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disa [49]
2 years ago
9

In the figure, ABC DFE. What is the perimeter of ABC in inches?

Mathematics
1 answer:
lys-0071 [83]2 years ago
7 0

Answer:

Step-by-step explanation: 54in

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Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
AlekseyPX

Answer : 96

x – y = 16 --------> equation 1

\frac{1}{8} x +\frac{1}{2} y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

\frac{1}{8} x +\frac{1}{2} ( -16 + x ) = 52

\frac{1}{8} x - 8 +   \frac{1}{2} x = 52

\frac{1}{8} x  +   \frac{1}{2} x - 8 = 52

Take common denominator to combine fractions

\frac{1}{8} x  +   \frac{4}{8} x  -8 = 52

\frac{5}{8} x - 8  = 52

Add 8 on both sides

\frac{5}{8} x   = 60

Multiply both sides by \frac{8}{5}

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

6 0
2 years ago
Read 2 more answers
Use the discriminant to answer the questions. 32x - 4 = 4x2 + 60 For the equation shown, choose the description of the solutions
sp2606 [1]

One real, rational, Option A

8 0
2 years ago
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How many terms are in the algebraic expression -7 + 12x4 - 5y8 + x?
Mazyrski [523]

Answer:

4

Step-by-step explanation:

Each mix of numbers and letters that is separated by a + or a - is a term.

5 0
2 years ago
A shipment of ball bearings with a mean diameter of 25 mm and a standard deviation of 0.2 mm is normally distributed. By how man
Svetach [21]
You need to calculate how many times the required difference is of the standard deviation, i.e. the ratio difference / standard deviation.


These are the calculations:


Standard deviation = 0.2 mm


Difference between 25.6mm and the mean = 25.6mm - 25mm = 0.6 mm


Ratio difference / standard deviation = 0.6mm / 0.2 mm = 3.


Then, the answer is that a ball with a diameter of 25.6 mm differs 3 standard deviations from the mean.
6 0
2 years ago
27 students are learning to make balloon animals. There are 172 balloons to be shared equally among the students
bija089 [108]
A.) .4 of a balloon is left
To Check:
what I did was divide 172 by 27 and it is 6.37 rounded to ........6 is an equal number so I kept it and .4 will be left over after sharing equally.

B.) 17 more balloons are needs
To Check:
what I was multiply 27 by 7 because each student needs seven balloons and I got 189 after that I subtracted 172 from 189 (189-172=17)
to see how many more balloons are needed.
3 0
2 years ago
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