Answer:
peter = $54
jane = $36
Step-by-step explanation:
let peter = x
let jane = y
peter + jane = $90
x+y = 90 --------- (1)
peter gave jane $16 = x-16
jane gets extra $16 from peter = y+16
peter would have $14 less than jane
jane - peter = $14
(y+16)-(x-16) = 14
y+16-x+16 = 14
y-x+32 = 14
y-x = 14-32
y-x = -18 ---------- (2)
x+y = 90 --------- (1)
y-x = -18 --------- (2)
from (1)
x+y = 90
y = 90-x --------- (3)
substitute (3) into (2)
y-x = -18
90-x-x = -18
90-2x = -18
-2x = -18-90
-2x = -108
x = 54
substitute x = 54 into (3)
y = 90-x
y = 90-54
y = 36
x = peter = $54
y = jane = $36
A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?
Answer:
1
Step-by-step explanation:
Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one
Drag the phrases into the box to match each expression. 4x – 5 4 (x – 5) 4 ( x + 5) 5 less than the sum of 4 and a number 5 less than the product of 4 and a number the product of 4 and the difference of a number and 5 4 more than the sum of a number and 5 5 more than the product of 4 and a number the product of 4 and the sum of a number and 5 4 more than 5 less than a number
Answer:
4x – 5
4 (x – 5)
4 ( x + 5)
5 less than the sum of 4 and a number
5 less than the product of 4 and a number
the product of 4 and the difference of a number and 5
4 more than the sum of a number and 5
5 more than the product of 4 and a number
the product of 4 and the sum of a number and 5
4 more than 5 less than a number
what is the quotient of 5 and 5 and 2 more
Answer:
12
Step-by-step explanation:
i am not sure a just add 5 +5+2
Plz help with these 2 questions and thx !
Answer:
The first is 18.
The second is less than (<).
Step-by-step explanation:
Hope this helps <3
Answer:
1. 18
2. C
Step-by-step explanation:
1. 7/42=1/6 3•6=18
2. 3/7 is greater than 3/8
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?
h(x) = -0.19x2
In what ways is the graph of h(x) different from the graph of the parent function? Select all that apply.
A. The graph of h(x) opens upward.
B. The graph of h(x) opens downward.
C.The graph of h(x) is narrower.
D. The graph of h(x) is wider.
9514 1404 393
Answer:
B. The graph of h(x) opens downward.
D. The graph of h(x) is wider.
Step-by-step explanation:
The negative leading coefficient causes the graph to be reflected across the x-axis, making it open downward.
The leading coefficient magnitude less than 1 compresses the graph vertically, giving it a wider appearance.
Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction
If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.
Answer: The z-score = 2.46
Step-by-step explanation:
Given: sample size : n= 10
Population mean : [tex]\mu= 29056[/tex]
population standard deviation : [tex]\sigma= 3339[/tex]
Sample mean : [tex]\overline{x} = 31650[/tex]
Formula to calculate z :
[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
Substitute all values, we get
[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]
Hence, the z-score = 2.46
22.758 to the nearest foot
Mike reads 10 pages of a novel on night 1.
Each night after that, he reads three pages
more than the night before. At this rate,
Mike thinks he can finish reading his 219
page novel in 10 days. His brother says it
will take 22 days. Who is right? Explain.
Answer:
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
Step-by-step explanation:
Total number of pages of the novel = 219.
1st night, he reads 10 pages.
2nd night, he reads 13 pages.
3rd night, he reads 16 pages.
4th night he reads 19 pages.
5th night, he reads 22 pages.
6th night, he reads 25 pages.
7th night, he reads 28 pages.
8th night, he reads 31 pages.
9th night, he reads 34 pages.
10th night, he reads 37 pages.
Total number of pages read after 10 nights = 235
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
Brian is n years old. How old will he be in 47 years?
Algebraic expression
Answer:
n + 47
Step-by-step explanation:
Let n = Brian's age now.
In 47 years, he'll be 47 years older than he is now.
In 47 years, Brian will by n + 47 years old.
Answer: n + 47
The age of Brian after 47 years will be n + 47.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Brian is n years old.
Then the age of Brian after 47 years will be given as,
⇒ n + 47
The age of Brian after 47 years will be n + 47.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Jennifer needs 3 cups of sugar, 4 cups of flour, and one cup of brown sugar for a recipe she is making.
What is the ratio of brown sugar to sugar?
Answer:
the ratio is 1:3 for brown sugar to sugar
2 + -30 - (-5) + 60 + (-75)
Answer:
-38
Step-by-step explanation:
distribute, mutiply and add
What is the equation for the line in slope-intercept form?
Enter your answer in the box. _____
4
Step-by-step explanation:
so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.
