Answer:
7 groups.
Step-by-step explanation:
We have been given that Isaac has 21 green marbles and 7 blue marbles. He wants to place them in identical groups without any marbles left over.
To find the greatest number of groups Issac can make we will find the GCF of 7 and 21.
Factors of 7 are: 1, 7.
Factors of 21 are: 1, 7, 3, 21.
We can see that 7 is the greatest common factor of 7 and 21, therefore, Issac can make 7 groups from 21 green marbles and 7 blue marbles.
Let us find number of each type of marble is each group.
[tex]\text{Number of green marbles in each group}=\frac{21}{7}[/tex]
[tex]\text{Number of green marbles in each group}=3[/tex]
Therefore, there will be 3 green marbles in each group.
[tex]\text{Number of blue marbles in each group}=\frac{7}{7}[/tex]
[tex]\text{Number of blue marbles in each group}=1[/tex]
Therefore, there will be 1 blue marble in each group.
What’s the nth term of 40 35 30 35 20
What is the surface area of the cube with the rectangular prism
155 in
270 in
300 in
310 in
Kerrie cover a table with 8 rows of square tiles there are 7 tiles in each row what is the area the Kerrie covers in square units?
Kerrie covered a table having 8 rows of square tiles.
Each row has 7 tiles. The table will be rectangular in shape.
The number of rows will be the length of the table and the number of tiles in each row will be the width of the table.
Area of rectangle = length x width.
Area of the table = 8x7= 56 square units.
The area covered by Kerrie is [tex] 56unit ^{2} [/tex]
Which steps should be followed to use a scale drawing and a new scale to find the new length of a soccer field? Add the numerator of the new scale to the old length to get the new length. Subtract the new length from the old length to find the difference in lengths. Write a proportion using the new scale as the first ratio. Set the first ratio equal to the ratio of the length of the original field compared to a variable that represents the new length of the field. Solve the proportion to find the new length of the field. Write a ratio comparing the scale drawing length to the actual length of the field, and simplify.
You have 15 coins in your pocket: 4 quarters, 3 pennies, 5 dimes, and 3 nickels. Why wouldn't theoretical probability be a good way to predict which coin you pull out of your pocket?
The formula h-15=3.2t gives the height h in inches of a plant t weeks after planting. Which is the rate at which the plant height is increasing?
I am so lost help me
A 20ft ladder leans against a house. The bottom of the ladder is 8 feet from the base of the house. To the nearest foot, how high above the ground is the top of the ladder?
Translate this sentence into an equality
the quotient of x and 7 is at most -24
Audrey is buying a new car for 32998.00 she plans to put 4200.00 down if she make monthly payments of 525 for the next 5 years what APR did she pay
The distance between two towns is 12 5/8 miles. Mr.Lang has driven 4 5/12 miles of distance. How much farther does he have left to go?
i need the answer as soon as possible :)
A $12,500 loan for 3 years, compounded at an annual interest rate of 18%.
Find the total amount owed.
A) $21,157.90
B) $13,187.22
C) $8,037.90
D) $20,537.90
The function f(x) =g(x), where f(x) =2x-3 and g(x) =x^2-5
Answer:
x=2.732
Step-by-step explanation:
Given are two functions
f(x) = 2x-3 and g(x) = [tex]x^2-5[/tex]
WE have to find the approximae value when these two funcitons are equal
Since we are asked to find only positive value we can refer table and do
f(2) >g(2) but f(3)<g(3) Hence there is one solution between 2 and 3.
f(2.5)>g(2.5). So the root lies between 2.5 and 3 since change of sign takes place here
x f g
2.6 2.2 1.76
2.7 2.4 2.229
2.72 2.44 2.398
2.73 2.46 2,453
2.732 2,464 2.464
Hence answer is x =2,732
The library is 2 miles from the post office. How many yards is the library from the post office?
Steve has $360 in a savings account in the bank. He runs 3% interest each month how much interest would he earn in one month
Screenshot included! MY LAST QUESTION! What is the volume of this aquarium?
96 in³
2,304 in³
3,216 in³
4,608 in³
y=x^2-16x+63
[tex]y = x { }^{2} - 16x + 63 \\ [/tex]
The equation provided is a quadratic equation in standard form, which can be solved using methods such as factoring, completing the square, or the quadratic formula to find its roots.
Explanation:The equation y=x^2-16x+63 is a quadratic equation, which is a polynomial equation of the second degree. The standard form of a quadratic equation is ax^2 + bx + c = 0. To solve this equation for x, you can either factor it, complete the square, or use the quadratic formula. If this specific equation was meant to be solved, we would look for values of x that make the equation true. This involves finding the roots of the equation, which are the x-intercepts of the parabola represented by the equation on a graph.
PLEASE HELP!!!!! 11 POINTS TO CORRECT ANSWER
I have the same values as a group of 2 dimes and 1 nickel what coin am I
Which of the following inequalities matches the graph?
Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.
If Larry ate L% of the total amount of pizzas, what is the value of L?
Answer:
Where is the pic?
Jorge bought a crate of floor tiles for 95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles
Write and solve an equation to determine the cost per box, b. Then write and solve a second equation to determine the cost per tile, t, the nearest cent
Answer:
Step-by-step explanation:
6b= 95.94 divide will give you $15.99 then divide 20 into 15.99 will give you .7995 they said nearest cent.
Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is greater than the product of its digits by 26
what are the whole numbers between 2 and 8
Which statement is NOT true?
F. A set of ordered pairs that describes a function cannot have any y-value repeated.
G. A table of values describes a function if all the x-values are different.
H. A mapping is a function if each x-value is paired with exactly one y-value.
J. A graph describes a function if no point on the graph lies directly above or below another of the graph.
PLEASE HELP ASAP!!!!!!!!!
The quotient of m and 7
Simplify fully the square root of 1/169
The fully simplified form of √(1/169) is 1/13.
Given that an expression √(1/169), we need to simplify it,
To simplify the square root of 1/169, we can break it down as follows:
√(1/169)
Since 1 is the square of itself (1² = 1), we can rewrite the expression as:
√(1/169) = √(1)/√(169)
The square root of 1 is simply 1:
√(1/169) = 1/√(169)
Now, the square root of 169 is 13:
√(1/169) = 1/13
Therefore, the fully simplified form of √(1/169) is 1/13.
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Use the steps to solve the Carbon Dating Problem.
1. Graph the function C(t) = 100•e^-0.000121t using points (t, C(t)).
Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).
Answer: y= -1/2 + 1
Step-by-step explanation: To solve this problem, first determine the slope of your line. Since perpendicular lines have slopes that are opposite reciprocals of each other,we know that the slope is -1/2. Then plug your slip (-1/2) and point (6,-2) into the equation y=mx+b to solve for b. The resulting value for b is 1.