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Alisiya [41]
3 years ago
13

The sum of two numbers is 87. if three times the smaller number is subtracted from the larger number the result is seven. find t

he two numbers
Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0
\left \{ {{a+b=87} \atop {a-3b=7}} \right.



a-3b=7
a=7+3b

a+b=87
(7+3b)+b=87
7+4b=87
4b=87-7
4b=80
b=20

a=7+3b
a=7+3*20
a=7+60
a=67
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What is the value of the expression 3 squared times the quantity of 2 cubed + 4 all divided by 2 squared?
antoniya [11.8K]

Answer:

27

Step-by-step explanation:

Put this into numbers:

\frac{3^2*(2^3+4)}{2^2}

Use Order of Operations to simplify. First, you would do the stuff in parentheses which is:

2^3+4

Inside of those parentheses first simplify the exponents:

8 + 4

Now add

12

So the new equation is:

\frac{3^2*12}{2^2}

The next step is to simplify the exponents

\frac{9*12}{4}

Multiply out the top

\frac{108}{4}

Divide this

27

5 0
3 years ago
Which best describes the lateral faces of all prisms? parallelograms squares rhombi rectangles?
Murljashka [212]
Any face on a prism that is not a base is a lateral face (see the attached image). The prism in the picture has a hexagonal base (6 sided) and 6 lateral faces. The lateral faces meet each other at lateral edges, as well as meeting both bases. Each lateral face is a polygon with four sides. All edges of the laterals are the same size and parallel. This makes the lateral faces parallelograms, containing a 4-sided figure with opposite sides that are parallel. 

7 0
4 years ago
Read 2 more answers
Pls help thanks ! it’s math !
likoan [24]

Answer:

a. (8 × 2) = (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) = 16

b. (8 × 2) = (2 × 8) = (8 + 8 ) = 16 {Using the commutative property}

c. It is easier to calculate (8 + 8 ) than (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2).

Step-by-step explanation:

Multiplication operation is equivalent to the repeated addition operation.

For example (3 × 4) can be treated as 3 groups of 4 or 4 + 4 + 4 then use the addition facts to learn the multiplication facts.

a. Now, (8 × 2) can be treated as 8 groups of 2 or 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 then using the addition facts we get (8 × 2) = (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) = 16

b. If we apply the commutative property of multiplication then (8 × 2) = (2 × 8) and we can assume it as 2 groups of 8 or (8 + 8) i.e. 16 which makes it easier to get the multiplication process by addition operation.

c. It is clear that (8 + 8) is much more easier to calculate than (2 + 2 + 2 + 2 + 2 + 2 + 2 + 2) by addition operation. (Answer)

7 0
3 years ago
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A cable company charges a monthly fee for cable service plus an additional $3 for each premium channel. This is given by the fun
svlad2 [7]

Answer:

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3 0
3 years ago
A salesperson’s commission rate is 4%. What is the commission from the sale of $39,000 worth of furnaces? Suppose sales would do
kenny6666 [7]

Answer:

The earnings will double

Step-by-step explanation:

Step one:

given data

we are told that the sales person's earnings is 4% of the sales made.

given that the sales made is $37,000 worth of furnaces.

Step two:

we want to find 4% of $37,000

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hence for $37,000 the earning will be $1480.

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we want to find 4% of $74,000

=4/100*74000

=0.04*74000

=2960.

the earnings is $2960.

So if sales doubles the earnings will double

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3 years ago
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