Lilly made a 89 on her Math test. The test had 26 questions, how many questions did she miss?

1 answer:

6 0

She missed 3 questions,

11/100 equals x/26
^set up this proportion
you get 286 equals 100x
and x equals 2.86

round this to 3 questions

to check your work, do 23/26

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A certain pickup truck gets 20mpg in the city and 28 mpg on the highway. If the driver drives 270 mi on 11 gal of gas, determine

Snezhnost [94]

Answer:

95 city and 175 highway miles.

Step-by-step explanation:

The driver gets 20 mpg in city, and 28 mpg on the highway.

An equation that could be written is

20x+28y=270

This equation accounts for the distance traveled.

x+y=11

This equotion accounts for how many gallons were driven.

Multiply the bottom equation by 20, so you can solve the set of equations.

20x+28y=270

20x+20y=220

subtract them

8y=50

y=6.25

now plug this back into x+y=11

x+6.25=11

x=4.75

Now 4.75×20=95 city miles and 6.25×28=175 highway miles.

8 0

4 years ago

Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

dybincka [34]

Answer:

$P(t)=37\cdot 4^{t/9.1}$

Explanation:

This is an exponential growing: there is a constant growing factor which multiplies the value number of letters sent every week.

The growing factor 4 letters every 9.1 weeks means that every 9.1 weeks the number of letters is multiplied by 4.

Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.

Then, the exponential function that models the number of people who receive the email t weeks since Tobias initially sent the chain letter, has the form:

$P(t)=Initial\text{ }value\cdot 4^{(t/9.1)}$