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Oksanka [162]
2 years ago
5

A grocer purchased a 100-pound mixture of nuts for $515.The mixture contains 70 pounds of peanuts that cost $3.50 per pound.The

remaining nuts in the mixture are almonds.What is the cost per pound of the almonds in the mixture.??
Mathematics
1 answer:
alexdok [17]2 years ago
3 0
Answer $9.00 per pound for almonds
Reason
First, 70# x $3.50 = $245 of peanuts

Second, $515 total cost - $245 of peanuts = $270 of almonds

Third, we know 100# - 70# peanuts = 30# of almonds

Last, $270 cost of almonds divided by 30# of almonds = $9.00 per pound for almonds

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Will mark brainliest, please answer:)
BartSMP [9]

Answer:

√135

Step-by-step explanation:

3^2+b^2=12^2

9+b^2=144

9-9+b^2=144-9

b^2=135

√135=b

3 0
3 years ago
The drawing below is of a regular pentagon. The measure for each interior angle in a regular pentagon is 108°. Angle A is supple
myrzilka [38]

Answer:

  • 72°

Step-by-step explanation:

<u>The interior and exterior angles are supplementary:</u>

  • A + 108° = 180°
  • A = 180° - 108°
  • A = 72°
6 0
2 years ago
If the circumference of a basketball is 29.5 inches, how many centimeters is the circumferenceof a basketball? Round your answer
Solnce55 [7]

Answer:

75 cm

Step-by-step explanation:

Every inch is 2.54 cm, so 29.5 in=74.93 cm. 74.93 rounded to the nearest whole is 75cm.

3 0
4 years ago
Read 2 more answers
7. Which of the following can be determined from the graph below?
tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

y=-\frac{5}{2}x+40  and  y=\frac{5}{3}x+15

Step-by-step explanation:

Part 7)

<em>step 1</em>

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{30-15}{9-0}

m=\frac{15}{9}

simplify

m=\frac{5}{3}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=\frac{5}{3}

b=15

substitute

y=\frac{5}{3}x+15

<em>step 2</em>

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{20-40}{8-0}

m=-\frac{20}{8}

simplify

m=-\frac{5}{2}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-\frac{5}{2}

b=40

substitute

y=-\frac{5}{2}x+40

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both y=-\frac{5}{2}x+40  and  

y=\frac{5}{3}x+15

7 0
3 years ago
Three cubes of the same metal, whose edges are 6, 8, 10 cm are meltedand formed into a single cube. Find the diagonal of the sin
allochka39001 [22]

Answer: 12√2 cm

<u>Step-by-step explanation:</u>

Cube 1: V = 6³ = 216

Cube 2: V = 8³ = 512

Cube 3: <u>V = 10³ = 1000</u>

New Cube: V = 1728

1728 = s³

12 = s

So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

144 + 144 = diagonal²

288 = diagonal²

√288 = diagonal

12√2 = diagonal


3 0
3 years ago
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