Josh works as a tutor for $15 an hour and as a waiter for $13 an hour. This month, he worked a combined total of 95 hours at his two jobs.
Lett be the number of hours Josh worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
total earned (in dollars)

Answer:

22

Step-by-step explanation:

= 7 − (−15)

= 7 + 15

= 22

Answer:

1 inch: 10 yards

Step-by-step explanation:

170/17 = 10

Divide the actual scale by the drawn scale to find how many yards is represented by an inch.

We can find the QS side that is missing by using the proportions (C) QS/SR = PO/OR.

So, a proportion that is used to determine the QS's missing side

(A) QS/OR = PO/SR

(B) PR/PO = QS/QR

(C) QS/SR = PO/OR

Therefore, we can find the QS side that is missing by using the proportions (C) QS/SR = PO/OR.

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Given data:

Rate of decrease: 2.5 inches per hour

After 1.5 hours the candle is 11.5 in long

Let x be the number of hours

Let y be the length of the cangle remaining

Linear equation:

Use given data to find b: After 1.5 hours the candle is 11.5 in long

x=1.5

y=11.5

a. Formula:

b. The formula describes the remaining length (y) using two terms:

-2.5x: first term, this term includes the slope or rate of change (-2.5) and the variable (x)

15.25: second term it the initial lengh of the candle

c.

i. Evaluate the formula for x=3

After 3 hours burned the length of the candle is 7.75 inches

ii. Evaluate the formula for x=5

After 5 hours burned the length of the candle is 2.75inches

The equivalent multiplication expression using the multiplicative inverse of 8 is 16 x ¹/₈ or 16 x 8⁻¹.

The multiplicative inverse is the reciprocal of a number.

The multiplicative inverse can be used to replace the division operation.

It is a simpler way that supplies the equivalent multiplication result in place of the division operation.

Check:

16÷8 = 2

Similarly, 16 x ¹/₈ = 2

Thus, instead of 16÷8, we can also use the multiplication inverse of 8 which is 16 x ¹/₈.

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After determining the x and y axis, we get the x and y intercepts as 1.5 and -2.

Given the equation is -8x-6y=12

-6y=8x+12

y=-8x/6+12/6

y=-4x/3+2

To determine x intercept, set y=0

-4x/3+2=0

Multiply both sides of the equation by the common denominator.

-4x×3/3 + 2×3 = 0×3

Reduce the fraction.

-4x+6=0

Rearrange the variables to the left side of the equation.

-4x=-6

cancel - sign.

4x=6

x=6/4

x=3/2

Now, to determine y intercept, set x=0

-8x-6y=12

-8(0)-6y=12

-6y=12

y = -12/6

y = -2

Hence the x and y intercepts are 1.5 and -2 respectively.

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SOLUTION:

To get the value of the stock at the close of business on Friday, we get the initial value and add the whole daily changes to it;

Therefore, on the close of business on Friday, the stock was worth $49

Step-by-step explanation:

can you show me the format to get the answer to m/3 +4=7​

we have

solve for m

that means

isolate the variable m

so

step 1

subtract 4 both sides

step 2

multiply by 3 both sides

therefore

the answer is

is equal to

m/3 +4-4=7-4

is equal to

m/3=3

is given

is given

Let

n------> number of hours

y -----> the total charge

Remember that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem

y=mn+b

where

m=$25 per hour

b=$50

so

y=25n+50

For y=$125

Find out the number of hours

substitute the value of y in the equation and solve for n

125=25n+50

25n=125-50

25n=75

n=3 hours

therefore

the answers are

the total charge's equation is (25n+50)

the number of hours are 3

Answer:

y = 4/3x + 1

Hope this helps :)

Step-by-step explanation:

The slope-intercept form is y = mx + b.

m = the slope which is 4/3

b = the y-intercept which is 1

So to substitute the numbers in, the final equation would be y = 4/3x + 1

The length of the marked portion of line segment A is 25, B is 45 and C is 30.

What is line segment?

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie inside those endpoints. The distance between two ends of a line segment is its length. Half-open line segments contain exactly one of the endpoints while other end point is open, while closed line segments have both the endpoints closed. Open line segments do not contain any of the endpoints.

Calculation of line segment A,

75 ÷ 3 = 25

25 × 1 = 25

Therefore, the length of the marked portion of line segment A is 25

Calculation of line segment B,

75 ÷ 5 = 15

15 × 3 = 45

Therefore, the length of the marked portion of line segment B is 45

Calculation of line segment C,

50 ÷ 5 = 10

10 × 3 = 30

Therefore, the length of the marked portion of line segment C is 30

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Answer:

a. (2, 5)

b. 0

Step-by-step explanation:

The function is y = f(x)

If we plug in a value for x, we should get a value for y and that (x, y) will be a point

a. We have x = 2 and y = f(2) = 5
So x = 2, y = 5 is a point otherwise written as (2, 5)

b. If y = 0, when x = 5 then f(5) = 0

Fraction, A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Blue t-shirts that are on sale and are in the medium size make up 1/8 of the speakers in the store.

Let T represent the quantity of T-shirts in the store.

In a store selling t-shirts, blue dominates by three to one.

3/5 of the blue T-shirts were worn.

These blue t-shirts, 5/8 of them, are on sale.

The amount of blue T-shirts for sale is equal to 5/8 × 3/5 T, or 3/8 T.

The majority of the blue t-shirts for sale are size medium,

The number of medium-sized blue t-shirts available for purchase is equal to 1/3 × 3/8 T = 1/8 T.

Blue t-shirts in size medium that are on sale make up 1/8 of the store's speakers.

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First, we need to know the total hours from 9 pm to 6:36 am.

We have that from 9:00 pm to 6:00 am are 9 hours. We still have 36 minutes.

And

Then, the total hours are 9.6 hours.

The water level decreased by 6/35 in. Then:

Then, the level decreased approximately 0.01786 in/hour at that period of time (the water level decreased at a constant rate).

Answer:

first option

Step-by-step explanation:

[tex] {x}^{2} - 12x + 4y + 24 = 0[/tex]

[tex] {x}^{2} - 12x + 24 = - 4y[/tex]

[tex] - \frac{ {x}^{2} }{4} + 3x - 6 = y[/tex]

Now, we can find the domain and range, the easiest way first is to put this in vertex form

First, find the x coordinate of the vertex using

-b/2a,

[tex] \frac{ - 3}{2(( - 0.25))} = 6[/tex]

Now, plug in 6 into the original equation to obtain the y value of the vertex

[tex] - \frac{6 {}^{2} }{4} + 3(6) - 6 = - 9 + 18 - 6 = 3[/tex]

So our vertex is (6,3).

Next , we put this in vertex form.

[tex]a(x - h) {}^{2} + k[/tex]

where (h,k) is the vertex

and a is the leading coefficient

so our quadratic in vertex form is

[tex] - \frac{1}{4} (x - 6) {}^{2} + 3[/tex]

Part 3: Domain and Range.

The domain of any quadratic(unless we are doing a real world example with a variable that can not be negative like time, objects,etc) is always all real numbers.

So the domain is (-oo,oo)

Since our a is negative, the range of our parabola is (-oo,3]

The correct answer is the first option

Answer:

b = 56

Step-by-step explanation:

Answer:B =46

Step-by-step explanation:

The value of x in the equation (x - 2)/3 + 1/6 = 5/6 is: x = 4

To solve a given equation, find the value of the variable in the equation by isolating the variable to one side using the necessary properties of equality.

Given the equation, (x - 2)/3 + 1/6 = 5/6:

(x - 2)/3 + 1/6 = 5/6

Subtract both sides by 1/6:

(x - 2)/3 + 1/6 - 1/6 = 5/6 - 1/6 (subtraction property of equality)

(x - 2)/3 = 4/6

Multiply both sides by 3:

(x - 2)/3 × 3 = 4/6 × 3 (multiplication property of equality)

x - 2 = 2

Add both sides by 2:

x - 2 + 2 = 2 + 2 (addition property of equality)

x = 4

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We are given the following quadratic function:

To determine the range we need first to determine the vertex of the quadratic function. To do that, since we have an equation of the form:

The x-coordinate of the vertex is given by:

Replacing we get:

Solving we get:

The y-coordinate of the vertex is found by replacing this value in the quadratic equation:

Now, since the term "a" is a positive number the parabola opens upwards, and the range is the values of "y" that are larger than the y-coordinate of the vertex, that is:

The value of the exponents in simple exponential form is [tex]x^{\frac{44}{5}}[/tex] .

The mathematical operation of exponentiation, written as bⁿ, involves the base number (b) and the exponent (or power) number (n). The way to say this word is "b (elevated) to the (power of) n."

The properties of exponents tell us that when the bases are equal then on multiplication the powers are added and on division the powers are subtracted.

[tex]\sqrt[5]{5^y} \cdot(5^4)^3 = 5^{\frac{y+60}{5} }[/tex]

[tex]\sqrt[5]{5^x} \cdot(5^4)^3 = 5^{\frac{x+60}{5} }[/tex]

Therefore the properties of exponents can be used to find the exponential solutions.

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With the function given as y = |x|, and the value of x on the graph is -5, when translated it becomes

Because when x = -5, then y + 3 = 0 (that is, y = -3)

Consider that the exponential function can be written as follow:

f(x) = a

Answer:

114

Step-by-step explanation:

Using the explicitly formula for an arithmetic sequence, the nth term is 4n-106.

Thus, the 55th term is 55(4)-106 = 114.

The most appropriate choice for proportion will be given by -

the constant of proportionality is 0.05

What is proportionality?

Suppose there are two quantities. Proportion indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio

Proportion can be direct or inverse

Direct proportion

Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.

For example cost of a commodity and quantity of a commodity are in direct proportion

Inverse proportion

Two quantities are said to be in inverse proportion if on increasing the value of one quantity, the value of other quantity decreases and vice versa.

For example Number of men and number of days taken by those men to complete a job.

Here,

Distance from home is not proportional to time

Distance of school from home = 2 miles

For distance from school = 2 - 1.5 = 0.5 miles, time taken is 10 min

For distance from school = 2 - 1 = 1 mile, time taken is 20 min

For distance from school = 2 - 0.5 = 1.5 miles, time taken is 30 min

Let [tex]d = k \times t[/tex], where k is the constant of proportionality.

Putting d = 0.5, t = 10,

[tex]0.5 = k\times 10\\k = \frac{0.5}{10}[/tex]

k = 0.05

Putting d = 1, t = 20,

[tex]1 = k\times 20\\k = \frac{1}{20}[/tex]

k = 0.05

Putting d = 1.5, t = 30,

[tex]1.5 = k\times 10\\k = \frac{0.5}{30}[/tex]

k = 0.05

So the constant of proportionality is 0.05

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ANSWER

Loss of $1000

EXPLANATION

Cost is $50000

The less accumulated depreciation is $45000

Hence, the book value on data on sale;

Gain or loss on sale = Sale value - Book value;

Therefore a loss

Notice that when x = -1, f(x) = -1, and if x = 0, then f(x) = 2.

As we can see, the values of f(x) change from negative to positive between -1 and 0. This means that between the interval -1 < x < 0, we can find f(x) = 0

We will have the following:

We know Pepe earned a total of 68 points, 47 of which were earned by one point certificates. That means that 68-47=21 points were earned by 3 points certificates.

Therefore he earned 21/3=7 three point certificates.

Attach shows the scores of students in an exam

Hence the correct answer = 18% Option A

The relationship between Sam’s age and Matt’s age is given as x = y + 5

An equation is an expression that can be used to show the relationship between numbers and variables.

The equation of a line in slope intercept form is:

y = mx + b

Where m is the slope and b is the y intercept

Let x represent Sam’s age and y represent Matt’s age. Sam is 5 years older than Matt, hence:

x = y + 5

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