Answer: 3×22+c≤85
Step-by-step explanation: i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be greater
Hope this helped
The inequality for the given situation is 66+c ≤ 85.
Given that, Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and 3 azaleas. The azaleas cost $22 each.
What is inequality?In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Let c be the cost for a salvia.
Three azaleas + A salvia ≤ 85
3×22+c ≤ 85
⇒ 66+c ≤ 85
Therefore, the inequality for the given situation is 66+c ≤ 85.
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Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let
x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
Required:
Using the decision variables x4 and s4, write a constraint that sets next week.
Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
Step-by-step explanation:
The cost for the four cylinder production line is [tex]C_4 = \$2,100[/tex]
The cost for the six cylinder production line is [tex]C_6 = \$3,500[/tex]
The manufacturing cost for each four cylinder is [tex]M_4= \$13[/tex]
The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]
The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]
The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
5 2/5 is ___ 3 1/2, is it greater than or less than
Answer:
5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2
Step-by-step explanation:
Answer:
I believe that 5 2/5 is greater than 3 1/2
How many times greater is the product of 4 x 300 than the product 4 x 30
Answer:
10 times bigger
Step-by-step explanation:
because if you do 4 times 300 thats 1200
and if you do 4 times 30 then you get 120
and 120 times 10 is 1200 so there you go.
HOPED THIS HELPED!!!!!!!!! :D
45.52
The attendance at a seminar in year 1 was 500. In Year 2, the attendance changed by 100. What was the percent chang
in attendance?
O The percent change was 0.2%.
O The percent change was 0.4%.
O The percent change was 20%.
O The percent change was 40%.
Save and Exit
Next
Submit
Marke this and tu
Answer:
20%
Step-by-step explanation:
[tex]percent change = \frac{difference}{original value} * 100[/tex]
[tex]= \frac{100}{500} * 100\\= 20[/tex]
Help APSPPP!!!!!!!!!!!!
Answer:
ok what u need help with
Step-by-step explanation:
With the money she had saved by working, Jennifer wanted
Answer:a car
Step-by-step explanation:
SOMEONE PLEASE PLEASE HELP!!!!
Answer:
49[tex]\sqrt{21}[/tex]
Step-by-step explanation:
You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well
Answer: 49 √3 or 84.87049
Step-by-step explanation:
To show that the triangles are congruent, triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZY
a rotation of 180° clockwise about the origin followed by a dilation of 1.2 with the center of dilation at the origin
a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units
a rotation of 270° clockwise about the origin followed by translations left 1 unit and up 10 units
a reflection over the x-axis followed by a reflection over the y-axis
Answer:
a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units
Step-by-step explanation:
Rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
We have to show that triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZ.
Rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
So if triangle ABC is rotated about 90 degrees clockwise about the origin followed by translated down 1 unit and left 10 units we get XYZ.
Hence, rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.
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What is the y intercept of the line in the graph shown?
The equation of the line is y=__x__
!! QUICK WILL MARK BRAINLIEST !!
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?
Answer: 30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
Which point lies on the line -x+4y=-3
Answer:
3x+4y
gyhhuhyyb buhhujnjjijnjijhu
) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex] for P > 0.2S
Q = 0 for P < 0.2S
[tex]S = \dfrac{1000}{CN}-10[/tex]
where:
curve number CN = 80
[tex]S = \dfrac{1000}{80}-10[/tex]
S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]
[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]
[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]
[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]
[tex]Q = \dfrac{(56.25)}{(10)}[/tex]
Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
Which measure is equivalent to 126 in.?
1 ft = 12 in.
1 yd = 3 ft
Answer:
3.5 yd is your answer
Step-by-step explanation:
First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.
Divide the amount of inches you have with 12.
126/12 = 10.5
Next, solve for yards. It is given to you that 1 yard = 3 feet.
Divide the amount of feet you have with 3.
10.5/3 = 3.5
3.5 yd is your answer
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
help plz brainless you help me
Answer:
24.85 or rounded to 24.9
Step-by-step explanation:
Conversion
K H D____D C M
The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Calculation of the number of miles:Since
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.
And we know that
1 mile ≈ 1.6 kilometers
So,
[tex]= 40 \div 1.6[/tex]
= 25 miles
hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
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what is the constant in 15-8y
Answer:
15
Step-by-step explanation:
15 doesn’t have variable next to it
8 would be a coefficient
What are the domain and range of f (x)= -27
Answer:
Domain: (-∞,∞)
Range: {−27}
PLEASE HELP WORTH 40 POINTS FOR WHOEVER ANSWERS CORRECTLY!!!! PLEASE HELP
1. Refer to the equation 3x − 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair and validated the points were on the line.
Answer:
x = 1 ⇔ y = -2.4
x = 2 ⇔ y = -1.8
x = 3 ⇔ y = -1.2
x = 4 ⇔ y = -0.6
Step-by-step explanation:
[tex]3x-5y=15[/tex]
→ Rearrange to make y the subject
[tex]-5y=-3x+15[/tex]
→ Multiply everything by -1
[tex]5y=3x-15[/tex]
→ Divide everything by 5
[tex]y=0.6x-3[/tex]
⇒ Substitute x = 1, 2, 3 and 4
[tex]y=0.6x-3\\ y=(0.6*1)-3\\ y=0.6-3\\ y=-2.4\\(1,-2.4)[/tex]
[tex]y=0.6x-3\\ y=(0.6*2)-3\\ y=1.2-3\\ y=-1.8\\(2,-1.8)[/tex]
[tex]y=0.6x-3\\ y=(0.6*3)-3\\ y=1.8-3\\ y=-1.2\\(3,-1.2)[/tex]
[tex]y=0.6x-3\\ y=(0.6*4)-3\\ y=2.4-3\\ y=-0.6\\(4,-0.6)[/tex]
HELP ME PLEASE IM ALMOST TO 100
Answer:
= 3/4
Step-by-step explanation:
Find 2 points on the graph
(2,3) and (6,6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-3)/(6-2)
= 3/4
Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.
Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.
To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.
To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.
Each package contained 12 pencils.
Hope this helps
Hey now please just anser if itnus a try i will still give 5 stars. THE Question is what is the most easy way to SOLVE THE NINES TABLE IK THIS BUT I WANT to see who else knows sorry fir the big ketters i did not means to put that
Answer:
Tbh, I think the easiest way is to count on your fingers. I still do it, however I can now do my chart tables to 17x17 by using fingers. People may tease, however, it is a good way to make sure you do not mess up as much as memorizing. You should memorize, and count on your fingers at the same time to solve extremely fast.
Step-by-step explanation:
9x4
You can pretend that your thumb equals nine, and count 9 plus 9 plus 9 plus 9, with each other finger, such as your ring finger, pointer, middle, and pinky , which equals 36. 5x9, you have five fingers on each hand, so each finger can equal nine (I don't care if people say that your thumb isn't a finger, just take it and move on lol).
Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10
Answer:
C
Step-by-step explanation:
Commutative property means to add in a different order.
A lot contains 12 items, and 4 are defective. If three items are drawn at random from the lot, what is the probability they are not
defective?
Answer:
ur nan
Step-by-step explanation:
An item has a listed price of $80. If the sales tax rate is 8%, how much is the sales tax (in dollars)?
Answer:
$6.40
Step-by-step explanation:
u have to multiply 80 by 0.08 (tax percent in decimal form)
Answer:
$6.4
Step-by-step explanation:
all you have to do is find 8% of 80 by doing 8x8, which equals 64, then dividing by 10. That gives you 6.4. Then check it on a calculator to make sure you did it correctly
Factorise 6x squares minus 14x
What are the partial products that result from multiplying 15 x 32? (____ x ____) + (____ x ___) + (____ x ____) + (____ x ____)
Dividing both into this (15 x 32) below.
15=10+5
32=30+2 and both of the equations will give you the result of 4 partial products.
10x30=300
5x30=150
10x2=20
5x2=10
Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?
Answer:
I think its 3/2
hope it will help you
can someone help me i don’t get this at all !!!! OLEASEEE
Answer:
A
Step-by-step explanation:
not enough info
If lim f(x)=5 g(x)=0 and h(x)=-2 then find (3h/2f+g)(x)
Answer:
B
Step-by-step explanation:
edg 2021 unit test review
choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4
y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7
Answer:
y = 4x +11Step-by-step explanation:
[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]
Substitute values into point slope form
[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]
Collect like terms and simplify
[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]
Answer:
y=4x + 11
Step-by-step explanation:
y = mx + b
y = 4x + b
-1= 4(-3) + b
b= 11
y= 4x + 11
The expression 34−10+3+2=78 is an example of
Answer: simplifying expression
Step-by-step explanation: