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3 years ago

7

Eric takes a train to his parent’s house 320 miles away. If the trip takes 4 hours, what is the unit rate of the train?

1 answer:

Rasek [7]3 years ago

3 0

Answer:

80 miles per hour

Step-by-step explanation:

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A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330.

Firdavs [7]

Solutions

There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs

Equation # 1

x + y = 86

This says that t<span>he vendor sold 86 items.

</span>Equation # 2

2x + 5y = 330

= $2 for each lemonade
= $5 for each hot dog.

= total amount earned is $330.

Only these two equations are true and needed.

3 0

3 years ago

Read 2 more answers

I need help with number 4

Anit [1.1K]

This is from mathstudent55 but btw when you put an answer they go here xd

51/3 = 17: not prime; 55/5 = 11: not prime; 57/3 = 19: not prime. 53 is divisible by only 1 and 53. 53 is a prime number.

4 0

2 years ago

Please help with 15, 17 and 19

Irina-Kira [14]

Given:

15. $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

17. $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

19. $2^{\log_2100}$

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

Using property of logarithms, we get

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$ is 1.

17. We have,

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

Using properties of logarithms, we get

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)$ $[\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]$

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$ is -1.

19. We have,

$2^{\log_2100}$

Using property of logarithms, we get

$2^{\log_2100}=100$ $[\because a^{\log_ax}=x]$

Therefore, the value of $2^{\log_2100}$ is 100.

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Calculate the slant height for the given square pyramid. Round to the nearest tenth.

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