Pat bounces a basketball 25 times in 30 seconds.At that rate, approximately how many times a will Pat bounce the ball in 150 seconds?

A. 120

B.125

C.144

D.145

Answer:

3. 3/4

hope this helps

The expression 12 - (33/4) is equal to 15/4.

To express 12 - (33/4) as a fraction, we need to find a common denominator for the subtraction. The common denominator should be a multiple of 4, which is the denominator of (33/4).

We can rewrite 12 as an equivalent fraction with a denominator of 4:

12 = 48/4.

Now, we can rewrite the expression as:

48/4 - 33/4.

Since the denominators are the same, we can subtract the numerators directly:

(48 - 33) / 4 = 15/4.

Therefore, 12 - (33/4) is equal to 15/4.

In fraction form, the result is 15/4. This means that when we subtract 33/4 from 12, the answer can be represented as the fraction 15/4.

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Answer:

x= 4 and y=1

Step-by-step explanation:

to solve this you could either use substitution or elimination. elimination would be best her because both 'x's have the same number. subtract the equations from eahh other and solve for y, then substitute the y and solve for x

The system of equations are solved and x = -4 and y = 1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To solve the system of equations:

5x + y = -19 (Equation 1)

5x - 4y = -24 (Equation 2)

Let's use the elimination method in this case.

Step 1: Multiply Equation 1 by 4 and Equation 2 by 1 to eliminate y.

4(5x + y) = 4(-19)

5x - 4y = -24

20x + 4y = -76 (Equation 1 multiplied by 4)

5x - 4y = -24 (Equation 2 multiplied by 1)

Step 2: Add the equations together to eliminate y.

20x + 4y + 5x - 4y = -76 - 24

25x = -100

x = -100 / 25

x = -4

Step 3: Substitute the value of x into either Equation 1 or Equation 2 to solve for y.

5(-4) + y = -19 (Using Equation 1)

-20 + y = -19

y = -19 + 20

y = 1

Hence , the solution to the system of equations is x = -4 and y = 1

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Answer:

[tex]\boxed {\boxed {\sf v= 2463.0 \ yd^3}}[/tex]

Step-by-step explanation:

The volume of a cylinder is found using the following formula:

[tex]v= \pi r^2h[/tex]

The height of the cylinder is 16 yards and the radius is 7 yards. Let's use the pi button on a calculator for pi. Substitute these values into the formula.

[tex]v= \pi* (7 \ yd)^2 * 16 \ yd[/tex]

Solve the exponent.

[tex]v= \pi * 49 \ yd^2 *16 \ yd[/tex]

Multiply the three numbers together.

[tex]v= \pi *784 \ yd^3\\v=2463.00864041 \ yd ^3[/tex]

Round to the nearest tenth.

The 0 in the hundredth place tells us to leave the 0 in the tenth place.

[tex]v= 2463.0 \ yd^3[/tex]

The volume of the cylinder is 2463.0 cubic yards.

Answer:

$49 is spended by him.

solution given:

rate=for $10.50 per half yard=$10.50/0.5=$21 per yard

area=2 1/3=7/3yards

now

total cost =rate× area =$21×7/3=$49

Answer:

Option C

Option D

Step-by-step explanation:

We have to calculate each expression to find for which one is the solution is x=25.

A)

[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]

B)

[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]

C)

[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]

D)

[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

E)

[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]

The solution of the equation x³ = 16 will be;

⇒ x = 2.519

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x³ = 16

Now,

Since, The equation is,

⇒ x³ = 16

Solve for x as;

⇒ x = ∛ 16

⇒ x = 2.519

Thus, The solution of the equation is,

⇒ x = 2.519

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Answer:

(-1)- (-1/2)= -0.5

Step-by-step explanation

-0.5 = to -2/4 in fraction

-0.5 in a fraction equals -2/4

and heyo

Answer:

15 feet squared

Step-by-step explanation:

Area = 6 x 5 x 1/2

Area = 30 x 1/2

Area = 15

Hope that helps!

Answer:

Go on your app store on your phone

Step-by-step explanation:

Download photo math and it will answer all that, check my previous answers if you don't believe me. I'm telling the truth

Answer:

D

Step-by-step explanation:

Answer:

[tex]\sqrt{90}[/tex]

Step-by-step explanation:

Please see the attached image. Using the coordinates of two points, you can find the distance between them using this formula.

[tex]d=\sqrt{(-2-7)^{2}+(-1-(-4)^{2} } =\sqrt{(-9)^{2} +3^{2} } =\sqrt{81+9} =\sqrt{90}[/tex]

Mono (1) nomial == 1 term.

