Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23
Determine whether each statement about the equations is true or false
Answers
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
Can y’all help me with this
Answers
Answer:
24.45cm squared
Step-by-step explanation:
(9 x 12) - ((6 x 3.14) / 2)
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
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.
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:
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:
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
i dont know plz help
Answers
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
13-8
5
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
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
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 me out with this, homes
Answers
Answer:
2
Step-by-step explanation:
2
What is the slope of the line with equation y - 3= -1/2(x - 2)
Answers
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
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 .
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
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.
Find the Values of y
Y ² = 169
Answers
Answer:
Y= 13,-13
Step-by-step explanation:
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
Need help on these two thanks
Answers
Answer:
#1 is meter or D
#2 is also D
Step-by-step explanation:
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.
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
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
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
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
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
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
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:
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
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.
Help me plssssss!!!!!
Answers
Answer:
I think the correct answer is B