peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have
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
PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify Expressions:
[tex]\sqrt{(3-\sqrt{19} )^{2} }[/tex]
Answer:
1.358899 or 3-\sqrt{19}
Step-by-step explanation:
either or
Hayley and Tyra had lunch at
Ruby Tuesday. Their bill was
$22.40. If they leave a 15%
tip, how much is the tip?
The price of admission to the Everglades Historical Museum is $11 more for non-members than for members of the museum’s Friends of the Museum program.
If a group of 3 members and 4 non-members pays a total of $79 to visit the Museum, what is the cost, in dollars, of the ticket for one non-member?
Select one:
A. $9.00
B. $11.00
C. $15.00
D. $16.00
Answer:
d. $16.
Step-by-step explanation:
3 members (m) + 4 nonmembers (n) = $79
nonmembers = $11 more or n=m+11 so...
3m + 4(m+11)=79 [replace "n" with "m+11"]
3m + 4m + 44=79
7m + 44 = 79
7m=35 and reduced m=5 so members pay $5 and nonmembers pay 5+11=$16
The local amusement park is a popular field trip destination. This year the senior class at HighSchool A and the senior class at High School B both planned trips there. The senior class at HighSchool A rented and filled 6 vans and 7 buses with 292 students. High School B rented and filled2 vans and 14 buses with 494 students. Each van and each bus carried the same number of students. How many students can fit in a bus?
Answer:
How many students can fit in a bus? 34
Answer:
You can fit 34 students on a bus
Step-by-step explanation:
Hope this helps...
What is the sum of 2x-5y+x+y
Answer:
3x - 4y
Step-by-step explanation:
2x + -5y + x + y
Group Like terms:
2x + x + -5y + y
2x + x = 3x
-5y + y = -4y
3x - 4y
Which subtraction problem does NOT require zero pairs to solve using chips ? ( PLEASE ANSWER ASAP )
Answer:
c.
Step-by-step explanation:
Answer:It is not C
Step-by-step explanation:
Solve:
7 (x -3)
What is the answer
Answer:
7x-21
Step-by-step explanation:
Please Explain and show answer
Looking at the graph. When x = 1, y = 15.
Meaning that each hours, the gallon of water will be filled in 15 gallons.
So in 10 hours, that'd be
10 × 15 = 150 gallons of water.
Therefore, the answer is 150 gallons of water.
which transformation is shown here?
The band director of Eagle Rock High School asks her students to have a carwash as a fundraiser. They are going to charge $7.50 per car. The graph that represents the situation is shown below. Which of the following statements about the graph are true? Select all that apply. o The graph represents a function since every input value corresponds to exactly one output value. o The graph has an x-intercept. o The graph has a y-intercept. o The y-intercept represents the amount of money raised by the carwash. o The amount of money in the band fundraiser account represents the input values. o The number of cars washed relates to the amount of money in the band fundraiser account.
Answer:
The y-intercept represents the amount of money raised by the carwash.
The graph has a y-intercept
Step-by-step explanation:
Most reasonable, and not only that it's true bc it's shown on the graph label. :)
Evaluate the following expression, when d=2 and z=6
6z + 3(-7d-5)
Answer:
-21
Step-by-step explanation:
6(6) + 3(-7(2) -5 )
36 + 3( -14 -5)
36 + 3( -19)
= -21
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°
Answer:
m∠XBC = 135
Step-by-step explanation:
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
From the simplified expression, we need to find the value of p first
From the last line we can see that;
2p =94
Divide both sides by 2:
2p/2 =94/2
p = 47
From the expression, m∠XBC =3p-6
m∠XBC = 3(47)-6
m∠XBC = 141 -6
m∠XBC = 135
Hence the measure of m∠XBC is 135
Answer:
135 the person above e is correct
Step-by-step explanation:
How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy
Answer:
2.25
Step-by-step explanation:
1.5 / 0.666 (repeating) = 2.25
Answer:
There are 2 one-quarter cup servings in 1 half cup
In 5.25 cups there are 21 one-quarter cup servings
Step-by-step explanation:
So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.
