The new system of equations is 2p + 16q = -16 and p + 10q = -10, and they have the same solution with the old because it can be converted
A new system of equationsThe system of equations is given as
p + 8q = -8
1/2p + 5q = -5
To generate a new system of equations, we can multiply the old equations by 2
So, we have the following computations
2(p + 8q = -8)
2(1/2p + 5q = -5)
Evaluate the products
2p + 16q = -16
p + 10q = -10
Why they would have the same solutionsThey would have the same solutions because the new equations can be converted to the old equations
This is done by dividing the new equations by 2
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2^3 + 4 ⋅ 8
25 POINTS! HELP ME PLEASE!!!!!!!!
Answer:
40
Step-by-step explanation:
2^3 + 4 * 8
= 8 + 4 * 8
= 8 + 32
= 40
the smith family is on a 256 mile road trip. they plan to do the trip in 4 days.how far would they need to drive each day?
Answer: 64
Step-by-step explanation: Assuming this family makes no stops, all you would need to do is divide 4 into 256, which gives you 64.
Answer:
64
Step-by-step explanation:
Rational Exponents
Solve and show your work.
[tex](x+5)^{\frac{2}{3} } =4[/tex]
4. Rusty's hair grows at the rate of 2/4 inch per month. a. How many months will it take Rusty's hair to grow 7/8 inch? b. Explain your answer using words, and show your work using division of fractions.
Answer:
x = 1 month 3 days
Step-by-step explanation:
Given that,
Per month growth of Rusty's hair = 2/4
We need to find in how many months will it take Rusty's hair to grow 7/8 inch.
1 month = 2/4
In x months = 7/8 inches
Let it grow 7/8 inch in x months.
[tex]\dfrac{\dfrac{2}{4}}{\dfrac{7}{8}}=\dfrac{1}x\\\\\dfrac{1}{x}=\dfrac{2}{4}\times \dfrac{8}{7}\\\\x=\dfrac{7}{4}\ \text{months}\\\\x=1\ \text{month}\ 3\ \text{days}[/tex]
So, it will take 1 month 3 days to grow 7/8 inches.
Answer:
x = 1 month 3 days
Step-by-step explanation:
Given that,
Per month growth of Rusty's hair = 2/4
We need to find in how many months will it take Rusty's hair to grow 7/8 inch.
1 month = 2/4
In x months = 7/8 inches
Let it grow 7/8 inch in x months.
So, it will take 1 month 3 days to grow 7/8 inches.
A convenience store sell pre-paid mobile phones. It purchases them for $12 each and uses a mark up rate of 250%. What is the mark-up amount for the phones? What is the retail price of the phones after the mark up?
Answer:
The convenience store has a markup amount of $30 on the pre-paid mobile phones and the retail price is $42
Step-by-step explanation:
The purchase price of the pre-paid mobile phones is $12.
The convenience store uses a markup rate of 250%.
The markup amount is:
250 * 12 / 100 = 30
The retail price is the purchase price plus the markup amount:
Retail price = $12 + $30 = $42
The convenience store has a markup amount of $30 on the pre-paid mobile phones and the retail price is $42
Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each. Write and equation where c represents the total cost, g is the number of games he bought, and p is the number of controllers he bought.
Answer:
c = 13.50g + 55p
Step-by-step explanation:
You multiply the cost of the item by the amount you bought.
An equation for the total cost of video games and controllers is c = 13.50g + 55p.
Given that, Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each.
We need to write an equation where c represents the total cost, g is the number of games he bought, and p is the number of controllers he bought.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, the total cost of video games=13.50g
The total cost of controllers=55p
Total cost =c = 13.50g + 55p
Therefore, an equation for the total cost of video games and controllers is c = 13.50g + 55p.
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5 6 What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?
Answer:
I think its y=-3x+15 not 100%
16x - 5 = 18x - 2 solve for x
Answer:
x = -1.5
In fraction form:
[tex]x=-\frac{3}{2}[/tex]
Step-by-step explanation:
Equations
Find the value of x such that the equality is true.
16x - 5 = 18x - 2
Subtract 18x:
16x - 18x - 5 = -2
Simplify:
-2x -5 = -2
Add 5:
-2x = -2 + 5
Operate:
-2x = 3
Divide by -2:
x = 3 / (-2)
x = -1.5
In fraction form:
[tex]x=-\frac{3}{2}[/tex]
y=-1/4x+7 y=4x-4
is this a perpendicular or parallel line?
Answer:
It's perpendicular
Step-by-step explanation:
All you need to do to solve these problems is look at the slope, so the x in each equation
If it's parallel the slope will be the exact same (ex. y = 2x + 4 and y = 2x - 8)
If the equation is perpendicular the slopes will be Opposite Reciprocal so they have opposite signs (pos./neg.) and will be the reciprocal of each other (ex. 5 = 1/5)
So a perpendicular line will look like this- y = -4x + 2 and y = 1/4x - 2
The y-intercept will never matter for this question. Hope I could help!
What is HJ + JM?
G H I J K L M N O
+
-4 -3 -2 -1 0 1
w+z
0++
HJ + JM =
Answer:
0
Step-by-step explanation:
Coordinate of H = -3
Coordinate of N = 3
[tex] \overline{HN} [/tex] = |-3 - 3| = |-6| = 6
Midpoint of [tex] \overline{HN} [/tex] is ½ the distance of [tex] \overline{HN} [/tex] = 3.
Therefore, coordinate of the midpoint of [tex] \overline{HN} [/tex] is the coordinate of H + 3 = -3 + 3 = 0
Or
The coordinate of N - 3 = 3 - 3.
Therefore, the midpoint of [tex] \overline{HN} [/tex] is 0.
What is 325% written as a mixed number in simplest form? (Hint: Make decimal first.)
1. 3 1/4
2. 30 3/4
3. 32 1/2
4. 300 1/4
Answer:
3 1/4
Step-by-step explanation:
can someone help with this question
Answer:
Its hard to kinda see so im not so sure sorry
Step-by-step explanation:
The equation c = 2.95g represents the proportional relationship between the cost of gasoline and the amount purchased on a given day. In the equation, c represents the cost in dollars, and g represents how many gallons of gas were purchased. What is the constant of proportionality for this relationship?
Answer:
2.5
Step-by-step explanation:
Given the expression c = 2.95g
since c represents cost
g represents how many gallons of gas were purchase
the terms that relates the cost to the numbers of gallons purchased is
2.5 which is equally the constant of proportionality
Therefore the constant of proportionality is 2.5
Help me and ill give u an oreo
Answer:
I think it would be (11,1),(2,10),(-7,1),(2,-8)
Step-by-step explanation:
Me want oreo and brainlist thx
Find the distance beetween 4, -3 and 4,2
Answer:
5
I hope this helps!
Answer:distance beetween 4, -3 =-7 distance beetween 4,2=2
please help . What Is the solution to this linear system? Enter a value in each box to create an ordered pair
Answer:
The answer to this linear system is 7,-1
4/7 times 5/16 simplest form
Answer:
the answer in simplest form is 5/28
Answer:
5/28
Step-by-step explanation:
I just used a calculator but the denominator have to be the same. Then once the denominators are, make sure that how many times you multiplied to get the denominator you do to the top.
Find the area of the rectangle contained within the following four lines
x = 0, x = 17, y= -5, y= -1
PLEASE EXPLAIN THIS PROPERLY if you do you will get a brainliest. PLEASEEEEEEEEEE HELPPP
Janice put $5823.00 into a savings account that pays 2.25% interest.If she leaves that money in the account for 4 years,how much will the balence of her account be?
Given:
Principal value = $5823.00
Rate of interest = 2.25%
Time = 4 years
To find:
The amount in the account after 4 years.
Solution:
The formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
where, P is principal, r is rate of interest and t is time period.
Putting P=5823, r=2.25 and t=4 in the above formula.
[tex]A=5823\left(1+\dfrac{2.25}{100}\right)^4[/tex]
[tex]A=5823\left(1+0.0225\right)^4[/tex]
[tex]A=5823\left(1.0225\right)^4[/tex]
[tex]A=5823(1.0930833)[/tex]
[tex]A=6365.0240559[/tex]
[tex]A\approx 6365.024[/tex]
Therefore, the amount in the according after 4 years is about $6365.024.
The distance a truck travels various directly by the number of hours driven at a constant rate. A truck travels 195 miles in 3 hours. If the truck continues to travel at the same rate how many hours will it take the truck to travel 325 miles?
Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it?
Answer:
a. 8 heads. b. 1024 heads.
Step-by-step explanation:
a. How many heads would the Hydra have on the third day?
Since the Hydra's head doubles for every initial head that is cut off on each day, the number of heads the hydra has after each day is 2ⁿ where n = number of days. Now, the head increase of the Hydra form a geometric sequence with the first term as 2 since we initially had one head and was cut off to produce 2 heads. On the second day, two heads are cut off to produce four which is 2² and so on.
So, on the third day, we have 2³ heads = 8 heads.
b. And at the end of 10 days of trying to kill it?
At the end of 10 days we have n = 10 in 2ⁿ. So, 2¹⁰ = 1024 heads.
So, at the end of 10 days, the Hydra has 1024 heads.
What does the statement H(30)=H(25)+5H(30)=H(25)+5H, left parenthesis, 30, right parenthesis, equals, H, left parenthesis, 25, right parenthesis, plus, 5 mean? Choose 1 answer:
Answer:
When Amelia was 30 months old, she was 5 centimeters taller than when she was 25 months old.
Step-by-step explanation:
Because it's the answer
PLS HELP! I WILL GIVE THE FIRST GOOD ANSWER BRAINLIEST!
A whopper bought shoes marked $40. The sales tax is 8%. How much did the shopper pay in tax? How much did the shopper pay in all?
can I have full explanation because I don't GET IT AT ALL
Answer:
About $3.20 in tax, $43.20 total
Step-by-step explanation:
First you want to put the percentage into a decimal, 0.08. Then you would multiply the $40 by 0.08 (tax) to get the amount of tax ($3.20). Then to find the total amount, you could either add $3.20 and $40 together or you could multiply $40 by 1.08 (this accounts for both the item and the tax) to get $43.20.
Answer:
never mind
Step-by-step explanation:
PLEASE HURRY! Write the relation shown in the mapping diagram
as a set of ordered pairs.
1-
1 3
0
-2.
5
2. Which set of ordered pairs represents a function?
A. {(-1, 4), (2, 4), (8,4), (10,4)}
nts
B. {(0, -2), (3,7), (0, 2), (18, 2)}
C. {(-1,3), (1, -1),(-1, -12), (-1,0)}
D. {(1, 2), (2, 3), (3, 4), (3,5)}
I need help please help
Answer:
The answer is the first option.
Step-by-step explanation:
I used a site to help
HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
SHOW WORK PLEASE
What is the measure of
Answer:
Angle TWX equals 44.
How To Do It:
You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.
Set Expressions Equal To Each Other To Find The Value Of X:
(6x-26)=(2x+6)----------add 26 to each side
6x=2x+32----------subtract 2x from both sides
4x=32----------divide both sides by 4
x=8
Plug-In The Value Of X To Each Expression & Add:
(6(8)-26)+(2(8)+6)----------distribute the 8 to each coefficient
(48-26)+(16+6)----------add/subtract numbers inside the parentheses
(22)+(22)----------add the final products together
44----------*Final Answer*
David made 4/6 of a quart of fruit juice. Daniel made ⅔ of a quart of juice. Each mug he has holds 1/3 of a quart. How many mugs will they be able to fill together?
Answer:
together, they will fill 4 mugs
Step-by-step explanation:
Given;
a mug holds 1/3 of a quart.
First determine how many mugs to be filled by 4/6 of a quart of fruit juice made by David;
[tex]= \frac{\frac{4}{6} }{\frac{1}{3} }\\\\ = \frac{4}{6}* \frac{3}{1}\\\\ = 2 \ mugs[/tex]
Lastly, determine how many mugs to be filled by ⅔ of a quart of juice made by Daniel;
[tex]= \frac{\frac{2}{3} }{\frac{1}{3} }\\\\ = \frac{2}{3} *\frac{3}{1}\\\\ = 2 \ mugs[/tex]
Therefore, together, they will fill 4 mugs
please help. it’s just homework but i need to pass
Find the slope and y-intercept of y=4/3 x-3
Answer:
Slope: 4/3
Y-intercept: -3
Step-by-step explanation:
The formula is...
y = mx + b
Where m is slope and b is y-intercept so in this case, 4/3 is slope and -3 is the y-intercept.
Hope that helps and have a great day!
Answer: The slope is 43, the y- intercept of y=4/3 x-3 is 0,-3.
Step-by-step explanation:
Whoever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up, i need u to live.
i wish i could take everyones problems so yall wouldn't have to have them but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
Answer:
=) you are so sweet and this is very much appreciated
Step-by-step explanation:
thank you
