Tell whether the given number is a solution of each question. ( Must show work for credit)


1. 9 = 2a + 3; 3


2. 5n - (-30) = 5; 7


3. 4.4r - 2.8 = 1.6; 1​

Answers

Answer 1

Answer/Step-by-step explanation:

1. [tex] 9 = 2a + 3 [/tex] ; 3

Let's solve for a.

[tex] 9 - 3 = 2a [/tex] (subtraction property of equality)

[tex] 6 = 2a [/tex]

[tex] \frac{6}{2} = a [/tex] (division property of equality)

[tex] 3 = a [/tex]

[tex] a = 3 [/tex]

Therefore, 3 is a solution to 9 = 2a + 3

2. [tex] 5n - (-30) = 5 [/tex] ; 7

[tex] 5n + 30 = 5 [/tex] (- × - = +)

[tex] 5n = 5 - 30 [/tex] (Subtraction property of equality)

[tex] 5n = -25 [/tex]

[tex] \frac{5n}{5} = \frac{-25}{5} [/tex] (division property of equality)

[tex] n = -5 [/tex]

Therefore, 7 is not a solution of [tex] 5n - (-30) = 5 [/tex]

3. [tex] 4.4r - 2.8 = 1.6 [/tex] ; 1

[tex] 4.4r = 1.6 + 2.8 [/tex]

[tex] 4.4r = 4.4 [/tex]

[tex] \frac{4.4r}{4.4} = \frac{4.4}{4.4} [/tex]

[tex] r = 1 [/tex]

Therefore, 1 is a solution of [tex] 4.4r - 2.8 = 1.6 [/tex].


Related Questions

The radius of a volleyball is 0.05 m, calculate its volume.​

Answers

Answer:

0.00052m

Step-by-step explanation:

Step-by-step explanation:

radius of volleyball= 0.05m

volume = ?

we know,

volume=4/3πr^3

=4/3×0.00039

=0.0005m^3 #

A package of 24 trading cards sells for $4.99 Based on this price, what is the price per card

Answers

Answer:

4.80961924

Step-by-step explanation:

A $60 skateboard is only $51 after a sale. Find the percent of discount

Answers

Answer:

15% off

Step-by-step explanation:

51=60x
—- ——
60 60

0.85=x

Therefore to find the percent discount subtract 1 (which is 100%)-0.85
This gives you 0.15, or a 15% discount.

You can check by multiplying 60 by 0.15, which gives you 9, then subtracting 60-9, which gives you 51.

15% discount.

Hope this helps!!

Two sides of a rectangle iPhones are five and 5/8 feet long other two sides of 6 1/4 feet long what is the perimeter

Answers

Answer:

Here it is!

Step-by-step explanation:

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 2525 dollars and a standard deviation of 88 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 2828 dollars in interest

Answers

Complete Question

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 25 dollars and a standard deviation of 8 dollars. (Round all decimals to at least 3 places.) (a) What proportion of the bank's Visa cardholders pay more than 28 dollars in interest

Answer:

0.354

Step-by-step explanation:

We solve for z score in this question.

The formula is given as:

z = (x-μ)/σ, where

x is the raw score = $28

μ is the population mean = $25

σ is the population standard deviation = $8

z= 28 - 25/8

z = 0.375

P-value from Z-Table:

P(x<28) = 0.64617

P(x>28) = 1 - P(x<28)

= 1 - 0.64617

= 0.35383

Approximately to 3 decimal places = 0.354

The proportion of the bank's Visa cardholders pay more than 28 dollars in interest is 0.354.

Day
Distance
(miles)
1
Tuesday
Wednesday
Thursday
214
1%
Jesse is training for his track meet on Saturday. This chart shows the number of miles he ran on Tuesday, Wednesday, and Thursda
How many mites did Jesse run on these 3 days

Answers

Answer:

This is very unclear however if your miles are 214 and you need 1% of the miles you can multiply it by 0.01 and the answer would be 2.14 miles

Find the distance between the two points rounding to the nearest tenth (if necessary). (-6,5) and (3,-7)​

Answers

Steps:

Distance Formula = SQRT ( (X2-X1)^2 - (Y2-Y1)^2) )

Then,

X2: 3
X1: -6
Y2: -7
Y1: 5

Now,

D: SQRT ( (X2-X1)^2 + (Y2-Y1)^2) )
= SQRT ( (3+6)^2 + (-7-5)^2) )
= SQRT ( (9)^2 + (-12)^2) )
= SQRT ( 81 + 144 )
= SQRT ( 225 )
= 15

The Answer is 15 Units

The distance between points (-6,5) and (3,-7)​ is 15 units.

How to find the distance between two points?

In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Given the points  (-6,5) and (3,-7)​

Here x₁ = -6 , x₂ = 3

y₁ = 5 and y₂ = -7

So,

[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]

d = √225

d = 15 units.

Hence "The distance between points (-6,5) and (3,-7)​ is 15 units".

To learn more about the distance between two points,

https://brainly.com/question/24485622

#SPJ2

I’m stuck on this question, can someone help me please?

Answers

Answer:

I think its 110

Step-by-step explanation:

Write the set that represents the set of people surveyed who subscribe to at least one of the two news sources given.

Answers

Complete  Question

The complete question is shown on the first uploaded image

Answer:

The correct option is  d

Step-by-step explanation:

From the question we are told that

   The set of people in a certain community who were asked if they subscribe to an information source is  U

    The  set that subscribes to The Daily Informer is  D

      The set that subscribe to News Magazine is  N

Here the universal set is  U

Now the word at least here means that the person can subscribe to one or two of the information source , but the person  cannot subscribe none of the information source

Now to get the set that represents the set of people surveyed who subscribe to at least one of the two news sources , we need to carry out a union operation on the sets representing the two news source , this can be mathematically represented as

      [tex]L  =  N \  u \  D[/tex]

So the sets that will contain all the people in the community that subscribe to at least one of the news source is  L      

     

Answer these two questions correctly and I’ll give brainlist ❤️.

Last month , Carter ran 48 miles. This was 60% of his goal. How many miles did cater set as his goal.


Lily wants to buy a tablet that cost $88. Her dad said that he would pay 25% of the cost. How much money will her father contribute towards the tablet?


I will be giving out brainlist if the answer you submitted was correct❤️.



Posting this again please only answer if you actually know the answer and stop stealing my points :((

Answers

Answer:

1. 80 miles

2. $22

Step-by-step explanation:

1. i did 48 divided by 60 and got .8

then i multiplied .8 by 100 and got 80

2. i did 88 multiplied by .25

Explaining the Multiplication and
Explain the rules for multiplication and division comet
units. How do you know when to multiply and when
divide to convert units of measurement
Write three to four sentences

Answers

sample response: To convert larger units to smaller units, multiply. When the units are smaller, you need more of them to express the same measure. To convert smaller units to larger units, divide. When the units are larger, you need fewer of them to express the same measure.

Find the smallest whole number multiple of 2 that leaves a remainder of 1 when divided by either 3 or 7.

Answers

Answer:

2 times 8 = 16 divided by 3 leaves a remander of 1

Step-by-step explanation:

The smallest whole number is 22.

What is Least Common Multiple?

Least Common Multiple is a mathematical term. The smallest number that is a multiple of both of two numbers is called the least common multiple.

For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

Given:

First find the LCM of 7 and 3 .

LCM = 3 x 7 = 21

So, we will add remainder 1 (as given) to the LCM .

= 21+ 1

= 22

Learn more about LCM here:

https://brainly.com/question/20739723

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RS = 4x – 9, ST = 19, RT = 80 – 14

Equation:

82 – 14

RS

RT

Answers

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

3. Simplity: 1-7721
a. -772
b. - 7
c. 772
d. 72​

Answers

Answer:

1 - 7721 = -7220  so i don't really see the answer in the choices you gave.

Step-by-step explanation:

7220 that’s the answer hope it helps

The altlas v rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?

Answers

Answer:

10 miles per second

Step-by-step explanation:

The computation of the fastage did it travel is shown below:

As per the question, it is mentioned that

1 full mile for just 1 by 10 of a second

Based on the above information

If 1 by 10 seconds is equivalent to one mile,

So, 10 by 10 (1) second would be equivalent to 10 miles per second.

hence, it could be fast by 10 miles per second

Help please for brainliest

Answers

48 I just took the test :) you’re welcome

whats 10+-6. is it

16

-4

4

-16​

Answers

The answer is 4. Adding a negative number is the same as subtracting a positive number, so just think of it as 10-6.

(PLS HELP 50 PTS + BRANLIEST)
A={2, 3, 5, 7, 10} B={1, 4, 6, 8, 9, 10}, C={5, 6, 7}. The universal set U={1, 2, 3, 4, 5, ...10} List the elements of the following:

AUC=
A⋂U=
A⋂Ø=
Ā=
ĀUB=

Answers

Answer:

AUC= {2,3,5,6,7,10}

The second one=A

The third one= empty

I'm sorry. I don't know the others.

The third-grade chorus performs a musical for the school. The musical lasts 42 minutes. It ends at 1:59 p.m. What time did the musical start?

Answers

Answer:

1:17 pm

Step-by-step explanation:

Answer:

1:17pm

Step-by-step explanation:

59 - 42= 17

f(x) = 5x3 + 2x2
35x
14
-

Answers

Answer:

651

Step-by-step explanation:

f(x) = 5×3 + 2×2

35x

14

= 5×3 = 15

= 2×2 = 4

= 15 + 4

= 19

35(19) - 14

= 665 - 14

= 651

PLS HELP QUICKLY WILL GIVE BRAINLIEST

Answers

Answer:

the first one

Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist

question 16 i mark as brainliest ​

Answers

Answer:

A

Step-by-step explanation:

The growth of a sample of bacteria can be modeled by the function b(t) =100(1.06)^t where b is the number of bacteria and t is the time in hours. What is the number of total bacteria after 3 hours? Round to the nearest whole number.

Answers

Answer:

There are 119 bacteria after 3 hours.

Step-by-step explanation:

Let be [tex]b(t) = 100\cdot 1.06^{t}[/tex], where [tex]t[/tex] is the time, measured in hours, and [tex]b(t)[/tex] is the number of total bacteria, dimensionless. The number of total bacteria after 3 hours is found after evaluating the function at given function:

[tex]b (3) = 100\cdot 1.06^{3}[/tex]

[tex]b(3) = 119.102[/tex]

We rounded to the nearest preceeding whole number, since number of bacteria represents a discrete set. There are 119 bacteria after 3 hours.

The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height of the triangle?
A. 3in, 9 in
B. 8in, 24 in
C. 2in, 6in
D. 4in, 12in

Answers

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = [tex]\frac{1}{2}[/tex] x base x height

   From the problem,

        base  = [tex]\frac{1}{3}[/tex] x height

let the base  = b

            height  = h

         b =  [tex]\frac{1}{3}[/tex]h

          h = 3b

Input into the formula of area;

       24  =  [tex]\frac{1}{2}[/tex] x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

Please help.. I’m stuck on this question

Answers

Answer: The answer is 1

Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.

Carmen creates the ratio table above based on one 8-ounce serving of juice.




How many total calories will 4 servings of juice contain?
420
520
650
780

I’ll give you brainiest!

Answers

Answer:

520. Becuase with each serving added the total calories go up by 130, 130+390=520.

Which of the following numbers can be expressed as repeating decimals?

5 over 7 , 4 over 5 , 7 over 9 , 5 over 8 help plz

Answers

Answer:

7/9

Step-by-step explanation:

When 7/9 is put as a decimal then its 0.777777. This makes it a repeating decimal.

Answer:
7 over 9 would be expressed as the repeating decimal.

Explanation:
7 divided by 9 is 0.777777778

Can you give me an answer to this problem? 100m + 60m + ?m

Pythagorean thereon

Answers

Answer:

116.62m

Step-by-step explanation:

[tex]c= \sqrt{a^2+b^2} = \sqrt {100^2+60^2} approx. 116.61904[/tex]

what is the greatest common factor of 20, 50, and 25

Answers

Answer:

Step-by-step explanation:

The greatest  common factor of 20, 50, and 25 is 5.

Given that,

The numbers are 20,50 and 25.

Based on the above information, the calculation is as follows:

[tex]20 = 5\times 4\\\\ 50 = 5\times 10\\\\ 25 = 5\times 5[/tex]

So here the common factor is 5

Learn more: https://brainly.com/question/4626564?referrer=searchResults

Write the number in
standard form
6 tens+7=

Answers

Answer:

60 + 7 =

Step-by-step explanation:

its correct lol omg sjsjsjjsjsjsssjsjsnsnssn

Answer:

Answer: 67

10 x 6 + 7 = 67

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