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Angelina_Jolie [31]
3 years ago
9

URGENT! Please answer!

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer: 22/3

Step-by-step explanation:

So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.

The common denominator of the two would be 6.

-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}

Add the 27/6 to both sides

\frac{11}{6}=\frac{1}{4}x

Divide the 1/4 to both sides

x=\frac{11}{6}*\frac{4}{1}  =\frac{44}{6}= \frac{22}{3}

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The mother's age is 8 times her son's age. After 6 years, the age of the mother will be 9/2 times her son's age. The present age
Sonja [21]

Answer:

s=6 years

m=48 years

Step-by-step explanation:

Let

Mother's age=m

Son's age=s

m=8*s

m=8s (1)

m+6=9/2(s+6)

m+6=9/2s+27 (2)

Substitute (1) into (2)

m+6=9/2(s)+27

8s+6=9/2s+27

8s+6-9/2s-27=0

8s-9/2s-21=0

(16-9/2)s-21=0

7/2s=21

s=21÷7/2

=21×2/7

=42/7

s=6

Present age of the son=6

m=8s

=8(6)

m=48

Present age of the mother=48

5 0
3 years ago
Write the fraction as an equivalent fraction with the given denominator: 3/5 = ?/25 ?
Tom [10]
The answer would be 15/25
3/5 times 5/5=15/25
15/25 divided by 5/5=3/5
4 0
4 years ago
M2 L15 #1 Problem Set · ¹/₂ Questions inserted · 7th Grade Mathematics/Algebra · 14 Points
guajiro [1.7K]

Answer:

a) is A b) is D c) is D d) is 2 e) is At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde four days last week to buy ice cream bars. How much does he owe Clyde.

( On question " e) " simply just change the five to a four making him borrow 75 cents 4 times. )

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which equation represents the total cost, y, for x hours<br> of student ski lessons?
Mice21 [21]
SUP THANKS FOR THE POINTS
5 0
4 years ago
Prove algebraically that the straight line with equation x =2y+5 is a tangent to the circle with equation x ² +y ²
mrs_skeptik [129]

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.

x = 2y + 5 ...1

x² + y² = 5 ...2

If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.

Then from equations 1 and 2, we have

               (2y + 5)² + y² = 5

4y² + 25 + 20y + y² - 5 = 0

            5y² + 20y + 20 = 0

    5y² + 10y + 10y + 20 = 0

     5y (y + 2) + 10(y + 2) = 0

              (5y + 10)(y + 2) = 0

                                    y = -2, -2

Then the value of y is unique then the value of x will be unique.

The value of x will be

x = 2(-2) + 5

x = -4 + 5

x = 1

The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).

More about the circle link is given below.

brainly.com/question/11833983

#SPJ1

4 0
2 years ago
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