Answer:$71.50
Step-by-step explanation:
Hello!
So first you want to find out how many bottles of soap you can make
To do that you want to divide how many ounces you have by how many ounces it takes to make 1 bottle
97.5 / 7.5 = 13
So you know you can make 13 bottles of soap
So now you want to multiply the number of bottles of soap that can be made by the amount of money you can make per bottle
13 * 5.50 = 71.50
So you know that the students can make $71.50
When x = 2,what is the value of y for the equation – 3x + 2y = 10?
Answer:
y=x+5
Step-by-step explanation:
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{y = 8}}}}[/tex]
☪ What is the value of y for the equation given below when x = 2 ?
-3x + 2y = 10☪ Step - by - step explanation :
[tex] \sf{ - 3x + 2y = 10}[/tex]plug the value of x ( i.e 2 )
➳ [tex] \sf{ - 3 \times 2 + 2y = 10}[/tex]
Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.
➳ [tex] \sf{ - 6 + 2y = 10}[/tex]
Move 6 to right hand side and change it's sign
➳ [tex] \sf{2y = 10 + 6}[/tex]
Add the numbers : 10 and 6
➳ [tex] \sf{2y = 16}[/tex]
Divide both sides by 2
➳ [tex] \sf{ \frac{2y}{2} = \frac{16}{2}} [/tex]
➳ [tex] \boxed{ \sf{y = 8}}[/tex]
——————————————————
✏ Now, let's check whether the value of y is 8 or not !
✑ Verification :
[tex] \sf{ - 3x + 2y = 10}[/tex]
→ [tex] \sf{ - 3 \times 2 + 2 \times 8 = 10}[/tex]
→ [tex] \sf{ - 6 + 16 = 10}[/tex]
→ [tex] \sf{10 = 10}[/tex]
L.H.S = R.H.S ( Hence , the value of y is 8 . )
——————————————————
☞ Additional Info :
✒ Sign rules of addition and subtraction of integers:
The positive integers are always added and posses the positive ( + ) sign.The negative integers are always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.✒ Sign rules of multiplication and division of integers :
Multiplying or dividing positive integers gives a positive integer.Multiplying or dividing positive integer by any negative integer gives a negative integer.Multiplying or dividing a negative integer by a positive integer gives a negative integer.Multiplying or dividing a negative integer by a negative integer gives a positive integer.✒ Rules for solving an equation :
If any equation contains fractions , multiply each term by the LCM of denominators.Remove the brackets , if any.Collect the term with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.Simplify and get the single term on each side.Divide each side by the coefficient of variable and then get the value of variable.Hope I helped!
Have a wonderful time ツ
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Hai's teacher writes the equation 3x - 4 = 2(x + 3) + x. Hai concludes that the
equation has infinitely many solutions. Is Hai correct? Explain.
Answer:
Hai is incorrect, there is no solution to this equation.
Step-by-step explanation:
1.) Expand.
3x-4=2x+6+x3x−4=2x+6+x
2.) Simplify 2x+6+x2x+6+x to 3x+63x+6.
3x-4=3x+63x−4=3x+6
3.) Cancel 3x3x on both sides.
-4=6−4=6
4.) Since -4=6−4=6 is false, there is no solution.
Therefore, this equation has no solution
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
[tex]\approx \frac{11}{40}[/tex]
Step-by-step explanation:
Juice squeezed from first orange = [tex]\frac{4}{17}[/tex] = 0.235
Juice squeezed from second orange = [tex]\frac{3}{10}[/tex] = 0.3
Juice squeezed from third orange = [tex]\frac{9}{20}[/tex] = 0.45
Juice squeezed from fourth orange = [tex]\frac{3}{11}[/tex] = 0.27
Juice squeezed from fifth orange = [tex]\frac{7}{15}[/tex] = 0.47
Total juice squeezed from all the five oranges = 0.235 + 0.3 + 0.45 + 0.27 + 0.47 = 1.725
Total juice to be squeezed = 2 cups
More juice required = 2 - 1.725 = 0.275 [tex]\approx \frac{11}{40}[/tex]
Therefore, to make it 2 cups of orange juice for the family, about [tex]\approx \frac{11}{40}[/tex] cups of more juice is required.
Answer:
1 5/6
Step-by-step explanation: this is what i got from doing the math. please correct me if I'm wrong
write an equation to represent the linear relationship in the table
Answer:
I think
Y=129x-75
Step-by-step explanation:
Sorry if it's wrong I am not as good at math like I was before
The diagram (picture) shows the speed-time graph of a body moving in a straight line.
(a) Calculate he acceleration of the body during the first 15 seconds.
(b) Calculate the distance moves by the body in the first 40 seconds of its motion.
(c) Given that the body decelerate at 1.25 m/s[tex]^{2}[/tex]
Answer:
Below.
Step-by-step explanation:
(a)
The acceleration = the slope of the graph (change of velocity / time)
= 25/15
= 1.67 m/s/s.
