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earnstyle [38]
3 years ago
13

Serena bought a total of 135 notebooks and pencils for her students. Each notebook cost $1.75, and each pencil cost $0.35. The t

otal cost of her purchase was $122.85. How many pencils did Serena buy?
Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

81 pencils is the answer

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What equation can be used to find the length of AC
Leno4ka [110]
I'm pretty sure this is the answer:
(10)sin(40°) = AC

It's <em>sin </em>becasue it <em>needs </em>the opposite side of 40° and <em>has </em>the hypotenuse. 
5 0
3 years ago
B is the midpoint of ac. Ab = x+9 and bc = 3x-7 find x and ac
natali 33 [55]

To solve this problem, we need to know 2 relationships:

<h2>1. AC = AB + BC</h2>

The distance of AC is the sum of AB and BC.

AC = AB + BC

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

<h2>2. AB = BC</h2>

The distance of AB is the same as AC.

AB = BC

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

<h2>Putting them together</h2>

Since we know the values of AB and BC...

AB = x+9\\BC = 3x-7

...we can put these values into our 2nd equation and solve for x:

AB = BC\\x + 9 = 3x -7

Add 7 to both sides:

x + 16 = 3x

Subtract x from both sides:

16 = 2x

Divide both sides by 2:

8 = x\\x = 8

Knowing x, we can find the distance of AC using our first equation.

AC = AB + BC

Let's put in the values of AB and BC:

AC = (x+9) + (3x-7)

Before we put in x = 8, we can simplify this:

AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

AC = 4x +2\\AC = 4*8 + 2

Since 4 * 8 = 32:

AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34

Finally, we have found both x and AC.

<h2>Answer</h2>

x = 8

AC = 34

7 0
3 years ago
Find the missing side.
schepotkina [342]

Answer:

2 units

Step-by-step explanation:

x= 2×4/4 = 2 units

5 0
3 years ago
a rectangle has an area of 102 cm2. the length of the rectangle is 17 cm. what is the perimeter of the rectangle?
Kruka [31]
Area = length *width 

102 = 17*w

w = 102/17 = 6 

l=17
w=6

perimeter = 2l +2w
p = 2(l+w)
p=2*23

p = 46 cm 

hope helped 
4 0
3 years ago
What expressions represent 5/6 × 5
pickupchik [31]

Answer:

5 \div 6 \times 5 = 25\div 6

<h2>25/6 <em>is </em><em>the </em><em>Answer</em></h2>
7 0
2 years ago
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