Answer:
John = $44 Mary = $49.50
Step-by-step explanation:
2/3 + 3/4 = 17/12
17/12x = 93.5
17/12x x 12 = 93.5 x 12
17x = 1122
17x/17 = 1122/17
x = 66
2/3x = 66 x 2/3
2/3x = 44
3/4x = 66 x 3/4
3/4x = 49.5
44 + 49.5 = 93.5
John earned $44 while Mary earned $49.5.
Sorry that the explanation was long, but I hope this helps! =D
(6n^2+5)+(-3n^2-2) i need your help
answer:
= 3n^2 + 3
...........
[tex]\huge\mathbb\pink{ANSWER:}[/tex]
[tex]\huge\tt\blue{3n² + 3}[/tex]
[tex] \large\tt\pink{••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex](6n^{2} + 5) + ( - 3^{2} - 2)[/tex]
[tex]6 {n}^{2} + 5 - 3 {n}^{2} - 2[/tex]
[tex](6 {n}^{2} - 3 {n}^{2} ) + (5 - 2)[/tex]
[tex](6 - 3) {n}^{2} + (5 - 2)[/tex]
[tex]3 {n}^{2} + (5 - 2)[/tex]
[tex]\large\tt\blue{3n² + 3}[/tex]
[tex] \large\tt\pink{••••••••••••••••••••••••••••••••••••••••••••••••••••••••}
[/tex]
Multiply 78 by a fraction that is equivalent to 1.
Answer:
78
Step-by-step explanation:
A fraction equivalent to 1 would be 2/2. 78 X 2/2 is 78
Write the expanded form of the expression.
y(0.75 + 7)
+
Answer:
y(0.75+7) = 0.75y + 7y
Step-by-step explanation:
....
Answer:
if you open the bracket by multiplying y with the sum of the numbers you will have 7.75y
Which expression is equivalent to 4^36/ 4^9
a. (4^9)^3
b. 4^4
c. 4^45
d. 1/4^4
Answer:
A.
Step-by-step explanation:
Rule:
When 2 or more exponents divide, they subtract.
Divide using the rule:
[tex] {4}^{36} \div {4}^{9} = {4}^{36 - 9} = {4}^{27} [/tex]
B, C, and D are incorrect.
A is the correct option.
[tex]( {4}^{9} )^{3} = {4}^{9 \times 3} = {4}^{27} [/tex]
Question is below- answers are provided as well
Tommy mixed ‡ gallon of
yellow paint with 1; gallons
of blue to make green paint
for his treehouse. He ran out
of green and needs to make
more. If he uses 2 gallons of
blue paint, to keep the same
ratio, how much yellow paint
should Tommy use?Tommy mixed à gallon of
yellow paint with 1; gallons
of blue to make green paint
for his treehouse. He ran out
of green and needs to make
more. If he uses 2 gallons of
blue paint, to keep the same
ratio, how much yellow paint
should Tommy use?
Answer:
2/3 gallon
Step-by-step explanation:
If y is the amount Tommy should use, and he want to keep the same proportion, then the proportion is ...
y/(2 gal) = (1/2 gal)/(3/2 gal) = yellow/blue
y = (2 gal)(1/3) = 2/3 gal
Tommy should use 2/3 gallon of yellow paint.
find the slope, if it exists, of the line containg the pair of points
(-14, -16) (-18, -17)
Answer:
1/4
Step-by-step explanation:
[tex](\stackrel{x_1}{-14}~,~\stackrel{y_1}{-16})\qquad (\stackrel{x_2}{-18}~,~\stackrel{y_2}{-17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{(-16)}}}{\underset{run} {\underset{x_2}{-18}-\underset{x_1}{(-14)}}}\implies \cfrac{-17+16}{-18+14}\implies \cfrac{-1}{-4}\implies \cfrac{1}{4}[/tex]
What’s the correct answer for this?
Answer:
336cm is 3.36m
Step-by-step explanation:
divide 336 by 100 to get to meters which is 3.36m
Answer:
[tex]\boxed{\frac{336}{1} = \frac{336}{100} = 3.36 }[/tex]
1 meter → 100 centimetres
solve:
100 centimetres → 1 meter
1 centimetres → [tex]\frac{1}{100}[/tex] meter
336 centimetres → [ [tex]\frac{1}{100}[/tex] [tex]* 336[/tex] ] meter
3.36 meter
Please help me. Use mathematical induction to prove the given statement for all positive integers n.
3+5+7+ ... + (2n+1)=n(n+2)
Part: 0/6
Part 1 of 6
Let P.be the statement: 3+5+7+ ... + (2n+1)=n(n+2).
Show that P, is true for n=
When proving by induction, your first step is to show that a given claim is true for some minimal case (often called the base case). The given statement is a claim about the sum of numbers of the form 2n + 1 where n is a positive natural number. The least positive natural number is n = 1, so that seems like a reasonable place to start.
Now, we show the claim holds for n = 1:
3 + 5 + 7 + … + (2n + 1) = n (n + 2)
is a statement about an arbitrary positive integer n; the case of n = 1 reduces to
3 = 1 (1 + 2) = 1 • 3 = 3
which is obviously true.
Next, we assume that the statement is true for some arbitrary positive integer n = k, so that
3 + 5 + 7 + … + (2k + 1) = k (k + 2)
This is called the induction hypothesis.
We then use this assumption to show that the claim is also true for the next positive integer, n = k + 1. This is the claim that
3 + 5 + 7 + … + (2k + 1) + (2 (k + 1) + 1) = (k + 1) (k + 1 + 2)
or
3 + 5 + 7 + … + (2k + 1) + (2k + 3) = (k + 1) (k + 3)
By the induction hypothesis, we have
3 + 5 + 7 + … + (2k + 1) + (2k + 3)
= k (k + 2) + (2k + 3)
= k² + 2k + 2k + 3
= k² + 4k + 3
= (k + 1) (k + 3)
and this is exactly what we wanted to show, that if P(k) is true, then P(k + 1) is also true.
This means we have
P(1) = true ⇒ P(2) = true ⇒ P(3) = true ⇒ …
and so on, and the claim is true for all positive integers n.
Which of the following describes exponential decay?
A.) The amount at a given time can be calculated by subtracting an amount from the previous amount.
B.) The amount at a given time can be calculated by adding an amount to the previous amount.
C.) The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.
D.) The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1.
Answer:
C. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.
Step-by-step explanation:
Exponential decay is when an exponential function decreases per x-value. These functions go by a multiplier and are therefore, not linear, so you cannot add or subtract. Because the function is decaying, it is multiplying by an amount less than 1, since the multiplier is 1 - r, where r is the percent.
the three gibbons brothers are 3 years apart. the total of their ages equals 33 years. what is the age of the oldest brother?
Answer:
18
Step-by-step explanation:
33 - 3 = 30
30 ÷ 2 = 15
15 + 3 = 18
Mr. Wright has 25 students in his class. More than half of the students
are boys. Which ratio could represent the ratio of girls to boys in Mr.Wright's class?
Answer:
x : x<y
Step-by-step explanation:
x = girls
y = boys
Hope it helps
Simplify:
{(-8)^-4 ÷ 2^-8}^2
Answer:
ok so first we have to do whats in the brackets then we have to do to exponits so first
(-0.00024414062divided by 0.00390625)^2
-0.06249999872^2
-0.00390624984
Hope This Helps!!!
Which of the following is equivalent to -4^-2?
Answer:
(-1)/16
Step-by-step explanation:
-4^-2 = -1/((4)(4)) = True
(-1)/4^2
Evaluate 4^(-2).
4^(-2) = 1/16:
Answer: -1/16
Simplify the following:
(-1)/(4×4)
Hint: | Multiply 4 and 4 together.
4×4 = 16:
Answer: (-1)/16
anyone know the answer?
Answer:
no
Step-by-step explanation:
Trey family went on a hike that was about 8 blank. Millimeters, centimeter, meters or kilometer
help me please, will give brainliest
[tex]A\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right][/tex]
[tex]B\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right][/tex]
[tex]Now,\\\\2B-A\\\\2\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right]-\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}6&-10&6\\4&6&2\\8&2&-6\end{array}\right] -\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}5&-10&1\\4&11&-5\\8&-1&-2\end{array}\right][/tex]
Row 1 column 2(a12)=-10
Hence,-10 is your answer.
Hello everyone, I'm just having trouble on two questions for my Calculus work. Does anyone know where to start with this problem? Any help would be greatly appreciated!
Answer:
2) [tex](4 - 9x) {}^{ \frac{7}{2} } (4 - 9x) {}^{ \frac{7}{2} } [/tex]
3) in image 2
For a scavenger hunt, Jim's mom distributed a bag of 858 jelly beans evenly into 26 plastic containers and hid them around the yard. If, after the hunt, Jim has a total of 330 jelly beans, then how many of the plastic containers did he find?
Answer:
the answer is 19.0384615385
Answer:
33
Step-by-step explanation:
divide 858 by 26
P.S. sorry I am really tired that is why it not as good of an explanation
y-intercept = 4, goes through the point (2,3)
Write in slope intercept form
Help me to solve all of this questions
......
Answer:
Q 6.
[tex]2x - x + 4(x - (x + 7) - 2) \\ x + 4(x - x - 7 - 2) \\ x + 4( - 9) \\ = x - 36[/tex]
____o___o___
Q 7.
o 1)
[tex] \frac{ {x}^{2} - 4 }{5 - x} \times \frac{ {x}^{2} - 8x + 15}{ {x}^{2} - 5x + 6 } \\ \\ \\ \frac{(x + 2)(x - 2)}{5 - x} \times \frac{(x - 5)(x - 3)}{(x - 3)(x - 2)} \\ \\ \\ \frac{(x + 2)}{5 - x} \times \frac{(x - 5)}{1} \\ \\ \\ \frac{(x + 2)}{ - ( - 5 + x)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - (x - 5)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - 1} \\ \\ = - (x + 2) \\ \\ = - x - 2[/tex]
___o___o___
o 2)
[tex] \frac{ {x}^{2} - 2x - 8 }{ {x}^{3} + 3 {x}^{2} } \div \frac{x - 4}{ {x}^{2} - 9} \\ \\ \\ \frac{ {x}^{2} - 2x - 8}{ {x}^{3} + 3 {x}^{2} } \times \frac{ {x}^{2} - 9 }{x - 4} \\ \\ \\ \frac{(x - 4)(x + 2)}{ {x}^{2}(x + 3) } \times \frac{(x + 3)(x - 3)}{x - 4} \\ \\ \\ \frac{x + 2}{ {x}^{2} } \times \frac{x - 3}{1} \\ \\ \\ = \frac{(x + 2)(x - 3)}{ {x}^{2} } \\ \\ \\ = \frac{ {x}^{2} - x - 6 }{ {x}^{2} } [/tex]
__o___o__
Q 8.
a.
[tex]10 {x}^{2} + 7x - 12 \\ = (5x - 4)(2x + 3)[/tex]
Estimate the sum of 604 and 392
Answer:
1000
Step-by-step explanation:
604 is close to 600.
392 is close to 400.
600 + 400 = 1000
Answer: 1000
Answer:
1,000
Step-by-step explanation:
Estimate means to round and sum means addition
604 rounds to 600
392 rounds to 400
600 + 400 = 1,000
I hope this helps! have a wonderful rest of ur day :)
Please,please, help, please
Answer:
55
Step-by-step explanation:
This looks like it was written in Spanish. I can only answer you in English.
The 2 "c"s tell you PM = MR, so QM is an angle bisector.
PQR is a right angle and = 90 degrees.
x is 1/2 PQR so x is 45 degrees
x + 10 = 45 + 10 = 55
Use intercepts to graph the linear equation -12x+3y=24
Answer:
Step-by-step explanation:
Hi there I don't usually ask questions but I'm having a bit of trouble solving for X on this equation. 1+(3x-3)=1 You don't necessarily have to give me the answer, a break down would be just fine :)
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]1+(3x-3)=1[/tex]
First, you have to take the one that is outside of the Parenthesis and take it to the other side. That would mean it would be this:
[tex]3x-3=1-1[/tex]
1 - 1 is 0
[tex]3x-3=0\\[/tex]
Move the -3 to the other side, which makes it positive;
[tex]3x=3[/tex]
Divide both sides by 3
[tex]x=1[/tex]
If you want to check it, you can replace 1 in the original equation:
[tex]1+(3X1-3)=1[/tex]
[tex]1+(0)=1[/tex]
[tex]1=1[/tex]
So x=1
How do I turn (7, -1) and (21, -5) into slope intercept form
according to its warning lable a rowboat can safely hold 310lb
Nick weighs 148 lb Elaine weighs 120 lb and Dario weighs 167 lb
Who can go on the boat safely
Answer:
Nick and Elaine can go on the boat safely
Elaine and Dario can go on the boat safely
Nick and Dario can NOT go on the boat safely
Step-by-step explanation:
Nick's weight + Elaine's weight = 268, 288<310
Elaine's weight + Dario's weight = 287, 287<310
Nick's weight + Dario's weight = 315, 315>310
Answer:
Nick And Elaine Can Go On The Boat Safely
Elaine And Dario Can Go On The Boat Safely
Nick And Dario can Not Go On The Boat Safely
Nick's weight + Elaine's Weight = 268
Elaine's Weight + Dario's Weight = 287
Nick's Weight + Dario's Weight = 315
◊ YusuCr ◊
m with the power of -2 times n with a power of 3
Answer:
n^3/m^2
Step-by-step explanation:
I simplified the expression and I got ( n^3/m^2)
m^(-2) * n^(3) = n^3/m^2
Noelle is 4 feet tall and her brother Oliver us 42 in. How many inches taller is Noelle than Oliver?
Answer:
6 inches
Step-by-step explanation:
There are 12 inches in 1 foot so
12 inches X 4 feet = 48 inches
Then we subtract the 48 in minutes the 42 in to find the difference between Noelle and Oliver's height
48-42=6
HELP ME OUT PLEASE!!!
Which transformation below caused AB to transform into A'B'? Use graph paper to sketch the transformation if needed.
A) a reflection across the x-axis
B) a counter-clockwise 90 degree rotation about the origin
C) a reflection across the y-axis
D) a translation 3 units down and 7 units left
The transformation below that caused AB to transform into A'B' is a reflection across the y-axis
How to translate a coordinate point to anotherGiven the following coordinates
A = (6, 2)
B = (2, 6)
A' = (-6, 2)
B' = (-2, 6)
According to the reflection rule, the reflection over y axis is given as:
[tex](x,y)\rightarrow (-x,y)[/tex]
Note that the x-coordinate was negated as seen from the translation A to A' and B to '.
Hence the transformation below that caused AB to transform into A'B' is a reflection across the y-axis
Learn more on transformation here: https://brainly.com/question/1462871