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Complete Question
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.
Answer:
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Step-by-step explanation:
Let
x = the number of packages of pasta
y = the number of jars of pasta sauce.
He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
x + 1.5y ≤ 20....... Equation 1
x = 20 - 1.5y
x × $1 + y × $3 = $36
x + 3y ≤ 36..... Equation 2
20 - 1.5y + 3y = 36
-1.5y + 3y = 36 - 20
1.5y = 16
y = 16/1.5
y = 8
And x = 8
Therefore,
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
help me with this now please
Step-by-step explanation:
davis is right.
4х – Зу = 34
3х + 2y = 17
Choose the number that is 5 more than a square number.
21
34
35
65
76
Answer:
21
Step-by-step explanation:
this requires practical assumption.
take 9 for example
5 more than 9 means 9 - 5 = 4
4 is a square number
21 = 21 - 5 = 16
16 is a square number
34 = 34 - 5 = 29
29 is not a square number
35 = 35 - 5 = 30
30 is not a square number
65 = 65 - 5 = 60
60 is not a square number
76 = 76 - 5 = 71
71 is not a square number
if I have 130 of something and I need 200 how many more do I need
Answer:
70
Step-by-step explanation:
200 - 130
What is the simplest form of expression
I NEED HELP! what shape is symmetry ?
Answer:
E, the heart
Step-by-step explanation:
Answer:
The heart
Step-by-step explanation:
It is able to flip and still look the same
Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ?
A:2500
B:5000
C:4500
A chess club with 25 members is electing a new president. Abdul received 23 votes. What percentage of the club members voted for Abdul?
Answer
92%
Explanation
23 out of 25 people voted Abdul.
So that means [tex]\frac{23}{25}[/tex] people voted Abdul.
When you divide 23 by 25 you get 0.92 which is 92% (multiply by 100).
You divide because a fraction means the numerator divided by the denominator.
what is 7 + 7 +7+7+7+7 x 0
XD
Answer:
35
~
Just simplify the expression and you'll get:
35
~
You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.
~
It's because to answer this question, you will need to use PEMDAS.
P, Parenthesis.
E, Exponents.
M, Multiply.
D, Divide.
A, Addition.
S, Subtraction.
~
Since we don't have parenthesis, exponents, a division sign, or subtraction sign.
All we need to do is Mutiply, and Add.
~
First we multiply, because of the PEMDAS order.
7 * 0 = 0
~
Then, since we used one of the 7's to multiply. (The one next to the 0)
We add the rest of them, not including the last seven.
There are six, sevens.
But we already used one.
So we will add only the other five.
7 + 7 + 7 + 7 + 7 = 35.
7 * 5 = 35
~
And that's it.
You got your answer, 35.
Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4. 2 + y
4(2 + y)
2 +4.7
2(4 + y)
Multi-Step Equations Escape Room
record the triangle from left to right (level 2)
Answer:
Not enough data
Step-by-step explanation:
) A gas station owner finds that for every penny increase in the price of gasoline, she sells 1516 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 10 cents per gallon? If she decreases the price by 2 cents per gallon?
Answer:
a) 15160 gallons
b) 3032 gallons
Step-by-step explanation:
Given that for every penny increase in the price of gasoline there is a decrease of 1516 gallons sold per week
a) when she raises the price by 10 cents per gallon
There will be a decrease of ( 1516 * 10 ) gallons sold per week i.e. = 15160 gallons
b) when she decrease the price by 2 cents per gallon
There will be an increase ( 2 * 1516 ) gallons sold per week i.e. = 3032 gallons
Evaluate the expression 7[tex]x^{2}[/tex]y, when x = 5 and y = 3. (3 points)
Group of answer choices
210
728
525
315
( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth
Answer:
33.8
Step-by-step explanation:
33.8 is the closest to half of 65.
9514 1404 393
Answer:
125
Step-by-step explanation:
The proportion you want is ...
[tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]
52% of 125 is 65.
__
Comment on the formulation
You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...
whole/part = 100/52 = ?/65
Then the solution is one step: multiply by 65.
