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If a scientist has two empty breakers that he needs to fill with a certain chemical a three gallon beaker and a five gallon beaker. How can he measure exactly one gallon of the chemical without wasting any?
Convert 5.45787878... to a fraction. Simplify
The fractional value is 54033/ 9900.
What is Non Terminating Decimal?Non-terminating decimals are the one that does not have an end term. It has an infinite number of terms.
Given:
let x= 5.4578787878............(1)
Multiply both side by 100 we get
100 x = 545.787878.......(2)
Again Multiply both side by 100 we get
10000x = 54578.787878...........(3)
Now, subtract equation (2) from (3) we get
10000x - 100x = 54578.7878.... - 545.787878...
9900x = 54033
x = 54033/ 9900
Learn more about Non Terminating Decimal here:
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carlie spent $42 at the salon. Her mother loaned her the money carlie will pay her mother 15% of $42 each week until the loan is repaid. About how much will Carlie pay each week?
Marisa is keeping track of how many miles she runs.after her run on July 12 she had run a total of 7miles if she runs 3miles each day after that what is total numbers of miles she will run after her run on July 18
(04.02 LC)
The graph below shows the numbers of cups of grape juice that are mixed with cups of lemon-lime soda to make servings of grape soda:
A graph is shown. The values on the x-axis are 0, 1, 2, 3, 4, 5. The values on the y-axis are 0, 2, 4, 6, 8, 10. Points are shown on ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6 and 4, 8. These points are connected by a line. The label on the x-axis is Lemon lime Soda in cups. The title on the y-axis is Grape Juice in cups.
What is the ratio of the number of cups of grape juice to the number of cups of lemon-lime soda?
using the points, the x is Soda and the Y is the grape juice
for (1,2) 1 soda to 2 juices
(2,4) 2 sodas to 4 juices
so the ratio is 2 juices to every 1 soda which is a 2/1 ratio
Answer:
C
Step-by-step explanation:
Alex is making 12 pennants for the school fair.The pattern he is using to make the pennants is shown in the figure.The fabricfor the pennants costs $1.25 per square foot. How much will it cost Alex to make 12 pennants?
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THIS IS URGENT!!!!
PLEASE ANSWER WITH WORK.
Brandon is shopping at old navy during a sale. All shorts are $16 each and all t-shirts are $10 each. He has $100 to spend and would like to purchase at least 2 pairs of shorts
7% percent is what length of 200ft
Final answer:
To find 7% of 200ft, you multiply 200 by 0.07, resulting in 14ft, which is the length that represents 7% of 200 feet.
Explanation:
The student is asking how to calculate 7% of a 200 foot measurement. To find this, we can multiply 200 feet by 7% (or 0.07) to find the length that represents 7% of 200 feet. The calculation would be:
7% of 200 ft = 0.07 × 200 ft = 14 ft
So, 7% is equal to 14 feet of the 200ft measurement. This type of calculation can be useful for understanding proportions and scales in various applications, including model-making or drawing to scale.
A landscaper buys a tree that grows at a rate of 18 inches every 3 months.
How much does it grow in 1 year?
A. 30 in.
B. 36 in.
C. 54 in.
D. 72 in.
A plant grows 9 in. every 2 months.
How will it grow in a year?
A. 18 in.
B. 36 in.
C. 54 in.
D. 108 in.
1 it grows 18 inches every 3 months
there are 12 months in 1 year
12 dived by 3 = 4 so there are 4 times it will grow 18 inches
18 * 4 = 72 inches, amount it grows in 1 year
Answer is D
2. it grows 9 inches every 2 months
12/2 = 6 times a year it will grow
9 *6 = 54 inches total for 1 year
Answer is C
Which is f(5) for the function –2x2 + 2x – 3? –107 –63 –43 –37
The student store sells pencils that have a markup of 120 percent above their wholesale cost of $0.50 each. They also charge sales tax of 8 percent. What is the total cost of a pencil from the student store?
Answer:
The total cost of a pencil from the student store is $ 1.188
Step-by-step explanation:
Given,
The original cost or wholesale cost of each pencil = $ 0.50,
Markup percentage = 120 %,
So, the cost of the pencil after markup = 0.50 + 120% of 0.50
[tex]=0.50+\frac{120\times 0.50}{100}[/tex]
[tex]=0.50+\frac{60}{100}[/tex]
[tex]=0.50+0.6[/tex]
[tex]=1.1[/tex]
Now, sales tax = 8 %,
Hence, the final total cost of a pencil = 1.1 + 8 % of 1.1
[tex]=1.1 + \frac{8\times 1.1}{100}[/tex]
[tex]=1.1+\frac{8.8}{100}[/tex]
[tex]=1.1+0.088[/tex]
[tex]=\$1.188[/tex]
What is 1,120 divided by 35
Iodine-125 has a half-life of about 60 days.
