7. Simplify the expression.
3[(15 – 3)2 + 4

Answer:

42.39in^3

Step-by-step explanation:

half of 3= 1.5

Which 1.5 would be our radius. (r)

V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)

V= (3.14) x 1.5^2 x 6

V= (3.14) x 2.25 x 6

V= 42.39in^3

Answer:

369

Step-by-step explanation:

28% 0f 288=80.64

228lbs sold + 80.64(Round off)  =81 = spoiled =369

Answer:

[tex]\triangle KLM \sim \triangle GFH[/tex]

Step-by-step explanation:

In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].

Answer:

20:15, 24:18, 28:21, etc.

Step-by-step explanation:

Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.

Answer:

4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.

Step-by-step explanation:

The denominators are all multiples of 3 and the numerators are multiples of 4.

Answer:

I hope that it will be help full for u

Step-by-step explanation:

As we know the equation of line is ,

As given

slope=m=-2/5

also given (x, y)= (-5, 7)

we get   x=-5  , y=7

putt in the equation of line all these values we get ,

7=(-2/5)(-5) +c

c=7-2

c=5   now putt the value of c and m  in equation of line we will get ,required equation of line

Using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

The equation of the "straight line is in the form y = mx + b where 'm' is the slope of the line, 'b' is the y - intercept form" is called slope intercept form.

According to the question,

The line passes through the point (-5,7) and has slope of -2/5,

The equation of the straight line y = m x + c. Substitute (-5,7) and slope -2/5 in general equation we have 7 = -2/5 (-5) + c

7 = 2 + c

c = 7-2

c = 5

Hence, using slope intercept form, the equation of the line that passes through the point (-5,7) and has a slope of -2/5 is y = - 2/5x + 5.

Learn more about slope intercept form here

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Answer:

18 inches!

Step-by-step explanation:

Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)

hope this helped!

Answer:

X= -5

Step-by-step explanation:

Answer:

y=x-6

Step-by-step explanation:

The carton contains 729 mL.

Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.

We have.

540mL x .35 = 189 mL

189 mL + 540 mL = 729 mL

The carton contains 729 mL.

Learn more about Fractions:

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Given:

Point is T(-3,8).

To find:

The coordinates of T' after [tex]R(y-axis)\circ R(x-axis)[/tex].

Solution:

We know that, [tex]R(y-axis)\circ R(x-axis)[/tex] means the figure reflected across the x-axis then reflected across y-axis.

If a figure reflected across x-axis, then

[tex](x,y)\to (x,-y)[/tex]

[tex]T(-3,8)\to T_1(-3,-8)[/tex]

If a figure reflected across y-axis, then

[tex](x,y)\to (-x,y)[/tex]

[tex]T_1(-3,-8)\to T'(-(-3),-8)[/tex]

[tex]T_1(-3,-8)\to T'(3,-8)[/tex]

Therefore, the required point is T'(3,-8).

Answer:

Thes slope is -4/ -7

Step-by-step explanation:

You use the equation Y2 - Y1 / X2 - X1

So this would look like this: -3 -1 / 0 - 7 when you plugin the numbers

So when you do the math, you're left with -4 / -7, which is the slope

Answer:

slope: 4/7

Step-by-step explanation:

Answer:

y=2x-6

Step-by-step explanation:

subtract 6x from each side. divide each side by -3.

Answer:

b. Yes

c. No

d. No

e. Yes

Step-by-step explanation:

hope this helped

Answer:

b no

c no

d yes

e yes

Step-by-step explanation:

there can not be 2 of the same x's but there can be 2 of the same y's

Answer:

The equation representing the total distance would be A. 105x + 90.

The time the truck has travelled would be 8 hours while the time traveled by the train would be 6 hours.

Step-by-step explanation:

Firstly, let's set the time travelled by the train to be x hours.

According to the question, the equation would be 45(x + 2) = 60x, because the truck has travelled 2 more hours than the train.

Hence:

[tex]45(x + 2) = 60x[/tex]

[tex]45x + 90 = 60x[/tex]

[tex]90 = 60x - 45x[/tex]

[tex]15x = 90[/tex]

[tex]x = 6[/tex]

Therefore, the truck has travelled a total of (6 + 2) hours = 8 hours, and the train has travelled for 6 hours.

Also, the equation can be found by adding both equations up:

[tex]45(x + 2) + 60x[/tex]

[tex]= 45x + 90 + 60x[/tex]

[tex]= 105x + 90[/tex]

Hope this helped!

Answer:

The x intercept is 3

Step-by-step explanation:

Because that is where it hits the x axis

Answer:

D. 550 years

Step-by-step explanation:

Firstly, you need to understand the meaning of B.C.E. and C.E. B.C.E. means "Before common era", where "common era" is the year where Jesus Christ was born (I will just call it "The Year" since the name is so long). The date has been used as a dating system for many years.

In this case, 300 B.C.E. means 300 years before "The Year" whereas 250 C.E. means 250 years after "The Year". Thus, the total would be:

300 + 250 = 550 years

Answer:

I suggest that you use Socratic to solve this. It answers almost every question.

Step-by-step explanation:

Answer:

Nope

Step-by-step explanation:

The reason for this is that if it was rotated 180º, it would mean that the triangle was in QIII.

***And have a nice winter break!!!! ;***

Answer: C or B

Step-by-step explanation:

Answer:

its the first answer

Step-by-step explanation:

Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

Answer:

c. 141.7 in

Step-by-step explanation:

multiply the length value by 39.37

Answer:

8/5

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

the y-intercept is -4.

Step-by-step explanation:

y = mx+b

m = slope

b = y-intercept

Answer:

x² + 12

48m²

Step-by-step explanation:

Find the diagram attached.

The room can be segregated into two rectangles

The area of the room = Area of bottom rectangle + area of the top rectangle

Area of the bottom rectangle = x * (x-3) = x² - 3x

Area of the top rectangle = 3* (4+x) = 12 + 3x

The area of the room = x² - 3x + 12 + 3x

Area of the room = x² + 12

Hence the algebraic expression that the architect can use to find the area of the room is x² + 12

Given x = 6m

The area of the room = x² + 12

The area of the room = 6² + 12

The area of the room = 36 + 12

The area of the room = 48m²

Answer:

6/11

Step-by-step explanation: