hector paid $56 for 7 books what is the unit rate

a. Solving for 'd' as the subject of formula gives d = P/64

b. The depth of a submerged object if the pressure is 672 pounds per square foot is 10. 5 feet

A function can be defined as an expression, law or rule that shows the relationship between two variables.

These variables are namely;

Given the function as;

P = 64d

Where;

Now, let's make the variable 'd' the subject of formula

Divide both sides of the equation with the coefficient of the variable 'd' which is 64. This is done so that the variable stands alone.

We have;

P/64 = 64d/64

d = P/ 64

If the pressure, P equals  672 pounds per square foot

Substitute the value of the variable into the formula, we have;

d = P/64

Then,

d = 672/64

Find the quotient

d = 10. 5 feet.

Thus, the value is 10. 5 feet

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Answer:

the answer is c,Yes, because the ratios for each input and output are equivalent.

Step-by-step explanation:

The first one is 6

The second one is  is  y= 6x

Answer:

19 x 23.5 x 4

Step-by-step explanation:

4 * x * (x + 4.5) =1800

Divide both sides by 4

x * (x + 4.5) = 450

Use distributive property

x^2 + 4.5x = 450

Move all terms to one side

x^2 + 4.5x - 450 = 0

Use quadratic formula to solve   a = 1, b = 4.5, c = -450

-4.5 +- \(\sqrt{4.5^2 - 4 * 1 * -450}\)/2

=-4.5 + - \(\sqrt{1820.25}\) / 2

= -4.5 +- 42.664 / 2

=19.08 and -23.582. You can't have a negative length, so it is 19.08, or 19

19 x 23.5 x 4

Answer:

the first step is combining like terms

the second step is the subtraction property of equality

and the last is the answer so I guess given because it's not the others

Answer:

50 square units

Step-by-step explanation:

Using the formula provided, \(a = \frac{1}{2}h(b_1+b_2)\), substituting the height (5), b1 (8) and b2 (12), we can solve for the formula.

\(a = \frac{1}{2}\cdot5(8+12)\\\\a = \frac{1}{2}\cdot5(20)\\\\a = \frac{1}{2}100\\\\a = 50\)

Hope this helped!

Answer:

50 units²

Step-by-step explanation:

The area of a trapezoid can be found using the following formula.

\(A=\frac{1}{2}h(b_{1} +b_{2} )\)

The height of the trapezoid is 5 units. The bases are 8 units and 12 units.

\(h= 5 \\b_{1} = 8\\b_{2} = 12\)

Substitute the values into the formula.

\(A=\frac{1}{2}*5(8+12)\)

Solve inside the parentheses. Add 8 and 12.

8+12=20

\(A=\frac{1}{2}*5(20)\)

Multiply 5 and 20.

5*20= 100

\(A=\frac{1}{2}*100\)

Multiply 1/2 and 100 or divide 100 by 2.

100 * 1/2= 50     or      100/2= 50

\(A= 50\)

Add appropriate units. For this problem, the units are units².

\(A= 50 units^2\)

The area of the trapezoid is 50 square units.

Answer:

Natasha should have multiplied 100 by 2.

Step-by-step explanation:

part/whole = 150/100

(150 * 2)/(100 * 2) = 300/? is correct.

Answer: Natasha should have multiplied 100 by 2.

Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

Answer:

this equation has 1 answer

Step-by-step explanation:

x = 2

Answer:

I'm pretty sure the answer is A or what ever letter that says caleb experiment had 100 and jenna had 250

The capacity of the mug is 7/6 cups.

Given,

A mug is 3/7 full.

The mug contains 1/2 of a cup of water.

Solution:

Let x be the water.

Water the mug has = 3/7 of x

= 3/7x

Since the water in the mug is 1/2 cup,

3/7x = 1/2

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore,

The capacity of the mug is 7/6 cups.

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The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

B

Step-by-step explanation:

Answer: B. Recycling

Step-by-step explanation: Recycling is turning something like newspapers and making them into new products.

Mark Brainliest if you want!

