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KatRina [158]
3 years ago
5

a box contains 'n' quarters and some dimes. the ratio of quarters to dimes is 1:2. write an expression for the total number of m

oney in the box
Mathematics
1 answer:
True [87]3 years ago
3 0
The ratio 1:2 means there are twice as many dimes as there are quarters.  An expression could be n=2d, n being number of quarters, d being number of dimes.
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7. The largest of the Great Pyramids in Egypt was built with a square base,
strojnjashka [21]

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

                            = (754)²

                            = 568516 square feet

Volume of the pyramid = \frac{1}{3}(\text{Area of the base})(\text{Height})

                                       = \frac{1}{3}\times 568516\times 481

                                       = 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = \frac{1}{3}(555025)(471)

                                       = 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet

5 0
3 years ago
A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9 and 4 white balls numbered 3, 6, 7, 10,
geniusboy [140]

Answer:

60%

a. 80%

b. 70%

Step-by-step explanation:

In this case we are first asked for the probability that when drawing a ball at random it is 8, 9 and 4 white balls numbered 3, 6, 7, 10, that is 6 balls. We know that there are a total of 10 balls since they are 6 red and 4 white, 6 + 4 = 10.

Therefore the probability is:

6/10 = 0.6

that is to say that the probability that it is one of these balls is 60%

to. that is red or odd,

red are 1, 2, 4, 5, 8, 9 and in addition to that, in white there is one with 3 and with 7 that are odd, making them 8 balls, therefore:

8/10 = 0.8

In other words, the probability is 80%

b. white or even,

the white ones are 3, 6, 7, 10 and in the red ones the 2, 4 and 8 are even, that is to say that they are 7 balls, which means that:

the probability is:

7/10 = 0.7

The probability is 70%

6 0
3 years ago
Write and solve an equation to find the complement of the angle that measure 42 degree
ser-zykov [4K]
Complementary angles add up to 90 degrees.

So we can write:

42 + x = 90

To solve, subtract 42 to both sides:

x = 48

So the complement of a 42 degree angle is a 48 degree angle.
7 0
3 years ago
Read 2 more answers
A new mixture of​ self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70
777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture C_m must be the cost of the everyday moisturizing lotion C_e plus the cost of the self-tanning lotion C_s, which means C_m=C_e+C_s.

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

n_m c_m=n_e c_e + n_s c_s

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m

We want to calculate the number of ounces of the​ self-tanning lotion (n_s), so we solve for that variable:

n_e c_e + n_s c_s=n_e c_m+n_s c_m

n_s c_s-n_s c_m=n_e c_m-n_e c_e

n_s (c_s-c_m)=n_e(c_m-c_e)

n_s=\frac{n_e (c_m-c_e)}{(c_s-c_m)}

And substitute our values in this formula, to get:

n_s=\frac{(700\ ounces) (\$1.6-\$0.7)}{(\$3-\$1.6)}=450\ ounces

7 0
4 years ago
Can you like solve dis fo me 40x(4x6^3+4x)
Colt1911 [192]

Answer:

160x^64+160x^2

hope this helps

have a good day :)

Step-by-step explanation:

6 0
3 years ago
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