Answer:
17 white sweatshirts were sold and 19 yellow sweatshirts were sold.
Step-by-step explanation:
Let w represent the number of white sweatshirts sold and y represent the number of yellow sweatshirts sold.
We can write a system of equations to represent the situation.
Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:
[tex]y+w=36[/tex]
And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:
[tex]10.95w+11.5y=404.65[/tex]
Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract w from both sides:
[tex]y=36-w[/tex]
Substitute this into the second:
[tex]10.95w+11.5(36-w)=404.65[/tex]
Distribute:
[tex]10.95w+414-11.5w=404.65[/tex]
Simplify:
[tex]-0.55w=-9.35[/tex]
Divide both sides by -0.55:
[tex]w=17[/tex]
So, 17 white sweatshirts were sold.
Using the modified equation, substitute:
[tex]y=36-(17)=19[/tex]
Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.
Explain why the set of polynomials is closed under subtraction
Answer:
Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials.
Step-by-step explanation:
please help! asap!! function A and function B are linear functions, which statement is true?
Answer:
A
Step-by-step explanation:
Equation of the line A
(y+7)/(17+7) = (x+3)/(3+3)
(y+7)/24 = (x+3)/6
y+7 = 4x + 12
y = 4x + 5
y intercept = 5
Function B
y intercept = -2
What is the approximate value of the y intercept and what does it mean in this example?
Answer:
Step-by-step explanation:
By using the utility for the line of best fit,
Equation of the line of best fit will be,
y = 1.5x + 1.32
Here, y - intercept of the line = 1.32
Here, y-intercept represents the amount of bean production when the level of water applied was zero.
question- pls help me find the ans
Answer:
(c) 3,5 is the correct answer
Find the value of x
A. 20
B. 28
C. 10
D. 50/7
Answer:
x=28
Step-by-step explanation:
Step 1, comparing triangles:
Let us look at [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].
They both share [tex]\angle A[/tex] ([tex]\angle A=\angle A[/tex])[tex]\angle ABC = \angle BDE[/tex] (Corresponding Angle Theorem)[tex]\angle ACB = \angle CED[/tex] (Corresponding Angle Theorem)Therefore, because of AAA (Angle Angle Angle), [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex] are similar.
Step 2:
Because the two triangles are similar, their sides should be proportional. Notice that [tex]\overline{AB}[/tex] and [tex]\overline {AD}[/tex] should be proportional.
Therefore, [tex]\overline{AB}[/tex]: [tex]\overline {AD}[/tex] =
[tex]12:30+12=\\12:42=\\2:7[/tex]
(Note, [tex]\overline {AD}[/tex] = [tex]\overline{AB}[/tex]+ [tex]\overline{BD}[/tex]=12+30)
Step 3:
We figured out that [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex] have proportional sides of 2:7. Therefore, [tex]\overline{BC}[/tex] and [tex]\overline{DE}[/tex] should also have a ratio of 2:7.
[tex]8: \overline{DE}=2:7\\8:\overline{DE}=8:28\\\overline{DE}=\fbox{28}[/tex]
x=28
I hope this helps! Let me know if you have any questions :)
Answer:
x = 20
Step-by-step explanation:
If we look at the given diagram, we will see that ΔABC and ΔADE are similar. Because they a similar we know that corresponding sides are in proportion. In order to solve this question, we need to know what the coefficient of similarity is.
AB and AD are corresponding sides, in order to get from 12 to 30 we need to multiple 12 by 2.5. That means that the coefficient of similarity between the two triangles is 2.5. To get x (length of DE) we need to multiply the length of BC by the coefficient of similarity. And so we get...
x = 2.5(BC)
x = 2.5(8)
x = 20
LA=
Round your answer to the nearest hundredth.
С
7
A
?
8
B
Answer:48.81
Step-by-step explanation:
Hope it helps
Which data set has an apparent negative, but not perfect, linear relationship between its two variables
Find c. Round to the nearest tenth:
Step-by-step explanation:
what is the question please
Which equation would have the steepest graph? Explain how you know?
Answer:
y = 3/8 x
Step-by-step explanation:
the smaller the number the steeper the graph
Can someone graph this quick plsssss
Answer:
x = 0.529 and y = 3.882
Step-by-step explanation:
The given equations are :
[tex]y=\dfrac{5}{3}x+3\ ......(1)\\\\y=\dfrc{1}{3}x-3\ .......(2)[/tex]
We need to solve the equations by graphing.
The attached figure shows the solution of the given equations. We can see that, the intersecting points are :
x = 0.529 and y = 3.882
Hence, this is the required solution.
find measure of indicated arc please!
Answer:
94 degrees
Step-by-step explanation:
a deli employee can make a sandwhich in 6 minutes.she works for 84 minutes.how many sandwhiches can she make
Answer:
14
Step-by-step explanation:
84/6
How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?
The diameter of a circle is 15 in. Find its circumference in terms of \piπ
Answer:
15π in
Step-by-step explanation:
In order to solve this, we need to know that the circumference of a circle can be found by using the following formula...
Circumference = dπ (where d is the diameter of the circle)
Therefore the circumference equals...
Circumference = dπ = 15π in
[tex]\boxed{Given:}[/tex]
Diameter of the circle "[tex]d[/tex]" = 15 in.
[tex]\boxed{To\:find:}[/tex]
The circumference of the circle (in terms of π).
[tex]\boxed{Solution:}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:15\:π\:in.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = \pi \times 15 \: in \\ \\ = 15 \: \pi \: in[/tex]
Therefore, the circumference of the circle is 15 π in.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Candice works at a grocery store. She works 35 hours a week and
gets paid $8.50 an hour. For every hour over 35, Candice gets
paid $10 an hour. If she was paid $357.50 last week, how many
hours over 35 did Candice work?
9514 1404 393
Answer:
6
Step-by-step explanation:
For 35 hours, Candice is paid ...
($8.50/h)(35 h) = $297.50
Any amount in excess of that is paid at $10 per hour. The amount of excess pay is ...
$357.50 -297.50 = $60.00
Then the number of overtime hours was ...
$60/($10/h) = 6 h
Candice worked 6 hours over 35 last week.
Using only an addition, how do you add eight 8’s and get the number 1000?
Answer:
8
8
8
8 8
8 8 8
-------------------
1 0 0 0
Step-by-step explanation:
A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?
B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?
Answer:
A.) 84π | B.) 546π/5
Step-by-step explanation:
A.)
V(Cone) = πr²(h/3) where r = radius and h = height.
r = d/2 where d = diameter.
r = 12/2 = 6
V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π
B.)
84π · 0.3 = 126π/5
84π + 126π/5 = 546π/5
help..............................................................
Answer:
This will now be ⁴√(7^9)
Step-by-step explanation:
c=4
a=7
b=9
The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where is the park bench from the building? round to the nearest whole number
Answer:
547 m
Step-by-step explanation:
Given :
Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 63.7167 = d / 270
d = 270 * Tan 63.7167
d = 546.70459
d, distance of Park bench from building is 547 m
mace
II. Directions: Solve for the answers of the problems below.
3. Bruno is running in a plaza having a radius of 75 meters. After having a complete round, he
wants to check if how many meters he ran. Please help Bruno.
Answer:
150
Step-by-step explanation:
radius is the half of one whole circle so
75 is the half to complete it add another 75
so 75+75 = 150
carry on learning
correct me if im wrong
if im right follow me
Solve for angle C please
Answer:
13.3 cm
Step-by-step explanation:
We can use the Pythagoream Theorem to identify any missing angles!
[tex]a^{2} +b^2=c^2[/tex]
In this case, will leave c for a^2!
[tex]a^2+20^2=24^2[/tex]
[tex]a^2+400=576[/tex]
[tex]576-400=a^2[/tex]
[tex]a^2=176[/tex]
[tex]\sqrt{176} = 13.3[/tex]
(2-i)(2+i) please lmk the answer to this question.
Answer:
[tex]5[/tex]
Step-by-step explanation:
[tex](2−i)(2+i)[/tex]
[tex]2(2+i)−i(2+i)\\ 2⋅2+2i−i(2+i) \\2⋅2+2i−i⋅2−ii[/tex]
[tex]4+2i−2i \\ 5+2i−2i \\ 5+0 \\ 5[/tex]
Hope it is helpful...A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?
21 cm
42 cm
оооо
72 cm
108 cm
A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?
Answer:-42 cm
Answer:42cm
Step-by-step explanation:
formula=2l+2w
2 (9)+2 (12)
18+24= 42cm
the mean of three numbers is 8 two of the numbers are 6 and 11 work out the third number
show workibf out
Answer:
7
Step-by-step explanation:
To find the number, first multiply 8 by 3, since that is how you find the mean.
8 x 3 = 24 (total)
x + 6 + 11 = 24
x = 24 - 6 - 11
x = 7
Inverse:
7 + 6 + 11 = 24
Mean = 24/3 = 8
Hope this helps!
On a number line what nomber is 3 units to the left of 3
Answer:
Hello There!!
Step-by-step explanation:
The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]
hope this helps,have a great day!!
~Pinky~
Step-by-step explanation:
7On a number line what nomber is 3 units to the left of 3
which of the following best describes the slope of the line below? pls help asap
Answer:
Step-by-step explanation:
Undefined.
9 cm
7 cm
7 cm
7 cm
The area of one of the bases of the above figure is about 21.2 cm2. The
surface area of the figure is?
A. 273.4 cm2
B. 210.4 cm2
C. 231.4 cm2
D. none of the above
Answer:
d
Step-by-step explanation:
none of the above mhhmm
Answer:
the answer to the question is 231.4 cm^2
Step-by-step explanation:
just got it wrong
PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!! PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ 20 Xp
The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answer: The answer is C.
Step-by-step explanation:
It is definitely not B because the average of the numbers compared to what that shows don't make sense.
The biggest number that you gave us is 34 but on option A, it looks like its 30 or 31. So that's not correct.
Finally, it can't be D because the biggest number shown there is 35 when it actually is 34.
I hope I was able to help!
Good luck and have a great day :)
if the sum of five consecutive even integers is 740 what is the largest value of this
9514 1404 393
Answer:
152
Step-by-step explanation:
The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...
the largest value of the group is 152
_____
The numbers are 144, 146, 148, 150, 152.
The largest number when sum of five consecutive even integers is 740 is 152.
What is consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Example: 1,2,3,4,5,6
1,3,5,7,9,11
2,4,6,8,10,12
Difference between nearer numbers always equal
Given,
There are 5 consecutive even integers.
Then difference between each nearer number is 2
Let the first number be x
Then another 4 numbers be
(x + 2), (x + 4), (x + 6), (x + 8)
Now
According to question
(x + x + 2 + x + 4 + x + 6 + x + 8) = 740
5x = 740 - 20
x = 144
And the highest number is x + 8 = 152
Learn more about Numbers:
https://brainly.com/question/17429689
#SPJ2
Levers are not a problem in the mechanical system. But, if you put two different simple machines that do not cooperate, they will be able to make the question that you need to. T or F
Answer:
True
Step-by-step explanation:
I am assuming that you are asking if two different simple machines that do not cooperate will work or not.
The answer to that is True.
Two things that do not work together will not work together. The two simple machines can not work with each other.
So, the answer is True. Best of Luck!