Brent and Lance leave a park on bicycles traveling at constant rates in opposite directions. After 2.5 hours, they are 85 miles apart. If Lance bikes 2 mph faster then Brent, how fast is Lance biking?
Answer:
18 mph so B is correct 16+2= 18
Answer:
B
Step-by-step explanation:
HELP! WILL MARK BRAINLIEST
Answer:
it is b
Step-by-step explanation:
what’s the hypotenuse of c ?
Answer:
it would be A 160
Step-by-step explanation:
4 square plus + 12 square = 16+144=160
can i plz get some help
Answer:
36
Step-by-step explanation:
Write and solve an equation for each problem situation. Define the variable
A) Scott spent half of his weekly allowance on music.
To help him earn more money, his parents let him wash the car for $6.53. What is his weekly allowance if he ended with $12.03
Answer:
His weekly allowance is $5.50.
Step-by-step explanation:
12.03 - 6.53 = $5.50
I'm not 100% sure this is accurate. Good Luck!
A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?
Answer:
280
Step-by-step explanation:
subtract
Answer:300
Step-by-step explanation:
what is 5/8 divided by 4
Answer:
0.156
Step-by-step explanation:
Answer:
5/32
Step-by-step explanation:
[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]
c + 1/4c
please help me i need this done now
Answer:
[tex]1\frac{1}{4} c[/tex]
Step-by-step explanation:
[tex]c+\frac{1}{4}c[/tex]
Rewrite the expression
[tex]= 1c+\frac{1}{4} c[/tex]
Add
[tex]= 1\frac{1}{4} c[/tex]
Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].
I hope this helps!
cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.
A. 2,857.60
B. 38,577.60
C. 1,428.80
D. 5,715.20
Answer:
$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.
Step-by-step explanation:
A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?
Answer:
19 by 38
Step-by-step explanation:
The area of the poster, A=xy
Margin at both up and bottom is 2inches, at the right and left is 1 inch
Then we can say
(x-4)(y-2)= 578
Let us make y subject of the formula
(y-2)= 578/(x-4)
y=[ 578/(x-4)] + 2
If we substitute into the area A equation we have
A= x { [ 578/(x-4)] + 2}
A= 2x + (578x)/(x - 4)
If we differentiate we have
A'(x)= [2+578(x-4)+578x ]/ (x-4)^2
=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2
=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2
If we simplify this we have
=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2
=( 2x^2 -16x - 2312) / (x-4)^2
At A'(x)= 0
= ( x^2 - 8x - 2312) / (x-4)^ =0
If we divide through by 2 we have
x^2 - 8x - 1156= 0
Solving the quadratic eqn( CHECK THE ATTACHMENT)
X= 38 or -30 then we choose the positive one, then x= 38
Then from area of the poster
A= (x-4)(y-2)= 578
Substitute 38 as value of x
(38-4)(y-2)= 578
34(y-2)=578
34y-68=578
34y=646
y=19
Hence dimensions of the poster is 19 by 38
CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION
I NEEP HELP ASAP PLEASE AND THANK YOU
Answer:
The first answer, 3 times the square root of x squared is correct.
Find the distance between the two points in simplest radical form.
(-3,-2) and (-8,4)
Answer:
Submit Answer
✓
attempt 1 out of 2
Answer:
y=−2/5x+4/5y
Step-by-step explanation:
Hope's this helps
Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.
Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]
[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]
Thus, the equation is TRUE.
(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]
[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]
Thus, the equation is FALSE.
(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]
[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]
Thus, the equation is FALSE.
(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]
[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]
Thus, the equation is TRUE.
(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]
[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]
Thus, the equation is FALSE.
Help will give crown
Answer:
8
Step-by-step explanation:
from A to B it's 8 units long
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Answer:
the final amount is 1,135
Step-by-step explanation:
The computation of the final amount is shown below:
= Amount × (1 + increased percentage)
= 1102 × (1 + 0.02)
= 1102 × 1.02
= 1124.04
Now the additional one percent increase is
= 1,124.04 × 1.01
= 1,135
Hence, the final amount is 1,135
The same is to be considered