Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?

Answer:

CD = 7

Step-by-step explanation:

Given that the triangles are congruent, then corresponding sides are congruent, that is

CD = AB , substitute values

3y + 1 = 15 - 4y ( add 4y to both sides )

7y + 1 = 15 ( subtract 1 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Thus

CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7

Answer:

2.275%

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)SD

here, x = 70.5

mean = 65.5

SD = 2.5

Substituting these values;

z = (70.5-65.5)/2.5

= 5/2.5 = 2

So we want to calculate the probability that;

P( z> 2)

We check the standard normal distribution table for this

That will be

0.02275

In percentage, this is 2.275 %

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

Answer:

look at graph

Answer: -5 1/2 or -5.5

Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2

Answer:

Point B is located at -5.5

Step-by-step explanation:

Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5

I hope this helped to answer your question.  

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Answer:

2x+4y=150

Step-by-step explanation:

Top answer is right as it is shown in the picture below!

Step-by-step explanation:

I think it's 48 square units

[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]

Answer:

[tex]\huge\boxed{3x+y=23}[/tex]

Step-by-step explanation:

First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.

Since we know the slope, but not the y-intercept, we can start to fill in what we already know.

[tex]3x+y=c[/tex]

Therefore to finish this equation, we must find the y-intercept.

Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.

2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.

This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.

[tex]3x+y=23[/tex]

Hope this helped!

Answer:

slope: 0

y-intercept:(0,49)

Step-by-step explanation:

Hope this helps!

Answer:

SLOPE: 0

Y -INTERCEPT: 49

Step-by-step explanation:

y = -32 - 17 (collect like terms)

y = 49

The slope would be zero because it doesn't have an x-intercept.

The line would look like this..

49 -------------------------------------------- completely flat like the floor so zero slope.

HOPE THIS HELPS!1

Answer:

7x+1

Step-by-step explanation:

Use the distributive property to multiply 7 by x−1.

7x−7+8

Add −7 and 8 to get 1.

7x+1

Answer:

The Length of rectangle is 87 yards.

Step-by-step explanation:

Let width = w

Length = 3w-18

Perimeter of rectangle = 244 yards

We need to find length of rectangle.

First we need to find value of w

The formula used will be: [tex]Perimeter=2(length+width)[/tex]

Putting values and finding w

[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]

So, w= 35

The width of rectangle w = 35 yards

The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.

So, the Length of rectangle is 87 yards.

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

Answer:

98-45/17=3.11

Step-by-step explanation:

Thanks for the points

Answer:

2:5

Step-by-step explanation:

Simplify

Answer:

It Would be C (the third one)

Step-by-step explanation:

Please mark me Brainlyest PLZ

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.

Answer:

yes, the slope is the same throughout the table

Step-by-step explanation:

Answer:

Yes, the graph shown is a proportional relationship.

Step-by-step explanation:

If you divide the distance (6) by the time (1) you get the same thing (6). Repeat for all the terms in the graphs. Since 6/1 is 6, 12/2 is 6, 18/3 is 6 and 24/4 is 6, The relationship is proportional.

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x

Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1

Perimeter of a rectangle = 2(length + breadth)

50 = 2(2x + 1 + x)

50 = 2(3x + 1)

50 = 6x + 2

6x = 50 - 2

6x = 48

x = 48/6

x= 8

Width = 8ft

Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft

Area = Length × Width = 17 × 8 = 136ft^2

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.

Answer:

Ans. 41

Step-by-step explanation:

By using the formula of pythagoras theorem,

h^2 = p^2+b^2

or, h = sqrt(9^2+40^2)

or, h = sqrt(81+1600)

or, h = sqrt(1681)

or, h = sqrt(41^2)

or, h = 41 #