What is the 97th term of the arithmetic sequence -16,2,20
Answer:
1712
Step-by-step explanation:
Given arithmetic sequence is: -16,2,20
Here, a = - 16, d = 2 - (-16) = 2+ 16 = 18
n = 97, [tex] a_{97}=?[/tex]
[tex]\because a_n = a + (n-1)d\\\\
\therefore a_{97}= - 16 + (97-1)\times 18\\\\
\therefore a_{97}= - 16 + 96\times 18\\\\
\therefore a_{97}= - 16 + 1728\\\\
\therefore a_{97}=1,712\\\\[/tex]
Answer:
1712
Step-by-step explanation:
Formula of the sequence:
[tex]a_{n}=18n-34\\a_{97}=18(97)-34\\a_{97}=1712[/tex]
So 1712 is the 97th term
Isabel wants to start saving more money so that she can purchase new clothes for college. She has $200 and will add $5 to her savings every day.
Which equation models Isabel's savings, where n represents each day?
Answer:
y = 5n + 200
Step-by-step explanation:
y = mx + b
$5 will be added every day, so 5 is the m and n is the x.
$200 is an extra cost that doesn't repeat, so it's the b.
what digit is in hundreds place 25437
Answer:
4
Step-by-step explanation:
25,437 --> twenty-five thousand, four hundred and thirty seven
Is this true or false? 0 < -2 Answer fast pls
Answer:
False
Explanation:
It's actually 0 > -2
what is the answer to r - 4.5 < 11
John picked 340 oranges. If he had 17 buckets to carry the oranges in, how many oranges would be in each bucket?
Answer: There would be 20 oranges in each bucket
Step-by-step explanation:
Answer:
20 oranges
Step-by-step explanation:
if john has to distribute the 340 oranges he picked amongst 17 buckets, the equation that represents his situation would be 340/17. just divide and you'll get 20, meaning there's 20 oranges in each bucket.
Factor the polynomial expression 16y4 − 256x12.
Step-by-step explanation:
Using Difference of Squares,
16y⁴ - 256x¹²
= 16(y⁴ - 16x¹²)
= 16(y² + 4x⁶)(y² - 4x⁶)
= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).
Step-by-step explanation:
16y4-256×12=16.(y4-16×12)Please answer this question
A) the initial population is 30, which is given in the equation.
B) replace t with the number of years and solve:
5 years = 60
10 years = 120
15 years = 241
C) the population is doubling every 5 years
Find the product: Negative StartFraction 4 over 9 EndFraction and Negative StartFraction 3 over 8 EndFraction
Negative StartFraction 1 over 9 EndFraction
Negative one-sixth
StartFraction 7 over 17 EndFraction
Answer:
c 1/6
Step-by-step explanation:
been there done that
Answer:
c
Step-by-step explanation:
i just did the test and got it right, hope this helps ^^
Hewo plz help can u answer
PUT A REAL ANSWER!!!!!!!!!!
5 pts.
175+8w≥425
Answer:
w≥31.25
Step-by-step explanation:
175+8w≥425
-175 -175
8w≥250
/8 /8
w≥31.25
Answer:
X is greater than or equal to 125/4
Step-by-step explanation:
Subtract 175 from both sides which will turn 425 into 250
Divide 8 from 8x to the other side to turn 250 into 125/4
In the end, you get X is greater or equal to 125/4
On a recent trip, Miles drove 58 miles the first hour,64 miles the second hour.and 62 miles the final hour. Estimate the average number of miles he drove each hour
Answer:
60
Step-by-step explanation:
all of those rounded to the nearest ten is 60
I need help it’s due in 20 min:(
Answer:
A) DF= 11
B) JH= 13.6
C) GJ= 23.6
D) m∠F= 105
E) m∠G= 34
F) m∠J= 41
Step-by-step explanation:
The mass of a textbook is 1.25 kg about how many pounds is this
Answer:
2.755778
Step-by-step explanation:
Just search how much pounds is 1.25 kg?
A ferris wheel
completes one
rotation in 495
seconds. How many
seconds will it take
to make 25
rotations?
Answer:
12375
Step-by-step explanation:
one rotation: 495
25 rotations x 495 seconds
12375 seconds
Answer:
12, 375
Step-by-step explanation:
Multiply
The freshman basketball coach’s office has a doorway that is 77 inches high. The coach will only recruit those student athletes who have to duck to enter the office. Of all the freshmen who wish to play basketball, the mean height is 75 inches with a standard deviation of 2.82 inches. Meanwhile, the football coach will only recruit student athletes to play linebacker (a defensive position) who weigh 210 pounds or more. Of all the freshmen who wish to play linebacker, the mean weight is 190 inches with a standard deviation of 12.32 pounds. Who do you think will have a harder time recruiting players?
It takes Andrew 4 min to swim 5 laps how many laps per min
Answer:
0.8 laps per min
Step-by-step explanation:
4 min / 5 laps
4/5 = 0.8
HELP I'm running out of time
Answer:
VT, TU, UV.
Step-by-step explanation:
The smallest angle is always across from the shortest side. And the longest angle is always across from longest side.
Which set of ordered pairs does not represent a function? O {(-3,-9), (7,9), (9, 1), (7,3)} O {(-3,8),(-6,5), (-5, -6), (1,-6)} O {(3,1),(-2,-9), (6,-9),(4,6)} o {(4,3), (-4,4),(-2,-5), (6,4)}
Answer:
The first set of ordered pairs is not a function.
Step-by-step explanation:
The X value of 7 repeats, which means that it is not a function