Answer:
Step-by-step explanation:
(-3+1)/2 = -2/2 = -1
(8+2)/2 = 10/2 = 5
(-1, 5)
Answer:
[tex]\boxed {(-1, 5)}[/tex]
Step-by-step explanation:
Use the Midpoint Point Formula to determine the midpoint of two given points:
[tex](\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]
First point: [tex](x_{1}, y_{1})[/tex]
Second point: [tex](x_{2}, y_{2})[/tex]
-Substitute the given points:
First point: [tex](-3, 8)[/tex]
Second point: [tex](1, 2)[/tex]
[tex](\frac{-3 + 1}{2}, \frac{2 + 8}{2})[/tex]
-Solve the equation:
[tex](\frac{-3 + 1}{2}, \frac{2 + 8}{2})[/tex]
[tex](\frac{-2}{2}, \frac{10}{2})[/tex]
[tex]\boxed {(-1, 5)}[/tex]
Thus, the midpoint is [tex](-1, 5)[/tex].
what is the slope of the line that passes through the points
(5,1) and (2,-7)
A.) 3/8
B.) -8/3
C.) 8/3
D.) -3/8
Slope is the change in y over the change in x:
Slope = (-7 - 1) / (2 - 5)
Slope = -8/-3
Slope = 8/3
HELP ASAP!! What is the measure of the radius of OM?
Answer:
10.5, i just looked it up so pardon if its wrong.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Just took the test
What single percentage change is equivalent to a 17% decrease followed by a 12% increase
Answer:
7.04% decrease
Step-by-step explanation:
Lets use 5 example
5*0.17=0.85
5-0.85=4.15
4.15*0.12=0.498
4.15+0.498=4.648
7.04% of 5 is 4.648
A math tutor decides to increase his wage by 11%. What expression shows his new wage after the 11%
Answer:
1.11w
Step-by-step explanation:
Let initial wage = w
Percentage increase in wage = 11%
Using the relation :
New Amount = initial * (1 + % increase)
New Amount = w * (1 + 0.11)
New amount = w * (1.11)
New amount = 1.11w
Restaurant etiquette dictates that you should leave a 15% tip for the server if the service is acceptable. If that is the case, how much should you tip if your total is $32.00?
you have 576 grams of radioactive kind of mercury. if its half-life is 64 hours,how much will be left after 256 hours?
Answer:
36 gramsStep-by-step explanation:
Amount of radioactive material = 576 gramsHalf-life = 64 hoursTime = 256 hoursCycles of reduction:
256/64 = 4Material will be left:
576*(1/2)^4 = 576*1/16 = 36 gramsAnswer:
36 grams
Step-by-step explanation:
We have 576 grams of the mercury like substance.
Half of it's lifespan is 64 hours.
The time is 256 hours.
256 ÷ 64 = 4
Material will be left:
576 x [tex](1/2^{4} )[/tex]
576 x 1/16 = 36 grams
What fraction goes in the box to make it correct?4×□=1
Answer:
1/4
4 × .25 = 1
The points given in the table lie on a line. Find the slope of the line.
х
-2
3
8
13
y
1
4
7
10
We must use the given numbers from the table to graph the line.
According to this graph, the slope of the line is [tex]\frac{3}{5}[/tex].
According to this graph, the slope of the line will be; 3/5.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
The slope of parallel lines is the same. Slopes of perpendicular lines are negatively reciprocals of each other.
Using any two pairs from the table of values given, (-2, 1) and (3, 4):
Where, y = 4, q = 1
x = 3, p = -2
Plug in the value into the slope formula;
[tex]m = \dfrac{y-q}{x-p}\\ m = \dfrac{4-1}{3 + 2}[/tex]
m = 3/5
According to this graph, the slope of the line will be; 3/5.
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-2(n - 12) + 1 = -2n + 25 how many solutions can be found
Answer: One
Step-by-step explanation:
A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.
What is the value of x?
14
15
16
17
Answer:
14
Step-by-step explanation:
fjgejrguiy4fvjbbyeuakg2y5765n
identify the x-intercept of −5x+y=−10
Answer:
(2,0)
Step-by-step explanation:
You know that y for your x-intercept has to be 0 so just plug in 0 for y and solve from there
!help ASAP ( FREE BRAINLIST:)
Answer: (1,500 = 30) (90 = 1.80)
Step-by-step explanation:
(1,500 = 30) (90 = 1.80) - This I'm pretty sure is the answer.
Is 78 − –5 positive or negative?
Answer: it would be a positive
Answer:
the answer is positive because 78 is bigger than -5
Step-by-step explanation:
PLEASE HELP!!!!!!!
A sidewalk sale is going on in the local town. The sale consists of leggings for $12 and t-shirts for $10. Becky is hoping to purchase two pairs of leggings and some t-shirts. If she has no more than $36 to spend, how many t-shirts can she buy if she also buys two pairs of leggings? Set up and graph the inequality. Use the graph to answer the question. Show all work and explain how the graph illustrates the answer.
Answer: 2 pair of leggings is $24 she has $36 so she can buy 1 shirt
Find the equation of the line with slope =10 and passing through (-6,7). Write your equation in point slope form AND slope intercept forms.
Answer:
The equation of the line in the slope-point form is y - 7 = 10(x + 6)
The equation of the line in the slope-intercept form is y = 10x + 67
Step-by-step explanation:
The slope-point form of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the point lies on the lineThe slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-intercept∵ The slope of the line is 10
∴ m = 10
∵ The line passes through the point (-6, 7)
∴ x1 = -6 and y = 7
→ Substitute them in the slope-point form above
∵ y - 7 = 10(x - -6)
∵ (-)(-) = (+)
∴ y - 7 = 10(x + 6)
∴ The equation of the line in the slope-point form is y - 7 = 10(x + 6)
→ Substitute m in the slope-intercept form
∵ y = 10x + b
→ To find b substitute x by -6 and y by 7 in the equation
∵ 7 = 10(-6) + b
∴ 7 = -60 + b
→ Add 60 to both sides to find b
∴ 67 = b
→ Substitute the value of b in the equation
∴ y = 10x + 67
∴ The equation of the line in the slope-intercept form is y = 10x + 67
write any 5 safety measures that should be followed while working at industry .
1. Tell whether each function is linear or not.
A.6x2 = 12. Yes/no
B.3xy=27 Yes/no
C.-2(x+y)+9=1. Yes/no
D.4-3y = 2x +9. Yes/no
What is the converse of the following statement?
If M is the midpoint of
then
PM
OM
is congruent to
PO
If M is the midpoint of
, then PM is congruent to
Ом
o
If M is not the midpoint of PC, then PM is not congruent to
OM
IF PM is not congruent to
OM
then M is not the midpoint of Po
IF PM is congruent to OM, then Mis the midpoint of Fo.
Answer:
OM is congruent to PO, if M is the midpoint of PM
Step-by-step explanation:
a Converse means If q , then p .
In this case ''M is the midpoint of then PM'' that would be P
Q would be '' OM is congruent to PO'' .
Reverse the statements.
Angela uses a scanner to make a reduced-size copy of a rectangular
photo that is 6 inches long and 4 inches wide. The length of the
reduced photo is 4 inches. What is its width?
Answer:
[tex]\dfrac{8}{3}\ \text{inches}[/tex] or [tex]2.67\ \text{inches}[/tex]
Step-by-step explanation:
The photo has length 6 inches and width 4 inches.
The ratio of length to breadth is
[tex]\dfrac{l}{w}=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
Now the reduced length of the photo is 4 inches.
Let [tex]x[/tex] be the reduced width of the photo
[tex]\dfrac{3}{2}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{3}\times2\\\Rightarrow x=\dfrac{8}{3}\ \text{inches}=2.67\ \text{inches}[/tex]
The width of the reduced photo is [tex]\dfrac{8}{3}\ \text{inches}[/tex] or [tex]2.67\ \text{inches}[/tex].
Which number is the greatest?
Select one:
103
72
94
178
Calcula y:
14x - 5y = 60
8x - 2y = 36
Seleccione una:
A. 2
B. 6
C. 10
D. 5
E. 8
Answer:
Step-by-step explanation:
-28x + 10y = -120
40x + 10y = 180
12x = 60
x = 5: D is the answer
8(5) - 2y = 36
40 - 2y = 36
-2y = -4
y = 2: A is the other answer
Tony makes a phone call at a pay phone. The charge is 25 cents for the first four minutes,
and 10 cents for each additional minute. Tony has $2.10 in change in his pocket. Write an
inequality that can be used to find m, the maximum number of minutes that Tony can talk
on the phone. Solve this inequality algebraically to find the maximum number of whole
minutes he can talk on the phone.
Answer:
it would be a max of 22 mins
Step-by-step explanation:
25C=4 mins
10C*10 mins =1$
$1.25
2.10-1.25=.85
10C*8=80C
so
4+10+8=22
Tony can talk for a maximum of 22 minutes on the phone which is determined by the inequality 0.25 + 0.10 (x-4) ≤ 2.10.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
According to the given question, we can write the inequality would be as:
⇒ 0.25 + 0.10 (x-4) ≤ 2.10
x = an integer number of minutes.
Subtraction is required since the first four are covered by the 0.25 price. Because fractional minutes count as a full minute, an integer is required.
⇒ 0.25 + 0.10x -0.40 ≤ 2.10
⇒ -0.15 +0.10 x ≤ 2.10
⇒ 0.10x ≤ 2.25
⇒ x ≤ 2.25 /0.10
⇒ x ≤ 22.5 ≈ 22
Therefore, the maximum number of whole minutes will be 22 minutes.
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Answer this please I’m really struggling
Answer: x=10, y=7.5
Step-by-step explanation:
For this problem, we are given that BD bisects ABC. That means ABD and DBC are equal to each other. We are also given that ABC is 25. With the given information, we can create two equations.
Equation 1: 2x-y=3y-x
Equation 2: 2x-y+3y-x=25
Now, we can solve for x and y.
2x-y+3y-x=25 [combine like terms]
x+2y=25
Let's simplify Equation 1 by solving for a variable.
2x-y=3y-x [add both sides by x]
3x-y=3y [add both sides by y]
3x=4y [divide both sides by 3]
x=4/3y
Now that we have x, we can plug it into any equation to solve for y.
x+2y=25 [plug in x=4/3y]
(4/3y)+2y=25 [combine like terms]
10/3y=25 [multiply both sides by 3/10]
y=15/2
Now we can plug in y=15/2 to solve for x.
x=4/3y [plug in y=15/2]
x=4/3(15/2) [multiply]
x=10
Now, we know that x=10 and y=7.5.
Gianna is working two summer jobs, making $12 per hour washing cars and $8 per
hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of
$48. Graphically solve a system of equations in order to determine the number of
hours Gianna worked washing cars last week, x, and the number of hours Gianna
worked landscaping last week, y.
Answer:
x + y = 5
12x + 8y = 48
x = -y + 5
12(-y + 5) + 8y = 48
-12y + 60 + 8y = 48
-4y + 60 = 48
-4y = -12
y = 3
x + 3 = 5
x = 2
12(2) + 8(3) = 48
24 + 24 = 48
x = 2 hours of washing cars
y = 3 hours of landscaping
Hope this helps!!
- Kay
The value of x and y should be 2 and 3.
Calculation of the value of x and y:
Since Gianna is working two summer jobs, making $12 per hour washing cars and $8 per hour landscaping. Last week Gianna worked a total of 5 hours and earned a total of $48.
So here the equation should be
x + y = 5
12x + 8y = 48
we can write as
x = -y + 5
So,
12(-y + 5) + 8y = 48
-12y + 60 + 8y = 48
-4y + 60 = 48
-4y = -12
y = 3
Now
x + 3 = 5
x = 2
Therefore, The value of x and y should be 2 and 3.
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How many quarts is 10 pints?
Answer:
5
Step-by-step explanation:
I used google
Elmer walked 5.4 miles every day. How far did he walk in 11 days?
Answer:
59.4
Step-by-step explanation:
Answer:
He walked 59.4 miles in 11 days
Step-by-step explanation:
You take the number of miles he walked in one day, (5.4), then multiply it by the number of days he walked (11), so the answer is 59.4
Yesterday,
grace drove 35 1/2used
gallons 1 1/4 of gasoline. What is the unit rate for miles per gallon?
Answer:
The unit rate for miles per gallon is 33.75. 33.75 as a fraction 135/75
Step-by-step explanation:
35.5 divided by 1.75 is 33.75
33.75 as a fraction is 135.75 which is an improper fraction
So you have to divide the numerator by the denominator
135 divided by 75 is 1.8 as a decimal
Answer:
28.4
Step-by-step explanation:
35 1/2 miles over 1 1/4 gallons of gasoline. 1 1/4 converted into an improper fraction is 5/4, so you multiply the numerator and denominator by 5/4. You need to multiply by 5/4 because you need to get to miles per gallon, which equals to 1. (A fraction multiplied by its reciprocal will always equal 1) once you've multiplied the numerator and denominator by the reciprocal, your answer will be 28.4 - hope this helped!
what is 4.25% as a decimal
Answer:
0.0425
Step-by-step explanation:
Answer:
0.0425
Step-by-step explanation:
hope this helped ^^
James asks 60 pupils which drink they liked best from cola milk and water 32 boys were in the survey 12 of the boys said they liked cola the best 4 boys and 9 girls liked water the best 21 pupils said they liked milk altogether How may students altogether liked cola the best
Answer:
Students altogether liked cola the best 26
Step-by-step explanation:
Total no of pupils = 60
Boys = 32
girls = 28
we will make a table
Gender cola milk water total
Boys 12 4 32
Girls 9 28
we can find the missing numbers
Let x be for milk
In boys 12 + x + 4 = 32
x = 16
In girls
as 21 liked milk altogether
so girls = 21 - 16 = 5
Gender cola milk water total
Boys 12 16 4 32
Girls 5 9 28
For cola let y
in girls
y + 5 + 9 = 28
y = 14
Gender cola milk water total
Boys 12 16 4 32
Girls 14 5 9 28
Altogether cola = 14 + 12 = 26
Answer:
26
Step-by-step explanation:
answer is 26
trust
How far is 75% of 2000 km trip
Answer:
1, 500km
Step-by-step explanation:
[tex] \frac{75}{100} \times 2000 \\ \\ = 1500[/tex]
Answer: 1,500km
Step-by-step explanation: