Answer: 10
Step-by-step explanation:
Cost of any plan = Joining fee + (Per month fee ) × (number of months )
Let x be the number of months for which the cost of each plan is equal.
Cost of plan A = 130 + 12 x
Cost of plan B = 0+ 25x = 25x
According to the question,
[tex]25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10[/tex]
Hence, the number of months for which the cost of each plan is equal is 10.
A baseball team played 154 complete games last season. They had 30 fewer wins than losses. How many games did the team win?
a 92 games
b 62 games
c 30 games
d 154 games
Answer:
a
Step-by-step explanation:
1. Given: AB = 64; M lies on the line AB
AM = 4x + 4 BM= 6x-10
Prove: M is a midpoint.
Statements: Reason:
1) M lies on AB 1) Given
AB= 64
2) AM+MB=AB 2) ?
3) 4x+4+6x-10=64 3) ?
4) 10x- 6 = 64 4) ?
5) 10x=70 5) ?
6) x = 7 M 6) ?
7) AM= 4(7) + 4 7) substitution
MB = 6(7) - 10
8) AM=32 and 8) simplify
Mb = 32.
9) M is a midpoint. 9) ?
Reasoning bank for #1
Addition Property of equality
Combine like terms
Definition of midpoint.
Division property of equality
Segment addition postulate
Answer:
Step-by-step explanation:
Given the following lengths AB = 64, AM = 4x + 4 and BM= 6x-10, If M lies on the line AB then AM+MB = AB (addition property)
Substituting the given parameters into the addition property above;
AM+MB = AB
4x + 4 + 6x - 10 = 64
combine like terms
4x+6x = 64+10-4
10x = 74-4
10x = 70
Divide both sides by 10
x = 70/10
x = 7
Note that for M to be the midpoint of AB then AM must be equal to BM i.e AM = BM
To get AM ;
Since AM = 4x+4
substitute x = 7 into the function
AM = 4(7)+4
AM = 28+4
AM = 32
Similarly, BM = 6x-10
BM = 6(7)-10
BM = 42-10
BM = 32
Since AM = BM = 32,. then M is the midpoint of AB
which expression describes the set of numbers given by the interval:
Answer:
A
Step-by-step explanation:
Looking at the interval, we can see that this includes all of the numbers coming from negative infinity all the way up to -1.
In other words, the set being described here are all the numbers less than or equal to -1.
Another way to write this is all numbers no more than -1.
Thus, our answer is A.
And we're done!
Point M is the midpoint of FG. Can the value of variable a be determined? Explain.
a
G(24,30+3)
M(3,5)
F[b+1 a+2)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is
B. To determine the value of a, set the x- and y-coordinates of G and Fequal to each other and solve for a The value of a is
C. To determine the value of a, divide each coordinate of M by 2. Then add each quotient to the x-and y-coordinates of M. The value of a is
D. Not enough information is given for the value of a to be determined.
Answer:
A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is 2
Step-by-step explanation:
Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;
M(X, Y) = (x₁+x₂/2, y₁+y₂/2)
X = x₁+x₂/2 and Y = y₁+y₂/2
From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5
Substituting the given parameters into the formula, we can form up a simultaneous equation and get the value of a.
To determine the value of a, set up and solve a system of equations in two variables
For the X coordinates;
X = x₁+x₂/2
3 = b+1+2a/2
6 = 2a+b+1
2a+b = 5 ............... 1 * 1
For the Y coordinates;
5 = a+2+3b+3/2
cross multiply
10 = a+2+3b+3
collect like terms
a+3b = 10-2-3
a+3b = 5 ........ 2 * 2
Solving the resulting simultaneous equation to get the value of a
multiply equation 1 by 1 and 2 by 2 to have the resulting equations;
2a+b = 5 ...........3
2a +6b = 10.......... 4
subtract 3 from 4
(2a-2a)+(b - 6b) = 5-10
0-5b = -5
b = -5/-5
b = 1
substitute b =1 into equation 1 to get a;
2a + b = 5
2a + 1 = 5
2a = 5-1
2a = 4
a = 2
From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2
Last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnell practiced the piano for 11 hours. For how many hours did each young man practice the piano?
Answer:
4 hours and 7 hours
Step-by-step explanation:
Marcus = x hours
Donnell = x + 3 hours
Total = 11 hours
x + x + 3 = 112x + 3 = 112x = 8x = 4So Marcus practiced 4 hours and Donnell practiced 7 hours
Answer:Marcus=4 Donnell=7
Step-by-step explanation:11-3=8
8÷2 =4
4+3=7 hours used by Donnell
Remaining 4 hours is used by Marcus
The medicinal thermometer commonly used in homes can be read to pm0.1°F, whereas those in the doctor's office may be accurate to pm0.1°C. In degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.7°C.
