This requires finding the number of small sweaters the company made last week
Number of small sweaters the company produced last week is 372
Total sweaters made = 1,612
Let
Small sweaters = 3x
Medium sweaters = x
Large sweaters = 3(3x) = 9x
Total = small + medium + large
1,612 = 3x + x + 9x
1612 = 13x
Divide by 13
x = 1612/13
Medium sweaters = x = 124
Small sweaters = 3x
= 3(124)
= 372
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Use the distributive property to simplify
the equation below.
с
8(2a + 4b - c)
[? ]a + [ ]b - [
[ ]
Answer:
16a +32b - 8c
Step-by-step explanation:
8(2a + 4b - c)
Distribute
8*2a + 8*4b+ 8*(-c)
16a +32b - 8c
Answer:
16a + 32b - 8c
Step-by-step explanation:
You bring 8 inside the parenthesis and then multiply it with everything. so for a you put 16, b you put 32 and c you put 8
What happens to the median of the data set
{2, 4, 5, 6, 8, 2, 5, 6} if the number 10 is added to the data set?
A. The median does not change.
B. The median increases by 2.
C. The median decreases by 0.25.
D. The median increases by 1.
Answer:
A. The median does not change.
Step-by-step explanation:
Original data set,
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8
Median is the middle number
2,2, 4, 5, 5, 6,6, 8
It is between the two 5's
(5+5)/2 = 10/2 = 5
New data set
Put the numbers in order from smallest to largest
2,2, 4, 5, 5, 6,6, 8,10
Median is the middle number
2,2, 4, 5, 5, 6,6, 8,10
The middle number is 5
Answer:
The answer is A
Step-by-step explanation:
If a line has a slope of -2 and goes through the point (1,-3) then the equation for the line in slope-intercept form is what?
Answer:
y=-2x-1
Step-by-step explanation:
The slope is - 2. The equation is y=-2x-1
What is the solution for this equation?
by – 12) = 21
O {9, 33)
O {-9, 33}
O {-33, -9}
O {-33, 9}
Sol-1
[tex]\\ \sf\longmapsto |y-12|=21[/tex]
[tex]\\ \sf\longmapsto y+12=21[/tex]
[tex]\\ \sf\longmapsto y=21-12[/tex]
[tex]\\ \sf\longmapsto y=9[/tex]
Sol:-2
[tex]\\ \sf\longmapsto y-12=21[/tex]
[tex]\\ \sf\longmapsto y=21+12[/tex]
[tex]\\ \sf\longmapsto y=33[/tex]
If f(x) = 4x + 3 and g(x) = 22 – 3, then f(g(4)) = ???
Answer:
f(g(4))=79
Step-by-step explanation:
given:
f(x) = 4x + 3
g(x) = 22 – 3
g(x) = 19
the x in parentheses represents x's value. if it is just x then example f(x)=3x would be 3x. if f(x) was f(2)=3x, then x would be 2 and f(2)=3x would be 3*2=6
f(g(4))
first solve g(4)
g(x) = 19
g(4)=19 because there are no x
then substitute
f(g(4))
f(19)
f(19) = 4x + 3
all x become 19
f(19) = 4(19) + 3
=76+3
=79
hope this helps.
Need the answer explained
Answer:
it's very simple maybe it's in ur book?
solve the following inequality -1≤d+2/5≤6∕5
Answer:
-7/5≤d≤4∕5
Step-by-step explanation:
-1≤d+2/5≤6∕5
Subtract 2/5 from all parts
-1-2/5≤d+2/5-2/5≤6∕5-2/5
-5/5-2/5≤d+≤4∕5
-7/5≤d≤4∕5
¿Cuál es el volumen de un cubo de 10 cm de lado?
Answer: 1,000 cm^3
Step-by-step explanation:
10*10*10=1,000 cm^3
relationship between the two number
b 70.908
7.908
Which one is greater
Answer:
70.908 is greater than 7.908 .
I hope your day goes nice
Answer:
70.9 0 8 is Greaterboth are different because of different placement of point.
1 What is the product of 2r^2- 5 and 3r
Answer:
Step-by-step explanation:
3r(2r^2 - 5)
6r^(2 + 1) - 5*3r
6r^3 - 15r
Question:
9 1/8 + 4 5/6=?
How do I graph x+3y≥12?
Complete the equation of this circle:
pleaseee helpp
Answer:
(x – 3)^2+ (y – 2)^2 = r^2
Step-by-step explanation:
The co-ordinates of the center=(3,2)
The formula for the equation of a circle is (x – h)^2+ (y – k)^2 = r^2,
(h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
Therefore, (x – h)^2+ (y – k)^2 = r^2
=(x – 3)^2+ (y – 2)^2 = r^2
You can find r^2the equation.
Mindy cheers at 16 regular season football games each year. She cheers for a total of 58.35 minutes each game. If her teams make the playoffs, she will cheer at each game for 59.15 minutes. How many total minutes will mindy cheer if she cheers at all regular season games and two playoff games?
Answer:
1051.9 minutes
Step-by-step explanation:
16 games at 58.35 minutes =
16* 58.35 =933.6 minutes
2 playoffs at 59.15
2 * 59.15 = 118.3 minutes
Add them together
933.6+118.3 =1051.9 minutes
Answer:
the answer is 1051.9 minutes
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
I need assistance urgent
can someone help me, please?
Answer:
0
2
-1
Step-by-step explanation:
from f(0) we find that
y = mx - 1
from f(-1) we find that the equation is
y = -3x - 1
1)
inverse f(x) :
x = -3y - 1
y = -(x + 1) / 3 x = -1
y = -(-1 + 1) / 3
y = 0
2)
y also equal to 0 since x = -1
3)
f^-1(2) = -(2+1) / 3
= -3/3
= -1
f(-1) = 2
Which of the following show the factored equivalent of
f(x) = (2x^2 +7x + 3)(x - 3) and its zeros?
Answer:
the answer is "D"
(2x+1)(x+3)(x-3) //// -3,-.5,3
Step-by-step explanation:
Factored Form: y= (2x+1)(x+3)(x-3)
Answer:
D
Step-by-step explanation:
[tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex] is factored into: [tex]f(x)= (2x+1)(x+3)(x-3)[/tex]
That takes out the choices B and C.
The roots are -0.5, 3, and -3.
Therefore, the answer is D.
I hope this helps!
pls ❤ and mark brainliest pls!
A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37-m.
. Find the length of the shadow.
Answer:
[tex]\sqrt{280}[/tex] = 2[tex]\sqrt{70}[/tex]
37^2 = 1369
33^2 =1089
1369-1089 = 280
Step-by-step explanation:
Write the equation for each question:
9. the sum of 5 and four times a number is 32
10. four less than the square of a number is 12
11. The product of 3 and four more than a number is 20
Marking Brainliest
Step-by-step explanation:
9) let number=x
Four times a number=4x
Condition:
4x+5=32
10) square of number=x²
Condition:
x²-4=12
11)
Condition:
3(x+4)=20
Note:if you need to know any question please let me know.
A computer is priced at $2,000. If the sales tax rate is 7.5%, find the total cost of the
computer?
9514 1404 393
Answer:
$2150
Step-by-step explanation:
The tax is 7.5% of the price, so is ...
$2000 × 0.075 = $150
The total cost is the price with tax added:
$2000 +150 = $2150
Shane plants a 6-inch tomato plant in his garden. The plant grows by about 12% per week for several months. Which function definition represents the height of the tomato plant (in inches) as a function of the number of weeks, t since the tomato plant was planted?
Answer:
[tex]f(t)=6(1.12^t)[/tex]
Step-by-step explanation:
every week the plant grows by 12%, so the ratio is 1.12. the original height of the plant is 6. f(x)=a(b^x) such that a=6, b=1.12, and x=t
An employee works 22 days per month if they work an average of 8 and a quarter hours per day how many hours do they work per month
Answer:
181 1/2 hours a month.
Step-by-step explanation:
You multiply the days per month=22
By the hours they work per day=8 1/4
(Optional) You turn 1/4 into .25
Then: 22 × 8.25= 181.5/181 1/2
I hope this answer helps you out. Brainliest would be appreciated. Have a very nice day/night.
Find the equation of the line that is parallel to f(x) and goes through point (-1,7).
Answer:
y=(3/7)*x+52/7
Step-by-step explanation:
The slope of the line will be (3/7). The equation of line will be y=(3/7)*x+52/7
find the missing side round to the nearest tenth
Answer:
[tex]cos49 = \frac{26}{x} \\ x = 39.6305[/tex]
The sum of 7 and 3 times a number is 34.
What is the number?
Answer:
9
Step-by-step explanation:
Let the unknown number be x
Sum means add
7 + 3x = 34
Subtract 7 from each side
7+3x-7 = 34-7
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.
a) Conduct the appropriate hypothesis test using a 0.1 level of significance.
b) What is the test statistic? Give your answer to four decimal places.
c) What is the P-value for the test? Give your answer to four decimal places.
d) What is the appropriate conclusion?
i. Fail to reject the claim that the mean amount per bin is 50 pounds because the P-value is larger than 0.1.
ii. Fail to reject the claim that the mean amount per bin is 50 pounds because the P-value is smaller than 0.1.
iii. Reject the claim that the mean amount per bin is 50 pounds because the P-value is larger than 0.1.
iv. Reject the claim that the mean amount per bin is 50 pounds because the P-value is smaller than 0.1.
Answer:
Step-by-step explanation:
99% =2.58
xbar / Point Est. 50.67
µ 50
σ 3.9
n 36
Confidence Interval
50-> (48.9,52.44) -> Fail to Reject H0
Test Statistic 1.0308
P-Value 0.1549
The acute angle of the right angle triangle are in the ratio of 4:5
Answer:
Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.
Step-by-step explanation:
hope it helps.
Answer:
40and50
Step-by-step explanation:
let the acute angles be 4x and 5x then,
4x+5x+90=180 [sum of all angles of a right angled triangle]
or,9x=180-90
or,x=90/9
x=10
4x=4×10=40
5x=5×10=50
Three research departments have 6, 9,
and 7 members, respectively. Each
department is to select a delegate
and an alternate to represent the
department at a conference. In how
many ways can this be done?
Answer:
I don't know because I don't understand what you mean
.2333 repeating as a fraction
Answer and Step-by-step explanation:
0.2333...
First, multiply the number by 10 (because there is 1 number being repeated.
2.333.....
Now subtract by the original number.
2.333...
- 0.2333...
2.10
Write this as an equation:
(10 x fraction) - fraction = 2.1 (10 x fraction) - fraction = 9 x fraction
9 x fraction = 2.1 (Divide both sides by 9)
[tex]\frac{2.1}{9}[/tex] = [tex]\frac{7}{30}[/tex]
[tex]\frac{7}{30}[/tex] is the answer.
(To check, do 7 divided by 30 in a calculator, and you will get 0.233 repeating)
#teamtrees #PAW (Plant And Water)
I hope this helps!
It’s time so please ASAP
Which expression is equivalent to the following complex fraction
3
-4
X-1
2-
2
X-1
금
O
2(x-2)
-4x+7
-4x+7
O 2(x-2)
-4x+7
2(x2-2)
21x²-2)
-4x+7
Answer:
B
Step-by-step explanation:
The answer can be obtained by simplifying the whole fraction
