Mia discovered that if she takes half her age and adds 3, it produces the same result as taking one-fourth of her age and adding 7. How old is Mia?​

Answer:

11 % of 3rds into 8

Step-by-step explanation:

Answer:

8100

Step-by-step explanation:

printed price = $7500

sales tax = 8%

selling price of DVD

= 7500 + 8% of 7500

= 7500 + 600 = $8100

Answer: DVD was sold for $8100

Answer:

Chen:15$

Phyllis: 50$

Step-by-step explanation:

Hi!

Here's what we have:

Chen's equation and Phyllis's graph.

Let's start with Chen. His equation is y=15x+15, where y is the total and x is the week. Chen's starting amount will be the amount at the zeroth week. Now, the zeroth week is when x = 0 --> y=15(0) + 15 --> y=15

So, Chen starts off with 15$.

Now, looking at the graph, Phyllis starts off at a number between 60 and 40 (we're looking at the y-intercept because that's when x=0)

The only number between 60 and 40 in the answer choices is 50.

Phyllis starts with 50$.

Answer:

it helps us to add faster bc we can regroup numbers when we add. in the associative property, the order of the numbers don't change, only the grouping does

Step-by-step explanation:

Answer:

Did you know that the associative property can help us solve problems faster? ... According to the associative property, we can regroup the numbers when we add, and we can regroup the numbers when we multiply.

Step-by-step explanation:

Answer:

x < 6

Step-by-step explanation:

1. 3x+2x = 5x

2. 5x - 8 < 22

3. 22+ 8 =30

4. 5x < 30

5. 30/5 = 6

6. x < 6

Step-by-step explanation:

3x-8<-2x+22

3x+2x< 22+8

5x<30

Divide both sides by 5

x=30

Answer:

-36

Step-by-step explanation:

3+2+1+2=8-4-3=1-2=-1-1=-2x1x2=-4-1=-5-27=-33-3=-36

tan(2A) + sin(2A) = sin(2A)/cos(2A) + sin(2A)

• rewrite tan = sin/cos

… = 1/cos(2A) (sin(2A) + sin(2A) cos(2A))

• expand the functions of 2A using the double angle identities

… = 2/(2 cos²(A) - 1) (sin(A) cos(A) + sin(A) cos(A) (cos²(A) - sin²(A)))

• factor out sin(A) cos(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (1 + cos²(A) - sin²(A))

• simplify the last factor using the Pythagorean identity, 1 - sin²(A) = cos²(A)

… = 2 sin(A) cos(A)/(2 cos²(A) - 1) (2 cos²(A))

• rearrange terms in the product

… = 2 sin(A) cos(A) (2 cos²(A))/(2 cos²(A) - 1)

• combine the factors of 2 in the numerator to get 4, and divide through the rightmost product by cos²(A)

… = 4 sin(A) cos(A) / (2 - 1/cos²(A))

• rewrite cos = 1/sec, i.e. sec = 1/cos

… = 4 sin(A) cos(A) / (2 - sec²(A))

• divide through again by cos²(A)

… = (4 sin(A)/cos(A)) / (2/cos²(A) - sec²(A)/cos²(A))

• rewrite sin/cos = tan and 1/cos = sec

… = 4 tan(A) / (2 sec²(A) - sec⁴(A))

• factor out sec²(A) in the denominator

… = 4 tan(A) / (sec²(A) (2 - sec²(A)))

• rewrite using the Pythagorean identity, sec²(A) = 1 + tan²(A)

… = 4 tan(A) / ((1 + tan²(A)) (2 - (1 + tan²(A))))

• simplify

… = 4 tan(A) / ((1 + tan²(A)) (1 - tan²(A)))

• condense the denominator as the difference of squares

… = 4 tan(A) / (1 - tan⁴(A))

(Note that some of these steps are optional or can be done simultaneously)

Answer:

6x=36

x=6

Step-by-step explanation:

Answer:

1. No solution

2. Infinite many solutions

3. One solution

4. No solution

5. No solution

6. One solution

7. No solution

8. One solution

9. Infinite many solutions

10. Infinite many solutions

Step-by-step explanation:

There are nine campers in total. There are five boys in the camp. Here are the details:

Ratio: 5:9

Fraction: 5/9

Decimal: 0.5555...........

Percentage: 56%

Hope this helped! Have a wonderful Day! :D

Answer:

The answer is 6x -7y = 21

Step-by-step explanation:

Im taking the diagnostic

Given:

A line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex].

To find:

The point slope form of the given line.

Solution:

If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the slope intercept form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex]. So, the point slope form of the line is

[tex]y-(-6)=\dfrac{1}{3}(x-(-2))[/tex]

[tex]y+6=\dfrac{1}{3}(x+2)[/tex]

Therefore, the correct option is A.

Answer:

$24.74

Step-by-step explanation:

32.98*0.75=24.735

Answer:

well for me I think

Step-by-step explanation:

25/100×32.98

also

1/4×32.98

32.98/4

8.245

Answer:

The value of k  if the graph of f passes through the point (3/4,0) is [tex]\mathbf{k=-\frac{9}{4}}[/tex]

Step-by-step explanation:

We are given the function: [tex]f(x)=\frac{k}{x}+3[/tex] where k is constant.

