Answer:
7.5+7.t
and
(5+t).7
are equivalent to 7(t+5)
Option D and E are equivalent to 7(t + 5) That is :
(5 + t) • 7 and 5(t + 7)
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
7(t + 5)
7(t+5) multiply 7 with inside the parenthesis
7(t+5) = 7t + 7x5
this result is equivalent to option D and E which will give the same result.
Therefore, Option D and E are equivalent to 7(t + 5).
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What is 68×4-43..? XP I really need help with this one.
YALL PLS HELP ILL GIVE BRAINLIST I HAVE MATH IN 20 MIN PLS HELP
Answer:
so from one wheel side to the other is 27 inches it makes 15 rotations which means we would do 15 * 27 which is 405in
Step-by-step explanation:
Xy3-9xyz2 is my math problem and I need help with the complete breakdown
(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)
A substance with a half life is decaying exponentially. If there are initially 12 grams of the substance and after 2 hours there are 7 grams, how many grams will remain after 3 hours? Round your answer to the nearest hundredth, and do not include units.
If there initially 12 grams of the substance, 5.35 grams will remain after 3 hours
The initial amount, a = 12 grams
The amount after 2 hours, y = 7 grams
Time taken, x = 2 hours
First, let us calculate the decay constant, b
The formula for the final value of an exponential decay is:
[tex]y=a(1-b)^x[/tex]
Substitute y = 12, a = 7, and x = 2 into the equation to solve for b
[tex]7=12(1-b)^2\\\\\frac{7}{12} = (1-b)^2\\\\0.583=(1-b)^2\\\\\sqrt{0.583} = 1 - b\\\\0.764=1-b\\\\b=1-0.764\\\\b=0.236[/tex]
The decay constant, b = 0.236
After 3 hours:
Substitute x = 3, a = 12, and b = 0.236 to solve for y
[tex]y=a(1-b)^x\\\\y=12(1-0.236)^3\\\\y = 5.35[/tex]
Therefore, 5.35 grams will remain after 3 hours
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PLEASE ASAP HELPPPP PICK THEM ALL!!
Answer:
B
Step-by-step explanation:
Catering the concord theater serves punch during intermission. If each of 200 people think 1 c of punch, how many gallons of punch should be prepared?
please help and show me the answer thank you
Answer:
they will need 2 gallons of punch
30/5.472 i need to use dividing decimals
Answer:
18.240
Step-by-step explanation:
Change the divisor 0.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
54.72 ÷ 3 = 18.240
and therefore:
5.472 ÷ 0.3 = 18.240
Both calculated to 3 decimal places.
1 8. 2 4 0
3 5 4. 7 2 0
− 3
2 4
− 2 4
0 7
− 6
1 2
− 1 2
0 0
− 0
0
What is 4/9 - 1/12 least common moltiple
Answer:
36
Step-by-step explanation:
The LCM of 4, 9, and 12 is the product of all prime numbers on the left, i.e. LCM(4, 9, 12) by division method = 2 × 2 × 3 × 3 = 36.
[tex]\frac{4}{9} -\frac{1}{12} = \frac{4.4}{9.4} - \frac{1.3}{12.3} = \frac{16}{36}- \frac{3}{36} = \frac{13}{36}[/tex]
ok done. Thank to me :>
According to Josh's checkbook register, he had a transaction for less than -608 dollars on Monday. Which of the following best describes this transaction?
A.
Josh received less than 608 dollars on Monday.
B.
Josh received more than 608 dollars on Monday.
C.
Josh spent less than 608 dollars on Monday.
D.
Josh spent more than 608 dollars on Monday.
Answer:
A option A is the write answer
12. A rectangular garden has a length of L meters and a width of 3 meters less than its length. How much does it cost to put a fence around the garden if the fencing is $4 per meter?
Answer:
Area: (2x - 7) * (3*2 + 4x)
(2x - 7) * (6 + 4x)
8x-42
Perimeter: 2(2x - 7) + 2(3*2 + 4x)
Step-by-step explanation:
hope this helps!
A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
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Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
Which of the following angles is corresponding with 25?
02
07
08
04
Answer:
∠7 . However ∠7 and ∠8 are vertical angles which are equal,
Step-by-step explanation:
Angle ∠7, but because ∠7 and ∠8 are vertical angles and they are equal also.
∠5 corresponds to ∠7
m ∠7 = m ∠8 vertical angles are =
I will say ∠7 and ∠8.
Ano po tawag dito pinapalipad po to lalagay nyo po yung shape fan blade sa stick tapos po lilipad.
Wag nyo po sagutin kung di po alam.
Mga tutors pasagot po di ko po kau mapili dahil Wala po pambayad
Answer:
Flower stick hahhhahaHaha
A linear function is defined by the equation f(x)=-2(x+5). The table below represents another linear function ,g(x). What is the distance between the y-intercept of f(x) and the y-intercept of g(x) ?
Answer:
b. 3
Step-by-step explanation:
find equation of g(x):
(-16-(-10))/(-3-(-1))=-6/-2=3
apply a point
-16=3(-3)+n
-16=-9+n
n=-7
g(x)=3x-7
find equation of f(x):
f(x)=-2(x+5)
simplify
f(x)=-2x-10
subtract y intercepts
-7-10=3
3
What is the value of the expression 3 (5to the 3rd power) + 4t to the 2nd power when s = 5 and t = 3?
Answer:
411
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
3s³ +4t² = 3(5³) +4(3²)
= 3(125) +4(9) = 375 +36 = 411
Which of the following is the equation of a line that passes through the point
(3,2) and is parallel to the yaxis?
A. y = 2
B. y= 3
C. x= 3
D. x = 2
a line has a slope of -19/8 and passes through the point (0,12). what is its equation in slope intercept form
Answer:
y=-19/8x+12
Step-by-step explanation:
Slope intercept form is
y=mx+b
m is slope
b is y-intercept
So we already know what the slope is so we can plug that in
y=-19/8x+b
Now with the point we can substitute x and y with the point values
[Remember a point is (x,y)]
0 is x
12 is y
12=b
So the slope intercept form of this is
y=-19/8x+12
Hope this helps!
10(-7y-2z)+4z-2(-8z+6y) simple form
[tex]10(-7y-2z) +4z -2(-8z+6y)\\\\=-70y -20z +4z +16z - 12y\\\\=-82y -4z+4z \\\\=-82y[/tex]
1. Mark bought 5 shirts for 32.35.What was the cost of each stint in dollars and
Answer:
$6.47 for each shirt
Step-by-step explanation:
If s is the cost of a shirt, then the cost of 5 shirts is ...
5s = $32.35
s = $32.35/5 = $6.47 . . . . . divide both sides of the equation by 5
The cost of each shirt was $6.47.
_____
Additional comment
The equation formalizes the math for you, perhaps helping you see that division by 5 is required.
To find cost per shirt, divide cost by shirts. "Per" can often be thought of as meaning "divided by."
On Saturday, 150 people at a movie theater purchased popcorn, and 350 people did not purchase popcorn. What percentage of people did not order popcorn at the movie theater on Saturday?
Answer:
70% of people did not order popcorn at the movie theater on Saturday.
Step-by-step explanation:
first, add to get the total amount of people
150 + 350 = 500
now that we have the total, divide the people that did not buy popcorn by the total amount of people
350/500 = 0.7
then, multiply that by 100
0.7 x 100 = 70
your final answer would be 70%
Subtract from (4x- 5y+3z) from the sum of (9x+2y-3z), (-10x+ y- z) and (2x+ 3y+ 7z).
Explain
Step-by-step explanation:
★First let's find out the sum.
(9x + 2y - 3z) + (-10x + y - z) + (2x + 3y + 7z)
= (9x - 10x + 2x) + (2y + y + 3y) + (-3z - z + 7z)
= (x) + (6y) + (3z)
= x + 6y + 3z
★Now subtraction:
(x + 6y + 3z) - (4x - 5y + 3z)
= (x + 6y + 3z - 4x + 5y - 3z)
= (x - 4x + 6y + 5y + 3z - 3z)
= -3x + 11y★∴Answer is -3x + 11y
______________________Mr. Morgan's ice cream shop made $1,380 last weekend selling $2 scoops of ice cream. If he sells 100 more scoops this weekend, about how many scoops will he sell?
Answer:
1580$
Step-by-step explanation:
Approximately 19% of physics majors in the US are women. To test whether your college differs significantly from the national average, you take a random sample of 50 physics majors at your college and find that 11 are female. Calculate the appropriate test statistic to determine whether your college differs significantly from the national rate
Testing the hypothesis, it is found that the appropriate test statistic is z = 0.54.
At the null hypothesis, it is tested if the proportion of women physics majors in your college is the same as the national average of 19%, that is:
[tex]H_0: p = 0.19[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.19[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.19, n = 50, \overline{p} = \frac{11}{50} = 0.22[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.22 - 0.19}{\sqrt{\frac{0.19(0.81)}{50}}}[/tex]
[tex]z = 0.54[/tex]
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2. Jones has already taken 1 page of notes on his own, and he will take 2 pages during each hour of class. If after 4 hours, he had 9 pages of notes completed, at what rate did he complete the
note pages during those 4 hours?
O 2.25 pages per hour
O 2 pages per hour
O 2.5 pages per hour
0 4 pages per hour
Answer:
2.25
Step-by-step explanation:
if you did 4ph you would get 16 so no. if you did 2ph you would get 8 so no. if you did 2.5ph you would get 8.20 so no but if you did 2.25ph you would get 9 c:
Answer:
A) 2.25 pages per hourStep-by-step explanation:
Let the average rate is x.
We have:
1 + 4*2 = 4xSolve for x:
4x = 9 x = 9/4x = 2.25Correct choice is A
I need help I can’t find the anwer please help
Answer:
You: 3, 6, 9, 12
Friend:4, 8, 12, 16
Step-by-step explanation:
You/Friend ratio is 3/4
Missing numbers:
8 / (4/3) = 612 * (4/3) = 16Numbers:
You 3, 6, 9, 12
Friend 4, 8, 12, 16
Can someone please answer this? No links, stealing the points, or deleting your answer, please! I am sick of those kinda people. Really would appreciate it if someone answered because I need a good grade!
Check the picture below.
How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?
Answer:
To get least possible number of cubes, first find the HCF of 6, 12 and 15
HCF of 6, 12 and 15 = 3
Least possible number of cubes = (6/3)×(12/3)×(15/3)
=2 × 4 ×5
= 40
PLEASE ANSWER FAST BUT CORRECTLY
Answer:
A-quadratic
B [tex]- \infty\leq x\leq \infty[/tex]
C [tex]-1\leq x\leq \infty[/tex]
D -3.7071 and -2.2929
E 17
F (-3, -1)
G(17,0) (-2.2929 -3.7071)
h(17,0) -3.7071,0)
j even
solve pls brainliest
Answer:
33/36
Step-by-step explanation:
33/35
Step-by-step explanation:
Dividing 11/14 by 5/6 is the same as multiplying by 6/5 ( reciprocal)
Question: Assume you have a balance of $1000 on a credit card with an APR of 12%, or 1% per month. You start making monthly payments
of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on
the balance for the previous month. The following table shows how you can calculate your monthly balance. Complete and extend the table to
show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit carddebt?
nts
Fill out the table row by row and continue until the last full payment. Round to the nearest cent as needed.
Month
Payment
Expenses
Interest
New Balance
a
urces
0
---
$1000
es
1
$200
$100
$10
$910
4/7
fing
2
$200
$100
ection
3
$200
$100
4
$200
$100
1. The extension of the table to show the month-end balances until full debt settlement is as follows:
Month Payment Expenses Interest New Balance
0 $0 $0 $0 $1,000
1 $200 $100 $10 $910 ($1,000 - $200 + $100 +$10)
2 $200 $100 $9.10 $819.10 ($910 - $200 + $100 + $9.10)
3 $200 $100 $8.19 $727.29 ($819.10-$200+$100+$8.19)
4 $200 $100 $7.27 $634.56 ($727.29-$200+$100+$7.27)
5 $200 $100 $6.35 $540.91 ($634.56-$200+$100+$6.35)
6 $200 $100 $5.41 $446.32 ($540.91-$200+$100+$5.41)
7 $200 $100 $4.46 $350.78 ($446.32-$200+$100+$4.46)
8 $200 $100 $3.51 $254.29 ($350.78-$200+$100+$3.51)
9 $200 $100 $2.54 $156.83 ($254.29-$200+$100+$2.54)
10 $200 $100 $1.57 $58.40 ($156.83-$200+$100+$1.57)
11 $200 $100 $0.58 ($41.02) ($58.40-$200+$100+$0.58)
Data and Calculations:
Credit card balance = $1,000
APR = 12%
Monthly APR = 1%
Monthly payments = $200
Monthly charge = $100
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