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LiRa [457]
2 years ago
8

Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the

total weight of the ingredients Dwayne bought? Select all that apply. A. 56 ounces B. 3 pounds 8 ounces C. 13 3/ 4pounds D. 13 3/ 4ounces E. 3 1/2pounds
Mathematics
1 answer:
Anastaziya [24]2 years ago
4 0

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys 1\frac{1}{2} pounds of flour, 12 ounces of coconut, and 1\frac{1}{4} pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = \frac{3}{4} pounds

He buys  \frac{3}{4} pounds of coconut.

Adding all of them together yields:

1\frac{1}{2} + \frac{3}{4} + 1\frac{1}{4} = 3\frac{1}{2} pounds

Let us also convert to ounces:

3\frac{1}{2}  / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is 3\frac{1}{2} pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

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Write an inequality for the situation. all real numbers at most –9.5 or at least 5.5
Tomtit [17]
Hello,

If b represents any real number,

b<=-9.5
or
5.5<=b


Answer  C

8 0
2 years ago
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If 10a+10b=35, what is the average (arithmetic mean) of a and b?
worty [1.4K]

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

6 0
2 years ago
8.5b−3.4∙(13a−3.2b)+a
Nesterboy [21]

Answer:

8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a

Step-by-step explanation:

It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.

8.5b - 3.4(13a - 3.2b) + a

= 8.5b - 3.4*13a -3.4*(-3.2b) + a

= 8.5b - 3.4*13a + 3.4*3.2b + a

= 8.5b - 44.2a + 10.88 b + a

Now, only like terms can be added to each other

= (8.5b + 10.9b) + (a - 44.2a)

= 19.4b + (-43.2a)

= 19.4b - 43.2a    

8 0
2 years ago
Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the
marissa [1.9K]

Given

jacinta buys 4 pounds of turkey and 2 pounds of ham & pays a total of $30, turkey costs $1.50 less per pound than the ham.

find out the combined cost of 1 pound of turkey and 1 pound of ham

To proof

As given in the question

jacinta buys 4 pounds of turkey and 2 pounds of ham

total pay by jacinta = $30

let us assume that the price of the ham = x

as given in the question

turkey costs $1.50 less per pound than the ham

turkey costs becomes = x - 1.50

then the equation becomes

30 = 4 (x - 1.50) + 2x

30 = 4x + 2x - 6

36 = 6x

x = 6

thus

ham cost per pound = $6

turkey cost per pound = 6 - 1.50

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Now find out

cost of 1 pound of turkey + 1 pound of ham = $ 6 + $ 4.5

                                                                       = $ 10.5

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5 0
2 years ago
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A quadratic pattern has a second term equal to 1,a third term equal to -16 and a fifth term equal to -14
chubhunter [2.5K]
Given are several terms in a quadratic pattern:

a1 = ?
a2 = 1
a3 = -16
a4 = ?
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let:

x       y
1       ?
2       1
3      -16
4       ?
5       -14

considering the 2nd term and 3rd term, we can determine a quadratic function:

y = -17x + 35

therefore,

a1 = 18
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7 0
2 years ago
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