Mrs. Jones is 4 times as old as her son. The sum of their ages is 50 years. How old was Mrs. Jones when her son was born?

Answer:

x= -8

Step-by-step explanation:

Move the terms

Calculate: -x=12-4 = -x=8

Change the signs

Answer:

okay the answer 13.02 enjoy

Answer:

Step-by-step explanation:

Let tacos be x and burritos be y

So, Avery purchased 4x+2y = 21

Sasha purchased 4x+3y = 26.5

Solving the 2 eqns:

4x+2y=21

-4x-3y=-26.5

-y=-5.5

The cost of one burrito is $5.5

Answer:

[tex]\%Change = -40\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 6.5kg[/tex]

[tex]Final = 3.9kg[/tex]

Required

Determine the percentage change --- Missing from the question

This is calculated as

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-2.6kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-260}{6.5}\%[/tex]

[tex]\%Change = -40\%[/tex]

Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 4)

y + 3 = -1/2x + 2

y = -1/2x - 1

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(32)° = [tex]\frac{x}{14}[/tex]

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    sin(54°) = [tex]\frac{22}{x}[/tex]

     x = [tex]\frac{22}{\text{sin(54)}}[/tex]

     x = 27.19°

     x ≈ 27.2°

al principio había 10

y se vendieron por la tarde150

Answer:

There are 160 cats at the store.

Step-by-step explanation:

There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:

40 = 25%

40(4) = 25% (4)

160 = 100%

There are 160 cats at the store.

Answer:

160

Step-by-step explanation:

25%=1/4=0.25

=40×4

=160

Answer:

? = 5n + 6

Explanation:

Answer:

5x + 6

Step-by-step explanation:

Let the number = x. 5 times x = 5x. So, the equation 5x + 6.

Answer:

ŷ = -0.07637X + 61.36874

Step-by-step explanation:

Score, x :

545

595

640

675

705

750

Interest %, y:

18.982

17.967

12.218

8.612

6.680

5.150

Using the ordinary least square regression calculator :

The equation of best fit obtained is :

ŷ = -0.07637X + 61.36874

Slope = - 0.07637 (depicts a negative relationship between the variables).

Intercept = 61.36874

Score, X = explanatory variable ; Interest rate, Y = response variable

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966

Step-by-step explanation:

2x<9+5

2x<14

2x/2<14/2

x<7

Answer:

[tex]\boxed {\boxed {\sf x <7}}[/tex]

Step-by-step explanation:

To solve the inequality you must isolate the variable, which is x.

[tex]2x-5 < 9[/tex]

5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.

[tex]2x-5+5 < 9+5[/tex]

[tex]2x < 14[/tex]

x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.

[tex]\frac {2x}{2} < \frac {14}{2}[/tex]

[tex]x <7[/tex]

The solution to this inequality is x <7

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

Answer:

1.876

because I said it was

Answer:

D

Step-by-step explanation:

Answer:

I think this one is C

Step-by-step explanation:

It seems like its counting by 5's and the answer to the first equation

Answer:

x = -8

Step-by-step explanation:

If the line is parallel to the y axis, that means it will be a vertical line.

Vertical lines have an equation of x = , because the line will only go through one x value.

They also will not have a slope, because their slope is undefined.

So, the correct answer is x = -8

Answer:

65 percent chance right

Step-by-step explanation:

so she opens it 13 out of 20 times, so divide 13 by 20 and you get it

Answer: 1 and 3

Step-by-step explanation:

I got it right on edge 2021

Answer:

1 and 3

Step-by-step explanation:

Answer:

it is b              furqufhrfhquh quf hqhf

Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf  

\fn qf7f

The value of the matrix X is X =  [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].

Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.

Each number is called element in a matrix.

Given are two matrices.

A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]

We have given that, a matrix X exists such that,

X - A = B

We can rearrange this as,

X = A + B

Adding the two matrices,

The entries will be,

2 - 9 = -7

-7 + 5 = -2

6 + 1 = 7

1 - 1 = 0

X =  [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]

Hence the X is option A.

Learn more about Matrices here :

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Answer:

c=5/72

Step-by-step explanation:

5/9=14c-5/12

Switch sides

14c-5/12=5/9

Add 5/12 tp both sides

14c-5/12+5/12=5/9+5/12

Simplify;

14c-5/12+5/12

=14c

Simplify;

5/9+5/12

LCM of 9, 12;

36

The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.

Prime factorization of 9;

3*3

Prime factorization of 12;

2*6

=2*2*3

=3*3*2*2

=36

5/9=5*4/9*4=20/36

5/12=5*3/12*3=15/36

=20/36+15/36

20+15/36

=35/36

14c=35/36

14c/14=35/36/14

14c/14=c

35/36*14

=35/504

=5/72

Answer c=5/72

Answer to the following question is as follows;

Value of C = 5 / 72

Step-by-step explanation:

Given:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

Find:

Value of C

Computation:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

By taking 5/12 to LHS Side

[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]

By taking LCM;

[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]

[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]

[tex]\frac{35}{36} = 14c\\\\[/tex]

By transfer 14 to LHS side

[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]

[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]

[tex]\frac{5}{72} = c\\\\[/tex]

Value of C = 5 / 72

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There are 5 numbers that can be used.

The first digit can be 1 of 5

The second digit can be 1 of 4

The third digit is 1 of 3

The fourth digit is 1 of 2

The fifth digit is 1 of 1

Total digits that can be created = 5 x 4 x 3 x 2 x1 = 120

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u

Answer:

x=27

Step-by-step explanation:

Hey there!

the exterior angles of a quadrilateral add up to equal 360

so 360=2x+40+4x+3x+x+50

step 1 combine like terms

2x+4x+3x+x=10x

50+40=90

now we have

360=10x+90

step 2 subtract each side by 90

360-90=270

90-90 cancels out

now we have 270=10x

step 3 divide each side by 10

270/10=27

we're left with

x=27

Answer:

D. The same point

Step-by-step explanation:

An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.

This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.

Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.

Answer: B or C sorry if its wrong

Step-by-step explanation: have a nice day

Answer:

1 1/2

Step-by-step explanation: