1. Aftab tells his daughter, “Seven years ago, I was seven times as old as you were. Also, three years from now, I shall be three times as old as you will be.” Represent this situation algebraically.​

Answers

Answer 1

Answer:

x - 7 = 7(y - 7)

x + 3 = 3(x + 3)

Step-by-step explanation:

Aftab's age = x

daughter's age = y

According to question,

x - 7 = 7(y - 7)

and,

x + 3 = 3(x + 3)


Related Questions

2 EASY QUESTIONS I NEED HELP

Answers

Answer:

a=10.5

b=5.4

Step-by-step explanation:

Cody says that dividing a unit fraction by a whole number is the same as multiplying the unit fraction by a unit fraction with the whole number as the denominator.

Which of the following supports Cody's reasoning?

A.
1
4
÷
3
=
1
12
and
4
×
3
=
12
B.
1
4
÷
3
=
1
12
and
1
4
×
1
3
=
1
12
C.
1
4
÷
3
=
1
12
and
3
÷
1
4
=
12
D.
3
÷
1
4
=
12
and
3
×
4
=
12

Answers

Answer:

c

Step-by-step explanation:

i took a test on it

8w2 + 2w - 3
What is the value of the expression below when w = 2?

Answers

Answer:

33

Step-by-step explanation:

8 x 2^2 + 4 - 3= 8x4+1=33

Answer:

33

Step-by-step explanation:

8w2 + 2w - 3

w = 2

substitute w for 2:

(8 x 2 x 2) + (2 x 2) - 3

solve:

32 + 4 - 3

33

There 10 years in one decade Deron he is two decades for years and eight months old his brother John is half as old how old is John

Answers

Answer:

John is 12 years and 4 months old !!

Step-by-step explanation:

The library wants to display all the books on shelves in rows.
Each row has the same number of books and the same type
of books. How many books could be in each row? Explain
how you found your answer.

Answers

Answer:

4 books

Step-by-step explanation:

the three numbers can divisible by 4

Hope this right.But if it's not,im so sorry..Have a nice day

Which expression is equivalent to -5(1+7x)+3(3+4x)

Answers

Answer:

0(2+14x)+6(6+8x)

Step-by-step explanation:

What would be the SUM of the lengths of the first and second diagonals rounded to the nearest whole number?

Answers

Answer:

16 m

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = base² +altitude²

                      = 5² +6²

                      = 25 + 36

                      = 61

First diagonal = [tex]\sqrt{61}[/tex] = 7.81 m

Second diagonal² = first diagonal² + altitude²

                              = [tex](\sqrt{61})^{2}[/tex]  + 3²

                              = 61 + 9

                              = 70

second diagonal = [tex]\sqrt{70}[/tex] = 8.37 m

First diagonal  + second diagonal = 7.80 + 8.37 = 16.17 = 16

what is 20% times what equals 30

Answers

Answer:

20%×X=30

x=150

Step-by-step explanation:

30÷20%=150

20%×150=30

Determine the intercept of the line

Answers

Step-by-step explanation:

y-intercept (0,2.5)

x-intercept (3.5,0)

Y (0, 2 1/2)
X (3 1/2, 0)

If anybody can help me pls do

the average of 5 numbers is 64. When a sixth number is added, the average becomes 66. What is the sixth number?​

Answers

Step-by-step explanation:

5x64=32066=(320+x} 666x6={320+x)396=320+x=396-320

a watch is sold for $130 at a loss of $30. what was the original cost of the watch​

Answers

Answer:

130.00 + 30.00 = $160.00

Step-by-step explanation:

Use Substitution to solve the following System of Equations.
y=-22 - 4
y = 4x + 2
Oh

Answers

Answer:

X=4

Y=18

I think

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

y = - 2x - 4 → (1)

y = 4x + 2 → (2)

Substitute y = 4x + 2 into (1)

4x + 2 = - 2x - 4 ( add 2x to both sides )

6x + 2 = - 4 ( subtract 2 from both sides )

6x = - 6 ( divide both sides by 6 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 4(- 1) + 2 = - 4 + 2 = - 2

solution is (- 1, - 2 )

Write the equation of each line. State its slope and y-intercept, if they exist.

Answers

Answer:

4. a) y=1x+2

   b) y=0x

   c) y=0x

   d) y=1x+0

Step-by-step explanation:

The formula for slope intercept form is y=mx+b and the formula for slope is rise/run.

b= y intercept and m=slope.

4.b and 4.c do not cross the y intercept.

HELP ILL MARK YOU BRAINLIST

Answers

Answer:

Step-by-step explanation:

d = common difference = a₂ - a₁ = 9-1 = 8

nth term = a₁ + (n-1)d = 1 +(n-1)8 = 8n-7

Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Select all that apply.

Answers

Answer:

Step-by-step explanation:

5%×g= 5g/100

g-5g/100

Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles

Answers

Answer:

17.

78\sqrt{3},\ 39\sqrt{3},\ 78\sqrt{3}

19.

6,\ 12,\ 12\sqrt{2}

Step-by-step explanation:

The required values of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.

What are trig ratios?

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
For triangles,
sin45 = 39/x
z = 39×√2

xsin60 = 39×√2 cos45
x ×√3/2 = 39
x = 39 × 2 / √3
x = 26√3

Now,
cos60= y / x
1/2 = y / 26√3
y = 13√3

Thus, the required value of the x, y, and z in the given triangle are 26√3, 13√3, and 39×√2 respectively.

Learn more about trig ratios here:

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Rachel needs to drive a total of 205.2 miles. So far, she has driven 56 miles. How many more miles must Rachel drive?
miles
X 5 ?

Answers

Answer:

205.2/56 = 3.66428571

rounded answer 3.7 hours

Evaluate −6 − (−4). (1 point)

−10
−2
24
2

Answers

Answer:

B: -2

Step-by-step explanation:

When you minus a negative number, it is like adding the absolute value of the negative value, so:

-6-(-4)

=-6+4

=-2

The answer is B: -2

Have a nice day!

What is the volume of this sphere rounded to the nearest hundredth?

Answers

Answer:

2144.7

Step-by-step explanation:

Volume of a sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]

V= [tex]\frac{4}{3} \pi 8^{3}[/tex]

V=(4 /3)·π·8^3≈2144.66058 --> 2144.7

Trigonometry Question:
Find the length of side AB
Give your answer to 1 decimal place​

Answers

Side AB is 5.63366, for your answer it would be 5.6.

Answer:

5.6 cm

Step-by-step explanation:

use the cosine ratio to get the answer since AB is the adjacent side and the hypotenuse has already been given

Line t intersects line u as shown below


What is the value of x

Answers

Answer:

x = 117 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)

Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)

Hence the value of x = 117 degrees (vertically opposite to each other on line u)

Calculate the angle marked with a question mark. Do not measure - the drawing is not to scale

Answers

Answer:

crbtbynynumyvscwcsbymumybrxqzwcrhy

Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?

A 1/6

B 1/3

C 1/2

D 3

Please help!

Answers

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

if 3 kilograms = 6.618 pounds how many pounds are in 3 grams

Answers

Answer:

0.00661 pound

Step-by-step explanation:

If 3 kilograms = 6.618 pounds than There are approximately 0.006636 pounds in 3 grams. To convert grams to pounds, we can use the given conversion factor: 3 kilograms = 6.618 pounds.

First, we need to convert 3 grams to kilograms. Since there are 1000 grams in a kilogram, we divide 3 grams by 1000 to obtain the equivalent value in kilograms:

3 grams / 1000 = 0.003 kilograms

Now, we can use the conversion factor to convert kilograms to pounds. Multiplying the equivalent kilograms (0.003) by the conversion factor:

0.003 kilograms * (6.618 pounds / 3 kilograms) = 0.006636 pounds

Therefore, there are approximately 0.006636 pounds in 3 grams.

To know more about kilograms:

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.La señora Juanita encargó a su hijo Juan que realice las compras en el supermercado por dos días consecutivos. Después de una semana la Sra. Juanita le preguntó a su hijo Juan cuánto costó el kilogramo de naranjas y el kilogramo de manzanas. Juan manifestó que sólo recordaba que el primer día gastó 8,90 soles en total, al comprar 1 kg de naranjas y 4 kg de manzanas; y que el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. ¿Cuánto costó cada kilogramo de naranja y de manzanas?

Answers

Answer:

El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso, se debe plantear un sistema de ecuaciones. Se determinan las variables:

x: precio de cada kilogramo de naranjay: precio de cada kilogramo de manzanas

Juan el primer día gastó 8,90 soles en total al comprar 1 kg de naranjas y 4 kg de manzanas; y el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. Entonces el sistema de ecuaciones a resolver es:

[tex]\left \{ {{x+4*y=8.90} \atop {5*x+10*y=24.50}} \right.[/tex]

Se decide resolver el sistema a través del método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso despejando la variable x de la primera ecuación se obtiene:

x= 8.90 - 4*y

Reemplazando esta expresión en la segunda ecuación se obtiene:

5*(8.90 -4*y) + 10*y=24.50

Resolviendo se obtiene:

5*8.90 -5*4*y + 10*y=24.50

44.5 -20*y + 10*y=24.50

-20*y + 10*y=24.50 -44.5

-10*y= -20

y= (-20)÷ (-10)

y= 2

Reemplazando el valor de y obtenido en la expresión x= 8.90 - 4*y se obtiene:

x= 8.90 - 4*2

x= 8.90 - 8

x=0.9

El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.

Write 2/14 in simplest form

Answers

2/14 in simplest form is 7.

Answer:

1/7

Step-by-step explanation:

2 ÷ 2 = 1

14 ÷ 2 = 7

1/7 is the simplest form!

Hope this helps =]

Jason started last week with $900 in his checking account. During the week, he wrote the checks below. At the end of the week, jason recurved a paycheck for $534.59. He recorded all of these transactions in his check register. Evaluate jason’s check register. A. Jason did a good job; everything is correctly.

Answers

Answer:

D

Step-by-step explanation:

PLATO/ Edmentum

What values of x satisfy this inequality? 5x + 71 ≥ −14

Answers

Answer:

≥-17

Step-by-step explanation:

we will want to solve for x just like any other equation
5x + 71 >_ -14
We will subtract 71 from both sides
5x >_ -85
We then divide by 5 on both sides
x >_ -17
So any values greater than or equal to -17 will satisfy the inequality

Please help thank you so mcuh

Answers

Answer:

7.0

Step-by-step explanation:

Right angled triangle. To find the hypotenuse, use Pythagorean theorem.

Hypotenuse² =  base² + altitude²

                      = 6.5² + 2.7²

                      = 42.25 + 7.29

                     = 49.54

hypotenuse = √49.54 = 7.04 = 7

Step-by-step explanation:

by using Pythagoras law

h²=p²+b²

missing angle =h let

h²=(2.7)²+(6.5)²

h=√(49.50)=7.03=7

The whole bar weighs 40 grams. If the whole bar is split into 100 equal parts, how much do
one of those parts weigh?

Answers

Answer:

0.4 grams

Step-by-step explanation:

40/100 = 0.4

The whole bar weighs 40 g if the whole bar is split into 100 equal parts how much do one of those parts weigh?

Answer: 2.5 grams!
Explanation: One whole bar weighs 40 g and is spilt into 100 pieces. 100 divided by 40 = 2.5
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