The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.
Answer:
A = $171,475, B = $119,860
Step-by-step explanation:
A represents the salary of the governor of state A.
B represents the salary of the governor of state B.
A is $51615 larger than B, so you get the equation:
A = B + 51615
The total of the two salaries is $291335, so you can the second equation:
A + B = 291335
Using the first equation, substitute the quantity (B + 51615) for A in the second equation.
(B + 51615) + B = 291335
2B + 51615 = 291335
2B = 239720
B = 119860
Plug this value of B back into either of the equations.
A = B + 51615 = 119860 + 51615 = 171475
What is the range of the relation graphed below?
Answer:
a
Step-by-step explanation:
5 divided by 3/4 in simplest form
Answer:
improper form: 20/3
Mix Number: 6 2/3
Step-by-step explanation:
5/3/4
Can be simplified into 5 * 4/3
Which is 20/3
Hope this helps!
Answer:
e
Step-by-step explanation:e
3. Use the vertical line test to determine whether the relation graphed below is a function
(1 point)
Oyes
Ono
O cannot be determined
Answer:yes
Step-by-step explanation:
Bc it is was r
tickets to a fair cost $4 for children and $10 for adults. You are unsure of how many tickets were sold, but know that $200 was collected. define your variables. What would be my variables??
Answer:
4=
10=
200=
I dont actully know this i wanted to give it a try n all i got was this
3. Write Math Two factors that make a product are sometimes called a factor
pair. Describe how using factor pairs helped you solve the problems.
Johnny's home is m miles from school. Johnny runs to school at a speed of 8 mph and then walks home from school at half that speed. Suppose it take johnny 15 longer to walk to home than to run to school. Write an equation that shows this relationship.
Answer:
first we know the speed from home to school is 8mph and from school to home is half that speed so 4 miles per hour
now,
from home to school it takes: m/8 hours
and from school to home m/4 hours
we can pass it to minutes multiplying by 60
so:
from home to school it takes: m*7.5 minutes
and from school to home m*15 minutes
and now the relations between these two amount of minutes is that takes 15 more from school to home so:
7.5m+17
Step-by-step explanation:
The temperature in the production department is 21°C at 12 noon. If
the temperature increases 1.5° C every hour, what will the temperature
be at 5 pm?
28.5 (I don't know if this is fully correct)
A polygon has 7 sides. The interior angle measures are 131°, 127°, 134°, 122°, 132°, 120°, and x°. Find the value of x Help ASAP
a 16 cup of carton of ice cream cost $12 .00. what is price
Answer:
Price for what?one cup or?
Find the surface area of the following cylinder.
Round your answer to the nearest square centimeter.
The surface area, to the nearest square centimeter, of the given cylinder is: 182 cm²
Recall:
Surface area of a cylinder = 2πrh + 2πr²From the diagram given, we have:
radius (r) = half of diameter = 10/2 = 5 cmheight (h) = 0.8 cmSubstitute each value into the surface area formula for a cylinder.
Thus:Surface area = 2(π)(5)(0.8) + 2(π)(5²)
Surface area = 182.212
Therefore, the surface area, to the nearest square centimeter, of the given cylinder is: 182 cm²
Learn more here:
https://brainly.com/question/14657844
Safe Combination. The author owns a safe in which he stores all of his great ideas for the
next edition of this book. The safe combination consists of four numbers between 0 and 99. If
another author breaks in and tries to steal these ideas, what is the probability that he or she will
get the correct combination on the first attempt? Assume that the numbers are randomly
selected. Given the number of possibilities, does it seem feasible to try opening the safe by
making random guesses for the combination?
Answer: 1/96059601
Don't break in
Step-by-step explanation:
First we need to find how many combinations there are.
We can find that by multiplying the four different number of options which in this case are all 99.
99 * 99 * 99 * 99
= 96059601
There are 96059601 different combinations and one correct combination.
So, the chance of them getting it is 1/96059601
It is definitely not a nice number so probably don't try and break in.
120 miles in 1 3/4 hours as a unit rate
9514 1404 393
Answer:
68 4/7 miles/hour
Step-by-step explanation:
The unit rate is found by dividing miles by hours:
(120 miles)/(7/4 hours) = 480/7 miles/hour = 68 4/7 miles/hour
A customer buys a different DVD that has an original selling price of $28. The DVD is discounted by 15%. The customer must pay a 5% sales tax on the discounted price of the DVD.
What is the total amount, in dollars, the customer pays for the discounted DVD?
answer is 27.2$ of all pay
A wheel on Ruben’s bicycle is 1.5 ft in diameter. Reuben races the bicycle for 155 ft. How many times does the wheel turn as the bicycle travels this distance? Use the value 3.14 for ㅠ. Round your answer to nearest tenth. Do not round any intermediate steps.
