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N76 [4]
3 years ago
8

Hailey bought a 9 ft piece of ribbon that she will cut into 2/3 ft long pieces. How many 2/3 ft pieces can Hailey cut?

Mathematics
1 answer:
Volgvan3 years ago
8 0

Answer:

13.5

Step-by-step explanation:

9Ft / (2/3) ft = 13.5

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Write the equation of a line Parallel to the given line and passes through points (-4, -3); (2, 3). Hints find the slope by usin
julia-pushkina [17]

First, we obtain the gradient (slope) of the first parallel line

\text{gradient, m}_1\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{3-(-3)}{2-(-4)}=\frac{6}{6}\text{ = 1}

Recall that since both lines are parallel, we have that,

m_1=m_2

Thus

m_2\text{ = 1}

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)

Using

\begin{gathered} y\text{ = mx + c} \\ \text{where m = m}_2\text{ = 1} \\ \text{and x = -4 ,  y = -3, we have} \\ -3\text{ = 1(-4) + c} \\ -3\text{ = -4 + c} \\ 4\text{ - 3 = c} \\ c\text{ = 1} \\ \text{Thus, the equation of the line is y = (1)x + 1} \\ y\text{ = x + 1} \end{gathered}

5 0
1 year ago
Can I get help with these too? Thank you!!!!!
Anastasy [175]
For ABC:

The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54

The measure of angle ABC = x - 5 = 54 - 5 = 49

For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21

The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
7 0
3 years ago
jamal is going to borrow 14000 from his credit union to buy a used car. the APR is 7.0% and the length of the loan is 4 years. h
ELEN [110]
The formula to use here would be:

A = P(1+r)^t  where P is the principal (starting) amount, r is the rate of interest, and t is time. Knowing this, plug in your values:

A = 14,000(1+0.07)^4 once worked out, you should get $18,351.14414 < this is the total amount he would be paying at the end of 4 years. to find the interest, subtract this amount from the principal amount (14,000):

$18,5351.14414 - 14,000 = 4,351.14414 < this is the amount of interest. Round your answer. 

Answer: Jamal will pain $4,351.14 interest. 
8 0
3 years ago
3. Gavin deposited $1500 into his savings account that is compounded quarterly at an interest rate of 1.5%. How much money will
wolverine [178]

Answer:

\$1,616.60  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4  

substitute in the formula above  

A=1,500(1+\frac{0.015}{4})^{4*5}  

A=1,500(1.00375)^{20}  

A=\$1,616.60  

7 0
3 years ago
Read 2 more answers
If line segment AB represents ​50%, what is the length of a line segment that is​ 100%?
Debora [2.8K]

Answer:

I believe it's 16. sorry if I'm wrong.

4 0
3 years ago
Read 2 more answers
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