Answer:
The answer is
( 5 , 3)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
E (3, 4) and F (7,2)
The midpoint is
[tex]M = ( \frac{3 + 7}{2} \: , \: \frac{4 + 2}{2} ) \\ = ( \frac{10}{2} \: , \frac{6}{2} )[/tex]
We have the final answer as
( 5 , 3)Hope this helps you
What is the value of 32 x 107 in scientific notation?
1.6x 1014
?
0.5x 102
05.0x10
5.0 x 10
%
0.5x 107
Answer:
32x107=3424=3,424*[tex]10^{3}[/tex]
Step-by-step explanation:
Write the sentence as an inequality. Three times a number r plus 8 is fewer than −12
Answer: [tex]3r+8<-12[/tex].
Step-by-step explanation:
It is given that three times a number r plus 8 is fewer than −12.
We need to write the sentence as an inequality.
Three times a number r = 3r
Times a number r plus 8 = 3r+8
Fewer than = less than = <
So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is
[tex]3r+8<-12[/tex]
Therefore, the required inequality is [tex]3r+8<-12[/tex].
The inequality that describes the sentence is:
[tex]3r + 8 < -12[/tex]
--------------------------------
3 times 1 is [tex]3 \times 1 = 3[/tex], 3 times 2 is [tex]3 \times 2 = 6[/tex], and so on, thus 3 times a number r is [tex]3 \times r = 3r[/tex].The plus word means that we have an addition operation, plus 8, thus [tex]3r + 8[/tex]Fewer than -12 means that the less than -12 completes the inequality, thus:[tex]3r + 8 < -12[/tex]
Which is the inequality that describes this situation.
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Apples cost $2 per pound. Write an equation to represent how many pounds of apples you can buy for $20
Answer:
10
Step-by-step explanation:
20/2=10
Answer:
10
Step-by-step explanation:
20÷2=10
twenty divided by two is ten
use suitable Identities and find
●( X - 5 ) ( x-5 )
●( 3x +2 ) (3x -2 )
●( 1+x )(1+x)
Answer:
[tex].[/tex]
Step-by-step explanation:
IdEnTiTy UsED[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
1)
[tex](x - 5)(x - 5)[/tex]
=(x-5)²
2)
[tex](3x - 2)(3x + 2)[/tex]
[tex] {(3 x)}^{2} - {(2)}^{2} [/tex]
[tex] = 9 {x}^{2} - 4[/tex]
3)
[tex](1+x)(1+x)[/tex]
= (1+x)²
100 pts, Easy question: 2 + (-4)
Answer:
2 + (-4) equals -2
Answer:
-2
Step-by-step explanation:
A positive number plus a negative number equals another negative number
emily created the net worth statement shown. Based on the Information in the table, what is emilys net worth ?
Answer:
the answer is B
Step-by-step explanation:
net worth is liabilities minus assets
Alice’s school has purchased a new $10,000 copier. The copier depreciates in value by 15% every year. The principal will replace the copier when it drops below 10% of its original value.
The inequality 10,000()t < can be used to represent the situation.
The solution set for the inequality is (, ∞).
Answer:
The inequality 10,000 (0.85)^t < (1,000) can be used to represent the situation.
The solution set for the inequality is (14.168)
Answers: 0.85, 1,000, 14.168
The solution set for the inequality is (15, ∞).
What is depreciation?The monetary value of an asset decreases over time due to use, wear and tear or obsolescence. This decrease is measured as depreciation.
What is compound interest for depreciation?If the reduced value of the goods is compounded for fixed time then it is called compound depreciation.
Formula of compound interest for depreciation:
[tex]A = P(1-\frac{r}{100} )^{n}[/tex]
Where,
A= Final Amount
P = initial Principal
n = time in years
r = rate per annum
According to the question
New copier costs (p) = $10,000
depreciates in value every year (r) = 15%
The principal will replace the copier when it drops below 10% of its original value.
i.e Final amount should be less than [tex]$10,000 * \frac{10}{100}[/tex]
A is < $ 1000
Using compound interest formula :
[tex]A = P(1-\frac{r}{100} )^{n}[/tex]
[tex]1000 > 10000(1-\frac{15}{100} )^{n}[/tex]
[tex]0.1 > (0.85 )^{n}[/tex]
n ≈ 14.168
n = after 15years (next whole no)
Hence , The solution set for the inequality is (15, ∞).
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14x-10=3 (4+x); solve for x
Answer:
x = 2
Step-by-step explanation:
So we are given the equation 14x - 10 = 3(4 + x) and we are asked to solve for x. To this, we will have to get x by itself on one side and a value on the other side.
14x - 10 = 3(4 + x)
Distribute the 3 on the right side.
14x - 10 = 12 + 3x
Add 10 to both sides.
14x = 22 + 3x
Subtract 3x from both sides.
11x = 22
Divide both sides by 11.
x = 2
So now we got the answer of x = 2.
I hope you find my answer helpful.
Answer:
x = 2
Step-by-step explanation:
14x - 10 = 3(4+x)
=> 14x -10 = 12 + 3x
=> 14x - 3x = 12 + 10
=> 11x = 22
=> x = 22/11
=> x = 2
One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 510, find the numbers
Answer:
82
Step-by-step explanation:
solve a + (3a) + (a + 100)=510
Which information do you know is true from the diagram? Check all that apply.
∠ABD is a right angle.
Ray B C bisects angle ∠ABD.
m∠ABC = 45°
m∠CBD = 45°
m∠ABD = 90°
Answer:
a and e
Step-by-step explanation:
All the given option are true.
m∠ABC = 45° (true)
m∠CBD = 45° (true)
m∠ABD = 90° (true)
What is angle bisector ?
angle bisector is the line which divides the given angle into two equal parts.
Here, it is given that the angle [tex]\angle ABD[/tex] is a right angle triangle that is it will make an angle of 90 degree and the angle bisrector BC will divide the angle into two equal part that is [tex]\angle ABC = \angle BCD = 45^{o}[/tex].
Therefore, all the given conditions are true.
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Mrs. Bell has an interest rate of 4.175% on her house. Mr. Bentley has an interest rate of 4.25% on his house. Which explains who has the lower interest rate?
A.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 0 thousandths is less than 5 thousandths.
B.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 5 hundredths is less than 7 hundredths.
C.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 7 hundredths is less than 5 hundredths.
D.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.
Answer: D. Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 the third is less than 2 tenths.
Answer:
D
Step-by-step explanation:
What conclusion can be drawn by observing that 20 is to the right of 10 on a number line?
3) There are 35 people living in poverty and 42 people not living in poverty
1) John says that the ratio of people living in poverty to the people not living in poverty is 5:7. Explain why John is or is not correct. Use a diagram to support your answer.
Answer:
John is not correct
Step-by-step explanation:
(Unless you meant 5:6)
Make the base question into [tex]\frac{35}{42}[/tex]
simplify as much as possible. I found the Greatest Common Denominator (GCF) of 35 and 42, which was 7
divide 35 and 42 by the GCF (7), and you should get 5:6 as your answer.
8x+9-4x=25. I for real need help
Answer:
x=4
Step-by-step explanation:
8x+9-4x=25
8x-4x=4x (combined like terms)
4x+9=25
4x+9-9=25-9 (subtract 9 from both sides)
4x=16
4x/4=16/4
x=4
Hope this helps!
In each sack, there are 10 bags. In each bag, there are 5 pouches. Which number completes the equation that relates p, the number of pouches, and s, the number of sacks?
Answer: p = 50 s
Step-by-step explanation:
Given: In each sack, there are 10 bags. In each bag, there are 5 pouches.
i.e. Total pouches in each sack = (Number of bags in each sack) x (Number of pouches in each each bag)
= 10 x 10 =50
Let p = number of pouches, and s= the number of sacks
Then, Number of p pouches in s sacks will be given by-
p = 50 s , which is the required equation.
Solve the equation for X
4=6/ax+5
Answer:
x - 4 = 10 Solution.
2x - 4 = 10 Solution.
5x - 6 = 3x - 8 Solution
2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3 Solution.
Solution.
Step-by-step explanation:
The value of x in the given expression is -a/6
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 4 = 6x / a + 5
Solving for x, we get,
4 = 6x / a + 5
Subtracting 5 both the side,
6x / a = -1
Multiplying by a both the sides,
6x = -a
Dividing by 6 both sides,
x = -a/6
Hence, the value of x is -a/6
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pls help asap!! Thank you! :D
point e is the midpoint of segment DF.if de is 8 what is the length of df
What is the solution set for the inequality Negative one-fourthx2(x – 4)(x +5) ≤ 13?
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Seven more than twice a number is 17
Answer:
2x + 7 = 17 using algebra equation you can resolve ir
Convert 5 and 2/7 into a improper fraction.
Answer:
14 divide 5 =3.1 is your answer if I'm not wrong
Answer:
37/7
Step-by-step explanation:
First you multiply 5 by the denominator which is 7 which will equal to 35 and then you add the numerator which is 2 to that and you get 37/7
What is the median of the following numbers: 100, 99, 81, 99, 86.
Need help? Click here.
93
99
0465
None of the other answers are correct
Answer:
its 99
Step-by-step explanation:
because it is the middle of your set after you arrange them in order from least to greatest
The PTA has 25 members. Each member must pay $5.50 in membership dues. In the first week of school, 11 members paid their dues. The remaining members paid during the second week. How much money was collected in dues during the second week of school?
Answer:
$77.00
Step-by-step explanation:
25-11= 14
14 x 5.50= 77
Pete ate 3/7 of a pizza if Pete ate 9 slides of the pizza how many slices were ther all together
Answer:
21 slices
Step-by-step explanation:
given:
3/7 of a pizza ----> represents 9 slices
hence,
1/7 of a pizza -------> represents 9/3 = 3 slices
therefore
a whole pizza
= 7/7 of a pizza -------> represents 3 x 7 = 21 slices
Answer:
Hi there!!
Your answer is:
21 slices
Step-by-step explanation:
3/7ths = 9 slices
× 7/3
1 whole pizza = 21 slices
This is called the multiplicative inverse! 3/7 × 7/3 = 1
Hope this helps!
Himari is solving the equation 4( x - 3 ) =16. Her first step is 4x - 12 = 16 math nation
Steps to solve:
4(x - 3) = 16
~Distribute left side
4x - 12 = 16
~Add 12 to both sides
4x = 28
~Divide 4 to both sides
x = 7
Best of Luck!
If (8^9)p=8^18,what is the value of p? 20 points
[tex]:\implies\sf\:(8^9)^p=8^{18}[/tex]
[tex]\dag\bf\:(a^m)^n=a^{mn}[/tex]
[tex]:\implies\sf8^{9p}=8^{18}[/tex]
[tex]\dag\bf\:18=9\times 2[/tex]
[tex]:\implies\sf\:8^{9p}=8^{9\times 2}[/tex]
[tex]\dag\bf\:a^x=a^y\:\longrightarrow\:x=y[/tex]
[tex]:\implies\sf\:9p=9\times 2[/tex]
[tex]:\implies\boxed{\bf{\red{p=2}}}[/tex]
When you add a positive and negative number, how can you tell whether the sum will be positive or Negative?
Answer:
just remember this:
negative x negative = positive
positive x positive = positive
postive x negative = negative
negative x postive= negative
lookon bbcbitesize for adding negatives and positive rule
hi can someone help please
Answer:
put ur protactor from the middle to where its up to then look at where the line is and you will get your answer
Answer:
Step-by-step explanation:
1. PQR is an equilateral triangle formed by 3 diagonals of the cube. Therefore, it would be 60 degrees. 2. An angle which measures less than 90° is called an acute angle. The measure between 0° to 90°. In the picture below, the angle formed by the intersection of PQ and QR at Q forms an angle PQR which measures 45°. Thus, PQR is called an acute angle.
6 less than a number t?
Answer:
t-6
Step-by-step explanation:
listen to how the statement is worded, it will help with other problems like this.
