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Scrat [10]
3 years ago
10

Eddie's moving company moved 3 boxes out of Mrs. Diaz's house. The box labeled "kitchen" was 4 times heavier than the box labele

d Bedroom. The box labeled "library" was 14 times heavier than the box marked "Bedroom". If the combined weight of the boxes was 817 pounds, how much did the box labeled "kitchen" weigh
Mathematics
1 answer:
Svetach [21]3 years ago
7 0
K - Kitchen
b - Bedroom
l - Library

k = 4b
l = 14b
k   + b +  l    = 817 pounds
4b + b +14b = 817 pounds
19b = 817 lbs
b = 817/19 pounds
b = 43 pounds

Since k = 4b
k = 4 * 43 pounds
k = 172 pounds

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Write two expressions to show w increased by 4. Then, draw models to prove that both expressions represent the same thing.
Vinil7 [7]

Answer:Answer:

w + 4 and 4 + w

Step-by-step explanation:

Given phrase,

w is increased by 4,

That is, w + 4

By the commutative property of addition,

The expression would be,

4 + w

For drawing a model that shows w + 4

Take two boxes in which first shows w and second shows 4 and add them,

Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.

Step-by-step explanation:

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3 years ago
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Which shows how to best estimate the product of 4.73 x 8.92?
Anettt [7]

Answer:

5 x 9 = 45

Step-by-step explanation:

A good way to estimate this would be rounding to the nearest whole number.

First we'll look at 4.73. If we're rounding to the nearest whole number, then that means we'll look at the digit one place to the right of 4. The digit to the right of 4 is 7. 7 is greater than 5 so we round up. We get 5. If we do the same for the other number we see that it also gets rounded up to 9. So our new equation is: 5 x 9. That is a simple multiplication equation and when we multiply we get 45.

Hope this helped!

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Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth ​
Alika [10]

Answer:

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Step-by-step explanation:

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3 Fred is making a fruit salad. The ratio
marusya05 [52]

Answer: 24 cups.

Step-by-step explanation:

Let be "x" the amount of cups of peaches  that Fred will need to make 60 cups of  fruit salad.

According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:

2:3

Which can also be written as a fraction:

\frac{2}{3}

Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.

Knowing the above, you can set up the following proportion:

\frac{2}{5}=\frac{x}{60}

Now you must solve for "x" in order to find its value. This is:

(60)(\frac{2}{5})=x\\\\x=24

5 0
3 years ago
The Christmas Bird Count (CBC) is an annual tradition in Lexington, Massachusetts. A group of volunteers counts the number of bi
Lerok [7]

Answer:

(5.216) mean = 61.71

(5.217) standard deviation = 8.88

(5.218) P(X>=60) = 0.9238

(5.129) L = 79, U = 69

(5.130) P(X> or = U) = 0.7058

Step-by-step explanation:

The table of the statistic is set up as shown in attachment.

(5.216) mean = summation of all X ÷ no of data.

mean = 432/7 = 61.71 birds

(5.217)Standard deviation = √ sum of the absolute value of difference of X from mean ÷ number of data

S = √ /X - mean/ ÷ 7

= √551.428/7

S = 8.88

(5.218) P (X> or = 60)

= P(Z> or =60 - 61.71/8.8 )

= P(Z>or= - 0.192)

= 1 - P(Z< or = 0.192)

= 1- 0.0762

= 0.9238

(5.219)the 15th percentile=15/100 × 7

15th percentile = 1.05

The value is the number in the first position and that is 79,

L= 79

85th percentile = 85/100 × 7 = 5.95

The value is the number in the 6th position, and that is 69

U = 69

5.130) P(X>or = 60)

= P(Z>or= 69 - 61.71/8.8)

= P(Z> or = 0.8208)

= 1 - P(Z< or = 0.8209)

= 1 - 0.2942

= 0.7058

3 0
3 years ago
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