11x^2 is 1 term in combination so B is your answer.

D. is not, its a binomial along with C. and A.

Answer:

25%

Step-by-step explanation:

125 - 100 = 25

25 / 100 = 0.25

0.25 * 100 = 25%

Step-by-step explanation:

Let the remaining angle be z.

45+z=90

z=90-45

z=45

y=9(isoceles triangle)

Then,

By pythagoras theorem,

x=9root2

Answer:

The right solution is "$ 60,887.28". A further explanation is provided below.

Step-by-step explanation:

The given values are:

Sticker price,

= $63,000

Dealer cost,

= $56,904

Offer,

= 7%

Now,

The 7% dealer cost will be:

= [tex]\frac{7}{100}\times 56,904[/tex]

= [tex]3,983.28[/tex] ($)

hence,

Amount offered will be:

= [tex]56,904+3,983.28[/tex]

= [tex]60,887.28[/tex] ($)

Answer:

30 degrees ; 150 degrees

Step-by-step explanation:

1) rememeber that two supplementary angles have their sum equals to 180 degrees

2) write an equation with the given information

x + 5x = 180

2) solve the equation

- added up the terms with x

6x = 180

- divide the two members by 6

x = 30

- find the second angle by multiplying 30 by 5

150

Answer:

12x² + 17x - 5

Step-by-step explanation:

Given

(3x + 5)(4x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x - 1) + 5(4x - 1) ← distribute parenthesis

= 12x² - 3x + 20x - 5 ← collect like terms

= 12x² + 17x - 5

Answer:

the correct answer is -6

Answer:

[tex]80^{\circ} C[/tex]

Step-by-step explanation:

You are making rusks and have to dry them overnight at a temperature of 176° F.

The given temperature is in Fahrenheit. We need to convert it into °C.

The relation between Fahrenheit and  °C is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex]

Put F = 176

So,

[tex]C=\dfrac{5}{9}(176-32)\\\\C=\dfrac{5}{9}\times 144\\\\C=80^{\circ} C[/tex]

So, the temperature is equal to [tex]80^{\circ} C[/tex].

Answer:

I need a picture of the problem to be able to solve it.

Step-by-step explanation:

Answer:

$5.53 i think

Step-by-step explanation:

30% = 0.3

0.3 x 4.25 = 1.275

1.275 + 4.25  ≈ 5.53

Answer:

5.25

Step-by-step explanation:

Answer:

=225

Step-by-step explanation:

The value of x² - 2xy + y² would be; 225

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

we are given that (x-y)=15

The identity (x + y)² - (x - y)² = 4xy.

(x + y)²= (x² + 2xy + y²)

we have been asked to find x² - 2xy + y²

x² - 2xy + y² = (x - y)²

x² - 2xy + y² = 15²

x² - 2xy + y² = 225

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Answer:

(72.5,87.5)

Step-by-step explanation:

The interval of times that represents the middle 99.7% of his finishing times in the 400 meter race is; (73.5, 87.5)

We are given;

Mean; E(X) = μ = 80 seconds

Standard Deviation; σ = 2.5

From the empirical rule, the probability of obtaining values within one deviation from the mean is 0.68; within two deviations is 0.95 and within 3 deviations from the mean is 0.997.

We have 99.7 % of the values within 3 deviations from the mean in our question and so the intervals are;

μ - 3σ = 80 - 3(2.5) = 73.5

μ + 3σ = 80 + 3(2.5) = 87.5

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Answer:

C, $60

Step-by-step explanation:

It is where the graph starts even with 0 minutes.

Answer:

(B) $152.50

Step-by-step explanation:

Friday: 5 hours x $7.50 per hour = $37.50

Saturday: 6 hours x $7.50 per hour = $45

Sunday: 4 hours x $7.50 per hour = $30

$40 + $37.50 + $45 + $30 = $152.50

I would have (B) $152.50 in total.

Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15

15 × 3 = 45

15 × 5 = 75

_________________________________

Answer:

15:75

Step-by-step explanation:

120 = 3x plus 5x

120 = 8x

120/8 = x

x = 15

3*15 = 45 and 5*15 = 75

Answer:

35 - 4x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

35−4x=3

35+−4x=3

−4x+35=3

Step 2: Subtract 35 from both sides.

−4x+35−35=3−35

−4x=−32

Step 3: Divide both sides by -4.

-4x/−4  =  −32/ −4

x=8

Answer:

8 friends

Step-by-step explanation:

4 doesn't go evenly to 9 ppl so it would be 8 friends and 3 extra pieces