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2 years ago

Use the distributive property to create an expression equivalent to the one below. 5(7x+6y)

2 answers:

7 0

Answer: 35x + 30 y

Step by step explanation:
You distribute 5 to 7x and 6y
5*7x = 35x
5*6y = 30y
Add them together and you get 35x + 30y
Hope it helped!

LUCKY_DIMON [66]2 years ago

3 0

Answer:

35x+30y

Step-by-step explanation:

5×7x=35x

5×6y=30y

35×+30 y

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Jackson runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $

mars1129 [50]

Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Given that Jackson runs a farm stand that sells bananas and grapes, and each pound of bananas sells for $ 1 and each pound of grapes sells for $ 2.25, and Jackson sold 15 more pounds of bananas than pounds of grapes and made $ 54 altogether, to determine the number of pounds of bananas sold and the number of pounds of grapes sold the following calculation must be performed:

25 x 1 + 10 x 2.25 = 25 + 22.50 = 47.50
26 x 1 + 11 x 2.25 = 26 + 24.75 = 50.75
27 x 1 + 12 x 2.25 = 27 + 27 = 54

Therefore, Jackson sold 27 pounds of bananas and 12 pounds of grapes.

Learn more about quantities in brainly.com/question/25823155

3 0

2 years ago

Eli invested $ 330 $330 in an account in the year 1999, and the value has been growing exponentially at a constant rate. The val

Cloud [144]

Answer:

The value of the account in the year 2009 will be $682.

Step-by-step explanation:

The acount's balance, in t years after 1999, can be modeled by the following equation.

$A(t) = Pe^{rt}$

In which A(t) is the amount after t years, P is the initial money deposited, and r is the rate of interest.

$330 in an account in the year 1999

This means that $P = 330$

$590 in the year 2007

2007 is 8 years after 1999, so P(8) = 590.

We use this to find r.

$A(t) = Pe^{rt}$

$590 = 330e^{8r}$

$e^{8r} = \frac{590}{330}$

$e^{8r} = 1.79$

Applying ln to both sides:

$\ln{e^{8r}} = \ln{1.79}$

$8r = \ln{1.79}$

$r = \frac{\ln{1.79}}{8}$

$r = 0.0726$

Determine the value of the account, to the nearest dollar, in the year 2009.

2009 is 10 years after 1999, so this is A(10).

$A(t) = 330e^{0.0726t}$

$A(10) = 330e^{0.0726*10} = 682$

The value of the account in the year 2009 will be $682.

4 0

3 years ago

The outside diameter of the igloo is 12 feet. The thickness of each block of ice that was used to construct the igloo is 1.5 fee

mojhsa [17]

The first thing we are going to do for this case is to model the igloo as a hemisphere.
The volume of the hemisphere is:
V = ((4/3) * (pi) * (r ^ 3)) / 2
Where,
r: sphere radio
We have then that the internal diameter is:
di = 12-1.5
di = 10.5 feet
So the radio is:
r = di / 2
r = 10.5 / 2
r = 5.25 feet
Substituting values:
V = ((4/3) * (pi) * ((5.25) ^ 3)) / 2
V = 303.1 feet ^ 3
Answer:
the amount of space of the living area inside the igloo is:
V = 303.1 feet ^ 3

6 0

2 years ago

Huddson has practiced a 360-back flip for months. This week, he did it perfectly 24 out of 54 times. At this rate, how many time

iris [78.8K]

Let x = perfect flips out of nine
$\frac{24}{54} = \frac{x}{9}$
$54x = 216$
$x = 4$
4 flips

5 0

3 years ago

The value of y varies directly with x. If x=4, then y=10. a. Find the constant of proportionality. b. Write an equation to repre

Lynna [10]

Answer:

aaaa

Step-by-step explanation:

In a short paragraph, describe how you would determine the amount of work needed to pull a toboggan the length of a football field. Be sure to include the equipment list and describe the measurements that you will take.

3 0

3 years ago