Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23

Determine whether each statement about the equations is true or false

Consider The Equation Below A + 9 =23 3b + 9 =236c + 9 = 23Determine Whether Each Statement About The

Answers

Answer 1

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

a + 9 = 23

a = 14

3b + 9 = 23

3b = 14

b = 14/3

6c + 9 = 23

6c = 14

c = 14/6 = 7/3

Statement 1: 3a = 14 x 3 = 42, which is not equal to b.

Statement 2: 7/3 is less than 14.

Statement 3: 2c = 7/3 x 2 = 14/3 = b.

Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.


Related Questions



The equation of a curve is
[tex]y = 4x {}^{3} + 4px {}^{2} + 16x - 9[/tex]
Find the range of values of p such that y is an increasing function.

Answers

Let's solve for p.

[tex]y=4x3+4px2+16x−9[/tex]

Step 1: Flip the equation.

[tex]4px2+4x3+16x−9=y[/tex]

Step 2: Add -4x^3 to both sides.

[tex]4px2+4x3+16x−9+−4x3=y+−4x3[/tex]

[tex]4px2+16x−9=−4x3+y[/tex]

Step 3: Add -16x to both sides.

[tex]4px2+16x−9+−16x=−4x3+y+−16x[/tex]

[tex]4px2−9=−4x3−16x+y[/tex]

Step 4: Add 9 to both sides.

[tex]4px2−9+9=−4x3−16x+y+9[/tex]

[tex]4px2=−4x3−16x+y+9[/tex]

Step 5: Divide both sides by 4x^2.

4px² / 4x² = −4x³ − 16x + y + 9 / 4x²

Answer:

p = −4x³ − 16x + y + 9 / 4x²

3 (m+6) +7 (m-2)


7(6x + 5) - 8


4(3x + 5) - 13


Answers

Answer:SAME SIGNS 1. Add.

2. Sum is positive if both are positive; negative if both are negative.

  5 + 8 = 13 –5 + (–8) = –13

 DIFFERENT SIGNS

1. Subtract the absolute values.

2. Answer is sign of the integer with the greater absolute value.

   5 + (–8) = –3 –5 + 8 = 3

Find each sum. 1. –4 + (–8)

–12

4. –16 + 11 –5

7. –49 + (–32)

–49 –81 –32 –81

2. 14 + 16 30

5. 28 +(–42) –14

8. 23 + (–23) 0

3. –43 + (–12) –55

6. 75 + (–5) 70

9. 86 + (–18)

86 68–18 68

       

Integers

Multiplying & Dividing

  RULE

EXAMPLES

 1. Multiply or divide.

2. The answer is positive if the signs are the same (both positive or both negative); negative if the signs are different (one positive and one negative).

  –5 x(–8) = 40 40  4 = 10

 16 x(–3) = –48 –20  10 = –2

Find each product or quotient.

1. –3 x (–8) 24

4. 0 x (–121)

0 5 –13

2. –5 x (–5) 25

3. –15 x 3 –45

  5. –35 (–7)

6. –65  5

  7. 240  (–4) 8. 36  12 9. (–49  7) x 8 –7 x 8

 –60 3

–56

Step-by-step explanation:

A video game is on sale for $55. If the discount was
14%, what was the original price?

Answers

Answer:

$77

Step-by-step explanation:

i just take 55 x 0.14 which is 7.7 then i moved the decimal 1 place to the right.

Answer:

I believe the answer it 62.70

although I am not completely sure

Step-by-step explanation:

14% of 55 = 7.7

7.7 + 55 = 62.7

= $62.70

Pleaseee help this is urgent!!! I need it in English! Please show all the work ! 14 points

Answers

Answer:

width = 40 feet, length = 90 feet

Step-by-step explanation:

length = 2w + 10

width = w

Perimeter = 260

Perimeter of rectangle = 2length + 2width

Sub the values into that equation:

260 = 2(2w + 10) + 2(w)

260 = 4w + 20 + 2w

260 = 6w + 20

260 - 20 = 6w

240 = 6w

w = 240/6

w = 40

So now we know the width of the garden is 40 feet.

To find the length, substitute the width into the length equation:

length = 2w + 10

length = 2(40) + 10

length = 90 feet

length = 90 feet, width = 40 feet

Can y’all help me with this

Answers

Answer:

24.45cm squared

Step-by-step explanation:

(9 x 12) - ((6 x 3.14) / 2)

please help, urgent. picture shown.

Answers

Answer: 80

Step-by-step explanation:

First, find the area of the square by doing 12 x 12. (Which = 144)

Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.

This should get you 63.62, or 64 when rounded up.

You then subtract 64 from 144 and get 80 for your answer.

Albert, bill, claire, and David are all siblings. Bill was born 2 years after Albert. Claire's favourite colour is orange and she is currently half the age of Albert. David enjoys golf and swimming and he is 3 times older than Bill.

