Answer:
C) x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
Step-by-step explanation:
A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.
Which system of inequalities represent the constraints for this situation? Let x = number of shirts, and let y = number of skirts.
A) x ≤ 0 and y ≤ 0
0.5x + y ≤ 800
x + 1.5y ≤ 500
B) x ≤ 0 and y ≤ 0
0.5x + y ≥ 800
x + 1.5y ≥ 500
C) x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
D) x ≥ 0 and y ≥ 0
0.5x + y ≥ 500
x + 1.5y ≥ 800
number of shirts,x and number of skirts,y must be greater than 0 since it can not be a negative value
x ≥ 0 ; y ≥ 0
Inequality for number of yards
x = 0.5 yards ; y = 1 yard
Total yards = 500
The inequality is
0.5x + y ≤ 500
Inequality for hours of production
x = 1 hour ; y = 1.5 hours
Total available hours for production = 800
The inequality is
x + 1.5y ≤ 800
Therefore, the system of inequalities which represent the constraints for this situation is
x ≥ 0 ; y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
x ≥ 0 and y ≥ 0
0.5x + y ≤ 500
x + 1.5y ≤ 800
When graphed the system shows that the manufacturer should make 200 shirts and 400 skirts for a maximum profit.
Evaluate 2x+6y when x=−45 and y=13. Write your answer as a fraction or mixed number in simplest form.
The value of the expression is
Answer:
2x+6y
-8/5 + 6/3
-24/15 + 30/15 = -6/15 = -2/3
Hope this help's plz Mark brainliest plz plz :)
Plz help me with my math
A) 44
B) -14
C) 96
D) 63
9514 1404 393
Answer:
A) 44
Step-by-step explanation:
The sum of angle measures is 180°
84 + (x+59) +(x +51) = 180
2x +194 = 180 . . . simplify
2x = -14 . . . . . . . . subtract 194
x = -7 . . . . . . . . . . divide by 2
Angle A is ...
x +51 = (-7) +51 = 44 . . . . degrees
∠A = 44°
4 times 1/3 (fraction form) will give brainlest
Answer:
4/3
Step-by-step explanation:
I used a site and my calculator
4 times 1/3 in fraction form is 4/3.
To multiply a whole number by a fraction, we multiply the whole number by the numerator of the fraction and keep the denominator the same.
In this case, we want to multiply 4 by 1/3:
4 × (1/3)
= (4 × 1) / 3
= 4/3
Therefore, 4 times 1/3 in fraction form is 4/3.
To learn more on Fractions click:
https://brainly.com/question/10354322
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The credit remaining on a phone card (in dollars) is a liner function of the total calling time made with the card (in minutes) the remaining credit after 30 minutes of calls is $15.20 of the remaining credit after 46 minutes of the call is $12.64 what is the remaining credit after 54 minutes of calls?
Answer:
$11.36 (11 dollars and 36 cents).
Step-by-step explanation:
This scenario can be written as the linear equation: y = -$0.16x + $20 Where y is the remaining credit, and x is the minutes spend calling.
To find the remaining credit after 54 minutes,
substitute 54 for x and simplify.
So y = -$0.16(54) + $19.60 = -$8.64 + $20.00 =
$20.00 - $8.64 = $11.36.
_________________________
If you want to solve this problem from scratch, first find the constant rate of money by subtracting 30 minutes (time) over $15.20(total) by 46 minutes over $12.64(total).
Just subtract across, and simplify to get the rate, and then apply that rate between the missing total of 54 minutes and the total of $12.64 dollars for 46 minutes. This is because rate = change quantity/change in time. If that rate is constant as it is in this relationship where the quantity is the amount of anything that is dependent on something, in this case it's money.
So subtract (find the difference) to find the pattern of change between these values in respect to time.
15.20/ 30 - 12.64 / 46 = 2.56 / -16 = 1.28 / -8 = 0.64 / -4 = 0.32 / -2 = 0.16 / -1 = -0.16 [This is the rate decrease in money every minute of a call being made or decrease in remaining credit every minute ].
Now since we know the rate, we can solve the missing factor of the problem by multiplying the rate by the change in time to get the change in quantity.
So : 54 - 46 = 8. 8 × 0.16 = 1.28 [This is the change in quantity from 46 to 54 minutes of calling ].
Therefore, $12.64 [remaining credit from 46 minutes ] - $1.28 [the change of credit from 46 minutes to 54] = $11.36 [remaining credit from 54 minutes].
Also in general, Rate = dependent variable / independent variable.
Find all real square roots of 16.
If there is more than one answer, separate them with commas.
If there are none, click on "None".
4
that is the only one
Due to recent demand, Target
is raising the price of a certain video
game by 124%. If the game previous
sold for $25, what is the new price?
Answer:
$31.00
Step-by-step explanation:
124 x 25 = 3100, 3100 divided by 100 = 31.00
Please help me!!!!!!
Answer:
The third one is the correct answer .
Because the x's don't have more than 1 y value .
All the other tables do, which makes those not a function, but since the third one has 1 x value for 1 y value, then it is a function.
Answer:
It's the second to the top one
Step-by-step explanation:
because the positive y numbers correspond to a negative x 2 and vice versa
100000000000000000000000000000000000000000+53624785326348756348927563482564328965342875634289573264
will make brainlies
Answer:
5.3624785e+55
Step-by-step explanation:
Answer:
63624785326348756348927563482564328965342875634289573264
Step-by-step explanation:
plz gib brainly
i need to find the value of x
Answer:
x = [tex]\sqrt{21}[/tex]
Step-by-step explanation:
AC² = AB² + BC²
BC² = 3² + x² = 9 + x²
AB² = 7² + x² = 49 + x²
But AC² = (7 + 3)² = 100
∴ 100 = 49 + x² + 9 + x²
2x² + 58 = 100
x² = 50 - 29 = 21
x = [tex]\sqrt{21}[/tex]
Answer: the answer is the square root of 21.
Step-by-step explanation:
What I did was I just multiplied 7 times 3 and got 21 and that was the answer.
In the figure below, JK=8 and JL = 25. Find KL.
J
K
KL =
X 6
?
Answer:
i dont see anything maybe try uploading it again
Step-by-step explanation:
Answer:
KL = 17Step-by-step explanation:
JK = 8
JL = 25
find KL
JK + KL = JK
8 + KL = 25
KL = 25 - 8
KL = 17
PLEASE I REALLY NEED HELP I WILL GIVE 12 PIONTS FOR THE CORRECT ANSWER
1. Find the slope of a line given the points
below.
(2,8) and (8,20)
Answer:
Slope is 2
Step-by-step explanation:
To find slope
m=y2-y1
---------
x2-x1
m= 20-8
------
8-2
m= 12
---
6
m=2
Answer:
m=2
Step-by-step explanation:
can earn 5 coins
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of
the sweatshirt before tax?
Answer: $24.75
Step-by-step explanation: If you minus $27.50 by 10% percent you can get the answer.
Answer:
$25.00
Step-by-step explanation:
Net Amount (excluding tax) $25.00
Tax (10.0%) $2.50
Gross Amount (including tax) $27.50
in short 10% tax of $25.00 is $27.50.
may someone please tell me the answer
– 6x + 11 = – 7 step by step
First let's add 6x to both sides. We do this because the 6x is negative and by adding 6x to both sides, we are isolating the 11 and we are also making the 6x positive, which makes things easier later.
-6x + 11 = -7
+6x +6x
11 = -7 + 6x
Now let's flip the equation to make it easier to read:
-7 + 6x = 11
And let's add 7 to both sides as we need to isolate the 6x. We are adding 7 because the 7 is negative.
6x = 18
And finally to get the value of x we divide both sides by 6:
x = 3
I hope this helped, and have a great night! :)
If Cade shoots 318 free throw baskets in 4 hours, about how many can he shoot in 7 hours?
Answer:
556.5
Step-by-step explanation:
318 divided by 4
take that number and multiply by 7
Answer:
557
Step-by-step explanation:
318:4=x:7
x=318x7/4
Jessicas family took a 3-hour-and-50-minute trip in a car. they left at 9:30 a.m. what time did Jessica's family arrive?
Answer:
I think the answer is 1:20 Pm
Step-by-step explanation:
Alex bought 8 postcards in 4 days. At this rate, how many postcards would he have after 10 days?
18
80
20
40
Answer:
20
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
What is the range of this graph
Answer:
[0,12]
Step-by-step explanation:
Need help asap plzzzzz
Simplify:
-10(x – 7) – 3x
A. -13x + 70
B. -13x + 3
C. 7x + 7
D. 7x + 10
Answer:
A
Step-by-step explanation:
First, we can FOIL the term "[tex]-10(x-7)[/tex]":
[tex]-10x+70[/tex]
Back into the original equation:
[tex]-10x+70-3x[/tex]
Combine like terms:
[tex]-13x+70[/tex]
Hope this helps!
Answer:
A. -13x + 70
I had this question before.
CAN SOMEONE PLEASE HELP ILL MARK AS BRAINLIST
Answer:
g3,2 h 4,4
Step-by-step explanation:
A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses. 11, 17, 13, 11, 5, 19 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
Answer:
Mean=13
Step-by-step explanation:
Mean = sum of number/ total number
Total number= 6
Number are . 11, 17, 13, 11, 5, 19
Mean=11+17+13+11+5+19/6
=76/6=12.66
Nearest tenth of 12.66=13
What is the slope of the line that passes through the points (-5, 0) and (7, 8) ? Write your answer in simplest form
Answer
two-thirds
Step-by-step explanation:
8 over 1 2simplified is 2 over 3
Write 0.75 as a fraction in simplest form. *
5/6
28/32
21/50
3/4
show work
Answer:
3/4
Step-by-step explanation:
step 1) turn 0.75 into a fraction (0.75 = 75/100)
step 2) find the greatest common factor then divide it
75/100 ÷ 25/25 = 3/4
hope this helps, mark brainliest if im right :)
Janice wants to invest $1,000. Texas Loan & Credit will offer Janice an annual simple interest rate of 6% that is paid upon withdrawal. Pecan & Cedar Savings Bank will offer Janice an interest rate of 3% that is compounded annually. Which Bank will yield better interest earnings after investing $1,000 for 2 years?
Answer:
Texas Loan & Credit will yield better interest earnings after Janice invested $1,000 for 2 years.
The interest earnings will be $120 as against Pecan & Cedar's $60.90.
Explanation:
Texas Loan & Credit:
Simple interest rate = 6%
Janice's Investment = $1,000
Interest earnings = $120 ($1,000 * 6% * 2)
Pecan & Cedar Savings Bank:
Compound interest rate = 3%
Janice's investment = $1,000
Interest earnings = $60.90 ($1,000 * 3%) + ($1,030 * 3%)
In the second year, the interest earnings of $30 are added to the principal to get a new compounded principal of $1,030 on which 3% is also applied.
6 -7- 2 =
Worth 10 points
Answer:
-3
Step-by-step explanation:
Mark me as brainliest
resultado de (+23) – (-34)
Answer:
57
Step-by-step explanation:
23-(-34) = 57
(finge que el -(- es un plus)
Answer:
57
Step-by-step explanation:
if u subtract from a negative it is the same as adding a positive. So instead of 23 - (-34) you should do the equation 23 + 34 which equals 57.
What is the point-slope form of a line that has a slope of 5 and passes through the point (3, –4)?
y – 3 = 5[x – (–4)]
–4 – y1 = 5(3 – x1)
y – (–4) = 3(x – 5)
y – (–4) = 5(x – 3)
Answer:
The answer is: y - (-4)= 5(x-3)
Point slope form is:
y-y1=m(x-x1)
m is your slope. They tell us the slope is 5. They also give you an ordered pair. Substitute this ordered pair into the point slope equation for the x1 and y1 values.
brainlest plz
Step-by-step explanation:
