The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answer:
a= 12, c= 24
The Solution:
a=?, c=?, No. of people attending=36
since c is twice as many as a, a= 2a
a + 2a= 36
3a= 36
(divide both sides by 3)
3a/3=36/3
a= 12
therefore, a= 12
since c is equals to 2a,
2a= 2(12)
2a= 24
therefore, c= 24
Which answer is an equation in point-slope form for the given point and slope?
Point (1, 9), Slope: 5
(A) y - 9 = 5(x + 1)
(B) y+9 -5(x - 1)
(C) y-9=5(x - 1)
(D) y-1-5(x +9)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
In your case, m=5 and (x₀,y₀)=(1,9):
y-9 = 5(x-1)
Ethan tired to write an equation of the linear table but made a mistake. Need help it’s due today!?!?
Given:
The table for a linear function.
To find:
The equation of the linear function.
Solution:
If a linear function passes through two points, then the equation of linear function is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the given table. Let the two points are (2,-2) and (4,0). So, the equation of linear function is
[tex]y-(-2)=\dfrac{0-(-2)}{4-2}(x-2)[/tex]
[tex]y+2=\dfrac{2}{2}(x-2)[/tex]
[tex]y+2=x-2[/tex]
Subtracting 2 from both sides.
[tex]y+2-2=x-2-2[/tex]
[tex]y=x-4[/tex]
So, Ethan 's made a mistake. The sign between x and 4 must be negative but in Ethan's equation it is a positive sign, which is not correct.
Therefore, the required linear equation is [tex]y=x-4[/tex].
Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo
-4-2-2) - 2x + 5 = 31
Answer:
2x+5=31 is the most common correct answer
seven more than twice a number is -4
Answer:
-5.5
Step-by-step explanation:
[tex]2x+7=-4\\2x=-4-7\\2x=-11\\x=-5.5[/tex]
Answer:
-11/2
Step-by-step explanation:
Let the number be a
(2a)+7= -4
2a= -4-7
2a= -11
a= -11/2
I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?
Answer:
She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.
Step-by-step explanation:
First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”
can someone help me?
(if you can show your work that would be nice).
Answer:
1. x1=15.75.
2. 24/48=0.5
3. 24/25=0.96
Step-by-step explanation:
1. 15.75/18=0.875
2. you multiply 48 times 0.5 to find 24.
3. multiply 0.96 with 25 to get 24.
The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s tank hold?
Answer:
To calculate this you just have to calculate a rule of three with both gas tanks, so if the dad´s car holds 12 gallons of gas, and the mom´s car holds 50% more that means 150% of in the rule of three: So the total amount of gallons that the mom´s car tank can hold is 18 gallons.
1a) solve the equation
Find the values of x and y in the diagram.
Answer:
x = 3
y = 10
Step-by-step explanation:
In triangle KLN, measure of all angles are equal.
Therefore, it is an equilateral triangle.
All sides of an equilateral triangle are equal.
So,
y - 4 = 6
y = 6 + 4
y = 10
In triangle LMN, measures of angles M and N are equal, Therefore,
LM = LN
x + 3 = y - 4
x + 3 = 10 - 4
x + 3 = 6
x = 6 - 3
x = 3
please help me please i really need help please
Answer:
I think it would be all of the above
Step-by-step explanation:
:)))
Please help, you HAVE to show your work! Write down the problem, show your work, and put a picture of your work with your answer! Will give Brainliest to the person with the correct answer! Worth 20 points!
Answer:
The total surface area of the shape is 376 square inches.
Bonus: the volume is 240 cubic inches.
Step-by-step explanation:
I'm not going to draw this for you, but to get the area, you just need to add up the area of the 6 rectangles.
First though, you need to know what they are. This is easier than it may seem though. You just need to remember that this will be folded into a rectangular box. You are given three side lengths, which is all that is needed for a box.
That is to say, you're given the width, height and length of this box. It's 10x8x6 inches.
so if you take every possible pairing of those numbers:
10x8
10x6
8x6
you have the area of all of the shapes. The only catch is that there are two of each size. Front and back are the same size, left and right are, and so are top and bottom.
So the total area of the shape is:
(front and back) + (left and right) + (top and bottom)
= (2 × 10 × 8) + (2 × 10 × 6) + (2 × 8 × 6)
= 160 + 120 + 96
= 376
Or rather, 376 square inches.
Bonus: the volume is much easier, being just 10 × 8 × 6, or 240 cubic inches.
What is the equivalent of 2/6
Answer:
1/3 3/9. 4/12
Step-by-step explanation:
Answer : 1/3
Explanation : you can divide 2•2=1 and 6•2=3
(You must show equality properties in work so I can earn full credit)
Solve the equation. Enter your answer in the box.
x=³√27
x = _____
Answer:
The cube root of 27 is 3
is every relation a function?
A group of five friends went out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the same, so they wanted to split the bill evenly. Without considering tip, how much should each friend pay? *
Answer:
$10.75
Step-by-step explanation:
$53.75 / 5 = $10.75
Answer:
$10.75
Step-by-step explanation:
$53.75 ÷ 5 = $10.75
This is showing the total split amongst the five people. $10.75 is the price that each friend will pay if the bill is split evenly
help mee please and thanks
Answer:
x= −1/5y + 2/5
Step-by-step explanation:
Let's solve for x.
y=−5x+2
Step 1: Flip the equation.
−5x+2=y
Step 2: Add -2 to both sides.
−5x+2+−2=y+−2
−5x=y−2
Step 3: Divide both sides by -5.
Answer:
x= -1/5y + 2/5
not 100% sure if ur trying to solve for x or just graph that equation but hopefully this helped lol :)
go through my questions there a surprise:)
Answer:
I will do that buddy. I'll have fun
Can someone please help me ..
Answer:
A.) Coefficient
Step-by-step explanation:
While it is a term, it says which word best describes it, so it would better be classified as a coefficient since coefficients have variables attached to them
Maria found a circular rug for her floor. The rug has a circumference of 50.24 inches. Which formula should Maria use to help her find the diameter of the rug?
Answer:
She should use the formula [tex]C = \pi d[/tex] to find a diameter of 16 inches.
Step-by-step explanation:
The circunference of a circle is given by:
[tex]C = 2\pi r[/tex]
In which r is the radius, which is half the diameter. So, it can also be given by the following formula:
[tex]C = 2\pi \frac{d}{2} = \pi d[/tex]
In which d is the diameter.
Which formula should Maria use to help her find the diameter of the rug?
She should use this formula:
[tex]C = \pi d[/tex]
Since the circunference is 50.24 inches, the diameter will be of:
[tex]d = \frac{C}{\pi} = \frac{50.24}{\pi} = 16[/tex]
a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
a. how many 12.7 mg chewable tablets would be taken in a week?
b. this antihistamine also comes in a liquid form with a concentration of 12.7 mg / 6 ml following the prescribed dosage how much liquid antihistamine should a 100-pound person take in a week?
Answer:
a)46 tablet approx
b)277 ml approx
Sounds off topic but I'm feeling sad today, my teacher gave me a project and springboard for homework and I'm crying rn because of how much stress and pressure for me none of my family help me because they don't understand English I wish for positive things love you all <3
Answer:
man i get that- but just try and keep your head up!! you got this!!
Step-by-step explanation:
have cute picture of a cat!!
Things are only hard if you make them, so simply tackle it like the hulk in avengers: age of Ultron! Besides, with as bright of a head as you have on your shoulders, it should be a piece of cake! Also while doing the project, try listening to music. That way, it makes the time pass by and before you know it, your in the teachers room with that A+ project. Anyway, I wish you the best of luck and hope you have a wonderful day! :)
The number of goats in a farm increases by 5 goats each year. If the farm has a population of 20 goats after the first year, and n denotes the number of years, which recursive equation gives the population of goats, , as a function of the year?
Answer:
f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2
(the > has a line under it)
Step-by-step explanation:
Answer:
f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2
Step-by-step explanation:
The other person left some numbers out.
Whoever answers gets brainliest I need 1-4 ASAP please!!! Thank you
a
Step-by-step explanation:
What is the perimeter of the rectangle given below?
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.
Answer:
Kindly check attached picture for sample space.
Step-by-step explanation:
Sample space, S
S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
The tree diagram for all 18 elements in the sample space can be found in the picture attached below :
a.)
Event A ; number on die < 3
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
b.)
Event B ; 2 tails occur :
B = {1TT, 3TT, 5TT}
QUESTIONS B, C and E are not well formatted
Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Answer:
c
Step-by-step explanation:
you would do
m = money overall
(m*1.08) +3000= you would do that twelve times
I need help please?!!!!
Answer:
A
Step-by-step explanation:
the relationship between x and y is constant; 5/3
Answer:
the answer is A because x and y are constants
10 POINTS! PLZ ANSWER!
Where do planes ABC and BFG intersect?
See
In plane ABC or ABCD and plane BFGC or BFG. the common side is
line BCSo both the planes intersect at line BC
Option B