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PtichkaEL [24]
3 years ago
7

Jason has $90 to spend. He wants to purchase a bag for $30, one eraser for $10, and three pencils. Each of the pencils costs the

price. This will use up all of Jason’s money. Determine the price of a pencil. Show the equation used to work the problem.
Mathematics
2 answers:
snow_tiger [21]3 years ago
4 0
90 = 30+10+3x

This equation shows that all the prices of the the bag, eraser, and pencils equals $90. So now all we have to do to find the price of a pencil is solve the equation.

First add the 30 and 10 together.

90 = 40+3x

Then subtract 40 from each side

50 = 3x

Lastly divide each side by 3

x = 16.67

The price per pencil is $16.67

Hope this helps!
Vitek1552 [10]3 years ago
4 0
Well if Jason bought a bag for $30, and an eraser for $10, that will equal $40. So he has $50 left. So you divide by 3. 50÷3=16.66. So each pencil costs $16.66.
16.66. 49.98
× 3. + 40. 89.98 rounded up equals 90
--------- ----------
49.98. 89.98
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hram777 [196]

Answer:

The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.

Step-by-step explanation:

Let's say Carol's fish is c inches long, Ann's is a inches long, and Liz's is l inches long. Then:

c = 5 + a

l = 9 + 2a

a = 12

Plug 12 in for a to find c and l:

c = 5 + a = 5 + 12 = 17 inches

l = 9 + 2a = 9 + 2 * 12 = 9 + 24 = 33 inches

Thus:

The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.

6 0
2 years ago
Use the diagram to fill in the blanks<br> x=<br> m∠=
faust18 [17]

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

8 0
2 years ago
Easy question easy points
Deffense [45]

Answer:

y = - 4x - 8

Step-by-step explanation:

From the graph we get :

slope = (-8)/2 = -4

y-intercept = -8

8 0
3 years ago
Read 2 more answers
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
3 years ago
Which of the following illustrates the truth value of the following conditional?
insens350 [35]

The truth table for implication of the equations is F F ⇒ T

<h3>What is a truth table?</h3>

A truth table is a mathematical logic table that shows the truth values of different logic statements combined by a given logic rule.

Analysis:

P: 7 +1 is not equal to 0 making P to be false(F)

q: 2+2  is not equal to 5 making q to be false(F)

so for conditional or implication, F F⇒ T

Learn more about truth tables: brainly.com/question/14458200

#SPJ1

4 0
2 years ago
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