Mathematics High School

John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be
twice Mary's current age. Find their ages now.
If x is Mary's age now and yis John's age now, which system of equations could not be used to solve the problem?

Answers

Answer 1

Answer:

M=15

J=20

Step-by-step explanation:

Let J and M be the present age of John and Mary respectively:

J=M+5

2(J+10)−(M+10)=35

2(M+5+10)−(M+10)=35

2M+30−M−10=35

M=15

J=20

Related Questions


Find the value of x. Round your answer to the nearest tenth.
Help please!

Answers

Use the formula c^2 = a^2 + b^2
9^2 = x^2 + 7^2
81 = x^2 + 49
x^2 = 32
x = 5.7 (rounded)

Solve each system
7) 8x-y=3
y=-8x - 3
Please help

Answers

Answer:

i cant answer this because of my school computer but its simple

Step-by-step explanation:

Answer: x & y

              0 & -3

              1  & 5

slope : 8

y intercept : -3

On a farm, 4 and half out of every 15 acres of the land are used to grow crops.
Wheat is grown on 5/8 of the land used to grow crops.
What percentage of the total area of the land on the farm is used to grow wheat?

Answers

Given :

On a farm, 4 and half out of every 15 acres of the land are used to grow crops.

Wheat is grown on 5/8 of the land used to grow crops.

To Find :

The total area of the land on the farm is used to grow wheat.

Solution :

Land required to grow crops on every 15 acres is :

C = 4.5 or C = [tex]\dfrac{9}{2}[/tex] acres.

Now, it is given that wheat is grown on [tex]\dfrac{5}{8}[/tex] of the land used to grow crops.

[tex]W = \dfrac{9}{2}\times \dfrac{5}{8}\\\\W = \dfrac{45}{16}\ acres[/tex]

Now,  percentage of the total area of the land on the farm is used to grow wheat is :

[tex]\% W = \dfrac{45}{16\times 15 }\times 100\\\\\%W = 18.75 \%[/tex]

Hence, this is the required solution.

Solving systems of equations using substitution. y=2x+8. y=5-x

Answers

Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

What is the area of the following trapezoid in the following graph (there is an attachment)

Answers

Answer:

72 square units

Step-by-step explanation:

I asked my parents they agree, but i'm not sure if it's right or not.


Akhila works for a company with over 1000 employees, of whom 83% have pierced ears. Every year, each
employee draws another employee's name and gives them a gift. Let I be the number of names Akhila
draws until she draws an employee's name who does not have pierced ears.
What type of variable is T?

Answers

Answer:

Geometric

Step-by-step explanation:

Trust

If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool

Answers

Answer:  5/14 gallons

============================================================

Work Shown:

1/4 = 0.25

7/10 = 0.70 = 70%

We are told that 0.25 gallons of water fills 70% of the pool

We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.

Set up the proportion below and solve for x

(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)

0.25/70 = x/100

0.25*100 = 70x ....... cross multiply

25 = 70x

70x = 25

x = 25/70

x = (5*5)/(5*14)

x = 5/14 gallons

----------------------------------------

An alternate method:

1/4 gallons = 7/10 pools filled

(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)

(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled

10/28 gallons = 1 pool filled

(5*2)/(14*2) gallons = 1 pool filled

5/14 gallons = 1 pool filled

In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".

----------------------------------------

Yet another alternate method:

1/4 = 10/40

7/10 = 28/40

We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.

So we have this ratio

10 gallons : 28 pools

Dividing both parts by 28 tells us how many gallons are needed for one pool

10 gallons : 28 pools

10/28 gallons : 28/28 pools

10/28 gallons : 1 pool

5/14 gallons : 1 pool

I need help with this ?

Answers

Answer:

8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

Step-by-step explanation:

The outer rectangle has width 8 and length 3y + 2.

The area of the outer rectangle is length times width or width times length, so the area is 8(3y + 2).

We can also find the area by finding the area of each small rectangle, and adding the areas together.

The left small rectangle has dimensions 8 and 3y.

A1 = WL = 8 * 3y = 24y

The right small rectangle has dimensions 8 and 2.

A2 = WL = 8 * 2 = 16

The total area of both small rectangles is 24y + 16

That tells use that

8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16

This is the distributive property at work.

Area of rectangle: length x width

Length: (3y + 2)
Width: 8

Area:
= (3y+2) x 8
= 8(3y) + 8(2)
= 24y + 16

The answer is 24y + 16.

2. What is the slope of a line that is parallel to the line shown?
A) 3/2
B)-2/3
C) -3/2
D)2/3​

Answers

I think it’s B
Sorry if it’s wrong...

Who create the division

Answers

Answer:

Petter Sydow : A producer of division.

Step-by-step explanation:

Answer: Johann Heinrich Rahn

It was introduced by the Swiss mathematician, Johann Heinrich Rahn, in his work Teutsche Algebra (1659). This symbol was not much of a success in his home country of Switzerland or in Europe. But however, it was in both the Britain and also the USA.


A line passes through (-3, -1) and is parallel to the graph of y = 3x-4 has a slope Please help

Answers

Answer:

-12

Step-by-step explanation:

Could someone please help me with these two???

Answers

1. 3 Side-Side-Angle can not prove congruence
2. 1 Angle- Angle-Angle can not prove congruence

Please help with math

Answers

Answer:

sin x= opp/hyp

sin x=18/30

sin x =3/5

cos x= adj/hyp

cos x=24/30

cos x=4/5

tan x=opp/adj

tan x=18/24

tan x=3/4

9 g = 207
g=___? Helppp!

Answers

Answer:

g = 23

Step-by-step explanation:

Divide 207 / 9 = 23

Answer:

G=120

Step-by-step explanation:

Please help with this! The problem I need help with is problem 7.

Answers

Step-by-step explanation:

Cost per box : $1.2

[tex] \frac{1.5}{12} \times 100\% = 12.5\%[/tex]

POINTS POINTS PLEASE HELP POUNTS WILL BE GIVEN

Answers

Answer:

option 3  / hope this helps

Step-by-step explanation:

i did this test a while ago so if its wrong im sorry

Answer:

[tex] m\angle A = 40\degree[/tex]

Step-by-step explanation:

[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]

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