a) 17.5a + 15.5p = t
b) Total mass of the shipment is 1195.5kg
Step-by-step explanation:
Mass of 1 box of apple= 17.5kg
Mass of 1 box of pears = 15.5kg
a) expression for getting total mass:
Let the no. of boxes of apple be 'a'
Let the no. of boxes of pears be 'p'
Let the total mass be 't'
17.5a + 15.5p = t
b) a = 32
p = 41
17.5a + 15.5p = t
17.5(32) + 15.5(41) = t
560 + 635.5 =t
1195.5 = t
Total mass of the shipment is 1195.5kg
Which line is a trend line for the data?
Answer:
i dont know which line is it you tell me man
Step-by-step explanation:
yes so cool
Olivia is putting decorations around a picture frame
Answer:
Olivia can decorate 88 inches squared.
Step-by-step explanation:
First, 14*8=112in^2
Next,6*4=24in^2
Lastly,112-24=88in^2
So, the answer is 88 inches squared
Explain how to write an equation when given a
description of a mathematical problem or real-world scenario
PLEASE HELP!!!!
Answer:
Find key words
Step-by-step explanation:
The first part is to find your key words like each or more than one of that will normally be you variable. Then your numbers follow the variable. If its comparing 2 things more than likely you will need and equal sign.
Hope this helped!
Answer:
Say you are wanting to build a patio in your back yard but you want to know how much space you'll have let over. You need to find the area of your back yard and then see how big your patio is going to be. So you find the area of you patio and substrate it from the area of the back yard.
Step-by-step explanation:
Lemme know if you need more details
John drove from station A to station B a distance of 224 miles. On his way back, he increased his speed by 10 mph. If the journey back took him 24 minutes less, what was his original speed?
Answer: 70 mph
Step-by-step explanation:
224/x =224/x+10 +24/60
Solve equation
John's original speed was 70 mph.
Let's denote John's original speed as v (in mph).
The time taken for the first journey is 224 / v (hours).
His speed on the return trip is v + 10 mph.
The time taken for the return journey is 224 / (v + 10) (hours).
The time difference between the two journeys is 24 minutes, which is 24/60 = 0.4 hours.
Therefore, we set up the following equation:
224 / v - 224 / (v + 10) = 0.4
To solve this, we find a common denominator and solve for v:
224(v + 10) - 224v = 0.4v(v + 10)
2240 = 0.4[tex]v^2[/tex] + 4v
0.4[tex]v^2[/tex]+ 4v - 2240 = 0
Multiply by 10:
4[tex]v^2[/tex]+ 40v - 22400 = 0
Divide by 4:
[tex]v^2[/tex] + 10v - 5600 = 0
We solve this quadratic equation using the quadratic formula v = [-b ± √(b² - 4ac)] / 2a where a = 1, b = 10, and c = -5600:
v = [-10 ± √(10² - 4*1*(-5600))] / 2
v = [-10 ± √(100 + 22400)] / 2
v = [-10 ± √(22500)] / 2
v = [-10 ± 150] / 2
The possible solutions are:
v = (140 / 2) = 70 mph
v = (-160 / 2) = -80 mph (not feasible)
Thus, John's original speed was 70 mph.
Evaluate 6h when h=8
Answer:
The answer is 48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
First, you plug 8 into the equation in place of h.
You can do this because h is equivalent to 8.
6(8)
Now we just multiply 6 and 8
6(8)=48
Three students were asked to find the cube root of 216. Each student’s method is shown below.
Hadley: RootIndex 3 StartRoot 216 EndRoot = 72 because 216 divided by 3 = 72. Florence: RootIndex 3 StartRoot 216 EndRoot = 648 because 216 times 3 = 648. Robi: RootIndex 3 StartRoot 216 EndRoot = 6 because 6 cubed = 6 times 6 times 6 = 216
Which student found the correct cube root of 216?
Answer:
The awnser is Robi
Step-by-step explanation:
I just took this lesson
Answer: Robi
Step-by-step explanation:
This so for number 5
Answer:
219.8
Step-by-step explanation:
just multiply 157 times 1.4 and there you go!!
Since Sammy's stride is 1.4 meters, we simplify this to 1 meter for Estimation purposes. The field is 157 strides long, hence the estimated length of the field using compatible numbers is 157 meters.
To estimate the length of the field using compatible numbers, you first need to understand what each stride of Sammy's represents in standard units of length.
Sammy's stride is 1.4 meters.
We can simplify this to 1 meter for the sake of estimation.
Therefore, each stride Sammy takes is estimated to be roughly 1 meter.
Sammy finds that the field is 157 strides long.
To estimate the field's length in meters using compatible numbers, we simply take the number of strides Sammy counted (157) and replace his stride length with our simplified stride length (1 meter).
So, the estimated length of the field is 157 meters.
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The probable question may be:
5. For science class, Sammy is using the length of his stride to measure the length of a field. He finds that the field is 157 strides long. His stride measures 1.4 meters long. Use compatible numbers to estimate the length of the field.
i’ll mark brainlest if it’s correct
Answer:
The measure of angle Y is 76 degrees.
Step-by-step explanation:
A kite is a quadrilateral, so its angles must add up to 360 degrees. We can represent this with an equation:
W+X+Y+Z = 360
W+132+Y+76 = 360
We know that W=Y because side WX = side WY.
Y+ 208+Y = 360
2Y = 152
Y = 76 degrees
app.mymaths.co.uk
A fashion store is having a sale advertising 'one
third' off all prices. If a pair of trousers costs £47.46
in the sale, what did it cost before?
To find the original price before the 'one third' discount, divide the sale price by 2 and then multiply by 3. The original price of the trousers would be £71.19.
Explanation:The fashion store sale offers a 'one-third' discount off regular prices. To find the original price of a pair of trousers that cost £47.46 after the discount, we should understand that this sale price represents two-thirds of the original price, as the discount removed one-third of the original price. Hence, to find the original price, we need to divide the sale price by 2 and then multiply the result by 3 (since the original price is equivalently 3 parts if two parts is the sale price). So, the original price is (£47.46 ÷ 2)*3 = £71.19.
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At a school 1/4 of the students speak English and at least one other language of those students 2/5 speak Spanish what fraction of the students speaks Spanish ?
Answer:
1/1 that the answer
Step-by-step explanation:
1/4-2/5=1/1 that's the answer
What is the solution to x-2<6 ?
x < 6
x>6
An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total amount of aluminum needed to make the can.
Answer:
you did not specify the diamiter of the can please add another question and i will help
Step-by-step explanation:
it is imposible to answer right now
Can someone's help me please
Answer:
8.5
I hope this helps.
Step-by-step explanation:
7^2 + x^2 = 11^2
Answer:
h = 8.5 ft
Step-by-step explanation:
Let height of kite be h ft.
Therefore, by Pythagoras theorem:
[tex]h = \sqrt{ {11}^{2} - {7}^{2} } \\ = \sqrt{121 - 49} \\ = \sqrt{72} \\ = 8.48528137 \\ \huge \red{ \boxed{\therefore \: h = 8.5 \: ft}}[/tex]
Cost of a a radio:$9.99
Selling price:$17.08
What’s the markup
Answer:
7.09
Step-by-step explanation: its easy all you need to do the subtract
Solve for a side in right triangles help
Answer:
The length of AB is 7.45 units.
Step-by-step explanation:
You can find the length of AB using Cosine Rule, cosθ = adj./hypo. :
θ = 20°
adj. = 7 units
hypo. = AB
cos 20° = 7/AB
AB = 7/cos 20°
= 7.45 units (3s.f)
Answer:
7.45
Step-by-step explanation:
CLUES
• I'm a 2-digit even number.
• The sum of my digits is 11.
• If you reverse my digits I
would be 27 less than I am.
Who am I?
Answer:
74
Step-by-step explanation:
a + b = 11
ab - ba = 27
10a + b - 10b - a = 27
10a - a + b - 10b = 27
9a - 9b = 27
9(a - b) = 27
a - b = 27 : 9
a - b = 3
a + b = 11
a - b = 3
_______ +
a + b + a - b = 11 + 3
2a = 14
a = 7
a + b = 11 => 7 + b = 11 => b = 11 - 7 => b = 4
ab = 74
What is the width of the rectangle shown?
4x + 3
A = 8x2 – 10x – 12
O
A. 44 - 4
O
2x - 15
O
o
O
c. 2x - 4
O
D. 4X – 15
Answer:
To find the width of the rectangle, we can use the formula for the area of a rectangle, which is the product of its length and width. In your question, you provided the area (A) as A = 8x^2 - 10x - 12, and the length is given as 4x + 3.
Let's denote the width as "w." So, we have:
Area (A) = Length (L) × Width (w)
A = (4x + 3)w
Now, we can solve for the width (w):
w = A / (4x + 3)
w = (8x^2 - 10x - 12) / (4x + 3)
Now, we need to simplify the expression for w. We can factor the numerator to see if there are any common factors:
w = [(2x - 4)(4x + 3)] / (4x + 3)
Now, we can cancel out the common factor of (4x + 3) in the numerator and denominator:
w = 2x - 4
So, the width of the rectangle is 2x - 4, which corresponds to option (C).
Step-by-step explanation:
The width of the rectangle is (8x^2 - 10x - 12) / (4x + 3)
Explanation:To find the width of the rectangle, we need to equate the expression for the area of the rectangle to a product of its length and width. In this case, we have the area A = 8x2 - 10x - 12 and the length is given by 4x + 3. So, we can set up the equation (4x + 3) * width = A. Let's solve for the width:
So, the width of the rectangle is given by the expression (8x2 - 10x - 12) / (4x + 3).
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A nurse worked a total of 9/4 hours of overtime at $32 what's her overtime earnings?
Answer:
I believe it is $32, because it says she worked 9/4 hours for $32. I apologize if this is incorrect.
Step-by-step explanation:
What is the answer to this?
Answer:
9 meters
Step-by-step explanation:
d(1)=13 d(n)=d(n−1)+17 Find the 4 th term in the sequence.
Answer:
the 4th term is 64
Step-by-step explanation:
Given
d(1) = 13
d(n) = d( n -1) +17
First
d(2) = d(2-1) + 17
= d(1) + 17
= 13 + 17
= 30
d(3) = d(3-1) +17
= d(2) + 17
= 30 +17
= 47
d(4) = d(4-1) + 17
= d(3) + 17
= 47 +17
=64
To find the 4th term in the sequence defined by d(n)=d(n-1)+17, we can use the formula recursively to compute the subsequent terms. Starting with d(1)=13, we can find d(4) by adding 17 repeatedly.
Explanation:The sequence is defined by the formula d(n)=d(n-1)+17, with d(1)=13. To find the 4th term in the sequence, we can use the formula recursively. Starting with d(1)=13, we can find d(2) by adding 17 to d(1): d(2)= d(1) + 17 = 13 + 17 = 30. Continuing this pattern, we find d(3) = d(2) + 17 = 30 + 17 = 47. Finally, we find d(4) = d(3) + 17 = 47 + 17 = 64.
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2 people working at the same rate will take 6 hours to paint a room.
14 (a)
Assuming that they all work at this rate,
how long will it take 3 people to paint the room?
[2 marks]
Answer all
the
hours
14 (6)
In fact, the third person works at a faster rate.
How does this affect the time to paint the room?
(1 mark]
HELPOO ASAPP
Answer:4 hours
Step-by-step explanation:
6*2=12
12/3=4
Mr. Stoebner has decided to buy MORE halloween costumes. MORE COSTUMES!!! If Mr. Stoebner has 10 costumes already, and his costume collection grows exponentially by 40% each year, what exponential equation would model this scenario.
y=40(10)x
y=10(40x)
y=10(1.4)x
y=10(0.4)x
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------
Answer: y=10(0.4)x.
Explanation: 0.4 is 40% in decimal form.
A square fits exactly inside a circle with all of its vertices being on the circumference of the circle.
The square has sides of lengths x cm
The area of the circle is 56cm^2
Give your answer to 3sf.
The side of the square is 5.9 cm
Step-by-step explanation:
Area of the circle = 56 square cm
Side of the square= x
Area = π(r x r)
56 = π (r x r)
√17.83 = r
r = 4.22 cm
Diameter = 8.44cm
The diameter is equal to the diagonal of the square.
8.44 = x√2
x = 8.44/√2
= 5.9 cm
The side of the square is 5.9 cm
Solve the above question.
Answer:
gcd(20a,14b)
Step-by-step explanation:
add 7a and 3a, and add 5b to 2b,
you're left with 10a + 7b, times two to both, and you have
20a + 14b
so the answer is gcd(20a,14b)
i have no clue i haven't done this before so thats what i'm guessing happens? good luck :,)
Which animal shelter has the dog that weighs the least?
shelter A
shelter B
Both shelters have a dog with the lowest weight of 8 pounds.
Both shelters have a dog with the lowest weight of 10 pounds.
The answer would be A
It has the lowest value on the number line, 8 lbs.
Answer:
Shelter A
Step-by-step explanation:
Here is the histogram of a data distribution. All class widths are 1.