Correct question is;
The medical thermometer commonly used in homes can be read +/-0.1 °F, whereas those in the doctor's office may be accurate to +/- 0.1 C in degrees Celsius, express the percent error expected from each of these thermometers in measuring a person's body temperature of 38.9 °C
Answer:
A) percent error in homes = 0.144 %
B) percent error in doctors office = 0.257 %
Step-by-step explanation:
A) Temperature is 38.9° C
Converting to Fahrenheit using the formula; (°C × 9/5) + 32
So;
(38.9°C × 9/5) + 32 = 102.02 °F
Since thermometer in homes can be read to +/-0.1 °F, then
Expected values = 102.02 +/- 0.1 = 102.12 °F or 101.92 °F
Since we want to find the error from °C, let's convert to °C.
We will use 101.92 °F.
Thus; 102.12 °F = (101.92 - 32) × 5/9 = 38.844 °C
Thus percent error = (38.9 - 38.844)/38.9) × 100% = 0.144 %
B) Temperature is 38.9 °C
Since thermometer in Doctors office can be +/- 0.1 °C, then;
Expected values = 38.9 +/- 0.1 = 38.8 °C or 39 °C.
We will use 38.8°C
Thus;
percent error = (38.9 - 38.8)/38.9) × 100% = 0.257 %
A car travels 200 meters, then turns right and travels 80 meters and finally makes a U-turn and travels another 120 m. If this is all done in 200
seconds, what is the average speed ?
help pleaseeeee
Answer:
2 m/s
Step-by-step explanation:
Since speed is total distance over time, we first need to find the total distance the car traveled.
Total distance = 200 + 80 + 120 = 400 m
total time = 200 sec
speed = distance/time = 400/200 = 2 m/s
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Keli is buying pajamas for her five closest friends. Using the graph shown below, how much money will it cost her if she decides to buy a sixth pair of pajamas for herself?
Kelli's Gifts
80
70
60
50
Cost (dollars)
40
30
20-
10
6
0 1 2 3 4 5
Number of Pajamas
A $62.50
B
$75.00
с
$80.00
D
$150.00
Answer:
Your answer is B
Step-by-step explanation:
Because if they are already $60 and she wants one more it would be $75
The cost for the 6th pajama bought by Keli is given as $85.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
The equation of the straight line from the given graph can be formed as below,
Take any two coordinates from the graph as (1, 10) and (2, 25) respectively.
Suppose the cost be y and the number of pajamas be x.
Now, the equation for the slope can be written as,
(y - 10)/(x - 1) = (25 - 10)/(2 - 1)
⇒ (y - 10)/(x - 1) = 15
⇒ y = 15x - 5.
Then, the cost of 6th pajama can be calculated by substituting x = 6 in the above equation as,
y = 15 × 6 - 5
= 85
Hence, the cost of sixth pair of pajama is $85.
To know more about straight line equation click on,
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Matthew is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 17 minutes after being turned on? What is the temperature of the oven t t minutes after being turned on?
Which of the following ratios are equivalent to 60%?
Check all that apply.
O A. 4:6
OB. 10:20
O C. 12:36
O D. 3:5
O E. 15:25
Answer:
D. 3:5 and E. 15:25
Step-by-step explanation:
If it is 60%, it means that the ratio is 6:10 (60/100).
Because both 6 and 10 are divisible by 2, we can then simplify the ratio to 3:5.
Therefore it is D. 3:5
We can then multiply both sides by 5 which will give us 15:25, so E is also correct.
The others of not correct because they are not equivalent to the ratio 3:5.
Hope this helped!
how does a compass and straightedge help you make a triangle
Answer:
A compass and straightedge allow for a more accurate rendition of a triangle, especially one needed to be specific measures
Step-by-step explanation:
Matthew had overdrawn his account by $25.62 over the weekend so his bank charged him a $45 overdraft fee. What is his balance now?
Answer:
$70.62
Step-by-step explanation:
25.62 is the money he had overdrawn
45 is the money money charged buy the bank for overdraft fee
So the Total balance to the bank is
25.62+45=$70.62
∠A and ∠B are complementary angles. If m ∠A = (8x – 23)° and m
∠B= (7x – 7)º, then find the measure of ∠A.
Complementary angles are angles whose sum is 90 degrees.
This means that we can make an equation.
[tex](8x-23)+(7x-7)=90[/tex]
[tex]15x-30=90[/tex]
[tex]15x=120[/tex]
[tex]x=8[/tex]
Then we can plug in the value we got into the express for angle A's measure.
[tex]8(5)-23[/tex]
[tex]40-23[/tex]
[tex]17[/tex]
The measure of angle A is 17 degrees.
Hope this helps.
頑張って!
l= a+(n-1)d
SOLVE FOR N
Answer:
[tex]n = \frac{l-a}{d}+1[/tex]
Step-by-step explanation:
[tex]l= a+(n-1)d\\[/tex]
[tex]l -a =(n+1)d[/tex]
Divide both sides of the equation by d
[tex]\frac{l-a}{d} = \frac{(n-1)}{d}\\ \\\frac{l-a}{d} = n-1\\\\\frac{l-a}{d}+1 = n[/tex]
15 = 2x – 10 step and solution
Answer:
12.5 =x
Step-by-step explanation:
15 = 2x – 10
Add 10 to each side
15+10 = 2x – 10+10
25 = 2x
Divide by 2
25/2 = 2x/2
12.5 =x
Answer:
25/2
Step-by-step explanation:
2x-10=15
+10 +10
2x=25
divide both sides by 2 to get 25/2
Geometry question pls help
Answer:
25π/6 yd
Step-by-step explanation:
∠DCE = 110°, so arc DFE = 360° − 110° = 250°.
