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Mekhanik [1.2K]
4 years ago
10

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

Mathematics
1 answer:
anygoal [31]4 years ago
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<em> factor </em>which multiplies the value number of letters sent every week.

The growing factor <em>4 letters every 9.1 weeks</em> 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<em> function</em> <em>that models the number of people who receive the email t weeks since Tobias initially sent the chain letter</em>, has the form:

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

<em>Tobias initially sent the chain letter to 37 friends</em>; thus, the initial value is 37, and the complete function is:

        P(t)=37\cdot 4^{t/9.1}, where t is the number of weeks since Tobias initially sent the chain letter.

7 0
4 years ago
Answer Options: Left or right
jekas [21]
Right, Left
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
5 0
3 years ago
The shaded octagon is transformed to the unshaded octagon in the coordinate plane below.
posledela

Answer:

A

Step-by-step explanation:

7 0
4 years ago
What is the volume of the prism given below?
bija089 [108]

Answer:

C. 456 cubic units

Step-by-step explanation:

The bases of this prism are two right trianles with legs 6 units and 8 units. The area of the base is

A_{base}=\dfrac{1}{2}\cdot \text{leg}_1\cdot \text{leg}_2\\ \\A_{base}=\dfrac{1}{2}\cdot 6\cdot 8=24\ un^2.

The volume of the prism is

V=A_{base}\cdot H

The height of the prism is 19 units, so

V=24\cdot 19=456\ un^3

8 0
3 years ago
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