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lys-0071 [83]
3 years ago
5

Reuben made a shirt using 3/8 yard of blue fabric and 1/3 yards of red fabric. How many yards of fabric did he use in all? Write

your answer as a fraction in simplest form.
Mathematics
2 answers:
Svet_ta [14]3 years ago
6 0
Find a common denominator first
3/8 x 3/3 =9/24
1/3x 8/8 =8/24
8/24+9/24=17/24
zepelin [54]3 years ago
5 0

the answer is \frac{17}{24}  To add fractions, find the LCD and then combine.

Exact Form:

1724

Decimal Form:

0.708¯3

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if P(x)=1+6x-5x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize p
Rashid [163]

Answer:

600

Step-by-step explanation:

p(x) = 1 + 6x - 5x^2

x max = -b/2a

a = -5

b = 6

-6/2(-5) = 6/10 = 3/5 = .6

.6 thousand = 600

600 speakers should be sold.

Alternatively, you can check the vertex of the parabola formed.

8 0
3 years ago
The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1;
lukranit [14]

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

6 0
2 years ago
1. What is the volume of the prism that can be constructed from this net?
Irina-Kira [14]
1. V = lwh
    V = (8)(4)(5)
    V = (32)(5)
    V = 160 units³

2. V = lwh + lwh
    V = (4)(2)(1) + (3)(1)(1)
    V = (8)(1) + (3)(1)
    V = 8 + 3
    V = 11 units³

3. V = leh + s³
    V = (9)(3)(4) + (3)³
    V = (27)(4) + 27
    V = 108 + 27
    V = 135 units³

4. V = lwh
    V = (3)(7)(2)
    V = (21)(2)
    V = 42 units³
3 0
3 years ago
(−19, 12), (−9, 1) Find the slope of the line through each pair of points.
Alchen [17]

Answer:

-11/10

Step-by-step explanation:

Slope = rise/run

m = (12-1) / (-19-(-9))

m = -11/10

7 0
3 years ago
Read 2 more answers
Equivalent expression for 7a+21
Mila [183]

Answer:

Step-by-step explanation:

If you factor the expression 7a+21 you can get:

7 × (a+3)

6 0
3 years ago
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