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Svetlanka [38]
3 years ago
6

Mary makes trail mix with bulk nuts and dried fruit. She spends $4.50 on the dried fruit. Mixed nuts cost $2.50 per pound. She h

as a total of $12 to spend. What are the possible number of pounds of nuts she can buy?
Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Answer: 3 pounds

Step-by-step explanation: 12 - 4.50 = 7.50 7.50/2.50=3

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If f(x)=x squared + 3x+5 what is f(a+h)
zheka24 [161]

Answer:

a² + 2ah + 3a + 3h + 5 + h²

Step-by-step explanation:

to evaluate f(a + h) substitute x = a + h into f(x)

f(a + h)

= (a + h)² + 3(a + h) + 5 ← distribute

= a² + 2ah + h² + 3a + 3h + 5



8 0
3 years ago
Multiply (1.4 x 10^2) x (2.0 x 10^-5)
Mars2501 [29]

Answer:

2.8 x 10^-3

Step-by-step explanation:

5 0
3 years ago
What is the equation of a line that passes through point r(−3, 5) and has a slope of 4?
nexus9112 [7]
The equation of any line is:
y=mx+b  m is slope.

We just need to put inside of equation x=(-3) and y=5:
5=4*(-3)+b
17=b

It follows that equation of a line is:
y=4x+17
4 0
3 years ago
On a number line, point D is at -3, and point E is at 6. The point F lies on DE. The ratio of DF to FE is 2:3. Where does point
expeople1 [14]

Answer: point F is at <u>   0.6   </u> on the number line

=============================================================

Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

5 0
2 years ago
Simplify 36x^4 42x^7
Alja [10]
The first step to simplify this equation is to multiply the numbers
1512x^{4}×x^{7}
next,, youll multiply the terms with the same base by adding their exponents
1512x^{4+7}
finally,, youll add the numbers together
1512x^{11}
since you cant simplify any further,, the correct answer to your question is 1512x^{11}
let me know if you have any further questions
:)
4 0
3 years ago
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