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katovenus [111]
3 years ago
6

The product of two rational number is 7. If one of the number

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
7 0

Answer:

7/12 OR 0.58 (2.d.p)

Step-by-step explanation:

Product means that the two rational numbers are being multiplied to get 7.

The question also tells us that one of them is 12. Therefore we can write an equation to express this information where we represent the unknown rational number using the letter 'r':

r x 12 = 7

Rearrange to find r:

r x 12 / 12 = 7 /12

r = 7/12 = 0.5833....

= 0.58 (2.d.p)

Hope this helped!

anzhelika [568]3 years ago
3 0

Answer:

y = \frac{7}{12}

Step-by-step explanation:

x × y = 7

We are given x = 12.

12 × y = 7

Rearrange.

y × 12 = 7

Divide each side by 12.

y × 12 ÷ 12 = 7 ÷ 12

Simplify.

y = \frac{7}{12}

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A shirt is regularly priced at 42$. It is on sale for 15% off of the regular price. What is the sale price of the shirt ?
gulaghasi [49]

Answer:

$35.7

Step-by-step explanation:

you can convert 15% to a decimal by dividing by 100.

15/100 = .15

if you multiply the decimal by the cost of the shirt you get how much the discount is.

0.15 * $42 = 6.30

so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.

$42 - $6.30 = $35.70 that is the sale price of the shirt.

4 0
3 years ago
Read 2 more answers
Ricardo has 2020 coins, some of which are pennies (1-сent coins) and the rest of which are
r-ruslan [8.4K]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
It says circle the numbers that are prime 21, 3, 18, 51, 2, 17, 6, 1, 91,
uysha [10]
3 and 17 that’s all there is to it, prime numbers are numbers that don’t divide by anything but itself and one
8 0
3 years ago
(-4,-6) and (3,-7) find the distance between each pair of points
Vlad [161]

Answer:

5\sqrt{2}

Step-by-step explanation:

distance between two points:

d = \sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}}

we have:

(-4, -6), (3, -7)

x_{1} = -4

y_{1} =-6

x_{2} = 3

y_{2} =-7

so we have:

d =\sqrt{(3-(-4))^{2}+ (-7-(-6))^{2}}\\\\d =\sqrt{(7)^{2}+ (-1)^{2}}\\\\d = \sqrt{49+ 1}\\\\d=\sqrt{50}\\\\d=5\sqrt{2}

4 0
3 years ago
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In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
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