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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.
Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help
Answer:
see explanation
Step-by-step explanation:
area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4x - 6 and h = 2x - 3 , then
A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL
= [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute
= 4x² - 12x + 9
----------------------------------------------------------
Area of rectangle CBFG is calculated as
A = lb ( l is length, b is breadth )
Here l = 4x - 6 and b = 3x - 2, then
A = (4x - 6)(3x - 2) ← expand using FOIL
= 12x² - 26x + 12
----------------------------------------------------------
Area of trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the height and b₁, b₂ the parallel bases
Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then
A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)
= [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL
= [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute
= 6x² - 5x - 6
I need help with a math question ASAP!! please Below is a screenshot of the problem
Answer:
Pretty sure it's B, the second one from the top
Answer:
Soda tax — Should people have to pay an extra tax on soda or junk food?
Your conversation should include the following:
A total of at least five entries for each side (10 entries total—two to three sentences each)
Accurate facts used to support both perspectives
At least two properly cited sources used for research
Step-by-step explanation:
I have no use for them just take them pls
Noooooo wayssssssss
I wontttttttt
How do I find the value of X?
Could someone help me with this? Please provide an explanation! Thank you!
Answer:
if you are solving for x then the answer would be -17/6 or -2 5/6 (mixed number form)
Step-by-step explanation:
What is mZG?
Enter your answer in the box.
FGH
(x-5)°
(3x+24)°
x°
Answer:
The angle for G is 121°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :
x + (x - 5) + (3x + 25) = 180°
5x + 20° = 180°
5x = 160°
x = 32°
Next, you have to find the angle of G :
G = 3x + 25
G = 3(32) + 25
G = 96° + 25°
G = 121°
torresn06 where are you i need your help....
567*875
Answer:
The answer is 496125.
Step-by-step explanation:
Simply multiply the two numbers together to get 567*875 = 496125.
Hope this helped!
Answer:496,125
Step-by-step explanation:
3(23−2v)+3v=48
what is v?
Answer:
v=7
Step-by-step explanation:
my previous answer was incorrect, my bad
Answer: v=-7
Step-by-step explanation:
3(23−2v)+3v=48
Distribute:
69-6v+3v=48
Combine like terms:
-6v+3v=-3v
69-3v=48
Subtract 69 on both sides:
69-69-3v=48-69
-3v=-21
Divide 3 on both sides:
-3v/3=-21/3
v=-7
Convert 9.63x10^-3 into Standard form ASAP!
Answer:
= .00963
Step-by-step explanation:
Move the decimal 3 places to the left.
= .00963
Line L is shown in the coordinate plane. a. What are the coordinates of points and ? b. Is the point (16,20) on line L ? Explain how you know. c. Is the point (20,24) on line L? Explain how you know. d. Is the point (80,100) on line L? Explain how you know. e. Write a rule that would allow you to test whether (, ) is on line L.
Answer:
so its will be the equal number
Step-by-step explanation:
pls dont get mad if I'm wrong I tried :)
How many groups of 1/2 days are in 1 week? Write a multiplication equation or a division equation to represent the question, then answer the question. *
Answer:
14 groups
Step-by-step explanation:
Given
[tex]Groupings = \frac{1}{2}\ day[/tex]
[tex]Duration = 1\ week[/tex]
Required
Determine the number of group in the week
To do this, we simply divide the duration by the number half day group.
This gives:
[tex]Group = \frac{Duration}{Groupings}[/tex]
[tex]Group = \frac{1\ week}{1/2\ days}[/tex]
Convert week to days
[tex]Group = \frac{7\ days}{1/2\ days}[/tex]
[tex]Group = \frac{7}{1/2}[/tex]
[tex]Group = 7 / \frac{1}{2}[/tex]
Convert to multiplication
[tex]Group = 7 * \frac{2}{1}[/tex]
[tex]Group = \frac{14}{1}[/tex]
[tex]Group = 14[/tex]
Hence, there are 14 groups
what is the total surface area of three of these ice cubes (pic attached)
Answer:
9ft2
Step-by-step explanation:
Answer:
18 ft
Step-by-step explanation:
John has 14 coins that are nickels and dimes. He has $.95 altogether. How
many of each coin does John have?
Answer:
7 nickels the rest are dimes
Step-by-step explanation:
9 times 5 cents= 45
5 times 10 cents=50
determine whether g(x)=x2-5x+2 has a minimum of maximum
Answer:
g(x) has a minimum
Step-by-step explanation:
Given a quadratic in standard form
g(x) = ax² + bx + c ( a ≠ 0 )
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Given
g(x) = x² - 5x + 2 ← in standard form
with a > 0 , thus
g(x) has a minimum
Sophia spent $75.00 of her $225.00 paycheck on new shoes. What percent of her paycheck did she spend on the new pair of shoes?
