Answer:
Step-by-step explanation:
Find what you know.
Perimeter = 64cm
Length = width*3 + 8cm
Width = unknown (use w)
Perimeter of a rectangle formula is:
P = 2*L + 2*W or P = 2(L + W)
We know P and we have a formula for L
64cm = 2[(w*3 + 8cm) + w]
64cm = 2(3w + 8cm) + 2w
64cm = 6w + 16cm + 2w
Combine like terms:
64cm = 8w + 16cm
Subtract 16cm from both sides:
64cm - 16cm = 8w
48cm = 8w
Divide both sides by 8 to isolate the variable.
48cm/8 = w
6cm = w or swap them and w = 6cm
Now take the formula for perimeter again and plug in the value for width
64cm(P) = 2(L + 6cm(W))
64cm = 2L + 12cm
Subtract 12cm from both sides:
64cm - 12cm = 2L
52cm = 2L
Divide both sides by 2 to isolate the variable:
52cm/2 = L
26cm = L or swap them and L = 26cm
Rectangle is 26cm in length and 6cm in width. There is no height variable in a 2D rectangle, but sometimes (rarely) width is referred to as height. If this is a 3D box, than the height is equal to the width, in which case the information given might be slightly misleading.
Upvote
•
1
Downvote
Add comment
Donald S. answered • 01/06/15
TUTOR New to Wyzant
Interactive Chemical Educator for Chemistry
SEE TUTORS LIKE THIS
The perimeter = 2l + 2w
l = 3w+8
2l+2w = 64
2(3w+8)+2w = 64
6w+2w+16 = 64
8w + 16 = 64
8w = 48
w = 6 so l = 3(6)+8 = 26
What is the mean of the data set: {24, 31, 12, 38, 12, 15}
А) 12
B) 22
C) 24
D 23.5
Answer:
The answer for your question is D) 23.5
75 POINTS AND I'LL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
area of the square =10*10=100
area of the circle =pi r^2=pi*1^2=3.142
part a
p(hitting the circle =3.142/100=0.03142 Which is closer to 0
part b
p( hitting the white portion ) =1-0.03142=0.96858 which is closer to 1
Answer:
Wendy should train 100% harder and he'll get that dart inside the circle
Step-by-step explanation:
2. What is the value of x? Show your work
Answer:
x=7
Step-by-step explanation:
We are given that
Therefore,
By AA similarity postulate
AA similarity: When two angles of one triangle are equal to its corresponding angles of other triangle then , two triangles are similar by AA similarity.
When two triangles are similar then the ratio of their corresponding sides are equal.
Therefore,
We have JK=25 units,MN=30 units
JL=20 units,MP=
Substitute the values then we get
Hence, the value of x=7
Step-by-step explanation:
Factor completely 2x2 4x − 2. 2(x2 2x − 1) 2(x2 2) 2x(x2 2x − 1) Prime.
Factors of the given expression by taking 2 as a common term are 2 and [tex]x^2+2x-1[/tex].
The given expression is:
[tex]2x^2+4x-2\\\\[/tex]
What is a factor?A factor is a number that divides another number leaving no remainder.
We can take 2 as a common term,
Given expression becomes,
[tex]2(x^2+2x-1)[/tex]
Therefore, factors of the given expression are 2 and [tex]x^2+2x-1[/tex]
To get more about factors refer to:
https://brainly.com/question/596862
Can someone please help me. Thanks
Answer:
[tex]c= \sqrt{288}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem
[tex]a^2 + b^2 = c^2[/tex]
[tex]12^2 + 12^2 = c^2[/tex]
[tex]144+144=c^2[/tex]
[tex]288 =c^2[/tex]
[tex]\sqrt{288} =\sqrt{c^2}[/tex]
[tex]\sqrt{288} = c[/tex]
Can somebody pleasseee help
Answer:
24cm^2 ( twenty-four centimeter square
Step-by-step explanation:
Area of a parallelogram = Base ×Height;
A=B×H
In this case:
A=6cm × 4cm
Which means that
A= 24cm^2
What most likely will happen if the pie maker bakes a seventh pie? The marginal cost will most likely decrease to $1. 00 The marginal cost will most likely increase to $2. 00 The marginal revenue will most likely decrease to $8. 0. The marginal revenue will most likely increase to $12. 0.
The marginal cost will most likely increase to $2.00
What is the marginal cost?Marginal cost is the change in the production costs that would be required to make one extra unit of production.
The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit.
For example, if a company produces a cup for $5, and 10 cups would be $50, therefore, the marginal cost is the extra cost it would take to manufacture an additional cup.
Hence, the marginal cost will most likely increase to $2.00
To know more about marginal cost click the link given below.
https://brainly.com/question/25171748
Answer:
B The marginal cost will most likely increase to $2.00
Step-by-step explanation:
I took the assignment. :)
One day at football practice, Darrell, the kicker, punted the ball so that its height in feet above the ground was given by the following function, where t is the number of seconds since the ball was punted.
[tex]h(t)=-16t^{2} +75[/tex]
When will the football be 81 feet high?
When the football is 81 feet high, it will be √ 3 / 8 seconds
FunctionFunction relates input to output. Therefore,
h(t) = - 16t² + 75Therefore,
t = number of seconds
h(t) = - 16t² + 75
h(t) = 81 ft
Therefore,
81 = - 16t² + 75
- 16t² = 81 - 75
- 16t² = 6
divide both sides by -16
t² = 6 / -16
t² = - 3 / 8
square root both sides
t = √ 3 / 8 seconds
learn more on function here: https://brainly.com/question/4418459
Answer:
It'll be that high a 1.69 and 3
Step-by-step explanation:
It counts 1.69 as 81 even though it's more like 81.1, so 1.69 and 3 is the answer.
A company produces computer batteries. Everyday, the company produces exactly 500 batteries. To keep track of how many batteries are defective, a
worker tested a box of batteries. The results are in the table below.
Working Batteries Defective Batteries Total
17
20
Using these results, about how many batteries each day are defective?
O 3
O 25
O75
O425
Using the binomial distribution, it is found that about 75 batteries each day are defective.
For each battery, there are only two possible outcomes, either it is defective, or it is not. The probability of a battery being defective is independent of any other battery, hence the binomial distribution is used to solve this question.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
In this problem:
3 out of 20 batteries are defective, hence p = 3/20 = 0.15.Each day, 500 batteries are produced, hence n = 500.Then:
[tex]E(X) = np = 500(0.15) = 75[/tex]
About 75 batteries each day are defective.
More can be learned about the binomial distribution at https://brainly.com/question/14424710
PLEASE HELP!!
List a pair of vertical angles, then state the relationship between vertical angles.
Answer:
angles 6 and 8
Step-by-step explanation:
angles 7 and 9
angles 1 and 4
what grade r u in btw ?
help meeeee i really need it its this or my carrer going down the drain
Answer:
0.25% are chocolate chip cookies
Step-by-step explanation:
first, make it a fraction
8/32
8/32= 0.25
the answer is 0.25%
The temperature that milk is pasteurised to kill off most germs:
Answer:
160 degrees Fahrenheit for 15 seconds
Step-by-step explanation:
Conventionally, milk is pasteurized, or heated at high temperatures to kill harmful germs, at roughly 160 degrees Fahrenheit for 15 seconds. While pasteurization kills most germs, it does not wipe out bacterial spores, the dormant versions of the germs, which are extremely resistant to any form of destruction.
Answer:
160⁰ and 15 minutes can the germs canbe die and the milk can be so clean
What is the mean of the data set: {24, 31, 12, 38, 12, 15} A) 12
B) 22
C) 24
D) 23.5
Answer:
B
Step-by-step explanation:
Please mark Brainlest
Answer:
22
Step-by-step explanation:
24 + 31 + 12 + 38 + 12 + 15
= 132
There are 6 valures
132 / 6 = 22
If you get both of these questions right I will give you 50 points
Answer:
1) c 226
2)
1. E
2. D
3. B
4. A
5. C
Step-by-step explanation:
6^3=216
5x(4-2)
5x2=10
216+10=226
Use the drop down menus to correctly complete the statement.
For a quadrilateral to be a rhombus, the diagonals
Choose...
and
Choose...
.
If the diagonals of a quadrilateral bisect all the angles, then it's a rhombus, converse of a property. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then it's a rhombus, converse of a property.
Solve the inequality and graph the solution. 2x < 10. Create your own number line to graph the solution.
Answer:
2x<10 is basically x<5
Step-by-step explanation:
You divide both sides by 2 to isolate x and since 2 is not negative it doesn't change the sign.
A sphere has a diameter of 16 m. What is the volume of the sphere?
What is the Volume?
i’m so confused, can somebody help me do this?
Answer:
1. -2=-x - 9, 7=-x, -7=x
2. -1=-x - 9, 8=-x, -8=x
3. 0=-x - 9, 9=-x, -9=x
4. 1=-x - 9, 10=-x, -10=x
5. 2=-x - 9, 11=-x, -11=x
find value of x pllllllllllllllllllllllllllllllllllllllll
Answer:
try to see the rules for this question and you will get answer
have a nice day
Step-by-step explanation:
What is the area of the trapezoid?
80 ft 2
60 ft 2
24 ft 2
64 ft 2
Answer: The answer would be A 64ft
Step-by-step explanation:
Have a Good Day
Please mark Brainliest!!
-Hunter Cross
HELP PLEASEEEE With a weight of approximately 6.6 x 10^6 tons, Hoover Dam spans the Colorado River between Nevada and Arizona. What is its weight in pounds? (Express your result in scientific notation.)
Answer: I need the answer also
Step-by-step explanation:
Donna rented a truck for one day. There was a base fee of $14.00, and there was an additional charge of 25 cents for each mile driven. The total cost, C (in dollars), for driving X miles is given by the following function. What is the total rental cost if Donna drove 30 miles?
At the end of a snow storm, Gavin saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 10 inches of snow on the lawn when the storm ended and then it started melting at a rate of 0.5 inches per hour. Make a table of values and then write an equation for S,S, in terms of t,t, representing the depth of snow on Gavin's lawn, in inches, tt hours after the snow stopped falling.
Answer:
s (t) = 12 - 0.75t
Step-by-step explanation:
Given: The snow started melting at a rate of 0.75 inches per hour and it is known that 4 hours after the storm ended, after the storm ended, the depth of snow was down to 9 inches.
Snow melted in 4 hours =
Initial depth of snow = 9 + 3 inches = 12 inches.
Now, depth of snow on Tristan's lawn = Initial depth -0.75(Number of hours)
Let S(t) be the depth of snow on Tristan's lawn, in inches, t hours after the snow stopped falling.
Question 14:0580/23/O/N/14/15
15 The lights and brakes of 30 bicycles are tested,
The table shows the results,
Lights
Brakes
Fail test
3
9
Pass test
27
21
The lights and brakes both failed on one bicycle only.
8- 30 bicycles)
Complete the Venn diagrams.
It can be deduced that the Venn diagram shows the relationship that exist between the light test and the brake test.
What is a Venn diagram?It should be noted that a Venn diagram simply means an illustration that uses circles to indicate the relationship among things.
From the information given, the lights test failed on 3 bicycles while 27 bicycles passed the test.
The brake test failed on 9 bicycles while 21 bicycles passed the test. This is depicted in the Venn diagram.
Learn more about Venn Diagram on:
https://brainly.com/question/2099071
3) An $1,000 investment is made in a trust fund at an annual percentage rate of 12%,
compounded yearly. How long will it take the investment to reach $2,000?
We need to find the interest rate in order to solve this problem:
.12/12 = (.01)
The number of years is unknown. T represents time in the following formula:
1000 (initial investment)
2000 (balance after t years from investment)
[tex]$1000 (1 + .01)^{12t}[/tex]=$2000
In order to isolate the exponential term, both sides must be divided by 1000.
[tex](1+.01)^{12t}[/tex]=2
By using natural logarithm:
[tex]Ln(1+.01)^{12t} =Ln2\\(12t)Ln(1+.01)=Ln2\\[/tex]
By dividing both sides of the equation by [tex](12)Ln(1+.01)[/tex]
[tex]t=\frac{Ln(2)}{(12)Ln(1+.01)} =5.805yrs[/tex]
If the price of gas increases by 5% again next week, will theprice be 10% higher than it was originally
Chris made a batter with ⅞ cup of flour, ⅝ cup of milk, ⅜ cup of butter and ⅜ cup of sugar. How many cups of batter did Chris make?
Answer:
2(1/4) cups 2 cups and a quarter
Step-by-step explanation:
⅞ + ⅝ + ⅜ + ⅜ = 18/8
= 2 (2/8) = 2(1/4)
There are 9/4 cups of batter did Chris make.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Chris made a batter with ⅞ cup of flour, ⅝ cup of milk, ⅜ cup of butter and ⅜ cup of sugar.
Hence, Number of cups of batter did Chris make are,
⇒ 7/8 + 5/8 + 3/8 + 3/8
⇒ (7 + 5 + 3 + 3) / 8
⇒ 18/8
⇒ 9/4
Thus, Number of cups of batter did Chris make are, 9/4
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ2
What is the range of the data set: {53, 13, 34, 41, 26, 61, 34, 13, 69}A)13B)69C)56D)53
3 to 6 and please answer fast do with equations thx
To know while working with inequality equations:
- When multiplying or dividing by a negative, you want to flip the direction of the inequality sign. < becomes >, etc
- When graphing, if it is only less/greater than (< or >) the dot will be open
- When graphing, if it is less/greater than and equal too (≤ or ≥) the dot will be closed
- Then, if the x value is on the left side, the arrow will go in the direction of the inequality sign
[3] Divide both sides by -4, flip the sign
-4x ≥ -36
x ≤ 9
[4] Divide both sides by -0.4, flip the sign, and then I flipped the equation to make it easy to graph
3 > -0.4x
-7.5 < x
x > -7.5
[5] Divide both sides by -2.2, flip the sign
-2.2x ≤ -6.6
x ≥ 3
[6] Multiply both sides by -8, flip the sign
[tex]\frac{x}{-8}[/tex] > 2
x < -16
See attached for the graphs.
If the diameter of a circle changes from 6 cm to 12 cm, how will the circumference
change?
If you're not sure, find the circumference of each circle & compare the answers.
the circumference will double