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Hitman42 [59]
3 years ago
14

Pencils cost $.10 and erasers cost $0.25. steve bought 5 more pencils than erasers. he spent a total of $1.55. how many erasers

did steve buy?
Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

Let x be the number of pencils Steve bought.

Let y be the number of erasers Steve bought.

x=y+5

0.1x + 0.25y = 1.55

Solving the system, our answer is: (8, 3)

So, she bought 3 erasers.

Let me know if this helps!

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The directions state that should mix four ounces of fertilizer for every ten gallons of water. The tank holds 50 gallons of wate
Dmitry [639]

Answer:20 ounces of fertilizer

Step-by-step explanation:

3 0
2 years ago
Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.
Sauron [17]

Answer:

If you meant 9^x+4=11, then the answer is approximately 0.866.

If you meant 9^{x+4}=11, then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

9^x+4=11

First step is to get the exponential part by itself. The part that has the variable exponent which is the 9^x term.

To do this we need to subtract 4 on both sides:

9^x=11-4

Simplify:

9^x=7

The equivalent logarithmic form is:

\log_9(7)=x

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing \log_b(a) in your calculator you need to use the change of base formula.

\frac{\log(7)}{\log(9)}=x

So x \approx 0.8856

I don't see this as a choice so maybe you actually meant the following equation:

9^{x+4}=11

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

\log_9(11)=x+4

Now we subtract 4 on both sides:

\log_9(11)-4=x

Again if you don't have the option for computing \log_b(a) in your calculator, you will have to use the change of base formula:

\frac{\log(11)}{\log(9)}-4=x

x \approx -2.909

6 0
3 years ago
At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be
Bess [88]

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

tan( \pi/3) = \frac{h}{20} \\h = 20*1.73205\\h=34.64\ ft

The building is 34.64 ft tall

8 0
3 years ago
Josh walks 18 dogs each week. today he is walking 1/3
Nastasia [14]
The answer is 6 because you do this


1/3 of 18 divide 18 by 3 amd get 6
7 0
2 years ago
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W + 3/2 &lt; -8<br><br> Can you help me please?
RUDIKE [14]
I hope this helps you




w +3 < -8.2


w < -16-3


w < -19
3 0
3 years ago
Read 2 more answers
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