1 2 3 4 5 6 7 8 9 10
What is the median of the distribution
The required median of the distribution is 7. Option B is correct.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
To find the median of a distribution, we need to arrange the data in order from lowest to highest, and then identify the middle value. If there are an odd number of data points, the median is the middle value. If there are an even number of data points, the median is the average of the two middle values.
So, let's first list the values in ascending order:
1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9
The total number of data points is 20, which is even. Therefore, we need to find the average of the two middle values, which are the 10th and 11th values.
The 10th value is 7 and the 11th value is 7 as well, so the median is the average of these two values:
Median = (7+7)/2 = 7
Therefore, the median of the distribution is 7.
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What’s the answer to this question
Answer:
the answer is on the far left.
Step-by-step explanation:
5 Aaron wants to draw rectangles that each have an area of 36 square inches.
The length and width of each rectangle are whole numbers of inches.
Tell whether each statement about Aaron's rectangles is True or False
a. A rectangle can have a width of 3 inches.
True
b. A rectangle can have a length of 8 inches.
True
C. A rectangle can have a length of 18 inches and a width
of 2 inches.
True
False
False
False
d. A rectangle can have a width of 6 inches and a perimeter
that is less than 36 inches.
True
False
e. A rectangle can have a length of 9 inches, a width of
4 inches, and a perimeter equal to its area.
True
False
5 Aaron wants to draw rectangles that each have an area of 36 square inches.
The length and width of each rectangle are whole numbers of inches.
OK, we have Area=L×W where area is 36 and L and W are whole numbers, aka non-negative integers.
36=LW
a. A rectangle can have a width of 3 inches.
Sure, L=36/W = 36/3=12, a whole number. True
b. A rectangle can have a length of 8 inches.
W=36/L=36/8=9/2, not a whole number. False
C. A rectangle can have a length of 18 inches and a width of 2 inches.
Sure 18×2=36, our area. True
d. A rectangle can have a width of 6 inches and a perimeter
that is less than 36 inches.
L=36/6=6
It's a square, perimeter 6+6+6+6=24 which is of course less than 36
True
e. A rectangle can have a length of 9 inches, a width of 4 inches, and a perimeter equal to its area.
Perimeters can never really equal areas; they have different units. Let's just assume they mean they have the same number.
Area is 9×4=36, as desired. Perimeter is 9+4+9+4=26, not equal to its area.
False
This answer explains the possible dimensions for rectangles with an area of 36 square inches. The possible widths include 3 and 6 inches depending on the corresponding length. However, a length of 8 inches or 18 inches with a width of 2 inches, and a rectangle with a length of 9 inches and a width of 4 inches are false scenarios.
Explanation:The subject of these statements is about rectangles with an area of 36 square inches and their possible dimensions. For a rectangular area, you multiply the length by the width.
a. A rectangle can have a width of 3 inches: True. A rectangle with a width of 3 inches could have a length of 12 inches, giving an area of 36 square inches (3x12=36).b. A rectangle can have a length of 8 inches: False. There is no whole number that can be multiplied by 8 to give an area of 36.c. A rectangle can have a length of 18 inches and a width of 2 inches: False. Multiplying 18 by 2 gives an area of 36 square inches which is greater than the area allowable.d. A rectangle can have a width of 6 inches and a perimeter that is less than 36 inches: True. A rectangle with a width of 6 inches and a length of 6 inches has an area of 36 square inches and a perimeter of 24 inches, which is less than 36 inches.e. A rectangle can have a length of 9 inches, a width of 4 inches, and a perimeter equal to its area: False. A rectangle with a length of 9 inches and a width of 4 inches has an area of 36 square inches and a perimeter of 26 inches, and therefore the statement is false.Learn more about Rectangle Dimensions here:https://brainly.com/question/35474401
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I completed 2/3 of my project last month and 1/4 of it this week
Answer:
You've completed 11/12 of your project
Only 1/12 left to go!
Step-by-step explanation:
2/3 + 1/4 = 11/12
Answer:
Step-by-step explanation:
2/3+1/4=11/12
Find the surface area of
the prism.
15 in hight
3 in width
7 in length
Answer:
The surface area of the prism is 342 sq un.
Step-by-step explanation:
[tex]A_S = a + a + b + b + c + c\\a = h \times w = 15 \times 3 = 45\\b = h \times l = 15 \times 7 = 105\\c = w \times l = 3 \times 7 = 21\\A_S = 45 + 45 + 105 + 105 + 21 + 21\\A_S = 90 + 210 + 42\\A_S = 342[/tex]