Step-by-step explanation:
[tex]\begin{array}{c|cc}12&2\\6&2\\3&3\\1\end{array}\qquad\qquad\begin{array}{c|cc}56&2\\28&2\\14&2\\7&7\\1\end{array}\\\\12=\boxed{2}\cdot\boxed{2}\cdot3\\\\56=\boxed{2}\cdot\boxed{2}\cdot2\cdot7\\\\GCF(12,\ 56)=\boxed{2}\cdot\boxed{2}=4\\\\LCM(12,\ 56)=\boxed{2}\cdot\boxed{2}\cdot3\cdot2\cdot7=168[/tex]
Grandma baked
96
cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c
cc fewer cookies than she would have received had all of the cookies been evenly divided among the
8 grandchildren.
Answer:
[tex]12-c[/tex] Cookies
Step-by-step explanation:
The question is to find how many cookies did Cindy receive (write as an expression)?
Total cookies baked = 96
If evenly divided among 8 grandchildren, each would get:
[tex]\frac{96}{8}=12[/tex]
Each grandchildren would have gotten 12 cookies
Now, Cindy received "c" fewer than this (12), so Cindy received:
12 - c Cookies
Cindy Received = 12 - c Cookies
Answer:
96/8 - c.
Step-by-step explanation:
She is divideing among the grandkids so it would be 98/8-c
Make a conjecture about the diagram below. Do you think you can conclude that △JKL ≅ △XYZ? Explain your reasoning.
Answer:
△JKL ≅ △XYZ by HL congruency for right triangles
Step-by-step explanation:
If only given two sides and an uncontained angle, the triangles may not necessarily be congruent. However, since the given angle is a right angle, they are congruent.
When given that the hypotenuse and any "leg" of the right triangles are equal, the triangles are congruent.
Since one angle is 90°, the other two angles must be acute. This is unlike the ambiguous case when given an uncontained acute angle, where two possible triangles can be made by making another angle obtuse.
Imagine an isosceles triangle cut in half at the altitude, creating two right triangles (JKL and XYZ). They have the same angle measures. Each with a right angle, the angle that had an equal measure in the isosceles, and the unequal angle bisected. For the triangles' sides, the isosceles base was bisected by the altitude, and they have the same altitude.
A group of 21 people need to take an
elevator to the top floor. They will go in
groups of seven. They are deciding who
will go in the first group.
Answer:
The numbers are 18, 22.5, and 13.5
Step-by-step explanation:
You first need to figure out what number you use to multiply to find your answer. I found 4.5
Now, multiply all numbers by 4.5
4 x 4.5 = 18
5 x 4.5 = 22.5
3 x 4.5 = 13.5
Step-by-step explanation:
Help pls multiply 3.96584 by 100
Answer:
396.584
Step-by-step explanation:
just move the decimal right 2 spaces when multiplying by 100
Answer:
396.584
Step-by-step explanation:
Write as a mixed number:
25/3
Answer:
8 1/3
Step-by-step explanation:
To write an improper fraction as a mixed number,
we divide the denominator into the numerator.
My work is attached below.
starting in 2000 what is estimated population and annual growth rate of 19,169,000 at 0.6% for 2025 not sure how to do this
Answer:
The estimated population in 2025 will be 22261221.
Step-by-step explanation:
Let us assume that the annual growth rate is compounded annually on the population.
Now, in 2000, the population was 19169000 and the annual growth rate is 0.6%, the the population in the year 2025 will be given by
[tex] 19169000(1 + \frac{0.6}{100} )^{25} = 22261220.7[/tex] ≈ 22261221
Therefore, the estimated population in 2025 will be 22261221. ( Answer )
There are between 50 & 60 eggs in a basket. When roza counts by 3's there are 2 leftover and when she counts by 5's there are 4 leftover. How many eggs are in the basket?
