 as the answer

The amount of money that Romania’s imports are worth is equal to: C. $76.17 billion.

Given the following data:

Exports tariff = 6% = 0.06.

Imports tariff = 21% = 0.21.

Trade deficit = $26.76 billion.

Tariff revenue = $18.9603 billion.

In order to determine how much Romania’s imports are worth, we would write a mathematical expression for the total tariff revenue and trade deficit as follows:

0.06E - 0.21I = 18.9603    .....total tariff revenue (eqn. 1).

I - E = 26.76                       .....trade deficit (eqn. 2).

From eqn. 2, we have:

E = I - 26.76     ..equation 3.

Substituting eqn. 3 into eqn. 1, we have:

0.06(I - 26.76) - 0.21I = 18.9603

0.06I - 1.6056 - 0.21I = 18.9603

0.27I = 18.9603 + 1.6056

0.27I = 20.5659

I = 20.5659/0.27

I = $76.17 billion.

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