Answer:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Step-by-step explanation:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Step-by-step explanation:
Example: 6,8,20
6-1,2,3,6
8-1,2,4,8
20-1,2,4,5,20
GCF is 2
Lisa and Maria were baking oatmeal cookies. Lisa baked 24 cookies on Friday and 36 on Saturday. Maria baked the same amount of cookies that Lisa baked on Saturday. How many cookies did they bake altogether?
Answer:
96 cookies.
Step-by-step explanation:
I don't love the wording of the question, but here's what I see:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 36
Cookie total: 96
-----------------------------------------------------
I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.
If 96 is the wrong answer, then try:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 60
Cookie total: 120
Beth is two years older than Julio. Gerald is twice as old as Beth. Debra is twice as old as Gerald. The sum of their ages is 38. how old is Beth?
Answer:
Beth is five years old.
Step-by-step:
Beth + Julio + Gerald + Debra = 38
B + (Beth - 2) + (2 x Beth) + (2 x Gerald) = 38
Since we know that Gerald is twice as old as Beth and Debra is twice as old as Gerald. That makes Debra four times older than Beth.
Beth + (Beth - 2) + (2 x Beth) + (4 x Beth) = 38
B + (B -2) + (2B) + (4B) = 38
Simplfy the like terms.
8B - 2 = 38
Add 2 on both sides.
8B = 38 + 2
8B = 40
Divide both sides by 8 to isolate the variable.
8/8 B = 40/8
B = 5
name the image of the point y after 90 degrees rotation clockwise about the origin
(look at the picture)
Answer:(0,-2)
Step-by-step explanation:
The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. Which equation can you use to find the measure of ∠BCG? A. 60° + 35° = x B. 60° – 35° = x C. 60° + x = 35° D. 35° + x = 60° Part D The measure of ∠BCF is 60°, and the measure of ∠FCG is 35°. What is the measure of ∠BCG? Enter your answer in the box.
Answer:
60° + 35° = x
Step-by-step explanation:
The line CG is cutting the angle m<BCG to have m<BCF and m<FCG. Hence;
m<BCG = m<BCF + m<FCG
Given the following
∠BCF = 60°
∠FCG = 35°
Substitute
m<BCG = m<BCF + m<FCG
m<BCG = 60°+35°
hence the required expression is 60° + 35° = x where m<BCG is x
y = 2x
x = -y + 6
help meee !
Answer:
x = 2
y = 4
Step-by-step explanation:
y = 2x
x = -y + 6, y = 6 - x
substitute for y:
2x = 6 - x
3x = 6
x = 2
y = 4
How do i find surface area of a triangler prisim
Answer:
A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
Hope it helps..
Have a great day : P
Answer:
A prism that has 3 rectangular faces and 2 parallel triangular bases, is a triangular prism (refer to the attached picture). This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.
This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.
This three-sided prism is a polyhedron that has a rectangular base, a translated copy and 3 faces joining sides.The surface area of a triangular prism is nothing but the amount of space on the outside.The Surface area of a triangular prism is given as:
[tex]ab \: + 3bh[/tex]
y=5575(0.65)
A. Does this function represent exponential growth or exponential decay?
B. What is your initial value?
C. What is the rate of growth or rate of decay?
Answer:
A.) exponential decay
B.) 5575
C.) 65%
Step-by-step explanation:
A boat traveled 12 miles north and then
22.5 miles east. What is the shortest
distance the boat must travel to return
to its starting point?
Answer:
25.5 mi
Step-by-step explanation:
12 22.5 X
Let X be the shortest distance we are trying to find.
a units 2 b units 2 c units 2
12 units 2 + (22.5)=c units 2
144+506.25=c units 2
650.25=c units 2
[tex]\sqrt{x} 650.25[/tex]=c units 2
25.5
The distance between City A and City B is 500 miles. A length of 1.8 feet represents this distance on a certain wall map. City C and City D are 2.88 feet apart on this map. What is the actual distance between City C and City D?
Answer: 800 miles
Step-by-step explanation:
Let the actual distance between City C and City D be represented by x.
The information given in the question can be formed into an equation as:
1.8 feet / 2.88 feet = 500 miles / x
Cross multiply
1.8 × x = 500 × 2.88
1.8x = 1440
x = 1440/1.8
x = 800
Therefore, the actual distance between City C and City D is 800 miles.
5. You survey the students in your class to find out what kinds of movies they
like to watch. The students were given the following choices: Comedy (C), Horror (H), Drama (D),
Action (A), Romance (R).
The following were the results of your survey:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D,
HR
d. What is the relative frequency of the people that chose drama? Show
your calculation.
e. What is the relative frequency of the people that chose action? Show
your calculation.
f. What is the relative frequency of the people that chose romance? Show
your calculation.
g. Use the relative frequencies calculated in parts (b) – (f) to explain which
genre of movies is the most popular with your class. Explain your reasoning.
h. If you were having a party for your class which movie genre would you be
least likely to pick?
HELP
Answer:
d. The relative frequency of the people that chose drama is 0.1[tex]\overline 6[/tex]
e. The relative frequency of the people that chose action is 0.2
Step-by-step explanation:
The result of the survey is expressed as follows;
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R
Sorting the data, with Microsoft Excel, we get;
A, A, A, A, A, A, C, C, C, C, D, D, D, D, D, H, H, H, H, H, H, H, R, R, R, R, R, R, R, R
From the pivot table created with Microsoft Excel, we have
The frequency of As = 6
The frequency of Cs = 4
The frequency of Ds = 5
The frequency of Hs = 7
The frequency of Rs = 8
The sum of all frequency = 6 + 4 + 5 + 7 + 8 = 30
d. The relative frequency of the people that chose drama is given as follows;
[tex]Relative \, frequency = \dfrac{Frequency \ of \ observation}{Sum \ of \ all \ frequencies}[/tex]
The frequency of the people that chose drama = 5
The sum of all frequency = 30
[tex]Relative \, frequency \ of \ the \ people \ that \ chose \ drama = \dfrac{5}{30} = \dfrac{1}{6} = 0.1\overline 6[/tex]
The relative frequency of the people that chose drama = 0.1[tex]\overline 6[/tex]
e. The relative frequency of the people that chose action, RF action, is given as follows;
[tex]RF \ action = \dfrac{Frequency \ of \ the \ people \ that \ chose \ action}{Sum \ of \ all \ frequencies} = \dfrac{6}{30} = \dfrac{1}{5} = 0.2[/tex]
The relative frequency of the people that chose action, RF action = 0.2.
The speed of boat in still water is 15km/hr if needs 4 more his to travel 63 km against the current of a river than it needs to travel down the river determine the system of equation
Answer:
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
Step-by-step explanation:
The systems of equations are
Let us assume the rate of the current be c
Now actual speed against the current is (15 - c)
And, the actual speed with the current is (15 + c)
Here we applied the time formula i.e. distance by speed
Also the upstream time - downstream time = 4
Now the equations are
[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]
PLSS HELPP I WILL BE GIVING BRAINLIEST:)
Answer:
It is 264 inches^3
Step-by-step explanation:
The volume of the top prism = 5 x 2 x 3 = 30
The volume of the bottom prism = 2 x 13 x 9 = 234
The total of these is 264 inches^3
If one set of opposite sides of a quadrilateral are parallel but not equal, then what would be the name of the quadrilateral??
Answer:
a trapezoid i think
Step-by-step explanation:
i hope this helps
Super sorry if if im wrong
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
Help right answer get brainliest
Answer:
all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer
Answer:
6. 2 2/5
7. 66/145
8. 1 1/5
Step-by-step explanation:
Anthony did 5 quizzes and got the following scores in percentage: 70%, 50%, 90%, 80% and 40%. wat is his average score?
78 is 65% of what number (can someone explain how to solve this?)
Answer:
120
Step-by-step explanation:
78 is 65% of what number.
Let's break down this expression.
In this case "is" means "equals" so we will use the equal sign (=)
65% can be written as 0.65 or 65/100
"of" indicates multiplication
"what number" will be represented by x.
Now, put this all together.
78 = 0.65 • x
To solve for x, divide both sides by 0.65
120 = x
This is your answer.
Check this by finding 65% of 120.
0.65 • 120 = 78
Your answer is correct.
Hope this helps!
need some help with model contexts with two variable expressions
Brandon has 2/3 of a box of cereal. He eats 1/10 of a box per week. How many weeks will the cereal last?
Find the circumference of the circle. Use calculator pl or 3.14. Round to the nearest hundredth, if necessary,
9 in.
Answer: 28.3
Step-by-step explanation:
the diagram shows two rectangles that both have a width of 6 cm. the difference between the perimeters of the two rectangles is 10 cm. calculate the difference between the areas of the two rectangles
Answer:
Difference in area = 30 cm²
Step-by-step explanation:
Given:
Width of both rectangle = 6 cm
Difference in perimeter = 10 cm
Find:
Difference in area
Computation:
Perimeter of r1 = 2(L1 + 6)
Perimeter of r2 = 2(L2 + 6)
Difference in perimeter = 10 cm
2(L1 + 6) - 2(L2 + 6) = 10
L1 + 6 - L2 - 6 = 5
L1 - L2 = 5
Difference in area = [L1 x 6] - [L2 x 6]
Difference in area = 6[L1 - L2]
Difference in area = 6[5]
Difference in area = 30 cm²
HALP me pzlzzzzzzzzzzzzzz
Answer:
1 month
Step-by-step explanation:
mark me brainlyest????
Can you tell me if I got the right answer and if not let me know what the correct answer is
((will give brainliest)) What is the output of the function y = 12 + 3x if the input is 5.
Answer:
y = 27
Step-by-step explanation:
The output is the value of y when x = 5
Substitute x = 5 into the function , that is
y = 12 + 3(5) = 12 + 15 = 27 ← output
hi can you help me to answer this?
Answer:
1) 85
2) 150
Step-by-step explanation:
The measure of a minor arc is EQUAL to the central angle
"The measure of a minor arc is equal to the measure of the central angle that intercepts the arc. We can also say that the measure of a minor arc is equal to the measure of the central angle that is subtended by the arc."
can you help with this Its due today.
Answer: x squared equals y
Step-by-step explanation:
Help with the question below
Answer:
51
Step-by-step explanation:
24 ^2+45^2=x^2
=51
Find the vertex for the following functions.
f(x) = -2x2 + 8x + 3
A. (11,2)
B.(2,11)
C.(0,0)
Answer:
Vertex is (2, 11)
Step-by-step explanation:
Call the vertex (h, k)
A quick way to find h is use the formula h = -b/2a
In your case, h = -8/-4 = 2
Now, to find k.
k = f(2) = -2(2)^2 +8(2) + 3
= -8 + 16 + 3
= 11
Vertex is (2, 11)
help please asap!!!!only the correct answet please
Answer:
B
Step-by-step explanation:
A circle has diameter 10. What's the area?
a
50π
b
20π
c
100π
d
25π
Answer: 78.5
Step-by-step explanation:
Well i said 78.5 to get the radius you have to divide the diameter by 2 to get your answer but you have to make and the area might be 78.5 because thats what we do in my grade which is 7th