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jeka94
3 years ago
10

Anna has 60 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many penn

ies as dimes, how many pennies are in her piggy bank?
Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0
43 Penney’s and $6
43-6
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Factor Trinomials:
notka56 [123]

Answer:

1. 2(x+2)(x+5)

2. 8(x+4)^{2}

Step-by-step explanation:

<u>Problem #1:</u>

1. Find the GCF (Greatest Common Factor)

GCF = 2

2. Factor out the GCF and simplify.

2(x^{2} +7x+10)

3. Factor x^{2} +7x+10

<u>Which two numbers add up to 7 and multiply to 10?</u>

2 and 5

<u>Rewrite the expression using the above.</u>

(x+2)(x+5)

4. Done!

2(x+2)(x+5)

<u>Problem #2:</u>

1. Find the GCF (Greatest Common Factor)

GCF=8

2. Factor out the GCF and simplify.

8(x^{2} +8x+16)

3. Use the perfect square formula. a^{2} +2ab+b^{2} =(a+b)^{2}

a = x\\b=4

(x+4)^{2}

4. Done!

8(x+4)^{2}

8 0
2 years ago
Can someone please help me?
larisa86 [58]

We know that a triangle equals 180 degrees in total. We also know one of the angles so we can do 180-84= 96. This means that the other two angles must be equal to 96 degrees. We then set up (x+59)+(x+51)=96 "since both of the angles must add up to 96." Then we add like terms and get 2x+110=96. Further simplification gives us x= -7. Plug this into both angles and you get that angle A is 44 degrees.

8 0
3 years ago
Write the equation of the circle centered at (3, 5) and tangent to x = -1. I need help pleasse
Annette [7]

Answer:

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given (h, k ) = (3, 5 ) we require to find r

r is the distance from the centre to a point on the circle

given x = - 1 is a tangent the r is the distance between the x- coordinates

r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4

then equation of circle is

(x - 3)² + (y - 5)² = 4² , that is

(x - 3)² + (y - 5)² = 16

7 0
2 years ago
I’m thinking the answer should be B right ??
laiz [17]

Hello!

The formula for the volume of a sphere is \frac{4}{3} \pi r³.

Let's plug in our radius.

\frac{4}{3} \pi (1,000)

As we are not looking for an exact answer,we can look for an answer in terms of pi. Maybe we could multiply our fraction by 1,000.

\frac{4000}{3} \pi

Therefore, our answer is D.

I hope this helps!

7 0
3 years ago
Factor the algebraic expression. 40a+5
Vitek1552 [10]

Answer:

5 (8a + 1)

Step-by-step explanation:

Since they both can be factored by 5 you would divide both by 5 and get 8 and 1.

7 0
3 years ago
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