Standardized Test Practice
5. What is the least common denominator
A) x
C) (x + 2)(2x + 3)
B) x(x + 2)
D) x(x + 2)(2x + 3)

Answer:

(12)^2=(n+1)^2

12=n+1

12-1=n

n=11

Step-by-step explanation:

another one

(12)^2-(n+1)^2=0

(12-n-1)(12+n+1)=0

either:-

n=11 or n=-13

[tex]~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13[/tex]

The correct answer is C. This is because the shaded part, the y, is less than the line, so it would be <, but the line is not dotted, so then it would be less than or equal to.

Answer:

b      blank = 29/100

Step-by-step explanation:

2/10 + blank = 49/100

blank = 49/100 - 2/10

We need a common denomonator of r10 and 100. We can use 100.

blank = 49/100 - 20/100

blank = 29/100

Answer:

[tex]\frac{2}{3}[/tex]

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"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.

[tex]\frac{3*8}{4*9} = \frac{24}{36}[/tex]

Find the greatest common factors of 24 and 36, starting with 24

     24:  1, 2, 3, 4, 6, 8, 12, 24

     36:  1, 2, 3, 4, 6, 9, 12, 18, 36

As shown, the greatest common factors are 12, so divide by 12 to simplify.

[tex]\frac{24 / 12}{36/12} = \frac{2}{3}[/tex]

Two-thirds cannot be simplified, so that will be your final answer.

Answer:

a) 2/10

b) 15

c) 30

Step-by-step explanation:

Ratio: 2:3:5 = R:B:Y

If we add them all together, we can find the denominator for the fraction of how many counters are in the bag. 2+3+5 = 10.

If the ratio for R = 2, then the fraction is 2/10 (simplified)

If 9 of the counters are blue, to find the number of the other counters, we multiply the ratio numbers by 3 (because 3 x 3 is 9). So, the number of red counters is (2x3) 6, blue is 9, and yellow is (5x3) 15.

Now, to find the total amount, we can add 6, 9, and 15 together to get 30.

Hope this helps. If you require further explanation, let me know!

- profparis

The solution of the system of equations:

( -16.7, 19.28)

Here we have the system:

4x+3y=9

3x +4y = 36

First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:

x = 36/3 - (4/3)y = 9 - (4/3)y

Now we can replace this in the other equation:

4*(9 - (4/3)y) + 3y = 9

36 - (16/3)y + (9/3)y = 9

- (7/3)y = -36 - 9 = -45

y = (3/7)*45 = 19.28

To get the value of x, we get:

x = 9 - (4/3)*19.28 = -16.7

Then the solution of the system is ( -16.7, 19.28)

If you want to learn about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer: 4/10 chance or 40%

Step-by-step explanation: Vegetables- 4 Others- 6

Check the picture below.

Answer: 1

Step-by-step explanation: Circumference is 2 x 3.14 × radius

6.28 = 6.28 × radius

Radius is 1

Answer:

1/20=10 years old

In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?

50%= younger than 10

1/20=10 years old

1/10=older than 10 younger than 12

70=12 years or older

50%- 10/20

1/20-1/20

1/10-2/20

10/20+1/20+2/20=13/20

70 students =7/20

1/20 = 10 years old.

7/20 divided by 7 = 1/20

70 divided by 7=10

10 students are 10 years old

Answer:

~ 10 years old ~

Step-by-step explanation:

     1/20=10   : )

Answer:

16a^2 - 9b^6

Step-by-step explanation:

16a^2 - 9b^6   ---> 16a² is the square of 4a; 9b^6 is the square of 3b³

This is the difference of 2 squares

4g - 16h --->  4g and 16h are not perfect squares.

25m^2 + 100n^2 ---> this is a sum of squares, not a difference of squares  

2x^2 - 4y^2 ---> 2x² is not a perfect square

Answer: 16a^2 - 9b^6

Answer:

x = - 1

Step-by-step explanation:

I hope this will help you

7013/10

Step-by-step explanation:

first, count the decimal to the right

as you can tell, we can only do it once so therefore we get 10

we then multiply 701.3/1 both sides with 10

then we get out answer 7013/10

Answer:

B.

Step-by-step explanation:

Look at all graphs and find 90 deg on the left side. Follow it to the right until you intersect the graph. then go straight down. You must intersect the x-axis is 5 minutes. The only graph that does this is B.

Answer: B.

I think the answer is B because here's the explenation.

Answer:

0.8

Step-by-step explanation:

2x + 4.8 = 6.4

2x = 6.4 - 4.8

2x = 1.6

x = 0.8

Answer:

Step-by-step explanation:

In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .

Solution : -

[tex] \longmapsto \: 2(x + 2.4) = 6.4[/tex]

Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :

[tex] \longmapsto \: 2x + 4.8 = 6.4[/tex]

Step 2 : Subtracting 4.8 on both sides :

[tex] \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8[/tex]

On further calculations :

[tex] \longmapsto \:2x = 1.6[/tex]

Step 3 : Dividing by 2 on both sides :

[tex] \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} [/tex]

Calculating further :

Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10

[tex] \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} [/tex]

Step 4 : Cancelling 16 by 2 :

[tex] \longmapsto \:x = \frac{8}{10} [/tex]

[tex] \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}[/tex]

Verifying : -

We are verifying our answer by substituting value of x in given equation. So ,

Therefore, our value for x is correct .

Answer:

volume = 10 x 8 x 6 = 480

Step-by-step explanation:

that’s the volume equation length x width x height

Check the picture below.

Answer:

b. d > 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for d, isolate it on one side of the equation.

|d+4|>10

First, you have to subtract by 4 from both sides.

[tex]\sf{d+4-4 < -10-4}[/tex]

Solve.

Add or subtract the numbers from left to right.

-10-4=-14

[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]

Subtract by 4 from both sides.

[tex]\sf{d+4-4 > 10-4}[/tex]

Solve.

Subtract the numbers from left to right.

10-4=6

[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer: A

Step-by-step explanation:

Answer:

154π cm²

Step-by-step explanation:

Radius (r) = 7 cm

Height (h) = 4 cm

Surface area of cylinder

= 2πr (h + r)

= 2π (7) (4 + 7)

= 2π (7) (11)

= 2π (77)

= 154π cm²

______

Hope it helps ⚜

Answer:

154π cm²

Step-by-step explanation:

Formula for the Surface Area of a Cylinder

Solving

Answer:

A and B and C

Step-by-step explanation:

D and E are both resulting in answers that are not 2 and 1/2

Answer:

Right Triangle, the distance between these two coordinates is 5.83 in whatever unit you're measuring.

Step-by-step explanation:

Generally when you're using triangles to find the distance between two graphed points, you're using a right triangle.

[tex]9 + 25 = 34\\\sqrt{34}=5.83[/tex]The reason behind that being you can draw lines on the x and y axis of these points and find where they connect. After doing so, you can directly connect the two points and create a right triangle.

To find the distance between the two points using a right triangle, we can use the formula for the hypotenuse: [tex]a^2 + b^2=c^2[/tex]

A and B is the distance between the point and where the lines you've drawn intersect. C is the resulting distance between the two points.

Plugging in A and B, which is 3 and 5, we can find C. 3 squared is 9 and 5 squared is 25.

[tex]3^2 + 5^2 = 9 + 25[/tex]

Now we add the two and find the square root.

[tex]9+25=34\\\sqrt{34} =5.83[/tex]

Your answer is 5.83

Answer:

956 glass tables would be left.

Step-by-step explanation:

Well, if each person bought a single table and since it would be impossible for all of them to by more than 1 or to buy an amount between 2 and 1, we can find the answer by subtracting 5472 from 6428.

6428 - 5472 is equal to 956.

Answer:

5 feet long and 1 foot wide, and vise versa.

Step-by-step explanation:

First of all, we can make pairs.

Then just look at what I do

(6, 0)       <= This can't be possible

(5, 1)       <= This is the largest

(4, 2)       <= This isn't the largest

(3, 3)       <= This isn't the largest

(2, 4)       <= This isn't the largest

(1, 5)       <= This is the largest

(0, 6)       <= This can't be possible

The ones labled "This is the largest" are the correct ones

Answer:

adult tickets =14

child tickets =71

Step-by-step explanation:

x is adult tickets

y is child tickets

x+y=85

10x+5y=495

y=85-x

2x+y=99

2x+（85-x）=99

x=99-85=14

y=85-x=85-14=71

Answer:

x= -19/3

y= 31/33

Step-by-step explanation:

I hope this helps:)

Answer:

Step-by-step explanation:

Given graph

Changes

Solving

Shifted up by 2 units

Vertically compressed by factor of 0.4

Answer:

A(should the military adopt the new weapon system called "Skynet?"

Step-by-step explanation: