How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and
y > 2x + One-third?

Answer:

3 is the coefficient

Step-by-step explanation:

The number in front of the variable is called the coefficient

3x

3 is the coefficient

x is the variable

Answer:

5+8 = 13

5:8

Girls

8÷5 × 45

== 28

hope it helped

Answer:

75 girls

Step-by-step explanation:

[tex]\dfrac{5}{8} \ are\ girls[/tex]

[tex]\dfrac{8-5}{8}=\dfrac{3}{8} \ are \ boys[/tex]

Let the total children = x

[tex]\dfrac{3}{8} \ of \ x = 45\\\\\dfrac{3}{8}*x = 45\\\\x =45*\dfrac{8}{3}= 15 * 8\\[/tex]

x = 120 children

Number of girls = 120 - 45 = 75

Answer:

yes, they are proportional

Step-by-step explanation:

6/9 is just three time as big as 2/3 but they are basically the same fraction

Answer:

Step-by-step explanation:

yes, it is proportional

6/9 = 2/3

18 = 18

The volume of a cylinder is found by using the formula V = pi x r^2 x h where r is the radius and h is the height.

Using the given volume and radius calculate the height:

169.56 = pi x 1.5^2 x h

169.56 = pi x 2.25 x h

169.56 = 7.065 x h

H = 169.56/7.065

H = 24 inches

The answer is the height is 24 inches

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.

Answer:

Step-by-step explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that I win the first prize and my mom wins the second prize would be 8/720

Answer:

A) it will become 300,000 in the next 10 years.

Answer:

(-11[2-25/ l-2l + 5]

(11[2-25/2+5]

(11[23/7]

11(3.28571428571)

36.1428571429

Answer:

450

Step-by-step explanation:

9×50=450

have a good day

Answer:

jndfjhasbfjashdfbasjdfbjashbdcjashdbjcbjhasdcbjasdcbjashdcbjashcdbjadhcbasdhcb

Step-by-step explanation:

Answer:

(4x^2 - 2)^2 - (4x^2)^2 = 4(1 - 2x)(1 + 2x)

16x^4 - 16x^2 + 4 - 16x^4 = 4(1 - 2x)(1 + 2x)

4 - 16x^2 = 4(1 - 2x)(1 + 2x)

4(1 - 4x^2) = 4(1 - 2x)(1 + 2x)

4(1 - 2x^2)(1 + 2x) = 4(1 - 2x)(1 + 2x)

Answer:

26.74

Step-by-step explanation:

38.20 x 0.70

= 26.74

Answer:

Step-by-step explanation:

xy = 864

x + y = 60                     Solve for y in the second equation

y = 60 - x                      

x * (60 - x) = 864          Remove the brackets.

60x - x^2 = 864           Put in order of powers and subtract 864

-x^2 + 60x - 864 =0    Multiply through by -1

x^2 - 60x + 864 = 0

This factors

(x - 36)(x - 24) = 0

Either

x - 36 = 0    in which case

x = 36

or

x - 24 = 0

x = 24

The two numbers are x = 36 and y = 24

of x = 24 and y = 36

Answer:

8

Step-by-step explanation:

if it's saying that 32/52 is equal to x/13, then we know that 32/52 is divisible by the mystery fraction.

since both fractions have a denominator, divide them.

52÷13=4

then, divide the answer, 4, by 32.

32÷4=8.

therefore, your answer is 8.

hope this helps!

Answer:

8

Step-by-step explanation:

A trick with equal fractions will be that the cross multiply will create equal answers

13(32) = 52(?)

To find the missing number, just divide the known product by the missing number's multiplicand.

? = 13(32)/52 = 8

To verify

13(32) = 416

52(8) = 416

Yup!

Answer:

B. |-6| < |-8|

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Answer:

1 49/128

Step-by-step explanation:

3/16. × 7 12/32

3/16  * 236/32

177/128

1 49/128

Step-by-step explanation:

She earns $1046 that week

Answer:

y = 3x - 2

Step-by-step explanation:

Parallel lines have the same gradient in this case 3 is the gradient.

We will use the point (2,4) to form our own equation.

4 will be y, 3 will be m, 2 will be x

All we need is to find the C in the equation y=mx + c

4 = 3(2) + c

4 = 6 + c

C = -2

Therefore;

y = 3x - 2

Answer: The answer you would be looking for is 126.

Step-by-step explanation:

If theres 21 you are multiplying by 6 and that is 126

Step-by-step explanation:

using a positive exponent

4^-9 = 1/ 4^9

__________

[tex] \: [/tex]

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

[tex] {4}^{ - 9} = ...[/tex]

[tex] \longmapsto \frac{1}{ {4}^{9} } [/tex]

[tex] \longmapsto \frac{1}{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4} [/tex]

[tex] \longmapsto \blue{ \frac{1}{262.144}} [/tex]

Answer:

43/7

Step-by-step explanation:

6  1/7

First, you need to multiply 6 by 7, then add 1

43/7

Answer:

[tex]\frac{43}{7}[/tex]

Step-by-step explanation:

6 x 7 + 1

there is 6 whole fractions so it would be [tex]\frac{7}{7}[/tex] 6 times then add the [tex]\frac{1}{7}[/tex]

which would be [tex]\frac{43}{7}[/tex]

hopefully that made sense!

Answer:

9.17

Step-by-step explanation:

9.20-0.03=9.17

Answer:

9.17

Step-by-step explanation:

9.20

-0.03

_____

9. 17

Answer:

2600

Step-by-step explanation:

you added 2;500 to the 100

Answer:

0.607, 6.07, 60.7, 607

Step-by-step explanation:

My answer would be 66

The LCM of 22 and 33, using prime factorization, is 66.

A number system is defined as a system of writing to express numbers.

We have to find LCM of 22 and 33 using prime factorization

Factor each term into prime factors

22 = 2 x 11

33 = 3 x 11

Identify all of the unique prime factors of these two numbers.

Finally, we can find the LCM by multiplying each of these prime factors raised to their highest power that appears in either of the two factorizations.

LCM(22, 33) = 2x 3 x 11

LCM(22, 33) = 66

Therefore, the LCM of 22 and 33, using prime factorization, is 66.

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Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

3x

3

=

−6.333333

3

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

Answer:

A right triangle needs to have all the sides of the same length. Since this obviously does not, it is not a right triangle. Infact, this is a scalene triangle because all of its sides are unequal.

Answer:

115 square yards

Step-by-step explanation:

yeah-ya....... right?

The area of the figure is 115 yd².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

A figure:

This can be assumed to have two rectangles and one square.

Two rectangles are equal with dimensions:
Length = 9 yd

Width = 5 yd

The square has side = 5 yd.

Now,

Area of the figure.

= 2 x area of rectangle + area of the square

= 2 x (length x width) + side²

= 2 x (9 x 5) + 5²

= 2 x 45 + 25

= 90 + 25

= 115 yd²

Thus,

The area is 115 yd².

Learn more about rectangles here:

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