Answer:
If Bryan can run 2 miles in 20 minutes, he can run 10 miles in 100 minutes.
Step-by-step explanation:
To determine the answer to this problem, we can first find how many minutes it takes Bryan to run one mile. Because it takes him twenty minutes to run two miles, it must take Bryan ten minutes to run one mile.
1 mile = 10 minutes
Multiply this by ten to find how many miles Bryan runs in 100 minutes.
10 miles = 100 minutes
Bryan can run 10 miles in 100 minutes.
Answer: 10 miles
Step-by-step explanation: They’re equivalent to the minutes. 20 minutes 2 miles, 40 minutes 4 miles and so on.
resolve into partial fraction. (5x+2)/3x²+4x-4
Answer:
[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]
Step-by-step explanation:
Ooook, step 1: write the denominator as a product, or we're not going anywhere. Can't spot any two factor by staring at it, so quadratic formula it is.
[tex]x= \frac13(-2 \pm \sqrt{4+12})=\frac13(-2\pm4) = -2;\frac23[/tex]
We got our toots, let's split the denominator now: [tex]3x^2+4x-4 = (3x-2)(x+2)\\[/tex]
Now it's all a matter of writing down what we need:
[tex]\frac{5x-2}{3x^2+4x-4}=\frac{5x-2}{(3x-2)(x+2)} = \frac{A}{3x-2}+\frac{B}{x+2} = \frac{A(x+2)+B(3x-2)}{(3x-2)(x+2)}=\frac{Ax+2A+3Bx-2B}{(3x-2)(x+2)} =\frac{(A+3B)x+(2A-2B)}{(3x-2)(x+2)}[/tex]
Here comes the fun part. Two ways: the fast and loose, and the long one.
Fast and loose: let's look only at the numerators of the 3rd to last and first step: [tex]A(x+2)+B(3x-2) = 5x+2[/tex] If we plugged a convenient value, let's say [tex]x=-2[/tex] the coeffcent of A would disappear, and we would be able to find B. Let's do it. [tex]A(-2+2) + B(3(-2)-2) = 5(-2)+2 \rightarrow -8B =-8 B=1[/tex]
At this point we have B, let's pick a different value of x, let's say 1, to get A:
[tex]A(3) + 1(1) = 7 \rightarrow 3A=6 \rightarrow A=2[/tex]
More traditional: Pick the first and last numerators: [tex]5x+2 = (A+3B)x+(2A-2B)[/tex]. Stare at them long enough and pick your favourite excuse to justify the following system (two polynomials are equal if the coefficents are equal, polynomials create a vector space of base [tex](1,x,x^2...)[/tex]
[tex]\left \{ {A+3B=5} \atop {2A-2B=2}} \right.[/tex]
Again, [tex]A=2, B=1[/tex] is a solution.
Either way, the solution is:
[tex]\frac{5x+2}{3x^2+4x-4}= \frac{2}{3x-2}+\frac{1}{x+2}[/tex]
PLZ help I need to answer quickly!
Answer:
4.2
Step-by-step explanation:
All sides are proportional, so choose a pair and find the proportion
Ex: AB and JK = 7/5=1.4
so each side is multiplied by 1.4 to get the larger figure
So 3*1.4=4.2
solve for x:
4x-14=-2x+24
Answer: 6 1/3
Step-by-step explanation:
4x-14 = -2x+24
4x = -2x+24 + 14 [Add 14 to both sides]
4x + 2x = 24 + 14 [Add 2x to both sides]
6x = 38 {Combine like terms]
x = (19/3) or 6 1/3
how do you solve this I'm on a time crunch
Answer:
19.59≈20
Step-by-step explanation:
Have a nice day
Using Pythagoras Theorem we can find the 3rd side of a right angled triangle.
Steps are there in the image I attached.
Hope it helps you...
Please mark as Brainlliest!!!
How do you write 7460 in standard form?
Answer:
7460
Step-by-step explanation:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
7460
Answer:
a = 7.46
7.46 x 103
103 = 1,000 x 7.46 = 7,460
here your answer
hope it helps you
Find the measure of the angle marked with a question mark using inverse trig
functions. Round your answer to the nearest degree. Enter the number only.
I need the answer quick
Applying the tangent ratio, the value of x in the right triangle is approximately: 5.
What is the Tangent Ratio?Tangent ratio that can be applied to solve a right triangle is expressed as: tan ∅ = opp/adj.
Given the following:
∅ = 63°Opp = 10 Adj. = xtan 63 = 10/x
x = 10/tan 63
x ≈ 5
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I need help i have no clue what to do!
Answer:
Step-by-step explanation:
-6x-2y= -26
3(-6x-2y)= -26*3
-18x-6y= -78
(subtract this from the first equation)
(-2x-6y)-(-18x-6y)= -14+78
16x=64
x=4
Now that we know x= 4 we can plug that into an equation and solve for y
-2(4)-6y= -14
-8-6y= -14
-6= -6y
y= 1
x=4
y= 1
(4,1)
Please help, thanks. NO LINKS!
Answer:
c
Step-by-step explanation:
Lets take a look at the line. We see that the point is between 5 and 6, which means A is wrong. Now lets just count the number of lines between the two points, where 5 is starting at 5 0/6 and 6 is 5 6/6. So as we go, we find that the point B is 4/6 of the way to 6. This means that the best answer is B) 5 4/6.
I hope this helps! :)
you lose one quarter, two dimes, and two nickels.
a. Write the amount as a decimal.
The amount as a decimal is ____.
b. Write the amount as a fraction in the simplest form.
The amount as a fraction is ____.
Answer: .55
55/100
Step-by-step explanation:
1. Two angles added together to produce 90 degrees a) Supplementary b) Complementary c) Right od) Vertical
Answer: B: complementary
Step-by-step explanation: :)
in the diagram, angle ACB=65
what does angle BCD=
-90
-180
-65
-115
Answer:
65 is the answer.........
Answer:
the answer would be 180-65 so it is 115
4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Step-by-step explanation:
I just need help simplifying
Answer:
(x - 2) / (x - 1)
Step-by-step explanation:
(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom
(x - 2) / (x - 1) <-- cancel out x + 3
I need help with these
I was too lazy to write all that on here so i did it on paper to make it easier, hope this helps :)
Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.
Answer:
w + 4 ≥ -23
Step-by-step explanation:
"a number w": w
"increased by 4": + 4
"is greater than or equal to": ≥
"-23": -23
Put the parts of the equation together:
w + 4 ≥ -23
~
Answer: (x + 4) ≥ -23
Solve for x
1−6x = −17
Answer:
x = 3
Step-by-step explanation:
1 - 6x = - 17 ( subtract 1 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
The rectangle below has an area of 55x^6+22x^455x 6 +22x 4 55, x, start superscript, 6, end superscript, plus, 22, x, start superscript, 4, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 55x^655x 6 55, x, start superscript, 6, end superscript and 22x^422x 4 22, x, start superscript, 4, end superscript. What is the length and width of the rectangle?
Answer: I had difficulty reading the problem, so please check my interpretation.
Width is 11x^4 and Length is 5x^2 + 2
Step-by-step explanation:
Area of rectangle is 55x^6+22x^4Width is equal to the GCF of 55x^6 and 22x^4The greatest common factor of 55x^6 and 22x^4 is 11x^4. So the width is 11x^4.
Length = (55x^6+22x^4)/(11x^4)
Length = 5x^2 + 2
desde que empezó la cuarentena, el consumo de energía eléctrica en mi casa se ha incrementado. Es porque estamos todos en casa sin salir, usando la computadora, televisión y otros artefactos a la vez. El último recibo nos vino por julio y agosto, ya que no pudimos salir a pagar por la cuarentena, pero el recibo se extravió. Solo alcanzo a recordar que el monto total era de 150 soles y que en julio el consumo fue 20 soles menos que en agosto. ¿Cuánto fue nuestro consumo en julio y agosto? Verifica tu respuesta.
Answer:
Julio: 65 soles
Agosto: 85 soles
Step-by-step explanation:
julio: x
agosto: x + 20
x + x + 20 = 150
2x + 20 = 150
2x = 130 x = 65
julio: x = 65
agosto: x + 20 = 85
verificacion: 65 + 85 = 150
julio [65] = 20 menos que agosto [85]
Answer:
Julio: 65 soles
Agosto: 85 soles
The consumption in July was 65 soles and the consumption in August was 85 soles.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's call the amount of consumption in July "C1" and the amount of consumption in August "C2".
We know that:
C1 + C2 = 150 (the total consumption for both months)
C2 = C1 + 20 (August consumption was 20 soles more than July)
We can substitute the second equation into the first equation to get:
C1 + (C1 + 20) = 150
Simplifying this equation, we get:
2C1 + 20 = 150
Subtracting 20 from both sides, we get:
2C1 = 130
Dividing both sides by 2, we get:
C1 = 65
So the consumption in July was 65 soles.
Using the second equation, we can find the consumption in August:
C2 = C1 + 20 = 65 + 20 = 85
So the consumption in August was 85 soles.
We can check that these values are correct by verifying that they add up to the total consumption of 150 soles:
65 + 85 = 150
Therefore,
The consumption in July was 65 soles and the consumption in August was 85 soles.
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The complete question:
Since the quarantine began, the consumption of electrical energy in my house has increased. It is because we are all at home without going out, using the computer, television and other devices at the same time. The last receipt came to us in July and August, since we could not go out to pay for the quarantine, but the receipt was lost. I can only remember that the total amount was 150 soles and that in July consumption was 20 soles less than in August. How much was our consumption in July and August? Check your answer.
A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.
Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?
Answer:
Step-by-step explanation:
When the Johnson family lights candles at 5:00 PM, each candle is 8 inches tall. The height of each candle changes by -3/4 inch for each hour that it burns. How tall will each candle be at 11:00 PM when the Johnsons put the candles out for the night?
Each candle will be___inches tall.
From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.
Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.
Therefore, the length of the candles at 11:00PM will be:
= 8 - (3/4 × 6)
= 8 - 4.5
= 3.5
In conclusion, the correct option is 3.5 inches tall.
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Answer: 3.5
just did it
Step-by-step explanation:
Use the following function rule to find f(0).
f(x)= 12(9)^x
f(0) =
Answer:
12
Step-by-step explanation:
f(0)=12(9)^0
(9)^0=1
f(0)=12(1)=12
[tex]f(x) = 12 \cdot 9^x\\\\f(0) = 12 \cdot 9^0 = 12 \cdot 1 =12[/tex]
5(2x + 1) = 50
Help me plsss
Answer:
x=9
Step-by-step explanation:
shape it helps
byeeeeee
Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?
A. h = 20w
B. W=20h
C. H=2102
D.w=210h
help pleasee
[tex] \: \: \: \: \: [/tex]
A. h = 20wh=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if ithope it helps[tex] \: \: \: \: \: [/tex]
need help for this question
The first one it's the first image, and the second one is the second image.
what does the x mean in 24x?
Answer:
It means 24 X x
Step-by-step explanation:
Answer:
The x next by any number is variable or value of some kind,it's not supposed to be specific because it's algebra.
-5x - 25= 78; her work is shown below identify the error and where it was made
[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]
2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me
2b - 37 = 152 - 5
2b - 37 = 147
2b = 147 + 37
2b = 184
b = 92
2x+5y=25 3x-y=12 con metodo de sustitución
Answer:
x = 5, y = 3
Step-by-step explanation:
2x + 5y = 25
3x - 1y = 12
we can multiply the second equation by 5 and then add it to the first equation, which will allow us to solve for 'x'; then we solve for 'y'
5(3x - 1y) = 12(5)
15x - 5y = 60
2x + 5y = 25
+ 15x - 5y = 60
17x = 85
x = 5
plug '5' in for 'x' to solve for 'y':
2(5) + 5y = 25
10 + 5y = 25
5y = 15
y = 3
Find the value for each variable.
Step-by-step explanation:
3x=21
x=21/3 = 7.
hope this helps.
a square lot has a side of 8 5/8 meters,what is the area of the lot?