Answer:

x = 4 , ∠ AXC = 150°

Step-by-step explanation:

∠ 1 and ∠ 2 form the angle AXC , that is

∠ AXC = ∠ 1 + ∠ 2 , then

6(6x + 1) = 102 + 10x + 8

36x + 6 = 10x + 110 ( subtract 10x from both sides )

26x + 6 = 110 ( subtract 6 from both sides )

26x = 104 ( divide both sides by 26 )

x = 4

Then by substituting x = 4

∠ AXC = 6(6x + 1) = 36x + 6 = 36(4) + 6 = 144 + 6 = 150°

Answer:the answer is 21 with np repeats

Step-by-step explanation:

Based on the net present value profile, Project H has a higher NPV than Project E.

To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:

Project E:

Initial investment: -$100,000

Cash flows for Year 1: $40,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $60,000

Project H:

Initial investment: -$120,000

Cash flows for Year 1: $60,000

Cash flows for Year 2: $50,000

Cash flows for Year 3: $40,000

To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.

Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:

For Project E:

PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3

PV = $36,363.64 + $41,322.31 + $45,454.55

PV = $123,140.50

For Project H:

PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3

PV = $54,545.45 + $41,322.31 + $30,251.14

PV = $126,118.90

Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.

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The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

We know that the method to find the axis of the symmetry of the parabola is given by:

x = - b / 2 a

We have the general equation of the parabola as:

y = a x² + b x + c

We have the equation of the parabola as:

y = - 4 x² + 24 x - 35

Comparing from this equation, we get that:

a = - 4

b = 24

c = - 35

Now, substituting the values, we get that:

x = - 24 / 2 (- 4)

x = - 24 / - 8

x = 24 / 8

x = 3

Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

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Answer:

12

Step-by-step explanation:

4 divided by 1 third is 12

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer:

???

Step-by-step explanation:

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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The value of x that satisfies the given statement is 5.

The given statement can be written as an equation:

The excess of 15 over x is 10

15 - x = 10

To solve for x, we can isolate the variable on one side of the equation. Adding x to both sides, we get:

15 - x + x = 10 + x

Simplifying the left side, the x terms cancel out:

15 = 10 + x

Subtracting 10 from both sides, we get:

15 - 10 = x

Simplifying the left side, we get:

5 = x

x = 5

Therefore, the value of x is 5.

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Answer: Please provide the triangle

From the properties of circle and chord ,

The angle RSQ is 90 deg.

The angle RQS is 20 deg.

In the triangle , the sum of the angles of the triangle is 180 deg.

The correct option is D.

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

Answer with step-by-step explanation:

First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.

2x ÷ x - 1 = 1

Same thing: x/x = 1. Subtract 1 from 1, which is 0.

x ÷ x - 1 = 0

1 + 0 = 1

Hope this helped!

Answer:

Solve for n

n=log5  (− 2 /y  −20x−5),y<−40x−10

Step-by-step explanation:

The measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

An angle is a figure in plane geοmetry that is created by twο rays οr lines that have a shared endpοint. The twο rays are termed the sides οf an angle, and the cοmmοn terminatiοn is called the vertex. Angles are typically expressed as degrees. A "prοtractοr" is a crucial geοmetrical instrument that aids in measuring angles in degrees. Twο sets οf numbers οn a prοtractοr are οriented in οppοsitiοn tο οne anοther. On the οutside rim, οne set gοes frοm 0 tο 180 degrees, while οn the inner rim, the οther set gοes frοm 180 tο 0 degrees.

Let the angle be x.

Twο angles are cοmplementary when their sum is 90°.

Tοw angles are supplementary when their sum is 180°

If x is οne angle, then its cοmplementary angle is (90-x)°

Given x is 4 mοre than twice its cοmplement.

We can write the equatiοn as:

x = 4 + 2*(90-x)

Sοlving,

x = 4 + 180 - 2x

3x = 184

x = 61.33°

Nοw we are asked tο find the supplementary angle οf x.

Supplementary angle = 180 - x = 180 - 61.33 = 118.67°

Therefοre the measure οf the supplementary angle οf x = 61.33° is fοund tο be 118.67°.

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