Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
Step-by-step explanation:
= 25 a²- ( 4b²- 28bc +49c²)
=. 25a²- {( 2b)²- 2(2b)(7c)+ (7)²}
= 25a²- { (2b - 7c)²}
= (5a)²- (2b -7c)²
= { 5a -(2b-7c)} { 5a+ ( 2b-7c)}
= ( 5a - 2b +7c) ( 5a +2b - 7c)
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Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks.
He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
How much time did Rodrigo spend practicing during the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.
15 1/3, 5 1/4, 5 2/3, x, =, and +.
The equation that represents the problem is
a. 15 1/3 = x - 5 1/4 - 5 2/3
b. x = 15 1/3 + 5 1/4 + 5 2/3
c. x + 15 1/3 = 5 1/4 + 5 2/3
d. 15 1/3 = 5 1/4 + 5 2/3 + x
Answer: d. 15 1/3 = 5 1/4 + 5 2/3 + x
Step-by-step explanation:
15 1/3 (total) = 5 1/4 (first week) +5 2/3 (second week) +x (third week)
When you add the amount of time Rodrigo practiced each week, you get the total amount of time he practiced
Photos fast charges a fee of $2.50 plus $0.05 for each picture developed. Photos quick charges a fee of $3.70 plus $0.03 for each picture developed. for how many will the total cost be the same at each shop?
The total cost will cost be the same at each shop for 60 pictures.
What is word problem?Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.
Let for x number of picture, the total cost will cost be the same at each shop.
Total cost of x number of picture on Photos fast shop = $ (2.50 + 0.05x)
Total cost of x number of picture on Photos quick shop = $ (3.70 + 0.03x)
according to the question:
(2.50 + 0.05x) = (3.70 + 0.03x)
0.05x - 0.03x = 3.70 - 2.50
0.02x = 1.20
x = 1.20 ÷ 0.02
x = 60
Hence, for 60 number of picture, the total cost will cost be the same at each shop.
Learn more about word problem here:
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umm pls help me ik how to do it but not sure on this specific one
9514 1404 393
Answer:
-8, +9
Step-by-step explanation:
You need factors of (6)(-12) = -72 that have a sum of +1.
From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.
6x^2 +x -12
= 6x^2 +9x -8x -12
= 3x(2x +3) -4(2x +3)
= (3x -4)(2x +3)
How do the 6s in 0.96 and 93.601 compare?
The value of the 6 in 0.96 is 100 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601.
The value of the 6 in 0.96 is 1100 the value of the 6 in 93.601.
Answer:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.9 compared to the 6 in 93.601 which is in the tenths place.
Step-by-step explanation:The value of the 6 in 0.96 is 1/10 the value of the 6 in 93.601. This is because the 6 in 0.96 is in the hundredths place, compared to the 6 in 93.601 which is in the tenths place.
Answer:
The value of the 6 in 0.96 is 110 the value of the 6 in 93.601
Step-by-step explanation:
solve for x in : 5^{2x-1} =12^{x}
Answer:
x=2.192785
Step-by-step explanation:
52x−1=12x
log(52x−1)=log(12x)
(2x−1)*(log(5))=x*(log(12))
2x−1=(
log(12)
log(5)
)*(x)
2x−1=1.543959*x
2x−1=1.543959x
2x−1−1.543959x=1.543959x−1.543959x 1.543959x
0.456041x−1=0
0.456041x−1+1=0+1
0.456041x=1
0.456041x
0.456041
=
1
0.456041
0.456041)
x=2.192785
Answer:
x = 2.19
Step-by-step explanation:
Given that,
An equation, [tex]5^{2x-1} =12^{x}[/tex]
To find,
The value of x.
Solution,
We have,
[tex]5^{2x-1} =12^{x}[/tex]
Taking log both sides,
[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]
We know that,
[tex]\text{log}\ a^n=n\ \text{log}a[/tex]
So,
[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]
So,
[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]
So, the value of x is equal to [tex]2.19[/tex].
Reference,
https://brainly.com/question/14968632
Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2
Answer:
C) -7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6
simplify -14/6 to -7/3
A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.
A.What’s the difference in height between the pelican and the heron?
B.What’s the distance in height between the pelican.
C.what’s the difference in height between the pelican and the trout.
D.What’s the distance in height between the pelican and the trout.
