If the equation f(x) = 3x + 5 represents the cost of buying T-Shirts on Amazon.com;
evaluate the equation for f(13).

Answer:

It is actually 7

Step-by-step explanation:

yup :)

Answer:

The 2 numbers are -12.5 and 17.5.

Step-by-step explanation:

Let 1 number be x then  x - y  = 30 where the other number is y.

y = x - 30 so the sum is:

x - 30 + x = 5

2x = 35

x = 17.5

and y = 17.5 - 30 = -12.5.

Answer:

17.5 and -12.5

Step-by-step explanation:

Answer:

we have been given that x=-9 and x=9 then putting two values of x in the given equation we can find the value of z. I've got the value of z as 22

Step-by-step explanation:

The given equation is :

x^2+z=103

If we put x as (-9) ,

(-9)^2+z = 103

or, 81 +z = 103

or, z= 103-81

or,z=22 (Answer)

Now , again if we put x as 9,

9^2+z=103

or, 81+z=103

or,z=103-81

or,z=22 (Answer)

THEREFORE THE VALUE OF Z IS 22

Answer:

10

Step-by-step explanation:

The weight of the last fish was 3.1 kg. It's found by subtracting the sum of the weights of the first 7 fish from the sum of all weights.

To find the weight of the last fish, we can use the mean weight formula:

[tex]\[\text{Mean weight} = \frac{\text{Sum of all weights}}{\text{Number of fish}}\][/tex]

Given:

- Jeremy caught 8 fish.

- The mean weight of the fish was 4.3125 kg.

- The sum of the weights of the first 7 fish is [tex]\(4.3 + 5.3 + 6.8 + 2.6 + 3.2 + 4.4 + 4.8\).[/tex]

First, let's calculate the sum of the weights of the first 7 fish:

[tex]\[4.3 + 5.3 + 6.8 + 2.6 + 3.2 + 4.4 + 4.8 = 31.4\text{ kg}\][/tex]

Now, let's find the sum of all weights of the 8 fish:

[tex]\[4.3125 \times 8 = 34.5\text{ kg}\][/tex]

To find the weight of the last fish, we subtract the sum of the weights of the first 7 fish from the sum of all weights:

[tex]\[34.5 - 31.4 = 3.1\text{ kg}\][/tex]

So, the weight of the last fish was 3.1 kg.

Answer:

The type of angles of <1 and <5 are corresponding angles

Step-by-step explanation:

Answer:

the top one (-40)8 is the correct answer

Answer:

5.9

Step-by-step explanation:

The absolute value of a number is its distance from zero on the number line, without considering direction. Hence, the absolute value of 5.9 is 5.9 itself.

The absolute value of a number is its distance from zero on the number line, regardless of direction. In other words, it's the number without any sign (either positive or negative).

As for your question, the absolute value of 5.9 is simply 5.9.

That's because 5.9 is already a positive number, and its distance from zero is 5.9 units on the number line. Absolute values are always non-negative (0 or positive), so the absolute value of any positive number is the number itself.

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Answer:

$0.42

Step-by-step explanation:

Given:

Luisa Díaz drove her vehicle about 7,200 miles last year.

Total fixed cost = $1,058.40

Total variable cost = $1965.60

Question asked:

How much did it cost per mile ?

Solution:

Total cost of driving 7200 miles = Total fixed cost + Total variable cost

                                                     = $1,058.40 + $1965.60

                                                     = $3024

By unitary method:

Cost of driving 7200 miles = $3024

Cost of driving 1 mile = $3024 [tex]\div[/tex] 7200

                                   = $0.42

Thus, cost of driving per mile is $0.42

Answer: She will have 200 milliliters of lemonade left after filling the bottles.

Step-by-step explanation:

Hi, since 1 liter = 1000 milliliters

For 16.3 liters: 16.3 x 1000 = 16,300 milliliters (1 batch)

She made 2 batches.

16,300ml x2 = 36,600 milliliters

We have the total amount of lemonade in two batches; we have to divide it by the capacity of each bottle (400 ml), to calculate how many bottles she can fill.

36,600 milliliters / 400 milliliters = 81.5 bottles

She can fill 81 bottles and she will have a leftover of half a bottle.

Since each bottle is 400 milliliters, half of it:

400/2 = 200 milliliters

She will have 200 milliliters of lemonade left after filling the bottles.

Answer:

Step-by-step explanation:

hello :

5x²+8x-4  quadratic expression when : a = 5  and  b=8  and  c= -4

∆ = b²-4ac        ∆ = 8²-4(5)(-4) = 64 +80 = 144 = 12²

X1 = ( -b -√∆)/2a       X1 = (-8-12)/10 = -20/10= -2

X2 =(-b+√∆)/2a       X2 = (-8+12)/10 = 4/10 = 2/5

us factorisation : a(X-X1)(X-X2)

5x²+8x-4= 5(x+2)(x-2/5) = (x+2)(5x-2)

you can verify ;  (x+2)(5x-2) = 5x²-2x+10x-4 = 5x²+8x-4

The trinomial [tex]5x^2+8x-4[/tex] can be factored into two binomials (5x + 4) and (x - 1), which when multiplied together, produce the original trinomial.

To factor the trinomial [tex]5x^2+8x-4[/tex], we are looking for two binomials that when multiplied together will give us this trinomial.

The process of factoring involves reversing the distributive law and turning the expression back into factors (multiples). To do this, we look for two numbers that multiply to give the product of the coefficient of x² term (which is 5) and the constant term (which is -4), and that also add up to give the coefficient of the x term (which is 8).

Let's find the factors:

Factors of 5x² are 5x and x.

Factors of -4 that add up to +8 when multiplied by the corresponding factors of 5 can be 4 and -1, since (5x)(-1) + (x)(4) = -5x + 4x = -1x.

Therefore, the binomials we are looking for are (5x + 4) and (x - 1).

When you multiply (5x + 4) and (x - 1) together, it will result in the original trinomial 5x²+8x-4.

Answer: The length of a rectangle would be 7.5

Step-by-step explanation:

To find the length is [tex]l = \frac{A}{w}[/tex]

-Solve:

[tex]l=\frac{135}{18}[/tex]

-Divide 135 by 18 and you get 7.5

[tex]\frac{135}{18} = 7.5[/tex]

-Result:

[tex]l= 7.5[/tex]

Answer:

shed get $1.82 back

Step-by-step explanation:

Answer:

She would get $1.82 back

Step-by-step explanation:

If she bought 3 cartons costing $1.06 each, you would have to multiply $1.06 by 3

$1.06 x 3 = $3.18

Then if she paid with a five dollar bill you have to subtract $3.18 from 5

5 - 3.18 = 1.82

$1.82 is the answer

A) Variables:

X = number of weeks she puts money into the account.

Y = total amount in account after x weeks.

B) m would be the amount she puts in per week, b is the starting amount she has in the account

Y = 5x + 40

C) replace x with the x values in the cart and solve for y:

O : y = 40. Coordinates (0,40)

1: Y = 45. (1,45)

2: 50, (2,50)

3: 55, (3,55)

4: 60, (4,60)

D) make the graph using the above points

E) y intercept is when x is 0, which is 40. This was the starting value of how much money was saved.

Answer:

DO you still need help? Considering this was posted a long time ago.

Step-by-step explanation:

Answer: xy (27x - 43y)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

    Average rooms cleaned per housekeeper day: The average number of rooms cleaned per housekeeper day is  performance ratio that gives an idea of how many rooms each housekeeper cleaned.

Average rooms cleaned per housekeeper day = [tex]\frac{ Number of rooms occupied}{Number of full-time housekeepers}[/tex]

Answer:

15

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:   x > - 1

Step-by-step explanation:

Answer:

x  > -1

Step-by-step explanation:

To solve, we must isolate the variable, x

8+8(x + 4) >32

Distribute the 8

8+ 8*x +8*4

8+8x+ 32 >32

Combine like terms

8+32 +8x  >32

40 + 8x >32

Subtract 40 from both sides

8x  > -8

Divide both sides by 8

x  > -1

Answer:

Increases

Step by Step Explanation:

More time on your homework means more time to cheat/figure the answer out.

Answer:

Improved

Step-by-step explanation:

The more you study or do homework, the more you learn, and the better your grade

Answer:

31 inches.  Add all the sides together.  The height is not needed.  6.5+13.5+4+7=31 inches.

Step-by-step explanation:

Answer:

Perimeter = 13.5 + 6.5 + 4 + 7

= 31 inches

Step-by-step explanation:

Answer:

The mean temperature is 31.

Step-by-step explanation:

The formula for the z-sore is

          x - mean

z = ----------------------

        (std dev)

In this case let's multiply both sides by (std dev), obtaining:

x - mean = z*(std dev).

Solving for (mean), we get

mean = x - z*(std dev)

Substituing 37 for x, 2.4 for z and 2.5 for (std dev), we get:

mean = 37 - (2.4)(2.5) = 31

The mean temperature is 31.

Final answer:

To find the mean temperature with the given z-score and standard deviation, the z-score formula is used. After calculation, the mean temperature in Philadelphia for the first 15 days of February is determined to be 31°.

Explanation:

The question is asking us to find the mean temperature in Philadelphia for the first 15 days in February, given that the daily high temperatures are normally distributed with a standard deviation of 2.5° and that on Valentine's Day (February 14th), the temperature was 37° with a z-score of 2.4. To solve for the mean temperature, we can use the z-score formula:

Z = (X - μ) / σ

Where:
Z is the z-score,
X is the value in the dataset,
μ is the mean, and
σ is the standard deviation.

We know Z = 2.4, X = 37°, and σ = 2.5°. Plugging these values into the z-score formula, we can solve for the mean (μ).

2.4 = (37 - μ) / 2.5

Multiplying both sides by 2.5, we get:

2.4 x  2.5 = 37 - μ
6 = 37 - μ
μ = 37 - 6
μ = 31°

Therefore, the mean temperature in Philadelphia for the first 15 days in February is 31°.

Answer:

120 different ways

Step-by-step explanation:

For the first lunch, Emilce has 5 options to choose,

In the second lunch, now she has only 4 options, as one was already chosen.

Then, in the third lunch, she has 3 options.

In the fourth lunch, she has 2 options.

In the last lunch, she has just 1 option.

So, the number of different ways she can order her lunches in the week is:

5 * 4 * 3 * 2 * 1 = 120

She can order in 120 different ways.

The algebraic expression -8z + 1 consists of terms (-8z and 1), a variable (z), a coefficient (-8), and a constant (1), enriching the understanding of algebraic expressions.

The question identify the parts of the following algebraic expression: -8z + 1 is focused on dissecting an algebraic term to its fundamental components. The expression – 8z + 1 has several parts to be identified:

The identification of each part of an algebraic expression helps in understanding and solving mathematical equations effectively.

The algebraic expression -8z + [tex]\frac{1}{2}[/tex]y - 7.7 has -

In the algebraic expression -8z + [tex]\frac{1}{2}[/tex]y - 7.7, we can identify the terms, variables, coefficients, and constants as follows:

Understanding these parts is essential for simplifying expressions and solving algebraic equations effectively.

Complete question:

Identify the parts of the following algebraic expression.

-8z + [tex]\frac{1}{2}[/tex]y - 7.7

Answer: The value of a is the number that the​ x-values are multiplied by to get to the corresponding​ y-values. So, a equals 5

We have

y=ax  

so a is clearly the number we multiply by the x values.

Substituting either  points (2,10) and (-2,-10),

10 = a(2)

a = 10/2 = 5

Answer:

x = 3

y = 14

Step-by-step explanation:

VR = TS   VT = RS        (Rectangle)

y = x + 11

y - 3x = x + 2

y = 4x + 2

x + 11 = 4x + 2

3x = 9

x = 3

y = 14

Answer:

(A) [tex](Jokes * Knowledge^2) / Familiarity[/tex]

Step-by-step explanation:

The number of laughs (denoted by L) is a function of

Given [tex]L=\frac{J\cdot K^2}{F}[/tex]

The appropriate measurement unit for number of laughs will be:

[tex](Jokes * Knowledge^2) / Familiarity[/tex]

The equation 3tan²x = 3tanx solved for all real values of x is [tex]x = n\pi[/tex] or [tex]x = \dfrac{\pi + 4n\pi}{4}[/tex], where n is an integer

Solving the equation for all real values of x.

From the question, we have the following parameters that can be used in our computation:

3tan²x = 3tanx

This can be expressed as

3tan²x - 3tanx = 0

Factor out 3tanx

3tanx(tanx - 1) = 0

Expand

3tanx = 0 or tanx - 1 = 0

So, we have

tanx = 0 or tanx = 1

Take the arctan of both sides

x = tan⁻¹(0) or x = tan⁻¹(1)

Evaluate the arctan for all real values of x.

[tex]x = n\pi[/tex] or [tex]x = \dfrac{\pi + 4n\pi}{4}[/tex], where n is an integer

Answer:c

Step-by-step explanation:

I think

Answer:

Product (Multiplication) always needs a negative to be negative

Step-by-step explanation: