Answer:
a) The inequality representing the number of cases he can take =
180 + 47c ≤ 2700
b) 53 cases
Step-by-step explanation:
A worker is taking cases of screws on a lift. Each case weighs 47 pounds and the worker weighs 182 pounds. the lift
has a weight limit of 2700 pounds
a) Write an inequality that describes the number of cases he can safely take on each trip.
Let us represent the number of cases as c
hence,
180 + 47 × c ≤ 2700
= 180 + 47c ≤ 2700
b) What is the maximum amount of cases he can take?
The maximum amount of cases he can take =
180 + 47c ≤ 2700
180 + 47c = 2700
Collect like terms
47c = 2700 - 180
47c = 2520
c = 2520/47
c = 53.617021277 cases
c = 53 cases
The maximum number of cases he can carry is 53 cases
The half-life of cesium-137 is 30 years. Suppose we have a 170-mg sample. What is the rate of decay after 150 years? (Round your answer to three decimal places.)
Answer:
5.313mg
Step-by-step explanation:
The half-life of cesium-137 is 30 years. Suppose we have a 170-mg sample. What is the rate of decay after 150 years? (Round your answer to three decimal places.)
Half life formula
= N(t) = No(1/2)^t/t½
N(t) = Amount after t years
No = Initial amount
t = time
t½ = half life
N(t) = 170 (1/2) ^150/30
N(t) = 170 × (1/2)^5
N(t) = 5.3125mg
Approximately the quantity left after t years = 5.313mg
A track team with 12 members decided to buy T-shirts that cost $8.95 each. What was the cost of the 12 T-shirts?
Answer:
Step-by-step explanation:
the cost of the t-shirts was $107.4
Answer: $107.4
Answer: $107.40
Step-by-step explanation:
If you have 12 members that want to buy 1 shirt each then the they would be buying 12 shirts, that mean 12 of the $8.95 shirts.
$8.95 times 12 is $107.40
An easy way you can do that is by putting $8.95 times 10 which if something is times’d by 10 you just as a 0 to the end, ( if it’s a decimal you move the decimal back one) so then it’s $89.5, so now you’ve added 10, but you need to add 12, so you add 2 more $8.95 so $17.90 then add that to $89.5 which equals $107.40
Use intercepts to graph the linear equation. 3x+2Y=12
Answer:
x-int = (4,0)
y-int = (0,6)
Step-by-step explanation:
to find the x intercept put y as 0 and solve for x.
to find the y intercept put x as 0 and solve for y.
Please help I’m failing math♀️
5x+8 ≤ ½(6x-4) . What is the answer
its is the answer by solving it
-1/3u-4=1/4u-1/4
Solve and check
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Answer:
u = -45/7 = -6 3/7
Step-by-step explanation:
It can work well to eliminate fractions first. Here, we can do that by multiplying by the product of their denominators: 12.
-4u -48 = 3u -3
-45 = 7u . . . . . . . . add 3+4u
-45/7 = u . . . . . . divide by the coefficient of u
__
Check
(-1/3)(-45/7) -4 = (1/4)(-45/7) -1/4
15/7 -4 = -45/28 -7/28
-13/7 = -52/28 . . . true
Find the x and y intercepts
Answer:
x-intercept: (8,0) ; y-intercept: (0,4) i hope this works...
Step-by-step explanation:
draw it out on peice of paprer
plz find the value of x (i never paid attention on this!)
2x + 6
Answer:
2(x+3)
Step-by-step explanation:
hope i help you :)
Answer:
X=3
Step-by-step explanation:
3 times 2 is 6.
GIVING BRAINIEST
Explain how u got your answer
Pick from 1. 2. And 3.
Answer:
#2 is not a function
Step-by-step explanation:
Although there can be multiple y-values attributed to a single x-value, there can only be ONE x-value(of a number) in a function, so #2 would be incorrect seeing as it uses the x-value, 2, two times.
The point (-2,5) is rotated 180 degrees about the origin.
What are the coordinates of the image point?
Answer:
(2,-5)
Step-by-step explanation:
can any one please help me :) (will mark brainly)
Answer:
A
Step-by-step explanation:
because 1 and 2 are the same
which graph shows y=2 x - 1/2
Answer:
its B
Step-by-step explanation:
I took the test
Part I -Selected Response For numbers 1a-1c, circle YES or NO for each statement using the table below.
Plz do 1c.
Answer:yes
Step-by-step explanation:
It’s the answe yes
If the price of organic beef steak, regular beef steak, and pork chops each increased by 10%. Which of the products would you think was the most elastic. In other words, which has the most change to the quantity demanded because of the increase in price?
Answer:
organic beef steak
Step-by-step explanation:
Out of the three options provided, the one that would suffer the biggest change in elasticity would be the organic beef steak. This is because out of the three, the organic beef steak is normally the most expensive product. Adding an extra 10% to the regular price would make it that much more expensive and turn many people away from this product. Therefore, causing its demand to drop drastically as price increases. Since the other products are not as expensive/high-end demand may drop a little but not by much.
9 more than 2 multiplied by z
Answer:
9+ 2z
Step-by-step explanation:
what is the value of x in the equation -6 + x = -5?
1. 1
2. 11
3. -1
4. -11
why do i like math .
Answer:
:)
Step-by-step explanation:
Mathematics is fun because there is less to read and understand the theory rather more to solve a problem and finding solution. Most of the people like mathematics because its tricky like magic trick and fun like playing your favorite sport or like playing a video game.
The answer ASAP please
Answer:
i think it is 30/1 but i could be wrong sorry
The slope of this graph is __________ *dont forgetto reduce the fraction if possible
Answer:
y=5/1 x
Step-by-step explanation:
The machine that fills the containers with yogurt fills 1600 containers per hour. How long will it take the machine to fill 144000 containers?
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Answer:
90 hours
Step-by-step explanation:
To find the time, divide the quantity by the rate:
(144,000 containers)/(1,600 containers/hour) = 90 hours
Answer:It would take 90 hours or 3 days with 18 minutes.
Step-by-step explanation:
A circle is the set of all points in a plane that are equidistant from a common point.
Which statements are true about the description? Select three options.
The description is sufficient to describe all cases of a circle.
The description includes only necessary information to describe a circle.
The description is a mathematically precise definition of a circle.
The description does not rely on undefined terms.
The description contains every property of a circle
Answer:
i. The description is sufficient to describe all cases of a circle.
ii. The description includes only necessary information to describe a circle.
iii. The description is a mathematically precise definition of a circle.
Step-by-step explanation:
A circle can be described as a plane shape bounded by circumference. It's circumference can be determined by: 2[tex]\pi[/tex]r, where r is its radius.
Thus, it can be said that it contains equidistant (equal distant) points from a common central point called the center of the circle. This definition can be used to describe any circle.
Some of its parts are: diameter, radius, sector, semicircle etc.
Answer:
A,B,C
Step-by-step explanation:
John has a garden with dimensions 7 feet long x 6 feet wide. He wants to enlarge the garden to an area of 108 square feet. How much farther will he need to extend the length of the garden to attain his desired area?
Answer:
11 feet
Step-by-step explanation:
It is found if originally the length was 7 ft, then it has to be 11 ft longer.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
We have given the initial dimensions are:
length: 7 feet
width: 6 feet
Therefore the area of the garden is given by:
Area = L x W
Area = 7 feet x 6 feet = 42 square feet.
Since we need the area to be 108 square feet , then we can only change the length the width will still be 6ft.
We substitute the value of the new area and the width to the equation for the area as;
Area = L x W
108 = L x 6
L = 108/6
L = 18 feet
The length of the garden for the area to be 108 square feet, must be 18 ft.
This means that if originally the length was 7 ft, now it has to be 11 ft longer.
Learn more about the area;
https://brainly.com/question/1658516
#SPJ6
write the linear equation is standard form
slope is 4/7, and (1, 3) is on the line.
Answer:
4/7x - y = -17/7
Step-by-step explanation:
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
m = 4/7
Random point (1, 3)
Step 2: Find slope-intercept form
y = 4/7x + b
3 = 4/7(1) + b
3 = 4/7 + b
b = 17/7
y = 4/7x + 17/7
Step 3: Find Standard Form
-4/7x + y = 17/7
-(4/7x - y) = 17/7
4/7x - y = -17/7
A mile is equal to approx
1.609 kilometers. How many kilometers is 2.5 miles!
Justify your answers
Answer:
Varied answer. Either 4.0225 km or 4.025 km
Step-by-step explanation:
Process 1: round 1.609 to 1.61, then multiply 1.61 by 2.5. This will give you 4.025 km. You might even go a step further and round it to 4.03 to put it in simplest form
Process 2: Leave 1.609 as is, multiply it by 2.5, giving you 4.0225 as an answer.
It all depends on how your teacher wants you to round to solve the equation.
Please help me, 25 points!!!
Answer:
(-88,3)
Step-by-step explanation:
What Is This?????????????
Answer:
1) c
2)F
3)B
4)J
5)D
6)most = orange and least = watermelon
7)0.2 , 0.25, 0.79, 7/8
8) grapes
9) D
10) F and G
Step-by-step explanation:
Is point (20,15) on line j?
There isn't a graph so we can't solve it. If you don't know how to put an image on a question, click on the paperclip and you can upload a file
Can someone explain how I do this without just giving me an answer
Answer:
Step-by-step explanation:
What f(4) is asking you is what is the value of y when x=4?
The table shows x values and y values.
Answer: f(x) is the same as y. So what this problem is trying to say is that “when y=4, what is x?”
A restaurant built a ramp to make their facility more accessible to people in wheelchairs. They covered the entire surface of the ramp with metal to make it more durable. How much metal did they use to cover the ramp, including the bottom? Give an exact answer (do not round).
Answer:
3.41 m² of metal would be needed to cover the ramp
Step-by-step explanation:
The ramp has the shape of a triangular prism.
A triangular prism is a prism that has two equal triangles as base connected by three lateral faces.
The surface area of a triangular prism is the sum of the area of its base and lateral faces.
The surface area = 2B + PH
Where B is the area of the base , H is the height of the prism and P is the perimeter of the triangular base
Hence:
B = 0.5 * 1 m * 0.8 m = 0.4 m²
h = 1 m
P = 1 m + 0.8 m + 0.81 m = 2.61 m
Surface area = 2 * 0.4 m² + 2.61 m × 1 m = 3.41 m²
3.41 m² of metal would be needed to cover the ramp
Answer:
1.79
Step-by-step explanation:
help me plzzzz. plxz zxlppzlzlz pdpxpd
Answer:
552 miles per hour
Step-by-step explanation:
Speed = distance / time
So, speed = 414 / (3/4)
= 552 miles per hour
P.S. I couldn't answer the other questions cuz your photo is unclear
Answer:
552 miles per hour
Step-by-step explanation:
Speed = distance / time
So, speed = 414 / (3/4)
= 552 miles per hour