Answer:
32
Step-by-step explanation:
1.5 × 3.14 =4.71
155÷4.71=32.909
so,answer is 32
This is K12 in sixth grade
The committee is planning a party and 150 guests are expected. Each table seats 12 people.
How many tables will be needed to seat all 150 guests?
12
13
162
1800
Answer:
13
Step-by-step explanation:
divide 150 by 12
the answer is 12.5
round 12.5
;)
Which sums and/or differences equal 14? Check all that apply.
Answer:
What's the choices??
Step-by-step explanation:
g(x) = -x + 2, find g(5)
Answer:
-3
Step-by-step explanation:
-(5)+2 = -3
What is the sum of the numbers
1*2+2*3+.....n(n+1)
Answer:
8+n²+n
Step-by-step explanation:
Simplfy the expression
What is 2x123 divided by 2
Answer:
123
hope this helps!
mark brainliest please
Step-by-step explanation:
The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ7
In one year the Mcallister family jobs their car 50,600 miles to the nearest thousands how many miles did they drive their car that year
Answer:
51,000 thousand
Step-by-step explanation:
the miles are above 500 , 600 so they rounded up to 51,000
Hope that helped :) have a great day !
Answer:
The distance driven by the McAlister family car in one year, to the nearest thousand, is 51,000 miles
Annie spends an average of 2.77 hours on online gaming and two dogs for four hours on doing other school activities online each day six days a week about how long does she's been surfing the Internet in a day in a week
Answer:
Step-by-step explanation:
A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 270 were in favor of the increased speed limit. Construct a 95% confidence interval on the difference in the two proportions. Round your answer to four decimal places (e.g. 98.7654).
Answer:
5.006
Step-by-step explanation:
Four pounds of apples cost $3.88. What is the price per pound?
Answer:
97 cents per pound
Step-by-step explanation:
3 dollars÷4=75 cents
88÷4 =22
75+22=97
PLEASE HELP MEEEE!!!!!!!!!
Answer:
a) 1,144 rad/min
b) 182.1 rev/min
Step-by-step explanation:
d= 24 inches
radius = 24/2 or 12 inches
speed = 13mi/h
need to convert speed to inches/min
v = Θ * r
1 mile = 63360 inches, and 1 hour = 60 min
13 mi * (63360 in / mi)
= 823680 in / (1 hr * 60 min / hr)
=13728 in/min
Now go back to the equation
13728 in / min = ω * 12 in
13728 /12 = Θ
1,144 rad/min
b) 1 revolution = 2π
w= Θ/2π
w= 1,144rad/ min/2pi rad
w= 182.1 rev/min
6. Translate 3x - 1 into a verbal phrase.
A. the product of 3 and a number x increased byl
B. 1 less than the product of 3 and x
C. thrice the difference of x and 1
D. the difference of 3 and a number x 7 T
3x - 1 can be written in a verbal form as "1 less than the product of 3 and a number x
Functions can be translated using words in mathematics
Given the function 3x - 1
Let x be the unknown number
3x is translated as the product of 3 and a number.
Since 1 is subtracted from the function this means that the function 3x is lesser by a value of 1.
In this case, 3x - 1 can be written in a verbal form as " less than the product of 3 and a number x
Learn more here: https://brainly.com/question/16510024
Solve for x
1/4 + 1/2 + x = -3/4
Answer:
x = -3/2
Step-by-step explanation:
Lets first multiply the entire equation by 4 to get rid of the fractions.
1+2+4x = -3
3+4x = -3
4x = -6
x = -6/4
x = -3/2
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
6 Km / hour
Step-by-step explanation:
Convert distance to Km ( 1 Km = 1000 m )
150 m = 150 ÷ 1000 = 0.15 Km
Convert 1.5 mins to hours ( 1 hour = 60 minutes )
1.5 = 1.5 ÷ 60 = 0.025 hours
average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{0.15}{0.025}[/tex] = 6 Km / hour
The average speed in km per hour is 6 kilometers per hour
How to determine the average speed?The given parameters are:
Distance = 150 mTime = 1.5 minsConvert meters to kilometers
Distance = 150/1000 km
Distance = 0.15 km
Convert minutes to hours
Time = 1.5/60 hour
Time = 0.025 hour
The average speed is then calculated as:
Speed = Distance/Time
This gives
Speed = 0.15 km/0.025 hour
Evaluate
Speed = 6 kilometers per hour
Hence, the average speed in km per hour is 6 kilometers per hour
Read more about speed at:
https://brainly.com/question/4931057
#SPJ6
equation with a variable on both sides that equal 27
Answer:
x +20 = 20 + 4 -x +10 (x =7)Step-by-step explanation:
equation with a variable on both sides that equal 27
x +20 = 20 + 4 -x +10