21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups
Write an equation in slope intercept form for the line that passes through the points (6,-3)and (0,2)
Answer:
y = [tex]\frac{5}{-6}[/tex]x + 2
Step-by-step explanation:
Given coordinates: (6,-3) (0,2)
y = mx + b
y = mx + 2
[tex]\frac{2+3}{0-6}[/tex] = [tex]\frac{5}{-6}[/tex]
y = [tex]\frac{5}{-6}[/tex]x + 2
Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
A. (2,4)
B. (5,3)
C. (4,14)
D. (4,2)
correct answer is d x=4 y=2
Answer:
d (4,2)
Step-by-step explanation:
i. what is sec (17pi/3)
Answer:
1.05
Step-by-step explanation:
example sec x=1/cos x
sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05
Hope it helps
Find the distance represented by x
the distance of X is 180ft
5.6 x 10 __= 5,600
hurry
Answer:
its 10^3 power or 1000
Step-by-step explanation:
Need help with question 4
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
_____
Comment on the question
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
Franklin made $165,000 for the tax year
2017. How much did he pay in FICA taxes ?
Answer: $10,278.90
Step-by-step explanation:
FICA taxes comprise of both the Social Security tax and the Medicare tax rate which in 2017 were 6.2% and 1.45% of income respectively.
The Social security portion is subject to a limit of $127,200 in income but there is no limit for the Medicare tax.
Franklin FICA = (127,200 * 6.2%) + (165,000 * 1.45%)
= 7,886.40 + 2,392.50
= $10,278.90
Ms manning arranges the desks in her classrooms in rows and columns. There are 4 rows. There are 6 desks in each row. How many desks are there in Manning classroom?
24 desks
Step-by-step explanation:
There are 24 desks because 4 rows multiplied by 6 desks in each row = 24 desks.
Putting money into more than one kind of investment at a time is called
Putting money into more than one kind of investment at a time is called Diversification.
What is Diversification?This a technique which helps to reduce risk through investing in different sectors and opportunities.
It also involves putting money in more than one type of investment which makes Diversification the most appropriate choice.
Read more about Diversification here https://brainly.com/question/18647091
#SPJ2
I WILL GIVE BRAINLIST!!
Showthat (2x+i)(2x−i) = 4x2 +1
(2x + I) (2x-I) = 4x^2 + 1
Using the complex arithmetic rule:
(A + bi)(a-bi) = a^2 + b^2
A would be the 2x and b would be the i
So you would have:
(2x)^2 + (i)^2
(2x)^2 = 2x times 2x = 4x^2
i ^2 = 1
Final answer is 4x^2 + 1
what is the answer to 5/6 times 4/3 =
Answer:
[tex]\frac{10}{9}[/tex]
Step-by-step explanation:
Answer: 10/9 or 1.111111111
Step-by-step explanation:
Greg walks at a speed of 3 miles per hour. What is his speed in feet per second?
Answer: 1/20 miles per second
Step-by-step explanation:
I feel like this is the right answer but I don’t know how to explain it..
Answer:
4.4 feet
Step-by-step explanation:
What is the value of the expression below when x=5?
Answer:
790
Step-by-step explanation:
You put 5 instead of x and you calculat
6*5^3 +8*5= 750+40=790
Which equation represents the line that is parallel to y=3 and passes through (-2,-8)?
А.x=-2
B. x=3
C. y=-8
D. y= 3x - 2
Step-by-step explanation:
y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.
Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)
if 7/12 is multiplied by a fraction less than 1 what would be the product
Answer:
Examples below
Step-by-step explanation:
We have the fraction
[tex]\frac{7}{12}[/tex]
It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:
[tex]\frac{1}{7}[/tex]
[tex]\frac{4}{5}[/tex]
[tex]\frac{6}{35}[/tex]
The required products are:
[tex]\frac{7}{12}\cdot \frac{1}{7}=\frac{7}{7*12}=\frac{1}{12}[/tex]
[tex]\frac{7}{12}\cdot \frac{4}{5}=\frac{4*7}{12*5}=\frac{7}{15}[/tex]
[tex]\frac{7}{12}\cdot \frac{6}{35}=\frac{6*7}{12*35}=\frac{1}{10}[/tex]
Help me on this questionnnn
Answer: 2,3,5
Step-by-step explanation: