Answer:
x = 13
Step-by-step explanation:
3x = 6x - 39 solve for x
Sally's class went to the zoo. Out of the 24 students at the zoo, 5/8 wanted to see the penguin exhibit. How many students wanted to see the exhibit?
Answer:
15 kids wanted to see the penguins
Step-by-step explanation:
get the denominator to 24 by multiplying the top and bottom by 3. (3×5=15)
Find the value of x
Answer:
We know that the area of a triangle is:
1/2 * base * height
We are given:
base = x + 6
height = x
area = 108 m^2
Applying the formula:
Area = 1/2 * base * height
108 = 1/2 * x * (x + 6)
x² + 6x = 216
x² + 6x - 216 = 0
x² + 18x - 12x -216 = 0 (Splitting the middle term)
x(x + 18) - 12(x + 18) = 0
(x + 18) (x - 12) = 0
Hence, we have 2 possible values for x: -18 or 12
Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x
Therefore, x = 12
You need a 15% alcohol solution. On hand, you have a 180 mL of a 45% alcohol mixture. How much pure
water will you need to add to obtain the desired solution?
You will need
mL of pure water
to obtain
mL of the desired 15% solution.
Submit Question
Let x be the amount of pure water that you use.
The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.
However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that
(81 mL) / ((180 + x) mL) = 0.15
Solve for x :
81 / (180 + x) = 0.15
81 / 0.15 = 180 + x
540 = 180 + x
x = 360
Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.
So you need to use 360 mL of pure water to get 540 mL of 15% solution.
5. Solve the system of equations.
x + y = 6
2x - y = 9
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 40% of one-night visitors buy a unit, and 40% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit
Answer:
0.143.
Step-by-step explanation:
The first step to take in answering this question is to take or determine the probability in each cases, multiply and sum them up. Therefore, let us delve right into the solution of this problem;
[a]. Historical data indicates that 20% of all potential purchasers select a day visit. Thus, the probability that potential purchasers selects a day visit = 0.20.
[b]. Historical data indicates that 50% choose a one-night visit. Thus, the probability that potential purchasers selects a one-night visit= 0.50.
[c]. Historical data indicates that 30% of all potential purchasers opt for a two-night visit. Thus, the probability that potential purchasers opt for a two-night visit = 0.30.
[d].Historical data indicates that 10% of day visitors ultimately make a purchase. Thus, the probability that a day visitors ultimately make a purchase = 0.1.
[e]. The probability for 40% of one-night visitors buy a unit =0.4
[f]. The probability for 40% of two nights decide to buy =0.4.
STEP ONE: Determine the probability that the visitor makes a purchase.
The probability that the visitor makes a purchase = [a] × [d] + [b] × [e] + [c] × [f]. = 0.2 × 0.1 + 0.5 × 0.4 + 0.3 × 0.4 = 0.02 + 0.02 + 0.12 = 0.14.
STEP TWO: Determine How likely is it that this person made a day visit.
0.2 × 0.1/ 0.14 = 0.1428571428571429
if a car travels 400 meters in 20.5 seconds how fast is it going
Answer:
The car is going 43.6475 mph
Step-by-step explanation:
Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-coordinate of 3?
(will give brainliest if right)
A. −3
B. −2
C. 2
D. 3
Answer:
-3
Step-by-step explanation:
How do you solve (4x+9)(2x-4)?
Answer:
8x^2+2x-36
Step-by-step explanation:
Use foil method
Answer:
10x-36
Step-by-step explanation:
so you are going to use the distributive property.
solve for y.
[tex]y + 10x = 3[/tex]
[tex]y + 10x = 3[/tex]
find x,y,and z if AB||CD
Step-by-step explanation:
Hey there!
75° + 28° + angle KFG = 180°( being linear pair)
103° + angle KFG = 180°
angle KFG = 180° - 103°
Therefore, angle KFG= 77°
Now;
angle KFG + 28° +22° + X= 180°{ co-interior angle}
77°+28° + 22°+x= 180°
X = 180°-127°
Therefore, X = 53°
y == X+22°= 75° { being alternate angle}
angle KFG+x+z = 180° {sum of interior angle of triangle}
77°+53° + z = 180°
z = 180° - 130°
z= 50°
Therefore, X= 53°, y = 75° and z= 50°.
Hope it helps...
Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $120 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Plzzzz hellpppp
Tanmayi will need $30 more to reach her goal.
$120 + n = $150
$150 - $120 = 30
n = 30
Answer at least one question below. (PLEASE HURR, I WILL GIVE 5 STARS TO THE PEOPLE WHO ANSWER A QUESTION)
1) What is the value of x that satisfies the
inequality below? 25, 100, or 101
x/4 > 25
2) What is the value of x that satisfies the
inequality below? -6, -2, or 2
.7x + 2.8 ≥ −1.4
3) What is the solution to the inequality
below? Graph the solution
3x > 21
4) Demarcus wants at least $18 to buy a
shirt. He already has $4. Write
the inequality that could be used to find
how much more money, m, Demarcus
needs?
5) Timothy wants to buy a shirt for $25.75.
He has $19.25. What is the minimum
amount he must earn to be able to
buy the shirt?
6) There are 60 members in the school
glee club. The glee club needs to raise
at least $5,000 for a trip to a national
competition. The school agreed to
contribute $1,000 toward the trip.
Which of the inequalities below shows
the amount of money that each glee
club member needs to raise to help
pay for the trip?
7) 2x – 4 ≤ 12
8) n – 19 ≥ - 27
9) x/ -6 +2 > 1
10) x + 8 ≥ 12 & graph
11) -7x – 5 25
Answer:
I believe the answer to #5 is $6.50.
Step-by-step explanation:
25.75-19.25=6.50
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
Answer:
Step-by-step explanation:
We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.
Let R(x) = 300x-2x²
C(x) = 5000+4x
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
Rearrange:
P(x) = -2x+300-4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Note that the functions are assumed. Use this concept to solve your real question
If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Here, We can assume revenue and expenses.
Let R(x) = 300x - 2x²
C(x) = 5000 + 4x
How do you calculate revenue profit?It is the difference between the total revenue and the total expenses.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
P(x) = -2x + 300 - 4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Learn more about revenue profit here:
https://brainly.com/question/13128315
. How can you determine if two ratios are equivalent. Be sure to include examples to support you response.
Answer:
By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent. Multiply both numbers in the first ratio by the second number of the second ratio. For example, if the ratios are 3:5 and 9:15, multiply 3 by 15 and 5 by 15 to get 45:75.
Kalib rented a car for 5 days while on vacation in Miami. His total bill was $279. How much
the rental car cost him each day?
Answer:
he would pay 55.8 dollars each day for 5 days
Step-by-step explanation:
Are the ratios 9:7 and 2:1 equivalent?
Answer:
no they are not
Step-by-step explanation:
9:7 / 2:1 = 4.61904762
Answer:
9:7 and 2:1 should not be equivalent.
Step-by-step explanation:
Ratios are similar to fractions, if the ratios, 9:7 and 2:1 are to be put into fraction form, they would not equal the same thing.
9:7 = [tex]\frac{9}{7}[/tex]
2:1 = [tex]\frac{2}{1}[/tex] = 2
As shown above, they do not equal the same thing, this also goes for their decimal form and so on.
The linear parent function is always (increasing/decreasing).
Answer:
I'm pretty sure it's increasing
Step-by-step explanation:
because the linear parent function is x=y, no negative signs
Answer:
Increasing
Step-by-step explanation:
4) A B с D 2 2 If these numbers are ordered from least to greatest, at which letter will be located? A) A B) B. © C D) D
Answer: C
Step-by-step explanation: (1/5 in decimal form is 0.2) (25% in decimal form is 0.25) (then u got 1.3 and) (2/7 in decimal form is (0.28 so A= least D= greatest) A: least, B: middle C: to, D: greatest
so A: 1/5, B: 25% C: 2/7 D: 1.3
so your answer to this question is D
in order to find the biggest decimal you'll have to see which number is bigger in front of the decimal and if there is no number infront look right behind it, D is the greatest because 1.3 is another way of saying 1 whole and 1/3 but besides the point your answer is C
one last question please
Answer:
B
y = -4x
Step-by-step explanation:
PLZ mark brainliest
please help! The height of a plant is increasing at a rate of 3 centimeters every 2 days. At this rate, how many centimeters does the height increase in 14 days? *
Answer:
21 cm increase over 14 days
Step-by-step explanation:
14 days / 2 days = 7 days.
3 cm every 2 days * 7 days =
3 * 7 = 21 cm
solve D
6d-11/2=2d-13/2
Answer:
d = -1/4 or -0.25
now that i helped you can you go follow my twitch KayduxTV
Step-by-step explanation:
Answer:
d= -1/4
Step-by-step explanation:
First: subtract 2d from each side so you end up with 4d-11/2=-13/2
Second: next add 11/2 to both sides so you end up with 4d=-1
last: divide each by 4 to get d by itself
your final amswer is d=-1/4
In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls
Answer:
390 girls.
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] of 650 is 390.
A ratio shows us the number of times a number contains another number. The number of girls in the school will be equal to 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that in the school, there are 3 girls for every 2 boys. Therefore, the ratio of girls to boys in the school can be written as,
Ratio = Girls / Boys = 3 / 2
Now, as per the ratio of the girls to boys, we can assume that the number of girls and boys in the school are 3x and 2x, respectively.
Further, given that the total number of students in the school is 650. Therefore, the total number of students can be written as,
Number of boys + Number of girls = 650
3x + 2x = 650
5x = 650
x = 130
Thus, the number of girls in the school can be written as,
Number of girls = 3x
= 3 (130)
= 260
Hence, the number of girls in the school will be equal to 260.
Learn more about Ratios:
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What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?
Answer:
4x +y = 4
Step-by-step explanation:
The intercept form of the equation for a line is ...
x/x-intercept +y/y-intercept = 1
For the given intercepts, this is ...
x/1 +y/4 = 1
Multiplying by 4 gives the standard-form equation:
4x +y = 4
Figure A is a scale image of Figure B, as ahown.
The scale that map Figure A onto Gigure B is 1:3 1
-
2
Enter the value of X
Answer:
x = 15
Step-by-step explanation:
1:3 is also known as 3.
Any scale factor that is greater than 1 will be an increased dilation of the shape.
Figure A to Figure B:
5 • 3 = x
x = 15
What are the x-intercepts of the graphed function?
Answer:
(1,0) and (-3,0)
Step-by-step explanation:
It is because at those points on the graph is where the graphed function crossed the x-axis.
Work this problem
9.215 -627
Answer:
−617.785
Step-by-step explanation:
What steps should be used to find 55% of 300
Answer:
165
Step-by-step explanation:
55/100 = 0.55
0.55x300= 165
Answer:
165
Step-by-step explanation:
I know this cause i got it right
Urgent help plzzzzzzz
Answer:
What is the question?
Step-by-step explanation:
Jim has 3 apples. Mary takes 2. How many apples does Jim have now? PLZ HELP THIS IS IN MY HIGH SCHOOL MATHBOOK AND I DONT KNOW THE ANSWER.
Answer:
1
Step-by-step explanation:
3-2=1
Answer:
Jim has 3
Mary takes 2
Remaining apple=3-2 =1
thus, Jim has 1 apple jeft
If the modulus is 4 and the real part is –2.0, what is the imaginary part?
Answer:
3.5
Step-by-step explanation:
edgenuity2020
Answer:
B 3.5
Step-by-step explanation: