23=d+q, d=23-q
350=10d+25q, using d from above
350=10(23-q)+25q
350=230-10q+25q
120=15q
q=120/15
q=8, and since d=23-q
d=23-8=15
So there are 15 dimes and 8 quarters
A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.
Answer:
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Step-by-step explanation:
As given ,
Windbreakers Rain breakers Total
Finishing time 59 min 58 min 61 hr
Packaging time 21 min 34 min 68 hr
Profit 28 41
Let
The number of windbreaker jackets they should produce = x
The number of rain breaker jackets they should produce = y
As given,
The company wants to maximize profit.
⇒ Maximum Profit , p = 28x + 41 y
Now,
As 1 hour = 60 min
⇒61 hours = 61×60 = 3660 min
and 67 hours = 67×60 = 4020 min
∴ we get
The equations become
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
So, the Linear Programming Problem (LPP) for this problem is -
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Suppose a game uses a spinner that has four possible outcomes: 1, 2, 3, and 4. What outcomes make up the complementary event of getting "2 or greater" on this spinner?
Answer:
Outcome of complementary event of getting "2 or greater" on the spinner = {1}
Step-by-step explanation:
Let A be an event of getting '' 2 or greater ''
The complementary event of A be = A' = getting ''less than 2 ''
Now,
The Sample space S = { 1, 2, 3, 4 }
Outcome of A' = { 1 }
∴ we get
Outcome of complementary event of getting "2 or greater" on the spinner = {1}
Can you guys help me and answer this math question below please I’ll mark brainliest to whoever answers
Answer:
Your answer will be (2,4) :)
Tell whether the given value is a solution of the inequality.
-3/7m < 1; m= -7
Step-by-step explanation:
NO not an answer
-3/7m<1
-3m<7
m > - 7/3
Simplify the following expression (8x10³) ²=
Answer:
Step-by-step explanation:
Since it is multiplication inside the parentheses, you can distribute the exponent.
8^2 = 64
(10^3)^2 = 10^6
64 x 10^6 = 6.4 x 10^7
What is an
equation of the line that passes through the points (-5, 8) and
(5,0)?
Answer:
y=4/5x-4
Step-by-step explanation:
use formulas (y2-y1)/(x2-x1) and y=mx+b
slope (y2-y1)/(x2-x1):
(8-0)/(5-(-5))
=8/10
=4/5
equation (y=mx+b):
0=4/5(5)+b
0=4+b
b=-4
y=-2y-4 and y=1/2x-5
solve by systems of equations
pls help I need help ALL I NEED IS THE WORK PLSSSS HELP
Answer:
1. Y = -4/3
2. 2x = 2y + 10
Step-by-step explanation:
1. y =− 2y − 4
Step 1: Add 2y to both sides.
y + 2y = −2y − 4 + 2y
3y = −4
Step 2: Divide both sides by 3.
3y/3 = -4/3
y = -4/3
2. solve for x
y=1/2x-5
Step 1: Flip the equation.
1/2x−5=y
Step 2: Add 5 to both sides.
1/2x−5+5=y+5
1/2x=y+5
Step 3: Divide both sides by 1/2.
1/2x/1/2=y+5/1/2
x=2y+10
not sure if this will help but here you go :)
The following exchange rate is given: £1 = 1.33 dollars. Convert £8 into dollars.
If £1 = $1.33, £8 is $10.64.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
£1 = $1.33
Multiply 8 on both sides.
£8 = 8 x $1.33
£8 = $10.64
Thus,
£8 is $10.64
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ2
Which equation represents the function graphed on the
coordinate plane?
O g(x) = x + 1 + 3
O g(x) = x + 3 - 1
O g(x) = |x-1| + 3
O g(x) = x + 3 + 1
Answer:
it is the third option of g(x)=|x-1|+3x-1
the way I look at this is by visualizing the translations using the parent function of f(x)=|x|
the function moved up three and to the right by one which led to my conclusion
The equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the equation that represents the function graphed on the coordinate plane.
The parent function for the given function is -
y = |x|
The function rule for transformation can be written as -
(x, y) : (x - 1, y + 3)
So, we can write the function after transformation as -
y = |x - 1| + 3
Therefore, the equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
To solve more questions on functions, visit the link below-
brainly.com/question/30194223
#SPJ7
A maintenance technician sights the top of a telephone pole at a 25° angle of elevation as shown. Technician Telephone Pole Determine the horizontal distance between the technician and the base of the telephone pole to the nearest tenth of a foot. Enter your answer in the box.
Answer:
[tex]x = 375.3[/tex]
Step-by-step explanation:
Given
See attachment for illustration
Required
Determine the horizontal distance
The horizontal distance is the distance between the technician and the base of the pole.
Represent this with x.
The relationship between x, 175ft and 25 degrees is represented as:
[tex]tan(25^{\circ}) = \frac{175}{x}[/tex] --- i.e. tan formula
Multiply both sides by x
[tex]x * tan(25^{\circ}) = \frac{175}{x} * x[/tex]
[tex]x * tan(25^{\circ}) = 175[/tex]
Make x the subject
[tex]x = \frac{175}{tan(25^{\circ})}[/tex]
[tex]x = \frac{175}{0.4663}[/tex]
[tex]x = 375.294874544[/tex]
[tex]x = 375.3[/tex] --- approximated
The distance is approximately 375.3ft
PLEASE HELP ASAP - WILL GIVE BRAINLIEST TO BEST ANSWER
Solve is for solving the answer, and check is for checking your work. Is it alright if anybody could solve it before an hour?
Answer:
1. x = 6 check: 3 * 6 = 18
2. x = -12 check: -12/3 = -4
3. x = 11 check: 11 * 11 = 121
4. y = -4 check: -8 * -4 = 32
Step-by-step explanation:
1. x=6 ( 3×6=18)
2. x = -12 (-12÷3 = -4)
3. x=11 (11×11=121)
4 y=-4 (-8 × -4 = 32)
How do you solve this?
solve each equation for given variable
-5i -15 = 15
Answer:
i= -6
Step-by-step explanation:
-5i-15=15
if we use inverse operation here, it would be -5i=30, so i= -6
Reflect (4,3) across the x-axis. Then reflect the result across the y-axis. What are the coordinates of the final point
Answer: (-4,-3)
Step-by-step explanation:
(4,3) quadrant 1
(-4,3)quadrant 2 wasn't used in this
(4,-3) quadrant 3
(-4,-3)Quadrant 4
just trust me and I don't know how this is
college homework lol but okay
Reflection involves mirroring a point over a line. When (4,3) is reflected across the x and y axes, the final point is (-4,-3)
Given that
[tex](x,y) = (4,3)[/tex]
The rule of reflection across the x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](4,3) \to (4,-3)[/tex]
The rule of reflection across the y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex](4,-3) \to (-4,-3)[/tex]
Hence, the final point of (4,3) is (-4,-3)
Read more about reflections at:
https://brainly.com/question/17983440
NAME DATE PERIOD 5-6 Practice 1 2 3 4 Probability and Odds Find the probability of each outcome if a pair of dice are rolled. Refer to the table below, which shows all of the possible outcomes when you roll a pair of dice. 4 5 6 (1, 1) (1, 2) (1, 3) (1. 4) (1,5) (1,6) 2 (2, 1) (2.2) (2, 3) (2, 4) (2,5) (2, 6) 3 (3, 1) (3, 2) (3, 3) (3, 4) (3,5) (3,6) 4 (4, 1) (4, 2) (4.3) (4, 4) (4, 5) (4, 6) 5 (5, 1) (5, 2) (5, 3) (5, 4) (5,5) (5, 6) 6 (6, 1) (6.2) (6.3) (6,4) (6,5) (6, 6) 1 36 1. ap h number on the second die . 2. a sum of 8 18 - ä 25 26 3. a sum of 7 4. load sum 5. a sum less than 6 6. a sum greater than 7 7. both die are the same number 8. a sum less than 2 0136 Find the odds of each outcome if a bag contains tīblue marbles, 3 yellow marbles, and 2 red marbles. 9. choosing a blue marble 10. choosing a red marble 7:5 11. choosing a yellow marble 1:5 5:7 12. choosing a yellow or red marble 5.7 13. choosing a yellow or blue marble 14. choosing a blue or red marble 15. not choosing a blue or red marble 16. not choosing a blue marble 5:7 222 Algebra: Concepts and Applications © Glencoe/McGraw-Hill
Answer: Link to answer below
Step-by-step explanation:
Question -3+13x=9.
Explain the steps of how you would find the value of x.
What is the value of x?
How do you know that your answer is correct? How can you prove that?
Answer:
-3+13x=9.
13x=9+3
13x=12
x=12/13
i proved it by putting value of x in reactant side you get product .
-3+13×12/13=9
Answer:
x = 12/13
Step-by-step explanation:
-3 + 13x = 9
Adding 3 to both sides,
13x = 12
Dividing both sides by 13,
x = 12/13
We can prove it by putting the value of x we got in the given equation:
LHS = -3 + 13x
= -3 + 13 (12/13)
= -3 + 12
= 9 = RHS
Hence, proved.
Hope it helps :)
Please mark my answer as the brainliest
(4 x -9–2)
27 – 3x1x17
Answer:
(36-2)27-3*1*17
-38*27-3*1*17
-1077
HELP!!!!1 100 POINTS TO HOWEVER ANSWERS AND BRAINLIST!!!!!
Given f(x) = −2(x + 3) 2 − 1 a. Find the vertex: ___________________ b. Find the axis of symmetry: ________________ c. Parabola opens up or down (circle one) d. Find the value of a in the equation. ____________ e. The parabola has a maximum or a minimum (circle one) ____________
Answer:
C
Step-by-step explanation:
The weights of the first six draft picks for a football team from a recent year are given in the table below.
Player
Weight (in pounds)
314
250
180
250
279
187
What is their average weight?
Answer:
314+250+180+250+279+187=1460
1460/6= 243 1/3
Step-by-step explanation:
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 75°. Find m∠Y.
m∠s + m∠y = 90
m∠s = 90 - m∠y
m∠s= 2(m∠y) - 75
90 - m∠y = 2 m∠y -75
90 + 75 = 3 (m∠y)
165 = 3 (m∠y)
55= m∠y
In a correlational study, ____.
A. one variable is measured and two groups are compared
B. two variables are measured and two groups are compared
C. one variable is measured and there is only one group of participants
D. two variables are measured and there is only one group of participants
Answer:
Option B, two variables are measured and two groups are compared
Step-by-step explanation:
In a correlation study relationship between two variable is established.
The two variables represents two group.
For instance correlation study is conducted to determine the relationship between two variables X and Y
X and Y are variable
While X represents the group "number of cars passing through a lane"
Y represents the group "width of the road".
Hence, Option B is correct
What’s the answer please help.
Step-by-step explanation:
Top left:
Fraction: 6/10
Decimal: .6
Percent: 60%
Top right:
Fraction: 3/8
Decimal: .375
Percent: 37.5%
Bottom left:
Fraction: 1/4
Decimal: .25
Percent: 25%
Bottom right:
Fraction: 3/5
Decimal: .60
Percent: 60%
If f(x) = 9x-8, which of the following is the inverse of f(x)?
O A. f'(x) = *19
O B. f'(x) = x;
O c. f-'(x) = 48
X-9
O D. f-1(x) =
8
At the last census, 20% of the people in a town were less than 16 years old, 20% were 16-30, 25% were 31-45, 15% were 46-60, and 20% were over 60. To test to see if the age strucutre of the town has changed a random sample of of 200 residents of the town yields the following results:
Age: <16 16-30 31-45 46-60 >60
Observed Frequency 30 31 37 50 52
Test to see if the age structure has changed (using the 5% level of significance).
Answer:
kk
Step-by-step explanation:
20% of what number is 8
Answer:
40
Step-by-step explanation:
part %
------- = ----------
whole 100
8 20
--- = ---
? 100
8*100/20
40
Answer: 40
Step-by-step explain:
40
10. Carl wants to buy a television that costs $400,
including taxes. To pay for the television, he will use
a payment plan that requires him to make a down
payment of $150, and then pay $70.50 each month
for 6 months. What is the percent increase from the
original cost of the television to the cost of the
television using the payment plan?
Calculate the total he will pay:
70.50 x 6 months = 423
423 + 150 = 573
He pays a total of 573
Find the difference from what he pays to what the actual price was:
573 - 400 = 173
Divide the difference by the actual price:
173 / 400 = 0.4325
Multiply by 100:
0.4325 x 100 = 43.25% increase
James plans to eat cereal in a bowl that is 6 14 inches long, 6 110 inches wide, and 3 15 inches high. What is the total amount of milk needed to fill 50% the bowl?
You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?
Answer:
16
Step-by-step explanation:
50 - 16 = 34
34 / 2 = 17
34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.
Quick check:
34 + 16 = 50
Hope this helps!
a person is raising money to go on the marching bands spring tour. He needs to raise $500 so far he has raised $320. What percent of his goal has he attained?
Answer:
Step-by-step explanation:
500-320 = 180
The graph of y=f(x) is graphed below. What is the end behavior of f(x)?