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Natasha2012 [34]
2 years ago
12

A bookshelf at a library holds 156 books. There are 15 bookshelves in the children's

Mathematics
2 answers:
Leokris [45]2 years ago
8 0

Answer:

10

Step-by-step explanation:

i just divided the two

Alona [7]2 years ago
4 0

Answer:

2,340

Step-by-step explanation:

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You need to buy 30 pounds of hamburger and 15 packages of buns for a staff-appreciation picnic. You have 2 options for hamburger
son4ous [18]

We have to determine the best cost after all discounts and tax.

Hamburger:

1 pound of Open Acres = $2.39

30 pounds of Open Acres = 30 \times \$2.39 = \$71.7

10% off is provided if we buy at least 10 pounds of Open Acres, we bought 30 pounds. So, we get 10% off.

10% off on 30 pounds of Open Acres Hamburgers = 10% of $71.7

= \frac{10}{100} \times 71.7 = 7.17

Total cost of 30 pounds of Open Acres Hamburgers = $71.7 - $7.17

=$64.53

Buns:

1 packet of Burly buns = $1.93

15 packets of Burly buns = 15 \times \$1.93

=$28.95

5% off on 15 packets of Burly buns = 5% of $28.95

= \frac{5}{100} \times 28.95 = \$1.4475

Total cost of 15 packets of Burly buns = $28.95 - $1.4475

=$27.50

Now, according to the question, a 10%-off coupon that can be used on either the hamburger or the buns, but not both, after any other discounts are applied.

Let us apply 10% off applied on Hamburgers:

10% of $64.53

=\frac{10}{100} \times 64.53 = \$6.453

Now, total cost of hamburgers after all the discounts = $64.53-$6.453

= $58.077

And total cost of Buns after all the discounts = $27.50

Total price of hamburgers and buns = $58.077 + $27.50

= $85.577

5% tax applied on total price of hamburgers and buns = 5% of $85.577

= $4.28

Best cost on the purchase of hamburgers and buns = $85.577 + $4.28

= $89.857

Rounding to the nearest hundredth dollar, we get

Best cost on purchase of 30 pounds of hamburgers and 15 packets of buns after all discounts and tax = $89.86

4 0
2 years ago
Read 2 more answers
Please please answer please
arsen [322]

Answer:

C. 180 degrees

Step-by-step explanation:

The sum of a triangle's interior angles is equal to 180

7 0
2 years ago
Write the equation of a line with a slope of −2 and a y-intercept of 5
Aleonysh [2.5K]
Y or f(x) = -2x+5

the slope goes with the variable (x) and when the value of x is entered it makes a line, and the y-intercept is next to show where the point is on the y - line
8 0
3 years ago
LOTS OF POINTS GIVING BRAINLIEST I NEED HELP PLEASEE
Sidana [21]

Answer:

Segment EF: y = -x + 8

Segment BC: y = -x + 2

Step-by-step explanation:

Given the two similar right triangles, ΔABC and ΔDEF, for which we must determine the slope-intercept form of the side of ΔDEF that is parallel to segment BC.

Upon observing the given diagram, we can infer the following corresponding sides:

\displaystyle\mathsf{\overline{BC}\:\: and\:\:\overline{EF}}

\displaystyle\mathsf{\overline{BA}\:\: and\:\:\overline{ED}}

\displaystyle\mathsf{\overline{AC}\:\: and\:\:\overline{DF}}

We must determine the slope of segment BC from ΔABC, which corresponds to segment EF from ΔDEF.

<h2>Slope of Segment BC:</h2>

In order to solve for the slope of segment BC, we can use the following slope formula:

\displaystyle\mathsf{Slope\:(m)\:=\:\frac{y_2 \:-\:y_1}{x_2 \:-\:x_1}}  }

Use the following coordinates from the given diagram:

Point B:  (x₁, y₁) =  (-2, 4)

Point C:  (x₂, y₂) = ( 1,  1 )

Substitute these values into the slope formula:

\displaystyle\mathsf{Slope\:(m)\:=\:\frac{y_2 \:-\:y_1}{x_2 \:-\:x_1}}\:=\:\frac{1\:-\:4}{1\:-\:(-2)}\:=\:\frac{-3}{1\:+\:2}\:=\:\frac{-3}{3}\:=\:-1}

<h2>Slope of Segment EF:</h2>

Similar to how we determined the slope of segment BC, we will use the coordinates of points E and F from ΔDEF to find its slope:

Point E:  (x₁, y₁) =  (4, 4)

Point F:  (x₂, y₂) = (6, 2)

Substitute these values into the slope formula:

\displaystyle\mathsf{Slope\:(m)\:=\:\frac{y_2 \:-\:y_1}{x_2 \:-\:x_1}}\:=\:\frac{2\:-\:4}{6\:-\:4}\:=\:\frac{-2}{2}\:=\:-1}

Our calculations show that segment BC and EF have the same slope of -1.  In geometry, we know that two nonvertical lines are <u>parallel</u> if and only if they have the same slope.  

Since segments BC and EF have the same slope, then it means that  \displaystyle\mathsf{\overline{BC}\:\: | |\:\:\overline{EF}}.

<h2>Slope-intercept form:</h2><h3><u>Segment BC:</u></h3>

The <u>y-intercept</u> is the point on the graph where it crosses the y-axis. Thus, it is the value of "y" when x = 0.

Using the slope of segment BC, m = -1, and the coordinates of point C, (1,  1), substitute these values into the <u>slope-intercept form</u> (y = mx + b) to solve for the y-intercept, <em>b. </em>

y = mx + b

1 = -1( 1 ) + b

1 = -1 + b

Add 1 to both sides to isolate b:

1 + 1 = -1 + 1 + b

2 = b

Hence, the <u><em>y-intercept</em></u> of segment BC is: <em>b</em> = 2.

Therefore, the linear equation in <u>slope-intercept form of segment BC</u> is:

⇒  y = -x + 2.

<h3><u /></h3><h3><u>Segment EF:</u></h3>

Using the slope of segment EF, <em>m</em> = -1, and the coordinates of point E, (4, 4), substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b. </em>

y = mx + b

4 = -1( 4 ) + b

4 = -4 + b

Add 4 to both sides to isolate b:

4 + 4 = -4 + 4 + b

8 = b

Hence, the <u><em>y-intercept</em></u> of segment BC is: <em>b</em> = 8.

Therefore, the linear equation in <u>slope-intercept form of segment EF</u> is:

⇒  y = -x + 8.

8 0
2 years ago
Breanna wrote a number that is 4 units from 0 on the number line.
Hatshy [7]
The two answers are -4 and 4, because 0-4 is -4 and 0+4 is 4. Hope this helps
5 0
2 years ago
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