The O'Neil family is taking a road trip. Their final destination is more than 243 miles from their house, and so far they have traveled 157 miles. Their
car can travel 21.5 miles on a gallon of gas. Which number line shows the solution set for the number of gallons of gas the O'Neil family needs to
reach their destination?

Answer:

12.57 ft

Step-by-step explanation:

First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.

Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.

Now that we have our radius we can use the formula:

[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)

Using 3.14 for pi we get:

[tex]C=2(3.14)(2)[/tex]

[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)

Answer:

what are the rest of the choices, if the ones are the top ones they dont make sense.

Step-by-step explanation:

Answer:

25*0.5 = 12.5

A. x2+y2=16 I just did this question.

Step-by-step explanation:

If you substitute the x in 2x+8 with 7, you get:

2(7)+8

14+8

22

If you substitute the x in 2x+8 with 5, you get:

2(5)+8

10+8

18

Hope this helps!

Answer:

chocolate chip 7

walnuts 3.5

Step-by-step explanation:

assume x=chocolate chips

 y=walnuts.

equation

4x + 8y=33

(2x+3y=13)×2

new eq

4x + 8y=33

4x + 6y=26

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

 2y=7

  y=7/2

4x+ 8y = 33

4x + 8(7/2)= 333

4x= 33-28

x=7.00

The ratio of number of burgers without onions to the number of burgers with onions is 4:1.

The ratio of numbers implies the relationship between the numbers when expressed in its simplest fraction. The relationship can be written in form of a/ b or a:b.

Given in the question that Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. Then the ratio required can be expressed as;

ratio of number of burgers without onions to burgers with onions = (number of burgers without onions)/ (number of burgers with onions)

                = 12/ 3

                = 4/ 1

The ratio of number of burgers without onions to burgers with onions = 4:1

Therefore, the ratio of the number of burgers without onions to the number of burgers with onions is 4:1.

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On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

-7 < x < -2

-2 < x < 3

and 3 > x > 8

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Answer:

-3,-5,-6,-10

Step-by-step explanation:

Answer:

-3 -5 -6 -10

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

[tex]\frac{7}{35} =\frac{y}{100}[/tex]

35 · y = 7 · 100

35y = 700

35y ÷ 35 = 700 ÷ 35

y = 20

Answer: C correctly rewrites the formula to solve I

Step-by-step explanation:

Answer:100

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

Create an equation:

80 = 18x+8

Solve for x by subtracting both sides by 8:

80-8 = 18x+8-8

72 = 18x

Divide both sides by 18:

72/18 = 18x/18

4 = x

4 is the greatest number of DVDs she can buy.

Answer:

742

Step-by-step explanation:

6000

-5258

   742

Answer:

0.25

Step-by-step explanation:

hope that helps!!!!!!!!!!!!!!!!!!!! :)

There was 4 dollar of discount on the total amount.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].

Given data :

4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)

Add similar elements

= 7[tex]\sqrt[5]{x^{2} y}[/tex].

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Answer:

the short side is equal to 2 feet

Step-by-step explanation:

24 = (2x)*(x-4) = 2x² -8x

you'll just use solve on your calculator and get that the x is equal to -2 or 6

which means the short side must be equal to 2

Answer:

Step-by-step explanation:

Sides are:

The area is the product of the long and short sides:

The short side is:

Answer:

4.

Step-by-step explanation:

the difference means -.

between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.

Answer:

0.65

Step-by-step explanation:

Answer:

$1400

Step-by-step explanation:

350 x 2 = 700 x 2 = $1400

Answer:

32.55

Step-by-step explanation:

If you get 30% off, that means you pay (100% - 30% = 70% of the cost)

46.50 * 70%

46.50 *.70

32.55

9514 1404 393

Answer:

  no, yes, yes, no, yes

Step-by-step explanation:

You're looking for values greater than -1.5. All positive numbers will be greater than any negative number.

The two negative numbers among the answer choices are both to the left of -1.5 on the number line. They are less than -1.5, so are not greater than -1.5.

The negative numbers are No; the positive numbers are Yes.

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

Answer:

2112

Step-by-step explanation:

we find the area of the base first

which is 16*12/2 because it is a right triangle

16*12/2 = 96

then we multiply the base by the height

22*96 = 2112

as a note, remember, prism volume is all base * height

brainliest if this was helpful

Answer:

a=4 because 4+2=6 on number one

The maximum value considering DP of a and b is 9.52.

The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;

4.76 3 dp

The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.

From the given question;

a = 8.7 and b = 0.82

Thus,

a + b = 8.7 + 0.82

        = 9.52

a + b = 9.52

Therefore, the maximum of a + b = 9.52

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Answer:

.125

Step-by-step explanation:

1/4 times 1/2 equals .125.

Answer:

Total area of the box is 1 ft squared

Area of the shaded box is .125 ft squared

Area of the non - shaded box is .875 ft squared

Step-by-step explanation:

To find the total area, we can multiple the length * height, 1 * 1 = 1.

To find the shaded area, we can multiple the length * height, .5 * .24 = .125.

To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.

Answer:

√2119936=1,456

Step-by-step explanation: