Answer:
x=1
y=3
z=-2
Step-by-step explanation:
Use substitution to solve two systems and then the third.
The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals while grocery shopping; however, the Scott family needs help determining which stores have the better deals.
At Grocery Mart, strawberries cost $2.99 for 2 lb., and at Baldwin Hills Market strawberries are $3.99 for 3 lb.
What is the unit price of strawberries at each grocery store? If necessary, round to the nearest penny.
Grocery Mart:
$_________
Answer:
Unit Price at Grocery Mart = $1.50
Unit Price at Baldwin Hills = $1.33
Step-by-step explanation:
Unit price in this case will be the price divided by number of pounds
Let u1 be the unit price of Grocery Mart and u2 be the unit price at Baldwin Hills
Given
[tex]s_1 = 2.99\\w_1 = 2\\s_2 = 3.99\\w_2 = 3[/tex]
The unit price for Grocery Mart is:
[tex]u_1 = \frac{s_1}{w_1}\\= \frac{2.99}{2}\\= 1.495[/tex]
Rounding off to nearest penny
u1 = $1.50 per lbs
Unit price for Baldwin Hills is:
[tex]u_2 = \frac{s_2}{w_2}\\=\frac{3.99}{3}\\=1.33[/tex]
u2 = $1.33 per lbs
Hence,
Unit Price at Grocery Mart = $1.50
Unit Price at Baldwin Hills = $1.33
Determine the range of the following graph
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?
what is the domain of this scatter plot?
Answer:
this answer should be green
write a translation rule that maps point d(7 -3) onto point d'(2 5)
Answer:
translate (x,y) (x-5,y+8)
The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The cube root function is given by:
[tex]y = \sqrt[3]{x}[/tex]
The changes are as follows:
Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.Hence, the equation is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
Step-by-step explanation:
is this a quadrilateral? or polygon or triangle?
what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive
HURRY HELP
Tammy sold a diamond ring for $10,000. She placed the money into a CD with a 3.9% interest rate compounded
annually. What is the interest earned on the amount after 4 years?
a.)$1653.66
b.)$1984.87
c.)$1492.04
d.)$1119.99
=====================================================
Work Shown:
Use the compound interest formula
A = P*(1+r/n)^(n*t)
A = 10000(1+0.039/1)^(1*4)
A = 11,653.65589441
A = 11,653.66
That's the amount of money Tammy will have at the end of 4 years.
Subtract off the principal from this value to get the interest.
interest = A - P
interest = 11,653.66 - 10,000
interest = 1,653.66
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
Can someone answer this please?
Answer:
29.) y = -1.5x - 20
30.) y = 6 - 3x
Step-by-step explanation:
29.) For parallel lines; M1 = M2
put the equation in the form y = mx + c
the equation becomes 2y = 14 - 3x
therefore y = 7 - 1.5x.
For the points, introduce another point; (x,y) and the initial (-6,-11)
(y - - 11) ÷ ( x - - 6) = -1.5
y+11 = -1.5x - 9
y= -1.5x - 20
30.) still following the same procedure, only that M1 × M2 = -1
M1 = 1/3, M2 = -3
(y + 9)/(x - 5) = -3
y + 9 = 15 - 3x
y = 6 - 3x
Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone bill, which was $31. Select all the true statements about Deena’s account.
To start, Deena had a positive balance.
In this situation, 0 represents an empty bank account.
After paying for groceries, Deena had a negative balance.
After paying her cell phone bill, Deena had –$12 in the account.
The smallest balance in the account was $19.
Step-by-step explanation:
Step one:
given data
amount deposited=$48
after the purchase of groceries
account balance= $19
cell phone bill, which= $31
Step two:
The account balance after paying for groceries will be
=19-31= $-12
she will have a deficit of $12, hence a negative account balance
To start, Deena had a positive balance. -------True
In this situation, 0 represents an empty bank account. -----True
After paying for groceries, Deena had a negative balance. ---True
After paying her cell phone bill, Deena had –$12 in the account. ...True
The smallest balance in the account was $19. ....True
The m<1=4x-30 and the m<5=2x+50. Find m<1 and m<7.
A. M<1=130 and M<7=130
B. M<1=130 and M<7=50
C. M<1=50 and M<7=50
D. M<1=50 and M<7=130
Answer:
D) m<1 = 50 m<7 = 130
Step-by-step explanation:
Lets set up the equation!
We know m<4 is 4x-30 and the m<5 is 2x + 50 due to alternate interior angles they are congruent so we can forge an equation, all we do is set them equal to each other!
4x-30 = 2x+50
Add 30 to both sides
4x = 2x +80
Subtract 2x from both sides.
2x = 80
Divide both sides by 2
x = 40
Now that we know x we can just plug it into the expression of m<4 to find m<1
4x-30
4(40)-30
80 - 30
50
m<4 = 50
Because m<1 and m<4 are vertical angles they are congruent!
m<1 = 50
We also know m<4 and m<5 are congruent so m<5 = 50 as well.
Because <7 is supplementary to <5 we know that the sum of both angles amount to 180.
x represents m<7
50 + x = 180
Now we solve by subtraction 50 from both sides
x = 130
m<7 = 130
Brainliest is appreciated!
during migration , a butterfly can travel 30 miles in 1 hour . which graph best represents y , the number of miles a butterfly can travel in x hours ?
How to find
range
mode
median
mean
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest
Step-by-step explanation:
Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.
Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.
Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.
Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.
a jar contains 10 caramels 5 mints and 15 dark chocolates what is the probability of selecting vs mint expressed as show ur working out
Answer: The probability of selecting a mint 1/6
Step-by-step explanation:
the jar contains 30 different candies
out of the 30, 5 are mints
5/30 = 1/6
are these all right?? PLS HELP IM SO DUMB AHAH.
Answ
yes
Step-by-step explanation:
Answer:??
Step-by-step explanation: How do I use this app??
A 9 pound bag of brown rice cost 40. 32 what is the price per ounce
Answer:
price per ounce: $4.48
Step-by-step explanation:
divide 40.32 by 9
Answer:
0.28
Step-by-step explanation:
9 pound = 144 ounce
40.32 / 144 = 0.28
what is the answer?
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
HELP THIS IS THE 5TH TIME I POSTED THIS BRUH
Answer:
it's blurry all i see is pixels...
i'll help if you send me a picture...
Step-by-step explanation:
thx u help now ok yeah
To find the equation of the parabola, first let's write the parent function,
y = a(x-h)^2+k. Ok, now we need to find the vertex and plug it in. Remember, (h,k). When we look at the problem the vertex is (0,4). Therefore we write it as y = a(x-0)^2 +4 or y = ax^2 + 4. Now we need to look to see if it was stretched or compressed. Keep in mind that on a normal parabola, if you move over 1 you go up one. If you move over 2 you go up four. If you move over 3, you go up 9. In this problem, you move over 1, you go up 1. If you move over 2, you go up 4. If you move over 3, you go up 9. From this information, we see that there is no stretch or compression. Therefore the equation of the graph shown is:
y= x^2 +4
Answer my math question I asked so many times I lost most of points by
Answer:
im sorry i wish i can help
Step-by-step explanation:
For the function f(x) = (x – 9)7, find f-1(x).
Answer:
Let y=x,
y=(x-9)7
(y+9) ÷7=x
f-1(x)=(y+9)÷7
Eric wants to send a package to his mother. If he chooses UPS, the fixed express fee is 10 dollars and each kilogram costs 2 dollars. For Fedex, the fixed fee is 20 dollars and each kilogram costs only 1 dollar. If the total costs of the two options are the same, how many kilogram of package does Ericsend? Write a system of equations in order to solve this problem.
Answer:
10kg
Step-by-step explanation:
For UPS;
express fee = $10
If one kg costs $2, then x kg of package will coat $2x
Total cost of shipping xkg of package will be 10+2x
For FedEx;
Fixed express fee = $20
If one kg costs $1, then x kg of package will coat $1x
Total cost of shipping x kg of package is 20+x
If the total costs of the two options are the same, then;
10+2x = 20+x
2x-x = 20-10
x = 10.
Hence Eric sent 10kg of package
1 point
A shirt is on sale for 40% off. The sale price is $12. How much was the
original price? *
20.00
16.80
19.20
8.00
Answer:
B
Step-by-step explanation:
0.4 x 16.8 or 40% off of 16.80 is 12
A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The number of seeds S(t) produced by a plant maturing at age t is S(t)=−0.3t2+30t+0.2 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only P(t)=90000t+100, plants mature to age t. What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?a. Between 130 and 140 days b. Between 120 and 130 days
Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
No Solution
Step-by-step explanation:
As the two lines have the identical slope (-1/2x), that means these two lines are parallel, and therefore they have no solution.
Select all of the points that are solutions to the linear equation 2x + 9y = 54
good luck
Step-by-step explanation:
find the distance between PQ. P(3,4) and Q(6,8)
25
20
15
5
Alright, second part of Absolute Value Homework.. For part c i need a number line that looks like the one i have attached please. Help is MUCH appreciated!!!
Answer:
a. -0.01 < x - 8 < 0.01
b. 7.99 < x < 8.01
c. see attachment
d. Bolt has to be greater than 7.99 mm and less than 8.01 mm to be within the margin of error of 0.01 mm.
Step-by-step explanation:
-0.01 < x - 8 < 0.01
-0.01 < x - 8 and x - 8 < 0.01
7.99 < x x < 8.01
Write this as: 7.99 < x < 8.01
On graph the 7.99 and 8.01 are very near to each other and represented via open red circle.
Answer:
b. is 7.99 < x < 8.01
Step-by-step explanation:
Sorry, I don't know the other parts.
Subtract.
(2x4−x2+5x−2)−(−x4+3x3+2x2−1)
Answer:
477
Step-by-step explanation:
:)