an equivalent ratio for 5:10

Answer:

B. 70

Explanation:

A total of 182 pairs of jeans and shorts were sold and the number of shorts sold was 28 fewer than twice the number of jeans. This can be expressed with j being the number of jeans as:

j2 - 28 = number of shorts

As the number of shorts is 28 lower than twice the number of jeans, this means it can not be C or D, as these numbers are larger than 182 when doubled. The process of elimination can be done with the remaining using our equation.

51(2) - 28 = 102 - 28 = 74
70(2) - 28 = 140 - 28 = 112

Now that we have the number of shorts sold by using the equation, we can add them with what number was used as their number of jeans.

74 + 51 = 125
112 + 70 = 182

So the number of jeans sold is B. 70.

Answer:

10

Step-by-step explanation:

If Sabrina is 5 & Michael is 7. (5×7=35)

Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).

Answer:

Meghan is 10 years old

Step-by-step explanation:

We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.

We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:

m = 2x

Michael (M) is 3 years younger than Meghan. So we write:

M = m - 3

The product (multiplication) of Sabrina's and Michael's age is 35. So we write:

Mx = 35

To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.

M = 2x - 3

Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:

x(2x - 3) = 35

2x² - 3x = 35

2x² - 3x -35 = 0

(2x - 7)(x - 5) = 0

x = ⁷⁄₂ or 5

we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:

m = 2(5)

m = 10

Answer:

The answer is b. ok ok ok ok

Answer:

6

Step-by-step explanation:

I am unable to sketch a picture for you but I will do my best to help you understand. We know that our length of the first rectangle is 18 cm and the width is 6 cm. At the moment we don't need 18 so we'll put that to the side for now and focus on the width. We understand that in a second similar rectangle, the width is 2 centimeters. in order to find our scale, we must divide the larger width by the smaller width. This means we will divide 6cm by 2 cm. 6/2=3  This means that we also divide 18 by 3 since the similar rectangle is smaller and we are figuring out the missing side. After dividing 18 by 3 we should get an answer of 6. 18/3=6  Which means that our similar rectangle has a length of 6 cm and a width of 2 cm.

I also want to mention that similar rectangles are not the same rectangle however you can think of them as enlargerd/shrunk versions of the original rectangle. I hope this helps.

Answer:

Rs. 83.33

Step-by-step explanation:

cost of a pen = Total cost / total quantity

= 100/10

= Rs. 8.33/pen

Total cost for 10 pens = Cost per pen x quantity

= Rs.8.33 x 10

= Rs. 83.33 Ans

Any smooth curve connecting two points is called an arc. The correct option is c.

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

\(\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}\)

where

θ is the angle, that arc creates at the centre of the circle in degree.

If the central angle has a measure of π/2(90°), then the length of the arc will be one-fourth of the total, while if the measure of the angle is π(180°), then the length of the arc will be half of the total.

Similarly, if the measure of the angle is 3π/4, then the length of the arc will be three-fourth of the total, while if the measure of the angle is 2π(360°), then the length of the arc will be 2πr.

Hence, the correct option is c.

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Answer:

"To interpret a graph or chart, read the title, look at the key, read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed."

Step-by-step explanation:

Answer: To solve -x²-2x=0 by factoring, we can factor out x from the left-hand side:

x(-x-2) = 0

This equation is true if either x = 0 or -x-2 = 0. Solving for x in the second equation:

-x-2 = 0

-x = 2

x = -2

Therefore, the solutions to the equation -x²-2x=0 are x = 0 and x = -2.

To solve x²-4x-8--6x by factoring, we can simplify it first by combining like terms:

x²-10x-8 = 0

To factor this quadratic, we need to find two numbers that multiply to -8 and add to -10. These numbers are -2 and -8, so we can write:

x²-2x-8x-8 = 0

(x²-2x) - (8x+8) = 0

x(x-2) - 8(x+1) = 0

(x-8)(x-2) = 0

Therefore, the solutions to the equation x²-4x-8--6x are x = 8 and x = 2.

To solve 3x² +12=-21x-24 by completing the square, we first need to move all the terms to one side:

3x² + 21x + 36 = 0

Next, we divide both sides by 3 to simplify the coefficient of x²:

x² + 7x + 12 = 0

To complete the square, we need to add and subtract (7/2)² = 49/4 inside the parentheses:

x² + 7x + 49/4 - 49/4 + 12 = 0

(x + 7/2)² = 1/4

Taking the square root of both sides and solving for x, we get:

x + 7/2 = ±1/2

x = -7/2 ± 1/2

Therefore, the solutions to the equation 3x² +12=-21x-24 by completing the square are x = -4 and x = -3.

To solve -x²-3x-13 = -2x² by using the quadratic formula, we first need to move all the terms to one side:

-x² + x - 13 = 0

Next, we identify the coefficients a, b, and c:

a = -1, b = 1, c = -13

Substituting these values into the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

x = (-1 ± sqrt(1² - 4(-1)(-13))) / 2(-1)

x = (-1 ± sqrt(1 + 52)) / (-2)

x = (-1 ± sqrt(53)) / (-2)

Therefore, the solutions to the equation -x²-3x-13 = -2x² by using the quadratic formula are approximately x = -3.25 and x = 4.25.

Step-by-step explanation:

Answer:

(X+6)(x-5) + (X-5)(X+6)

Answer:

\(2x ^{2} - 22x + 60\)

Answer:

90 degrees

Step-by-step explanation:

This is a right angle, so it is a 90 degree angle.

Hope that helps!

Answer:

(1, 4)

Step-by-step explanation:

For people who are wanting to answer this question, just rotate this image three times to get the 90 degree counterclockwise image of the triangle :   )

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = \(\frac{1}{2}(\pi r^2h)\)

                                                     = \((\frac{1}{2})(\pi )(17-11)^2(6)\)

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

Answer:

v = - \(\frac{1}{2}\)

Step-by-step explanation:

Given

v = u + at ← substitute the given values for u, a, t

  = 1 + ( - 3 × \(\frac{1}{2}\) )

   = 1 + (- \(\frac{3}{2}\) )

   = 1 - \(\frac{3}{2}\)

    = \(\frac{2}{2}\) - \(\frac{3}{2}\)

    = - \(\frac{1}{2}\)

Answer:

a) = -8

b) 1 - (-7) = 8

b) -7 - 1 = -8

c) for both they are still the same answer so  

[1- (-7)] = 8

[-7 - 1] = -8

I'm pretty sure these are the answers hope this helped

Step-by-step explanation:

Answer:

18 logs

Step-by-step explanation:

because 9 is three times 3, just multiply the 6  by three as well.

In both cases, the acceleration vs. time graph will have a linear shape, therefore, option a is the correct answer.

For a constant, non-zero acceleration, an acceleration vs. time graph would have a linear (never horizontal) shape. When an object's acceleration is constant, it means that the object is changing its velocity at a constant rate.

In other words, the rate at which the velocity of the object is changing is constant, and that is what we refer to as the acceleration of the object. This constant acceleration could either be positive or negative. A positive acceleration occurs when an object is speeding up, while a negative acceleration (also known as deceleration) occurs when an object is slowing down.

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Answer:

a

Step-by-step explanation:

Answer:

the answer is a.

Step-by-step explanation:

I did this one.

Therefore, there are 825 boys in the school.

Percent is a mathematical term used to represent a fraction of 100. It is often denoted by the symbol "%". Percentages are used to express proportions, rates, or changes in quantities in terms of fractions of 100. For example, 50% means 50 parts out of 100 or a half, while 25% means 25 parts out of 100 or a quarter. Percentages are commonly used in everyday life, such as in calculating discounts, tax rates, and interest rates.

Here,

If 45% of the students are girls, then the remaining 55% must be boys.

To find the number of boys, we can first calculate what 1% of the total number of students is:

1% of 1500 = 0.01 x 1500 = 15

So there are 15 students in each 1% of the school population.

To find the number of boys, we can now multiply the number of 1% by the percentage of boys:

55% of 1500 = 0.55 x 1500 = 825

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Complete question:

In a school of 1500 students, 45% are girls. How many boys are in the school?

To draw the horizontal alignment for the curve on that shape on 12D, follow these steps:

Step 1: First of all, we have to determine the horizontal alignment for the curve. The horizontal alignment consists of a series of tangents, curves, and spirals.

Step 2: After that, we have to select the appropriate curve radius for the design speed, the superelevation, and the allowable sight distance.

Step 3: Next, plot the vertical curves with the curve layout. A design speed of 50 mph and a curve radius of 1200 ft will be used in this example.

Step 4: Next, we have to calculate the curve length using the formula Lc = Rθ. Here, Lc is the curve length, R is the radius, and θ is the curve angle. In this case, the curve angle is 4 degrees, so the curve length will be 83.775 ft.

Step 5: Then, we will plot the curve using a tangent-tangent-radius (TTR) method. The TTR method involves drawing a tangent to the curve's point of intersection, then drawing another tangent to the next point of intersection, and finally drawing the curve's arc with the given radius. This process is repeated until the curve's entire length is completed.

Step 6: Finally, label the horizontal and vertical curves, including the stationing and curve radius.

That's how we draw the horizontal alignment for the curve on that shape on 12D.

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Answer:

1st option: The slope of graph A is greater than B

Step-by-step explanation:

slope of A = 3/1

slope of B = 2/1

both graphs have the same y-intercept of zero

Answer:

24 : 56

Step-by-step explanation:

sum the parts of the ratio, 3 + 7 = 10 parts , then

80 ÷ 10 = 8 ← value of 1 part of the ratio , then

3 parts = 3 × 8 = 24

7 parts = 7 × 8 = 56

80 in the ratio 3 : 7 is 24 : 56

Answer:

\(dc = 7\)

The answer for DC = 7

Answer:

7.77777777778

Step-by-step explanation:

Answer:

7 7/9

Step-by-step explanation:

First convert all the fractions into improper ones.

Then, start to multiplying 7/3x2=14/3

Finally multiply 14/3x5/3=70/9

Simplify=7 7/9

Using proportions, it is found that the length each increase of 4 degrees Celsius is given by:

B.) 1/2 minute

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Looking at the graph, the increase is of 16 degrees in 2 minutes, hence the rate is given by:

r = 16/2 = 8 degrees per minute.

For 8 degrees, the time is given by:

t = 4/8= 1/2 minute, hence option B is correct.

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The missing length in the triangle is 56 cm.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation to find the value of missing length

p/21 = 24/9

Apply cross multiplication

9p=21×24

9p=504

Divide both sides by 9

p=56

Hence, the missing length in the triangle is 56 cm.

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Answer:

1/2 1/4 1/8 1/10

Step-by-step explanation:

Lcd = 20

1x5/4x5 + 1x4/5x4

5/20 + 4/20

5+4/20

9/20

Decimal Form 0.45

Answer:

im answering so he can have it :D

Step-by-step explanation:

Answer:

gdfhddfdhgbg

Step-by-step explanation: