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.
You want to take 12 shirts, but you can only fit 3 in your suitcase. How many different ways can you choose shirts to pack?
Answer:
220 ways.
Step-by-step explanation:
This can be gotten by using the formula of combination in statistics.
The formula for combination is given below
nCr = n! / r!(n - r)!, where
r = total number of object, and
n = number of objects we're choosing from
Applying this to the question we have
12C3 = 12! / 3!( 12 - 3)!
12C3 = 12! / 3! * 9!
12C3 = 220
Therefore, we can choose to pack the shirts in 220 different ways
Billy is saving up to buy a new cell phone he has $45 right now and he can save $6 each month if billy wants to buy a new phone that costs $63 how many months does he have to save up
On expression that is equal to 5.1 - 5.9
Answer:
5.1 - 5.9= 0.8 SO reverse it and do 5.9 - 5.1 and still get 0.8
Hope this helps ヾ(•ω•`)o - Six
I need help with this problem please!!!
Answer:
the answer is 1188
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21
The possible functions are
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
How to determine the possible equations?The zeros are given as:
x = -7 and x = 3
Rewrite as:
x +7 = 0 and x - 3 = 0
Multiply both zeros
(x + 7) * (x - 3) = 0 * 0
Evaluate the product
x^2 + 7x - 3x - 21 = 0
Evaluate the like terms
x^2 + 4x - 21 = 0
Express as a function
f(x) = a(x^2 + 4x - 21)
Where a is a constant
Let a = 1, 2 and 5 (according to the values in the options)
f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)
f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)
f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)
Hence, the possible functions are (a), (b) and (c)
Read more about quadratic functions at:
https://brainly.com/question/1214333
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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.
To solve more questions on equivalent expression, visit the link-
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Which speed is the fastest?
180 miles/3 hours
240 miles/6 hours
90 miles/2 hours
30 miles/1 hour
Answer:
180 miles/ 3 hours
Step-by-step explanation:
180 miles / 3 hours is the same as 60 miles per hour
240 miles /6 hours is the same as 45 miles per hour
90 miles / 2 hours is the same as 45 miles per hour as well
and 30 miles per hour just stays like that.
Therefore, 180 miles per 3 hours is the correct answer
Answer:
180/3
Step-by-step explanation:
Hope it helped you have a nice day!<3
What value on the number line is the
same distance from 0 as -3.75
Answer:
3.75
Step-by-step explanation:
|-3.75|=3.75
7. If K-
key mov? is the formula for kinetic energy, find the mass (m) of the object if the
kinetic energy (K) is 3872 joules and the velocity (V) is 22 meters/second.
A. 4 kilograms
B. 88 kilograms
C. 352 kilograms
D. 16 kilograms
Someone help me pls
Answer:
i can np
Step-by-step explanation:
A man's basic wage for a 40-hour week is $160.00. He is paid $5.00 per hour for overtime. If He works 6 1/2 hours overtime in a certain week, his wage for that week is?
Answer:
im guessing you add the overtime work money to the weeks normal wage, which would be 192.5$.
Step-by-step explanation:
6.5 hours x 5/hr$ = 32.5$ + 160$
The area of these shapes are?
Lisa, Kelly, and Maria have $56.70. If Lisa has $23.20 and Kelly has $15.05, which equation shows how much money, n, Maria has
Answer:
38.25+n=56.70
Step-by-step explanation:
23.20+15.05+n=56.70
38.25+n=56.70
Answer:
Maria has $18.45.
Explanation:
All three of them have $56.70 all together.
So you would want to add Lisa's amount with Kelly's amount to get how much they have together.
23.20 + 15.05 = 38.25
Then you take the amount of money Lisa and Kelly has together and subtract it from the total amount of money all three of them have together to get Maria's amount.
56.70 - 38.25 = 18.45
Maria has $18.45.
Check:
Add all three of there money amounts together and if you get $56.70 you got the right answer.
23.20 + 15.05 + 18.45 = 56.70
The circle's radius is 10 units. Find the length of RH . You may use a calculator's pi button or 3.14 for pi, then round your answer to the nearest tenth.
Explanation please!
Answer:
RH = 8.2 units
Step-by-step explanation:
total circumference = 2rπ = 2(10)(3.14) = 62.8 units
RH = (47°/360°)(62.8) = 8.2 units
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.
Which statement best describes f(x)=
[tex] - 2 \sqrt{x - 7 } + 1[/tex]
A. 6 is in the domain of f(x) but not in the range of f(x).
B. 6 is not in the domain of f(x) but is in the range of f(x).
C. -6 is in the domain of f(x) and in the range of f(x).
D. 6 is neither in the domain of f(x) nor in the range of f(x).
Answer:
D
Step-by-step explanation:
the domain of this is x>=7
the range is x<=1
so 6 is in neither
Solve the inequality -2n > -6
A. n>3
B. n>-3
C. n<3
D. n=3
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:
The initial number of views for a blog was 10. The number of views is expected to grow at a rate of 15% per week. How many views are expected in 5 weeks?
Answer:
20 viewsStep-by-step explanation:
Initial number = 10Weekly growth rate = 15% or 1.15 timesEquation for this relationship:
V(t) = 10*1.15^t, where t - number of weeksNumber of views in 5 weeks:
V(5) = 10*1.15^5 = 20 views (rounded)A local bakery charges $2.75 per cupcake.
Which equation best represents y, the total cost
of x number of cupcakes?
A.
y = 2.75 + x
B.
y = 2.75x
C.
x = 2.75y
D.
x = 2.75 + y
Mond
Answer:
B
Step-by-step explanation:
y = 2.75x
have a great day
Answer:
B. y = 2.75x
Step-by-step explanation: Since Y represents the total cost that means that the total cost is how ever many cupcakes one were to buy. Since each cupcake is $2.75 and you are buying X amount of cupcakes, the total would be 2.75 ~multiply~ X. Thus, giving you your final answer of y=2.75x.
can I please get some help and correct me if I’m wrong with number 1 and 2
Answer:
the answer on 1. is correct
number 2. is -3 not 3
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
Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. The Jackson family bought 2 adult tickets and 6 student tickets. What was the difference in the amount spent by the two families?
A. $1
B. $24
C. $36
D. $48
Answer:
A
Step-by-step explanation:
why do I have to write for it to send
plzzz help me with this someone!!!!!!!!!!!!!!!!!!!! except the stalker who keeps stalking and if he or she does it again i'm going to reported them!!!!!!!!!!!!!!!!!!! Anyway some help me!!!!! and i'll give you 5 stars?!
Question: You need to buy some fabric to make the masks. You know that you can make 3 1/2 masks with 2 yards of fabric, but you want to make 80 masks. How much fabric do you need to buy?!
Answer: 23
Step-by-step explanation:
23 yards will give you 80.5 masks, anything less than 23 will give you less than 80 masks.
Also, do you have a link to their page or something? I'm trying to report because they have been bothering multiple people. Would be much appreciated. :)
X + 8 = -6
need this asap ty
Answer:
Solution given:
x+8=-6
x=-6-8=-14
Answer:
X = -14
Step-by-step explanation:
Hi
Can you help me with this ?
thank you
Have a nice day
25°>>>>>>>>>>>>>>>>>>>>
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
Which transformation(s) preserve the size & shape of the pre-image?
**SELECT ALL THAT APPLY** *
Translation
Rotation
Reflection
None
Answer:
rotation and reflection