Solve the equation 5x + 7y = 35 for y.
Answer:
B. [tex]y= 5 - \frac{5}{7} x[/tex]
Step-by-step explanation:
okay, so you are trying to get y alone on one side. The first thing you want to do is try to get 7y alone on one side. You do that my subtracting 5x on both sides. You get 7y = 5x +35
Then you divide 7 on both sides and get y = -5/7x + 5
The equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.
The correct option is B.
To solve the equation 5x + 7y = 35 for y, we need to isolate y on one side of the equation.
Let's begin by subtracting 5x from both sides:
5x + 7y - 5x = 35 - 5x
The 5x terms cancel out on the left side, leaving us with:
7y = 35 - 5x
Now, to isolate y, we divide both sides of the equation by 7:
(7y) / 7 = (35 - 5x) / 7
Simplifying further, we have:
y = (35 - 5x) / 7
Therefore, the equation 5x + 7y = 35, when solved for y, is y = (35 - 5x) / 7.
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Is my student correct?
Answer:
Yes
Step-by-step explanation:
There hasn't been a chemical change, rather, just a physical change. All that had happened was a liquid turning into a solid, which doesn't require a change in elements of the liquid itself.
Answer:
YES
Step-by-step explanation:
BECAUSE A CHEMICAL CHANGE STAYS THE SAME AND A PHYSICAL CHANGE CAN GO BACK TO NORMAL
A bag contains 22 1/2 cups .A recipe for pancakes uses 1 1/4 cups of flour .how many batches of pancakes can be made with one bag of flour
Answer:
18 batches of pancakes
Step-by-step explanation:
22.5/1.25=18
a. Un equipo de tenis de mesa ganó 21 juegos y perdió 12 juegos, ¿cuál es la razón entre ganados y perdidos?
Answer:
The ratio between won and lost is [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
The question in English is
A table tennis team won 21 games and lost 12 games, what is the ratio between won and lost?
Let
x ------> the number of games won
y -----> the number of games lost
we have
[tex]x=21\ games[/tex]
[tex]y=12\ games[/tex]
we know that
To find the ratio divide the number of games won by the number of games lost
so
[tex]\frac{x}{y}[/tex]
substitute the values
[tex]\frac{21}{12}[/tex]
Simplify
[tex]\frac{7}{4}[/tex]
P=3L-3W solve for L (literal equation)
P=3L-3W
Move -3W to the other side. Sign changes to +3W
P+3W=3L-3W+3W
P+3W=3L
Divide both sides by 3 to get L by itself
P/3+3W/3=3L/3
Cross out 3 and 3, divide by 3 and then becomes 1*1*W=W
Cross out 3 and 3, divide by 3 and then becomes 1*1*L=L
P/3+W=L
Answer:
L=P/3+W
What is the answer to this question? Simplify:
Answer:
19
Step-by-step explanation:
15-(-36/9)
15 + 4
19
Answer:
11
Step-by-step explanation:
36/-9 can be reduced to -4
15--(-4) is the same as 15+(-4) which is the same as 15-4
15-4=11
How can you solve for x in the proportion 7/8 = x/24?
Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x.
Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x.
Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x.
Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.
Answer:
The answer is D
Step-by-step explanation:
---
Nathaniel started collecting rocks. He started his collection with two rocks on the first day, then four rocks on the second day, then
elght rocks on the third day, and then sixteen rocks on the fourth day.
Assuming this pattern continues, what will be the total size of Nathaniel's rock collection on the 10th day?
Answer:
Step-by-step explanation:
u keep multiplying see 2*2= 4*4=16*16=256*256=65536*65536= etc
Answer:
plato: 1,024
Step-by-step explanation:
After several shares of the company's stock were sold, a profit of $1,320 was earned. The profit was 15% over a 30 day period. How much were the shares worth when they were originally purchased?
Answer:
That's it... Just sum it ul
Answer:
The shares were worth $8800, when they were originally purchased.
Step-by-step explanation:
After several shares of the company's stock were sold, a profit of $1,320 was earned.
The profit was 15% over a 30 day period.
Let the original price of the shares be = x
As there was a profit of 15% on x.
We get the following expression;
[tex]0.15x=1320[/tex]
Then x = 8800
Hence, the shares were worth $8800, when they were originally purchased.
Flower: Anthony decides to decorate a ballroom with r= 3n + 20 roses, where n is the number of dancers. It occurs to Anthony that the dancers always come in pairs. That is, n=2p, where p is the number of pairs. What is r as a function of p?
Can anyone explain the process of how to answer this problem?
Answer:
r= 6p + 20
Step-by-step explanation:
given:
r= 3n + 20
also given that n = 2p
substituting n=2p into the above equation
r= 3n + 20
r= 3(2p) + 20
r= 6p + 20
Which of the following numbers is NOT a Solution of the inequality 6x–5>4x–7?
A)1
B)0
C)-1
D)-2
Answer:
B
Step-by-step explanation:
The solution to the inequality 6x–5>4x–7 is x > -1. The given numbers that are larger than -1 are 1 and 0, which leaves -1 and -2. From these, -1 is the only given number that is not greater than -1, so it is the number that is not a solution to the inequality.
Explanation:To begin, let's simplify the given inequality, 6x–5>4x–7. Subtract 4x from each side to isolate x terms on one side, obtaining 2x - 5 > -7. Then, add 5 to both sides to isolate the term with x, obtaining the inequity 2x > -2.
Finally, divide by 2 to find x > -1. So any value greater than -1 would be a solution to the inequality.
Reviewing the options:
A) 1 is a solution because it is greater than -1B) 0 is a solution because it is greater than -1C) -1 is not a solution because it is not greater than -1D) -2 is not a solution because it is not greater than -1However, according to the question we need to find the number that is not a solution, so the answer is C) -1.
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My math problem is 920÷310 can somebody please help me
Answer:
2.967741935
Step-by-step explanation:
Preserve
What is this 3 digit number
Solve a Mixture Word Problem
Question
Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a
pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how
many pounds of cereal squares should he use?
Provide your answer below:
lb cereal squares,
Ib nuts
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Content attribution
Answer: Orlando mixed five pounds of cereal squares and 25 pounds of nuts.
Answer:
5 lbs cereal squares.
25 Ibs nuts.
Step-by-step explanation:
Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.
Total weight of the party mix is 30 pounds.
[tex]x+y=30[/tex] ..... (1)
It is given that,
Cost of nuts = $7 per pound
Cost of cereal = $4 per pound
The cost of mix = $6.50 per pound.
[tex]7x+4y=6.50\times 30[/tex]
[tex]7x+4y=195[/tex] ..... (2)
Substitute the value of x in equation (2) from equation (1).
[tex]7(30-y)+4y=195[/tex]
[tex]210-7y+4y=195[/tex]
[tex]-3y=195-210[/tex]
[tex]-3y=-15[/tex]
Divide both sides by -3.
[tex]y=5[/tex]
Substitute y=5 in equation (1).
[tex]x+5=30[/tex]
Subtract both sides by 5.
[tex]x=30-5[/tex]
[tex]x=25[/tex]
Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.
2. On a recent field trip, students paid $15 for
each ticket. If $675 is the total cost, how many
tickets were purchased?
a. Write an equation:
b. What is the constant of proportionality?
Answer:
See below.
Step-by-step explanation:
Cost of tickets = number of tickets * cost of 1 ticket
The number of tickets purchased was 675/15 = 45.
a. C = 15n .
b. Constant of proportionality is 15.
Answer: $675 + $15 =
Step-by-step explanation:
first add the 5 and 5 together drop the zero carry the one then add 1 and 7 plus 1 which is 9 then add 6 plus zero and ur answer should be 690
If f(x) = х2 – 2x and g(x) = 6х +4, for which vаluе оf x does (f + g)(x) = 0?
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4
Equating to zero, that is
x² + 4x + 4 = 0 ← left side is a perfect square
(x + 2)² = 0, thus
x + 2 = 0 ⇒ x = - 2
Answer:
[tex]\boxed{\text{x = -2}}[/tex]
Step-by-step explanation:
ƒ(x) = x² - 2x
g(x) = 6x + 4
(f + g)(x) = x² - 2x + 6x + 4 = x² + 4x + 4
[tex]\begin{array}{rcr}x^{2} + 4x + 4 & = & 0\\(x + 2)^{2} & = & 0\\x+2 & = & 0\\x & = & \mathbf{-2}\\\end{array}[/tex]
[tex](f + g)(x) = 0 \text{ when } \boxed{\textbf{x = -2}}[/tex]
Check:
[tex]\begin{array}{rcl}(-2)^{2} + 4(-2) + 4 & = & 0\\4 - 8 + 4 & = & 0\\0 & = & 0\\\end{array}[/tex]
OK.
What is the procedure for solving the equation 1/2x = 16?
a) add 1/2 to both sides of the equation
b) subtract 1/2 from both sides of the equation
c) multiply both sides of the equation by 2
d) multiply both sides of the equation by 1/2
-23=5+ 4x what does x equals?
Answer:
x = -7
Step-by-step explanation:
- 23 = 5 + 4x
- 5 = - 5
- 28 = 4x
/4 = /4
- 7 = x
Answer: x= -7
Step-by-step explanation:
you basically add 5 with 5 and they cancel out
You add 5 to -23 and get -28=4x and divide 4x and -28 which gets your answer
In a lab, a substance was cooled by 36°C over a period of 9 hours at a constant rate. What was the change in temperature each hour?
The substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.
In this lab scenario, we are given that a substance was cooled by 36°C over a period of 9 hours at a constant rate. Let's denote the change in temperature as ΔT (Delta T) and the time interval as Δt (Delta t) in hours.
To find the change in temperature each hour, we can use the formula for the rate of change of temperature:
ΔT/Δt = Rate of change of temperature
Given that the total change in temperature (ΔT) is 36°C and the total time period (Δt) is 9 hours, we can now plug these values into the formula:
ΔT/Δt = 36°C / 9 hours
Simplifying this, we get:
ΔT/Δt = 4°C/hour
So, the change in temperature each hour, represented as ΔT/Δt, is 4°C. This means that the substance was cooling down at a constant rate of 4 degrees Celsius per hour throughout the 9-hour period in the lab.
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What is 2/28=7/8 cross multiplied
Answer:
see the explanation
Step-by-step explanation:
we have
[tex]\frac{2}{28}=\frac{7}{8}[/tex]
we know that
To cross multiply, start by multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction.
2(8)
Then, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
7(28)
Next, set the 2 products equal to each other.
2(8)=7(28)
The U.S. is 3.794 million square miles. Approximately 650,000 square miles are worked for food production. What percent of the U.S. is worked for food production?
Final answer:
Approximately 17.12% of the U.S. is worked for food production.
Explanation:
The U.S. is 3.794 million square miles in total. Approximately 650,000 square miles are worked for food production. To find out the percent of the U.S. that is worked for food production, divide the area worked for food production by the total area of the U.S. and then multiply by 100.
Percentage = (Area worked for food production / Total area of the U.S.) x 100
Percentage = (650,000 / 3,794,000) x 100 = 17.12%
estimate the square root of 27 over 4 to the nearest 10th
Answer:
1.3
Step-by-step explanation:
123456789
What is the perimeter of a rectangle that has a 3ft hight and 13ft width
Answer:
32 ft
Step-by-step explanation:
3+3+13+13=
32
Perimeter = 32 ft.
Since it is a rectangle, 2 sides measure 13ft, and 2 sides measure 3 ft.
13+13=26
3+3=6
26+6=32.
The glasses that Pierre wants to buy cost $230. If he waits for them to go on sale next week, he can get a 15% discount. How much will he save if he waits?
How much will the glasses cost if he waits?
Answer:
$34.50 saved
Step-by-step explanation:
230 - 15% = $195.5
230 - 195.5 = 34.5 saved
There are 52 weeks in one year. If cindy drew three pictures each week, for 2 years, how many pictures did cindy draw?
Final answer:
Cindy drew a total of 312 pictures over two years, calculating from three pictures per week for 52 weeks each year, then doubling the result for the two years.
Explanation:
To calculate the total number of pictures Cindy drew over two years, we start by determining the number of pictures she draws each week.
Since Cindy draws three pictures each week, we multiply that number by the number of weeks in one year.
There are 52 weeks in one year.
So, the number of pictures Cindy draws in one year is:
3 pictures/week × 52 weeks/year = 156 pictures/yearSince the question is about a two-year period, we multiply the annual amount of pictures by two:
156 pictures/year × 2 years = 312 picturesTherefore, Cindy drew a total of 312 pictures over two years.
What is the solution for the equation 8X – 12 = 4x?
x= 48
x= 30
x=3
X=1
Answer:
C. x = 3
Step-by-step explanation:
8x - 12 = 4x
+12 + 12
8x = 4x + 12
-4x -4x
4x = 12
---- ---
4 4
x = 3
C. x = 3
8x-12= 4x
move -12 to the other side
sign changes from -12 to +12
8x-12+12= 4x+12
8x=4x+12
move 4x to the other side.
sign changes from +4x to -4x
8x-4x= 4x-4x+12
8x-4x= 12
4x=12
divide both sides by 4 to get x by itself
4x/4= 12/4
Answer: x= 3
Is this the right answer?
Answer:
It would be -22, not 22%. She is $22 in debt, which is why it is negative.
Find the slope of the line passing through the
points
(-9, 2) and (7,2)
Answer:
0
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0[/tex]
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Given triangle ABC with vertices A(−3, 0), B(0, 6), and C(4, 6). Find the equations of the three medians of triangle ABC
Answer:
y= -7/6x+6
y= -1/2x+8
x = -3
Step-by-step explanation:
Find the slope of the lines of the triangle. Then you can find the perpendicular slope of that (the slope of the altitudes) by inversing it and switching the = or - sign. Then you have a point the altitude goes through (one of the vertices) and the slope. Then you can make the equation.
What is x minus 1???
Answer:
N/A
p-by-step explanation:
x minus 1 is already a simplified expression (can only be solved if you know x)