Answer:
x = 36; y = 42
Step-by-step explanation:
x+6 = y
7x = 6y
7x = 6(x+6)
7x = 6x+36
-6x -6x
x = 36
_________
y = 36+6
y = 42
_________
how can i estimate 75.78 - 49.381 by first rounding each number to the nearest whole number
NO LINKS!!!
Please help me with parts b and c.
9514 1404 393
Answer:
b. A × B = GCF(A, B) × LCM(A, B)
c. 15 = GCF × LCM / 20
Step-by-step explanation:
b. The products of the numbers in the table are 80, 108, 216, 45.
The products of the corresponding GCF and LCM are 80, 108, 216, 45.
Conjecture: the product of the numbers is equal to the product of the GCF and LCM.
__
c. GCF×LCM = 5×60 = 300 = A×B = 20×B
B = 300/20 = 15
The other number is 15, found by using the conjecture of part b.
_____
Additional commentIf you think for a minute about what the GCF and LCM are, you realize the relationship discussed in this problem must be the case. Consider the factors of two numbers A and B:
A = (factors in common with B) × (factors unique to A)
B = (factors in common with A) × (factors unique to B)
The GCF, by definition, are (factors in common between A and B).
The LCM, by definition, is the product of unique factors:
(common factors) × (factors unique to A) × (factors unique to B)
__
Then the product of the LCM and the GCF is ...
GCF × LCM =
(factors in common) × ((factors in common) × (unique to A) × (unique to B))
Using the associative and commutative properties of multiplication, we can rearrange this product to be ...
((factors in common)×(unique to A)) × ((factors in common)×(unique to B))
= A × B
__
Personally, I use a kind of diagram to represent the factorization of A and B and their LCM and GCF:
[unique to A (common] unique to B)
Then A = factors in [ ], and B = factors in ( ). The stuff in (common] is the GCF, and the overall product is the LCM.
Using the example of part c, this would look like [4 (5] 3), so A = 4·5 = 20 and B = 5·3 = 15. The GCF is 5, and the LCM is 4·5·3 = 60.
The end parts [unique to A( and ]unique to B) can have no common factors. Any common factors must reside in the (common] part.
Help with a b and c pleaseee I’ll give brainliest !
Answer:
b. 254.34
c. 3.33
that is the answer I suppose
ei
Extend geometric sequences
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What is the next term of the geometric sequence?
250, 50, 10,
Show Calculator
Stuck? Review related articles/videos or use a hint.
Report a pro
Answer:
2
Step-by-step explanation:
Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.
Here is a better picture!
Answer:
Part A: A) [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Part A:Use the Quotient Rule of Exponents:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Base y:[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).
Base w:[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).
Base z:[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex] We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).
Altogether, you'll have:
Option A: [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
EASY PLEASE HELP HELP
Write the scale without units: 1 cm:1 km
Answer:
1:1
Step-by-step explanation:
thats how you write scale
mark brainliest pls
Find the domain and range of this relation. Is it a function? {(0,0),(1,1),(2,4),4,-6)}
Answer:
Domain: {0,1,2,4}
Range: {0, 1, 4, -6}
Step-by-step explanation:
Hi there!
The domain is the set of all x-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The x-values are 0, 1, 2, and 4.
Domain: {0,1,2,4}
The range is the set of all y-values in a relation.
{(0,0),(1,1),(2,4),4,-6)}
The y-values are 0, 1, 4 and -6.
Range: {0, 1, 4, -6}
A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.
I hope this helps!
Un conjunto de 10 000 observaciones tiene una distribución normal con media de
450. Si 1700 de ellas están comprendidas entre 450 y 460. ¿Cuál es la desviación
estándar?
Answer:
567898765
Step-by-step explanation:
How do I Graph 2y=-8
4/7 + 2/7 = ? can yall plzz help me simplify the awnser
Answer:
6/7 is the correct answr
Taco Tuesday math paper restraint
The number of students spent time useing electronic devices is ? Times the number of hours spent playing sports
what is 5/8 - 1/2 ??
Answer:
1/8
Step-by-step explanation:
First convert 1/2 to eighths:
1/2 = 4/8
5/8-4/8= 1/8
Hope this helps! :)
Write the equation of the line with a slope of -3/4 and a y-intercept of 8 in slope
intercept form
144 = -12 (x + 5)
find x
Show work.
Answer:
-17 =x
Step-by-step explanation:
144 = -12 (x + 5)
Divide each side by -12
144/-12 = -12 (x + 5)/-12
-12 = x+5
Subtract 5 from each side
-12-5 =x+5-5
-17 =x
Answer:
[tex]144=-12x-60\\12x=-204\\x=-17[/tex]
Step-by-step explanation:
Peter owns a store that sells men's clothing. His most significant monthly expenses to run the store are the cost of retail items and the power bill. This month, he purchased 50 suits for his store. He also
needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month:
50 (x) + 35 (x + 25) + 450
What does (x + 25) represent?
А-the cost of 25 suits
B-the cost of each pair of shoes
C-the total cost of the pairs of shoes
D-the price of one suit and one pair of shoes
Answer:
B-the cost of each pair of shoes
Step-by-step explanation:
This is because each pair of shoes cost $25 dollars more than each suit (which is represented by x)
x + 25, represents the cost of each pair of shoes. Option B is correct.
Given that,
This month Peter purchased 50 suits for his store. He also needed to buy 35 pairs of shoes, which cost $25 dollars more than each suit. The expression shows Peter's total expenses for this month
50 (x) + 35 (x + 25) + 450, What x + 25 represents the equation is to e determined.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
Let x be the rate of each suit,
and the cost of the shoe is $25 dollars more than each suit. So,
50 (x) + 35 (x + 25) + 450
In the equation, x + 25 represent the cost of each pair of shoe.
Thus, x + 25, represents the cost of each pair of shoes. Option B is correct.
Learn more about polynomial function here:
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(a) The area of a rectangular parking lot is 5964 m².
If the length of the parking lot is 84 m, what is its width?
Answer:
71 m................
area =length *width
5864=84*width
width=5864/84
hence width is 71m
f(x)=2(x-5)(x+7) What is f(-7)
Answer:
f(- 7) = 0
Step-by-step explanation:
Substitute x = - 7 into f(x) , that is
f(- 7) = 2(- 7 - 5)(- 7 + 7)
= 2 × - 12 × 0
= - 24 × 0
= 0
( p + 6 ) + ( 8p + 2 )
Answer:
9p+8
Step-by-step explanation:
p+8p= 9p
6+2= 8
9p+8
Answer:
Step-by-step explanation:
(p+6) + (8p+2)
(p+8p) + (6+2)
9p + 8
what are some expressions to solve a product of 120? a(6x10)+(20x10) b.20x6 c. (6x2)+(10x2) d.(2x5)+(55x2)
Answer: D. i took the test.. Happy to Help! :)
Step-by-step explanation:
pls help I will put brainliest
26
the number line ticks count by 2
hope this helped :)
- 5/2 divided by 5)7
Answer:
-7/2
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ - \frac{7}{2} }[/tex][tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
let's solve ~
[tex] \dfrac{ - 5}{2} \div \dfrac{5}{7} [/tex][tex] \dfrac{ - 5}{2} \times \dfrac{7}{5} [/tex][tex] \dfrac{ - 1 \times 7}{2 \times 1} [/tex][tex] - \dfrac{7}{2} [/tex]please help me with this sum
Answer:
lol no34532534
Step-by-step explanation:
1 * w^3
how do you multiply these
Answer:
it will be w^3
a shopkeeper bought six crates of soda at 300 shillings each he was also charged 200 for transport during transportation 44 bottles broke and he sold each of the remaining bottle for 15 sh. if each crate holds 24 bottles what was his percentage loss
Answer: 52,5%
Step-by-step explanation:
For 6 cases of soda, he had to make a profit in the amount of:
6×300=1800 sh
And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:
1800-200=1600sh
Total bottles of soda - 24 × 4= 96 b
He also broke 44 bottles - 96-44=52 b
Then he earned :
52×15=13×4×15=60×13=780 sh
Then he suffered a loss in the amount of :
1600-780 =820 sh
As a percentage
[tex]\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}[/tex]
solve pls brainliest
Answer: 100.4
Step-by-step explanation: 800 - 699.6 = 100.4
From past experience, it is known that a telemarketer makes a sale with probability 0.2. Assuming that results from one call to the next are independent. Determine the probability that telemarketer makes:___.
a. the first sale on the third call
b. the first sale after the third call
c. the second sale on the fifth call
d. the second sale before the fifth call
helping with this question
Answer:
G. 5
Step-by-step explanation:
I've done this exam beofre
If Carol pays $62.90 to fill the 17-gallon gas tank in her vehicle and she can drive 330
miles on one tank of gas, about how much does she pay per mile to drive her vehicle?
Answer:
Step-by-step explanation:10
Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
а
a
O A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
O B. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
о
C. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the longer period
D. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
What is Interest Rate?An Interest Rate is the rate at which a person either takes a loan, or a person lends money to somebody.
The interest rate is different for different types of loans, some interests are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.
A payday loan has principal of $1500
It is due in 12 days, so time period is 12 days.
The interest amount is $90
I = P * R *T / 100
90 = 1500 *12 *R /100
R = 0.5 %
A payday loan has principal of $1500
It is due in 10 days, so time period is 10 days.
The interest amount is $90
90 = 1500 *10 *R /100
R = 0.6 %
The rate of interest is more for a payday loan for $1500 that is due in
10 days with a fee of $90.
Hence, the correct answer is A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
To know more about Interest Rate
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