Step by step
a(b+c) - d = e, for a
Answer:
a = [tex]\frac{e+d}{b+c}[/tex]
Step-by-step explanation:
To isolate the a, the first thing I would do is bring the d to the other side of the equation, remember to switch the sign. This would give me a(b+c) = e+d. Next, in order to get rid of the (b+c), bring it to the other side by dividing since it is attached to the a variable by multiplication. This leaves me with a = e+d / b+c. Make sure not to distribute, this would duplicate your a variable.
The table shows the price for different numbers of chocolate boxes:
Number of Chocolate Boxes Price (in dollars)
2 10
3 15
4 20
5 25
Does this table of numbers represent a proportional relationship? (1 point)
No, because the price of 3 boxes should be $11
No, because the price of 4 boxes should be $40
Yes, because 5 times the price is the number of boxes
Yes, because the price is 5 times the number of boxes
Write an equivalent expression by combining like terms. 3(1/4x+2)+(1/5x−2)
Answer:
3(19/20x)+ 4
Step-by-step explanation:
Angles J and Z are vertical
angles. If measure of angle J = 3x + 21
and measure of angle K = 5X - 35, find the
measures of both angles.
Answer:
3x-x+2=4
Step-by-step explanation:
Write the equation of the line that passes through the given point and is perpendicular to the given line. (0, 3); 3x − 4y = −8
Answer:
y = -4/3x + 3
Step-by-step explanation:
3x − 4y = −8
-4y = -3x - 8
y = 3/4x + 2
slope m = 3/4
perpendicular version of it is opposite inverse: -4/3
y-intercept through point (0, 3):
y = mx + b
3 = -4/3(0) + b
b = 3
Use the perpendicular slope with b from above to form new perpendicular equation of line:
y = mx + b
y = -4/3x + 3
-17(y-2) = -17y + 64
Answer:
No solution.
Step-by-step explanation:
Step 1: Write equation
-17(y - 2) = -17y + 64
Step 2: Solve for y
Distribute -17: -17y + 34 = -17y + 64Add 17y on both sides: 34 ≠ 64Here we see that we get y = no solution. You could also think about it as 2 parallel lines; they have the same slope but different y-intercepts so therefore there will be no intersection/no solution.
A sequence has a common ratio of 3/2 and f(5) = 81. Which explicit formula represents the sequence?
A) f(x) = 24(3/2)^×-1
B) f(x) = 16(3/2)^x-1
C) f(x) = 24(3/2)^x
D) f(x) = 16(3/2)^x
Answer:
F (x) = 16 (3/2) x-1
Step-by-step explanation:
The answer is B
Compute the following sums and differences.
lol this is super ez
1. (0.031)
2.(0.303)
3.(1.05500)
Please mark brainlest. :)
10 point for the question
Answer: Smallest - Largest
1. 7.056
2. 8.07
3. 8.24
4. 8.5
5. 9.87
Answer:so if you send me a google doc i will answer it cant answer it niw
Step-by-step explanation:
Pls help I will mark BRAINLIEST if you get it correct ♡︎シ
Answer:
The photo is super blurry I can't see it
Step-by-step explanation:
Answer: A
Step-by-step explanation:
If you follow the arrows, -2 goes to 0,
-1 goes to 0,
0 goes to 6
2 goes to 1,
And 3 goes to 2.
If u answer I will give you brainliest.
A car traveled a distance of 600 km at a speed of 75 km/hr. How many hours did it take the car to travel that distance? *
A 8 hrs
B 45 hrs
C 0.1 hrs
D 80 hrs
Answer: A. 8 hrs
Step-by-step explanation:
Write the equation of the line, with the given properties, in slope-intercept form.
Slope = -4, through (7,4)
Answer:
Step-by-step explanation:
Slope-intercept form means the equation should be written in this manner
[tex]y=mx+c[/tex]
where m is the slope and c is the y-intercept
so lets take all the date we have to achieve it.
We have a point (7,4) and slope which is m= -4 we can substitute the slope and point in our equation and find the y-intercept .
[tex]y=mx+c\\4=(-4)(7)+c\\4=-28+c\\32=c[/tex]
so now we have our y-intercept that is c=32
now for the equation to be in the slope-intercept form we need m and c and we have both so just replace these variables with their values.
[tex]y=-4x+32[/tex]
The Jensen family took a trip in September. Sally's dad pays $83.58 to fill up the gas tank of the SUV. When he filled up the gas tank, the gas price was $3.799 per gallon. What is the size of the gas tank in gallons?
Answer:
22
Step-by-step explanation:
Do 83.58 divided by 3.799
Twenty-seven minus of a number (x) is not more than 36. What is the number?
A.
x > 42
B.
x ≥ -6
C.
x < 3
D.
x ≤ -6
Answer:
Step-by-step explanation:
Symbolically, we have: 27 - x ≤ 36.
We want to solve for x. To do this add x to both sides, obtaining:
27 ≤ x + 36.
Isolate x by subtracting 36 from both sides: -9 ≤ x or x ≥ -9
Please ensure that you have copied this probelme down correctly. "minus of a number" is not correct; perhaps you meant "minus a number."
help plz I don't understand
Answer:
1 - a. addition
2 - c. constant
3. - b. coefficient
4. - d variable
Step-by-step explanation:
+ is the universal sign for addition
11 is a number which is always constant
here w doesn't have a constant value and can be any number. hence it is a variable
the 2 in the 2w is a number which multiplies with the variable w. the value of 2w varies with the value of w. So here 2 is the coefficient of the w in 2w
A car leaves Town A for Town B, which are 550 km apart, at an average speed of
72 km/h. At the same time, a truck leaves Town B for Town A and travels along
the same road as the car at an average speed of 38 km/h. Find the time taken for the
two vehicles to meet.
Answer:
b
Step-by-step explanation:
HEEEELP i really really need help!
Answer:
it would be A $3 49
Step-by-step explanation:
Answer:
Step-by-step explanation:
change 1 4/6 to a number
Hannah made a deposit into her savings account at a simple annual interest rate of 5%. Hannah earned $3600 in interest after 8 years. What amount did Hannah originally deposit?
A. $4500
B. $7200
C. $9000
D. $12,600
ps its NOT B
Answer: B 7200
Step-by-step explanation:
C 9000
Step-by-step explanation:
8×5%=40%
40% of 9000=3600
How do you know which way the rotation is going in geometry? For example clockwise or counterclockwise.
A boat can travel 32 miles on 4 gallons of gasoline. How much gasoline will it need to go 48 miles?
Answer:
6 gallons
Step-by-step explanation:
32/4=8
48/8=6
Answer: 6
Step-by-step explanation: If 4 gallons can take you 32 miles, divide 4 into 32 to get 8. That means 8 miles is 1 gallon. Now just do 48/8 to get 6.
an article was sold for $560 inclusive of a 20% discount. what was the price before the discount was given?
Answer:
672
Step-by-step explanation:
(1. Turn the percent into a decimal) 20% = 0.20 (2. Multiply 560 x 0.20 = 112) (3. Add 560 + 112)
Caleb is making a soil mix that is 3 parts peat moss to 12 parts dirt. How much dirt should he use for every 1 cup of peat moss?
A He should add cup of dirt
B. He should add cup of dirt.
4
He should add 3 cups of dirt.
He should add 4 cups of dirt
Answer:
He should use 4 cups of dirt, Choice D
Step-by-step explanation:
Ratio of moss to dirt: 3:12 The ratio simplifies to 1:4
This shows that for every cup of moss, he should use 4 cups of dirt as the ratio says.
Answer:
4 cups of dirt
Step-by-step explanation:
since it is a ratio of 3:12, it can be put as a fraction of 3/12 which can be simplified to 1/4 thus is the ratio of 1:4 thus 1 part peat moss to 4 parts dirt and since the measurement is cup, you change parts to cups and you have your answer.
i need help with 2: simplify algebraic expressions
Answer:
a). 11x²
b). 6x + 5y
c). -4x - 20
Step-by-step explanation:
a). 8x² + 3x²
When you collect the like terms (8 and 3 are the coefficients of x²) and add them together, you get 11x²
b). 3x - 5x + y + 4y + 8x
Start by placing the like terms next to each other.
3x - 5x + 8x + y + 4y
Then add/subtract
6x + 5y
c). -4(x + 7) + 8
First, you have to expand the expression and then simplify.
-4x - 28 + 8
-4x - 20
Brian bought 4 yards of fabric. How much is this in feet?
Sara deposited $150 to open a new bank account before she paid $225 for her portion of the rent. Her bank charged her a $50 overdraft fee. Then she deposited her paycheck of $450. How much money is in Sara’s account now? *
Answer:
$400
Step-by-step explanation:
450-50=400
Answer:325
Step-by-step explanation: Start off with 150, 150-225=-75 -75-50=-125 -125+450=324 Positive
-
Then Jorge does inventory on the drinks on average customers consume 22.75 L of lemonade per hour the restaurant is open on Sunday Jorge checks the giant lemonade machine at the start of the weekend there were 346.65 L of lemonade in the machine now there are only 5.4 L left based on this for how many hours was the restaurant open this weekend?
Kim bought a hat in California. The hat cost $15 before the 8% sales tax was applied. How
much did Kim pay for the hat after taxes were added?
Answer:
$16.20
Step-by-step explanation:
to find the sales tax multiply the original number by the sales tax. 15*.08 is 1.2. Then add that to $15
VGeorge has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15 − 9 + 2.65 + 1.35 + 2(1.74) Can you help him determine why he does not have enough money?
Given:
George has $15.
He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.
George used: 15 − 9 + 2.65 + 1.35 + 2(1.74)
To find:
Why he does not have enough money.
Solution:
Money her has = $15
All the expenses movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) must be subtracted from the money he has instead of adding these values.
George add the cost of pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each), therefore, he does not have enough money.
Remaining Amount = [tex]15-9-2.65-1.35-2(1.74)[/tex]
[tex]=15-9-2.65-1.35-3.48[/tex]
[tex]=15-16.48[/tex]
[tex]=-1.48[/tex]
Remaining money cannot be negative. Here expenses are more than the money he has. Therefore, he does not have enough money.
Answer:
it's not the best answer but i hope it helps
Step-by-step explanation:
George only has $15 dollars left. He spend $9.00 on a movie ticket and $2.65 on a pretzel. $9.00 - $2.65 would leave him with $6.35. Then, George decided to buy a drink for $1.35. George then wanted to get two veggie cups both for the price of $1.74, but if you subtract $1.35 - $1.74 thus would leave him with $0.39 and he wouldn't have enough money to buy both veggie cups. If George had $1.38 left then he would have enough to buy both veggie cups.
Find the product of the two rational numbers: -21/13 x -12/17
A. -252/221
B. 252/221
C. 221/252
D. -221/252
What number can you multiply 2 by three times to get to 128?
Answer: 2x64=128
hope this helps
