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s2008m [1.1K]
3 years ago
7

Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale

and decided to buy some. Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil? What is the cost of one eraser?
Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

Cost of one pencil: \$0.07

Cost of one eraser: \$0.03

Step-by-step explanation:

Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.

Based on the information given in the exercise, you can set up the following system of equations:

\left \{ {{4p+3e=0.37} \atop {3p+4e=0.33 }} \right.

You can use the Elimination Method to solve the system of equations.

Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":

{\left \{ {{-12p-9e=-1.11} \atop {12p+16e=1.32}} \right.\\..........................\\7e=0.21\\\\e=0.03

Substitute the value of "e" into any original equation  and solve for "p":

4p+3(0.03)=0.37\\\\p=\frac{0.28}{4}\\\\p=0.07

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Tara ran the 1600 M event at a constant speed in 5 minutes and 20 seconds. what was her speed
ollegr [7]

5 m/sec or 300m / min

using speed = \frac{distance}{time}

change 5 min 20 sec to seconds = (5 × 60) + 20 = 320 sec

speed = \frac{1600}{320} = 5m / second or

speed = 60 × 5 = 300m / minute



4 0
3 years ago
Zara walked 3/4 mile in 30 minutes. How long will it take her to walk 2 miles?
Talja [164]

Answer:

80 minutes

Step-by-step explanation:

(3/4)/30=2/x

cross product

30*2=(3/4)x

60=3/4x

x=60/(3/4)

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3 years ago
Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a f
Reil [10]

Answer:

\large\boxed{a(V)=\sqrt{\dfrac{3V}{8}}}

Step-by-step explanation:

The formula of a volume of a square pyramid:

V=\dfrac{1}{3}a^2h

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h - height of a pyramid

We have H = 8in.

Substitute and solve for a:

\dfrac{1}{3}a^2(8)=V\\\\\dfrac{8}{3}a^2=V\qquad\text{multiply both sides by}\ \dfrac{3}{8}\\\\\dfrac{3\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}\cdot\dfrac{8\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}a^2=\dfrac{3}{8}V\\\\a^2=\dfrac{3V}{8}\Rightarrow a=\sqrt{\dfrac{3V}{8}}

3 0
3 years ago
Jack invested $2,900 in an account paying an interest rate of 8 % compounded
damaskus [11]

Answer: $628

Step-by-step explanation:

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3 years ago
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Arada [10]

Answer:

Step-by-step explanation:

56 divided by 8 . 56/8. 56/8 = 7

8 0
3 years ago
Read 2 more answers
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