Answers
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
B is the midpoint of AC so AB = BC.
AB + BC = AC
AB + AB = AC
2(AB) = AC
[tex]2\left(3\left(3x-1\right)\right)=5\left(2x+2\right)[/tex]
Expand:
[tex]2\times3\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\left(3x-1\right)=5(2x+2)[/tex]
[tex]6\times3x-6\times1=5\times2x+5\times2[/tex]
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x-6+6=10x+10+6[/tex]
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]18x-10x=10x+16-10x[/tex]
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8}=\frac{16}{8}[/tex]
[tex]x=2[/tex]
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
First, we know that the entire segment adds up to 5(2x+2). In other words:
[tex]AB+BC=5(2x+2)[/tex]
Now, since B is the midpoint of AC, by the definition of midpoint, AB and BC are equivalent. So:
[tex]AB=BC[/tex]
Since we know that, let's substitute BC for AB in the first equation:
[tex]AB+BC=5(2x+2)\\[/tex]
This is equivalent to:
[tex]AB+AB=5(2x+2)[/tex]
Combine like terms:
[tex]2AB=5(2x+2)[/tex]
And since we know that AB is 3(3x-1), substitute:
[tex]2(3(3x-1))=5(2x+2)[/tex]
Now, solve for x.
Distribute the left side:
[tex]6(3x-1)=5(2x+2)[/tex]
Distribute both sides:
[tex]18x-6=10x+10[/tex]
Add 6 to both sides:
[tex]18x=10x+16[/tex]
Subtract 10x from both sides:
[tex]8x=16[/tex]
Divide both sides by 8:
[tex]x=2[/tex]
So, the value of x is 2.
And we're done!
Notes:
You didn't particularly state what you need to find. If you want to length of AB or BC, it would be:
[tex]AB=BC=3(3(2)-1)=15[/tex]
And the entire length AC is:
[tex]AC=2(15)=30[/tex]
Related Questions
Factorise 18pq-12p
-
Answers
Answer:
6p(3q - 2).
Step-by-step explanation:
The GCF ( Greatest Common Factor) of 18pq and 12p is 6p.
So 18pq-12p = 6p(3q - 2).
helpppppppp me please:(
Answers
333333e33eeeeeebjkbb
the anwers is c
pls help fast......
Answers
Standard form is just putting the exponents in descending order.
Standard form: 13x^8 + 4x^5 - 16x^2
The degree of a polynomial is the largest exponential value of a term.
In this case, the degree of the polynomial = 8
Courtney and Malik are buying a rug to fit in a
50-square-foot space, Which rug should they
purchase? Explain.
$99 Rug Sale!
7 ft x 7 ft
8 ft diameter
6 ft x 8ft
Rug Emporium has your floors covered.
Answers
Answer:
I think its 7x7 because it equals to 49 and its the closest to 50 and the rug would fit better than 6x 8 1/2=51 becuase 49 is smaller and would fit better.
Step-by-step explanation:
The area of a 2D form is the amount of space within its perimeter. The correct option is B, 8ft diameter.
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.
Since Courtney and Malik want the rug to fit in an area of 50-square-foot space. Therefore, we need to first calculate the area of the given rugs, and then choose the one that can completely cover the area.
7 ft x 7 ft → Area = 7 ft x 7 ft = 49 ft²8 ft diameter → Area = (π/4)×Diameter² = (π/4)×(8ft²) = 50.2654 ft² 6 ft x 8ft → Area = 6 ft x 8ft = 48 ft²Now, as it can be seen that the only rug that can completely cover the 50-square-foot area is the one that has a diameter of 8 ft.
Hence, the correct option is B, 8ft diameter.
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Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.
Answers
Answer:
191
Step-by-step explanation:
47+144=191
Answer:
equation: 144+ 47= 191
Step-by-step explanation:
A bank offers a 12.8% annual rate compounded monthly. The periodic interest rate is:
Round to three decimals.
Answers
Answer:
%1.067
Step-by-step explanation:
I wrote it out and I'm attaching the picture
hope this helps
(I originally did this on the wrong question but I've fixed it)
I need help fast please!!!
Answers
Answer:
the answer is 3
Step-by-step explanation:
Roselyn is driving to visit her family, which lives 150 km away. Her average speed is 60 km/h. The cars tank has 20 L of fuel at the beginning of the drive, and its feel efficiency is 6 km/L. Fuel cost 0.60 dollars per liter what is the price for the amount of feel that Rosalyn will use for the entire drive?
Answers
Answer:
15
Step-by-step explanation:
It was very long
The price for the amount of fuel that Roselyn will use for the entire drive is $25
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in the determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, and quadratic equations.
Roselyn's family lives 150 km away.
Her average speed is 60km/h
The car tank has 20 L of fuel at the beginning of the the drive.
Fuel efficiency is 6km/ L.
The cost of the fuel is $0.60/L.
The total drive is 150km.
The 6km of distance requires 1 L of fuel
Then 150 km of the distance requires
= 150 * 1 / 6
= 150/6
= $25.