How many milligrams of a 500 mg sample will remain after 300 days?
the answer is 15.625mg
The table shows the types of DVDs customers rented from Sunshine Movie Rentals last year.How many comedy and action movies were rented last year?
Explain how knowing 1+7 helps you find the sum for 7+1
Approximately how many times greater is 8.5×10^8 than 3.4×10^5
What is 1/6×2/3= to what
The distributive property loss of combined subtraction and multiplication for example 3 x (5-2) = (3X5) - (3x2) Explain how you could use the distributive property and mental math to find 5x198
How many ounces are in 14 grams?
Plz help me on that problem number 20
divide the amount deducted ( $24) by the number of bus rides (12)
24 / 12 = 2
it cost $2 per ride
Which equation models the situation??
Answer:
the answer is (b) 4.95a+6.55b=27,95 hope this helped you guys
Step-by-step explanation:
can you guys plz like this question
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
Chapter Reference
b
How much alloy can be produced using 4.9 lb of zinc?
To determine how much alloy can be produced using 4.9 lb of zinc in a ratio of 2:7:9 for nickel, zinc, and copper respectively, we can calculate the amounts of nickel and copper using the given proportions. Substituting the given value of zinc into the equations, we find that 1.4 lb of nickel and 6.3 lb of copper can be produced.
Explanation:To determine how much alloy can be produced using 4.9 lb of zinc, we need to calculate the amount of nickel and copper required in the alloy.
Given the ratio of nickel:zinc:copper is 2:7:9, we can set up the following proportion:
Nickel/zinc = 2/7
Solving for nickel, we have:
Nickel = (2/7) * zinc
Similarly, we can set up the following proportion for copper:
Copper/zinc = 9/7
Solving for copper, we have:
Copper = (9/7) * zinc
Now we can substitute the given value of zinc (4.9 lb) into the equations to calculate the amounts of nickel and copper:
Nickel = (2/7) * 4.9 = 1.4 lb
Copper = (9/7) * 4.9 = 6.3 lb
Therefore, using 4.9 lb of zinc, we can produce 1.4 lb of nickel and 6.3 lb of copper in the alloy.
Which expression is the completely factored form of x6−64y3 ? (x2−4y)(x4−16y2) (x2−4y)3 (x2−4y)(x4+4x2y+16y2) (x2+4y)(x4−4x2y+16y2)
The expression which is obtained on factorising it completely is:
[tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]
Step-by-step explanation:We are asked to factorize the expression which is given by:
[tex]x^6-64y^3[/tex]
This expression could also be written as:
[tex]x^6-64y^3=(x^2)^3-(4y)^3[/tex]
Now, we know that:
[tex]a^3-b^3=(a-b)(a^2+b^2+ab)[/tex]
Here we have:
[tex]a=x^2\\\\and\\\\b=4y[/tex]
Hence,
[tex]x^6-64y^3=(x^2-4y)((x^2)^2+(4y)^2+x^2\times 4y)[/tex]
i.e.
[tex]x^6-64y^3=(x^2-4y)(x^4+16y^2+4x^2y)[/tex]
He Sun bought 3 skirts for s dollars each and a jacket that costs 5 times as much as each skirt. She spent a total of $280. How much did the jacket cost? 1
3/4(3x+6)−1/4(5x−24)
Answer:
Simplified form of the expression will be x + [tex]\frac{21}{2}[/tex]
Step-by-step explanation:
The expression is [tex]\frac{3(3x+6)}{4}-\frac{(5x-24)}{4}[/tex]
Now we have to simplify this expression
[tex]\frac{3(3x+6)}{4}-\frac{(5x-24)}{4}[/tex] = [tex]\frac{(9x+18)}{4}-\frac{(5x-24)}{4}[/tex]
= [tex]\frac{9x+18-5x+24}{4}[/tex]
= [tex]\frac{4x+42}{4}[/tex]
= x + [tex]\frac{42}{4}[/tex]
= x + [tex]\frac{21}{2}[/tex]
Therefore, simplified form of the expression will be x + [tex]\frac{21}{2}[/tex]
Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156D. 0
seven more than the quotient of a number and 2 is 10
Explain why you would make one of the addends a tens number when solving an addition problem.
Since we can add a number to a tens number easily, we make one of the addends a tens number when solving an addition problem.
Example 1:
Add 9 and 6.
9 + 6 = 9 + (1 + 5)
= (9 + 1) + 5
= 10 + 5 = 15
Note that adding 10 and 5 is much easier than adding 9 and 6.
Example 2:
Add 18 and 16.
18 + 16 = 18 + (2 + 14)
= (18 + 2) + 14
= 20 + 14 = 34
Note that adding 20 and 14 is much easier than adding 18 and 16.
subtract the quoient of 8 divided by 7 from 9
A mean ogre stole 27 of your muffins. That was 3/5 of all of them! With how many did you start ?