The number is 19.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The sum of twice a number and 17 is 55.
So, let the number be x
2x+ 17= 55
2x = 55 - 17
2x = 38
x= 19
Hence, the number is 19.
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If g(x)= 2x-1, and h(x)= square root of x, find (goh)(9)
Answer:
The [tex](goh)(9)=5[/tex]
Step-by-step explanation:
We need to find out the [tex](goh)(9)[/tex]
Given:- [tex]g(x)=2x-1[/tex] and [tex]h(x)=\sqrt{x}[/tex]
First we need to find out the composition of (gof)(x)
Replace x in function g(x) with h(x) as;
[tex](goh)(x)=2(h(x))-1[/tex]
[tex](goh)(x)=2(\sqrt{x})-1[/tex]
Now put x=9 , in above to get the [tex](goh)(9)[/tex]
[tex](goh)(9)=2(\sqrt{9})-1[/tex]
[tex](goh)(9)=2(3)-1[/tex]
[tex](goh)(9)=6-1[/tex]
[tex](goh)(9)=5[/tex]
Therefore, [tex](goh)(9)=5[/tex]
Convert 4500 feet per second to miles per hour.
5280 ft = 1 mi
Round to the nearest hundredth.
Enter your answer in the box.
Jack and Jessica and the same amount last week.Jack earned $18 per hour and had $41 taken away from his check for Taxes. Jessica earned $15 an hour and had to $17 deducted from her pay. how many hours did they each work in order to get paid the same amount
Prove that ax+by+c=0 represent the eqn of straight line
the table shows the prices for different party toy packages from the Tomtown Toy Company.Which item costs the least per toy? Explain your reasoning
Answer:
Dominoes costs the least per toy.
Step-by-step explanation:
From the given table it is clear that
Cost of 6-pack of Dominoes = $3.98
Cost of 1-pack of Dominoes = [tex]\frac{\$3.98}{6}\approx \$0.663[/tex]
The cost of 1-pack of Dominoes is $0.663.
Cost of 12-pack of Peg Games = $9.99
Cost of 1-pack of Peg Games = [tex]\frac{\$9.99}{12}=\$0.8325[/tex]
The cost of 1-pack of Peg Games is $0.8325.
Cost of 24-pack of Mini Footballs = $17.98
Cost of 1-pack of Mini Footballs = [tex]\frac{\$17.98}{24}\approx $0.75[/tex]
The cost of 1-pack of Mini Footballs is $0.75.
$0.663 is less than $0.8325 and $0.75. It means dominoes costs the least per toy.
48 oz 1/2 gallon 3 1/2 pints 10 3/4 cups 2 1/4 quarts sort from least to greatest
1/2 gallon = 64 ounces
3 1/2 pints = 56 ounces
10 3/4 cups = 28.4 ounces
2 1/4 quarts = 72 ounces
so least to greatest:
10 3/4 cups, 48 oz., 3 1/2 pints, 1/2 gallon, 2 1/4 quarts
In 2001, the population of the United States was about 2/7 billion people. It is projected that by 2025, there will be 1/3 billion people in the United States. How much will the population increase by 2025?
Pleeeeeeaaaaase show steps
Subtract the starting population from the increased population:
1/3 -2/7
Rewrite the fractions to have a common denominator:
7/21 - 6/21 = 1/21 billion increase.
Please help
An animal shelter spends $5.50 per day to care for each cat and $8.00 per day to care for each dog. Angel noticed that the shelter spent $54.00 caring for cats and dogs on Monday. Angel found a record showing that there were a total of 8 cats and dogs on Monday. How many cats were at the shelter on Monday?
Estimate each product 33.6 x 82.1
Light travels at 3.0 x 105 km/s. The sun is 1.5 x 108 km from Earth. How long does it take for the sun's light to reach Earth?
Answer:
It takes 8 minutes and 20 seconds for the light to travel this distance
Step-by-step explanation:
Velocity is calculated as:
V= d/t (1)
Where d is distance and t is time. As we want to find time t we must simplify (1) for t
t= d/V (2)
We replacethe values given:
t=d/V=1.5*10^8/3.0*10^5=5*10^3 = 500 seconds
As there are 60 seconds in a minute we find
minutes = 500/60 = 50/6 = 25/3 = 8 2/3 or 8 minutes 20 seconds
Greg builds a new pond which has a volume of 7.35 m3. It is 4.2 m long and 50 cm deep. What is the width of the pond?
volume = length x width x depth
50cm = 0.5 m
7.35 = 4.2 x 0.5 x X
7.35 = 2.1 x X
x = 7.35 / 2.1
x = 3.5
width = 3.5 meters
Answer: 3.5 meters
Step-by-step explanation:
Given : The volume of a new pond = [tex]7.35\ m^3[/tex]
The length of a new pond = 4.2 m
The depth of the pond = 50 cm =0.5 m
Let the width of the pond be 'w'.
The volume of cuboid is given by :_
[tex]V=l\times h\times w\\\\\Rightarrow\ 7.35=4.2\times0.5\times w\\\\\Rightarrow\ w=\dfrac{7.35}{0.5\times4.2}\Rightarrow\ w=3.5[/tex]
Hence, the width of the pond = 3.5 meters
Hamburger costs $1.50 per pound and soy costs $1.00 per pound. The school cafeteria uses 50 more pounds of soy than hamburger and spends $350 a week. How much soy does the school use?
Ebert used to make a $22 an hour, but got a 10% raise. how much more will he make in a 40 hour work week with the raise?
In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines?
Answer:
its been 3 years but the answer is b
Step-by-step explanation:
Every 3 seconds , 4 cubic feet of water pass under the bridge. what is the unit rate?
What is the probability of guessing 3 questions correctly in a row (on a five-choice test)? A) .005 B) .16 C) .008 D) .2
find the discriminant and determine the number of real solutions : 4x^2 + 7x - 15 = 0
There are 25 students in the class. ten students have sports practice after school. What is the ratio of students that do have practice, to those that do not?
Help ASAP plz
negative 50 plus 300 minus 50 minus 100
One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cattle and 15 beef cattle in the barn. How many more dairy cattle are on the farm than beef cattle?
Which is the best estimate of 28 × 0 . 64 28×0.64?
A. 10
B. 15
C. 21
D. 28
Answer:
It is 15.
Step-by-step explanation:
Because the actual answer between 28 x 0.64 is 17.92.
The closest estimate for the multiplication of 28 by 0.64, is approximately 19 and given the options, 15 would be the best choice.
Explanation:The question is asking for the closest estimate for a multiplication problem, 28 times 0.64. We can convert the decimal 0.64 to a fraction which is approximately 2/3 (as 0.67 is closer to 0.64 than 0.5 - which would be 1/2). Hence, when multiplying 28 by 2/3, we get approximately 19.
Looking at the options given, 19 is not there. So, we select the nearest option to 19 which, in this case, it would be option B. 15.
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f y = 16x, which table shows the values of y for different values of x?
x 0 2 4
y 0 18 20
x 0 2 4
y 0 8 4
x 0 2 4
y 0 32 64
x 0 2 4
y 0 16 32
Answer:
D
Step-by-step explanation:
math question down below
2. Which conjecture is true?
A. An even number plus 3 is always even.
B. An even number plus 3 is always prime.
C. An even number plus 3 is always odd.
D. A prime number plus 3 is always even
C. An even number plus 3 is always odd.
Prime number: A number that can only be divided by 1 and itself. For example 7, 11, etc
Odd number: Any number that cannot be divided by 2. For example 3, 5, 7, etc
Even number: Any number than can be divided by 2. For example: 4, 6, 8, etc
If we add 2,4,6 or 1000 to 3, the resultant will be always odd. If we add 2 to 3, we will get 5 which is an odd number. If we add 8 to 3, you will get 11 which is an odd number.
So, the conjecture is :
An even number plus 3 is always odd.
Therefore the correct option is (c).
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Nathan helps out in the family pet shop on Saturdays. He must separate a shipment of 112 fish into nine bowls. Does Nathan have enough bowls if each bowl can fit no more than 12 fish? Explain why.
what is 10/4 as a mixed number
The fraction 10/4 written as a mixed number is 2 1/2
Given the improper fraction :
10/4To convert to a mixed number ; divide Numerator by denominator and express the remainder as a fraction
10/4 = 2 2/4
Express in its simplest form:
2 2/4 = 2 1/2Hence, the mixed number value is 2 1/2
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In 8 months, 55.6 gallons were used. Find the unit rate.
Answer:
6.95 gallons/month
Step-by-step explanation:
We are given that In 8 months, 55.6 gallons were used
Amount used in 8 months = 55.6 gallons
We are supposed to find amount used per month i.e. unit rate
So, Amount used in 8 months = 55.6 gallons
Amount used in 1 month = [tex]\frac{55.6}{8}[/tex] gallons
Amount used in 1 month = [tex]6.95[/tex] gallons
So, 6.95 gallons were used in 1 month
Hence the unit rate is 6.95 gallons/month
Graph y=− 4/7 x+1 .
Tommy the Terrapin crawls 3 inches every 2 seconds.Sammy the snail crawls 5 inches every 3vseconds. The two pals have a race to see how long it will take to reach a fence 30 inches away .
what is the answer to
3(4x+6)+7x
The simplified value of the given expression 3(4x+6)+7x, is 19x+18
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.
For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.
Given that, is an expression 3(4x+6)+7x, we need to simplify it,
3(4x+6)+7x
By the Distributive property, multiplying by 3,
3(4x+6)+7x
= 12x+18+7x
Rearranging the terms,
= 12x+7x+18
Adding the like terms,
= 19x+18
Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18
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