(is there a way to solve this without having to go through all the options)
There are 59 eggs in the basket
Step-by-step explanation:
There are between 50 & 60 eggs in a basket
When Roza counts by 3's there are 2 leftoverWhen she counts by 5's there are 4 leftoverWe need to find how many eggs in the basket
∵ When Roza counts by 3's there are 2 leftover
∵ When she counts by 5's there are 4 leftover
- That means the number of eggs when divided by 3 give
remainder 2 and when divided by 5 give remainder 4
- To find the number look for the numbers that divisible by 5 and
add 4 to them and then check the remainder when they divided
by 3
∵ Between 50 and 60 there is only one number divisible by 5
is 55 (not including 50 or 60)
∵ 55 + 4 = 59
∴ 59 gives remainder 4 when divided by 5
Let us check them with 3
∵ 59 - 2 = 57
∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)
∴ 59 when divide by 3 gives remainder 2
∴ 59 gives remainder 4 when divided by 5 and remainder 2 when
divided by 3
∴ The number of eggs in the basket is 59
There are 59 eggs in the basket
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how do i figure out 9 1/6 - 8 5/6
and 10 3/4 - 6 4/4?
Answer:
1) [tex]9\frac{1}{6}-8\frac{5}{6}=\frac{1}{3}[/tex]
2) [tex]10\frac{3}{4}-6\frac{4}{4}=3\frac{3}{4}[/tex]
Step-by-step explanation:
You can convert he mixed numbers to improper fractions:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained to the numerator.
3. The denominator does not change.
Then:
[tex]9\frac{1}{6}=\frac{54+1}{6}=\frac{55}{6}\\\\8\frac{5}{6}=\frac{48+5}{6}=\frac{53}{6}\\\\10\frac{3}{4}=\frac{40+3}{4}=\frac{43}{4}\\\\6\frac{4}{4}=\frac{24+4}{4}=\frac{28}{4}[/tex]
Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:
[tex]1)\ \frac{55}{6}-\frac{53}{6}=\frac{55-53}{6}= \frac{2}{6}=\frac{1}{3} \\\\2)\ \frac{43}{4}-\frac{28}{4}=\frac{43-28}{4}= \frac{15}{4}[/tex]
Divide 15 by 4. The quotient will be 3 and the remainder 3.
Then:
[tex]\frac{15}{4}=3\frac{3}{4}[/tex]
In winter, a sporting good stores sells 5 times as many snowboards as it as it sells during summer the store sells 132 snowboards in the summer how many so much does a store sale in winter
The tens digit of a two-digit number is 3 less than the units digit. Find the original number, if the sum of that number and the number reversed is 143.
Let...
x=ones digit
x-3=tens digit
The number in terms of x would be...
10(x-3)+x = 11x-30
The number with its digits reversed would be...
10(x)+x-3 = 11x-3
And...
11x-30+11x-3=143 We can solve for x!
22x=176
x=8
The number would be 58.
answer: 58
The two digit number needed is valued 58.
Given that:
The tens of a two digit number = unit's digit - 3
Number reversed + The number itself = 143
Let the ones digit of that two digit number be x and the tens digit be y. Then by place value concept, we have:
[tex]10(y) + x[/tex]
Since the tens digit = unit digit - 3
Thus we have:
[tex]y = x - 3[/tex]
or the number is :
[tex]10(x-3) + x = 11x - 30[/tex]
Now sum of the number and the number reversed is 143, which means:
[tex]143 = 10(x) + (y) + 10(y) + x = 10x + (x-3) + 11x - 30\\143 = 22x - 3 - 30\\x = 8[/tex]
Thus, the number is [tex]10(x-3) + x = 50 + 8 = 58[/tex]
Thus, the two digit number needed is valued 58.
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Four speed skaters, Marco
Answer:
???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
Ben saved $66 and spent $30. What percentage of his money did he spend? Round your answer to the nearest whole percent
Answer: 50%
Step-by-step explanation:
Answer: Nope it's 55%
Step-by-step explanation:
come on somebody plz help
Answer:
A=πr^2 and A=πr'^2 by the definition of area
Anita and Susanna are in a 5-mile bike race. The graph shows each racers distance from the start as a function of time. What could describe Anita's race from minute 3 to minute 5
Answer:
The best could describe Anita's race from minute 3 to minute 5, She was standing, not moving, she could have been in an accident.
Step-by-step explanation:
See the attached figure.
As shown in the figure, we can note that the distance from minute 3 to minute 5 is constant which is equal to the distance at minute 3.
So, the average distance from minute 3 to minute 5 will be zero and hence the speed of Anita will be zero
So, From minute 3 to minute 5, She was standing, not moving.
Note: speed of Anita from minute 3 to minute 5
= ( distance difference) / (time difference) = zero / (5-3) = 0/2 = 0
To describe the race from minute 3 to 5, analyze the graph paying attention to the x and y axis and the slope of the curve. A straight line suggests constant speed, an upward line implies acceleration, and a downward line denotes deceleration.
Explanation:To describe Anita's race from minute 3 to minute 5, we need to analyze the provided graph which depicts the distance from the start as a function of time for both racers. In this case, we do not have the actual graph so it's important that when you are presented with a graph you pay attention to the
x and y axis
, which in this instance are time and distance. It's vital to also look at the slope of the curve during those minutes 3 to 5 for Anita. If it's a straight line, it means Anita was biking at a
constant speed
. If the line is going upward, Anita was accelerating, and if the line is going downward, she was decelerating. Without the graph itself, it's hard to provide a definitive answer. But the basic method of reading the graph will help you understand the function of time and distance in the context of a race.
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PLEASE SOLVE THE QUESTION BELOW
Answer:
There are 4 chairs in one row.
Step-by-step explanation:
Let [tex]$ x $[/tex] be the number of chairs in one row.
That is the length of one row.
Now, from the given data, three rows of length 3x can be formed with one chair left.
Or, if 15 extra chairs given, we can form 7 rows of the same length.
This means that there are [tex]$ 3x + 1 $[/tex] chairs in the first case. And since with 15 extra chairs we can form 7 rows, the equation would be
[tex]$ (3x + 1) + 15 = 7x $[/tex]
Solving this for '[tex]$ x $[/tex]', we get:
[tex]$ 3x + 16 = 7x $[/tex]
[tex]$ \implies 4x = 16 $[/tex]
[tex]$ \implies x = 4 $[/tex]
Therefore, the length of each row is four.
That is, there are four chairs in one row.
Solve the following equation for x.
3x - (2x - 3) = 2x + 9
Answer:
x=-6
Step-by-step explanation:
3x-(2x-3)=2x+9
3x-2x+3=2x+9
x+3=2x+9
3=2x-x+9
3=x+9
x=3-9
x=-6
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges
Answer: One small box of oranges costs $7 and one large box of oranges costs $13.
Step-by-step explanation:
Let be "s" the cost in dollars of one small box of oranges and "l" the cost in dollars of one small box of oranges.
Based on the data given in the exercise, you can set up the following System of equations:
[tex]\left \{ {{3s+14l=203} \atop {11s+11l=220}} \right.[/tex]
Use the Elimination Method to solve it:
- Multiply the first equation by 11 and the second one by -3.
- Add the equations.
- Solve for "l".
Then:
[tex]\left \{ {{33s+154l=2233} \atop {-33s-33l=-660}} \right.\\...............................\\\\121l=1573\\\\l=13[/tex]
- Substitute the value of "l" into any original equation and solve for "s":
[tex]3s+14(13)=203\\\\3s=203-182\\\\s=\frac{21}{3}\\\\s=7[/tex]
choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent. Given: C, F are rt. (angles) ; AB = DE ; BC = EF
HL
LL
HA
LA
Answer:
The abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
HL.
Step-by-step explanation:
The Figure is attached below
Given:
AB = DE ; BC = EF
∠C = ∠F = 90°
To Prove:
ΔACB ≅ ΔDFE
Proof:
Hypotenuse Leg Theorem:
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The abbreviation is HL
In ΔACB and ΔDFE
AB ≅ DE ……….{Hypotenuse congruent Given}
BC ≅ EF ……….{Given}
∠C ≅ ∠F = 90° …………..{Measure of each angle is 90° given}
ΔACB ≅ ΔDFE ….{Hypotenuse Leg ( HL ) Theorem}
Answer:
HLStep-by-step explanation:
ODYSSEY
help pleaseeeeeeeeee
Answer: Area of Δ DUO = 12.0 square units.
Step-by-step explanation:
From the diagram, Δ DPA is a right angled triangle and right angled at P.
Therefore ∠D will be
Tan ∅° = PA/DP ie, opposite side all over the adjacent.
= 4.5/3.75
Tan∅° = 1.2
to calculate ∅°, we know find the inverse of Tan 1.2
∅ = Tan^-1 1 .2 from your log tables or calculator
∅° = 50.20°.
= 50°
Since line DR is ⊥ to line OP
∠ADR = 90° - 50°
= 40°.
From the diagram,
∠ADR = ∠UDR = 40°
Therefore,
∠ODU = 180 - ( 40 + 40 + 90 ) { Angle on a straight line }
= 180 - 170
= 10°
From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.
Now find the height MU
Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.
MU = Tan10.0 x 10.0
= 0.1763 x 10.0
= 1.763
Therefore to calculate the area of Δ DUO
= 1/2 x base x height
= 1/2 x line OD x line MU
= 1/2 x 14.0 x 1.763
= 7 x 1.763
= 12.341
= 12.0 square units.
=
In Exercise #13 above, how many different combinations would be possible if the three numbers do not have to be different (for example, 20-20-20 could be a combination)?
Answer:
116 280
Step-by-step explanation:
number of combination = 20 x 19 x 18 x 17 = 116 280
HOPE THIS HELPED ;3
The number of different combinations are there if the numbers must be all different is 19380.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Given that, a combination lock has 20 numbers on it.
Different three-number combinations
= 20!/3!(20-3)!
= 20×19×18×17!/3!×17!
= 20×19×18×17/(3×2×1)
= 10×19×6×17
= 19380
Therefore, the number of different combinations are there if the numbers must be all different is 19380.
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"Your question is incomplete, probably the complete question/missing part is:"
A combination lock has 20 numbers on it. How many different three-number combinations can be made? How many different combinations are there if the numbers must be all different?
1.What is the circumference of a circle with a diameter of 2.9 cm?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
___ cm
------------------------------
2.What is the circumference of a circle with a radius of 7.9 inches?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
____ in.
Answer:
(1) 9.106 cm
(2) 49.612 inches
Step-by-step explanation:
Answer:
1. C =9.106 cm 2.C =49.612 inches
Step-by-step explanation:
To solve these problems, we will follow the steps below;
First write down the formula for calculating the circumference of the circle
C= 2πr
where c is the circumference of the circle and r is the radius of the circle
1) From the question diameter = 2.9 cm, but radius is half of the diameter, this implies that radius = [tex]\frac{d}{2}[/tex]= [tex]\frac{2.9}{2}[/tex]=1.45 cm
We can now proceed to insert the values into the formula;
C= 2πr
= 2×3.14×1.45
=9.106 cm
C =9.106 cm
2) From the question, radius = 7.9 inches and π=3.14
We can now go ahead to insert the values into the formula C= 2πr
C = 2×3.14× 7.9
=49.612 inches
C =49.612 inches
A 5 pairs of jeans and 2 sweatshirts costs $233, while 3 pairs of jeans and 4 sweatshirts costs $193. Find the cost of one sweatshirt.
The cost of one sweatshirt is $19.
Step-by-step explanation:
Let,
Cost of one pair of jeans = x
Cost of one sweatshirt = y
According to given statement;
5x+2y=233 Eqn 1
3x+4y=193 Eqn 2
Multiplying Eqn 1 by 2
[tex]2(5x+2y=233)\\10x+4y=466\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](10x+4y)-(3x+4y)=466-193\\10x+4y-3x-4y=273\\7x=273[/tex]
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{273}{7}\\x=39[/tex]
Putting x=39 in Eqn 2
[tex]3(39)+4y=193\\117+4y=193\\4y=193-117\\4y=76[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{76}{4}\\y=19[/tex]
The cost of one sweatshirt is $19.
Keywords: linear equation, subtraction
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what is the function, domain and range of {(1,1) (2,2) (3,5) (4,10) (5,15)}?
Step-by-step explanation: To determine whether the relation shown here is a function, it's important to understand that a function is a relation in which each x-term corresponds to exactly one y-term.
Each of the x-terms shown here 1, 2, 3, 4, and 5 appears only once so each x-term corresponds to only one y-term. So yes, this relation is a function.
The domain of a relation is the set of all the x-terms of the relation. So here, the domain will be the set of all the x-terms or {1, 2, 3, 4, 5}.
The range of a relation is the set of all the y-terms of the relation. SO here, the range will be the set of all the y-terms or {1, 2, 5, 10, 15}.
Solve the problem.
5) The odds in favor of Carl beating his friend in a round of golf are 7:2. Find the probability that
Carl will beat his friend.
A)
Answer:
0.7
Step-by-step explanation:
Find Explanation attached
2(5x-1)-(2x-5) simplify
Answer:
c
Step-by-step explanation:
c
Answer:
Step-by-step explanation:
2(5x - 1) - (2x - 5) =
10x - 2 - 2x + 5 =
8x + 3 <===
Use the figure below.
Which best describes the pair of angles:
24 and 25?
A. vertical
B. adjacent
C. linear pair
D. complementary
Answer: B. Adjacent
Step-by-step explanation: They share a common side and vertex
What is the domain of the rational function, f of x equals quantity x minus 5 over quantity 2 times x minus 3
The domain of the function f(x) = (x - 5) / (2x - 3) is all real numbers except for x = 3/2 because this value would cause the denominator of the function to be zero, which is undefined.
Explanation:The domain of a function refers to all possible values that can be inputted into the function, or 'x' values. For a rational function, such as f(x) = (x - 5) / (2x - 3), it is important to note that the function is undefined for values of x that would make the denominator equal zero. Because functions cannot have a denominator of zero, these values should be excluded from the domain.
To find these values, you would set the denominator equal to zero and solve. Thus, 2x - 3 = 0. Solving this, x = 3/2. Therefore, all real numbers except for x=3/2 are in the domain for this rational function.
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1. What is the total cost of a $95.00 item with a sales tax of 6%?
Since the sales tax is 6%, the object will cost 1.06 (100% + 6%) times the original value.
1.06 × $95.00 = $100.70
The object will cost $100.70.
Let me know if you need any clarifications, thanks!
geometry thanks if you help!
Answer:
D
Step-by-step explanation:
For a function to be true, there cannot be the same x used for two different ys. D is the only table that follows this rule.
If you awnser this question please include work
Answer:
3/2
Step-by-step explanation:
2+1=3
3*3/2=4.5
it would not make sense if it was 2/3 cuz look what u get.......
3*2/3=2
Answer:
When x increases by 1, y increases by 3/2 = 1.5Step-by-step explanation:
If x and y are proporttional then
[tex]\dfrac{y}{x}=costant\to\dfrac{y}{x}=a\to y=ax[/tex]
From the table we have x = 2 and y = 3.
Substitute:
[tex]3=2a[/tex] divide both sides by 2
[tex]\dfrac{3}{2}=\dfrac{2a}{2}\\\\\dfrac{3}{2}=a\to a=\dfrac{3}{2}[/tex]
Therefore we have:
[tex]y=\dfrac{3}{2}x[/tex]
We increase x by 1:
[tex]y_1=\dfrac{3}{2}(x+1)[/tex] use the distributive property
[tex]y_1=\underbrace{\dfrac{3}{2}x}_{y}+\dfrac{3}{2}\Rightarrow y_1=y+\dfrac{3}{2}[/tex]