Joel and Sara want to know the combined amount of money they made last week. They both made $9.75 per hour, but Joel also made an $18 bonus. Joel says the combined amount is 9.75j + 18 + 9.75s, where j is the number of hours he worked, and S is the number of hours Sara worked. Sara says the combined amount is 9.75(j + S)+ 18. Who is correct? Explain.

It's 49 sq. units because of the formula:

Area of triangle = 1/2 base × perpendicular height

Area = 14/2 × 7

Area = 7 × 7

= 49 sq. units

The area of the obtuse triangle is 49 sq. units.

Given:

Find:

Solution:

As we know that the area of an obtuse triangle is equal to 1/2 * base * height.

So, as base and height of the obtuse triangle is given.

Now, we will calculate the area.

Area of the obtuse triangle = 1/2 * base * height

                                          = 1/2 * 14 * 7

                                          = 49 sq. units.

Hence, the area of the obtuse triangle is 49 sq units.

Therefore, Option A is the correct answer.

To learn more about an obtuse triangle, refer to:

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it’s a rational number

Answer: Rational

Step-by-step explanation:

Because it is the square root of 92 therefore it is a decimal number, and thus rational.

Answer:

a. 7(5 + 1/7) = 35 + 1 = 36

b. 5(4 + 7) = 20 + 7

c. 1/7(28 + 84) = 4 + 12 = 16

I hope this helps! :)

Answer:

a. 45 b. 60 c.30 d.90

Step-by-step explanation:

I help you

Answer:

150

Step-by-step explanation:

Answer:

A. 142,410

Step-by-step explanation:

For this purpose we have to find the pattern in previously given information

The given information is:

23000, 27600, 33120, 39744

The given sequence can be assumed as a geometric sequence

The common ratio is:

r = 27600/23000

r = 1.2

Hence the next term is obtained by multiplying with 1.2

So,

Population in:

2018 = 39744*1.2 = 47692.8

2019 = 47692.8 * 1.2 =57231.36

2020 = 57231.36*1.2 =68677.632

2021 =68677.632 * 1.2 = 82413.1584

2022= 82413.1584 * 1.2 =98895.79

2023= 98895.79 * 1.2 = 118674.948

2024 = 118674.948*1.2 = 142409.9376

Since the number of person/ population should be a whole number so,

The population in 2024 will be 142410

So, Option A is correct ..

Answer:

Exact Form:

x = 0, 1/2

Decimal Form:

x =0, 0.5

The most efficient way to solve this problem is isolating the y in the first equation because:

6x + 3y = 27

3y = 27 - 6x

y = 9 - 2x

Since all the numbers have a common factor of 3, it can be easily simplified/reduce.

If you used any other variable, you would have gotten a fraction.

Now that you found y, you can substitute it into the other equation to solve for x.  

ANYWAYS, your answer is A

Answer:

A

Step-by-step explanation:

Jon should solve for y in the first equation because the coefficients can be reduced by a common factor to eliminate the coefficient for y.

Answer:

If the current price of $\$30$ is after a $50\%$ reduction, then the Lux basketball shoes must have been $30 \times 2 = \$60$ before. That $\$60$ price was after a $25\%$ reduction. When $25\%$ of the price is removed, the remaining portion is $75\%$, or $3/4$ of the price, which means the original price must have been $\$60 \times 4/3 = \boxed{\$80}$.

Answer:

45,489.6 pounds!

Step-by-step explanation:

To solve this problem, first we need to find the volume of the pool.

We know that the dimensions of the pool are:

Width = 9ft

Length = 18ft

Height = 54in = 4.5 ft

So the volume of the pool is:

Volume = Width x Length x Height = 9ftx18ftx4.5ft = 729ft^3

We know that one cubic foot of water weights about 62.4 pounds. To fill the  pool, we will need 729ft^3 of water.

So the weight of the water is:

Weight = 729ft^3 x 62.4 pounds/ft = 45,489.6 pounds!

Answer:

23

Step-by-step explanation:

The word decreased indicates the use of subtraction, so to figure out our answer we do the opposite, -1 + 24 = 23, after that we then subtract, 23 - 24 = -1, there for your answer should be 23 - 24 = -1, or more simply the number that has to be decreased to make the statement true is 23

Question: A number decreased by 24 is -1

Answer: 23

Explanation: WORK BACKWARDS...

-1 + 24 = 23

WHEN WE CHECK BACK TO SEE IF THE ANSWER IS CORRECT:

23 - 24 = -1

Answer:

QR = 16 units

Step-by-step explanation:

Given that ΔPQR is right with hypotenuse QR

We can apply Pythagoras' theorem to find QR

QR² = 8² + (8[tex]\sqrt{3}[/tex])²

      = 64 + 192

      = 256

Take the square root of both sides

QR = [tex]\sqrt{256}[/tex] = 16 units

Answer:

Step-by-step explanation:

[tex]-\dfrac{1}{2}(6x-5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=\left(-\dfrac{1}{2}\right)(6x)+\left(-\dfrac{1}{2}\right)(-5)=-3x+2.5[/tex]

Final answer:

The expression equivalent to -1/2 (6x-5) is -3x + 2.5. The distributive property is used to multiply -1/2 with each term inside the parentheses.

Explanation:

The expression equivalent to -1/2 (6x-5) can be found by applying the distributive property of multiplication over addition and subtraction. This property allows us to multiply each term inside the parentheses by -1/2 to achieve the equivalent expression. Therefore, we proceed as follows:

Multiply 6x by -1/2 to get -3x.

Multiply -5 by -1/2 to get 5/2 or 2.5.

Putting it all together, the equivalent expression is -3x + 2.5. When simplifying expressions involving negative exponents or distributing negative factors, it's essential to carefully apply the multiplication to each term separately to avoid errors.

Answer: 20

Explanation: You can multiply 1,200 by 20 to get 24,000 which is the highest you can go until you go over 25,000

Answer:

He would get an adding amount to 20

Its simple, just divide 25,000 (his total amount) bc your trying to find how much cards he can buy with his total amount. This would mean 25,000 divided by 1,200 meaning 20. He would have a few more dollars but it would be enough to get a 21'th card. This mean he is stuck with 20 as his amount of cards.

Answer:

The other base would be 9 centimeters.

Step-by-step explanation:

This is because the formula for the area of a trapezoid is base+the other base/2 x height. if you have two of the three values and the answer all you have to do is put in numbers for the third value until it equals the area you were given.

Step-by-step explanation:

[tex]\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log(xy)=\log(x)+\log(y)\\\\\text{Where}\ x>0\ \text{and}\ y>0.[/tex]

Final answer:

To rewrite the logarithm log(xy), you apply the property that the logarithm of a product is equal to the sum of the logarithms of the individual factors, resulting in log x + log y.

Explanation:

The logarithm you are asked to rewrite is log(xy). According to the properties of logarithms, the logarithm of a product is equal to the sum of the logarithms of the individual factors. This means that log(xy) = log x + log y. This rule is useful for simplifying logarithmic expressions and is a direct consequence of how exponents work.

Another property to remember is that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This is expressed as log(xy) = y × log x.

Remember, both properties are fundamental in working with logarithms and can be applied regardless of the base of the logarithm, whether it's log to the base 10, ln for natural logarithms (to the base e), or any other base.

The volume of an object in relation to its density and mass can be calculated using the equation V=m/d, where V is volume, m is mass, and d is density.

The volume (V) of an object in terms of its density (d) and mass (m) can be calculated by rearranging the equation for density. The density is defined as the ratio of the mass to the volume (d=m/V). To express the volume in terms of mass and density, we need to solve the equation for V, which gives us V=m/d. So, if we know the mass and density of an object, "we can calculate its volume by dividing the mass by the density".

For example, if an object has a mass of 10kg and a density of 2kg/m³, the volume of this object would be 10kg/2kg/m³=5m³.

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Answer:

78.75 cm³

Step-by-step explanation:

Volume = Length × Height × Width

V = 3.5 × 4.5 × 5

V = 78.75 cm³

Answer:

C, A, B, D

Hope This Helps!  Have A Nice Day!!

Number 9 is scalene

Number 10 is equilateral

Sorry I can’t help you on the other two I see.

Answer:

10.8

Step-by-step explanation:

The answer is approx. 10.8 per hour.

If you want to round it up, it would be 11. I prefer you not to round though as this is Money. Money should have decimals included.

Divide 432 and 8. You should get 54. Then, divide by 5 and you will get 10.8. Divide by 5 because you still need the rate even though she worked 4 hours one day

Answer:

A

[tex]2(4x + 2)[/tex]

and

D

[tex]8x + 4[/tex]

Step-by-step explanation:

Because if you simplify the equation theb you get 8x+4 therefore D is equivalent to it. A is also equal to D which make it equivalent to the equation as well.

Answer:

A and D

Explanation:

A. 2 multiply by 4x give 8x and 2 multiply by 2 give 4 so the answer is 8x+4

D. When we expand the bracket, 2 multiply by 3x give 6x and 2 multiply by 2 give 4 and 2 multiply by x give 2x so the answer will be 6x+4+2x and we will gather the like terms so it will be 6x+2x=8x so the final answer is 8x+4

That’s a good question for google haha

well, without a calculator, what you can do is

round each choice to a "metric" value, namely 312.5 use 310, and then you can simply multiply it manually 310*310, which is 96100, well, that's too large, so nope.

don't bother with 323.4 because that's even larger.

likewise, check 239.3 with say 230 * 230, to see if it's close enough.

then check 222.5 with 220*220.

Answer:h ( x ) = 4 ( x - 5 )² - 18

ANSWER

B.

[tex]H(x) = 4 {(x - 5)}^{2} - 18[/tex]

EXPLANATION

The given equation is

[tex]H(x) = 4 {x}^{2} - 16[/tex]

This function is the same as:

[tex]H(x) = 4 {(x - 0)}^{2} - 16[/tex]

This function has its vertex at:

(0,-16).

This function is shifted 5 units to the right and two units down.

The new equation is:

[tex]H(x) = 4 {(x - 0 - 5)}^{2} - 16 - 2[/tex]

Simplify to get:

[tex]H(x) = 4 {(x - 5)}^{2} - 18[/tex]

The correct choice is B.

Answer:

33 pages of text

Step-by-step explanation:

The ratio of the number of pages of text to illustration is given 3:2. This implies that for every 2 pages of illustrations, there are 3 pages of text. Therefore, for 22 pages of illustration we shall have;

(22*3)/2 = 33 pages of text .

Using ratio and proportions this is solved as follows;

[tex]\frac{2}{3}=\frac{22}{x}[/tex]

where x is the corresponding number of pages of text. The next step is to cross multiply and solve for x;

x = (22*3)/2 = 33 as shown above.

Answer:

18. Scalene

19. Quadrilateral

20. option i)

Step-by-step explanation:

18. A triangle whose all the three sides are different is called a scalene Triangle . Where are whose two sides are equal is called an isosceles triangle and whose all the sides are equal is called an equilateral triangle. Here all the sides are of different measurement hence it is a scalene triangle.

19. A polygon containing

3 sides is a triangle

4 sides is Quadrilateral

5 Sides is a Pentagon

6 sides is a Hexagon

8 Sides is Octagon  

Our polygon contains four sides, it is hence a quadrilateral

20.

Option i)

In two congruent figures , the corresponding sides and angles are equal.

corresponding side of  s is side measuring 14 ft and that of t is the side measuring 12 ft

Hence s = 14 and t = 12

corresponding angles of  u is angle measuring 90° and that of r is the angle measuring 90°

Hence ∠u = 90° and ∠r=90°

2 inches

The volume of a rectangular prism is length * width * height.

Substitute in the values to get 8 * 5 * height = 80.

Now, simplify to get 40 * height = 80.

Divide both sides of the equation by 40 to get height = 2.

This means the height of the rectangular prism is 2 inches.

A rectangular prism is a 3-dimensional shape; height, width, length. These three variables, when multiplied, will produce a volume for a rectangular prism. We are given everything we need but the height.

Given:

Volume, V = 80 in3

Length, L = 8in

Width, W = 5in.

Height, H = H in

8 inches * 5 inches * H inches = 80 inches3

40 inches2 * H inches = 80 inches 3

(divide each side by 40 inches2)

H inches = 2 inches.

The rectangular prism is 2 inches tall.

Answer:

Step-by-step explanation:

A quadratic equation:

ax² + bx + c = 0.

A discriminant:

D = b² - 4ac

If D < 0, then the equation has no real solution.

If D = 0, then the equation has one real solution.

If D > 0, then the equation has two real solutions.

Answer:

The answer is 17. I will put the other side in a comment. It took me forever to do this, so someone else has probably answered already.

Answer:

51 feet

Step-by-step explanation:

Let

x -----> the height of a flagpole

we know that

Using proportion

[tex]\frac{6}{10}=\frac{x}{85} \\\\x=6*85/10\\\\x=51\ ft[/tex]

Answer:

The answer is 476.

Step-by-step explanation:

The bottom box has a volume of 350, (10x7x5). The top box has a volume of 126, (3x7x6). Combined, that equals 476.