Shelley just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages. How many pages did Shelley read each day?

Answer:

Step-by-step explanation:

We are expected to compute the warmest temperature recorded at Minneapolis

Step one:

We are told that on January 30th of 2019 was the coldest day at Minneapolis

hence the temperature reading= -28F------this is like 28 points away from 0 on the number line

Step two:

We are given that the warmest temperature recorded is 15F higher.

since the -ve sign represent cold or snowy weather, the warm temperature

is gotten by adding 15F to the negative temperature

=-28+15

= -13F

The warmest temperature was -13F

Answer:  [tex]-\frac{p}{8}[/tex]

This is the fraction -p/8

====================================================

Explanation:

When we divide by -16, we're really multiplying by -1/16. Fractions and division are very similar ideas.

So we can say,

[tex]2p \div -16 = 2p \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p}{1} \times \frac{-1}{16}\\\\2p \div -16 = \frac{2p(-1)}{1*16}\\\\2p \div -16 = \frac{-2p}{16}\\\\2p \div -16 = \frac{-2p}{2*8}\\\\2p \div -16 = -\frac{p}{8}\\\\[/tex]

The second to last step has a pair of '2's divide and cancel out.

-------------

Another way to think of it is to consider

[tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}[/tex]

The flip from division to multiplication has us apply the reciprocal of the second fraction. In this problem, we have a = 2p, b = 1, c = -16 and d = 1. The steps will be very similar if not identical to what is shown above.

Answer:

12 + 24 divided by 4

Step-by-step explanation:

12 + 24 is 36, so divide that by 4, that gives you the answer, which is 9

The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

When 12 is subtracted from 4 times a number, the result is 24.

Let the number be 'x'. Then the equation is given as,

12 - 4x = 24

Simplify the equation, then we have

12 - 4x = 24

- 4x = 24 - 12

- 4x = 12

4x = - 12

x = - 12 / 4

x = - 3

The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.

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Answer:

33 and 34

Step-by-step explanation:

Let the integers be x and x+1 respectively.

4x = 3(x+1) + 30

x = 33

therefore, the integers are 33 and 34

This is a question on forming and solving algebraic equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

2x - y = -13

Step-by-step explanation:

Answer:

it is A

Step-by-step explanation:

Answer:

881 (-6x)

Step-by-step explanation:

Answer:

3.36 yards

Step-by-step explanation:

✓From the question, Esteban stands on a dock 1.25 yd above the water which means the distance of Esteban above the water is 1.25 yd

✓A fish swims below Esteban at -4.61 yd from the surface of the water which means the distance of the fish away from the surface is 4.61 yd in opposite direction of Esteban

NOTE: The negative sign only signify direction of the fish which is opposite of Esteban

✓then the distance in yards apart of Esteban and the fish is

=4.61-1.25

=3.36 yards

Answer:

618.75 to 1687.50

Step-by-step explanation:

the answer is option 2....

Answer:

Option 2

Step-by-step explanation:

when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1

Answer:

yes it is

Step-by-step explanation:

to have a right traingle two sides cannot be equal and the first added and squared cannot be more than the last side squared

Answer: m=0

Step-by-step explanation: simplify each individual expression first. The left side of the equation is equal to -12m-6, and the right side is equal to 30m-6. Then together, it equals to -12m-6=30m-6. The -6 cancel each other out. M=0

Answer:

$56.70

$132.30

$17.199

$149.499

No

Step-by-step explanation:

Given that:

Regular price of skis = $189

Discount % = 30%

Amount saved = $140

After sales tax = 13%

a. What is the discount?

Discount amount = Regular price * discount %

Discount amount = $189 * 0.30

Discount amount = $56.70

b. What is the new price?

Regular price - Discount amount

$189 - $56.70

= $132.30

c. What is the tax?

Sales tax = new price * tax %

Sales tax = $132.30 * 0.13

Sales tax = $17.199

d. What was the total price of the shoes, after the discount and tax?

New price + sales tax

= $132.30 + $17.199

= $149.499

e. Do you have enough money?

No

$149.499 > $140

The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost per cake = £54

15% of £54 = 0.15 x 54 = £8.1

Selling price = £54 + £8.1 = £62.1

Hence "The selling price of Steph's birthday cakes such that the profit is 15% will be  £62.1".

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Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We want the equation of the line perpendicular to y=-3.

Notice that y=-3 is a horizontal line.

Therefore, in order to be perpendicular, our new equation must be vertical.

We know that it must pass through the point (2, -1).

Since it must be vertical, it must pass through the x-coordinate.

Therefore, our line must be:

[tex]x=2[/tex]

It passes through (2, -1) and is a vertical line, so it’s perpendicular to y=-3.

Answer:

x=2

Step-by-step explanation:

Answer:

Part A=2,400  Part B=12,400

Step-by-step explanation:

The amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Diego deposited $10,000 for 4 years at a rate 6% simple interest

We need to find the interest earned by Diego after 4 years.

Let us find what is 6% of 10000

Convert 6% to decimal value by dividing with 100.

6/100=0.06

Now multiply zero point zero six with 10000

0.06×10000

600

Noe for four years she earned

4×600

2400

2400 is the amount of interest Diego earned after 4 years.

Now let us find the money Diego have after 4 years.

Which is 10000+2400

12400

Hence the amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.

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Answer:

y = 2/3x - 8

Step-by-step explanation:

Use the slope intercept form, y = mx + b, where m is the slope and b is the y intercept

Plug in the slope and y intercept:

y = mx + b

y = 2/3x - 8

So, y = 2/3x - 8 is the equation of the line.

Answer:

The answer is s = 1.

Step-by-step explanation:

Opposite sides of a parallelogram are equal so,

3s + 19 = s + 21

3s - s = 21 - 19

2s = 2

s = 1

next,

s + 21 =? 3s + 19

1 + 21 equal to (?) 3(1) + 19

22 = 22

so the answer is correct

Answer:

is the answer you add 19 + 21 give you 40

40

Answer: Divide the whole equation by 5

Step-by-step explanation: You could divide the whole equation by 5 since there are 5 friends. Once you do that you end with the equation 5x - 23, which is what each friend would pay.

Answer:

Sample response: Factor the GCF of five out of the total bill. Divide both terms of the expression by 5. The result is 5x – 23, which is the expression that can be used to find the amount each person pays.

Step-by-step explanation: (you may want to reword it)

Answer:

15 days

Step-by-step explanation:

Answer:

27 days

Step-by-step explanation:

Answer:

f(3)=-60

Step-by-step explanation:

f(3)=5*(3^2)-7(4*3 + 3)

f(3)=5*9 - 7*15

f(3)=45-105

f(3)=-60

Answer: -60

Step-by-step explanation:

f(3) means that you replace the input function of x with 3; So, your equation would look something like this:

5(3)^2 - 7(4(3) +3)

= 5(9) - 7(15)

= 45 - 105

= -60

Answer:Claire car will go 441 miles on 21 gallons

Step-by-step explanation: 21×21=441

Answer:

2 hours

Step-by-step explanation:

if you do 19x2 then that is 38 and then you have to add 6 dollars per hour so that would be 2 hours

Answer:

x = -7º

x+59 = 52º

x+51 = 44º

Step-by-step explanation:

84 + (x+59) + (x+51) = 180º

180 - 84 = 96

x+59 + x+51 = 96

2x + 110 = 96

2x = -14

x = -7

proof:

-7+59 = 52º

-7+51 = 44º

the sum of angles in a triangle must be 180º so:

84 + 52 + 44 = 180

Answer:

Step-by-step explanation:

84 + x + 59 + x + 51 = 180

2x = 180 - 84 - 59 - 51

x = -14/2

x = -7

∠A = x + 51

∠A = -7 + 51

∠A = 44°

Given:

A wire 45 meters long is cut into two pieces

One piece is 5 meters longer than the other.

To find:

The length of the two pieces.

Solution:

Let length of one piece be x.

One piece is 5 meters longer than the other. So,

Length of another piece = x+5

Total length of wire is 45. So,

[tex]x+(x+5)=45[/tex]

[tex]2x+5=45[/tex]

Subtract 5 from both sides.

[tex]2x=45-5[/tex]

[tex]2x=40[/tex]

Divide both sides by 2.

[tex]x=\dfrac{40}{2}[/tex]

[tex]x=20[/tex]

Now,

Length of one piece = 20 meters

Length of another piece = 20 + 5

                                        = 25 meters

Therefore, the length of two pieces are 20 and 25 meters.

Correct question

A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5 pound tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

Answer:

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

Step-by-step explanation:

For tuna: Made from scratch

The ingredients cost $12.18 and yield 10 four-ounce servings.

10 servings = $12.18

1 serving = x

10 × x = 1 × $12.18

x = $12.18/10

x = $1.218

Hence, 1 four ounce serving cost $1.218

The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub.

5 pound tub salad = $26.99

1 pound tub of tuna salad = x

5 × x = 1 × $26.99

x = $26.99/5

x = $5.398 per pound

Converting to ounces

0.0625 pound = 1 ounce

5 pound = x

x = 5/0.0625

x = 80 ounces

80 ounces of tuna salad = $5.398

4 ounces of tuna salad = x

80 × x = 4 × $5.398

x = 4 x 5.398/80

x = $0.2699

Hence, 1 4 ounce pre made tuna salad cost = $0.2699

Hence, the cost per portion for the scratch-made is $1.218 per 4 ounces servings and the premade versions is $0.2698 per 4 ounce servings

If cost were the only factor, the chef should not make version of the tuna salad from scratch because it is expensive that the premade version

Using the permutations formula, it is found that: 11,232,000 different license plates are possible

----------------------------------------------------

The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.

----------------------------------------------------

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

----------------------------------------------------

In this question:

Thus:

[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]

11,232,000 different license plates are possible

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