(b)
The distance moved = the area under the graph for the first 0 seconds,
= area of the first triangle + area of the rectangle with height 25 and length (40 - 15)
= 1/2 * 15 * 25 + (40-15) * 25
= 187.5 + 625
= 812.5 m.
(c). ? what is the question?
Given
mZQPS = 47°
mZRPS = 3x – 38°
mZQPR = 72 - 95°
Find mZQPR:
Answer:
47
Step-by-step explanation:
Calculate the rate of change for the following data:
x y
-1 5
2 -4
7 -19
10 -28
-3
4
-9
6
Answer:
Step-by-step explanation:
The answer is -3
i just took the quiz and got it right
The rate of change for the given data is -3. Therefore, option A is the correct answer.
The coordinates from the given data are (-1, 5) and (2, -4).
What is rate of change and initial value of a function?The rate of change, or the slope, is calculated as Δy/Δx , or (y2−y1)/(x2−x1). The slope-intercept equation of a line is y=mx+b , where m is the slope and b is the initial value.
Here, (x1, y1)=(-1, 5) and (x2, y2)=(2,-4)
Rate of change = (-4-5)/(2+1)
= -9/3
= -3
The rate of change for the given data is -3. Therefore, option A is the correct answer.
Learn more about the rate of change and initial value here:
https://brainly.com/question/8223651.
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Can someone help me with my algebra?
Answer:
C. -3
Step-by-step explanation:
You can do this using two different methods.
First, slope is written rise over run, or y over x. We can find two points and count how much we need to rise and run. The graph already includes the points (2,-3) and (-1, 6), which we will use. If you carefully look at the graph, you can see that if you start from the point (2,-3), you can rise 9 and run -3 to get to the point (-1, 6), which brings me to the next step. As I stated in the beginning, slope is written rise over run. Therefore, the slope is 9/-3, which simplifies to -3, answer choice C.
Another way you can do this is subtracting the y's and subtracting the x's in the same order. The y's go over the x's, and is basically written as a fraction. For this method, we still need two points. We will use the same points as above and listed on the graph, points (2,-3) and (-1, 6). The y's are -3 and 6, and the x's are 2 and -1. Now, subtract.
-3-6 =-9=-3
2-(-1)= 3
As you can tell, both methods of solving for slope worked, and the answer is choice C.
I hope this helps you!! Have a great day ^^
Need help pls im poor
Answer:
The mom is 30 times older than the son and the son is 30 years younger
Step-by-step explanation:
it says so
I NEED HELP!! WITH NUMBER 4 BOTH ANSWERS
Answer:
The first one is 12
The second one is -12
Just multiply, and remember the negative signs.
Answer:
1st Question- Positive Twelve
Second Question- Negative Twelve
Step-by-step explanation:
cosA - sinA / cosA + sinA= sec2 A - tan2A
Answer:
please mark me brainlist
Step-by-step explanation:
SEC2A -TAN2A
1/COS2A - SIN2A/COS2A
1-SIN2A/COS2A
1-2SINACOSA/COS^2A-SIN^2A
COS^2A+SIN^2A-2SINACOSA/COS^2A-SIN^2A
(COSA-SINA)*(COSA-SINA)/(COSA-SINA)*(COSA +SINA)
(COSA -SINA)/COSA+SINA
what is the slope of (-4,7) and (6,2)
Answer:
use the slope formula to find the slope m
m = - 1/2
What is 5 + 5???????????????????????
Answer:
10 is the correct answer
Step-by-step explanation:
5+5=10
Help ASAP!!!! Please will mark brainiest
Answer:
is the first one
Step-by-step explanation:
The 24 girls in 20 boys to school gym clothes have to be split into groups for a team building activity. If each group must be identical, what is the maximum number of groups that can be made?
Answer: 4
Step-by-step explanation:
Given: Total girls = 24
Total boys = 20
If each group must be identical, then the maximum number of groups that can be made = GCD(24,20) [GCD= Greatest common divisor]
Since 24 = 2 x 2 x 2 x 3
20 = 2 x 2 x 5
GCD(24,20)= 2 x 2 = 4
Hence, the maximum number of groups that can be made = 4
A painter is going to paint the rooms of a building. The painter has used 80 gallons of paint and has painted 32% of the rooms. How many more gallons of paint does the painter need to finish painting all of the rooms in the building?
The painter needs ______ gallons of paint to finish painting all of the rooms.
Answer:
30 gallons
Step-by-step explanation:
2/9x4/2=what. solve the equation
Answer:
0.44
Step-by-step explanation:
2/9 = 0.22
4/2 = 2
answer = 0.22 x 2
answer = 0.44
Answer:
4/9
Step-by-step explanation:
2/9 × 4/2
⇒ 2×4/9×2
⇒ 8/18
⇒ 4/9
hope this helps you!
what is the constant of proportionality for the table below?
