convert 3 √5^2 to fraction

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:

[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:

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

Answer:Claire car will go 441 miles on 21 gallons

Step-by-step explanation: 21×21=441

Answer:

15 days

Step-by-step explanation:

Answer:

27 days

Step-by-step explanation:

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

Answer:

618.75 to 1687.50

Step-by-step explanation:

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

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

A similar problem is given at https://brainly.com/question/16812463

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°

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".

For more about the percentage,

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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.

To learn more on Percentage click:

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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:

881 (-6x)

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:

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:

2x - y = -13

Step-by-step explanation:

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.

Answer:

it is A

Step-by-step explanation:

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:

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.

More about the solution of the equation link is given below.

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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:

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:

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:

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