Answer:
The amount of time he spent on the bicycle using substitution method is 4.5 hours .
Step-by-step explanation:
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.
A linear equation is defined as an equation that is written in the form of Ax+By=C. It is the combination of two variables and a constant value present in them.
The first step in the substitution method is to find the value of any one of the variables from one equation in terms of the other variable.
Let the total time taken to complete the race by bicycle be x
Let the total time taken to complete the race by walking be y
We know,
Speed=Distance/Time
4y+30x=145
x+y=7
Using the substitution method ,
x=7-y
4y+30(7-y)=145
4y+210-30y=145
210-145=26y
y=65/26
y=2.5
So, the amount of time he spent on bicycle is x
x=7-y
x=7-2.5
x=4.5 hours
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Fill in the blank. In the triangle below, x= Round your answer to two
decimal places.
Answer:
The answer is 44.80 degrees
Step-by-step explanation:
First you want to find z
z = 180-(52+90)=38
and then try to determine which formula will try to give you x = Tan
Tan = Opposite/ Adjacent
Tan(38)=35/x
x=35/Tan(38)
x=44.80
Samuel Haskins uses his minivan primarily for his delivery business. He has 100/300 bodily injury, and $100,000 property damage coverage. His driver-rating factor is 3.55 because of his business use. His vehicle is classified A, 15.
In insurance, in a 100/300 policy, it should be noted that up to $100,000 bodily injury per single person injured in the accident will be covered.
What is insurance coverage?An insurance coverage simply means the amount of risk or liability for an individual.
In this case, in a 100/300 policy, up to $100,000 bodily injury per single person injured in the accident will be covered.
Also,an amount up to $300,000 in total will be for bodily injuries per accident. Finally, there's a $100,000 for damages to the property of others.
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Please explain how it is simplified. Thank you. No random or inexperienced mathematicians please
Answer:
[tex]\fbox {Work is attached below.} \downarrow[/tex]
Step-by-step explanation:
For year y, the population of massachusetts was approximately what percent of the population of vermont?
Answer: 50%
Step-by-step explanation: 50%
50 points PLEASEE I NEED THIS IN MINUTES sytem of functions thingg
Answer:
is b i think
hope my answer help you
A triangle has two sides of lengths 10 and 14 what value could the length of the third side be
Answer:
17.20465053
Step-by-step explanation:
17.20465053 or
17.2 (to 1 dp)
Answer:
Third side has to be greater than 4 and less than 24.
Step-by-step explanation:
A triangle is valid if the sum of two sides is greater than the third side. That has to be the case for each of the sides. So let the sides of triangle be a, b and c.
a + b > c
a + c > b
b + c > a
Given:
a = 10
b = 14
We are looking for the third side, c.
First inequality:
a + b > c
10 + 14 > c
24 > c
This tells us that c has to be less than 24.
Second inequality:
a + c > b
c > b - a
c > 14 - 10
c > 4
This tells us that c has to be grater than 4.
Third inequality:
b + c > a
c > a - b
c > 10 - 14
c > -4
This tells us that c has to be greater than -4. But we also know that c has to be greater than 4, so we take 4 as the minimal value for c.
Final answer:
4 < c < 24
Third side has to be greater than 4 and less than 24.
Solve the 2 problem s hurrryyyy
Answer:
3. n>or=0
5. n>or=0
Step-by-step explanation:
3. -1<or=2n+4-5
=-1<or=2n-1
=1-1<or=2n
=0<or=2n
=n>or=0.
5. 0<or=2n+3n
=0<or5n
=n>or=0
Which set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square?
(-5, -2) and (-3,-2)
(-3,0) and (0, -2)
(-3,0) and (-5, 0)
(0, -2) and (0, -3)
0000
Step-by-step explanation:
hope this help you the result is In square
If a₁ = 4 and an = 5an-1 then find the value of a5.
The value of [tex]a_{5}[/tex] is 2500, when [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].
Given that, [tex]a_{1}=4[/tex] and [tex]5a_{n-1}[/tex].
We need to find the value of [tex]a_{5}[/tex].
What is an arithmetic sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Now, to find the value of [tex]a_{5}[/tex] :
[tex]a_{2} =5a_{2-1}=5a_{1}=5 \times4=20[/tex]
[tex]a_{3} =5a_{3-1}=5a_{2}=5 \times20=100[/tex]
[tex]a_{4} =5a_{4-1}=5a_{3}=5 \times100=500[/tex]
[tex]a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500[/tex]
Therefore, the value of [tex]a_{5}[/tex] is 2500.
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Jun 21, 6:41:12 PM
What is the slope of a line perpendicular to the line whose equation is x - 3y = 27.
Answer: [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
perpendicular = opposite recipricol
-3 = [tex]\frac{1}{3}[/tex]
switch the sign and flip it (3/1 => 1/3)
Please help as soon as possible!!
Answer:
A) 144 feet
[tex]\textsf{B)} \quad h(t)=16t(6-t)[/tex]
Step-by-step explanation:
Part A
Given polynomial:
[tex]h(t)=96t-16t^2[/tex]
where:
h(t) is the height of the debris (in feet).t is the time (in seconds) after the explosion.To find the height of the debris 3 seconds after the explosion, substitute t = 3 into the polynomial and solve:
[tex]\begin{aligned}\implies h(3)& = 96(3)-16(3)^2\\ & = 288 - 16(9)\\ & =288-144\\ & =144 \sf \:\: ft\end{aligned}[/tex]
Part B
To factor the polynomial, rewrite 96 as 6 × 16:
[tex]\implies h(t)=6 \cdot 16t-16t^2[/tex]
Rewrite t² as t × t:
[tex]\implies h(t)=6 \cdot 16t-16t \cdot t[/tex]
Factor out the common term 16t:
[tex]\implies h(t)=16t(6-t)[/tex]
Check
Substitute t = 3 into the factored expression:
[tex]\begin{aligned}h(3) & = 16(3)(6-3)\\& = 16(3)(3)\\& = 48(3)\\& = 144\:\: \sf ft \end{aligned}[/tex]
As the height is 144 ft when t = 3 is substituted into the original polynomial and the factored polynomial, this confirms that the factorization is correct.
What is the area of rectangle ABCD?
coordinate plane with rectangle ABCD at A 0 comma 1, B 0 comma 4, C 4 comma 4, and D 4 comma 1
12 square units
14 square units
16 square units
18 square units
The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,
Area = 4 units × 3 units = 12 units²
Hence, the area of the rectangle is 12 units². Thus, the correct option is A.
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(PLEASE HELP!) A rectangular photograph measures 24x19 cm. It is mounted on a card of size such that there is a 2 cm border all around. For the purposes of this question take the length of the photograph to be 24 cm.
If one of the borders must be 2 cm in width, determine the width of a possible length and width so that the inner and outer rectangles are similar.
Answer: The card is 28 cm by 23 cm
Check out the diagram below
Explanation:
I added 4 cm to each dimension of the "24 x 19". Why 4 instead of 2? Because we're effectively adding two copies of "2 cm" to each of the original length and width. Along the horizontal component, we have the left and right boundaries. Along the vertical component, we have the top and bottom boundaries. The diagram hopefully clears up any confusion you may have.
what is the answer for this question pls
Answer:
12
Step-by-step explanation:
1 hour = 60 minutes
2 people paint a fence in 1 hour = 60 minutes
10 people are 5 times 2 people, so they need 5 times less time than 2 people.
10 people paint a fence in 60/5 minutes
10 people paint a fence in 12 minutes.
OVER DUED HOMEWORK pls help!! T-T
Answer:
see explanation
Step-by-step explanation:
(9m + 4)² - (9m - 4)² ← expand both factors using FOIL
= 81m² + 72m + 16 - (81m² - 72m + 16) ← distribute parenthesis by - 1
= 81m² + 72m + 16 - 81m² + 72m - 16 ← collect like terms
= 144m
= 72(2m)
which is divisible by 72 for all m
Which of the following equations have no solutions? Choose all Answers that apply
Answer:
B & D
Step-by-step explanation:
-4x+5=-4x-4
-4x+4x=-4-5
0=-1
So, it has no solution.
-4x+5=-4x-5
-4x+4x=-5+5
0=0
So, it has no solution too.
Suppose y varies directly as x, and y = 27 when x = 3. Find y when x = 4.
the initial statement is y ∝ x
to convert to an equation multiply by k the constant of variation
[tex]y = kx[/tex]
to find k use the given condition
[tex]y = 27 \\ \\ when \\ \\ x = 3[/tex]
[tex]y = kx \\ \\ k = \frac{y}{x} = \frac{27}{3} = 9[/tex]
equation is y = 9x
when x = 4 then
[tex]y = 9 \times 4 = 36.[/tex]
Answer:
y = 36
Step-by-step explanation:
given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 27 when x = 3 , then
27 = 3k ( divide both sides by 3 )
9 = k
y = 9x ← equation of variation
when x = 4 , then
y = 9 × 4 = 36
What is the solution set of -|-x| = -12?
O no solution
O {-12}
O {12}
O {-12, 12}
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]
Solution :{-12,12} so it's D
Please give brainliest
find L.C.M. of:
a) 3 x (x + 1) (x-1) and 2x² (x-1) (x+3).
Answer:
f
Step-by-step explanation
Which inequality is shown on this graph?
The inequality which shows the graph is [tex]y\le\ 4x+2[/tex].
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
As, from the inequalities the graph is representing the fourth inequality.
The graph attached below show the graph corresponding to
[tex]y\le\ 4x+2[/tex] is shown.
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2 more questions and 100 points answer asap!
Answer:
-6
Step-by-step explanation:
Well you just plug in the value 3 for x. This will give you the following equation: [tex]\frac{4(3+3)(3+1)}{(3+5)(3-5)}[/tex] which simplifies to [tex]\frac{4(6)(4)}{(8)(-2)}[/tex] which further simplifies to [tex]-\frac{96}{16}[/tex] which can further be simplified by dividing the two numbers and that results in -6
Answer:
A
Step-by-step explanation:
it really only means to replace every x by 3 and then simply calculate.
4(3+3)(3+1) / ((3+5)(3-5)) =
= 4×6×4 / (8×-2) = 96/-16 = -6
which of the following functions shown in the table below are exponential functions?
The functions shown in the table below are exponential functions, will be g(x) and k(x). Then the correct option are B and D.
The complete question is attached below.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept.
The exponent is given as
y = aˣ + b
Checking for g(x), then we have
g(x) = 5ˣ
Then the function g(x) satisfies all the condition.
Checking for k(x), then we have
k(x) = 4⁻ˣ
Then the function k(x) satisfies all the condition.
Then the correct option are B and D.
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help me with math please grade 5
Answer:
15/7 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Answer:
15/21
Step-by-step explanation:
First do 5 times 3, which is 15 (5+5+5). Then do 7 times 3, which is 21 (7+7+7). Since the denominator is 7 and there is 3 models with 7 parts each, there are 21 total parts. Out of each model, only 5 parts are highlighted/colored out of the 7. Add all the parts that are colored together to get 15. To put it simpler, 15 out of 21 parts are colored. This cannot be further simplified, giving you 15/21
4.
The graph below shows the distance traveled by a person biking at a rate of 6
miles per hour.
The equation is d = 6t, where t is the number of hours and d is the distance traveled
Write an equation that represents the distance traveled by a person who can bike
at a rate of 8 miles per hour.
Answer:
d=8t
Step-by-step explanation:
2.865; cut it to the ten thousandths
Answer:
2.865.
Step-by-step explanation:
first get to know the place value of each digit is you move on you will realise that there's no digit for tens of thousands that means that you can add a zero which which will be counted as tens of thousands and since it's not past 5 it can't change the other number. I mean it can't add 1 to 5 so the number remains 2.865 good day.
Fraction:
23
100
Decimal: 0.23
Percent: 30 %
Answer: Below is the correct data.
Fraction: [tex]\frac{23}{100}[/tex]
Decimal: 0.23
Percent: 23%
I hope this helps! Pls mark brainliest!! :)
Let a population consist of the values cigarettes, cigarettes, and cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?.
The "sample" with "mean absolute deviation" indicate about a sample mean absolute deviation is being used as an estimator of the mean absolute deviation of a population
Mean of the sample MAD=3.3Population MAD =6.4What does this indicate about a sample mean absolute deviation used as an estimator of the mean absolute deviation of a population?Generally, The MAD measures the average dispersion around the mean of a given data collection.
[tex]1/n \sum_i-1^{n} |x_i -m(X)|[/tex]
In conclusion, for the corresponding same to mean
the sample mean absolute deviation
7,7 ↔ 0
7,21 ↔ 7
7,22 ↔ 7.5
21,7 ↔ 7
21,21 ↔ 0
21,22 ↔ 0.5
22,7 ↔ 7.5
Therefore
Mean of the sample MAD=3.3Population MAD =6.4Read more about mean absolute deviation
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Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
TAKE POINTS
Let that be x
(x/8+8)8=952x/8+8=119x/8=119-8x/8=111x=111(8)x=888The number he chooses, in the beginning, was 888.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.
Let the unknown number be represented by x.
Therefore,
(x/8+8)8 = 952
x/8+8 = 119
x/8 = 119-8
x/8 = 111
x = 111(8)
x = 888
Therefore, the unknown number would be; 888.
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13. When the cost of fuel rose by 10%, Albert decreased his fuel consumption by 10%. Albert claimed that there was no change in his expenditure on fuel consumption. Explain if Albert is right or wrong.
Answer:
Wrong
Step-by-step explanation:
Let cost of Albert's fuel be x.
When cost of fuel rises by 10% :
x (1 + 10%)x (1 + 0.1)1.1xWhen consumption is reduced by 10% :
1.1x (1 - 10%)1.1x (1 - 0.1)1.1x (0.9)0.99xSo clearly there is a 1% change in expenditure. Hence, Albert's claim is wrong.
Answer:
Albert is wrong -- explanation below
Step-by-step explanation:
Albert's expenditure "C" on fuel at any point in time is the product of the unit price, "p", and the amount of fuel purchased, "n".
In an equation form, [tex]C=pn[/tex].
Looking at some time before the changes, let's denote the unit price, the amount of fuel, and the expenditure with subscripts "1" to denote specific values at time 1, before the changes.
[tex]C_1 = p_1 n_1[/tex]
After the changes, note that p1 increased by 10%, and amount of fuel decreased by 10%.
Understanding changing percentages
For values that stay the same, we would multiply by 100% (or 1.00), since multiplying by 1 doesn't change the value.
For a 10% increase, we need 100%+10% which equals 110% or 1.10
For a 10% decrease, we need 100%-10% which equals 90% or 0.90
So, the new prices and amounts and costs at some later time, time 2, are given by [tex]C_2 = p_2 n_2[/tex], where [tex]p_2 = 1.10p_1[/tex] and [tex]n_2 = 0.90n_1[/tex].
Substituting:
[tex]C_2 = p_2 n_2[/tex]
[tex]C_2 = (1.10p_1) (0.90n_1)[/tex]
[tex]C_2 = 0.99 p_1 n_1[/tex]
But remember that [tex]C_1 = p_1 n_1[/tex], so
[tex]C_2 = 0.99 C_1[/tex]
In other words, the next expenditure is 99% as much as (or 1% less than) the old expenditure.
Thus, Albert is incorrect to state that there was NO change in his expenditure.
1
2
3
Click on each graph to enlarge it.
4
Suppose f(x) = x. Find the graph of f(x) + 4.
Click on the correct answer.
graph 1
graph 3
↓
graph 2
graph 4
Answer:
its most likley graph 4
Step-by-step explanation:
hope this helps and if its wrong im very sorry