Answer:
10:4, 15:6, 20:8
hope that helps.
If B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14, then what is the length of AB?
Answer:
The length of AB: 34
Step-by-step explanation:
What are we given?
B = Midpoint of AC
AB = 8x + 2
BC = 5x + 14
|--------------|--------------|
A B C
(This is what your line would look like)
Our equation would be:
AB + BC = AC
(8x + 2) = (5x + 14)
(AB) = (BC)
(Assuming that our line and points are evenly spread out, we can say that they can equal each other)
8x + 2 = 5x +14
- 5x- 2 = -5x -2
---------------------
3x = 12
[tex]\frac{3x}{3}=\frac{12}{3}[/tex]
---------------------
x = 4
1) Substitute
(8x + 2) + (5x + 14) = AC
(AB) + ( BC) = AC
AB = 8(4) + 2
32 + 2
= 34
BC = 5(4) + 14 =
20 + 14
= 34
(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)
The length of the line segment AB is 34 units.
Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.
What is the midpoint of line segment?A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.
Since, B is the midpoint of AC
AB=BC
8x + 2=5x+14
Subtract 5x on both sides of the equation, that is
8x+2-5x=5x+14-5x
⇒ 3x+2 = 14
Transpose 2 to other side of the equation, we get
3x = 14 - 2
⇒ 3x=12
Transpose 3 to other side of the equation, we get
x=4
So, AB=8x+2
=8×4+2
=32+2=34 units
Therefore, the length of the line segment AB is 34 units.
To learn more about the line segment visit:
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Written Portion
The graph below shows the relationship between time and distance traveled
by a race car moving at a constant rate and at its maximum speed. How long
did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
8400
300
200
100
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)
Answer:
2.4 hours
Step-by-step explanation:
The graph is a straight line graph. A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + c, where y is the dependent variable, x is the independent variable, m is the slope (rate of change) and c is the intercept.
A line passing through the point [tex](x_1,y_1)\ and\ (x_2,y_2)\[/tex] can be represented by the equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (0.5, 100) and (3.5, 700). Hence using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{700-100}{3.5-0.5} (x-0.5)\\\\y-100=200(x-0.5)\\\\y-100=200x-100\\\\y=200x-100+100\\\\y=200x\\\\To\ travel\ 480 \ miles,we\ substitute\ y=480\ and\ find\ x\\\\480=200x\\\\x=480/200\\\\x=2.4\ hours[/tex]
The equation y=-2/3x-6 in standard form
The equation in the standard from is 2x + 3y = -18.
What is the linear equation?The linear equation is the algebraic form of equation whose variable has the exponent of one. It is the combination of two variables and a constant value present in them.
For the given situation,
The equation is y = -2/3 x - 6
The standard form of linear equation is Ax +By = C,
where A,B,C are numbers and x,y are intercepts.
⇒ [tex]y=\frac{-2}{3}x -6[/tex]
Taking LCM on RHS,
⇒ [tex]y=\frac{-2x-18}{3}[/tex]
⇒ [tex]3y=-2x-18[/tex]
Rearrange the equation in the standard from,
⇒ [tex]2x+3y=-18[/tex]
Hence we can conclude that the equation in the standard from is 2x + 3y = -18.
Learn more about linear equation here
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The number of terms of an Ap is even and the sum of odd terms is 24 the sum of even terms is 30 and the last term exceeds the first by 10 1/2. find the number of term and the series.
do it as fast as you can
who will do this question I will marks them as brainliest
all the best
Answer:
fzirzityxpy
Step-by-step explanation:
What is the value of x in the equation 1/5x— 2/3y=30 when y = 15
Answer:
The answer to your question is x=200
Step-by-step explanation:
1/5x-10+10=30+10(add 10 both sides)
1/5x=40
x=200
What is the missing length of this rectangle?
Answer:
10ft
Step-by-step explanation:
The bottom length is 16 and the top length is 6, so you would do 16-6 to get the missing value.
Jenna has 131 dog biscuits. She wants to give them as gifts to each of her 4 poodles.
How many biscuits does each poodle get?
(Assume each gets the same number of biscuits.)
Answer:
32 cookies and 3 left over
Step-by-step explanation:
2. Let z represent the unknown number. Write expressions for:
a. A third of the unknown number plus three
b. Four times the unknown number less twice the number
C. The sum of the unknown number and its square
d. The fraction obtained when double the unknown number is divided by the sum of the unknown number and four
Answer:
a. z+3
b. 2z - 4z
c. z + z^2
d. 2z/(z+4)
Hope it helped.
Jax is at the gym about to lift weights. He finds the bar already has weights on it, but some are not labeled.
Answer:
what's the question?
Step-by-step explanation:
Having trouble on math here’s a picture to help
Answer:
E is D=5that sign
G is m=-1/12
I is p=11
K is t =12.5 the sign
M is q = -4/3
D is f=3 sign
H is b=-13
j is h=-14
L is r=4.5
N is w = -5/4
F is s=7/8
-34x+6=-28
I need to learn how to solve for x
Answer:
x=1
Step-by-step explanation:
-34x+6=-28
-6 -6
-34x=-34
-34 -34
x=1
Subtract 6 from both sides. on the left the 6 will be canceled out and on the right -28-6= -34
Than you divide -34 on both sides on the left the -34 will be canceled and on the right -34 divided bt-34 is positive 1. So x equals 1.
Answer:
Your answer is x = 11/17
Step-by-step explanation:
I gotchu!
Alright first, subtract 6 on both sides. After doing so, your equation should look like:
-34x = + 22
Then, divide -34 on both sides. Do not divide x though! The equation will look like:
x= -22/34
Now, let's simplify the answer. We can divide 22 and 34 by 2 so we will do that.
After simplifying, it should be 11/17.
Finally, keep it improper because you always should keep fractions improper when doing this.
Your answer is x = 11/17
5x-(-4)=
WHat Is tHe AnSwer
Answer:
5x+4
Step-by-step explanation:
A double negative sign gives a positive sign
Answer: 20
Step-by-step explaination: -4 minus 5x=20 because 4x5=20+-x=20
After parent teacher conferences, the seventh grade teachers go out to Logan’s for dinner. The total bill comes to $53.79. If they want to leave a 20% tip, about how much should they leave?
Answer:
The should leave $8.07 because 15% of $53.79 is 8.0685, which can be rounded to 8.07.
i will give u brainliest
Answer:
The reciprocal of 2 is 1/2
The reciprocal of 6/11 is 11/6
Please help me I'm so stress out
.· Find the perimeter of a parallelogram with the following measurements
: a = 8, b = 5, h = 4
Answer:
The answer is 26
Step-by-step explanation:
Its right just do it
A cube has side length 10 inches. What is its volume?
Answer:
10*10*10 =1000
Step-by-step explanation:
the volume tells you how many little 1 in cubes would fit on the 10 inch one
10 one inch cubes make a 10in line, 10 of those lines make a square and 10 of those square make the cube so:
1 * 10 * 10 * 10
In August 2008, Eddie hired a car in Italy. The cost of hiring the car was £620
The exchange rate was £1 = €1.25
Work out the cost of hiring the car in euros (€).
Answer:
The answer is £775 for hiring a car
The required answer would be the cost of hiring the car in euros is €775.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
In August 2008, Eddie hired a car in Italy. The cost of hiring the car was £620
The exchange rate was £1 = €1.25
We have to determine the cost of hiring the car in euros (€).
According to the given question,
For the required solution, we have to multiply the exchange rate by the cost of hiring the car
The cost of hiring the car in euros (€) = 620 × exchange rate
The cost of hiring the car in euros (€) = 620 × €1.25
Apply the multiplication operation to get
The cost of hiring the car in euros (€) = €775
Therefore, the required answer would be the cost of hiring the car in euros is €775.
Learn more about Multiplication operations here:
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2x + 1=4x-3 solve for x
Answer:
x = 2
Step-by-step explanation:
To start, you want to isolate x.
To do so, get all the x terms to one side.
2x + 1 = 4x - 3
Subtract -4x on both sides.
-2x + 1 = -3
Then, subtract 1 on both sides.
-2x = -4
Finally, divide -2 on both sides.
x = 2
Cecilia simplified an expression. Her work is shown below.
(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5)
Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
Step 2 7.75 times (4.5 divided by 0.5)
Step 3 7.75 times 9
Step 4 69.75
Where did Cecilia make her first mistake?
step 1
step 2
step 3
step 4
WIll mark brainliest !
Answer:second one
Step-by-step explanation:
you then have to distribute the answer not subtract 9 1/4 from 1.5
you have to do the parenthesis next
4.5/0.5=45/5=9
then
1.5*9= 13.5
then
9.25-13.5 which I think you are capable of solving
Answer:
Answer is B
Step-by-step explanation:
I did the test
Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
between XQL and MQR?
A.(146-4b)=(122-1b)
B. (146-4b)+(122-1b)=180
C(146-4b)-(122-1b)=180
D.(122-1b)-180=(146-4b)
Answer:
Option A is the right answer.
146-4b = 122-1b
Reason: vertical angles
Answer:
a
Step-by-step explanation:
I need these 2 question this is important like actually
Answer:
1) 1,3,5,7
2) I can't really see it, it is blurry. Im sorry
Step-by-step explanation:
HEY CAN ANYONE ANSWER DIS MATH QUESTION!!!!!!
Answer:
c. 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
the triangles are proportional.
if you look at AB and DE,
you'll notice that AB is half of DE.
so, triangle ABC's sides are half of triangle DEF
the measure DF is 10, so that means the measure AC is half of that, which is 5
............help plsss T.T
Answer:[tex]a, 8c^{4} d^{5} /2c^{3} d^{3}[/tex]
[tex]8c^{3}.c.d^{3}.d^{2} /2c^{3} d^{3}[/tex]
[tex]ans=4cd^{2}[/tex]
ans= [tex]b, 9a^{3} b^{5} /3ab^{2}\\3*3.a^{2}.a.b^{2}.b^{3} /3ab^{2} \\3a^{2}b^{3}[/tex]
Step-by-step explanation: hope this will help you
Which of the following are equivalent to
- 5/10?
A)- 1/2.
B)-5/-10.
C)- (4/8).
D)-0.5.
E)5/-10.
Select all that apply.
a,b and e Read the paragraph from The Evolution of Useful Things.
In 1916 the company's sales manager insisted that a laboratory be formed to carry out experiments and tests to ensure quality control so that salesmen would not be embarrassed by faulty products. The laboratory in time made possible the research and development necessary to produce new and improved items in response to problems experienced by sandpaper users.
Which words from the excerpt indicate an order of the events in this paragraph?
In 1916, to carry out
to carry out, ensure
so that, in time
In 1916, in time
What’s 10 x 3?? Please help me
Answer:
the answer is 30
Step-by-step explanation:
10 x 1 is 10, if you use multiple 10 x 2 it will be 20, the thing that will help is any number times 10. for example 10 x 5. use the smallest number (5) and add a zero next to it (50)
What is an equation of the line that passes through the point (-2,3) and is
parallel to the line for 4x- y = 1?
What is a supplementary angle?
Answer:
a supplementary angles are adjacent angles that have a sum of 180 degrees
Step-by-step explanation:
if a supplementary angle measure up.to 180 degrees and x is 3 times the measure.of angle y then 3÷180 is equal to 60 then 60 degrees is the answer .
Jake lives 15 times as far away from the mountains as Larry. If Larry lives 32 miles from the mountains, how many miles from the mountains does Jake live?
Answer:
480 miles
Step-by-step explanation:
Can someone help me please.
Answer:
Lena's Method: 280Jackson's Method: 280Step-by-step explanation:
Lena's Method:
8 + 12 = 20Plug 20 in: 14(20)14(20) = 14 × 20 = 280Jackson's Method:
14 × 8 = 11214 × 12 = 168Re-write the expression: 112 + 168112 + 168 = 280I hope this helps!
The length of the Amazon River in South America is 6,400 kilometers. What is the length written in scientific notation?
6.4 x 102 km
64 x 102 km
6.4 x 103 km
6.4 x 105 km
Answer:
[tex] 6.4 * 10^{3} km[/tex]
Step-by-step explanation:
Scientific notation can be defined as a way of expressing and writing a very small or large real number in decimal form. Generally, to use the scientific notation, we will multiply the real number by a power of 10.
Given that the length of Amazon River is 6,400 kilometers.
[tex] \frac{6400}{1000} = 6.4[/tex]
[tex] 1000 = 10^{3}[/tex]
Therefore,
6, 400 kilometers = 6.4 × 10³ kilometers.
