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3 years ago

18 POINTS HELLLPPPpppppppppp

Mathematics

1 answer:

anygoal [31]3 years ago

3 0

26 and 151? Because im confused to death srry if it doesnt help. I tryed.

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When light can travel into a material but cannot travel through the material, it is called absorption

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A dance studio offers ballet and hip-hop classes. The studio has 8 ballet classes for every 12 hip-hop classes. How many hip-hop

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There are 1 1/2 hip hop classes for 1 ballet class.

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3 years ago

Read 2 more answers

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

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brainly.com/question/28350785

5 0

1 year ago

2 factor of 28 added up to 9

kaheart [24]

I think its 14 because in order to get to 28 but 2 you count 14 times saying 2×14

5 0

3 years ago

Two train leave stations 210 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour w

Brrunno [24]

SOLUTION

At the same time t,

Train 1 would have covered a distance of 80t, since distance = average speed x time.

Train 2 would have covered a distance of 70t.

Now both added should give 210 miles

That is 80t + 70t = 210

150t = 210

t = 210/150

t = 1.4 hours

3 0

1 year ago