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Related Questions
Last week, Keegan bought 4 shirts and 9
hats for a total of $108.
Today, Keegan bought 17 shirts and 21 hats
for a total of $321.
Assuming neither item has changed in price,
what is the cost of a shirt in dollars?
to write down notes or work through problems
Answers
Answer: Shirts are $9 each and hats are $8 each
Step-by-step explanation:
Let S be the price of a Shirt, and H the price of a Hat.
First Week: 4S + 9H = $108
Today: 17S + 21H = $321
We have 2 equations and 2 unknowns (S and H). Rearrange one of the equations to isolate one of the unknowns. I'll rearrange the first for S:
4S + 9H = $108
4S = $108 - 9H
S = ($108 - 9H)/4
S = 27 - 2.25H
Now use this value of S in the second equation:
17S + 21H = $321
17(($27 - 2.25H) + 21H = $321
Solve for H:
459 -38.25H + 21H = $321
-17.25H = - 138
H = $8
Each hat was $8.
Use this value in the first equation to find S:
4S + 9H = $108
4S + 9*($8) = $108
4S + $72 = $108
S = $9
Each shirt was $9.
==
Check to see if the numbers give the correct results:
4*($9) + 9*($8) = $108
17*($9) + 21*($8) = $321
Both yield the correct amounts. Shirts are $9 each and hats are $8 each.
describe the transformation
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Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.
g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.
Brian had $40 in his savings account in January. He continued to add money to his account and by June, the value of the savings account had increased by 50%. How much money is in Brian's account in June?
Answers
Answer:
Well the answer is
Step-by-step explanation:
GET YO BUTT OFF THIS APP AND ACTUALLY READ A MATHS BOOK
In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?
Answers
Answer:
60
Step-by-step explanation:
We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...
red : blue : yellow = 14 : 15 : 6
Multiplying this by 4 will give 24 yellow chairs:
4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.
60 chairs are blue.
Liam bought 5 7/8 pounds of steak. He used 2 1/16 pounds of steak for a cookout.
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The pounds of steak remaining after the cookout is 3 13/16 pounds
Given:
Total steaks bought = 5 7/8
Steaks used for cookout = 2 1/16
Total steaks remaining = Total steaks bought - Steaks used for cookout
= 5 7/8 - 2 1/16
= 47/8 - 33/16
= (94-33) / 16
= 61/16
= 3 13/16 pounds
Therefore, the pounds of steak remaining after the cookout is 3 13/16 pounds
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you buy 5 pounds for 35 how much dose one pound cost
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Answer: 35 divided by 5 = 7.
Step-by-step explanation: therefore one pound is $7
pls help me on this im stuck
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Answer:
44 or B
Step-by-step explanation:
Look at comments above
Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?
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Answer:
120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799
How to factor 10n^2 +n -3
and 2d^2=8de+6e^2
Answers
Answer:
(5+-1) (2+2
Step-by-step explanation:
if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
Answers
Step-by-step explanation:
a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²HENCE PROVED
a²-b²-c²=2bc
Step-by-step explanation:
........ ............... .......
You need 12 dozen cookies for a bake sale. The original recipe makes 48 cookies (4 dozen). How much of each ingredient will you need?
To make a mixed number, type the whole number, then a space, then the fraction part. Example: Two and one-fourth would be 2 1/4.
Only type whole numbers, fractions or mixed numbers in the boxes below (NO DECIMALS). If it does not exactly match the answer I typed in, it will be marked incorrect. Use the / key by the right-side shift button as the fraction bar.
Ingredients Original Recipe Your Amount
All purpose flour 214 cups
cups
Baking Soda 1 teaspoon
teaspoon
Salt 12 teaspoon
teaspoon
Butter, softened 1 cup
cup
Granulated sugar 34 cup
cup
Brown Sugar 34 cup
cup
Egg(s) 1
Vanilla 1 teaspoon
teaspoon
Semisweet Chocolate Chips 2 cups
cups
What is the constant of proportionality for this situation?
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Answer:
So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups
Which polynomials are listed with their correct additive inverse? Check all that apply. X2 3x â€"" 2; â€""x2 â€"" 3x 2 â€""y7 â€"" 10; â€""y7 10 6z5 6z5 â€"" 6z4; (â€""6z5) (â€""6z5) 6z4 x â€"" 1; 1 â€"" x (â€""5x2) (â€""2x) (â€""10); 5x2 â€"" 2x 10.
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Given to us:
[tex](a)\ x^2+3x-2;\ -x^2-3x+2\\\\(b)\ -y^7-10;\ -y^7+10\\\\(c)\ 6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4;\\\\(d)\ x-1;\ -x+1\\\\(e)\ (-5x^2) + (-2x) + (-10);\ 5x^2 - 2x + 10[/tex]
Additive inverse means changing the sign of the number and adding it to the original number to get 0(zero) as our answer.
(a)
[tex]x^2+3x-2;\ -x^2-3x+2)\\x^2+3x-2 +( -x^2-3x+2)\\[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(b)
[tex]-y^7-10;\ -y^7+10\\-y^7-10+( -y^7+10)[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
(c)
[tex]6z^5+6z^5-6z^4;\ (-6z^5)-(6z^5)+6z^4,\\\\6z^5+6z^5-6z^4+[ (-6z^5)-(6z^5)+6z^4}[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(d)
[tex]x-1;\ -x+1\\x-1+( -x+1)[/tex] on solving this we will get zero.
hence, this is an additive inverse.
(e)
[tex]-5x^2 + -2x -10;\ 5x^2 (- 2x) + 10\\-5x^2 + -2x -10+ 5x^2 (- 2x) + 10[/tex] on solving this we will not be getting zero.
hence, this is not an additive inverse.
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Two boxes are similar. The longest dimension of the smaller box is 6 inches and its volume is 48 in3. The longest dimension of the larger box is 12 inches. What is the volume of the larger box?
Answers
Answer:96
Step-by-step explanation:
What is the equation of the line that passes through the point (-4,6) and has an undefined slope?
Answers
Explanation: it is undefined so it will be x=…
how do I find the volume of this shape?
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Answer:
length times witdth times height
A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answer as a fraction.
Answers
Answer:
17/3
Step-by-step explanation:
to find out the width, we need to divide the area by the length.
68/12=5.666666667
fraction form: 17/3 (5 2/3)
Kendricks Kennel has 2 spots for cats for every 7 spots for dongs. If he has a total of 144 spots for both cats and dogs, how many more spots does he have for dogs than cats
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Due in 5 mins help please!!!
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Answer:
answer B is correct answer!
I think so
Find the difference between 7/10 and 1/5
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Answer:
Its d 5/10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
help with my math READ IT CARFULLY
Answers
Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28
Srec = 6 . 4 = 24
S= 6,28 + 24 = 30,28
the answer is 30,28
ok done. Thank to me :>
its math can someone help
Answers
Answer:
$2.5/game
Step-by-step explanation:
To find Slope, Change of rate
find two points on the graph
I selected : (4,14) and (8, 24)
Slope: y2-y1/x2-x1
24-14/8-4
10/4
5/2
=2.5
so the rate of change is $2.5/game
4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?
Answers
Answer:
You can! It's just a matter of personal choice.
Step-by-step explanation:
f(x)= 2/(x+3) find domain
Answers
Answer:
x < -3 or x > -3
what is the measure of angle W?
Answers
Answer:
really to easy
so
x=35
w=81
t=70
c=151
Step-by-step explanation:
Help!!!! 100 POINTS (FIRST CORRECT ANSWER GETS BRAINLIEST)
Answers
Answer:
14x+4
Step-by-step explanation:
5x+5x+2x+2x+3+3-1-1
5x+5x+2x+2x=14x
3+3-1-1=4
14x+4
Nick and Sally run on the 100m straight track,Nicks's speed is 3m/s,Sally's soeed is 2m/s.If they both start from two sides of the track, running towards each other continuously.Then they would meet each other ... times after 10 minutes
Answers
They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
30 x 20 + 2 x 20 = 60 + 40 = 100 10 minutes = 600 seconds 600/20 = X 30 = X
Therefore, they would meet 30 times after 10 minutes.
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Simplify this expression
4X^2y^3 x 2x^3y^4
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Answer:
8^5^7
Step-by-step explanation:
Multiply the numbers:
4X^2 y^3 x 2x^3 y^4
8^2 ^3 ^3 ^4
Combine Exponents:
8^2 ^3 ^3 ^4
8^5 ^3 ^4
8^5 ^3 ^4
8^5 ^7
Help me ;-;
Find (2)(‐3)
Answers
Would be your answer
equivalent expressions to 3/5x +3
Answers
Step-by-step explanation:
......3(x+5)/5......
Plz help
Find ‘x’ & ‘y’
Answers
Answer:
x=20. y=15
Step-by-step explanation:
in similar triangles the sides are all in proportion. this means:
[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]
[tex] \frac{25}{5} = 5[/tex]
so:
[tex] \frac{x}{4} = 5[/tex]
x=5×4
x=20
and...
[tex] \frac{y}{3} = 5[/tex]
y=3×5
y=15