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Find the root
X^3-125=0
Answers
[tex] \huge {\sf {{x}^{3} - 125 = 0}} [/tex]
To Find:The root of the equation.
Solution:By adding 125 to both the sides, we get
[tex] \huge {\sf { {x}^{3} = 125}} [/tex]
Take cube to the RHS (Right Hand Side), we get
[tex] \huge {\sf { x = 5}}[/tex]
Answer: x = 5The solution to the expression is x = 5.
We have,
Expression:
x³ - 125 = 0
This can be written as,
x³ = 125
Now,
Cube of 5:
5³ = 5 x 5 x 5 = 125
Now,
x³ = 5³
Cube cancels out on both sides.
x = 5
Thus,
The solution to the expression is x = 5.
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In expanded form, log(1,000a^3/b) is equivalent to...
Answers
Answer:
Option (4)
Step-by-step explanation:
Given expression is,
[tex]\text{log}(\frac{1000a^3}{b})[/tex]
To solve this expression we will use the logarithmic properties.
[tex]\text{log}(\frac{1000a^3}{b})=\text{log}1000a^3-\text{log}(b)[/tex] [Since, [tex]\text{log}\frac{p}{q}=\text{log}p-\text{log}q[/tex]]
= log(1000) + log(a³) - log(b) [Since, log(pq) = log(p) + log(q)]
= 3 + 3log(a) - log(b)
= 3[1 + log(a)] - log(b)
Therefore, Option (4) will be the correct option.
The following data values represent a sample. What is the variance of the sample? X=9. Use the information in the table to help you.
Answers
Answer: it’s 28 for sure
Step-by-step explanation:
Answer:28
Step-by-step explanation:
1.Write 6,730,000 in scientific notation.
2. Write 13,300 in scientific notation.
3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.
Answers
Answer:
6.73 X 10 to the sixth power.
1.33 X 10 to the fifth power.
9.77 X 10 to the twenty-second power.
Step-by-step explanation:
The Rodriguez family drove 260 miles to get to
their summer vacation. The drive took 4 hours.
Assuming the family drove at a constant speed,
how many miles per hour did the Rodriguez
family drive?
Answers
Answer:
65
Step-by-step explanation:
260/4=65
Answer:
65
Step-by-step explanation:
If Jamie is riding at 14 mph and cori is riding at 0.04km per minute, how far will each of yjem bike in two hours? 1 mile = 1.61 km use the equation D=V/T
Answers
Answer:
Jamie will have covered a distance of 45.08 km while Cori will be 4.8 km away
Step-by-step explanation:
Here, we want to know how far will each of both riders be in 2 hours time.
Jamie is riding 14 mph
This means the number of miles covered in two hours will be 14 mph * 2 = 28 miles
For comparison purposes, let’s convert this to kilometer.
Since 1 mile = 1.61 km, then 28 miles will be 28 * 1.61 km = 45.08 km
For Cori, he is riding at 0.04 km per minute
1 hour = 60 minutes
so 2 hours = 2 * 60 = 120 minutes
Since the speed is 0.04 km in a minute
Then the distance in 120 minutes will be 0.04 * 120 = 4.8 km
Answer:
The answer is B.
Step-by-step explanation:
0.40 km to miles 0.248548
Then 0.248548 x 120=2 hours
Factor Completely.
4x^3 - 6x^2 + 16x -24
Answers
Answer:
2(2x - 3)(x^2 -4)
Step-by-step explanation:
the second one
If h = -19 and j = 16, what is
[tex] \sqrt{j - h} [/tex]
Answers
Answer is root of 35.
Answer:
[tex]\sqrt{35}[/tex]
Step-by-step explanation:
h =-19
j =16
[tex]\sqrt{j-h} = ?[/tex]
Substitute values into the given equation
[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]
Regina is walking to school after 10 minutes, jen has walked 3/10 mile.Find her speed in miles per hour A 2.5 miles B 1.3 miles C 1.8 miles per hour D 3miles per hour
Answers
Answer:
B. 1.8miles/hour
Step-by-step explanation:
Speed = distance/time
Given parameters
Distance = 3/10 miles
Time = 10miuntes
Convert the time to hours
10minutes = (10/60)hour
10minutes = 1/6 hour
Substitute the parameters into the formula;
Distance = (3/10)/(1/6)
Distance = 3/10× 6/1
Distance = 18/10
DISTANCE = 1.8miles/hour
Can anyone help me with this
Answers
Answer:
2700[tex]ft^{3}[/tex]
Step-by-step explanation:
First you find the volume of the bigger cuboid:
Volume= Length * width * height
Volume= 22 * 10 * 11
Volume= 2420[tex]ft^{3}[/tex]
Then the volume of the smaller cuboid:
Volume= Length * width * height
Volume= 7 * 10 * 4
Volume= 280[tex]ft^{3}[/tex]
Then add the volumes of the two shapes:
2420 + 280= 2700[tex]ft^{3}[/tex]
HOPE THIS HELPED
2. The ticket for an NBA playoff game is $13,000. Suppose
you have $5,000 saved and every week you save another
$800. You use the following equation to calculate how
much money you have after a certain amount of weeks:
f(w) = 5000 + 800w
What does w represent in this equation?
Answers
Answer:
18,500 because youvadd 500
every integer is _______number? an irrational , a natural , a whole , a rational.
Answers
Answer:
every integer is a whole number
URGENT!!! Please help
Answers
Answer:
The 3rd answer i think
Step-by-step explanation:
Find the slope of the line through (2, -3) and (-4, 3).
Answers
Answer: slope m=-1
Step-by-step explanation:
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{Slope = - 1}}}}}[/tex]
Step-by-step explanation:
[tex] \tt{Let \: the \: points \: be \: A \: and \: B}[/tex]
[tex] \tt{Let \: A ( 2 , -3 ) \: be \: ( x1 , y1 ) \: and \: B ( -4 , 3 ) \: be \: ( x2 , y2)}[/tex]
[tex] \underline{ \tt{Finding \: the \: slope \: of \: the \: line}}[/tex]
[tex] \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \longmapsto{ \sf{Slope = \frac{3 -( - 3)}{ - 4 - 2} }}[/tex]
[tex] \longmapsto{ \sf{Slope = \frac{3 + 3}{ - 4 - 2}}} [/tex]
[tex] \longmapsto{ \sf{Slope = \frac{6}{ -6}}} [/tex]
[tex] \longmapsto{ \boxed{ \sf{Slope = - 1}}}[/tex]
[tex] \tt{Hope \: I \: helped ! } [/tex]
[tex] \sf{Best \: regards !!}[/tex]
~TheAnimeGirl
Which must be true for two figures to be congruent?
Answers
Answer:
Congruent
Step-by-step explanation:
For the shapes to have the same size, and shape.
How many solutions does 6d+8=14+3d have?
Answers
Answer:
d =2
Step-by-step explanation:
6d+8=14+3d
Subtract 3d from each side
6d-3d+8=14+3d-3d
3d +8 = 14
Subtract 8 from each side
3d +8-8 = 14-8
3d =6
Divide by 3
3d/3 = 6/3
d =2
Whta is 80 - (-9) = explain pls
Answers
Answer:
80 - (-9) = 89.
Explanation:
In math, two negatives next to each other will become a positive. Since a negative number is being subtracted, The negatives will cancel.
So this:
80 - (-9)
Is functionally the same as this:
80 + 9
Therefore, the answer is 89.
Christina is paid biweekly. Her annual salary is 37,500. What is her biweekly salary, rounded to the nearest cent?
Answers
Answer:
$1,423.08
Step-by-step explanation:
[tex]\frac{37000}{26} = 1,423.076[/tex] rounded to the nearest cent it becomes 1,423.08.
*Remember that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.
The biweekly salary, rounded to the nearest cent is 1,423.08.
It is required to find the solution.
What is rounded number?A number that is easily multiplied, divided, etc., and especially a number that ends in zero.
Given :
Christina is paid biweekly. Her annual salary is 37,500.
According to given question we have,
We know that there are 26 biweekly periods in a year. Divide her annual salary (37,500) by 26.
37500/26=1423.076
Rounded to the nearest cent it becomes 1,423.08.
Therefore, the biweekly salary, rounded to the nearest cent is 1,423.08.
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Differentiate Square numbers and cube numbers
Answers
Answer:
square numbers are numbers raised up to the power of two in essence the number multiplied by it self
Red blood cells need iron. They store iron and typically contain more iron than the fluid around them does. Which
action would show the blood cells doing active transport?
O pushing iron out
O bringing iron in
O swelling
O shrinking
Answers
Answer:shrinking
Step-by-step explanation:
Answer:
bringing iron in
Step-by-step explanation:
hoped this helped let me know if it did
What is the slope of the line that passes through the points (10,5) and (9,5)? Write
your answer in simplest form.
Answers
Answer:
slope of line is 0.
Step-by-step explanation:
Slope of a line passing through (x1,y1) and (x2,y2) is given by
m = (y2-y1)/(x2-x1)
Given points are (10,5) and (9,5)
thus
slope = (5-5)/(9-10) = 0/-1 = 0
Thus, slope of line is 0.
When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.
The slope of the line that passes through the points (10,5) and (9,5) is 0.
Using slope formula,
m = y₂ - y₁ / x₂ - x₁
Therefore,
(10,5) (9,5)
m = 5 - 5 / 9 - 10
m = 0 / -1
m = 0
Therefore, the slope of the line that passes through the points (10,5) and (9,5) is 0.
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Can someone answer all these for me please
Answers
1. 169
2. 64
3. 81
4. 125
5. 4
6. 216
7. 2304
8. 27
9. 49
Second section
1. 4
2. 3
3. 5
4. 9
5. 1
6. 2
7. 7
8. 6
9. 10
Third section
1. 24
2. 3
3. 15(squareroot sign) 5
4. 18 (squareroot sign) 6
5. 6 (squareroot sign) 2
6. 72 (squareroot sign) 3
7. 21 (squareroot sign) 7
8. 0
9. 81