If the ratio of boys to girls is 3 : 11 and there are 66 girls in the play, how many students are boys?

Answer:

80km/h

Step-by-step explanation:

speed = rise/run = distance/hours
speed = 320km/4 hours
speed = 80km/h

Answer:

L = length, W = width and P = perimeter

L = 3W + 18

Perimeter = 116 = 2(L + W) , i.e. L + W = 58

Now substitute

3W + 18 + W = 58

4W = 40

W = 10

L = 48

Step-by-step explanation:

If the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that, the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. Fine the dimensions

L = length, W = width and P = perimeter

L = 3W + 18 -------- (1)

Perimeter = 116

Perimeter  = 2(L + W)

L + W = 58

Put the value in equation 1,

3W + 18 + W = 58

4W = 40

W = 10

L = 48

Thus, if the perimeter of a rectangle is 116. The length is 18 more than 3 times the width. The length and width of the rectangle will be 48 and 10 units.

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Answer:

17

Step-by-step explanation:

17 is half of 34 therefore it is 17

Answer:

y = -11x - 13

Step-by-step explanation:

Step 1: Subtract 11x from both sides.

Therefore, the answer is y = -11x - 13.

Answer:

The area of the trapezoid is 22.5 square miles.

The perimeter of the trapezoid is 22.5 miles.

Step-by-step explanation:

Recall that the area of a trapezoid is given by:

[tex]\displaystyle A = \frac{1}{2}(b_1+b_2)h[/tex]

Where b₁ and b₂ are the two parallel bases and h is the vertical height between them.

The two bases are 5.5 mi and 3.5 mi and the vertical height between them is 5 mi. Hence, the area of the trapezoid is:
[tex]\displaystyle \begin{aligned} A & = \frac{1}{2}(5.5+3.5)(5) \\ \\ & = \frac{1}{2}(9)(5) \\ \\ & = \frac{45}{2} \\ \\ &= 22.5\text{ mi}^2\end{aligned}[/tex]

The perimeter of the trapezoid is simply the sum its four sides. Hence:
[tex]\displaystyle \begin{aligned} P & = (5.5) + (6) + (7.5) + (3.5) \\ \\ & = 22.5\text{ mi} \end{aligned}[/tex]

Therefore, the area and perimeter of the trapezoid is 22.5 square miles and 22.5 miles, respectively.

Answer:

  (i) 0.2 kg

  (ii) kg/cm³

  (b) 2.29 kg

Step-by-step explanation:

This problem gives you relations between units, and the formulas for density and mass. It is asking you to make use of these relations in various mass and density calculations.

The relationship between kg and pounds can be used to write a units conversion multiplier. It will have numerator equal to denominator, but will have units such that multiplying by it will give the units you want.

  0.44 pounds × multiplier = __ kg

  0.44 pounds × (1 kg)/(2.2 pounds) = (0.44/2.2)(1 kg)

  0.44 pounds = 0.2 kg

__

The formula can be used to find the units of interest:

  Density = mass/volume

  units of density = (units of mass)/(units of volume)

  units of density = kg/cm³

__

Using the given formula with the given value of L, we find the volume to be ...

  V = 4(1.40 cm)(3 -1.40 cm)² = 14.336 cm³

Then the mass is ...

  mass = volume × density

  mass = (14.336 cm³)×(0.160 kg)/(1 cm³) = 2.29376 kg

The mass is about 2.29 kg.

_____

Additional comment

Often you will see density in terms of kg/m³ or g/cm³. Water has a density of about 1 g/cm³ or 1000 kg/m³. The most dense non-radioactive element in the periodic table is osmium, with a density of about 22.6 g/cm³, or 0.0226 kg/cm³. The material in part (b) of this problem has a density about 7 times that, so is clearly not from Earth.

Answer:

need to sell 97 bottles of water

Step-by-step explanation:

36.75 + 180 = 2.25x

216.75 = 2.25x

divide both sides by 2.25

x = 96.33333

Answer:

obtuse trianle

Step-by-step explanation:

triangle:

This type of triangle is an obtuse triangle

Answer:

  156.654

Step-by-step explanation:

The standard algorithm multiplies the integers as shown in the attachments, then places the decimal point in the result. Either factor can be used as multiplier or multiplicand.

For this problem, it might be easier to use 162 as the multiplier of 967, so the partial products are easier to form and check. This is shown in the second attachment. The first partial product is double the multiplicand; the second partial product is 3 times that value, and the third partial product is simply the multiplicand. In other words, you can choose the order of the numbers so as to make the effort easier.

The result is the sum of the partial products, with three decimal places: 156.654.

_____

Additional comment

One must be careful with the decimal point when the numbers contain factors of 2 and 5. The trailing zeros must be maintained until the decimal point is placed. For example, 0.25 × 0.4 = 0.100. The trailing zeros count in the total of 2+1=3 decimal places.

Answer:

1. -1

2. 3

3. (2, 5)

Step-by-step explanation:

y axis is |

x axis is _

A intersects the y axis at -1

B intersects the y axis at 3

A and B intersect at (2, 5) because the x value is 2 because it goes right twice and the y value is 5 because it goes up 5 and theres the point of intersection

Answer:

x int: (4,0)

Step-by-step explanation:

make y=0

x^2-4x=0 add 4 to both sides

x^2=4x divide by x

x=4

Answer:

1.) a. 1/8 b. 7/8 c. 4/8 d. 3/8 2.) a. 8/40 b. 18/40 c. 14/40 d. 0.05 (5%) 3.) a. 60/400 b. 138/400 c. 26/400 d. 12 e. 100 pages goes with 4 different colors as does 150 and 200 page notebooks, this means 4+4+4=12 and that's the number of different possible combinations

Step-by-step explanation:

Answer:

48 ounces

Step-by-step explanation:

1 pound = 16 ounces

3x16=48

Hope this helps :)

Answer:

48

Step-by-step explanation:

If I'm wrong let me know, but I'm pretty sure it's 48 ounces

Answer:

B

Step-by-step explanation:

First of all the equation is subtracttion since they used to word *difference* which indicates subtract. To find the different between how much Anna at and how much she gave her brother we would subtract 5/8 by 3/8.

to solve this equation ( 5/8 - 3/8 ) the denominator of both fractions have yo be the same and that is true for this equation. Then you would subtract the numerators and keep the denominator the same. So the answer is 2/8

Answer:

- 7 < x < 4

Step-by-step explanation:

- 6 < 2x + 8 < 16 ( subtract 8 from each interval )

- 14 < 2x < 8 ( divide each interval by 2 )

- 7 < x < 8

Answer:

A

Step-by-step explanation:

Find the boundary line and shade the area related.

Answer:

Step-by-step explanation:

226-230= (-4)

226-(-4)

=226+4

=230

tn= -4n+234

The price of Andrea's tacos is four times of tip be 2 dollars which is 8 dollars.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Andrea bought tacos from a food truck and left a 25 %, 25 percent tip of $2.

The tip is 2 dollars for 25 %. Then the tip will be x for 100 %.

[tex]\rm \dfrac{x}{100} = \dfrac{2}{25}\\\\x \ \ \ \ = 8[/tex]

More about the ratio and the proportion link is given below.

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Answer:

Step-by-step explanation:

31 is the answer

Explanation:

Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.

The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.

Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.

The same set of steps will have us construct point C' as well. AC doubles to AC'

Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.

Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.

Answer:

11

Step-by-step explanation:

find HCF using factor tree

99={3×3×11}

33={3×11}

121={11×11}

HCF =11

Answer:

3 is D    4 is B

Step-by-step explanation:

Source: trust me bro

Answer:

3) A

4) B

Step-by-step explanation:

Just substitute the values given for the variables.

Use your calculator and get your answer.

Listen to peoples problems, care about them and give advices.

Answer:

Step-by-step explanation:

you could subtract and divid

Answer:

11.25 cups or simplified 11 1/4 cups

Step-by-step explanation:

you do 2 1/4 times 5

Answer:

[tex]11\frac{1}{4}[/tex]

Step-by-step explanation:

Given the following question:

[tex]2\frac{1}{4} \times5[/tex]

Each serving takes 2 1/4 cups of fruit...
How much to make 5 servings?

To find the answer we will have to multiply 2 1/4 by 5, since we are trying to find out how much it would take to make 5 smoothies.

[tex]2\frac{1}{4} \times5[/tex]
[tex]2\frac{1}{4} =4\times2=8+1=9=\frac{9}{4}[/tex]
[tex]\frac{9}{4} \times5[/tex]
[tex]5=\frac{5}{1}[/tex]

[tex]\frac{9}{4} \times\frac{5}{1}[/tex]
[tex]9\times5=45[/tex]
[tex]4\times1=4[/tex]
[tex]=\frac{45}{4}[/tex]

Convert into mixed number:
[tex]\frac{45}{4}[/tex]
[tex]=\frac{45}{4}=45\div4=11\frac{1}{4}[/tex]
[tex]=11\frac{1}{4}[/tex]

Which means in order to make 5 servings of the smoothie, we need "11 1/4 cups" of fruit.

Hope this helps.

Answer: 78% of the markers are black

Step-by-step explanation:

1. Subtract the total of markers by the amount that are blue.

a. 32-7 = 25

2. Divide the amount of black markers by the total of markers

b. 25/32 = 0.78125

3. Make this number a percentage

c. 0.78125 x 100 = 78%

Answer:

The answer is 4/10

Step-by-step explanation:

If you add all marbles in both bags it equals 40. There are 10 pink marbles in both so 40 / 10 is 4 and the denominator would be 10. 4/10

Answer:

The odds of getting a pink marble from the 1st bag are 7/21, .333 repeating, or approximately 33%.

The odds of getting a pink marble from the 2nd bag are 3/19, .158, or approximately 16%

Step-by-step explanation:

There are a total of 21 marbles in the first bag, and only 7 pink marbles. This means that when you reach into the bag, your odds are 7 out of 21 to select a pink marble. When divided, this can be changed to a percent or decimal.

There are a total of 19 marbles in the second bag, and only 3 pink marbles. When you reach into this bag, your odds are 3 out of 19 to select a pink marble. You can also divide this to become a percent or decimal.

Probability is often calculated in fraction or decimal form. If I flip a coin the odds of getting tails are 50% percent because there are only two possible outcomes, and tails is one of them. This gives you the fraction 1/2 (one-half), which is 50% when reduced.

Answer:

18 in.  would be the correct answer.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

15 + Percentage increase =

15 + (20% × 15) =

15 + 20% × 15 =

(1 + 20%) × 15 =

(100% + 20%) × 15 =

120% × 15 =

120 ÷ 100 × 15 =

120 × 15 ÷ 100 =

1,800 ÷ 100 = 18

hope this helped :)

Answer:

9

Step-by-step explanation:

they are not in the middle so it has to be 9-8  i feel like its 9

hope this helps!

The distance minute hand tracked from 2 to 6 is  5.23 inches.

A clock can be thought of as a circle having 12 steps and we know that circle is 360°,

So, the measure of each integer step of a clock is 30°or π/12 rad.

We know the circumference of a circle is 2πr.

From 2 to 6 the minute hand rotated (4×30°) = 120° = 2π/3 rad.

We know arc length(S) = r×Ф.

∴ The distance minute hand tracked is = (2.5)×(2π)/3 inches.

= 5.23 inches.

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