A rectangle is 5 times as long as it is wide. The perimeter is 50 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Answer:
Dimensions = 21 centimeters by 4.2 centimeters.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 50cm
Translating the word problem into an algebraic expression, we have;
L = 5W
To find the dimensions of the rectangle;
Perimeter of rectangle = 2L + 2W
50 = 2L + 2W
50 = 2(5W) + 2W
50 = 10W + 2W
50 = 12W
W = 50/12
W = 4.2 cm.
To find the length;
L = 5W
L = 5*4.2
L = 21 cm.
The members of a basketball team are selling T-shirts during spirit week. The cost is $20 for the design and $1.50 to print each T-shirt. The cost, y, to print x T-shirts is y=1.5x+20. Interpret the slope and the y-intercept.
Answer:
Slope of 1.5 means that the printing of each new t-shirt is of $1.50.
The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.
Step-by-step explanation:
Equation of a line:
An equation of a line has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the increase in y when x increases by 1.
b is the y-intercept, which is the value of y when x = 0.
The cost, y, to print x T-shirts is y=1.5x+20.
Slope of 1.5 means that the printing of each new t-shirt is of $1.50.
The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.
Please show your work
Answer:
9(3+c+4)=
27+9c+36=
63+9c=
Step-by-step explanation:
9(3+c+4)=
27+9c+36=
63+9c=
The table shows a function. Is the function linear or non linear
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
1/2 off means you would multiply the amount by 1/2 then subtracta. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
do the same thing but this time it is a different numberb. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3
I need help please.
Answer:
may it help you..MARK ME AS BRAINLISTS PLS
A sporting goods store is discounting all
sports balls 55%. Which value is equivalent to this
percent?
A. 15/25
B. 11/20
C. 5/10
D. 5/55
-b+10a-5 in standard form
Answer:
10a-b-5
Step-by-step explanation:
-b+10a-5 in standard form
is
10a-b-5
hoped this helped :)
2:14 = 1:
What is the equivalent ratio?
what is a conjecture
Answer:
a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.
Step-by-step explanation:
I need help please.
Answer:
Answer is C hope this helps
Step-by-step explanation:
a new optical illusion is posred on the internet. Write a recursive formula to describe the pattern. The, write the explicit formula that can be used to find the number of times the optical illusionis shared after eight hours.
Answer:
hope this helps
The solution is 3,27,680
The geometric progression is given by aₙ = a ( r )ⁿ⁻¹ , where r = 4 is the common ratio and after 8 hours a₈ = 3,27,680
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the first term of the geometric sequence be a₁ = 20
Let the second term a₂ = 80
So , the common ratio r = second term / first term
On simplifying the equation , we get
Common ratio r = 80/20
Common ratio r = 4
Now , the explicit formula for the GP is
aₙ = a ( r )ⁿ⁻¹ , where n is the number of hours
aₙ = 20 ( 4 )ⁿ⁻¹
So , after 8 hours ,
Substitute the value of n = 8 in the equation , we get
a₈ = 20 ( 4 )ⁿ⁻¹
a₈ = 20 ( 4 )⁷
a₈ = 3,27,680
Therefore , the value of a₈ = 3,27,680
Hence , the equation is aₙ = 20 ( 4 )ⁿ⁻¹
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Branliest to correct answer please explain how you got your answer :)
Answer: 25%
Step-by-step explanation:
Let's take our given numbers
20% you win both checkers and chess against your friend
30% you win against your friend in chess
Now we take both probability's 20% and 30%
We are know working with a probability out of 200%
Let's add 20% and 30%
20%+30%=50%
Now 50% of 200% is
25%
help me FAST :> math problem 15 points come on please
Answer:
D
Step-by-step explanation:
z+nm is equiveland to mn+z since its the same equation but wrote in different positions.
Answer: the answer is D
Z + nm
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed 79.5 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:
Answer:
It's the graphic A.
,,,,,,
What is the factored form of the polynomial?
x2 – 16x + 48
(x − 4)(x − 12)
(x − 6)(x − 8)
(x + 4)(x + 12)
(x + 6)(x + 8)
Answer:
(x − 4)(x − 12)
Step-by-step explanation:
The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Option A is the correct answer.
Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
Now we can rewrite the middle term -16x as -4x - 12x and group the terms as follows:
x² - 16x + 48 = x² - 4x - 12x + 48
= (x² - 4x) + (-12x + 48)
= x(x - 4) - 12(x - 4)
= (x - 4)(x - 12)
Therefore,
The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Learn more about polynomials here:
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select the three expressions that are equivalent to 3/5a + 10
A. 1/5a + 10 + 2/5a
B. a(3/5 + 10)
C. 14 + 3/5a - 4
D. 1/5 (3a + 50)
E. 10 + 2/5a - a + 1/5a
Answer:
A, C and D
Step-by-step explanation:
Given
[tex]\frac{3}{5}a + 10[/tex]
Required
Select 3 equivalent expressions
[tex]\frac{3}{5}a + 10[/tex]
Express 3 as 2 + 1
[tex]\frac{2 + 1}{5}a + 10[/tex]
Rewrite as:
[tex]\frac{2a + a}{5} + 10[/tex]
Split
[tex]\frac{2a}{5} + \frac{a}{5} + 10[/tex] ----- Option (A)
[tex]\frac{3}{5}a + 10[/tex]
Express 10 as 14 - 4
[tex]\frac{3}{5}a + 14 - 4[/tex]
Rewrite as:
[tex]14+\frac{3}{5}a - 4[/tex] --- Option (C)
[tex]\frac{3}{5}a + 10[/tex]
Factor out 1/5
[tex]\frac{1}{5}(3a + 50)[/tex] --- Option D
Answer:
Option D
Step-by-step explanation:
You can give the guy/girl above Brainliest ^^
They rlly went out of their way to answer that question for you.
They deserve it!
Use the Distributive Property to write an expression that is equivalent to 2(3v + 6)
Answer:
6v + 12
Step-by-step explanation:
2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12
Hope this helps =]
Need help on this math ASAP I will give the brainiest to the person who answers this correctly! Do the ones that are circled in red please. (67 points to the person who answers this)
The solution is, 0.39 = 39% of probability.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.
In the problem given, P(A) = yes and P(B) = male, then:
P(yes) = 33/100
= 0.33
P(male) = 20/100
= 0.20 (all male that answered the question)
P(yes and male)
= 14/100
= 0.14 (all male that answered yes to the question)
P(yes or male) = P(yes) + P(male) - P(yes and male)
= 0.33+0.20-0.14
= 0.39
=39%
Hence, The solution is, 0.39 = 39% of probability.
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Complete question:
One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?
A group of 10 friends shared 5 large cinnamon rolls equally. What fraction of a cinnamon roll does each person get. Explain your thinking.
A pound of chocolate costs 8 dollars. Yoko buys p pounds. Write an equation to represent the total cost c that Yoko pays.
Answer:
8×p≈c
Step-by-step explanation:
Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.
Consider the proposition
2x + 5 > 13
(a) is the condition x > 0 necessary, or sufficient, or both necessary and sufficient for the
inequality to be satisfied?
(b) Answer the same question when x 0x is replaced by x 50
(c) Answer the same question when x > 0 is replaced by x > 4.
your answer is C
your answer is C
your answer is C
your answer is C
your answer is C
Answer:
C
Step-by-step explanation:
2x+5=13
2x+5-5=13-5
2x=8
2x/2=8/2
X=4
What expressions represent 5/6 × 5
Answer:
[tex]5 \div 6 \times 5 = 25\div 6[/tex]
25/6 is the Answer11. Find the area of shaded part.
19 yd -
5 yd
16 yd
Answer:
73.46 yds ^2
Step-by-step explanation:
triangle = 1/2bh = 1/2(19)(16) = 152
circle= πr^2
π(5)^2 = 25π = 78.54
152 -78.54= 73.46
Within a computer program, the number of bugs (i.e., coding errors) per lines of code has a Poisson distribution with an average of fifteen bugs per 1,000 lines. a. Find the probability that there will be exactly eight bugs in 1,000 lines of code. b. Find the probability that there will be at least eight bugs in 1,000 lines of code. c. Find the probability that there will be at least one bug in 1,000 lines of code. d. Find the probability that there will be no more than
Answer:
[tex]P(X=8) = 0.0194[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
[tex]P(X \ge 1)= 1[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 15[/tex]
Poisson distribution is given by:
[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Solving (a): 8 bugs
This implies that:
[tex]x = 8[/tex]
So, we have:
[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]
[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]
[tex]P(X=8) = 0.0194[/tex]
Solving (b): At least 8 bugs
This is represented as: [tex]P(X \ge 8)[/tex]
Using complement rule:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
Where
[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]
[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]
[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]
[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]
[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]
[tex]P(X<8) = 0.0180[/tex]
So:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
[tex]P(X \ge 8)= 1 - 0.0180[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
Solving (c): At least 1
This is represented as: [tex]P(X \ge 1)[/tex]
Using complement rule:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X<1) = P(X = 0)[/tex]
[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]
[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]
[tex]P(X<1) = e^{-15}[/tex]
So:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X \ge 1)= 1 - e^{-15[/tex]
[tex]P(X \ge 1)= 0.99999969409[/tex]
[tex]P(X \ge 1)= 1[/tex]
Solving (d): Not more than 1
This implies at most 1.
It is represented as:
[tex]P(X\le 1)[/tex]
It is calculated using:
[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]
[tex]P(X = 0) = e^{-15}[/tex]
[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]
[tex]P(X=1) = 15 * e^{-15}[/tex]
So:
[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]
[tex]P(X\le 1) = 0.00000489443[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
I will mark you brainalist
Answer:
4.6
Step-by-step explanation:
the first equation will be y=1.2x+4.6
the second will be y=0.8x+54.6
then i plugged the system of equations and that was where they met at :)
Answer:
for sure B
Step-by-step explanation:
Ali's dog weighs 8 times as much as her cat together the two pets weigh 54 lb how much does Ali's dog weigh
Answer:
48
Step-by-step explanation:
Cat = x
Dog = 8x
x + 8x = 54
9x = 54
x = 6, Dog = 8 * 6 = 48
A rectangular park has an area of A square yards. The length of the park is 50 yards.
Which equation represents, w, the width of the park in yards?
w= A - 2(50)
w=50/А
w=А/50
w= A - 25
Answer:
i believe it would be w=A/50
Step-by-step explanation:
5k + 9 = 89.............
Answer:
k= 16
Step-by-step explanation:
89-9=80
80/5=16
16=k
Answer:
5k+9=89
5k=89-9
5k=80
k=16
1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.
Answer:
A control group is used in an experiment as a point of comparison.
Step-by-step explanation:
By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.