An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
envelope?
inches by
inches
Answer:
10in by 5in
Step-by-step explanation:
PERIMETER: p=2(a+b) p=30
AREA: A=a×b A=50
2(a+b)=30
a×b=50
Answer:
The dimensions of the envelope are 5 by 10 inches.
Step-by-step explanation:
Perimeter formula for a rectangle: P = 2W + 2L
Area formula ' " " A = W*L
Here, P = 2W + 2L, so 30 in = 2W + 2L, or 15 in = W + L
Also, A = W*L, so 50 in^2 = W*L, or (if we solve this for W) W = (50 in)/L
But 15 = W + L, or 15 - L = W. Substitute this result for W in the equation W = (50 in)/L:
We get (50 in)/L = 15 - L
Multiplying both sides by L eliminates the fraction:
50 in = 15L - L^2, or
L^2 - 15L + 50 = 0
This factors into (L - 10)(L - 5) = 0, so L is either 10 or 5. Because 15 - L = W, W is either 10 or 5.
The dimensions of the envelope are 5 by 10 inches.
Mrs. Sanchez promised each of her 35 fifth grade students one fourth of a pie for Pi Day (March 14th). There are 6 pies left at Costco. Does she have enough for her 35 students? Explain how you know. If she doesn't have enough, how many more pies does she need?
Answer: No, she needs 3 more pies.
Step-by-step explanation:
Hi, no she does not have enough pie, you would know by multiplying the amount of pies she has by 4, as she promised to give them 1/4 of a pie each, leaving her to only have 24 pieces in toShe would need at least 9 pies to have enough for all 35 students, plus an additional 1/4 sized slice left over.
A sector with a radius \maroonD{18\,\text{cm}}18cmstart color #ca337c, 18, start text, c, m, end text, end color #ca337c has an area of \goldE{234\pi\,\text{cm}^2}234πcm 2 start color #a75a05, 234, pi, start text, c, m, end text, squared, end color #a75a05. What is the central angle measure of the sector in degrees?
Answer:
260
Step-by-step explanation:
cuz i got it right
Answer:
260°
Step by step explanation:
Khan academy:
Dylan wants to buy a new guitar. He borrows the money he needs and pays an equal amount back for 11 months. The interest is $3 each month. How much money will he pay in interest?
Answer:
Total interest paid= $33
Step-by-step explanation:
Giving the following information:
Number of periods= 11 months
Interest per month= $3
To calculate the total amount of interest paid, we need to use the following formula:
Total interest paid= number of periods*interest per period
Total interest paid= 11*3
Total interest paid= $33
pls help i really need help, i would appreciate it. will mark brainliest.
#1. a bag contains red marbles and white marbles in a ratio of 3 to 5. if one marble is drawn, what is the probability that the marble is not red?
#2. the sides of a triangle are 7in., 24in., and 25in. Is the triangle a right triangle? Justify your answer.
#3. The carpet cost $18 per square yard. Use two unit multipliers to find the cost per square foot.
#4. if the dimensions of a rectangle are increased by 100%, then the area of the rectangle is increased by what percent?
#5. The vertices of a trapezoid are at (-3,-2), (5,-2), )2,3), and (-2,3). What is the area of the trapezoide?
#6. √6 · √12
Answer:
#1: 5/8, #2: It is a right triangle, #3 $2: per square foot, #4: 300%
Step-by-step explanation:
#1: If you want the probability of drawing a non-red marble, you need to have the number of non-red marbles divided by the total number of marbles. Since it's a 3 to 5 ratio, and the 5 represents marbles that are white, not red, you can put 5/(5+3), or 5/8 as your answer.
#2: For this one, you need to use the pythagorean theorem, a rule that will be true if it's a right triangle, and false if it's not. It's A² + B² = C², where C is bigger than A and B. To apply this, you can plug 7² + 24² into a calculator, and see whether or not the answer is equal to 25² (which, in this case, it is, meaning that it is a right triangle.)
#3: The idea with this is cancelling out the units until you end up with the units you want. You know how 7897/7897 would still be equal to one, as anything divided by itself is still one? We can use that concept, because multiplying our original value by 1 won't change the value, just the units. Since 1 yard = 3 feet, we can do this: ($18)/(yard²) × (1 yard)/(3 feet) × (1 yard)/(3 feet) = $2/feet²
#4 This one I will use sample values for: let's say our rectangle has a length of 10 inches and a width of 20 inches. That means it's area will be L × W, that is, 10 × 20 = 200 inches². Now lets increase the dimensions by 100%. Our length would become 20 inches, and our width would become 40 inches. That makes L × W = 20 × 40 = 800 inches². Now, to see what percent increase that is from the original, we have to do (800 - 200)/200, that is, 3, or 300%.
Sorry I don't have time to do the last one, but might I suggest that you post the questions individually next time? I just think it might make people less scared to jump into solving one problem than five, so you might get answers sooner =)
There is a question here it is a pic
Answer:
3^2 = 9
9 x 3.14 = 28.26
28.26 divided by 4 = 7.065 (round) = 7.07
Step-by-step explanation:
The area of a circle is:
A=π*(r^2)
A=π*(3^2)
Α=9π ft^2
The area of the figure is:
A=9π/4 ft^2
If it says that π=3.14 then
A=7.07 ft^2
There are 6 children on a bus. Each child is wearing a hat. What fraction of the children on the bus are wearing a hat?
Answer:
6/6
Step-by-step explanation:
if there are 6 children, and each of them are wearing a hat, that means there are six children wearing hats, out of the six children on the bus. so the answer would be 6/6.
All 6 childrens in the bus are wearing a hat.
What is algebraic expression?An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -
2x + 3y + 5
2z + y
x + 3y
Given is that there are 6 children on a bus. Each child is wearing a hat.
Total number of children in the bus = 6
Number of children wearing a hat = 6
Fraction of children wearing a hat -
n = (Number of children wearing a hat/Total number of children in the bus)
n = 6/6
n = 1
Therefore, all 6 childrens in the bus are wearing a hat.
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Carol earns a 13% commission on the sales she makes. If carol sold $1800 for the week, how much commission did she makes?
Answer:
234
Step-by-step explanation:
.13 x 1800 = 234
A recipe uses 5 cups of flour , Nadia is making 1/2 of the recipe . How many cups of flour does Nadia need ? Move numbers to the boxes to show the answer . If there is no whole number , put a in the first box
Answer:
2.5 rounds to 3
Step-by-step explanation:
5 divided by (or 5/2) 2 is 2.5 and since its not a whole number you rounded by the ones and you get 3.
Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches
Answer:
Yes, it makes a triangle.
Step-by-step explanation:
When I used a measuring stick, it does create a triangle.
How many Hostel rooms have 11 or fewer guest
There are only [tex]3[/tex] hostel rooms with guests who are less than or equal to [tex]11[/tex], as shown by the bar graph, which indicates that the majority of rooms have [tex]11[/tex] and fewer visitors.
What does the word guest really mean?A visitor to your house or someone you have invited to a gathering, like a party or a dinner: dinner/wedding guests. A guest is another name for an individual who is a hotel guest.
What does the term "hotel guest" mean?A person who is the legitimate resident of a hotel room and whose address and name are shown in the registration kept by the hotel is referred to as a hotel guest.
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Can someone plz help me??
Answer:
461.58
Step-by-step explanation:
Please confirm if this was correct
help appreciated xx
:)
Answer:
13pts
Step-by-step explanation:
If you're asking how many pints 6 qt and 1 or is then I believe it is 13 pt
The area of these shapes are?
Someone help me pls
Answer:
i can np
Step-by-step explanation:
3(g + 4) = 9
Need help
Answer:
g=-1
Step-by-step explanation:
3(g+4)=9
Divide both sides by 3.
g+4= 9/3
Divide 9 by 3 to get 3.
g+4=3
Subtract 4 from both sides.
g=3−4
Subtract 4 from 3 to get −1.
g=−1
Answer:
3(g+4)=9
or, 3(g+4)/3=9/3 [Dividing both sides by 3.]
or, g+4=3
or, g+4-4=3-4 [Subtracting 4 from both sides.]
So, g=-1
Three bells, A,B and C toll every 5 seconds, 8 seconds and 12 seconds respectively. They all start tolling together. After how many seconds will they all toll together again
Answer:
120 seconds
Step-by-step explanation:
To obtain the number of seconds they will all till together again, obtain the lowest common multiple of the three bell times :
Bell A :
Multiples of of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125
Bell B :
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128
Bell C :
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132
From the values above, the lowest common multiple is 120, Hence, they'll toll together again after 120 seconds
I NEED HELP ASAP with this Question PLEASE
Answer:
answer is b
Step-by-step explanation:
hope it helps!!!
6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?
Answer:
16 meters
Step-by-step explanation:
5+3+5+3= 16 meters
HELP!
The length of a rectangle is 6 cm longer than its width.
The area of the rectangle is 135 cm².
What is the width of the rectangle?
Enter your answer in the box.
Answer:
length= 6x
width= x
AREA= 135
solution
AREA = length times width
135 = 6x multiplied by x
135=6x^2
x^2 as subject of formula
x^2=135/6
x^2=22.5
square root both sides
x=4.74
width = 4.74
Answer:
9
Step-by-step explanation:
Lin solved the equation 8(x - 3) + 7 = 2x(4 - 17) incorrectly. Identify the TWO errors Lin made while solving.
Lin’s solution:
Answer:
when she subtracts 8x to 26 and dividing
Step-by-step explanation:
Step-by-step explanation:
[tex]8(x - 3) + 7 = 2x(4 - 17) \\ 8( \times - 3) + 7 = 2x( - 13) \\ 8x - 24 + 7 = - 26x \\ 8x - 17 = - 26x \\ - 17 = - 34x \\ x = \frac{1}{2} [/tex]
Can some one help pls
Answer:
I don't see the link fix it or something
You have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour. You need to have 500 tables set up by 6pm. When should they begin setup?
You should begin setup by 12 PM to setup 500 tables.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, you have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour.
So, in one hour total number of table can set up = 6×13
= 78
Number of hours = 500/78
= 6.41
≈ 6 hours
Therefore, you should begin setup by 12 PM to setup 500 tables.
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Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
1:2
Step-by-step explanation:
Triangle = 3
Square = 6
3/3 = 1
6/3 = 2
1:2
Please Mark Brainiest
can anyone help me please!!!!!!!!!!!
Answer:
a) 45
Step-by-step explanation:
given that sin(x+4)=cos(3x)find tan(x+40)to 4 s.f.
Answer:
[tex]\tan(x + 40) = 1.842[/tex]
Step-by-step explanation:
Given
[tex]\sin(x + 4) = \cos(3x)[/tex]
Required
Find [tex]\tan(x + 40)[/tex]
In trigonometry
If [tex]\sin(A) = \cos(B)[/tex]
Then: [tex]A + B = 90[/tex]
So, we have:
[tex]\sin(x + 4) = \cos(3x)[/tex]
[tex]3x + x + 4 = 90[/tex]
[tex]4x + 4 = 90[/tex]
Collect like terms
[tex]4x =- 4 + 90[/tex]
[tex]4x =86[/tex]
Solve for x
[tex]x = 86/4[/tex]
[tex]x = 21.5[/tex]
So:
[tex]\tan(x + 40) = \tan(21.5+40)[/tex]
[tex]\tan(x + 40) = \tan(61.5)[/tex]
Using a calculator:
[tex]\tan(x + 40) = 1.842[/tex]
A graph shows time (weeks) labeled 2 to 8 on the horizontal axis and height (inches) on the vertical axis. A line of orange dots increases from 0 to 9 weeks starting at 2 on the vertical axis. The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply. The function is linear. The function is quadratic. The height increases at a constant rate of change. The ratio of height and number of weeks is constant. There is no relationship between height and number of weeks.
Answer:
A.) The function is linear.
C.) The height increases at a constant rate of change.E
Step-by-step explanation:
Edge 2022
The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.
Therefore, the following statements apply:
The function is linear.
The height increases at a constant rate of change.
Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.
The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.
Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.
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Place the following numbers in order from least to greatest.
Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.
When does the ball reach its maximum height?
What is the maximum height of the ball?
Answer:
Maximum height of the ball = 100 m
Time to reach the maximum height = 2.5 seconds
Step-by-step explanation:
Function that models the height h(t) of the ball and time 't',
h(t) = -16t² + 80t
Convert this equation into vertex form,
h(t) = -16(t²- 5t)
= -16[t² - 2(2.5t) + (2.5)² - (2.5)²]
= -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²
= -16(t - 2.5)² + 16(6.25)
= -16(t - 2.5)² + 100
By comparing this equation with,
g(t) = a(x - h)² + k
Here, (h, k) is the vertex of the parabola.
Vertex of the given parabola will be → (2.5, 100)
Therefore, maximum height of the ball = 100 m
Time taken by the ball to reach the maximum height = 2.5 seconds