Answer:
2(x+7)(x-7)
Step-by-step explanation:
1. In 2x^2-98, there is a common factor of 2
2. The equation therefore becomes 2 (x^2 - 49)
3. We know that x^-49 is a difference of two squares and can therefore be factored into (x+7)(x-7)
4. Therefore the fully factored answer is 2(x+7)(x-7)
The owner of a grocery store wants to mix two kinds of condy together to make 15lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.
Step-by-step explanation:
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Answer:
9 pounds of chocolate candy
6 pounds of sugar candy
Step-by-step explanation:
x will represent pounds of chocolate candies used
y will represent pounds of sugar candies used
x + y = 15
x · $7.00 + $2.00 · y = $5.00 · 15
x = 15 - y
(15 - y) · $7.00 + $2.00 · y = $5.00 · 15
105 - $5.00 · y = 75
105 - 75 = $5.00 · y
$30 = $5.00 · y
$30 ÷ $5 = y
$30 ÷ $5 = 6
y = 6
x + y = 15
x + 6 = 15
x + 6 - 6 = 15 - 6
x = 9
HURRY !! Please
The answer choices are
A- 2 pi m
B- 360 pi m
C- 12 pi m
D- 2 pi m
Answer: 2pi
[tex]l=\frac{\pi .4.90 }{180}=2\pi[/tex]
Step-by-step explanation:
Which expression is equal to 4√32 • √2
A. 16
B. 4√2
C. 32
D. 16 √2
the is c.32$&$&#&#
Step-by-step explanation:
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HELPPPP
Jonathan purchased pants for 25% off. the original cost of the pants were $54.75 what was the cost of the pants after discount?
Answer:
$41.0625
Step-by-step explanation:
Divide $054.75 by 4
Multiply the answer to that (13.6875) by 3 or subtract 054.5 by 13.6873
The answer to that step is your answer.
Can someone help please I’ll give brainliest!
with what question???
Answer:
What do you need help with. i will help you.
i
Step-by-step explanation:
Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?
Answer:
525 minutes
Step-by-step explanation:
Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.
Her monthly budget is $29.50.
Let Tamara can make a maximum number of n minutes call in a month.
So, call charges for n minutes = $0.02n
Total monthly expenses on her phone = 19+0.02n
As her monthly budget is $29.50.
So, 19+0.02n=29.50
0.02n=29.50-19
0.02n=10.50
n=10.50/0.02
n=525
Hence, she can make a maximum of 525 minutes call.
Plsss. Help plalssssssa
Contestant and like terms. What do they mean?
Answer:
Step-by-step explanation:
Like Terms: terms that have the same variable raised to the same power. So like 5x plus 5x plus 5. 5x and 5x are like terms.
I'm going to assume you mean Constant instead of contestant so
Constant: Terms without variables
Example: 5x+2x+7
5x and 2x are like terms
7 is a Constant
Please help me I will mark brainlest
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A is at -2 so D has to be at positive 2, C is located at -3 1/2, and B is at 3.5.
yall im looking rough today...no filter
Answer:
ok
Step-by-step explanation:
NEED HELP TO FIND x ASAP!!!!!!!!!
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4 ?
Answer:
The property used here is: Multiplication property of Equality
Step-by-step explanation:
Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways
Way 1: Solving using proportion:
[tex]\frac{x}{4}=\frac{36}{16}[/tex]
By cross multiplying:
[tex]16x=144[/tex]
Divide both sides by 16
[tex]x=9[/tex]
Way 2:
She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps
Multiply both sides by 4
[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]
We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]
The property used here is: Multiplication property of Equality
The property states that if A , B and C are real numbers then
A = B and AC = BC are equivalent.
Answer:
C
Step-by-step explanation:
Solve the equation. -0.2(30) + 0.5x = 0.2(30 + x)
Answer:
x=40
Step-by-step explanation:
PLsss Someone help I can't figure it out?
A store sold 156 boxes of candy canes over the holiday season. Each box contained 12 candy canes. How many candy canes were sold in all?
Answer:
1,872 candy in total :)
Step-by-step explanation:
The aquarium has 198 fish tanks with 15 fish in each. They also have 297 tanks with 12 crustacean in each. Does the aquarium have more fish or crustaceans?
*ANSWER: Crustacean, by just dividing aquariums, and the crustceans, there's more Crustaceans.
The two lines graphed belon are parallel. How many solutions are there to the
system of equations?
i need help with this fast
Which ordered pair does NOT satisfy the system x + 2y > 5 and 3x - y < - 2 ? *
A. (-3, 7)
B. (-1, 4)
C. (0, 0.25)
D. (0, 5)
Answer:
Answer is D
Step-by-step explanation:
Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?
ALREADY LATE PLS HELP!!!
Answer:
36 ounces
Step-by-step explanation:
9 x 4 = 36
Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the bike-a-thon began. This is shown in the table below. Based on this table, is the total distance traveled by Adam a function of time?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Answer: no, because it’s he total distance of 32 miles is repeated in the table
Step-by-step explanation:
I passed the test
Use the slope-intercept form to graph the equation y=-8/3x+3
Answer:
See below :)
Step-by-step explanation:
The easiest way to graph this is to find the x-intercept and y-intercept,
y-intercept:
The y-intercept is extremely easy to find as it's just the "b" in "y = mx + b"
If there is no b, it's (0,0). If there is a b, its (0,b)
This is because the y-intercept is where the lines hits the y-axis so we know x must be 0. We can plug in x as 0 to find y:
y = m(0) + b
y = b
In this case, the y-intercept is (0,3) because the b in y = -8/3x + 3
x-intercept:
The x-intercept requires a little more work. It's the same as the y-intercept. The x-intercept is where the lines hits the x-axis so we know y must be 0. The x-intercept is (x,0)
We can use this to plug in y as 0:
0 = mx + b
mx = -b
Now we use this to find the the x-intercept:
0 = -8/3x + 3
8/3x = 3
Divide both sides by 8/3:
x = 3 * 3/8
x = 9/8
In this case, the x-intercept is (9/8,0)
Now we can use these points and connect a line to them and then the lines keeps going forever. Look at the picture I uploaded :)
In the diagram at right, which letter, with regards to W, is the angle of depression?
Answer:
c
Step-by-step explanation: i think
Help please fast ahh
Answer:
the 2nd one
Step-by-step explanation:
-12 may be more in positive numbers but it is less in negative numbers
linear or non linear?
Answer:
non linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
Which expression is equivalent to (x⁶y⁸)³/x²y²
The equivalent expression is [tex]x^{16}y^{22}[/tex]
Find the unit rate.
6,840 customers in 45 days.
UNIT RATE:
customers per day.
Answer:
152
Step-by-step explanation:
6840 divided by 45 is 152
Divide 1/4 and 2/3 and express the answer in simplest form
Answer:
3/8
Step-by-step explanation:
It just is
Answer:
3/8
Step-by-step explanation:
hope this helps!
.
What's the mean median and range of 5, 15, 10, 20,15 10, 15
Answer:
Mean = 12.85714
Median = 15
Range = 15
Step-by-step explanation:
Mean:
5 + 15 + 10 + 20 + 15 + 10 + 15 = 90
90 / 7 = 12.85714
Median:
5, 10, 10, 15, 15, 15, 20
Median = 15
Range:
20 - 5 = 15