We need to find k, if the graph of f passes through the point (3/4,0).

So, graph passes through point (3/4,0) we have x=3/4 and y =0

Putting value of x in given function we can find value of x

We have f(x)=0, and x= 3/4

[tex]f(x)=\frac{k}{x}+3\\0=\frac{k}{\frac{3}{4} }+3[/tex]

Using fraction rule: [tex]\frac{a}{\frac{b}{c} }=\frac{a.c}{b}[/tex]

[tex]0=\frac{4k}{3 }+3\\Taking \ LCM\\0=\frac{4k+9}{3}\\3*0=4k+9\\0=4k+9\\4k=-9\\k=\frac{-9}{4}[/tex]

So, The value of k  if the graph of f passes through the point (3/4,0) is [tex]\mathbf{k=-\frac{9}{4}}[/tex]

Answer: x₁=7, x₂=-1

Step-by-step explanation:

(x-3)^2= x^2-6x+9

2(x^2-6x+9)=28+4

x^2-6x+9=16

x^2-6x-7=0

you use the quadratic equation will give you 2 roots,

x₁=7, x₂=-1

Answer:36.5

Step-by-step explanation:

Answer:

Mario brought 5 magazines

Step-by-step explanation:

If you just add $12.60 and $2.25 together then keep adding $2.25 until you get to $23.85, you'll get your answer.

So like,  

(1) 12.60 + 2.25 = 14.85

(2) 14.85 + 2.25 = 17.1

(3) 17.1 + 2.25 = 19.35

(4) 19.35 + 2.25 = 21.6

(5) 21.6 + 2.25 = 23.85  

So the total would be 5. Mario bought 5 magazines.

Answer:

DFBG

Step-by-step explanation:

At any point in time;

slope m = (y2-y1)/(x2-x1)

1. (3,19) and ((-1,-13)

m = (-13-19)/-1-3 = -32/-4 = 8

Letter here is D

2. we pick out two points to use here from the line

These are ((0,1) and (2,5)

Slope is ;

(5-1)/2-0 = 4/2 = 2

Letter here is F

3. We pick any two points

(1,-8) and (4,-32)

slope =

(-32 + 8)/4-1 = -24/3 = -8

Letter here is B

4. Slope = 8 + 10/0-9 = 18/-9 = -2

letter here is G

Answer:

128

Step-by-step explanation:

Add the two numbers then subtract from 360

Hey,

The answer is 55

I wrote the solution, you can look.

Good luck :)

Answer:

(10, 5)

Step-by-step explanation:

(0, 5) reflected over x=5 becomes 10 units away from x = 0

To Find :

The value of side CD.

Solution :

Applying Pythagoras theorem in ΔABC :

[tex]AC^2 + CB^2=AB^2 \\\\AC^2 + CB^2 = 13^2[/tex]     ....1)

Applying Pythagoras theorem in ΔACD and ΔCDB :

[tex]AD^2 + CD^2 = AC^2[/tex]     ....2)

[tex]CD^2 + DB^2 = CB^2[/tex]     ....3)

Adding equation 2 and 3, we get :

[tex]AC^2 + CB^2 =AD^2 + 2CD^2 + DB^2[/tex]   ...4)

Solving equation 1) and 4), we get :

[tex]AD^2 + 2CD^2 + DB^2 = 13^2\\\\9^2 + 2CD^2 + ( 13 - 9 )^2 = 13^2\\\\2CD^2 = 72\\\\CD = 6[/tex]

Therefore, length of CD is 6 .

Answer:

[tex]x^{2} -2+\frac{8}{x+3}[/tex]

Step-by-step explanation:

Answer:

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Step-by-step explanation:

Here, we want to compare speeds

For Jesse’s train, the speed is 150 mi/h

we got this from the fact that the equation of a straight line is represented as;

y = mx + b

where m which is the slope represents the rate of change

m here is 150

For Khalid’s;

we can get his own rate from the graph

This can be obtained using the slope

We can simply have this as ;

m = (y2-y1)/(x2-x1)

Let us have two points

(4,560) and (0,0)

Thus;

m = 560/4 = 140 mi/h

Hence;

Khalid’s rate is 140 mi/h. Jesse’s rate is 150 miles per hour

So, Jesse’s train traveled at a faster speed

Answer:

$6.08

Step-by-step explanation:

8% = 0.08

76 × 0.08

= $ 6.08

Answer: Day 14

Step-by-step explanation: 2^14 = 16384 cents, which equals $163.84

Answer:

a=22.478

Step-by-step explanation:

Answer:

Angle DE = 11

Step-by-step explanation:

DE = DF

8x + 3 = 6x + 5

8x = 6x + 5 - 3

8x - 6x = 2

2x = 2

2x/2 = 2/2

x = 1

DE = 8x + 3

DE = 8(1) + 3

DE = 8 + 3

DE = 11

Hope this helps

Answer: None of the above

Step-by-step explanation:

Answer: Y = e^2

The steps are shown in the picture!

Answer:

the answer is: 9.55cm.

Answer:

10cm

Step-by-step explanation:

9.55 is the same thing , but rounded its 10