Answer:
y=K*x equation
k=constant of variation
y= 4 when x = 10
Step-by-step explanation:
8=k*20
divide both sides by 20 to solve for k
2/5=k
y=2/5 *10
y= 4 when x = 10
plzzz what is the difference between the 15th square number and the 7th square number
Answer:
176
Step-by-step explanation:
15² - 7² = (15+7)*(15-7) = 22*8 = 176
check: 225 - 49 = 176
What is the LCM between 2 & 7?
bro i need this hella bad
Answer: 14
the answer is 14
Answer: 14
Step-by-step explanation: LCMof 2 and 7 is the smallest number among all common multiples of 2 and 7. The first few multiples of 2 and 7 are (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively.
For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?
Answer:
Price of book is [tex]9\$[/tex]
Step-by-step explanation:
Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]
We have
[tex]2x=3y[/tex]
We also have
[tex]4x+4y=60[/tex]
[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]
Price of book is [tex]9\$[/tex]
What is the least multiple 6 and 8 have in commen explain
the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60
Sammy's Chipmunk & Squirrel Observations
For a science project, Sammy observed a chipmunk and a squirrel stashing
acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The
squirrel hid 4 acorns in each of the holes it dug. They each hid the same number
of acorns, although the squirrel needed 4 fewer holes. How many acorns did the
chipmunk hide?
Answer:12 accorns
Step-by-step explanation:
If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole
Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.
According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.
Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.
Also, the squirrel needed 4 fewer holes, so s = c - 4.
Now, we can use the information to set up a system of equations:
cx = sy
c - 4 = s
Substitute the value of s from the second equation into the first equation:
c(c - 4) = 3(c - 4)
Expand the equation:
c² - 4c = 3c - 12
Now, bring all terms to one side of the equation:
c² - 4c - 3c + 12 = 0
Combine like terms:
c² - 7c + 12 = 0
Now, factor the quadratic equation:
(c - 3)(c - 4) = 0
Now, set each factor to zero and solve for 'c':
c - 3 = 0 => c = 3
c - 4 = 0 => c = 4
Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.
To learn more about equations click on,
https://brainly.com/question/28975436
#SPJ2
Which of the following satisfies 2x^2 + 5x = 7?
A) x =1
B) x = (-2)
C) x = 5
D) x = 0
What is 10 1/2 divided by 2 1/4
Answer:
4.666666667 or 4.6_ (repeating decimal)
If the diameter of a circle is [tex]\sqrt{144}[/tex] then what is the radius?
Hey there!
√144
= 12^2
= 12 * 12
= 144
Therefore, your answer should be: 12
Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.
Anyways
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
How many 1/4s are in 1 1/2
Put the numbers in ascending order:
-6, 19, 4, -22, 9
Answer:
-22, -6, 4, 9, 19
Step-by-step explanation:
hope this helps
Round 9296 to the nearest hundred?
The answer it 9300 so 9296 round to is 9300
mom left $5.00 for his 7 children. how much did each child receive
a.0.17
b.0.70
c.17
d.71
please answer it correctly.
Answer:
.71
Step-by-step explanation:
Answer:
B. 0.70
Step-by-step explanation:
Just divide the total amount of money by the total amount of people.
5/7=0.71428...
if you round up correctly, you get 0.70; thus, it is B.
Also, his is for he, mom is a she, so use her instead of his...
280 is 72% of what number?
Answer:
389
Step-by-step explanation:
MARK BRAINLIEST PLEASE
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answer:
C
Step-by-step explanation:
[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]
Answer: Choice A) -3, 11, -45, 179, ...
=====================================================
Explanation:
1st term = -3
new term = -4*(previous term) - 1
2nd term = -4*(1st term) - 1
2nd term = -4*(-3) - 1
2nd term = 12 - 1
2nd term = 11
The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.
When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.
On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.
What equation represents this sentence? 42 is the quotient of a number and 6.
Answer:
42= x/6
Step-by-step explanation:
Quotient means the answer of a division problem
sense we don’t know the ”number” in this situation it will be seen as a variable or x
x / 6 = 42
to find x we just do 42/6 to get 7
x=7
Find m
∠
F
E
D
∠FED. This question is going to be 20 points
Answer:
the answer is : 180° - (61° +61°) = 58°
Is (9, –6) a solution to this system of inequalities?
17x + 12y > 19
10x + 5y > –13
Answer:
Yes
Step-by-step explanation:
( 9 , -6 )
17(9) + 12(-6) > 19
153 + (-72) > 19
81 > 19
10(9) + 5(-6) > -13
90 + (-30) > -13
60 > -13
Solve for S
Please help me
Answer:
s = 19°Step-by-step explanation:
opposite angles = equal angles
so
106 = 6s - 8
114 = 6s
s = 114 : 6
s = 19°
--------------- check
106 = 6 * 19 - 8
106 = 106
the answer is good
Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.
Answer:
Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]
= 3[tex]\frac{3}{8}[/tex]
Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9
= 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)
= [tex]\frac{3}{8}[/tex]
The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.
7.RP.A.1 (NC)
8. Grant paddled a canoe, 3/4 mile in 1/2 hour. How fast did Grant paddle in miles per
hour?
Answer:
1.5 miles / hour
Step-by-step explanation:
The question is most easily done by converting to decimals
3/4 = 0.75 miles
1/2 = 0.5 hours
Formula
r = d/t
Solution
r = 0.75 miles / 0.5 hours
r = 1.5 miles per hour
Suppose a worker makes $286.08 in one week. If he is paid $5.96 an hour for the first 36 hours he works and then $8.94 an hour in overtime pay for each additional hour, how many hours did he work overtime
Answer:
5.96 x 36 = 214.56.
286.08 - 214.56 = 71.52
71.52 divided by 8.94 = 8.
He worked 8 additional hours.
Answer:
The worker worked about 8 hours overtime.
Step-by-step
First we figure out how much they made without overtime.
Multiply 5.96 x 36 and you would get 214.56
Then we figure out how many hours he worked overtime
Multiply 8.94 times 8 and you would get 71.52
Then take 214.56 and add 71.52, you would get 286.08, the answer is 8 hours overtime.
To solve for the hypotenuse of a right triangle, what information do you need?
To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.
(legs)^2 + (leg)^2 = (hypotenuse)^2
In your textbook, you will see it this way:
a^2 + b^2 = c^2, where a = b = legs.
Answer:
You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.
Step-by-step explanation:
First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer
\sqrt((x-(1)/(2))^(2))=3.5
Answer:
8
Step-by-step explanation:
sqrt((x-1)/2)^2))=3.5
square root and squared cancel out
(x-1)/2 = 3.5
x-1 = 7
x = 8
For every 50 emails that Nick sent in a month, he received 30 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Nick that month? (5 points)
Question 2 options:
1)
5:2
2)
3:5
3)
2:5
4)
5:3
Answer:
50:30 or 50/30
Every 50 you get 30
Step-by-step explanation:
I want a way to solve this question
Answer:
Step-by-step explanation:
[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]
∠L=60°
100 points ‼️ (I would give more but that’s the limit)
what is the answer when you multiply 5.30 one by 5.02
Answer:
I think is there answer is 26.606
4. The population of a town is modeled by the equation P = 3485e
0.125
, where "P"
represents the population as of the year 2000.
• According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.
Student's Work
Student's Answer
A. Part A: 11,571 people in 2010
Part B: approx. 22 years
B. Part A: 38,416 people in 2010
Part B: approx. 13 years
C. Part A: 11,571 people in 2010;
The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000
The population model is given as:
[tex]P(x) = 3485e^{0.125x}[/tex]
(a) The population in 2010
In 2010, the value of x is 10.
So, we have:
[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]
Evaluate the exponent
[tex]P(10) = 3485 * e^{(1.25)}[/tex]
This gives
[tex]P(10) = 121634[/tex]
(b) Year to reach 50000
This means that P = 50000.
So, we have:
[tex]50000 = 3485e^{0.125x}[/tex]
Divide both sides of the equation by 3485
[tex]14.35 = e^{0.125x}[/tex]
Take natural logarithm of both sides
[tex]\ln(14.35) =0.125x[/tex]
[tex]2.66 =0.125x[/tex]
Divide both sides by 0.125
[tex]21.28 = x[/tex]
Rewrite as:
[tex]x =21.28[/tex]
Approximate
[tex]x =21[/tex]
Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000
Read more about population models at:
https://brainly.com/question/25630111
i could use help plz
Answer:
6.70
+26.87
33.57
Step-by-step explanation:
Couldn't explain sorry
-hope it helps
(dy)/(dx) = (x ^ 2)/(1 + y)