simplify the expression using the distributivie property 24(1020)

Q1.  Look at the picture.

[tex]C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4[/tex]

Q2. Look at the picture.

[tex]A.\ 4-t[/tex]

Q3.

Put the value of x = 2 to the equation 3x + y = 5:

[tex]3(2)+y=5[/tex]

[tex]6+y=5[/tex]       subtract 6 from both sides

[tex]y=-1\\\\F.\ -1[/tex]

Q4.

[tex]\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right[/tex]

Substitute (*) to (**):

[tex]2m+3(3m-11)=0[/tex]            use distributive property

[tex]2m+(3)(3m)+(3)(-11)=0[/tex]

[tex]2m+9m-33=0[/tex]       add 33 to both sides

[tex]11m=33[/tex]      divide both sides by 11

[tex]m=3[/tex]

Put the value of m to (*):

[tex]n=3(3)-11\\\\n=9-11\\\\n=-2[/tex]

[tex]C. (3,\ -2)[/tex]

Q5.

w - width

3w - length

24 in - the sum of length and width

The equation:

[tex]w+3w=24[/tex]

[tex]4w=24[/tex]           divide both sides by 4

[tex]w=6\ in[/tex]

[tex]3w=3(6)=18\ in[/tex]

[tex]J.\ 18\ inches[/tex]

Answer:

j. 18 inches

Step-by-step explanation:

Answer:

-2  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Maria's Team

6 points for guessing correctly 6 times

subtract 8 points for skipping.

6 - 8= -2

Answer:

-2

Step-by-step explanation:

Answer:

An infinite amount

Step-by-step explanation:

Because numbers stretch on infinitely you literally can keep multiplying the starting value by numbers forever to keep equal fractions.

Answer:

21.33 to nearest hundredth

Step-by-step explanation:

Inverse Variation is y = k / x where k is a constant.

Plug in the given values to find k:-

16 = k/4

k = 4*16 = 64 so the equation  of variation is y = 64/x.

So when x = 3,   y = 64/3 = = 21.33 to nearest hundredth.

The value of y when x = 3 is 21.33

The value of y = 21.33

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

The value of x = 4

The value of y = 16

Now , the value of y is inversely proportional to x

So ,

y ∝ 1/x

y = k/x

where k is the constant of proportionality

So , k = yx

Now , substituting the value of x and y in the equation , we get

k = 16 x 4

k = 64

So , when the value of x = 3 ,

y = k / x

y = 64 / 3

y = 21.33

Hence , The value of y when x = 3 is 21.33

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Bank of Peace= 15000(1+0.025)³=£16153.36

Bank of Trust=15000(1+0.038)=£15570

£15570(1+0.01)=£15882.95

Bank of Peace is the best choice.

I would choose the  Bank of Peace to get the most of my savings.

Formula for calculating the compound value of the savings at the Bank of Peace = FV = P (1 + r)^n

FV = Future value  

P = amount deposited  

R = interest rate  

N = number of years

£15,000 x (1.025)^3 = £16,153.36

Interest earned at the Bank of Trust in the first year = £15,000 x 0.038 = $570

Total amount at the end of the first year = $570 + £15,000 = £15,570.

Value for the two extra years = $15,570 x (1.01)^2 =$15,882.96

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Answer:

50%

Step-by-step explanation:

47 is half of 94 which is the same thing as 50% of 94

Answer:

94% of 47 is just 47 x 0.94 ¯\_(ツ)_/¯

So 44.18

Please mark brainliest which would help alot.

Step-by-step explanation:

Answer:

$8.2

Step-by-step explanation:

The final price of the coat = $45 -0.2 * $45 = $36

The final price of the suit = $95 − 0.3 * $95 = $66.5

sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2

Answer: Parallelogram,  Area = 25 units²  

Step-by-step explanation:    

Step 1: Find the lengths of all of the sides (use Pythagorean Theorem, distance formula, or count the spaces on the graph)

Step 2: Find the slopes of each line

Step 3: Evaluate the slopes to see if any are parallel (same slope) or perpendicular (opposite reciprocal slopes)  

see attachment

Answer:

1/12

Step-by-step explanation:

Since the pizza was cut into 6, each of the slices = 1/6.

But because the pizza was then cut into half, it makes each slice = 1/12

6 x 2 = 12

Therefore the answer is 1/12.

Answer:

The correct answer is $2,50.

Step-by-step explanation:

The unit rate is what we use to determine the price of a single unit, when something is sold in a group, as in this case 5 ounces.

We have been told that $ 12.50 is the price for 5 ounces, but what we want to know is how much 1 ounce costs.

To determine this, what we must do is divide the total price by the quantity of ounces, in order to determine the unit price:

12.50 / 5 = 2.50

In this way we can verify that the unit price of 5 ounces is $ 2.50

The correct answer is $2,50,  is the unit rate for $12.50 for 5 ounces.

Here, we have,

The unit rate is what we use to determine the price of a single unit, when something is sold in a group, as in this case 5 ounces.

We have been told that $ 12.50 is the price for 5 ounces, but what we want to know is how much 1 ounce costs.

To determine this, what we must do is divide the total price by the quantity of ounces, in order to determine the unit price:

12.50 / 5 = 2.50

In this way we can verify that the unit price of 5 ounces is $ 2.50.

Hence, The correct answer is $2,50,  is the unit rate for $12.50 for 5 ounces.

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[tex]\dfrac{13}{10}=\dfrac{13}{10}\cdot100\%=13\cdot10\%=130\%\\\\\dfrac{13}{10}\ \text{of a number is}\ 130\%\ \text{of a number}.[/tex]

Answer:

130%

Step-by-step explanation:

Answer:

(x + 1)² + 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a (x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

to obtain this form use the method of completing the square

• add/subtract (half the coefficient of the x-term)² to x² + 2x

= x² + 2(1)x + 1 - 1 + 5

= (x + 1)² + 4 ← the second option

Answer:

3

Step-by-step explanation:

If you look at this number line, all you have to do is count how many times it takes to get from -3 to 3. And you get 3.

Answer:

a=54

Step-by-step explanation:

first multiply  by -16 on both sides and you will get a+26=80 then subtract 26 on bothsides then you will get a=54 and 54 is your answer

Answer:

Store A is the better buy

Step-by-step explanation:

Lets find out how much it will cost for a pie at each store

Store A

$12 /3 pies   = $4 per pie

Store B

$10/2 pies  = $ 5 per pie

Answer:

y = 2(m + 1/2)^ -25/2

Step-by-step explanation:

vertex form is:

y = 2m^2 + 2m - 12

y + 12 + ( )___ =( ) 2m^2 + 2m + ___

Because a is not one, you must divide the entire right side by the a value, which is 2. Then place the 2 in the parenthesis.

y + 12 + (2)__ = (2) m^2 + m + __

Take half of b, b being one.

Half of be is 1/2. Now square it to get 1/4. Place that value in the blanks.

y + 12 + (2)1/4 = (2) m^2 + m + 1/4

Now simplify the left side and factor the right side.

y+ 12 + 1/2 = 2(m + 1/2)^2

y + 25/2 = 2(m + 1/2)^2

Subtract 25/2 from both sides.

y = 2(m + 1/2)^ -25/2

Answer:

The letter "n" can be considered a term, a variable, and an expression. It cannot be considered a "constant", therefore the answer is "a constant".

Answer:

The length of KM is [tex]\sqrt{109}[/tex] units.

Step-by-step explanation:

Given the statement:  KLMN is a trapezoid, ∠N= ∠KML, FD=8, [tex]\frac{LM}{KN}=\frac{3}{5}[/tex], F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, [tex]ME=3\sqrt{5}[/tex].

From the given information it is noticed that the point F and D are midpoints of KL and MN respectively.

The height of the trapezoid is [tex]3\sqrt{5}[/tex].

Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.

Since [tex]\frac{LM}{KN}=\frac{3}{5}[/tex], therefore LM is 3x and KN is 5x.

[tex]\frac{3x+5x}{2}=8[/tex]

[tex]\frac{8x}{2}=8[/tex]

[tex]x=2[/tex]

Therefore the length of LM is 6 and length of KN is 10.

Draw perpendicular on KN form L and M.

[tex]KN=KA+AE+EN[/tex]

[tex]10=6+2(EN)[/tex]                (KA=EN, isosceles trapezoid)  [tex]EN=2[/tex]

[tex]KE=KN-EN=10-2=8[/tex]

Therefore the length of KE is 8.

Use Pythagoras theorem is triangle EKM.

[tex]Hypotenuse^2=base^2+perpendicular^2[/tex]

[tex](KM)^2=(KE)^2+(ME)^2[/tex]

[tex](KM)^2=(8)^2+(3\sqrt{5})^2[/tex]

[tex]KM^2=64+9(5)[/tex]

[tex]KM=\sqrt{109}[/tex]

Therefore the length of KM is [tex]\sqrt{109}[/tex] units.

Answer:

D) How fast you are moving

Step-by-step explanation:

Well, if you're talking about speed, then we don't want distance yet, do we? If you were talking about how far someone ran, then distance would be a piece of data. But speed is "how fast", so something tells me the answer is D.

Bye! Hope this helped. :)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The number of boys is 68

The number of girls is 56

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation

2x + 4y = 6 is an equation.

We have,

Total number of students = 124

Number of boys = x + 12

Number of girls = x

Now,

x + 12 + x = 124

2x + 12 = 124

Subtract 12 on both sides

2x = 124 - 12

2x = 112

Divide 2 on both sides.

x = 56

The number of boys.
= x + 12

= 56 + 12

= 68

The number of girls.

= 56

Thus,

The number of boys is 68

The number of girls is 56

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The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 equals 40,320.

In Mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For instance, 8! means multiplying together 8, 7, 6, 5, 4, 3, 2 and 1. So, the calculation would look like this: 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320. Therefore, the value of 8! is 40,320.

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<, > - dotted line

≤, ≥ - solid line

[tex]2x-3y<18\qquad\text{subtract 2x from both sides}\\\\-3y<-2x+18\qquad\text{change the signs}\\\\3y>2x-18\qquad\text{divide both sides by 3}\\\\y>\dfrac{2}{3}x-6\\\\y=\dfrac{2}{3}x-6-\text{It's a linear function}\\\\for\ x=0\to y=\dfrac{2}{3}(0)-6=0-6=-6\to(0;\ -6)\\\\for\ x=6\to y=\dfrac{2}{3}(6)-6=2(2)-6=4-6=-2\to(6;\ -2)[/tex]

Answer:

11/12

Step-by-step explanation:you have to turn all the mixed numbers into improper fraction so 1 1/3 is 16/12 1 1/4 is 15/12 and if you add them you get 2 7/12 and that minus 3 6/12 is 11/12

There are 11/12 ounces of black pepper in Catalina's seasoning packet.

Catalina uses a 3 1/2 ounce packet of seasoning for her steaks.

This packet contains 1 1/3 ounces of garlic powder and 1 1/4 ounces of onion powder.

To find out how many ounces of black pepper are in the packet, we need to subtract the combined weight of the garlic and onion powders from the total weight of the seasoning packet.

Garlic powder: 1 1/3 ounces = 4/3 ounces

Onion powder: 1 1/4 ounces = 5/4 ounces

Total seasoning packet: 3 1/2 ounces = 7/2 ounces

We then add the amounts of garlic and onion powders to get their combined weight:

4/3 + 5/4 = (16 + 15) / 12 = 31/12 ounces

The next step is to subtract the combined weight of the garlic and onion powder from the total weight of the seasoning packet:

7/2 ounces - 31/12 ounces = (7\*6 - 31) / 12 = (42 - 31) / 12 = 11/12 ounces.

Answer:

Step-by-step explanation:

I think that the answer is x-6

Answer:

Step-by-step explanation:

heyq

The correct answer is:

7/10

Explanation:

Finding the totals of each column and row, we find:

There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

There are a total of 10+6 = 16 children.

We start with the information that the team is a member of the softball league.  There are 10 children in this league; this is the denominator of the probability.

There are 7 children in the 7-9 division that are in the softball league.  This gives us the probability 7/10.

please you are a student study well especially graph is easy thing to do.

Answer:

A. 2/5 or 40%

B. 1/5 or 20%

C. 3/5 or 60%

Answer:

B -8

Step-by-step explanation:

you start with -5 add -2 to make -7

add -1 to -7 to get -8 and that is your answer

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The temperature at the mountain base camp dropped from -5 degrees Celsius on Wednesday to -7 degrees Celsius Thursday morning, and finally to -8 degrees Celsius on Thursday evening.

To solve this, we first have to know the temperature on Wednesday, which is −5 degrees Celsius. On Thursday morning, the temperature was 2 degrees Celsius lower than Wednesday, so we subtract 2 from -5 which gives us -7 degrees Celsius. By Thursday evening, the temperature had dropped another 1 degree Celsius, so we subtract 1 from -7, resulting in a base camp temperature of -8 degrees Celsius.

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Answer:

5.00 a yard

Step-by-step explanation:

5.4 + 6.2 = 11.6

58.00 divided by 11.6 =

5

5.00 a yard

Answer:

$5 per yard

Step-by-step explanation:

Add 6.2 and 5.4

You get 11.6

Divide 11.6 by 58

The answer is 5