Answer:
She spent $22 on food, and $48 on clothes.
Step-by-step explanation:
Let's define the variables:
C = amount of money that Deborah spent on clothes
F = amount of money that Deborah spent on food.
We know that she spent in total $70, then we have the equation:
F + C = $70
And we know that she spent $26 more on clothes than on food, then we have the equation:
C = F + $26
This means that we have a system of equations:
F + C = $70
C = F + $26
To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.
Now we can replace it in the first equation.
F + (F + $26) = $70
Now we can solve this for F.
2*F + $26 = $70
2*F = $70 - $26 = $44
F = $44/2 = $22
So she spent $22 on food.
Now we can use the equation:
C = F + $26
To find how much she spent on clothes, where we need to replace F by the value we found.
C = $22 + $26 = $48
She spent $48 on clothes.
Calculate the quotient.
A. 3/4 divided by 5 1/5 is?
B. 3/7 divided by 2 1/2 is?
C. 5/8 divided by 6 5/6 is?
D. 8 3/10 divided by 5/8 is?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
a.) at 7.74% compounded daily
[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]
I assumed there are 365 days in a year.
b.) at 7.8% compounded quarterly
[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]
If c=10\pic=10π, what does 10 represent?
Answer:
10 is the dimeter of the circleStep-by-step explanation:
The question seems is:If C = 10π, what does 10 represent?The circumference of a circle formula is:
C = 2πr or C = πd10 in the given equation represents the diameter of the circle, d = 10
WILL GIVE BRAINILEST
The price of ground beef varies directly with the weight of the ground beef purchased. Two pounds of ground beef cost $10.
What is the cost of 3 pounds of ground beef?
y=xe^x how do you find the domain of the following function
9514 1404 393
Answer:
all real numbers
Step-by-step explanation:
Basically, you look for any values of x for which the function is not defined. There are none. So, the domain is "all real numbers."
__
The function is the product of a polynomial (x) and an exponential function (e^x). Each of those kinds of functions has a domain of "all real numbers". Multiplication is also defined for all real numbers, so there is nothing about this product that would restrict the domain.
Based on the lesson, identify the first operation needed to solve the following equation.
- 3 = 11
multiplication
addition
subtraction
division
Answer:
Im going with B hope this helps
Step-by-step explanation:
10 points and king crown extra 5+ points and pplease go to pic and answer it
Answer:
the answer is 30x+33
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Answer:
v = 1
Step-by-step explanation:
volume of a cube = side cubed
1 cubed = 1
Answer:
answer is 1 cubic unit
hope this helps
Can whoever answers this answer one of the questions on my account I have like 20 minutes to answer them.
Answer:
What-
Step-by-step explanation:
Answer: What?
Step-by-step explanation:
Urgent please help..
Answer:
Dilation means a facor of So b=(-1,1) × 2= b'=(-2,2) I do exams and quizzes if your interestedAnswer:
(-2,2)
Step-by-step explanation:
Original is (-1,1) so just multiply by 2 so (-2,2)
The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:
Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.
The average cost approaches to 12 when the number of shirts increases.
Step-by-step explanation:
Since we have given that
Initial cost for a steamer to apply the declas = $100
Cost of material for each shirt = $12
Function representing the band's average cost per t-shirt after x t-shirt are sold is given by:
We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,
For vertical asymptotes , we will make denominator equal to zero.
So, it will be
Thus, vertical asymptotes is x= 0.
Similarly,
For horizontal asymptotes, we first check the degree of both numerator and denominator.
Since we can see that both have the same degree i.e. 1.
So,
So, the horizontal asymptotes is y = 12.
When the number of shirts increases ,The average cost to make a T-shirt approaches is given by
Hence, the average cost approaches to 12 when the number of shirts increases.
Answer:
The vertical asymptote is x = 0
The horizontal asymptote is y = 12
The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Answer:
63
Step-by-step explanation:
Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)
Answer:
4 - 12 - 4x + (- 4x)
-8 (x + 1)
Step-by-step explanation:
16x - 12 - 24x + 4
16x - 24x - 12 + 4
-8x - 8
1)40x - 16 = not equivalent
2)4 - 12 - 4x + (- 4x)
4 - 12 - 4x - 4x
-8 - 8x = - 8x - 8 (equivalent)
3) 8x - 8 (not equivalent)
4)-8 (x + 1) = - 8x - 8 (equivalent)
a) The regular price of a T-shirt is $18. What is the discounted price?
b) If the regular price of an item is x dollars, what is the discount price in dollars?
c) The discounted price of a hat is $18. What is the regular (original) price?
help fast!!!
Answer:
B
Step-by-step explanati
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt. so whats left.... B
Answer:
the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown. C is talking about a hat and were talking abot a shirt.
Step-by-step explanation:
i make games check me out
https://www.freeriderhd.com/u/thecoykid
click on created tracks and then click on a game to play
who ever tells me how they are AND plays them gets brainliest
Answer:
lolll i love those games rn im playing one abt a lil guy on a bike
9.Find the side of a cube whose surface area is 5400cmsquare.
Answer:
a=square root of a/6 = square root of 5600/6 = 30
i would like to have my brainliest naw, thx
What is the equation of the linear function represented by the table?
O y=-X+9
O y=-x+ 13
O y=x+13
O Y = X+9
Answer:
y= -x+9
❤hope its helpful
THANK YOU.
Problem 4: As a salesman you are paid $250 per week plus $70 per sale. This week you want you
pay to be at least $1,200. How many sales must you make to reach your goal?
Answer
12
13
14
15
16
Answer:
14 sales
Step-by-step explanation:
1,200-250=950
70×14=970
We first need to subtract our normal pay out of the expectation.
1200-250=950 dollars
These 950 dollars have to be made from sales, and if each sale gives you 70 dollars, we just need to do simple division.
950/70=about 13.57
This meant that if we get 13 sales, we are not quite there at the goal yet, so we need to round up. Getting 14 as our answer.
Line CD contains points A (4, 6) and B (4, 3). The slope of line CD is (2 points)
positive
undefined
negative
zero
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)
m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]
Division by zero is undefined thus the slope of CD is undefined
Help as soon as possible, please.
Answer:
8 unitsStep-by-step explanation:
Let the center of the circle be point O.
Then
EC + EO = 13EC = 13 - EOThe length of EO is the side of triangle OEB.
Use Pythagorean theorem:
EO² + EB² = OB²EO² + 12² = 13²EO² = 169 - 144EO² = 25EO = √25EO = 5Find the value of EC:
EC = 13 - 5 = 8Which two statements are true
Answer:
Only 2nd option is the correct answer.
There is no other correct option given.
Step-by-step explanation:
Hope it helps you in your learning process.
Find each slope and y-intercept. Then graph each equation.
Answer:
1/2= slope
-3= y-intercept
Step-by-step explanation:
According to the formula, y=mx-b:
b= y-interceptm= slopePlease help me guys
Transversal relations
Answer:
The answer is 75
Step-by-step explanation:
By way of parallelism
[tex]x + 15 = 90 \\ x = 75[/tex]
HELPPP PLSSSS I REALLY NEED HELP!!!
Answer: 108°
Step-by-step explanation:
Answer:
108Step-by-step explanation:Remember that the total amount of degrees in a pentagon is: 540, and there are 5 sides, so divide 5 by 540:
540/5 = 108
108 is your answer.
I. find the distance the two given points
Answer:
Step-by-step explanation:
Use the formula,
distance = √[(x1-x2)^2 + (y1-y2)^2]
Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike
rental costs $3.25 per hour.
Step-by-step explanation: if its asking how much money he spends in total you multiply
$3.25 x 5 = 16.25
Answer:
They will spend $16.25 on each bike for 5 hours, $16.25 x 2 = $32.50. They will spend $32.50 and will be left with $7.50.
Step-by-step explanation:
7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->
Answer:
7Q ^12
Step-by-step explanation:
Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos
how has personal finance literacy affect you in your daily life?
Answer:
I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)
Step-by-step explanation:
[tex]4 \times {8}^{x + 1} = {2}^{2x} [/tex]
Calculate the value of x
Answer:
[tex] - 2[/tex]
Step-by-step explanation:
2^2×2^3(x+1)=2^2x
same base cancel,you will get
2+3x+3=2x
take same variable then - or + you will get
[tex]x = - 2[/tex]
Answer:
x=-5
Step-by-step explanation:
2^2×2^3(x+1)=2^2xsince they have the same Base we equat the exponents2+3(x+1)=2x2+3x+3=2x group like terms3x-2x=-3-2x=-5