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:

:P

Step-by-step explanation:

Answer:

75 single servings

Step-by-step explanation:

First multiply

40*5/8

You’ll get 25

now 40-25=15

Using 15

15 divided by 1/5

15÷1/5

keep change flip

15*5

75

Answer:

75 servings

Step-by-step explanation:

1. Form an equation

As per the given information;

- starts with 40 cups of juice

- uses 5/8 of the juice

-Splits the remaining serving amongst people, giving each person (1/5) of a cup

Hence the equation is;

(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]

2. Solve the equation

(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]

Simplify;

(40 - 25) ÷ [tex]\frac{1}{5}[/tex]

Dividing by a fraction is the same as multiplying by the fraction's reciprocal;

(40 - 25) * 5

Follow the order of operations, remember the order of operations are;

1. parenthesis

2. exponents

3. multiplication, division

4. addition, subtraction

Parenthsis first

(40 - 25) * 5

15 * 5

Multiply next

15 * 5

75

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Answer:

Step-by-step explanation:

94.95-19.95= 74.00

74.00/ 0.30 = about 246 text messages

Answer:

Step-by-step explanation:

Let the number of text messages be x.

We have following equation as per given:

Answer: 250 text messages

Not sure if this is the answer but this is what I got

Answer: y= 4/25 x

Answer:

The answer is 576

Answer: 512

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

on a number line -10 is further right than -65.

Answer:

True -10 is closer to 1 the -65

Step-by-step explanation:

Answer:

$117.33

Step-by-step explanation:

1 1/8 = 1 + 1/8 = 8/8 + 1/8 = 9/8

She paid 9/8 what she paid the last time.

Let the amount she paid last time equal x.

$132 is 9/8 of x.

9/8 x = 132

8/9 * 9/8 x = 132 * 8/9

x = 117.33

She paid $117.33

Answer:

You would need to sell 24 pizzas

Step-by-step explanation

132/44= 3

Take the 3 and times it by 8

3 x 8 = 24

You would need to make 24 pizzas

Each pizza is 5.50$

So an equation for this could be

5.50x P = C

P = Pizza

and C is the cash you earned

I hope this helps

Answer:

6x-3

Step-by-step explanation:

Let f(x) = x, and x=f(x) .

Re arrange to find formula. I.e

[tex] x = \frac{f(x) + 3}{6} \\ 6x = f(x) + 3 \\ f(x) = 6x - 3[/tex]

The expression is equivalent to 1

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given:

2cos²(x/2) - cos(x)

We know

cos x= 2cos²(x/2) + 1

2cos²(x/2) = cos x +1

Then,

2cos²(x/2) - cos(x)

=  cos x +1 - cos x

=1

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Answer: B.1

Step-by-step explanation:

I did it on edge

Answer: 24%

Step-by-step explanation:

Answer:  0.24%

Step-by-step explanation: i hope this helps have a blessed day

Step-by-step explanation:

this answer will be 15 I think

9514 1404 393

Answer:

  4(2x +5y)

Step-by-step explanation:

The variables x and y have no common factors. The coefficients 8 and 20 have a common factor of 4. So, the expression can be written ...

  4(2x +5y)

Answer:

a=7.75

Step-by-step explanation:

19 = 4a − 12. 19+12=31. 31/4=7.75

Answer:

7.75

Step-by-step explanation:

19 = 4a - 12

add 12 to both sides

31 = 4a

divide by 4 to isolate the variable

7.75 = a

Answer:

She saved 25%

Step-by-step explanation

(100 * 6) /24 = 25

Answer: C

Step-by-step explanation: just did the quiz

Using function concepts, it is found that the range of the inverse function is:

[tex]y \geq 5[/tex]

In the original function, x assumes values in the interval [tex]x \geq 5[/tex], hence, in the inverse function, the values assumed by y, which is the range, is [tex]y = \geq 5[/tex]

A similar problem is given at https://brainly.com/question/18907176

Answer:

What is the problem??? If you didn't need an actual problem solved I said how to do it.

Step-by-step explanation:

You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.

I hope this helps UwU

Answer:

2

Step-by-step explanation:

Answer:

The solution set is (2,4).

Step-by-step explanation:

Given that:

−2x + 2y =4         Eqn 1

−4x + 8y =24      Eqn 2

Multiplying Eqn 1 by -2

-2(-2x+2y=4)

4x-4y= -8     Eqn 3

Adding Eqn 2 and 3

(-4x+8y)+(4x-4y)=24-8

-4x+8y+4x-4y=16

4y=16

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]

Putting y=4 in Eqn 1

-2x+2(4)=4

-2x+8=4

-2x=4-8

-2x=-4

Dividing both sides by -2

[tex]\frac{-2x}{-2}=\frac{-4}{-2}\\x=2[/tex]

Hence,

The solution set is (2,4).

Answer:

i believe its the second ave

Parallel lines are those lines that are always the same distance apart and parallel lines do not intersect or meet each other.

The street that is parallel to 1st Ave is 2nd Ave.

Parallel lines are those lines that are always the same distance apart and parallel lines do not intersect or meet each other.

Example:

Line A and Line B have an angle of zero between each other.

This means Line A and Line B are parallel to each other.

We have,

Five streets:

1st ave

2nd ave

Central ave

D steet

Main road

Now,

Central Ave and the main road are parallel to each other.

1st Ave and 2nd Ave are parallel to each other.

D Street is perpendicular to 1st Ave and 2nd Ave.

Central Ave and Main Road are also perpendicular to 1st Ave and 2nd Ave.

We see that,

The street that is parallel to 1st Ave is 2nd Ave.

Thus,

The street that is parallel to 1st Ave is 2nd Ave.

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See attachment for math work and answer.

The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.

Given that, in an xy-coordinate system, line l has a slope of -3. If the points (2, 16) and (5, t) are on line l.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Now, substitute m=-3, (x1, y1)=(2, 16) and (x2, y2)=(5, t) in slope formula, we get

-3 =(t-16)/(5-2)

⇒ -3 =(t-16)/3

⇒ t-16=-9

⇒ t=7

The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.

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p=2(l+b) =2(3x-3) =6x=48=x=8

Answer: It’s 8

Step-by-step explanation:

Answer:

w=6 in

l=3 in

Step-by-step explanation:

let w = width and length be 'w-3'

Two sides of w and two sides of (w-3) equal 18 sq in

18=2(w)+2(w-3)

18=2w+2w-6

4w=24

w=6

The width of rectangle is, 6 in.

And, Length of rectangle is 3 in.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The length of a rectangle is 3 inches less than its width

And, the area of the rectangle is 18 in.²

Now, We know that;

Area of rectangle = Length × Width

Let the width of rectangle = x

Hence, Length of rectangle = x - 3

Thus, We get;

Area of rectangle = Length × Width

18 = x (x - 3)

18 = x² - 3x

x² - 3x - 18 = 0

x² - (6 - 3)x - 18 = 0

x² - 6x + 3x -18 = 0

x(x - 6) + 3 (x - 6) = 0

(x - 6) (x + 3) = 0

x = 6 , x = - 3

But dimensions are not negative.

Hence, We get;

x = 6

Thus, the width of rectangle = 6 in.

Hence, Length of rectangle = x - 3

                                           = 6 - 3 = 3 in.

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Answer:

Edg: A - (-8,-6)

Step-by-step explanation:

Using vector concepts, it is found that the component form of u - v is (-8,-6), option a.

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

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

Thus, the component form of vector u is:

[tex]u = (3,-2) - (6,8) = (3-6, -2-8) = (-3,-10)[/tex]

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

Thus, the component form of vector v is:

[tex]v = (1,-7) - (-4,-3) = (1 - (-4), -7 - (-3)) = (1 + 4, -7 + 3) = (5,-4)[/tex]

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

The subtraction of vectors u and v is the subtraction of it's components, thus:

[tex]u - v = (-3,-10) - (5, -4) = (-3 - 5, -10 - (-4)) = (-8, -10 + 4) = (-8,-6)[/tex]

The component form of u - v is (-8,-6), option a.

A similar problem is given at https://brainly.com/question/16407090

Answer:6.7

Step-by-step explanation: Just divide 80 by 12 you get 6.6 so round up