In radians, that's 250° × π/180° = 25π/18.
Arc length is:
s = rθ
s = (3 yd) (25π/18)
s = 25π/6 yd
seven kilometers is how many meters
Answer:
Step-by-step explanation:
Hello,
1km=1000m, right?
so 7km = 7 * 1000 m = 7000m
thanks
A taxi cab charges $1.50 for the flat fee and $0.50 for each mile. Write an inequality to determine how many miles Sharon can travel if she has $25 to spend
Answer:
agree with previous answer
HELP PLEASE
Order the numbers from LEAST to GREATEST
-5/6, -1/2, 2/3
Answer:
-5/6,-1/2,2/3
Step-by-step explanation:
6 1/4 - 2 3/8 explain
it is 3.875
if you subract the two fraction it makes 31/8. then devide it which makes 3.875
what is 90 percent of 20 percent
Answer:
18
Step-by-step explanation:
Every 2 is 10 percent.
2 x 9 = 18.
The answer is 18.
Answer:
18%
Step-by-step explanation:
change 90 to a decimal and 20 and multiply then you would get 18 add a % sign and you have your answer
Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
Answer:
Apply inverse law
a a⁻¹ = 1
The solution of the given linear equation is x = -6
Step-by-step explanation:
Step(i):-
Given equation -3 x-5=13
Adding '5' on both sides, we get
- 3 x - 5 + 5 = 13 + 5
- 3 x = 1 8
step(ii):-
apply inverse law
a a⁻¹ = 1
(- 3)(-3)⁻¹ x = 18 (-3)⁻¹
x = 18/-3 = -6
(or)
Dividing '-3' on both sides , we get
[tex]\frac{-3 x}{ -3} = \frac{18}{-3}[/tex]
x =- 6
Jane is in charge of making a banner for the basketball game this Saturday. She measures how long the banner is before painting it. She finds it measures 10meter
Answer:
It can either be length , width or the perimeter of the banner
Step-by-step explanation:
The measurement of 10 meters that Jane took after measuring how long the banner is before painting is the LENGTH of the banner.
This is clear from the unit of what she finds (meters). It only indicates the measurement of one part of the banner, even though a banner has two parts, the length and width.
A farmer has some chickens and rabbits. There are 60 eyes and 100 legs altogether. How many chickens and how many rabbits are there?
Answer:
20 rabbits, 10 chickens
Step-by-step explanation:
Because chickens and rabbits each have 2 eyes, the number of animals is 60 ÷ 2 = 30.
Let's say that all of the 30 animals are chickens. There would be a total of 30 × 2 = 60 legs.
So the extra (100 – 60) = 40 legs must have come from the rabbits.
Every rabbit has (4 – 2) = 2 more legs than a chicken.
So there are 40 ÷ 2 = 20 rabbits and 30 – 20 = 10 chickens.
Answer:
20 rabbits and 10 chicks
Step-by-step explanation:
ABC and QRS are complementary angles. ABC:41 so what is QRS
Answer:
49
Step-by-step explanation:
Complementary angles always add up to 90 degrees, so make and equation. First, say that angle ABC and angle QRS add up to ninety degrees. Substitute the values to get 41 degrees plus angle QRS equals 90 degrees, and once you subtract 41 from both sides, you get angle QRS equals 49 degrees.
Hope this helps. :)
The QRS is 49
Important information:ABC and QRS are complementary angles. ABC:41 calculation:We know that
The complementary angles are those whose sum is 90 degrees
So,
x + 41 = 90
x = 49
So, QRS = 49
Learn more about the angle here: https://brainly.com/question/2368234
.Write the product of 4x104
Answer:
416
Step-by-step explanation:
HELP!! 13 POINTS OFFERED
the product of eleven and five times a number multiplied by four
Answer:
220
Step-by-step explanation:
I hope this helps you
somebody help. which one?
Answer:
45
Step-by-step explanation:
you can use m a th w ay to help you
Nicole used 3/8 of her ribbon to wrap a present. If she used 6 feet of ribbon for the present, how much ribbon did Nicole have at first? Rewrite the problem as a multiplication question.
Answer: 16
Step-by-step explanation:
From the question, we are informed that Nicole used 3/8 of her ribbon to wrap a present and that she used 6 feet of ribbon for the present,
To know how much ribbon did Nicole have at first goes thus:
Let the ribbon Nicole has at first be y
Since she used 3/8, this will be:
3/8 × y = 6
3y/8 = 6
Cross multiply
3y = 6 × 8
3y = 48
y = 48/3
y = 16
She had 16 ribbons at first