Step-by-step explanation:
The variables can be represented as x and y for the two books.
y=3x+4
x+y=72
Use substitution or elimination to solve the problem. I would personally go with substitution, but its all personal preference.
The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Earth ever gets to Jupiter is 3.65 × 108 miles. What is a correct representation of the number of years it will take light to travel from Earth to Jupiter at this distance? Check all that apply.
Answer:
[tex]6.21\times 10^{-5}\ \text{light years}[/tex]
Step-by-step explanation:
The distance light travels in one year is known as a light year.
[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]
The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]
[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]
Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]
guys pls pls help WILL mark brainliest
Answer:
Yes, y varies directly with x. The constant of variation is -3 so the function rule would be y= -3x
Step-by-step explanation:
If you look at the y values in the table, they are just the x values but multiplied by -3.
-3 x (-3) = 9
4 x (-3) = -12
6 x (-3) = -18
Direct variation can be shown by y=kx, where k is a constant. The resulting function creates a linear graph.
−8x+9y=-21 -3x+9y=−36
Answer:
x=-3 y=-5
Step-by-step explanation:
big brain
Solve for r.
-13 = r/9 + 8
Answer:
Your answer is going to be r= -189
Step-by-step explanation:
(-13)-8=(r/9+8)-8
9(-21)=(r/9)9
r=-189
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!!!!!!
Answer: 6 i thank
Step-by-step explanation:
So three quarters is 1/3. So 1/3 of 18 is 6.
And the average size of an Gecko is 18in
And a Iguanas is 1/3 that of an Gecko
Hopefully that helps
The Walnut Cove Ruritan Club sells hot dogs and drinks from a concession stand at the annual 4th of July parade. Carl bought 4 hot dogs and 6 drinks and paid $23.80. Susan purchased 4 hot dogs and 2 drinks and was charged $15.40. What is the cost of 1 hot dog and what is the cost of 1 drink?
Let, cost of 1 hot dog and 1 drink is x and y respectively.
Carl bought 4 hot dogs and 6 drinks and paid $23.80.
4x + 6y = 23.80 ....1)
Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.
4x + 2y = 15.40 ....2)
Subtracting equation 2 by 1, we get :
(4x + 6y) - (4x + 2y) = 23.80 - 15.40
4y = 8.4
y = $2.1
4x + 6×2.1 = 23.80
4x = 23.80 - 12.2
4x = 11.6
x = 2.9
Therefore, the cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.
Hence, this is the required solution.
PLEASE HELP!
Solve x2 + 5x = −6.
x = 5 and x = 1
x = −5 and x = −1
x = 3 and x = 2
x = −3 and x = −2
X^2 + 5x = -6
Add 6 to both sides:
X^2 + 5x + 6 = 0
Using the quadratic equation x = -b +/-sqrt(b^2 -4ac )/2a replace the letters with their values and solve for x.
A = 1, b = 5 , c = 6
Solving for x you get -2 and -3
The answer would be x = -3 and x = -2
Directions: Solve the problem Label your final answers. Show all work.
Tickets to the Haunted House are $6.50 for adults and $4.30 for children.
How much would it cost for two adults and four children?
How much change would you get if you pay for the tickets with a $50 bill?
Answer:
The total cost for two adults and four children is $30.2
The change that you would get if you pay for the tickets with a $50 bill is $19.2
Step-by-step explanation:
$6.5 * 2 adults = $13
$4.3 * 4 children = $17.2
$13 + $17.2 = $30.2
$50 - $30.2 = $19.8
Hope this helps and pls do mark me brainliest if you can:)
Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying the rest. He earned a one-time $900 scholarship. How much will he need to pay for the two years of college from his savings or by working? $1,100 $2,200 $3,100 $4,900
Answer: $3100
Step-by-step explanation:
Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:
= $2000 × 2
= $4000
Since he earned a one-time $900 scholarship. The amount left to pay will be:
= $4000 - $900
= $3100
Answer:
3100
Step-by-step explanation:
Solve for g: 4gh+3=−8
Answer:
-2.75h-1
Step-by-step explanation:
What is the inverse operation of addition?
Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.
Step-by-step explanation:
determine which postulate or theorem can be used to prove that
Answer:
ASA
Step-by-step explanation:
Which pairs of numbers have an LCM of 24? Choose ALL that apply.
A: 3 and 8
B: 2 and 12
C: 6 and 4
D: 8 and 6
E: 4 and 12
Answer: The answer is A and D.
Step-by-step explanation:
The pairs of numbers that have 24 as their least common multiple are 3 and 8 and 8 and 6.
What is the least common multiple?A multiple of a number is the product of an integer and that number. The least common multiple is the smallest multiple that is common to two numbers.
Least common multiple of 3 and 8 = 24
Least common multiple of 2 and 12 = 12
Least common multiple of 6 and 4 = 12
Least common multiple of 8 and 6 = 24
Least common multiple of 4 and 12 = 12
To learn more about multiples, please check: https://brainly.com/question/26030133
#SPJ2
I will mark as brainly please hurry!
Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.
Answer:
just divide and add x and y
Step-by-step explanation:
Answer:
11 days
Step-by-step explanation:
2600 = 235x+15
- 1 5 - 15
2585 235x
/235 /235
11 = x
-8x + 3y = 18
-7x – 2y= 25
(-3,-2)
Answer: what is the question though
Step-by-step explanation:
What value of x satisfies 6x - 8 = 22 - (x - 5)?
A. 6
B, 5
C. 4
D. 7
Answer:
B
Step-by-step explanation:
6(5)-8=22-(5-5)
30-8=22
22=22
The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?
Answer:
77.88 minutes
Step-by-step explanation:
Given that :
Mean (m) = 70
Standard deviation (s) = 10
For 80% of student to complete the exam. In the given time
Using the formula :
Zscore = (X - mean) / standard deviation
80th percentile = 80/100 = 0.8 has a Zscore = 0.7881
0.7881 = (X - 70) /10
0.7881 * 10 = X - 70
7.881 = X - 70
7.881 + 70 = X
77.881 = X
Hence, 77.88 minutes should be given
HELP PLEASE & EXPLAIN . *like i said on my other question if you answer my math questions that i post accurately i will give you brainliest each time *
Marty's class collected $34.00 in a school-wide penny collection contest. If Tommy's class added $3.00 to the amount they collected,x,and then multiplied the sum by 2, they would have the same amount of money as Marty's class.
a) $20.00
b) $14.00
c) $3.00
d) $17.00
Answer:
It is so C
Step-by-step explanation:
hopefully that really helps you have a great day
Elimination
- 14x - 18 y = 18
7x + 9y = -9
Answer:
Your answer is: (x , -1 -7x/9 )
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Step-by-step explanation:
Hope this helped : )
Twelve Divided by the sum of a number and five
McKenzie told her friend, “If you increase my age by 8, multiply that quantity by 1/2 , and then subtract 6, you get 5.” Write an equation that matches McKenzie’s description using x as the variable.
Answer:
(8x/2)-6=5
Step-by-step explanation:
describes the end behavior of the graph.
Answer: B) [tex]+\infty[/tex]
=================================================
Explanation:
As x goes to positive infinity, we're moving forever to the right.
If we have a point on the curve, then the point will move to the right and it will also move upward forever.
So as [tex]x \to \infty[/tex] we have [tex]y \to \infty[/tex]
Because y = f(x), this is the same as saying [tex]f(x) \to \infty[/tex]
The notation [tex]+\infty[/tex] is the same as [tex]\infty[/tex]
In terms of words, we can say "the curve rises to the right" to describe the end behavior on the right.
The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function? P–1(t) = 19,300 log5 (t) P–1(t) = log5 (19,300t) P–1(t) = log5 (StartFraction t Over 19,300 EndFraction) P–1(t) = 19,300 (One-fifth) Superscript t
Answer:
The inverse of the function is
P^-1(t) = Log5 t - Log5 19,300
or P^-1(t) = Log5 (t/19,300)
Step-by-step explanation:
Here, we want to find the inverse of the function.
Make t the subject of the formula, then solve the equation for P(t)
P(t) = 19,300(5)^t
Replace P(t) with t and t with P(t)
So we have
t = 19,300(5)^P(t)
Now make P(t) subject of formula
divide both sides by 19,300
t/19,300 = 5^p(t)
By logarithmic law:
Log5 (t/19,300) = P(t)
Hence P(t) = Log5 t - Log5 19,300
Now replace P(t) with P^-1(t)
So the inverse is;
P^-1(t) = Log5 t - Log5 19,300
Answer:
C)
Step-by-step explanation:
got it right on edge :)
If one is subtracted from seven times a certain number,
the result is the same as if 31 is added to three times the
number. Find the number.
Answer:
The number is 8
Step-by-step explanation:
Does anyone know how to do this??
Answer:
Step-by-step explanation:
i'll explain how to do 9), it is the same process for the rest
y = 2x - 1
thus the value of 'y' should be the same as the result of '2x - 1'
when x = 5, 2x - 1 = 2(5) - 1 = 9, Thus (x, y) = (5, 9)
when x = 2, 2x - 1 = 2(2) - 1 = 3 Thus (x, y) = (2, 3)
when x = 0, 2x - 1 = 2(0) - 1 = 1 Thus (x, y) = (0, 1)
so in the table we have
x 2x - 1 y (x, y)
5 9 9 (5, 9)
2 3 3 (2, 3)
0 1 1 (0, 2)
we can now plot these values on a graph to look like so
Is the following relation a function?
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Can you guys please help me again
Answer:
its D 1 7/8 also which is 1R7
Step-by-step explanation:
mark me as brainliest
0.52 divided by 0.0013
Answer:
400
Step-by-step explanation:
Write 0.00034 as a multiple of a power of 10.
Answer:
3.4X10^-4
remove the zeros and add a decimal point after the first number eg.
0.00034 --> 34 --> 3.4
then add a x 10 eg.
3.4x10
then add a power- if the number is larger than 1 count the amount of zeros and add that as your power eg.
3400 -> 34 -> 3.4 -> 3.4x10^2
If the number is lower than one use a negative power eg.
0.00034 -> 34 -> 3.4 -> 3.4x10^-4
(Hope this helps sorry if its to complicated)
I need help please I don’t understand this
Answer:
cosB = 21/75, tanB = 72/21
Step-by-step explanation:
Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:
SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan, o is opposite and A is adjacent.