Answer:
Step-by-step explanation:
Your answer
A = 73
B= 33
C = 40
D = 40
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what is bigger 6/5 or 4/5?
Answer:
6/5 is bigger
Step-by-step explanation:
6/5 simplifies to 1 and 1/5 which is greater than just 4/5
Answer:
6/5, the numerator is the number that determins the amount that is an improper fraction actually, the proper way of writing it is 1 and 1/5 but both are acceptable. most teachers prefer it this was though.
Step-by-step explanation:
hope this helps
How many solutions does -7+5x=5x+9
Answer:
There are no solutions. This question is impossible.
Step-by-step explanation:
subtract (2y + 3x-x²) from (5x²-y2-2x)
Answer:
6x² - 5x - y² - 2y
Step-by-step explanation:
We have
5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1
= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms
= 6x² - 5x - y² - 2y
Mrs. Norton wants to buy health insurance for her family, Plan A costs $620.50 per month. Plan B costs $597.20 per month. How much will she save in 12 months by choosing Plan B instead of
Plan A?
A $7,446.00
B $7,166.40
C $320.60
D $279.60
Answer:
Step-by-step explanation:
620.50 * 12 = 7,446
597.20 * 12 = 7,116.4
7446 - 7116.4 = 329.6
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
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Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. Write an equation to determine the cost of each bag of dog food
STEP IT OUT:
Answer:
7
Step-by-step explanation:
Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?
example:
ositive numbers
numbers greater than zero
Negative Numbers
numbers less than zero
Integers
whole numbers and their opposites
Absolute Value
The distance a number is from zero on a number line. ALWAYS POSITIVE
equation
A mathematical sentence that contains an equals sign.
more examples:
9- (-9)=
18
121 / -11
-11
2(n + 5) = −2
-6
9
−9x + 1 = −80
253 + 234=
487
−15 = −4m + 5
5
8n + 7 = 31
3
Hope this helps bsf
Triangle WXY is similar to triangle RST.
AA.
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
Reflect across line PQ, then dilate with a scale factor greater than 1.
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
Rotate 90 degrees counterclockwise about point P, then dilate with a scale factor greater than 1.
Rotate 180 degrees clockwise about point P, then dilate with a scale factor greater than 0 and less than 1.
Answer:
Reflect across the line PQ, then dilate with a scale factor greater than zero in less than one
Step-by-step explanation:
Answer:
Reflect across line PQ, then dilate with a scale factor greater than 0 and less than 1.
B
Step-by-step explanation:
There are 6 balls. Half of the balls are blue. One ball is red. The rest are green. Write the fraction for the green balls.
Answer:
1/3 (Minimized) 2/6
Step-by-step explanation:
Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD
Answer:
27633883532
2732937293739
839364923274693
93730347395393649364
027402649249364
026393473849337
92739262926382
193
19632963286392
92539253925292
9279253285292
2283792
88248935392
926263925392
7363854276393
233
if 20(mod 9) is equivalent to y(mod 6) find y
Answer:
First, reduce 20(mod 9) to its simplest form in mod 9; 9 x 2 + 2 = 2(mod 9)
If 2(mod 9) y(mod 6), then y = 2 by comparism
Hope it helped!!!
question: find the value of t
Answer:
t = 5
Step-by-step explanation:
since those 2 angles make up 180 degrees turn it into an equation
20t + 5 + 15t = 180
combine like terms 20t + 15t = 35t
the equation is now 35t + 5 = 180
subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175
35t = 175
now divide each side by 35, 35t/35 = t, 175/35= 5
t = 5
hope this helps :)
Answer:
5
Step-by-step explanation:
Line (which has the the equation)= 180
So,
15t + 20t + 5 = 180
35t + 5 = 180
35t = 180 - 5
35t = 175
t = 175/35
t = 5
a=10t+0 find the y intercept
Answer:
0
Step-by-step explanation:
The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!
Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does she need to rent 8 movies?
Answer:
$19
Step-by-step explanation:
Given data
Cost of movie
f(x)=3x+10
Hence the cost of 8 movies is
f(x)=3(8)+10
f(x)=24+10
f(x)=$34
Hence the cost of 8 movies is $34, Kim needs extra
=34-15
=$19
Can someone tell me what this is really quick
Answer:
There were no more than 15 fruit snacks in the bag
Step-by-step explanation:
I hope this helps!
2/5 of 146 as a decimals