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.
10 is 20% of (blank)
Answer:
50
Step-by-step explanation:
A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The
situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the
larger number.
Which two equations represent the situation?
A. y = 1/3x and y = x - 4
B. y = 1/3x and y = x + 4
C. y = 3x and y = x + 4
D. y = 3x and y = x - 4
21.6% of all registered doctors were female, if there were 45,200 females registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number
Answer:
209259
Step-by-step explanation:
45200 / 21.6 = 209259.259259
209259.259259 rounded to nearest whole number = 209259
When X is equal to 1/2 what is the value of 8X -3 overX
x = 1/2
(8x-3) / x = 1 / (1/2) -> 1 x 2 = 2
So, when x = 1/2, (8x-3)/x = 2.
I need this solved as c.l.t
6=n-2n
Answer:
n= -6
Step-by-step explanation:
If a cube has a volume of 1 cubic unit, how long is one of its edges?
Answer:
Step-by-step explanation:
If the volume of a cube is 64 cubic inches, Possible Answers: 2 in. 4 in. 9 in. 6 in. 8 in.
Solve for j. 144j2 + 21 = 85
Answer:
2/3
Step-by-step explanation:
I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is [tex]\sqrt{64}/ \sqrt{144}[/tex], or 8/12, which we can now simplify to 2/3. Hope this helps!
Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.
The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.
Check all the options in order to determine the given polynomial is prime or not.
A) [tex]x^4+3x^2-x^2-3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
B) [tex]x^4-3x^2-x^2+3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
C) [tex]3x^2+x-6x-2[/tex]
Now, try to factorize the above polynomial.
[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
D) [tex]3x^2+x-6x+3[/tex]
The given polynomial is not factorized further therefore, this polynomial is is a prime.
For more information, refer to the link given below:
https://brainly.com/question/17822016
The larger angle measures?
The smaller angle measures?
Answer:
Larger angle: 104 degrees
Smaller angle: 76 degrees
Step-by-step explanation:
(9x+5) + (6x+10) = 180
x = 11
[tex]\sf 3(5x+4)[/tex]
[tex]\boxed{\sf Have \: a \: nice\: day!}[/tex]
Answer:
[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]
Answer:
15x+12
Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12
Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).
The solution of the given equation is (3,6). The correct option is B.(3,6)
Given equations,[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]
How to solve the equations?putting the value of y from equation (1) in equation (2) , we get
[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]
substitute the value of x=3 in equation (1) we get,
[tex]y=3+3\\y=6[/tex]
Hence, the solution of given equation is (3,6).
So, the correct option is B.
For more details about the system of equations, follow the link:
https://brainly.com/question/12895249
What is the slope of the line?
What is the domain and range of this graph??
Answer: D: (-∞, ∞)
R: (-∞, ∞)
Step-by-step explanation:
Since the end points are arrows and have no set stopping point we can assume the answer is all real numbers, also known as infinity
A line has a y-intercept of 3 and a slope of -1 /8. What is its equation in slope-intercept form
Answer:
-1/8x+3
Step-by-step explanation:
Answer:
y = -1/8x+3
Step-by-step explanation
your slope intercept form should be written as y=mx+b
m = slope = -1/8
y intercept = b = 3
now just replace m and b with your values
y = -1/8x+3
blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00
Answer:
1/4 or .25
Step-by-step explanation:
You cross multiply which would give you 4x=1.
An airport parking lot has 2,800 spaces. if each row has 25 spaces, how many rows are there?
I need the function for the volume of the box for number 1
Answer:
Step-by-step explanation:
v = l * w * h
v = x * 22 * 28
v = 616x
Hey y’all, please help me
5x+6=2x-1
this is a question I have
Answer:
X = -2.33333
Step-by-step explanation:
5x= 2x -7
3x = -7
X = -2.33333
Answer:
yurrr
Step-by-step explanation:
x= -7/3
Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???
Answer:
1 decilitre
Step-by-step explanation:
You can look up charts for these. Look up litre chart
5x/2 - 3x/4 = 10 1/2
how to solve this?
[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]
[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]
Multiply both sides by 4
[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]
[tex]10x - 3x = 42[/tex]
[tex]7x = 42[/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]
[tex]x = 6[/tex]
8. Beth doesn’t begin receiving commission until she reaches $50,000 in sales. After that, her commission rate is 12%. If she ends up selling cars totaling $115,000, how much money would she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400
Step-by-step explanation:
she is the only sales agent selling cars after totaling them ... :-)
she makes 12% commission on the amount of sales beyond $50,000.
so, total sales was $115,000.
the base for her commission is then
115,000 - 50,000 = $65,000
she gets 12% of these $65,000.
100% = $65,000
1% = 100%/100 = 65,000/100 = $650.
12% = 1%×12 = 650 × 12 = $7,800
so, C is the right answer.
What inequality is represented by this graph?
O X > 6 O X _< 6 O X<6 OX_>6
last option in the picture
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Its 27
Step-by-step explanation:
Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.
Write an equation to find the original amount of oats, x, in the recipe.
Answer:
y = 94.5 cups
Step-by-step explanation:
Let's say:
y = oatsx = chocolate chips = 212=> Full Recipe = 212 + y
=> 2(Full Recipe) = 2(212 + y) = 613 cups
=> 2(Full Recipe) = 424 + 2y = 613 cups
=> 2y = 613 - 424
=> 2y = 189
=> y = 94.5
Therefore, the required oats to do double the recipe is 94.5 cups.
Hoped this helped.
[tex]GeniusUser[/tex]
Please help
I need to turn it in now
Answer:
Step-by-step explanation:
x=rcosθ=4 cos (-40)=4 cos 40≈3.064
y=r sin θ=4 sin (-40)=-4 sin 40≈-2.571
the vector is (3.064,-2.571)
what is number of terms for 32y- 28
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Need help please please i need help thanks
Answer:
1) 6 balls
Step-by-step explanation:
x = number of balls Elsa can shoot
x + 6 = number of balls Anna can shoot
18 = number of balls together they can shoot
x + (x + 6) = 18
x + x + 6 = 18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 6
2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.
3)Let x & y be packets of [a] type & [b] type detergent sold
Then 9x +7y =180
Let us say x=7
Then 9*7+7y =180
7y =180–63 = 117
y =117/7=19.2 this will not do as it contains decimal not whole number
Say x=6
Then 9*6 +7y =180
7y=180–54 =126
y =126/7 =18 this is acceptable as it is whole number
Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php
4) 5,6,7 female piglets
5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.
4kg of rice - Php. 360.00
3kg of pork- Php. 390.00
1kg of rice is Php. 90.00
1kg of pork is Php. 130.00
Refer to attachment for solution ~
Sorry for late, I didn't have time for it !
Please answer this question.
Abby rode her bike for 1 and 3/4 hours on Saturday and 1 5/8 hours on Sunday what is the total amount of time she rode her bike on these two days
Answer:
3 3/8 hours
Step-by-step explanation:
Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8