Factor the expressions 7 – 42

Answer:

D

Step-by-step explanation:

The interquartile range is the difference between the last dot on the box and the first dot on the box.

20 - 40:

150 - 110 = 40

50 - 70:

125 - 95 = 30

Answer:

D.  296 square inches

Step-by-step explanation:

The surface area of a prism is the total area of all its faces.

A triangular prism has three rectangular faces and two triangular faces.

As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.

Formulae

From inspection of the diagram:

⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²

⇒ Area of a rectangle = 8 x 10 = 80 in²

Total surface area

Total surface area = 3 rectangle areas + 2 triangle areas

                              = (3 x 80) + (2 x 28)

                              = 296 in²

Answer:

296

Step-by-step explanation:

have a great day

Answer:

x^2−7x+12      so -7x

Step-by-step explanation:

Answer:

X' (-8,-2)

Step-by-step explanation:

You move -6 two spaces to the left making -8 and 3-5 = -2

Answer:

C & D

Step-by-step explanation:

The two answers would be the same.

Hope this is correct.

BTW today is my bday.

The direction given by Enzo's sister is an illustration of distance

Enzo's distance from the east of 1st avenue to the field is 6 miles

From the question, we have the following directions:

The above directions imply that the total distance from the east of 1st avenue to the field is:

Distance = 3 miles + 1 mile + 2 miles

Evaluate the sum

Distance = 6 miles

Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles

Read more about distance at:

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Answer:

He may reach the field but he may also end up at the lake

Step-by-step explanation:

Answer:

[tex](f-g)(x)=-x^{2}+2x+8[/tex]

Step-by-step explanation:

[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]

                [tex]=2x+1-\left( x^{2}-7\right)[/tex]

                [tex]=2x+1-x^{2}+7[/tex]

                [tex]=-x^{2}+2x+8[/tex]

Answer:

  see attached

Step-by-step explanation:

The given equation is in "point-slope" form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Comparing the equation to the form, you see ...

__

The equation is easily graphed by plotting the point (-1, -3) and then drawing a line through it that has a slope (rise/run) of 3. That is, the line will go up 3 grid squares for each grid square to the right. (The origin is a point on the line.)

Answer:

912

Step-by-step explanation:

number of girls :

[tex]1200\times \frac{24}{100} =12\times 24=288[/tex]

number of boys :

1 200-288 = 912

============================================================

Explanation:

If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).

There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.

There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.

That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.

Answer:

<3=C. 133

Step-by-step explanation:

Well, angle 2 and angle 3 are corrisponding angles, meaning that they are on the same line, and a line is always equal to 180, and 47 degrees is a part of that line, and you need the other part of that line for angle 3, so you simply subtract 180-47=133 degrees

Answer:

x=7

Step-by-step explanation:

Shannon mistakenly mixed up angles A and B. Notice the side 9 is opposite angle B and not angle A.

She should replace every copy of uppercase A with uppercase B. Also, she should replace lowercase 'a' with lowercase b

This is what her steps should look like

[tex]\frac{\sin B}{b} = \frac{\sin C}{c}\\\\\frac{\sin B}{9} = \frac{\sin 125^{\circ}}{12}\\\\B= \sin^{-1}\left(\frac{9*\sin 125^{\circ}}{12}\right) \approx 37.9^{\circ}\\\\[/tex]

Then we can find angle A like this

[tex]A+B+C = 180\\\\A = 180 - B - C\\\\A \approx 180 - 37.9 - 125\\\\A \approx 17.1^{\circ}\\\\[/tex]

Angle A is approximately 17.1 degrees.

Answer:

152

Step-by-step explanation:

2*( (8*2) + (8*^) + (2*6))

Answer:

It will cost $21.25

Step-by-step explanation:

We can use ratios to solve

8.50          x

--------   = -----------

100 kg      250 kg

Using cross products

8.50 * 250 = 100 x

Divide each side by 100

8.50 * 250/100 = x

21.25 = x

It will cost $21.25

2 - cubic centimeters

3- cubic decimeters

4- cubic centisquare

5- cubic millimeters

( cylinder's unit is in cubic due to formula )

(correct me if I'm wrong)

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\frac{x}{a}= \frac{y}{b} =\frac{z}{c}[/tex]

[tex]Let \: \frac{x}{a}= \frac{y}{b} =\frac{z}{c}=m[/tex]

(where m is any constant)

[tex]\implies[/tex]

[tex]\frac{x}{a}=m\implies x =am[/tex]

[tex]\frac{y}{b}=m\implies y =bm[/tex]

[tex]\frac{z}{c}=m\implies z =cm[/tex]

To Prove:

[tex]\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}=2[/tex]

LHS [tex]=\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}[/tex]

(Plug the values of x, y and z in the form of am, bm and cm respectively in the LHS)

[tex]=\frac{a(am)-b(bm)}{(a+b)(am-bm)}+\frac{b(bm)-c(cm)}{(b+c)(bm-cm)}[/tex]

