Answer:
GCF(54, 42) = 6 arrangements
Step-by-step explanation:
The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...
54 = 6×9
42 = 6×7
The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.
6 identical arrangements of 9 roses and 7 tulips can be made.
_____
Additional comment
When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.
When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.
54 = 2×3×3×3
42 = 2×3×7
These factorizations have 2×3 = 6 in common.
__
Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.
54/42 = 1 r 12
42/12 = 3 r 6
12/6 = 2 r 0 . . . . GCF = 6
This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.
Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.
Answer:
Mike's sisters age is 5 years old
Step-by-step explanation:
Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old
(8.1 + 7.4) – 25 ÷ 2.5
[tex](8.1 + 7.4) - 25 \div 2.5 \\ = 15.5 - 25 \div 2.5 \\ = 15.5 - 10 \\ = 5.5[/tex]
Answer:5.5
Hope it helps.
Do comment if you have any query.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{(8.1 + 7.4) - 25 \div 2.5}}\\\large\boxed{= \mathsf{\bold{15.5} - 25\div2.5}}\\\large\boxed{\mathsf{= 15.5 - \bf 10}}\\\large\boxed{\mathsf{= \bf 5.5}}\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{5.5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
P: It's sunny.
Q: It's snowing. R: It's not raining.
Translate the following words into symbols: It's sunny and it's not snowing.
ΟΡΔΟ
O Q–> P
O PA~Q
O~P ^ Q
Answer: Choice C. [tex]P \wedge \sim Q[/tex]
Explanation:
Anywhere you see "it's sunny", replace it with "P".
We'll replace the "and" with the symbol [tex]\wedge[/tex] which is used for conjunctions.
The squiggly [tex]\sim[/tex] refers to "not" and it negates or flips whatever statement Q is. Q stands for "it's snowing" so [tex]\sim Q[/tex] is the complete opposite of "it's not snowing".
We don't use statement R at all.
Find the selling price for each item given the cost and the percent of the markup or discount.
flat-screen TV: $669; 23% markup
A. $153.87
B. $692
C.515.13
D.822.87
find the value of x in the triangle.
[tex] = > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21[/tex]
After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .
Answer:
The equation that represents the above statement is 17+x = 23
The value of x in the equation is 6
Step-by-step explanation:
17+x = 23
x = 23 - 17
x = 6
What is the quotient?
-3/8 divided by -1/4
Answer: D. 1 1/2.
Step-by-step explanation: -3/8÷-1/4 (-3/8)(-4/1) -3/8/-4/1 Cancel out the terms of 8 and -4. 8/4 (-3)(-1)/2 3/2 D. 1 1/2
Remember y=mx +b Given the following graph what would the equation be?
Answer:
b. y=1/2x-2
Step-by-step explanation:
We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2
what is x^2+6^2=10^2
Answer:
Follow the order of operations and then solve from there
x^2 is simplifed to its max
6^2 is 36
10^2 is 100
x^2+36=100
Follow it normally
x^2=64
√64 = 8
x=8
**edited, sorry for the incorrect answer**
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
First lets write our equation
[tex]x^2+6^2=10^2[/tex]
SolveWe will use PEMDAS, or also known as BOMDAS
[tex]x^2+36=100[/tex]
Subtract 36 from both sides
[tex]x^2=64[/tex]
Find the square root of 64
[tex]\sqrt{64} =8[/tex]
[tex]x=8[/tex]
Brainliest please :)
IM SO CONFUSED!!! I need help what is the difference between 1+0 and 1x1 HURRY DUE TODAY
Answer:
one is addition the other is multiplication, though, both the sum and product equal the same solution
Step-by-step explanation:
hope it helps
Answer:
The answer is 0
Step-by-step explanation:
1+0=1
1x1=1
1-1=0
List the first six common multiples of 6 and 9
Answer:
The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )
Solve. −425=x−114 What is the solution to the equation? Enter your answer as a simplified mixed number in the box. FIRST PERSON TO ANSWER GETS 100 POINTS
Answer:
-311
Step-by-step explanation:
−425 = x − 114
=> x = -425 + 114
=> x = -311
Therefore, -311 is our answer.
Hoped this helped.
Solve the system by substitution: y = 4x - 6
y=5x
Answer:
y=4x-6
5x=4x-6 {putting y =5x}
5x-4x=-6
x=-6
Which number has a prime factorization of 2x2x5x5x7x7
Answer:
4900
Step-by-step explanation:
multiply all those numbers together
2x2x5x5x7x7 = 4900
Whats the value of 6 in 1.267
Answer:
hundredths place
Step-by-step explanation:
please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
It will be ln / secx + tanx / + c
Answer:
ln|sec(x) + tan(x)| + c
Step-by-step explanation:
∫sec(x) dx
secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))
let u = sinx
we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)
as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)
so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c
Solve the slope for the table.
Answer:
5
Step-by-step explanation:
Change in Y / Change in X = Slope
5/1 = 5
Bài 43 sgk trang 225 và làm thêm giùm mình phần d và phần e trong ảnh nhoa :>
Answer:
Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.
Step-by-step explanation:
Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.
The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2
This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?
Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil
Answer:
If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)
135 x 3 = 405
1 x 3 = 3
2 x 3 = 6
130 x 3 = 390
1 x 3 = 3
2 x 3 = 6
So Sanjay would need the following to make 24 pancakes:
405g flour
3tsp baking powder
6tbsps sugar
390mL milk
3 eggs
6tbsps oil
Answer:
405 g flour
3 tsb baking soda
6 tbsps sugar
390 mL milk
3 eggs
6 tablespoons oil
answer the following
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1.) 7x-3=18
2.) 9x-4=32
3.) 5x-1=64
4.)12x-9=39
5.) 2x-1=2
6.) 4x-8=10
7.) 15x-2=3
How to divide different bases with same exponents.
Can someone please help me? Thank you!
Answer:
Step-by-step explanation:
1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.
Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]
2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{5}[/tex]
3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.
Radical form is [tex]\sqrt[5]{3^{2} }[/tex]
4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{3^{5} }[/tex]
If you need to ask any question, please let me know.How to find the distance between two points.
Answer:
you take your small number and multiply it by the big number
Step-by-step explanation:
100 points if u get this right ty bye now!
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.
Answer:
Step-by-step explanation:
COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))
Find the perimeter, in feet, of the rhombus.
32 feet
60 feet
34 feet
68 feet
Help me with this please!!
Answer:
A=2/6 B=5/6
Step-by-step explanation:
I really hope this helps! (i love math!)
Translate the phrase into an algebraic expression.
The product of 6 and c
Answer:
c x 6 = x
Product judy basically means multiplication.