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True [87]
3 years ago
15

Tanisha opened a bank account. She deposited $74.50 into her account every month for 10 months. She used $32.50 every month to p

ay for painting classes. After 10 months, she used 1 over 2 of the total money left in her account to go to a summer camp for painters. What is the total amount of money Tanisha spent to go to the summer camp?
Mathematics
2 answers:
Hoochie [10]3 years ago
8 0
She uses $210 because 74.50 x 10 = 745 and 32.50 x 10 = 325. Subtract the money she takes out every month on classes from the amount she puts in, 745 - 325 = 420. Then you would divide 420 by 2 because half of 420 is what she uses on the camp
Alona [7]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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Simplify 2x^2-7x-4/x^2
kvv77 [185]

Answer:

Option 1

Step-by-step explanation:

\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}

4 0
1 year ago
Is the following sequence arithmetic? If so, identify the common difference. 2.9, 2.7, 2.5, 2.3,
Alenkasestr [34]
The common difference is -2
3 0
3 years ago
Read 2 more answers
Is (x-4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
Virty [35]

Answer:

(x-4) is not a factor of f(x)=x³-2x²+5x+1

Step-by-step explanation:

Uding the remainder theorem,(x-4) is a factor if the remainder is 0

Plug in x=4

(4)³-2(4)²+5(4)+1

64-32+20+1

64-53

11

7 0
2 years ago
The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
10 months ago
cynthia besch wants to buy a rug for a room that is 14ft wide and 23 ft long. She wants to leave a uniform strip of floor around
choli [55]
The room is 14w and 23 l

she can buy up to 190 sqft

190 factors into 10 and 19

14 - 10 = 4
23 - 19 = 4
Which are uniform

so the answer is 10 ft wide and 19 ft long

Hope this helps


8 0
2 years ago
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