The total of their age is 113 using algebraic methods find out their exact age
what is their exact age

Answers

Answer:

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60

Step-by-step explanation:

Let Albert's age = x

Bill = x - 2

Claire = x/2

David = 3(x - 2)

Total sum of their ages = 113

x + x - 2 + 0.5x + 3(x - 2) = 113

x + x - 2 + 0.5x + 3x - 6 = 113

x + x + 3x + 0.5x -2 - 6 = 113

5.5x - 8 = 113

5.5x = 113 + 8

5.5x = 121

x = 121 / 5.5

x = 22

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60


Consider the volume of a rectangular pyramid, one whose base is not square. Does changing one of the three variables (length, width, or helght)
by a given fraction have a greater effect on the volume of the pyramid than changing either of the other two variables? That is, which variable, if
any, has the largest influence on the volume? Assume that the other two variables remain constant. Explain your answer.

Answers

Answer:

dobt worry il heñp il solve

What is the slope of the line with equation y - 3= -1/2(x - 2)

Answers

If u use the equation y=mx+b with m being the slop and b being the y-intercept.

Answer:

-1/2

Step-by-step explanation:

according to what I learnt, the general form of every equation is y=mx+c where y is the y value, x is the x value, m is the slope and c is the y-intercept so the equation y-3= -1/2(x - 2) in the general form wil be :

y= -x/2+4 and so m= -x/2 ,that is -1/2

if the mean of 6 7 13 and 10 is 8 find the range ​

Answers

Answer:

hope this hlo u

Step-by-step explanation:

range =highest observation-lowest observation

range=10-6

=4

Highest number - lowest number

13-8
5

Which is greater, 20% or 0.02?

Answers

Answer:

20% is greater

Step-by-step explanation:

0.02 is only 2%

Answer:

20%

Step-by-step explanation:

to change .02 into a percent, you move the decimal over twice or multiply it by 100. leaving it to be 2%

HELP I NEED HELP ASAP

Taxi Driver A(x)=1.50x+5 and Taxi Driver B charges B(x)=1.25x+8 where x is the number of miles driven. After how many miles will the cost be the same for each taxi driver?

Answers

Answer:

12 miles

Step-by-step explanation:

1.25x + 8 =1.5x+5

1.25x-1.5x=5-8

-0.25x=-3

-0.25x/-0.25x=-3/-0.25

x= 12

Help me plssssss!!!!!

Answers

Answer:

I think the correct answer is B

You have 42 coins with a total value of $3.00. Some of the coins are dimes, and the rest are quarters.

Select the two equations that would create the best system of equations to represent this scenario.

Answers

Answer:

1. $3.00+42=$3.42

2. 4 Dimes , 2 Pennies

Step-by-step explanation:

2. 4 Dimes = 40 cents , 2 pennies = 2 cents

1. Add up 3.00+42 and that is how you could get the answer for number 1 .

The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks, Priya obtains 46 marks, and Nora obtains 49 marks. The examination board decides that those who scored 80 % and above will get a gold medal, those who score 70 % to 79 % inclusive will get a silver medal and those who scored 60 % to 69 % inclusive will get a bronze medal. Determine the type of medal each of them will get

Answers

Answer: See explanation

Step-by-step explanation:

Total marks = 60

Kate = 40 marks = 40/60 × 100 = 66.7%

Kate gets a bronze medal.

Priya = 46 marks = 46/60 × 100 = 76.7%

Priya gets a silver medal

Nora = 49 marks = 49/60 × 100 = 81.7%

Nora gets a good medal.

43 decreased by a number B

Answers

Answer:

43 - B = x

Step-by-step explanation:

When decreasing, you are subtracting, so the equation for this problem would be 43 minus B equals whatever quantity you were given as a solution.

Convert the following repeating decimal to a fraction in simplest form.
.6

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

0.6 is a repeating decimal in this case, so you can round it to .7

From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.

For each ordered pair, determine whether it is a solution to y=-3x-7.
Is it a solution?
Х
5
?
(x, y)
Yes
No
(8, -56)
(-5,8)
(-9, -23)
(4, 19)

Answers

Answer:

(-5,8)

Step-by-step explanation:

The given equation y = -3x - 7 holds true for the ordered pair, so (-5, 8) is a solution. Thus, option third is correct.

To determine whether each ordered pair is a solution to the equation y = -3x - 7, we substitute the x and y values into the equation and check if it holds true.

For the ordered pair (8, -56):

y = -3x - 7

-56 = -3(8) - 7

-56 = -24 - 7

-56 = -31

The equation does not hold true for this ordered pair, so (8, -56) is not a solution.

For the ordered pair (-5, 8):

y = -3x - 7

8 = -3(-5) - 7

8 = 15 - 7

8 = 8

The equation holds true for this ordered pair, so (-5, 8) is a solution.

For the ordered pair (-9, -23):

y = -3x - 7

-23 = -3(-9) - 7

-23 = 27 - 7

-23 = 20

The equation does not hold true for this ordered pair, so (-9, -23) is not a solution.

For the ordered pair (4, 19):

y = -3x - 7

19 = -3(4) - 7

19 = -12 - 7

19 = -19

The equation does not hold true for this ordered pair, so (4, 19) is not a solution.

Learn more about the equation here:

brainly.com/question/13947055

#SPJ4

In the chemical formula 2SO2, how many total atoms of oxygen (O) are there?​

Answers

Answer:

4

Step-by-step explanation:

2 molecules of SO2

each molecule contains 2 atoms of Oxygen

Answer:

Step-by-step explanation:

share $180 between anna and barry so that Anna share to barry share is in the ratio 4:5​

Answers

Answer:

Anna: $80

Barry: $100

Step-by-step explanation:

total of 9 shares

each 20 dollars

4(20) = 80

5(20) = 100

Mini made a recipe that yields 4 and 1 over 2 cups. If each serving is 1 over 2 cup, which expression will help Mini determine the number of servings her recipe will yield?

Answers

Answer:

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Step-by-step explanation:

Mini made a recipe that yields 4 and 1 over 2 cups.

1 recipe = 4 1/2 cups

1 serving = 1/2 cups

1/2 cups = 1 servings

4 1/2 cups = x servings

Cross Multiply

1/2 × x = 4 1/2

x = 4 1/2 ÷ 1/2

x = 9/2 ÷ 1/2

x = 9/2 × 2

x = 9 servings.

Therefore, the expression tha will help Mini to determine the number of servings her recipe will yield is

1/2x = 4 1/2

Where x = Number of servings = 9 servings

Help me out with this, homes

Answers

Answer:

2

Step-by-step explanation:

2

Find the Values of y
Y ² = 169

Answers

Answer:

Y= 13,-13

Step-by-step explanation:

I REALLY NEED HELP ON THIS!!!!!! I WILL MARK BRAINLIEST

Answers

Answer:

y = 2,500x + 5,000

Rate of change = $2500 a year

Initial value = $5000

Step-by-step explanation:

We have 3 values to figure what is the function here, the rate of change, and the initial value.

To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.

Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.

$7,500 - $5,000 = +$2,500/year

Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.

y = ????x + 5,000

You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!

y = 2,500x + 5,000

Answer:

y=2500x + 5000

2500

5000

Step-by-step explanation:

Need help on these two thanks

Answers

Answer:

#1 is meter or D

#2 is also D

Step-by-step explanation:

Subract the sum of 3a^4b-4b^3+c^2 & 6a^4b+3b^3-6c^2 from the sum of 6a^4b-4b^3-4c^2 & 2a^4b+4b^3+7c^​

Answers

Answer:

-a^4b + b^3 - 8c^2

Step-by-step explanation:

Sum of

3a^4b-4b^3+c^2 + 6a^4b+3b^3-6c^2

= 3a^4b + 6a^4b - 4b^3 + 3b^3 + c^2 - 6c^2

= 9a^4b - b^3 - 5c^2

Sum of

6a^4b-4b^3-4c^2 + 2a^4b+4b^3+7c^

= 6a^4b + 2a^4b - 4b^3 + 4b^3 - 4c^2 + 7c^2

= 8a^4b + 3c^2

Subtract

8a^4b + 3c^2 - (9a^4b - b^3 - 5c^2)

= 8a^4b + 3c^2 - 9a^4b + b^3 + 5c^2

= 8a^4b - 9a^4b + b^3 + 3c^2 + 5c^2

= -a^4b + b^3 - 8c^2

Identify the correct Triangle Congruence Theorem that describes the figure below.


A. SAS
B. ASA
C. AAS
D. SSS
E. HL

Answers

Answer:

ASA

Step-by-step explanation:

Don't worry I just know

make x the subject. 4x-5=t(x+m)

Answers

Answer:

x= tm+5/4-t

Step-by-step explanation:

4x-5=t(x+5)

4x-5-=tx+tm   distributive

4x-5-tx=tm    substract tx from both sides

4x-tx=tm+5   add 5 to both sides

x * 4+ x(-t) =tm+5  factor x out 4x-tx

x(4-t)=tm+5   factor x out x*4 + x(-t)

x(4-t)/4-t= tm/4-t+ 5/4-t   divide each term in 4-t

x= tm/4-t + 5/4-t combine the numerators over the common denominator

x=tm+5/4-t

A is what percent of B? Pls help???

Answers

Answer:

If you want to know what percent A is of B, you simple divide A by B, then take that number and move the decimal place two spaces to the right. That's your percentage!

Step-by-step explanation: There is no exact answer and it would be null. You didn't even give an image

i dont know plz help

Answers

7/10 more blueberry muffins then the pumpkin muffins .
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