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2 years ago

Write 84 as a product of prime numbers

2 answers:

6 0

Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. Prime factorization: 84 = 2 x 2 x 3x 7 which can also be written (2^2) x 3 x 7.

Makovka662 [10]2 years ago

5 0

A prime number is a number only factors are one and itself,
84 as a product of prime numbers could be;
2 x 2 x 3 x 7

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The correct answer is D
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You will need 50% of a packet of pasta to make a meal for 4 people. How

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you would use 1.5 packets, but that requires 2 packets.

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A postcard has an area of 24 square inches. Two enlargements of the postcard have areas of 54 square inches and 96 square inches

Alex777 [14]

Answer:

original is 4 & 6.

for 54 sq inch= 6 & 9 and for 96 sq inch=8 & 12

Step-by-step explanation:

Given: The length is 1.5 times the width.

so the length is, l = 1.5w ----(a)

lw = 24 =1.5w(w)

lw = 54= 1.5w(w)

lw = 96 =1.5w(w)

Further simplifying it,

1.5 $w^{2}$ =24

1.5 $w^{2}$ =54

1.5 $w^{2}$ =96

so,

$w^{2}$ = $\frac{24}{1.5}$ =16

$w^{2}$ = $\frac{54}{1.5} =$ 36

$w^{2}$ = $\frac{96}{1.5} =$ 64

taking the square root, we get:

w = 4

w = 6

w = 8

By putting the above values in eq (a), we can find their corresponding lengths:

l = 1.5(4) = 6

l = 1.5(6) = 9

l = 1.5(8) = 12

So a few lengths could be:

(l, w)

(6,4)

(9,6)

(12,8)

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2 years ago

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0.6(4-2x)=20.5-(3x+10)

solong [7]

The solution of 0.6(4-2x)=20.5-(3x+10) is x = 4.5

Solution:

Given, expression is 0.6 ( 4 – 2x ) = 20.5 – ( 3x + 10 )

We have to solve the above given equation for x.

Now, take the equation

$\rightarrow 0.6(4-2 x)=20.5-(3 x+10)$

We have to use BODMAS rule. BODMAS means sequence of operations which is brackets, order, division, multiplication, addition and then subtraction

On solving the brackets, we get

$\rightarrow 0.6 \times 4-0.6 \times 2 x=20.5-3 x-10$

Now multiplication is given preference

$\rightarrow 2.4-1.2 x=10.5-3 x$

$\rightarrow 3 x-1.2 x=10.5-2.4$

Now subtraction is done

$\rightarrow 1.8 \mathrm{x}=8.1$

Now division is performed

$\rightarrow x=\frac{8.1}{1.8}=4.5$

Hence, the value of x is 4.5

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2 years ago

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B.The two figures are similar

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