1. TRUE OR FALSE and explain. The coordinate pair (-3, 7) is the solution of the system of equations made up

of y = – 3x – 2 and y - 10 = 2/3(x-6).

Answer:

r≈58.41cm

hope i helped

if i can have brainliest that would be great

Answer:

6 cm

Step-by-step explanation:

circumference = 3.14 times the diameter, which is half of the radius.

I think you meant 36.7 cm

if you divide 36.7 by 3.14, you get the diameter (11.687). half of that is 5.843cm.

the closest to that is 6cm

Answer:

C. Elise should multiply both sides by 8.

Step-by-step explanation:

We need to undo what is being done to x

We are dividing x by 8, so to undo it we do the opposite.

The opposite of dividing is multiplication.

We multiply each side of the equation by 8

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

In this set of numbers 6 is the number that is most often seen

Answer:

Step-by-step explanation:

[tex]x^{-2}=16\\\\\frac{1}{x^{2}}=16\\\\[/tex]

Cross multiplication,

[tex]1=16x^{2}\\\\\frac{1}{16}=x^{2}[/tex]

Answer:

Step-by-step explanation:

Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).

Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).

Answer:

A, C, and D

Step-by-step explanation:

The rate of change will simply be the slope of the line, which we can find by taking the change in y and dividing that by the change in x:

slope = [tex]\frac{6-3}{4-2} =\frac{3}{2}[/tex]

Thus, the slope is 3/2 = 1.5.

Since the slope remains constant throughout the graph, we know that A is correct. In addition because the points 0, 2, 4, and 6 are on the graph, the rate of change between any of the two points will still be the constant 1.5, making C and D correct as well.

So, we can choose A, C, and D.

Hope this helps!

Answer:

The rate of change of a linear function is always the same.

The rate of change from 2 years to 4 years on the graph is 1.5 inches per year.

The rate of change from 0 years to 6 years on the graph is 1.5 inches per year.

Step-by-step explanation:

Slope = rate = (6 - 3)/(4 - 2) = 3/2

Slope of a straight line is constant hence the rate of change is also constant

Answer:

48 units ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) *h

where b1 and b2 are the lengths of the bases and h is the height

b1 = AT = 4*2 = 8 units ( watch the scale)

b2 = SR = 2*2 = 4 units ( watch the scale)

h = The line that S is at the to line that T is at along the x axis

  = 4*2 = 8 units ( watch the scale)

A = 1/2 ( 8+4) * 8

   = 1/2 *12*8

  = 48 units ^2

Answer:

48 units²

Step-by-step explanation:

ARST is a trapezoid

1 block = 2 units

½ × (4 + 8) × 8

48 units²

Answer:

A

Step-by-step explanation:

[tex]h(t)-j(t)=t^{\frac{2}{3}}-9-[3t+5t^{\frac{2}{3}}]\\\\=t^{\frac{2}{3}}-9-3t-5t^{\frac{2}{3}}\\\\=t^{\frac{2}{3}}-5t^{\frac{2}{3}}-3t-9\\\\=[1-5]*t^{\frac{2}{3}}-3t-9\\\\=-4t^{\frac{2}{3}}-3t-9[/tex]

Answer:

x = 20

Explanation:

Let's solve your equation step-by-step.

−10x = −200

Step 1: Divide both sides by -10.

−10x /−10  =  −200 /−10

x = 20

Answer:

x = 20

Step-by-step explanation:

-10x=-200

x = -200/ -10

x = 20

Answer:

It is 80.

Step-by-step explanation:

It's pretty simple-> Thousands, Hundreds, Tens, Ones.

Answer:

The tens place

Step-by-step explanation:

place values:

6000

400

80

2

Answer:-x+8

Step-by-step explanation:

So in this case we have to combine alike variables for this question.

(6x+9)-(7x+1)

     -9       -9

6x-7x+-8

We had to isolate in this case thats why both alike terms were getting subtracted by 9.

Then we just combining 6x-7x since they are alike terms.

-1x+8

-1x and -x are the same thing but if you want to make it more complex, the real answer is  -x+8

(I hope you find this helpful ;w;)

Answer:

-x+8

Step-by-step explanation:

Answer:

Step-by-step explanation:

First let's figure out the scale Alexander is using by relating the base in his drawing 10 in/3​000 ft = 1 in/300 ft

The scale for the drawing is 1 in:300 ft.

We know the actual Federal Triangle has a height of 1200 ft Let's use the scale to find the height of Alexander's triangle.

1200 ft times 1 in/300 ft = 4 in.

Alexander is using a scale of 1 in: 300 ft.His triangle has a height of 4 in.

Answer:

Frank should choose Option B. The mathematical expectation of this option is 6 and is the greater mathematical expectation of the two options.

Step-by-step explanation:

Answer: If the sum of the rolls is a multiple of 4. Frank receives 24 points

Which statement best explains the option he should choose?

Step-by-step explanation:

Test

Answer: what is the question??

Step-by-step explanation:

Answer:

inequality is greater than or less than or equal to

Answer:

.7143

Step-by-step explanation:

there are 5 trouts so 5/7

Answer:

see below

Step-by-step explanation:

Angle ACE = DCE since they are vertical angles

Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles

Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles

When all three angles are equal, the triangles are similar.

We can use ratios to find DE

DE         CE  

------- = ----------

AB           AC

DE         8

------- = ----------

12           10

Using cross products

10 DE = 8*12

10 DE = 96

Divide by 10

DE = 9.6

Answer:

1) they are similar by AAA postulate

2) 9.6 cm

Explanation:

Triangles CAB and CED are similar

because:

1) both have the same angle C

(vertically opposite angles)

2) Angle A = Angle E

(alternate angles)

3) Angle B = Angle D

(alternate angles)

CA/CE = AB/ED

10/8 = 12/DE

DE = 12 × 8/10

DE = 9.6 cm

Answer: It would take 6 trips

Step-by-step explanation: The pile of earth has formed into a cone with the following dimensions, height is 9 feet and base diameter is 24 feet across.

However the haulage truck has its capacity measured in yards, and so we use a standard rate of conversion of yards to feet and vice versa. The standard rate is;

1 Yard = 3 Feet

Hence, the height of the pile of earth an now be given as;

h yards = 9/3

h yards = 3

height = 3 yards

Similarly, the the base of the pile of earth can be calculated as;

(Note that the radius is derived as diameter divided by 2, that is 24/2)

r yards = 12/3

r yards = 4

radius = 4 yards

The volume of a cone is given as;

Volume = πr²h/3

Volume = 3.14 x 4² x (3/3)

Volume = 3.14 x 16

Volume = 50.24 cubic yards

For a haulage truck that can haul 9 cubic yards per trip, the total number of trips required to haul the entire volume of dirt is given as follows;

No of trips = 50.24 ÷ 9

No of trips = 5.5822

No of trips ≈ 6

Therefore it would take the truck 6 trips to haul the entire pile of earth.

Answer:

6 trips

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1) subtract 2 from both sides:

-3x≤12

x≥-4(sign flips since we divided by a negative)

so the graph would be  A

since "the equal to" means its a closed circle

Hope this helps!

Answer:

B,A,C

Step-by-step explanation:

Answer:

150 kg

Step-by-step explanation:

The diagonal Piece: √5²+12² = 13

6 pieces: 5, 12, 5, 12, 13, 13

Total length: 2 x(5 + 12 + 13) = 60

Total weight: 60 x 2.5 = 150 kg

Answer:

150 kg

Step-by-step explanation:

The length of the diagonal:

sqrt(12² + 5²)

sqrt(169)

13

Total length:

2(13 + 12 + 5)

2(30)

60m

Mass;

60 × 2.5

150 kg

To solve this you need to use this formula: 1/2Pi x D

So we can multiply 0.5 x 3.14 x 1.7

Your answer is 2.669

Answer:

D. $9.50

Step-by-step explanation:

In total, Jeff spends 21/40 of his money. (1/8+2/5=21/40)

He has 19/40 left.

19/40*20=380/40=9.5

First, let's put 2/5 and 1/8 into similar fractions, in that they have the same denominator.

2/5 = 16/40

1/8 = 5/40

Then, we'll add the fractions together.

16/40 + 5/40 = 21/40

So, Jeff spent 21/40 of his money. We can set up a proportion to find the amount that Jeff spent.

x/20 = 21/40

420 = 40x

x = 10.50

Finally, we'll subtract the amount that Jeff spent from the original amount.

20 - 10.50 = 9.50

Jeff has D. $9.50 left.

Hope this helps!! :)

Answer:

let,there are x sixth graders

then,

24% of x=30

or,24/100×x=30

or,6x/25=30

or,x=(30×25)/6

therefore,

x=125

HOPE IT HELPS

Answer:

7.875 (not sure what your unit is but include it here)

Step-by-step explanation:

3/4 of 4.5 is 3.375

3.375+4.5=7.875

Answer:

3a + b = 7

6x + 8y = 40

9a + 3b is 3*(3a + b)  or 7*3 = 21

3x + 4y is (6x + 8y) /3 = 40 / 3 ≅ 13.3

So now we know that 9a + 3b = 21 and 3x + 4y = 13.3 which means that it is greater because 21 > 13.3

Answer:

C 2.226 times 10^8

Step-by-step explanation:

5.3* 10^4    * 4.2 * 10^3

We multiply the numbers out front

5.3* 4.2 =22.26

We add the exponents

10^(4+3) = 10^7

22.26*10^7

But we are not done yet because The number out front has to be between 1 and less than 10

Move the decimal 1 place to the left and add 1 to the exponent

2.226 * 10 ^(7+1)

2.226*10^8

Answer:

C

Step-by-step explanation:

(5.3 times 10^4) (4.2 times 10^3)

5.3 × 4.2 × 10⁴ × 10³

22.26 × 10⁷

2.226 × 10⁸

Answer:

x = 3 , y = 0

Step-by-step explanation:

Solve the following system:

{y = (2 x)/3 - 2 | (equation 1)

y = 3 - x | (equation 2)

Express the system in standard form:

{-(2 x)/3 + y = -2 | (equation 1)

x + y = 3 | (equation 2)

Swap equation 1 with equation 2:

{x + y = 3 | (equation 1)

-(2 x)/3 + y = -2 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{x + y = 3 | (equation 1)

0 x+(5 y)/3 = 0 | (equation 2)

Multiply equation 2 by 3/5:

{x + y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 3 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 3 , y = 0

To solve the given system of equations, we can use the method of substitution. After obtaining the value of x, we can substitute it back into one of the original equations to solve for y. The solution to the system is x = 3 and y = 0.

The given system of equations is:

y = \frac{2}{3}x - 2

y = -x + 3

To solve this system, we can use the method of substitution. We can rearrange the second equation to solve for y:

y = -x + 3

Now, substitute this value of y into the first equation:

\frac{2}{3}x - 2 = -x + 3

Add x to both sides:

\frac{2}{3}x + x - 2 = 3

Multiply both sides by 3 to eliminate the fraction:

2x + 3x - 6 = 9

Combine like terms:

5x - 6 = 9

Add 6 to both sides:

5x = 15

Divide both sides by 5:

x = 3

Now, substitute the value of x back into one of the original equations to solve for y:

y = -x + 3

y = -3 + 3

y = 0

Therefore, the solution to the system of equations is x = 3 and y = 0.

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Answer:

D.10

Step-by-step explanation:

if you just add the other numbers in place of variable h

13+9=22

12+9=21

11+9=20

10+9=19

only one addition problem adds up to a sum below 20 that being 10 so the answer is D