Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $65 to come to his house and $55 for every hour they work. If the plumber charges Jerald a total of $296, how many hours did the plumber work? Write and solve an equation to determine the number of hours worked by the plumber.

A 55x − 65 = 296; x = 6.6 hours
B 55x + 65 = 296; x = 4.2 hours
C 65x − 55 = 296; x = 5.4 hours
D 65x + 55 = 296; x = 3.7 hours

Answer:

There are several steps to this problem, but they are easy steps .  First, determine how many ounces are in one recipe by adding all the ounces of the ingredients together:  8 + 5 + 2 + 3 = 18.

Now multiply that amount by 4, because she made 4 batches:  

18 x 4 = 72

Finally, divide the total amount by 3, because she put it in three bags.  72/3 = 24

Answer:

4h40min

Step-by-step explanation:

necklaces she made

=$59.50/$4.25

=14necklaces

time spent making 14 necklaces

=14x20min

=280min

=4h40min

Answer:

280minutes or 4hours 40minutes

Step-by-step explanation:

Number of necklaces:

$59.50 ÷ $4.25 = 14

Time taken:

14 × 20minutes = 280minutes

An equivalent expression without negative exponents of 9^-2 is 1/9²

In this question, we have been given an expression 9^-2

We need to write equivalent expression without negative exponents of 9^-2.

We know that for any number x, the multiplicative inverse of x is represented as x^-1 which is equal to 1/x

We can write 9^-2 as,

9^-2

= 9^(2 × -1)

= (9²)^-1

= 1/9²

Therefore, an equivalent expression without negative exponents of 9^-2 is 1/9²

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Answer:

Step-by-step explanation:

You want the transformation rule that describes the translation from R(5, 0) to R'(1, 3).

The difference between R' and R is ...

  R' -R = (1, 3) -(5, 0) = (1-5, 3-0) = (-4, 3)

The difference between the point (x, y) and the translated point (a, b) is ...

  (a, b) -(x, y) = (a -x, b -y)

These differences are equal, so we have ...

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Answer:

p = 6

Step-by-step explanation:

Define the variable

Let p be the number of people who go to the amusement park.

Given information:

Therefore, the equation that represents the given information and the defined variable is:

[tex]39.25p + 12 \leq 247.50[/tex]

(We have used the inequality sign since the question states the maximum amount of money the group of friends have to spend).

To solve, subtract 12 from both sides:

[tex]\implies 39.25p + 12 - 12 \leq 247.50 - 12[/tex]

[tex]\implies 39.25p \leq 235.50[/tex]

Divide both sides by 39.25:

[tex]\implies \dfrac{39.25p}{39.25} \leq \dfrac{235.50}{39.25}[/tex]

[tex]\implies p\leq 6[/tex]

Therefore, the maximum number of people that can go to the amusement park is 6.

The unknown angle of the right triangle is as follows:

∠CBA = 28.8°

The triangle is a right triangle because one of its angle is equals to 90 degrees.

The angle  ∠CBA, can be found using trigonometric rations,

hence,

tan ∅ = opposite / adjacent

where

∅ = ∠CBA

Therefore,

tan ∠CBA = opposite / adjacent

opposite side = 5.6 m

adjacent side = 10.2 m

Hence,

tan ∠CBA = 5.6 / 10.2

tan ∠CBA = 0.54901960784

tan ∠CBA = 0.54901960784

∠CBA = tan⁻¹ 0.54901960784

∠CBA = 28.7676493388

∠CBA = 28.8°

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Using proportions, it is found that the height of the object is of 12 m, hence you can use a ladder that reaches height of up to 13 m to climb the object.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For similar triangles, equivalent side lengths are proportional, hence, in this problem, we have that:

h/1.5 = 8.8/1.1

h/1.5 = 8

h = 8 x 1.5

h = 12m.

The height of the object is of 12 m, hence you can use a ladder that reaches height of up to 13 m to climb the object.

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Answer:

y = -2/7x + 2

Step-by-step explanation:

y=mx + b is the slope intercept form of a line.  The b is the y-intercept.  We are given that.  The point (0,2) tells us that the line crosses the y intercept at 2.

Now we have to find the slope.  The slope is the change in y over the change in y.  Given the points (7,0) and (0,2)  The y's are 2 and 0 and the x's are 0 and 7.  Subtract the y's and subtract the x's.

[tex]\frac{2 - 0}{0 - 7}[/tex] = [tex]\frac{-2}{7}[/tex]

Now we can put in the slope and the y-ntercept

y = mx + b

y = [tex]\frac{-2}{7}[/tex]x + 2

by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.

We are given that:

A map of the city has a scale of 1 inch to 2,000 feet.

This means that 1 inch of the map represents the 2,000 feet of the actual area of the city.

Now, we are given another map which has a scale of 1 inch to 1,500 feet.

This means that 1 inch of the map represents the 1,500 feet of the actual area of the city.

So, by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller as it includes more area in a single inch.

Therefore. by comparing the two maps, we get that, the map with the scale of 1 inch to 2,000 feet is smaller than the map of scale of 1 inch to 1,500 feet as it includes more area in a single inch.

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Answer:

9×9=81

4×4×4×4×4= 1024

4×4×4×4×4×4×4=65536

7×7×7=343

9³=729

10∧5=100000

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Function (D) f(x) = |x| is even.

To find which functions are even:

We are aware that a function is even when f(x) = f(-x).

(A)

[tex]$$\begin{aligned}&\text f(x)=x^{4-x^2} \\&f(-x)=(-x)^{4-x^2} \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(B)

[tex]$$\begin{aligned}& f(x)=x^2-3 x+2 \\&f(-x)=x^2+3 x+2 \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(C)

[tex]$$\begin{aligned}&\text f(x)=\sqrt{x-2} \\&f(-x)=\sqrt{-x-2} \\&f(x) \neq f(-x)\end{aligned}$$[/tex]

So, the function is not even.

(D)

[tex]f(x)=|x|\\f(-x)=|-x|=|x|=f(x)[/tex]

So, the function is even.

Therefore, function (D) f(x) = |x| is even.

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The complete question is given below:

Which functions are even? Check all of the boxes that apply.

a. F (x) = x Superscript 4 Baseline minus x squared

b. f (x) = x squared minus 3 x + 2

c. f (x) = StartRoot (x minus 2) EndRoot

d. f(x) = |x|

Answer:

2y ( 2x + 9ry)

Step-by-step explanation:

A.) Find the greatest common factor and factor out:

(2y x 2x) + (2y x 9ry) = 2y ( 2x + 9ry )

or

B.) Expand each expression:

4xy = ( 2 x 2 x X x y )

18ry^2 = ( 2 x 3 x 3 x r x y x y )

( 2 x 2 x X x y ) + ( 2 x 3 x 3 x r x y x y )

Then, take out like terms and put the expanded factors back together:

2y ( 2 x X + 3 x 3 x r x y ) = 2y ( 2x + 9ry )

Hope this helps!

According to the graph, The value of f(5) from the graph of f(x) is 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

From the graph of f(x), the point C(5, 1) represent the point f(5). The value of f(5) from the graph of f(x) is 1.

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Answer:

x=3

Step-by-step explanation:

The answer to the expression is 8.246

A square root can be described as a factor of  a number that when multiplied twice gives the original number.

The first step is to write out the expression

m² = 68

Take the square root of both sides

√m² = √68

m= 8.246

Hence the value of m in the expression is 8.246

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Answer:

12.

Step-by-step explanation:

I attached my answerrrrr

Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

For given question,

Alita received twenty-two dollars, seven quarters, and five dimes as change at the grocery store.

The value of coins is all counted in cents.

1 Penny = 1 cent  

1 Nickel = 5 cents  

1 Dime = 10 cents  

1 Quarter = 25 cents

And 1 Dollar = 100 cents

Alita received seven quarters, and five dimes coins as change at the grocery store.

seven quarters = (7 × 25) cents

                         = 175 cents

five dimes =  (5 × 10) cents

                 = 50 cents

The total coins are:

seven quarters, and five dimes

= 175 + 50 cents

= 225 cents

Now we add all change together.

twenty-two dollars, seven quarters, and five dimes

= 22 dollars + 225 cents

= 22 dollars + 2.25 dollars

= 24.25 dollars

= $24.25

Therefore, Alita received 24 dollars and 25 cents ($24.25) as change at the grocery store.

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Answer:

62º

Step-by-step explanation:

So this is supplementary angles. Supplementary angles are two or more angles that add up to 180º. This is also vertical angles. Vertical angles are angles across from one another that are congruent(such as the 180º angle and the one up and to the right of it). So if vertical angles are congruent that means that the angle to the right of x is also 118º. And since it is a supplementary angle this is now simple subtraction.

180-118=62.

Hope I could help!

Answer:

Step-by-step explanation:

Find the value of x:

here's your answer check if it's right or not

The time taken to reach the bottom when the person skies down will be 22.5 seconds.

It should be noted that the person is skiing down a 1,350 meter ski slope at 60 meters per second.

There, t represent your skiing time in seconds.

The appropriate expression to illustrate the scenario will be:

1350 - 60t = 0

Therefore, 60t = 1350

t = 1350/60

t = 22.5

The time taken to each the bottom will be 22.5 seconds.

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If angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

Given that m∠SOP=(7y-12)° and m∠SOR=(5y+12)°.

We are required to find the value of y and the angle m∠SOP.

We know that sum of all the angles which lie on the straight line is equal to 180°.

And here m∠SOP and m∠SOR both lie on the straight line PR. So,

m∠SOP+m∠SOR=180

7y-12+5y+12=180

12y=180

y=180/12

y=15

We have to use y=15 in m∠SOP=(7y-12)°.

m∠SOP=7*15-12

=105-12

=93°

Hence if angle m∠SOP=(7y-12)° and m∠SOR=(5y+12)°, then the value of y=15 and m∠SOP is equal to 93°.

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Answer:

Second choice: Student failed to square the x part

Step-by-step explanation:

x - 2y = 6 - 2.3 = 0 so that is the only plausible explanation

Answer: The student  failed to square the x² part. This led to calculating x² as six instead 36

(3, 0) is the x-intercept

The x-intercept is the value of x when the value of the function is equal to zero.

That is the function is equal to 0.

When x = 3

f(x) = 0

Therefore the x-intercept is the point (3,0)

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Answer:

5) acute

6)acute

7)reflex

8)reflex

Step-by-step explanation:

No 6&5 are acute because they are each less than 90 degrees while no7&8 are reflex because they exceed 180 degrees.

Answer:

300 ones

Step-by-step explanation:

300 one = 300 of 1 = 300

The other answers are wrong

30 ones = 30 of 1 = 30

3 tens = 3 of 10 = 30

300 tens = 300 of 10 = 3000

If a circle with a radius 3x is inscribed in a square, then the difference between the area of the square and the area of the circle is [tex]9x^{2} (4-\pi )[/tex]

Given,

The radius of the circle = 3x

The area of the circle = [tex]\pi r^{2}[/tex]
Where r is the radius of the circle

Substitute the values in the equation

Area of the circle = [tex]\pi (3x)^{2}[/tex]

=[tex]9x^{2} \pi[/tex]

We know when a circle is inscribed in a square the diameter of the circle is equal to the side of the square

Diameter of the circle = 2× radius

=2×3x

=6x

The area of the square = [tex]a^{2}[/tex]

Where a is the side of the square

Area of the square = [tex](6x)^{2}[/tex]

=[tex]36x^{2}[/tex]

The difference between the area of the square and the area of the circle= Area of the square - Area of the circle

[tex]=36x^{2} -9x^{2} \pi \\=9x^{2} (4-\pi )[/tex]

Hence, if a circle with a radius 3x is inscribed in a square, then the difference between the area of the square and the area of the circle is [tex]9x^{2} (4-\pi )[/tex]

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12,0$+3,0$=15,0$ its korrect now

The absolute value inequality graphed is:

y ≥ |x - 5| + 1

We can see that we have an absolute value equation, and the region above the graph is shaded, so we have:

y ≥ absolute value equation

We can see that the slope of the absolute value equation is 1, and the vertex is (5, 1), then the equation is:

|x - 5| + 1

Replacing that in the inequality we will get:

y ≥ |x - 5| + 1

That is the graphed inequality.

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