Answer:
.75 or 3/4
Step-by-step explanation:
-Ꮾb > 42 or Ꮞb + Ꮾ > 2
Answer:
b<-7 or b>-1
Step-by-step explanation:
explanation: -6b>42 turns into -42>6b then divide by 6 on both sides and you get -7>b
for the other inequality, you take 4b+6>2 and then subtract6 from both sides, from there you will get 4b>-4 and that will be b>-1
if i get off my online classes at 11:11 and get back on at 12:26 how much free time do i have?
Answer:
1 hr and 45 mins
Step-by-step explanation:
12:26-11:11 or 115, so an hour and 45 mins.
Hope this helps :D
Answer:
75 min
Step-by-step explanation:
I did 49+26 because from 11:11 to 12 theres 49 min and from 12 to 12:26 theres 26 min
Star bought a new pair of Ray Ban sunglasses, originally priced at $109.99, on sale for 25% with a 5% tax. How much does Star pay for the sunglasses?
Answer:
$22
Step-by-step explanation:
If you earn $134 in 8 hours, how much do you earn per hour?
Answer:$16.75
Step-by-step explanation:
Christa is saving for a new tablet. It costs $70.45, including tax. She has already saved $35. How much more does she need to save?
Answer: Christa would need to save $35.45.
Step-by-step explanation:
70.45 - 35 = The amount Christa needs to save
70.45 - 35 = 35.45
The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1996 his card was worth $5.71 The value has increased by $1.98 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 2002 ?
Answer:
Step-by-step explanation:
The number of years between 1996 to 2002 will be:
= 2002 - 1996
= 6 years
The relationship relating the value of the card y in dollars and the number of years x the player has been in retirement can be expressed as an equation in the form of:
y = 5.71 + 1.98x
where x = 6 years
y = 5.71 + 1.98(6)
y = 5.71 + 11.88
y = $17.59
The value of the card in 2002 is $17.59.
The relationship between x and y isn't proportional in this case.
What is the oblique asymptote
Answer:
y = x - 5
Step-by-step explanation:
I just got it right on edge2020
Explain how to change a negative exponent to a positive one
Answer:
Flip the fraction that you are applying the exponent to, if it's a whole number, just imagine it's over one and flip it that way.
Explanation:
If you have 3/5 ^-3
You would flip the fraction to 5/3, then the exponent turns to positive 3
So 5/3 ^3
For a whole number, for example, 6, ^-2
In other words, it's 6/1 ^2, so you would make it 1/6, then the exponent turns positive.
So 1/6 ^2
Hope this helped :)
To change a negative exponent to a positive one, a flip it into a reciprocal.
Here,
We have to explain, change a negative exponent to a positive one.
What is Reciprocal?
The inverse of a number is called Reciprocal.
Now,
Let a number is, [tex]5^{-2}[/tex]
Then change it into positive exponent as;
Take reciprocal of [tex]5^{-2}[/tex], we get;
⇒ [tex](\frac{1}{5} )^2[/tex]
Hence, reciprocal of [tex]5^{-2}[/tex] = [tex](\frac{1}{5} )^2[/tex]
So, To change a negative exponent to a positive one, a flip it into a reciprocal.
Learn more about the reciprocal visit:
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An object is thrown into the air. The equation for the object's heights at
time t seconds after launch is H(t) = -4.9t2 + 13.4t + 24.9, where H is in
meters.
Missing Part of the Question:
- The time required for the rocket to reach its maximum height
- The maximum height of the rocket
Answer:
a. Time to reach maximum height is 1.37 seconds
b. Maximum Height = 34.1 metres
Step-by-step explanation:
Given.
H(t) = -4.9t² + 13.4t + 24.9
Solving (a): Time taken to reach maximum height.
A quadratic equation is:
f(x) = ax² + bx + c
Where
a = -4.9
b = 13.4
c = 24.9
This required time is represented by the vertex and is calculated as thus:
t = -b/2a
Substitute values for b and a
t = (-13.4)/(2 * -4.9)
t = -13.4/(-9.8)
t = 13.4/9.8
t = 1.37 (approximated)
Hence the time to reach maximum height is 1.37 seconds
b. Maximum height
Here, we simply substitute 1.37 for t in
H(t) = -4.9t²+ 13.4t + 24.9
Maximum Height = -4.9 * 1.37² + 13.4 * 1.37 + 24.9
Maximum Height = -4.9 * 1.8769 + 13.4 * 1.37 + 24.9
Maximum Height = -9.19681 + 18.358 + 24.9
Maximum Height = 34.06119
Maximum Height = 34.1 metres (approximated)
what is an equation of the horizontal line that passes through, (5,-7)?
Pls HELP FAST
At Fridays game sold 1,294 tickets and made $8,816 if each student ticket cost $5 and adult ticket cost $8 how many student tickets were bought?
Answer
512 student tickets were purchased.
Step-by-step explanation:
Aidan had 13 tropical fish and gave 8 of them to his brother then Aidan bought 6 more from the pet store each fish cost $9.45 how many fish does Aidan have now
Answer:
11 fishes
Step-by-step explanation:
Answer:27
Step-by-step explanation: add all the answers