Your answer:
if you do solve please make an explanation :)
Answer:
33.33%
Step-by-step explanation:
75*100=7500
7500/225=33.3333333
solve for x
3(x - 2) = 6x - 12
Answer:
The answer is 2
Step-by-step explanation:
Here's how I got it:
3(x - 2) = 6x - 12
Multiply 3 times x and 3 times 2, this is what you would get
3x - 6 = 6x - 12
Then, subtract the lowest x with the bigger X, this way you would have x on one side:
3x - 6 = 6x - 12
-3x -3x
This is what you should have after this:
-6 = 3x - 12
Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:
-6 = 3x - 12
+12 +12
You would get this:
6 = 3x
Finally, you have to get x by itself, so you have to divide 3 on both sides like this
6/3 = 3/3 x
That's why, your answer is 2
Find the sum
14.3 + 7.36 = ?
Answer:
21.66
Step-by-step explanation:
11) Which of the following are examples of the HL Theorem? Select 2. *
Answer:
Step-by-step explanation:
All of them are examples of Hypotenuse Leg Theorem
50 points for good answ.
car moves with constant speed. from A to B, car had to arrive on time, but he ride half of the road with 2/3v speed. with what speed car has to ride the rest of the road to go on B location on time?
Answer:
2vStep-by-step explanation:
Let the distance be d and average speed be v.
Half of the distance the speed was 2/3v
Let the speed be xv in the second half of the distance.
Then time is:
d/v = d/2 : (2/3v) + d/2 : (xv)d/v = 3/4(d/v) + (1/2x)(d/v)1 = 3/4 + 1/2x1/2x = 1 - 3/4 1/2x = 1/42x = 4x = 2The rest of the road car has to ride with speed of 2v
Please help me please
Answer:
The graph of f is shifted 6 units up to create the graph of g
Option A is correct option.
Step-by-step explanation:
We are given f(x)=x
and g(x)=f(x)+6
We need to find how f(x) and g(x) are related.
We know that according to translation rules:
if we have f(x) as original graph and f(x)+d as translated graph it means the original graph f(x) is shifted d units up.
So, in our case f(x)=x
g(x)=f(x)+6
The graph of f is shifted 6 units up to create the graph of g
Option A is correct option.
Nico rolled two number cubes 250 times. use the complement to find the experimantal propability of not rolling a 3 on the blue number cube, NC2.
Answer:
the probability is 0%
Step-by-step explanation:
is there options like
A
B
C
options
A cell phone plan costs $200 to start. Then there is a $50 charge each month.
Is there a proportional relationship between time and the cost of the cell phone plan? Explain how you know.
Answer:
I cant speak English well. I dont understand what it says. can u explain what do u want. I'll help u
Need help ASAP !!!!!!!!
Answer:
b 1 1/7
Step-by-step explanation:
pretty sure its B 1 1/7
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answer:
[tex]x = 46[/tex]
Step-by-step explanation:
Given
The three angles in the triangle are: x, 34 and 100
Required
Determine the value of x
Angles in a triangle add up to 180.
So, we have:
[tex]x + 34 + 100 = 180[/tex]
[tex]x + 134 = 180[/tex]
Subtract 134 from both sides
[tex]x + 134 - 134 = 180 - 134[/tex]
[tex]x = 180 - 134[/tex]
[tex]x = 46[/tex]
Hence, the measure of x is 46
Ethan Planted a tree that was 1.85 meters tall. Several years later, the tree is 5.30 meters tall. Which equation can be used to find x, the number of meters the tree has grown?
A. 1.85x= 5.30
B. 1.85+ x= 5.30
C. 1.85+ 5.30= x
D. 1.85 (5.30)= x
Answer:
x = B the answer is b
Step-by-step explanation:
What is the correct answer? Please hurry
Answer:
2.5m
Step-by-step explanation:
5/2 = 2.5
prove that:
tan80°=2tan 70°+ tan10°
Answer:
kunjal brother answer is correct hope it's help you have a good day ☺☺ keep smiling be happy stay safe ☺☺
Pls answer this 100 points pls HELP
Answer:
The answer is
N+ 1 = 3+2/2
=3
Step-by-step explanation:
The answer is 3
This is a odd number
Answer:
N + 1 = 3+ 2/2 =3
Step-by-step explanation:
I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.
Mollie bought 12 packages of carrots for a total of $48. She realized she needed to purchase another 10 more packages. How much will she have spent IN ALL on the carrots?
Answer:
$88
Step-by-step explanation:
48/12= 4
for another 10 she pays another $40
Answer:
$88
Step-by-step explanation:
Warren was drawing a shape on the grid below. He started at (2,0) and drew a line to (2,5), then to (4,3), then to (6,5) and finally a line to (6,0). What was made after all the points were connected?
Answer:
concave pentagon
Step-by-step explanation:
Answer:
c edge 2021
Step-by-step explanation: