Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
Answer:
1st: 105/h
2nd: 95/h
Step-by-step explanation:
10A+15B=2475 (1)
A+B=200 |*10 => 10A+10B=2000 (2)
From (1) - (2), we have 5B=475, so B=95
then A+95=200 so A is 105
5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?
Answer:
The coordinate of the midpoint of AB is (1.5, 3).
Step-by-step explanation:
The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).
Please help!!! DUE SOON!!
YOU WILL GET 25 POINTS!
Answer:
9. 105
10. 50
11. 55
Step-by-step explanation:
9. 180-75=m<EFB
10. 90-40=m<EGB
11. 75+50+m<FBG=180
Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !
Answer:
it's 823 problem solved
Maya invests $3,500 into an ETF which earns 7% per year. In
30 years, how much will Maya's investment be worth if
interest is compounded semiannually (twice a year)? Round to
the nearest dollar.
HELP DUE IN 10 MINS!
Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.
A. (3,5)
B. (5,5)
C. (3,3)
D. (1,5)
E. (-1,5)
F. (3,7)
Answer:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
Step-by-step explanation:
The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.
Out of all options given, the desired answers are:
B. (5,5)
C. (3,3)
D. (1,5)
F. (3,7)
⚠️10 points⚠️
⚠️no links ir i will report ⚠️
Find the distance between the two points rounding to the nearest tenth (if necessary).
Answer:
8.9
Step-by-step explanation:
The distance between each point is 8.9, hope this helps!
A bag contains 5 green marbles, 7 yellow marbles, 4 blue marbles, 6 pink marbles, and 3 purple marbles. If two marbles are chosen without replacement, find the probability of choosing a yellow marble, then another yellow marble. Give your answer as a fraction in simplest form.
Answer:
The probability of choosing a yellow marble then choosing another one without replacement is 1/30.
Step-by-step explanation:
First, get the total amount of marbles.
5 + 7 + 4 + 6 + 3 = 25 total marbles.
Now find the probability of finding a yellow marble.
P = 5 yellow marbles / 25 total marbles.
Now find the probability of finding a yellow marble after pulling one without replacement.
P = 4 yellow marbles / 24 total marbles.
To find the probability of both events happening, multiply the probabilities together.
(5/25) * (4/24)
Multiply the numerators and denominators.
20/600
Simplify.
1/30.
make the mathematical expression and simplify.3 times the difference of 17 and 7 is divided by 5
= 3(17-7)/5
=3(10)/5
=30/5
=6
Which of the following statistics measures the variability of a distribution?
A) Mean
B) Median
C) Mode
D) Range
Answer:
B
Step-by-step explanation:
B is the answer .
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
[tex]{\boxed{\boxed{\tt { D. \ Range}}}} \ [/tex]
Step-by-step explanation:
The mean, median and mode are central tendency measures. Statisticians use range to describe the amount of variability or spread in a set of data.
⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆
Identity the slope and y intercept
Answer:
3,-2
Step-by-step explanation:
From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,
The line passes through (0,3) and (1.5,0) .Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.
Slope :-
→ m = 3 - 0 / 0 - 1.5
→ m = 3/-1.5
→ m = -2
• Hence the y Intercept is 3 and the slope is (-2) .What is the probability of flipping a coin 85 times and getting tails 50 times or
fewer? Round your answer to the nearest tenth of a percent.
A. 33.2%
B. 0.4%
C. 95.9%
D. 99.8%
Answer:
C: 95.9%
Step-by-step explanation:
To find this, we shall be using the cumulative binomial probability calculator
As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5
So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails
So we have the parameters as follows;
P( x ≤ 50)
n = number of trials = 85
p = probability of success = 0.5
r = number of success = 50
Using the parameters in the cumulative binomial probability calculator, we have the value as ;
0.9589 = 95.9%
Answer:
answering so the guy above gets brainliest
A bucket holds 243.5 oz of water. The bucket loses 0.5 oz of water per second. In how many seconds will the bucket be 40% full?
HELP ASAP PLEASE 3 extra points if you get it right
Answer:
origin
Step-by-step explanation:
because the arrow is pointing at zero so it is the origin
Please help as soon as possible
Answer:
d, b + b + 3c and 2b + 3c
Step-by-step explanation:
Help!!‼️‼️
How old am lif 500 reduced by 4 times my age is 256?
Answer:
Question 1172264: How old am I if 500 reduced by 4 times my age is 256? How old am I if 500 reduced by 4 times my age is 256? A is our age. 500 - 4A = 256.
Step-by-step explanation:
thank me later
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:A..the diagonal bisect perpendicular one other.Since bisectors divide the diagonals equally in two parts.
.
Answer:
D
Step-by-step explanation:
I'm not smart :)
Anwer this questions plz
Answer:
2
Step-by-step explanation:
brainliest blz
Answer:I believe the answer is 3 Hope this helps ^w^
Step-by-step explanation:
20/5 is 4 so 4 dollars per tank top and 35/5 is 7 so 7-4=3
Which statement about 214° is correct?
O A. tan 214° < 0
O B. sin 214° < 0
O C. cos 214° > 0
Answer:
B.
Step-by-step explanation:
214 degree terminates in the 3rd quadrant.
Sine and cosines are both negative there.
This means that sin(214)<0 and cos(214)<0.
If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.
If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *
9 meters cost P600
Step-by-step explanation:
3×3 = 9
p200×3 =P600
A ship is 7 ft from the dock. One sailor who is standing at the front of the boat 10 ft above dock level tosses rope to another sailor who is standing on the dock to tie the boat to the dock. How is the angle of elevation for the sailor standing on the dock related to the angle of depression for the sailor standing at the front of the boat?
Answer:
ım not speak english because i'm turkish
The angle of the depression is equal to the angle of elevation for the same place.
The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
What is angle of elevation?The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
What is angle of depression?The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.
Given information-
The distance between the ship and dock is 7 ft.
The one sailor is standing 10 ft above the dock level.
The another sailor is standing on the dock.
The angle of depression and elevation is shown in the image.
Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,
[tex]\tan \theta=\dfrac{10}{7}[/tex]
Find the value of angle as,
[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]
Hence the angle of depression is 55 degree.
As the angle of the depression is equal to the angle of depression for the same place.
Thus the angle of elevation is 55 degrees.
Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
Learn more about the angle of depression here;
https://brainly.com/question/10217662
Mezclas de alimentos. Un chef repostero creó una solución de azúcar de 50 onzas constituida por 34% de azúcar con una solución de azúcar al 20% y otra solución al 40%. ¿Qué cantidad utilizó de la solución de azúcar al 20% y de la solución al 40%?
Answer:
Las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.
Step-by-step explanation:
Podemos estimar la proporción de ingredientes mediante el siguiente promedio ponderado:
[tex]0.34= \frac{0.2\cdot m_{A} + 0.4\cdot m_{B}}{m_{A}+m_{B}}[/tex] (1)
Donde:
[tex]m_{A}[/tex] - Masa de la solución al 20 %, en onzas.
[tex]m_{B}[/tex] - Masa de la solución al 40 %, en onzas.
Podemos simplificar la formula como sigue:
[tex]0.2\cdot x + 0.4\cdot (1-x) = 0.34[/tex] (2)
Donde [tex]x[/tex] es la proporción de la solución al 20 % dentro de la solución final, sin unidades.
Ahora resolvemos para [tex]x[/tex] en (2):
[tex]0.4-0.2\cdot x = 0.34[/tex]
[tex]0.2\cdot x = 0.06[/tex]
[tex]x = \frac{0.06}{0.2}[/tex]
[tex]x = 0.3[/tex]
Este resultado quiere decir que la solución al 34 % es el resultado de 30 % de la solución al 20 % y 70 % de la solución al 40 %. Si conocemos que la solución final tiene una masa de 50 onzas, entonces las cantidades empleadas para su preparación son: 15 onzas de solución al 20 % y 35 onzas de solución al 40 %.
A pair of shoes that normally sells for $85.00 goes on sale for 35% off.
Sean thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75.
Who is correct and why?
a. Melanie is correct.
b. Sean is correct.
c. Aiyanna is correct.
Answer:
A
Step-by-step explanation:
Melanie is correct
85 x 0.35 = 29.75
85 - 29.75 = 55.25
Answer:
a. Melanie is correct
Step-by-step explanation:
35% of 85= 29.75
*Find this by finding 10% (move decimal place over) and five percent (half of ten percent) and add triple of 10% plus the 5% or look it up*
Subtract this from 85
85-29.75=
$55.25
Hope this helps! Have a nice day :)
Answer this question to get marked as brainliest!!!!
Answer:
7
Step-by-step explanation:
"HOT PIZZA" is offering 20% discount on all its pizza
Ali bought a pizza for £5.60 what was the original price
Answer:
Original price was £7.00
Step-by-step explanation:
20% discount means that ali is paying 80% of the full price
.8p = 5.60
Divide both siides by .8
p = 7
Original price was £7.00
Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?
Answer:
108$
Step-by-step explanation:
PLEASE HELP ME WITH GEOMETRY!!! Please
Answer:
100
Step-by-step explanation:
What you need to do is multiply all of the numbers together so the three sides equal 12 so you need to do 12x3 which equals to 36 and 8x8 is 64 and then add 64 and 36 which gives you 100
Solution :
The given figure consists of two shapes that are a triangle and a square . To find the total area of the figure we will first find the area of the triangle then that of the square and add them .
Let's work on this ,
Area of triangle [tex]\sf\implies\::\dfrac{1}{2}\:\times\:base\:\times\:height[/tex]In the given figure the base of the triangle is 12 inches and it's height is 8 inches .
[tex]\sf\implies\::\dfrac{1}{2}\:\times\:12\:\times\:8[/tex]6 × 8 48 inches²Now lets find the area of the square ,
Area of square = Side × Side12 × 12144 inches²Total area of the figure
Area of triangle + Area of square 48 + 144192 inches²2+2=?
i dont remember this, its too complex for me someone help asap
ahem ahem
2+2=69
it's 4 thanks for the points
need help on math please
The length of missing leg is √40 = 6..32
Answer:
This one should match according to the pythagoras theorem
Use the change of base formula and a calculator to approximate each logarithm. Round to
three decimal places.
log14 (16)
Answer:
[tex]1.051[/tex]
Step-by-step explanation:
The change of base formula is given by [tex]\log_a b=\frac{\log b}{\log a}[/tex]
Substituting given values, we have:
[tex]\log_{14} 16=\frac{\log 16}{\log 14}\approx \boxed{1.051}[/tex]