When solving an equation, Gabrielle's first step is shown below. Which property
justifies Gabrielle's first step?

Original Equation:
3(x + -3) = -1

First Step:
3x + -9= -1

1. associative property of multiplication

2. division property of equality
distributive property of multiplication over addition

3. subtraction property of equality

[tex]\mathfrak{( \frac { 6 x } { y } ) ( \frac { y } { 3 x - 3 } ) } [/tex]

[tex]\mathfrak{ \frac{6xy}{y\left(3x-3\right)} } [/tex]

[tex]\mathfrak{ \frac{6x}{3x-3} } [/tex][tex]\mathfrak{ \frac{6x}{3\left(x-1\right)} } [/tex]

[tex]=\boxed{\mathfrak{\frac{2x}{x-1} } }[/tex]

☆ Option 3 is correct.

[tex]\mathbb{MIREU} [/tex]

Answer:

Hello There!

Your question says that

[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]

Now lets convert mixed fraction to improper fraction

[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]

Now let's simplify..

[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]

Now simplify 22 and 11 so it will look like

[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]

Now lets convert it to mixed fraction...

[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]

So it is the answer

[tex]4 \: \frac{2}{3} \\ \\ [/tex]

The product of the two given fraction is [tex]4\frac{2}{3}[/tex].

The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].

Product of two fractions = Product of their numerators / Product of their denominators.

Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]

= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]

= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]

= [tex]\frac{14}{3}[/tex]

In mixed fraction [tex]4\frac{2}{3}[/tex]

Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].

To learn more about the product of two fractions visit:

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Answer:

8.48

Step-by-step explanation:

36 + 36 = 72

t^2 = 72

t = 6[tex]\sqrt{2}[/tex] = 8.48

Answer: 6

Step-by-step explanation:

Corry's conjecture is right, and the volume follows a pattern

The volume of a cube of side length l is:

[tex]V = l^3[/tex]

For the first cube of length 1 in, the volume is:

[tex]V = 1^3[/tex]

[tex]V = 1[/tex]

For the second cube of length 2 in, the volume is:

[tex]V = 2^3[/tex]

[tex]V = 8[/tex]

For the third cube of length 1 in, the volume is:

[tex]V = 3^3[/tex]

[tex]V = 27[/tex]

So, the total volume is:

[tex]Total =1 + 8 + 27[/tex]

[tex]Total =36[/tex]

The volume of a rectangular prism of base lengths 6 in and height 1 in is:

[tex]Volume = 6^2 \times 1[/tex]

[tex]Volume = 36[/tex]

Assume, he adds a cube of side length 4 in, the volume is:

[tex]V = 4^3[/tex]

[tex]V = 64[/tex]

The total volume would be:

[tex]V =36 + 64[/tex]

[tex]V =100[/tex]

The base length of the rectangular prism would be:

[tex]Length =1+2+3+4[/tex]

[tex]Length =10[/tex]

The volume of the rectangular prism would be:

[tex]Volume = 10^2 \times 1[/tex]

[tex]Volume = 100[/tex]

So, the pattern is:

Cubes                Volumes

1, 2, 3                    36

1, 2, 3,4                  100

Corry's conjecture is right, and the volume follows a pattern

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Answer:

Step-by-step explanation

Answer:

5x + 7x = 180

x = 15

Step-by-step explanation:

5x + 7x = 12x

180/12 = 15

Answer:

8

Step-by-step explanation:

Answer:

h⁰ = 84⁰

f⁰ = 132⁰

g⁰ = 28⁰

Step-by-step explanation:

As we know that sum of all the angles in a triangle is 180⁰, so,

h⁰ + 48⁰ + 48⁰ = 180⁰

h⁰ = 84⁰

Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.

48⁰ + f⁰ = 180⁰

f⁰ = 132⁰

Again, g⁰ can be founded the same way as h⁰.

20⁰ + 132⁰ + g⁰ = 180⁰

g⁰ = 28⁰

HOPE IT HELPS :)

Answer:

Well a triangle itself is worth 180 degrees (Inteirior angles)

your given “a” “b” and you need to find c.

So you can subtract

A is 50

B is 55

So

<BCA= 180- 55-50

Is the answer (b)

Answer:

B

Step-by-step explanation:

A triangle's angles all add up to 180 degrees. If m∠A is 50 and m∠B is 55 then m∠C is 75.

m∠C = 180 - (m∠A - m∠B); which is 180 - 105

180 - 105 is 75; Therefore, m∠C is 75 degrees

Proof: 50 + 55 + 75 = 180

Answer:

85 degrees

Step-by-step explanation:

the inside of a triangle is always 180 degrees.

180-45-59=85

Answer:

2 hours

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Let x represent the time it takes together. Per hour the Equalizer

1/3hr + 1/8hr = 1/x  Multiplying each term by 24x so as all denominators = 1

8x + 3x = 24

11x = 24

x = 2.18 hrs, the time it takes them together

Answer: the first graph (A)

Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade

Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.

Answer:

Y = X times 0.28

Step-by-step explanation:

1. You set it up as a proportionality

12/1 and 3.36/x

The x stands for how much money it takes to get 1 ounce

2. You do the old man line.

12 times x = 3.36 times 1

12x = 3.36

3. Now you divide 3.36 by 12

3.36 divided by 12

.28

4. You insert 0.28 into the problem

12 times 0.28 = 3.36

X = 0.28

So 1 ounce costs $0.28

So Y = X times 0.28

Answer:

Step-by-step explanation:

Answer:

15 in the correct answer

Answer:

97

Step-by-step explanation:

A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL

Answer:

No solution

Step-by-step explanation:

idek

Answer:

y = 3/4x

Step-by-step explanation:

Given:

x1 = -4

y1 = -3

slope (m) = 3/4

Solution:

y - y1 = m ( x - x1 )

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

y + 3 = 3/4 ( x + 4 )

y + 3 = 3/4x + 3

y = 3/4x + 3 - 3

y = 3/4x

Answer:

The first graph is correct.

Step-by-step explanation:

Note that the equation states x ≥ 2.  It includes the "equals" sign, so the graph line should include 2.  This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line.  The dashed line is correct for x>2, but not for x ≥ 2.

Answer:

69

Step-by-step explanation:

The number 75 decreased by 8% means that you are looking for 92% of 75. To find a percent of the number you can multiply a number by the percent in decimal form. So, to find 92% of 75, multiply 75*0.92. This gives you 69. Doing this is the same as finding 8% of 75 and then subtracting.

The number of bacterial population after 5 hours is; 816

N(t) = N_o(1 + r)^(t)

Where;

N(t) is number of bacteria after t hours

N_o is number of bacteria initially

r is growth rate

t is time

N_o = 480

r = 11.2% = 0.112

t = 5

N(5) = 480(1 + 0.112)^(5)

N(5) = 816.14

Read more about exponential growth at; https://brainly.com/question/15316908

A) -3

B) 5

C) -2

D)-6

i have to write 20 characters so sisiasskklsa

Answer:

a) -3

b)5

c)-2

d)-6

Step-by-step explanation:

4 - 7 =-3

4 is positive and 7 is negative

a positive minus a negative is equal to a negative

3 is negative and 8 is positive, but 8 is bigger than 3, so take the sign of the bigger number which is 8.

c) is the same as question b

same signs rule

a negative + a negative is = to negative

positive and a positive is = to a positive

a negative +/_ a positive = a negative

Answer:

Step-by-step explanation:

AND REMEMBER DO ALWAYS READ AND WRITE

Answer:

If x = -3,

then y might equal -6

If y = -20,

then x might equal -13

Step-by-step explanation:

I have used a graph to estimate these answers. See image. If you are learning how to find the line of best fit for a data set, you might be expected to do those calculations, depending on the level of your math class. Many upper level math classes would use technology to find a line of best fit.

See image to see the data set given on an xy-axis in red. The circled areas are where the estimated numbers would lie, where

x = -3 (in blue) and where

y = -20 (in green)

The directions say estimate, so a graph is a good justification for several answers in the general area.

Answer:

7.52

Step-by-step explanation:

5.37 + x = 12.89

In order to solve this equation, we must isolate the variable, x.

1.) To do this, subtract 5.37 on both sides of the equation.

5.37 + x = 12.89

-5.37         -5.37

x = 7.52

Therefore, x = 7.52

Answer:

Answers of given questions are written below :

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\purple{SOLUTION : - }}}}}[/tex]

5.37 + x = 12.89

[tex] \implies{\tt{5.37 + x = 12.89}}[/tex]

[tex] \implies{\tt{ x = 12.89 - 5.37}}[/tex]

[tex] \implies{\tt{ x = 7.52}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{ x = 7.52}}}}}[/tex]

Hence, the value of x is 7.52

[tex]\begin{gathered}\end{gathered}[/tex]

42 = 6x - 24

[tex] \longmapsto{\sf{42 = 6x - 24}}[/tex]

[tex] \longmapsto{\sf{ 6x = 42 + 24}}[/tex]

[tex] \longmapsto{\sf{ 6x = 66}}[/tex]

[tex] \longmapsto{\sf{x = \dfrac{66}{3}}}[/tex]

[tex] \longmapsto{\sf{x = 11}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{ x = 11}}}}}[/tex]

Hence, the value of x is 11.

[tex]\begin{gathered}\end{gathered}[/tex]

10x + 25 = 50

[tex]{\longrightarrow{\rm{10x + 25 = 50}}}[/tex]

[tex]{\longrightarrow{\rm{10x= 50 - 25}}}[/tex]

[tex]{\longrightarrow{\rm{10x= 25}}}[/tex]

[tex]{\longrightarrow{\rm{x= \dfrac{25}{10}}}}[/tex]

[tex]{\longrightarrow{\rm{x=2.5}}}[/tex]

Hence, the value of x is 2.5.

[tex]\rule{300}{2.5}[/tex]

Answer:

5.6

Step-by-step explanation:

if x is -1. multiply -0.6 * -1. Which is -0.6.

Then add -0.6 and 6.2 and the answer you would get is 5.6.

Answer:

that's the answer hope it helps to you

Answer:

1: 3)

2: 2)

4: 3)

5: 4)

6: 4)

Answer:

S (2, - 15 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Using (x₁, y₁ ) = T (0, 3 ) and (x₂, y₂ ) = S (x, y )

Calculate the midpoint using above and equate to coordinates of (1, - 6 )

[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )

x = 2

[tex]\frac{y+3}{2}[/tex] = - 6 ( multiply both sides by 2 )

y + 3 = - 12 ( subtract 3 from both sides )

y = - 15

S has coordinates (x, y ) = (2, - 15 )

Answer:

Point S is at the ordered pair (2,-15)

Step-by-step explanation:

midpoint formula : midpoint ordered pair (x,y) = ( [tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

midpoint x = [tex]\frac{x1+x2}{2}[/tex] ; midpoint y = [tex]\frac{y1+y2}{2}[/tex]

midpoint x = 1 x1 = 0 midpoint y = -6 y1=3

Solve each equation for x2 and y2 to get the points for S.

x = [tex]\frac{x1+x2}{2}[/tex]

1 = (0) +x2 / 2

2 = x2

y = [tex]\frac{y1+y2}{2}[/tex]

-6 = 3 + y2 / 2

-12 = 3 + y2

-15 = y2

(2,-15) are the coordinates to point S.

X/12 = -8

Solve for x by multiplying both sides by 12

X = -96

Answer:

X=12*-8-----> X= -96. multiply 12 by -8