21 is a supplement of 22, and mZ1 = 123°. Z2 is a complement of 23. Find m23.
O
mZ3 =

Answer:

C

Step-by-step explanation:

The equatipn of the function that represents the same relationship is

h(x)=-3x-10.5

The slope intercept form of equation of line is y=mx+b

where m is the slope and b is the y intercept .

We are given with a table that represents the linear function

Pick any two points from the table to find out slope

(-3.5,0) and (-1,-7.5)

[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{-7.5-0}{-1+3.5}=-3[/tex]

Now we find out y intercept b . use point slope form

[tex]y-y_1=m(x-x_1)\\m=-3 and (-3.5,0)\\y-0=-3(x+3.5)\\y=-3x-10.5[/tex]

The equation of the function that represents the same relationship is

h(x)=-3x-10.5

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150.7

To solve this, we first turn both the fractions into decimals :

[tex]\frac{1}{5} = 0.2\\[/tex]    (add this to 426 to get 426.2)

[tex]\frac{1}{2} = 0.5[/tex]    (add this to 275 to get 275.5)

Then, just solve the equation :

426.2 - 275.5 = 150.7

Answer:

525 minutes

Step-by-step explanation:

Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.

Her monthly budget is $29.50.

Let Tamara can make a maximum number of n minutes call in a month.

So, call charges for n minutes = $0.02n

Total monthly expenses on her phone = 19+0.02n

As her monthly budget is $29.50.

So, 19+0.02n=29.50

0.02n=29.50-19

0.02n=10.50

n=10.50/0.02

n=525

Hence, she can make a maximum of 525 minutes call.

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

∴ a = -1 ⇒ 1st term

∴ d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

∴ a[tex]_{n}[/tex] = 5 - 6n

∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

The probability  that Amy will reach in the jewelry box  and pull out a necklace that is not silver is 3/20 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the probability  that Amy will reach in the jewelry box  and pull out a necklace that is not silver:

Step 1 - According to the given data, the probability of reaching into the  jewelry box and pulling out a silver  necklace is 0.85.

Step 2 - The overall probability is 1.

Step 3 - So, the probability  that Amy will reach in the jewelry box  and pull out a necklace that is not silver is calculated as:

P = 1 - 0.85

P = 0.15

P = 3/20

Therefore, the correct option is C).

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Answer:

-6 degrees

Step-by-step explanation:

9 degrees below zero is the same as -9, so -9 + 3 = -6

The equivalent expression is [tex]x^{16}y^{22}[/tex]

Answer:

1,872 candy in total :)

Step-by-step explanation:

Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.

Step-by-step explanation:

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Answer:

9 pounds of chocolate candy

6 pounds of sugar candy

Step-by-step explanation:

x will represent pounds of chocolate candies used

y will represent pounds of sugar candies used

x + y = 15

x · $7.00 + $2.00 · y = $5.00 · 15

x = 15 - y

(15 - y) · $7.00 + $2.00 · y = $5.00 · 15

105 - $5.00 · y = 75

105 - 75 = $5.00 · y

$30 = $5.00 · y

$30 ÷ $5 = y

$30 ÷ $5 = 6

y = 6

x + y = 15

x + 6 = 15

x + 6 - 6 = 15 - 6

x = 9

Explanation

The probability of getting the correct answer is 2/5. This means there are 2 events of getting it right out of 5 events total. Since there are 2 events of getting it right, there are 5-2 = 3 events of getting it wrong.

The odds against getting the right answer is 3:2. We list the number of ways to get it wrong first, a colon, then the number of ways of getting it right.

Step-by-step explanation:

yes dear. .............

Answer:

80%

Step-by-step explanation:

Hope this helps :)

Answer:

152

Step-by-step explanation:

6840 divided by 45 is 152

Answer:

Mean = 12.85714

Median = 15

Range = 15

Step-by-step explanation:

Mean:

5 + 15 + 10 + 20 + 15 + 10 + 15 = 90

90 / 7 = 12.85714

Median:

5, 10, 10, 15, 15, 15, 20

Median = 15

Range:

20 - 5 = 15

Answer:

The correct Option is Option A

Account B because the principal of Account B is $300 and the principal for Account A is $150

Step-by-step explanation:

Interest earned from Account A = $ 4.50

Interest earned from Account B = $22.50

Time t = 18 months

Interest rate for Account A = 2%

Interest rate for Account B = 5%

We need to find which account has greater principal

The formula used to calculate principal is: [tex]Interest=Principal\times r \times t[/tex]

where r is rate and t is time

Finding Principal for Account A:

Interest earned from Account A = $ 4.50

Time t = 18 months = 1.5 years

Interest rate for Account A = 2% = 0.02

Putting values and finding Principal

[tex]Interest=Principal\times r \times t\\4.50=Principal\times0.02\times1.5\\Principal=\frac{4.50}{0.02\times1.5} \\Principal=\frac{4.50}{0.03} \\Principal=150[/tex]

So, The Principal Amount for Account A = $150

Finding Principal for Account B:

Interest earned from Account B = $ 22.50

Time t = 18 months = 1.5 years

Interest rate for Account A = 5% = 0.05

Putting values and finding Principal

[tex]Interest=Principal\times r \times t\\22.50=Principal\times0.05\times1.5\\Principal=\frac{22.50}{0.05\times1.5} \\Principal=\frac{22.50}{0.075} \\Principal=300[/tex]

So, The Principal Amount for Account B = $300

So, the correct Option is Option A

Account B because the principal of Account B is $300 and the principal for Account A is $150

Answer:

ok

Step-by-step explanation:

Answer:

All natural numbers are whole numbers

Step-by-step explanation:

Answer:

y=x-5

Step-by-step explanation:

2x-2y=10

1.) subtract 2x from both sides

-2y=-2x+10

2.) Divide by -2 to get y by itself

y=x-5

Answer:

y= x+5

Step-by-step explanation:

y =mx+b is slope intercept form

Answer:

1476:1845

Step-by-step explanation:

4+5=9

4÷9 ×3321

And

5÷9=3321

1476:1845

Answer:

Step-by-step explanation:

Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.

I'm going to assume you mean Constant instead of contestant so

Constant: Terms without variables

Example: 5x+2x+7

5x and 2x are like terms

7 is a Constant

*ANSWER: Crustacean, by just dividing aquariums, and the crustceans, there's more Crustaceans.

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

Answer: no, because it’s he total distance of 32 miles is repeated in the table

Step-by-step explanation:

I passed the test

Answer:

x=26/3

Step-by-step explanation:

3x-10=16

add 10 to both sides

3x=16+10

simplify

3x=26

divide both sides by 3

x=26/3

Total calories intake of Priti is 180.9 calories

Given that;

Number of calories in 100g banana = 84 calories

Number of calories in 100g yoghurt = 87 calories

Amount of banana and yoghurt Priti have = 60g and 150g respective

Find:

Total calories intake of Priti

Computation:

Total calories intake of Priti = 60[84/100] + 150[87/100]

Total calories intake of Priti = 50.4 + 130.5

Total calories intake of Priti = 180.9 calories

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Answer: I think the answer is x = 4

Step-by-step explanation: 28 = 7x

                                           /7       /7

                                             4   =  x

Answer:

The property used here is: Multiplication property of Equality

Step-by-step explanation:

Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways

Way 1: Solving using proportion:

[tex]\frac{x}{4}=\frac{36}{16}[/tex]

By cross multiplying:

[tex]16x=144[/tex]

Divide both sides by 16

[tex]x=9[/tex]

Way 2:

She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps

Multiply both sides by 4

[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]

We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]

The property used here is: Multiplication property of Equality

The property states that if A , B and C are real numbers then

A = B and AC = BC are equivalent.

Answer:

C

Step-by-step explanation: