The total amount that Fred keeps (and does not put in his savings account) is $20
Total earnings of Fred = $45
Amount spent on music = $5
Amount remaining after spending on music = $40
Fred puts half of what's left in a savings account.
Total amount put in the savings account = 40/2
Total amount put in the savings account = $20
The total amount that Fred keeps (and does not put in his savings account) is $20
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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
;)
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
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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
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
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
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The importance of crushing the Whiskey Rebellion was to uphold
Answer:
Federal Authority should be the answer
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
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
Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2
Answer:
A.) 6a^3 + 12a^2 - 15a
Step-by-step explanation:
Area = w * l
Area = 3a(2a^2 + 4a - 5)
Area = 6a^3 + 12a^2 - 15a
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.
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
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:
Simon bought a $48 table on sale at 30% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression
A)0.003(50)
B)0.3(50)
C)3(50)
D)30(50)
Explain, please!
Answer:
The answer is B. Hope this helps!
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.
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g(x) = -x + 2, find g(5)
Answer:
-3
Step-by-step explanation:
-(5)+2 = -3
Which sums and/or differences equal 14? Check all that apply.
Answer:
What's the choices??
Step-by-step explanation:
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
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
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
3x+2=198
Solve it as Soon as possible!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]3x + 2 = 198[/tex][tex]3x = 198 - 2[/tex][tex]3x = 196[/tex][tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]Answer:
[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]
Result:
[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]
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
a 16 cup of carton of ice cream cost $12 .00. what is price
Answer:
Price for what?one cup or?
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)
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
An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?
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
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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
If Dylan does a job in 50 hours and Kristen does a job in 75 hours, how long will it take them to do the job
together?
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
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
