The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2. What is the ratio of North American butterflies to ALL butterflies?
Answer:
6:8
Step-by-step explanation:
From the above question, we are told that:
The ratio of North American butterflies to South American butterflies at a butterfly park is 6:2.
The sum of the proportion = 6 + 2 = 8
The ratio of North American butterflies to ALL butterflies is given as :
6 : 8
f(-2) =-2x+11
Evaluate the function
Happy Holidays!
[tex]\large\boxed{f(-2) = 15}[/tex]
f(x) = -2x + 11
Find f(-2) by substituting in -2 for x:
f(-2) = -2(-2) + 11
Simplify:
f(-2) = 4 + 11
f(-2) = 15
Blake burns 4 1 2calories in 2 3of a minute riding his bike. What is Blake’s unit rate?
Answer:
(4 1/2) / (2/3) =
(9/2) / (2/3) =
9/2 * 3/2 =
27/4 =
6 3/4 (or 6.75) calories per minute
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?
Answer:
1. $13.7
2. $6.3
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25
1. How much money did Bruce spend in all?
$7.50 + $3.95 + $2.25
=$13.7
2. How much change did he get back?
= $20 - $13.7
= $6.3
The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It cost the school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x+3y>300
x+y=75
Which of the following points is a solution to the system?
a. (25,70)
b. (30,45)
c. (20,15)
d. (40,35)
Answer:
b.
Step-by-step explanation:
5*30+3*45>300
150+135
30+45=75
Answer:
B)
Step-by-step explanation:
30, 45
If g(x) = 3(x − 2), find the value of x if g(x) = 6.
A. 12
B. 2.6
C. 8
D. 4
what is x − 2 y − 2 = 0 in slope intercepct form?
Answer:
y=1/2x-1
Step-by-step explanation:
hope this helps
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
How much was the tip as a percentage of the bill?
Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
How much was the tip in dollars? $7.77
How much was the tip as a percentage of the bill? 18.5%
In a bag of keys, there are 14 silver keys, 7 black keys, 10 copper keys, and 4 painted keys of various colors. One key is drawn out
at random. What is the probability that the key that is drawn is silver or copper?
Answer:
D. 24/35
Step-by-step explanation:
Step one:
Given
Sample space
14 silver keys,
7 black keys,
10 copper keys, and
4 painted keys of various colors
Sample size= 14+7+10+4= 35
in probability "or" means that we need to add events.
Hence, the probability that the key that is drawn is silver
= 14/35
the probability that the key that is drawn is copper
=10/35
Step two:
The probability that the key that is drawn is silver or copper
14/35+10/35
=14+10/35
24/35
Which equation best represents the data shown in the scatter plot below?
Answer:
y=3/2x+3
Step-by-step explanation:
Answer:
y=3/2x+3
Step-by-step explanation:
Marie has 11 coins, all of which are quarters and nickels. In all, they're worth $1.15. How many of each kind of coin does Marie have?
Answer:
Step-by-step explanation:
x + y = 11
.25x + .05y = 1.15
25x + 5y = 115
-25x - 25y = -275
-20y = -160
y = 8 nickels
x + 8= 11
x = 3 quarters
3 quarters and 8 nickels
Hurry I need help help
Step-by-step explanation:
C. This system is consistent. It has one solution.
particularly in algebra, a linear or nonlinear system of equations is called consistent
if f(x)= 6^2 and g(x)=3 +6(x). What is f(2)
Answer:
I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere
Step-by-step explanation:
Find the number that belongs in the green box.
Round your answer to the nearest tenth.
I think answer is the 10.
If ∠1 ≅ ∠2 ≅ ∠3, ∠4 ≅ ∠5, and m∠4 = m∠3 + 10°, What is m∠5?
Answer: 60° is the right answer
Step-by-step explanation:
There are 159 students to be grouped in math teams. Each team is to have the same number of students. Can each team have 3, 4, 5 or 6 students?
Answer:
3 students for each team
Step-by-step explanation:
Answer:
Each team can have 3 students.
Step-by-step explanation:
159 students grouped in three's = 159/3=53
The same thing goes for if they were grouped in 4's, 5's, or 6's.
159/4=39.75 159/5=31.8 159/6=26.5
And since you cant divide single students into splits objects, 3 is
the only solution that works.
Hope this helps. :)
if 1 case of 500 20oz. cups cost 48.38 how much does one cup cost (show all work)
Answer:
Step-by-step explanation:
if 500 cups costs 48.38
than one cup will cost
48.38/500=0.096 cents per cup
A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. what is the area of the pool?
Note the 30 and 12 is a whole number
Answer:
381.25 or 381 1/4 feet
Step-by-step explanation:
Area is a rectangle is length times width. so,
30.5*12.5 = 381.25
after allowing 30% discount on the marked price of an article,there is a profit of 10% . if the cost price is 1500 find the marked price
Answer:
2357.14
Step-by-step explanation:
x - .30x = 1500(1.10)
.7x = 1650
x = 2357.14
WILL GIVE BRAINLIEST ! A marble is picked at random.Without putting the first marble back,a second marble is picked at random find the probability that the fist marble picked is green and the second marble is picked red write your result as a percentage
Step-by-step explanation:
The percentage is 1/2 * 2/5 = 1/5 = 20%.
The probability that the first marble picked is green, and the second marble is picked red is 20%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that, there are six marbles in total, 3 are green, 2 are red and one is brown,
we need to find the probability that the first marble picked is green, and the second marble is picked red,
So, P(E) = favorable outcome / total outcome
Therefore, the probability that the first marble picked is green, and the second marble is picked red = 3/6 x 2/5 = 6/30 = 1/5 = 20%
Hence, the probability that the first marble picked is green, and the second marble is picked red is 20%
Learn more about probability click;
https://brainly.com/question/30034780
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Question: What is the number of the parking space covered by the car?
Answer:
93
Step-by-step explanation:
which mathematical property is shown here
8+-8=0
1 distributive property
2 inverse property
3 identity property of addition
HELP!! ASAP!!
Brody drew a scale drawing of a campsite. He used the scale 1 inch : 3 feet. If the actual width of the tent is 6 feet, how wide is the tent in the drawing?
Answer:
the drawing would be 2 inches
Step-by-step explanation:
9x=-9
pls help asap
I have $5 I want to get 2 things of beads to get one package it is $2.85 would I have enough to buy 2 packages of beads?
Write an equation of the line with a slope of 3 and a y-intercept of -7.
Answer:
y=3x-7
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=3x-7
15 3/8+756-
What is the answer
Answer: 771 3/8
Step-by-step explanation:
15 3/8+756
we can apply the assosiative propery and do 15+756+3/8
so 15+756= 771
so finally you do 771+3/8=771 3/8
A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel? What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
Answer:
6-hours
D = C + T
Step-by-step explanation:
The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...
C = 45x
T = 60x
Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...
45(x+2) = 60x ... distribute 45 evenly
45x + 90 = 60x ... subtract 45x from both sides
90 = 15x ... divide both sides by 15
6 = x
Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...
D = C + T
Marco need to buy some dog food at the nearest store six bags of dog food cost $25.50 how much would Marcos bag of five bags of dog food
Answer:
Five bags of dog food costs $21.25.
Step-by-step explanation:
We can solve using proportions.
[tex] \frac{6 \: bags}{25.50 \: dollars} = \frac{5 \: bags}{x} \\ \\ \frac{127.5}{6} = \frac{6x}{6} \\ \\ 21.25 = x \\ 21.25 \: dollars = x[/tex]
Find the value of r so the line that passes through the pair of points (-4, 8) and (r, 12) has the slope 4/3
.
Answer:
-1
Step-by-step explanation:
4 / (4/3) gives us three, which when added to -4 results in -1