[tex]=\frac{a^2m-b^2m}{(a+b)m(a-b)}+\frac{b^2m-c^2m}{(b+c)m(b-c)}[/tex]

[tex]=\frac{m(a^2-b^2)}{m(a+b)(a-b)}+\frac{m(b^2-c^2)}{m(b+c)(b-c)}[/tex]

[tex]=\frac{\cancel{m(a^2-b^2)}}{\cancel{m(a^2-b^2)}}+\frac{\cancel{m(b^2-c^2)}}{\cancel{m(b^2-c^2)}}[/tex]

= 1 + 1

= 2

= RHS

[tex]\implies \purple{\bold{\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}}}=\red{\bold{2}}[/tex]

Thus proved

Answer:

False

Step-by-step explanation:

You can't add without first doing the terms of 2^3---(PENDAS)

Answer:

The answer is 56. There would be 56, 18 inch pieces of rope.

Step-by-step explanation:

Give Brainliest if you would like :)

Answer:I’m not sure about the wind but the speed of the dragon is 125mph

Step-by-step explanation:Remember,

Speed=Distance/Time

Distance=Speed x Time

Time=Distance/Speed

Knowing that the distance in both trips was the same, we can say that he flew his trip 150mph (Speed=300/2) the first time and 100mph (Speed=300/3) the second time. Next, we find the average of 150 and 100 and that is (100+150)/2 which is 125. I’m sorry I couldn’t find the speed of wind, but in my defense, I’m only in 6th grade. Hopefully that helped you, good luck!

Answer:

Speed of the wind was

25 miles per hour.

Speed of Mighty Dragon 125 was

miles per hour.

Step-by-step explanation:

math lel

Answer:

Ricky it is 1,202

And for Pedro 1202 + 276 = 1478

Step-by-step explanation:

The computation is shown below:

Let us assume the ricky be x,

So, pedro be x + 276

Now the equation is,

x + x + 276 = 2680

2x + 276 = 2680

2x = 2680-276

2x = 2404

x = 1,202

For Ricky it is 1,202

And for Pedro 1202 + 276=1478

Answer:

slope c =1

Step-by-step explanation:

slope for line (y2-y1)/(x2-x1)

slope of line a = (-3-3)/(3-(-3))

slope of  line a = -6/6 = -1

if line c is perpendicular to line a, so relationship for slops are

(slope a) *(slope c)= -1

(-1)*(slope c) = -1

slope c =1

Answer:

mc = 1

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

1) x =3 - S

2) x = 1 - O

3) x = 5 - L

4) x =. I don't understand this one. its 1/2 * 21? = V?

5) x = 10 - E

Answer:

He is incroredct because he should have multiplied the bases

Step-by-step explanation:

Answer:

A: He is incorrect because he multiplied the bases.

Step-by-step explanation:

The correct answer would have been: [tex]6^{9}[/tex]

Answer:

L < 5.25yd

Step-by-step explanation:

We can think of Mrs. Klein's composting area as a rectangle, and the formula for finding the area of a rectangle is Base * Height = Area (B*H=A)

Let's just say for the sake of solving the problem that they say that area of the garden had to be exaclty 6 square feet. Because the area must be 6sqft (sqyd = square yards) then we can enter 6 into our formula.

B*H=A now equals B*H=6

They also tell us that the width (which is a stand-in for height) is [tex]1\frac{1}{7}[/tex] so we can enter that in our formula as well

B*H=6 now is [tex]B*1\frac{1}{7} =6[/tex] and now we just have one unknown... the B (base)

And since [tex]B*1\frac{1}{7} =6[/tex] then [tex]6/1\frac{1}{7} =B[/tex]

Thus,

[tex]6yd / 1\frac{1}{7} = 5.25yd[/tex]

And because the question said that the area must be less then 6sqyd, then the length can be anything less then 5.25yd.

Thus,

L < 2.25

Hope that helped... Chow!

Answer:

what exactly is the equation?

Step-by-step explanation:

Answer:19,500

Step-by-step explanation: Yw.

Step-by-step explanation:

372×2

Hence fill In this order

3 2 2

Answer:

11-3×62=496

Step-by-step explanation:

by getting 8 by subtracting 11 and 3 yoy can do this

[tex]62[/tex]

[tex] \times 8[/tex]

The number is 17 and less and the inequality is 3x + 11 ≤ 62

Given,

Eleven more than three times a number is at most 62

We need to find the number and the inequality.

< mean less than

> means greater than

≤ means less than or greater than

≥ means greater than or equal to

Find the meaning of the statement.

more than means adding

times means multiply

At most 62 means the maximum is 62 and we use ≤ 62.

Find the expression.

Eleven more than three times a number is at most 62

Let x be the number.

3x + 11 ≤ 62

Find x value.

3x + 11 ≤ 62

3x + 11  62

3x ≤ 62 - 11

3x ≤ 51

x ≤ 51/3

x ≤ 17

Thus the number must be 17 and less and the inequality is 3x + 11 ≤ 62

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