Anna, Bob and Chris are altogether 31 years old. How old will all three be altogether in three years time? (A)32 (B)34 (C)35 (D)37 (E)40​

Answers

Answer 1

Answer:

40

Step-by-step explanation:

A+B+C = 31

Add 3 years to each age

A+3  +B+3  + C+3  = 31 +3+3+3

They will be

A+3  +B+3  + C+3  = 40

Answer 2

Answer:

it will be 40

Step-by-step explanation:

If they are altogether 31 years old now in 3 years we just add 9 thus it is 40


Related Questions

Someone please help me ASAP! Worth 10 points

Answers

Answer:

(-1,-1)

Step-by-step explanation:

Step 1 identify coordinates of A

A is located at ( -3 , -3 )

Step 2 apply dilation by multiplying the x and y values of coordinate A by the scale factor

Given:

scale factor = 1/3

Coordinates of A: ( -3 , -3 )

* Multiply the x and y values by 1/3 *

( -3 * 1/3 , -3 * 1/3 ) -------> ( -1 , -1 )

The new coordinates would be (-1,-1)

multiply the coordinates of A by the scale factor given

Can someone help me with this math homework please!

Answers

Answer:

11.2

Step-by-step explanation:

[tex]p =\frac{160.16}{14.3}=\frac{160.16*10}{14.3*10}\\\\p = \frac{1601.6}{143}\\\\[/tex]

p = 11.2

Answer:

The person above me is correct I just did the work and I got the same answer as them :)

Step-by-step explanation:

if$3=£2 and Rs. 325=$3, how many pound(£) will be equal to Rs. 39000​

Answers

Answer:

Rupees 39,000 are

378.63 Pound sterling

Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7

Answers

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

[tex](h,k+p)=(6,-4)[/tex]

On comparing both sides, we get

[tex]h=6[/tex]

[tex]k+p=-4[/tex]                            ...(ii)

Directrix at y=-7. So,

[tex]k-p=-7[/tex]                            ...(iii)

Adding (ii) and (iii), we get

[tex]2k=-11[/tex]

[tex]k=\dfrac{-11}{2}[/tex]

[tex]k=-5.5[/tex]

Putting [tex]k=-5.5[/tex] in (ii), we get

[tex]-5.5+p=-4[/tex]

[tex]p=-4+5.5[/tex]

[tex]p=1.5[/tex]

Putting [tex]h=6, k=-5.5,p=1.5[/tex] in (i), we get

[tex]y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)[/tex]

[tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex]

Therefore, the equation of the parabola is [tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex].

which of the points lies on the curve y=x^3

Answers

Answer:

D

Step-by-step explanation:

Hello,

A: no since (1/3)^3=1/27 not 1/9

B: no since (-1)^3=-1 not 1

C: no since (-2)^3=-8 not -6

D: yes since (-1/2)^3=-1/8

Answser D

Find the value of `x´ in the given parrallelogram.​

Answers

X=9

3x-12=x+6
2x-12=6
2x=18
X=9
The value of x is 9 cm in the given parrallelogram.

Step-by-step explanation:

=> (3x-12) =(x+6)

or,3x - x = 6 + 12

or,2x = 18

or,x = 18/2

: x=9#

let's write the whole numbers from 90 to 100 . Select the appropriate number to form the following sets . Then , write the type of sets .
A={ even number}
B={ odd number}
C={ X:X is a prime numbers}
D={ y:y is a composite number}
E={z:z is a square number}
F={ cube number}
G={ multiples of 7}
H={ X:X is divisible by 11}​

Answers

A={ even number}

B={ odd number}

C={ X:X is a prime numbers}

D={ y:y is a composite number}

E={z:z is a square number}

F={ cube number}

G={ multiples of 7}

H={ X:X is divisible by 11}

꧁Aɴsᴡᴇʀ꧂

A

The even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100B

The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99

C

The prime number between 90 and 100 is: 97D

The composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.

E

The square numbers between 90 and 100 are:

90 = 8100

91 = 8281

92 = 8464

93 = 8649

94 = 8836

95 = 9025

96 = 9216

97 = 9409

98 = 9604

99 = 9801

100 = 10000

F

The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100. G

The multiples of 7 between 90 and 100 are: 91 and 98

H

Divisible by 11 (between 90 and 100) is: 99

ʰ ʰˡˢ

Answer:

A

The even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100

B

The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99

C

The prime number between 90 and 100 is: 97

D

The composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.

E

The square numbers between 90 and 100 are:

90 = 8100

91 = 8281

92 = 8464

93 = 8649

94 = 8836

95 = 9025

96 = 9216

97 = 9409

98 = 9604

99 = 9801

100 = 10000

F

The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100.

G

The multiples of 7 between 90 and 100 are: 91 and 98

H

Divisible by 11 (between 90 and 100) is: 99

is AC greater than, less than, or equal to BC? explain your reasoning

Answers

Answer:

AC is greater than BC

Step-by-step explanation:

First, we know that the angle of a straight line is 180°, so angle B as a whole is equal to 180 degrees. Therefore, angle YBC + angle ABC = 180 degrees. As angle YBC is a right angle, signified by the small square on the angle, it is 90 degrees. Therefore,

90 degrees + angle ABC = 180 degrees

subtract 90 degrees from both sides to isolate angle ABC

angle ABC = 90 degrees

Therefore, as angle ABC is equal to 90 degrees, and a right angle is 90 degrees, triangle ABC has a right angle, making it a right triangle.

In a right triangle, using the Pythagorean Theorem, the square of the side opposite the right angle is equal to the sum of the squares of the other side. Since side AC is opposite the right angle, we can say that

AC² = AB² + BC²

As the length of a side has to be greater than 0, we can say that

AC² = AB² + BC²

AB² > 0

AC² > BC²

square root both sides

AC > BC

Therefore, AC is greater than BC

What is the vertex of
y= 3/4x^2+3x+2

Answers

Answer:

The vertex is located at (-2,-1)

Step-by-step explanation:

The person above me is correct

what is the y-coordinate of the red point?

Answers

The y-coordinate of the red point is -3.

What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?

Answers

Answer:

[tex]y=3x-17[/tex]

Step-by-step explanation:

Parallel equations always share a slope.

So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]

[tex]-5=3(4)+b[/tex]

simplify both sides

[tex]-5=12+b[/tex]

isolate the variable

[tex]-17=b[/tex]

plug [tex]b[/tex] back into the equation and you get

[tex]y=3x-17[/tex]

Answer:

y = 3 x + 11

 Explanation:

Parallel lines have the same slopes.

The slope of the new line will have the same slope as the given line:

y = 3 x − 4

⇒ m = 3

One point on the line is given,  

( − 2  5 ) .

This is  ( x 1  y 1 )

The formula for slope is  

m = ( change in y values/ change in x-values ) =  y 2  −  y 1/ x 2 − x 1

If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.

y  −  y 1 =  m  ( x  −  x 1 )  

y  −  5  =  3 ( x  −  ( − 2 ) )

y  −  5  =  3 ( x + 2 )

Simplify to get the required equation of the line.

y  =  3 x  +  6  +  5

y  =  3 x  +  11

Step-by-step explanation:

Evaluate the function. f(x)=3x^2 −4x Find f(−1)

Answers

Answer:

7

Step-by-step explanation:

evaluate the function means substitute x=-1 and calculate

f(x) = 3x²-4x

f(-1) =f(x=-1) = 3(-1)²-4(-1) =3+4 =7, because (-1)²=1 and -4(-1) =4

3/4 - 5/8


can someone plz tell answer

Answers

The correct answer is 0.125

Answer: 1/8

Step-by-step explanation:

Convert 3/4 so it has 8 as the denominator. 3/4 = 6/8. Now you can subtract. 6/8 - 5/8 = 1/8.

Which number line represents the solutions to -2x = -6?

Answers

Answer:

3

Step-by-step explanation:

-2x = -6

or, x = -6 / -2

or, x = 3

To maintain a balanced diet, ensure that your food contains minimal amounts of certain ingredients. Which ingredient is missing in the sentence below?
One’s diet should include small amounts of fat, , and sugar.

Answers

Step-by-step explanation:

i think minerals and vitamins since they are micro nutrients

which lines are perpendicular ?

Answers

Answer:

Lines  C and D

Step-by-step explanation:

For a pair of lines to be perpendicular ,

    the product of their slope must be - 1 .

Slope of A:

[tex]2x - 3y = 6\\\\-3y = -2x + 6\\\\y = \frac{-2x}{-3} + \frac{6}{-3}\\\\[/tex]

[tex]y = \frac{2}{3}x - 2\\\\slope_A = \frac{2}{3}[/tex]

Slope of B:

[tex]3x - 2y = - 9\\\\-2y = - 3x - 9\\\\y = \frac{-3x}{-2} - \frac{9}{-2}\\\\y =\frac{3x}{2} + \frac{9}{2}\\\\slope_B = \frac{3}{2}[/tex]

Slope of C:

[tex]y = - \frac{3}{2}x - 5 \\\\slope_C = -\frac{3}{2}[/tex]

Slope of D:

[tex]y = \frac{2}{3}x + 2\\\\slope_D = \frac{2}{3}[/tex]

Product of the slopes = - 1

[tex]slope_A \times slope_B = \frac{2}{3} \times \frac{3}{2} = 1 \neq - 1 \\\\Therefore, not\ perpendicular.\\\\Slope_B \times slope_C = \frac{3}{2} \times \frac{-3}{2} = \frac{-9}{4} \neq -1\\\\Therefore , not \ perpendiucalr.\\\\Slope_C \times slope_D = -\frac{3}{2} \times \frac{2}{3} = - 1\\\\Therefore , perpendicular\\\\\\Slope_A \times slope_D = \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} \neq 1\\\\therefore , not \ perpendicular.[/tex]

What number, divided by 3/7 , will result in a value of 2 1/3?

Answers

bro you still in school??

instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given.

Given: AAS

Answers

Answer:

QP ≈ HG

Common side between those angles are QP and HG

so, they should be congruent to prove AAS

Answered by GAUTHMATH

Which of the following is the equation of the quadratic function below?

Answers

Answer:

C y=x^2+2x+1

Step-by-step explanation:

I have a lot of algebra problems. Someone help me even with this one please!

Answers

X -Y =44 will represent the number of glasses of ice tea .


In a college of 400 students, 45% are girls. Of the boys, 30% are football
players. How many boys are football players?

Answers

Of 400 students
No of girls = 0.45 x 400= 180
No of Boys = 400-180=220
Of the. No of boys 30% are football players =0.30 x 220 = 66

Solve for e. 4/3 = -6e - 5/3

Answers

Answer:

e = -1/2

Step-by-step explanation:

To solve this problem, our first step is to add 5/3 to both sides of the equation.  This gives us:

4/3 + 5/3 = -6e - 5/3 + 5/3

9/3 = -6e

We can simplify the left side of the equation by performing the division.

3 = -6e

Next, we can solve for e by dividing both sides of the equation by -6.

e = -1/2

Therefore, the correct answer is e = -1/2.

Hope this helps!

Answer:

The value of e is -1/2

Step-by-step explanation:

4/3 = - 6e - 5/3

Now, add 6e both side we get,

4/3 + 6e = + 6e - 6e - 5/3

4/3 + 6e = - 5/3

Now, subtract 4/3 from both side we get,

4/3 - 4/3 + 6e = -4/3 - 5/3

6e = -4/3 - 5/3

6e = -4 - 5/3

6e = -9/3

6e = -3

Now, divide 6 from both side we get,

6e/6 = -3/6

e = -1/2

Thus, The value of e is -1/2

-TheUnknownScientist

Please help me! ❤️ I got stuck on this and really need some help

Answers

Answer:

0,-4

-2.65,2.62

2.65,2.62

Step-by-step explanation:

[tex]0^2 = 0\\-2.65^2 =7.0225\\ 2.65^2 =7.0225[/tex]

[tex]y = x^2 - 4[/tex]

-4, 3.0225

[tex]-4^2 = 16\\3.0225^2=9.1355[/tex]

Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?

Answers

Answer:

The probability that they each will catch 3 fish is 0.000063956

Step-by-step explanation:

The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes  for both the population and sample.

Here

Population size= N =200

Sample size= n =9= (3*3)

Number of successes in population = k = 3 hours

Number of successes in sample = x= 3

Applying the hyper geometric distribution

P (x=3) = kCx *(N-k) C (n-x)/ N Cn

   = 3 C 3 * 197 C 6/ 200 C 9

    =0.000063956

The probability that they each will catch 3 fish is 0.000063956

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x = 7

Step-by-step explanation:

First we find out what we are using sin,cos, or tan then we plug in the numbers

Sin 26 x 16 = 7

Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?

Answers

Answer: 7 hr

Step-by-step explanation:

Given

Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]

Speed of Emily [tex]v_e=12\ mph[/tex]

Speed of Kylie [tex]v_k=8\ mph[/tex]

Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]

Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]

[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]

They will meet after 7 hour.

10 points!!!!!:)

Describe the graph of the function.

[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).

pls help me:).

Answers

Answer:

b) y=sqrt(x) shifted 3 units left

Step-by-step explanation:

3rd line in the attached table:

f(x+3) = sqrt(x+3) horizontal translation left 3 units

A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction in simplest form.

Answers

Answer:

Probability of the chosen T-shirt not being black will be equal to 9/10

Step-by-step explanation:

In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...

18/20 = 9/10

Darcy's harvests 8 3/4 acres of corn every 5/6 hours. How much corn can she collect in a hour. ? =Amount of acres of corn done in a hour.

Answers

Answer:

Step-by-step explanation:

Acres of corn harvested : time taken = 8 3/4 : 5/6

How much corn can she collect in a hour. ?

Let

x = Acres of corn harvested

Acres of corn harvested : time taken = x : 1

8 3/4 : 5/6 = x : 1

35/4 : 5/6 = x : 1

35/4 ÷ 5/6 = x/1

35/4 × 6/5 = x/1

35*6/4*5 = x/1

210/20 = x/1

210 * 1 = 20 * x

210 = 20x

x = 210/20

= 10 1/2 acres

x = Acres of corn harvested = 10 1/2 acres

52.3 X 16.0 please help me thank you so much !

Answers

Answer:

836.8

Step-by-step explanation:

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