Please give Brainliest!
Answer:
60
Step-by-step explanation:
Get that A.
David has 400 yards of fencing and wishes to enclose a rectangular area against a pre-existing fence. What is the maximum area that David can have?
A. 5000 yd^2
B. 10000 yd^2
C. 15000 yd^2
D. 20000 yd^2
Answer: D
The maximum area that David can have is 10,000 yd^2
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as:
A = lw
l is the lengthw is the widthIf David has 400 yards of fencing, then;
P = 2(l +w)
400 = 2( l+ w)
200 = l + w
l = 200 - w
Substitute into the area
A = (200-w)w
A = 200w - w^2
If the area is maximized, then;
dA/dw = 0
dA/dw = 200 - 2w
2w =200
w = 100 yards
Recall that;
200 = l + w
l = 200 - 100
l = 100
The maximum area = 100 * 100
The maximum area = 10,000 yd^2
The maximum area that David can have is 10,000 yd^2
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What is the simplest form of the radical expression?
V2+V5
V2-15
Sorry,
Neither of these are radical expressions.
Traits of a radical expression:
The radicand is positive. The radical index is as small as possible.The exponent of each factor of the radicand is a natural number less than the radical index.There are no fractions in the radicand.There are no radicals in the denominator of a fraction.Skye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry .
a. Make a list of all of the possible ice cream orders.
b. What is the probability that Mario will get something with apricot ice cream?
C. What is the probability that he will get a sundae?
d. What is the probability that he will get either something with chocolate or a waffle cone with blackberry?
e. What is the probability that he will get orange sherbet?
Answer:
a)
apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundaeb) 1/3
c) 1/2
d) 1/2
e) 0
Step-by-step explanation:
a) There are 2 different types of dessert and 3 different ice cream flavors.
Therefore, there are 6 possible ice cream orders:
apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundaeb) There are 2 different desserts with apricot ice cream.
⇒ P(apricot ice cream) = 2/6 = 1/3
c) There are 3 combinations of sundae.
⇒ P(sundae) = 3/6 = 1/2
d) P(chocolate) = 2/6 = 1/3
P(blackberry waffle cone) = 1/6
⇒ P(choc) OR P(BWC) = 1/3 + 1/6 = 1/2
e) P(orange sherbet) = 0
as orange sherbet was not an option!
Question 4 of 10
Table below represents average food cost broken down by meal. If you were
planning a trip, how much should you budget for food costs per day?
Breakfast
Lunch
$10.98
$13.95
$22.56
Dinner
A. $80.00
O B. $45.00
Ο Ο Ο Ο
O C. $50.00
O D. $20.00
SUBMIT
Answer:
D
Step-by-step explanation:
1. Add the costs together 10.98+13.95+22.56=47.49
2. To get an average, divide by the amount of numbers you added together. We added 3 numbers together (10.98+13.95+22.56) so we divide by 3.
47.49/3=15.83
The option closest to our number is D so we round up.
$15.83->$20
Have a good day.
Answer:
C
Step-by-step explanation:
add up breakfast, lunch, and dinner averages. equals 47.49 which is close to $50 for the day
What is the slope of the line that contains the points (1,-1) and (-2, 8)?
Answer:
Slope= 3/-1 or -3
Step-by-step explanation:
-2-1= 3
8- -1= 9
OS
Question 2
A circle has a centre C (1,3)The end points of a diameter of the circle are A (-3,2k) and B (5,k)
Find the value of k, k
Answer:
k = 2
Step-by-step explanation:
We'll need the Midpoint Formula: the midpoint of a segment joining points [tex](x_1, y_1) \text{ and }(x_2, y_2) \text{ is } \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]. In other words, average the x's, then average the y's.
The midpoint of a diameter is the centre of the circle!
The midpoint of the segment joining (-3, 2k) and (5, k) is
[tex]\left(\frac{-3+5}{2}, \frac{2k+k}{2} \right)=\left(1,\frac{2k+k}{2}\right)=\left(1,\frac{3k}{2}\right)[/tex]
That last expression is the centre of the circle; it is the same as (1, 3).
[tex]\left(1,\frac{3k}{2}\right)=\left(1,3\right)\\\frac{3k}{2}=3\\3k=6\\k=2[/tex]
pls can u gus tell me the ans and explanation
Answer:
2325 mL
Step-by-step explanation:
Let x = total volume of the tank. When we fill 4/5 of water into the tank, the amount of water we have can be expressed by 4x/5. Then we only keep 1/3 of that amount (poured away 2/3 of the water), so the amount of water is 4x/15. Thus we set up the equation like this:
4x/15 = 620
4x = 9300
x = 2325
Thus the tank can contain a maximum of 2325 mL.
If you select a card at random, what is the probability of getting a 4 of hearts
Answer:
LOVE I THINK LOL
Step-by-step explanation:
FOUR HEARTS MEAN YOU ARE GOING TO MARRY A LOVLY WOMAN LOL.
Find two consecutive whole numbers that square root 29 lies between
Answer:
25 and 36
Step-by-step explanation:
5x5=25
6x6=36
can ppl pls look at my three recent questions on my page and help me?? ill mark brainliest and there is pictures!
done answer your three lates question, now give me brainliest please
Solve log x = 4. (help pls)
Answer:
x=10000
Step-by-step explanation:
because calculator
Answer:
[tex]x=10000[/tex]
Step-by-step explanation:
[tex]log(x)=4\\\\10^{log(x)}=10^4\\\\x=10000[/tex]
concept of pattern in mathematics.
Step-by-step explanation:
A pattern is a series or sequence that repeats.
Math pattern are sequences to calculate or
solve a problem.
Order the angle measures , , and from least to greatest.
(Note that the figure is not drawn to scale.)
Mark the theorem below
The angle which measures biggest the opposite side of that angle is biggest.Here
8<10<12JH<IH<JINow
<I < <J < <HAnswer:
least to greatest: ∠I < ∠J < ∠H
Explanation:
angle I:
cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]
I = [tex]cos^{-1} (\frac{3}{4} )[/tex]
I = 41.41°
angle H:
cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]
H = [tex]cos^{-1} (\frac{1}{8} )[/tex]
H = 82.82°
angle J:
cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]
J = [tex]cos^{-1}(\frac{9}{16} )[/tex]
J = 55.77°
They sum up to 180°, so the steps are correct.
STEP BY STEP, LONG DIVISION
Answer:
.53
Step-by-step explanation:
divide 8 by 15 and you get 0.53 explanation As a decimal 8/15 is 0.533 (3 repeating) or about 0.53. To convert 8/15 into a decimal value we simply divide 8 by 15. Since 15 cannot be divided into 8 we add a decimal and a zero then divide 15 into 8, giving us 5 with 5 remaining. Adding another zero allows us to divide 15 into 50 3-times with 5 remaining.
one hundred coins weigh 346 grams. How many does 1 coin weigh?
Answer:
3.46grams
Step-by-step explanation:
100coins = 346grams
1 coin = xgrams
then we cross multiply
346 = 100x
therefore x= 3.46grams
select the correct location on the table. Consider the following equations.f(x)=x^3+3x^2-x-6. g(x)= x^2-3x-2. Approximate the solution to the equation f(x)=g(x) using 3 iterations of successive approximation. Use the graph as a starting point. NO LINKS!!
Answer:
15/16
Step-by-step explanation:
For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.
Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.
The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__
Additional comment
The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.
As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.
Element X is a radioactive isotope such that every 18 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 40 grams, how long would it be until the mass of the sample reached 24 grams, to the nearest tenth of a year?
It would be 13.3 years till the mass of the sample reached 24 grams.
What is exponential decay of a substance?'A quantity is subject to exponentially decay if it decreases at a rate proportional to its current value.'
According to the given problem,
Let x be the number of years spent,
Initial mass = 40 grams
Final mass = 24 grams
Half-life = 18 years
⇒ 24 = 40 × [tex]0.5^{\frac{x}{18} }[/tex]
⇒ 24/40 = 0.5^[tex]\frac{x}{18}[/tex]
⇒ 3/5 = 0.5^[tex]\frac{x}{18}[/tex]
Taking ln on both sides,
⇒ ln (3/5) = [tex]\frac{x}{18}[/tex] ln 0.5
⇒ ln (3/5) / ln (0.5) = x/18
⇒ x = ( 18 × ln (3/5) ) / ln (0.5)
⇒ x = 13.3 years
Hence, we can conclude that the sample need s 13.3 years to decrease its mass from 40 grams to 24 grams.
Learn more about exponential decay here: https://brainly.com/question/27492127
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One number exceeds another by 5. The sum of the numbers is 25. What are the numbers?
The numbers are?
[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
The sum of two numbers is 25One number exceeds another by 5[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the two numbers.[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]
Let the number be x
Therefore,
Another number be x + 5
According to the question,
[tex]\sf{ x + ( x + 5 ) = 25}[/tex]
[tex]\sf{ x + x + 5 = 25}[/tex]
[tex]\sf{ 2x + 5 = 25}[/tex]
[tex]\sf{ 2x = 25 - 5}[/tex]
[tex]\sf{ 2x = 20 }[/tex]
[tex]\sf{ x = 20/2}[/tex]
[tex]\sf{ x = 10 }[/tex]
Thus, The first number is 10
Therefore,
Another number will be
[tex]\sf{ = x + 5 }[/tex]
[tex]\sf{ = 10 + 5 }[/tex]
[tex]\sf{ = 15 }[/tex]
[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]
Match the base to the corresponding height,
Step-by-step explanation:
hint base x height
or length x width
I need help solving this problem.
Answer:
30
Step-by-step explanation:
Let d represent the number of dozens of golf balls ordered. Then 12d is the number of balls.
The cost of the Light Hit balls will be (2.00)(12d). The cost of the Pro Sport balls will be (0.90)(12d). The difference in cost is ...
(2.00)(12d) -(0.90)(12d) = 396.00
1.10d = 33 . . . . . divide by 12, combine terms
d = 30 . . . . . . . divide by 1.10
30 dozen balls of each brand were ordered.
What is 9 ounces equal to in pounds?
Liz buys 5 bags of chips for $10.65. How much does she pay for each bag?
Answer:
she pays $2.13
Step-by-step explanation:
basic math i guess
brainliest please
Answer:
She pays $2.13 per each bag
Step-by-step explanation:
we know this because 10.65/5 (5 being the amount of bags she bought) and 10.65 being how much money she spent.) Divide the 2 (10.65 / 5) you get $2.13
NEED HELP AS SOON AS POSSIBLE! GIVING BRAINLIEST BECAUSE I NEED THIS REALLY SOON!!!!!! ~ thanks ~
Answer:
a) The temperature of the water at 5 p.m. would be below 0
b) The temperature of the water at 5 p.m. would be -2.5 *C
Step-by-step explanation:
A) Adding-10.6 and -8.7 would give you over 19, and this would be more than 16.8. Therefore, we can assume that 16.8- 19 is less than zero
B) -10.6+16.8-8.7=-2.5
When a number is decreased by 30 % of itself, the result is 14. What is the number?
Answer: 20
Step-by-step explanation:
We set up the equation.
Let the number = x
x-0.3*x = 14
0.7x = 14
x = 20
Show your work and write an expression using the following criteria:
Divide 3,600 by a multiple of 10
The quotient is also a multiple of 10
Step-by-step explanation:
1. We have to divide 4200 by a number which is a multiple of 10.
Let us assume that the number is 20, which is a multiple of 10.
Now, after division the quotient will be .
2. We have to check whether the quotient is multiple of 10 or not.
Here, the quotient is 210 which is a multiple of 10.
Hence, the required number which is a multiple of 10 is 20.
If each car is 16 centimeters long, what is the length of a 15-car train?
Answer:
yes, 240 cm is equal to 2.4 meters
Step-by-step explanation:
16cm times 15 cars is 240 cm. convert 240 cm to meters equals 2.4, so yes he has enough track for 15 cars on the train.
Answer:
240 cm
Step-by-step explanation:
multiply 16cm by 15 train cars to get 240 cm.
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GUYS PLS HELP ME WITH THIS SUPER HARD MATH PROBLEM
2+2
please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.
Answer:
[tex]\bigg(\frac{2}{3} {y} \bigg)^{2}[/tex]
STEP BY STEP EXPLANATION
[tex] \frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\ [/tex]
To make [tex] \red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}} [/tex] a perfect square we should add [tex]\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}[/tex]
Answer:
[tex]4/9y^2[/tex]Step-by-step explanation:
Given:
[tex](1/4)x^2-(2/3)xy[/tex]Consider the identity:
[tex](a - b)^2=a^2-2ab+b^2[/tex]We can see that:
[tex]a^2=(1/2x)^2[/tex][tex]a = (1/2)x[/tex][tex]2ab = (2/3)xy[/tex]We can work out the value of b:
[tex]2ab = (2/3)xy = 2(1/2x)(2/3y)[/tex][tex]b=(2/3)y[/tex]Then we are missing b², what needs to be added:
[tex]b^2=(2/3y)^2=4/9y^2[/tex]Hasan plans to choose a book from a section of the store where everything is 25% off
He writes the expression d - 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another expression, 0.75d, that will also find the sale price of the
book if the original price is d dollars.
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.
Answer:
750
Step-by-step explanation:
Given:
discount of 25%
Hasan's equation: d - 0.25d
Bella's equation: 0.75d
d represents the original price.
0.25d represents the discount.
0.75d represents the discounted price.
Example: 1,000 is the price. d = 1,000
0.25d = 0.25(1000) = 250 this is the discount
0.75d = 0.75(1000) = 750 this is the discounted price
Hassan: d - 0.25d = 1000 - 250 = 750
Bella: 0.75d = 0.75(1000) = 750
현 Which is the product of 7/9 and 6
[tex] \leadsto \sf \dfrac{7}{9} \times 6[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{7 \times 6}{9} [/tex]
[tex] \\ [/tex]
[tex] \leadsto \sf \dfrac{7 \times \cancel 6}{ \cancel9} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{7 \times 2}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf \dfrac{14}{3} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \textsf{ \textbf{4.67}}[/tex]
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