[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Using identity :
[tex] {(a + b)}^{2} = {a}^{2} + b {}^{2} + 2ab[/tex][tex]( \sqrt{5 }{+ \sqrt{2{}^{} } } ) {}^{2} [/tex][tex]( \sqrt{5} ) {}^{2} + ( \sqrt{2} ) {}^{2} + 2( \sqrt{5} )( \sqrt{2} )[/tex][tex]5 + 2 + 2 \sqrt{10} [/tex][tex]7 + 2 \sqrt{10} [/tex]therefore, the correct choice is :
[tex] \mathrm{C.) \: \: 7 + 2 \sqrt{10} }[/tex][tex]( \sqrt{5} + \sqrt{2} {)}^{2} \\ [/tex]
[tex]by \: \: \: using \: \: \: the \: \: \: formula \: \: (a + b) ^{2} = {a}^{2} + 2ab \: + {b}^{2} \: \: we \: \: \: get \\ ( \sqrt{5} {)}^{2} + 2( \sqrt{5}) \: (\sqrt{{2)}} + ( \sqrt{2) }^{2} \\ = \sqrt{5} \times \sqrt{5} + 2 \sqrt{5 \times 2} + \sqrt{2} \times \sqrt{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} [/tex][/tex]
Answer:(C) 7+2√10
(PLEASE SOMEONE HELP)
James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need?
Answer:
The number of cartons of concentrated orange juice she needs in 4.5 gallons of orange juice is 12 cartons of orange juice
Step-by-step explanation:
The given parameters are;
The volume of the concentrated orange juice = 12 fluid ounce cartons
The ratio of orange juice concentrate to water = 12 fluid ounces to 36 fluid ounces
The amount of orange juice James need = 4.5 gallons = 576 fluid ounces
Therefore;
The ratio of orange juice concentrate to water is 12:36
Therefore;
Let 'x' represent the amount of concentrated orange juice in 4.5 gallons of orange juice, and let 'y' represent the amount of water in the 4.5 gallons of orange juice, we have;
x + y = 4.5 (gallons)...(1)
x:y = 12:36 = 1:3
∴ x/y = 1/3
3·x = y...(2)
From equation (1) and equation (2), we have;
x + y = 4.5
x + 3·x = 4.5
x = 4.5/4 = 1.125
x = 1.125
The amount of concentrated orange juice in 4.5 gallons of orange juice, x = 1.125 gallons
∴ y = 3 × x = 3 × 1.125 = 3.375
y = 3.375
The amount of water in the 4.5 gallons of orange juice, y = 3.375
Therefore, we have;
4.5 gallons = 576 fluid ounces
∴ 1.125 gallons = (576/4.5) × 1.125 = 144 fluid ounces
The amount of fluid ounces per carton = 12 fluidounces/carton
∴ The number of cartons in 144 fluid ounces = 144 fluidounces ÷ 12 fluidounces/carton = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons
The amount of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice
The amount (number of cartons) of concentrated orange juice she needs in 4.5 gallons of orange juice, x = 12 cartons of orange juice.
15% off an annual subscription of 86$.How much will the customer save.
Answer:
$12.90/ 12.9
Step-by-step explanation:
divide 15 % by 86
Which of the following expression represents the area of the circle?
O 2π(x+2)
O π(x+2)^2
O π(2x+4)^2
O 2π(2x+4)
Answer:
π(x+2)^2
Step-by-step explanation:
The formula for the area of a circle is π*radius squared.
2x + 4 is the length across the entire circle, which would make it the diameter.
The radius is half the diameter.
So, to find out the radius, simply divide the diameter by 2.
2x+4/2
x+2
Now, plug the newly found radius into the formula.
Area=π*(x+2)^2
A rectangular prism measures 8 inches in width,12 inches in length and 4 inches in height.What is the surface area of the prism? Enter your answer In the box.
Answer:
352
Step-by-step explanation:
A = 2(wl+hl+hw) = 2(8 · 12 + 4 · 12 + 4 · 8) = 352
Which equation represents the line that is perpendicular to y=1/6 & passes through (-8,-2)?
a) y = -6
b) y = -8
c) x = -8
d) x = -2
Answer:
x = -8
Step-by-step explanation:
slope of y = 1/6 is zero
the negative reciprocal of zero is considered to be 'undefined', which is the slope of x=-8 (or x = 'any number')
luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cup of juice to mags. how much is left in lunas glass
Answer:4/8 or simplified answer 1/2
Step-by-step explanation:
3/4 + 3/8, first you have to find the highest common factor of 4 and 8.
The answer is 9. The denominator of both side will be 8. Now you ask yourself 4 times what gives you 8 and times the numerator by that number. And do the same for the 8.
6/8 + 3/8= 9/8
9/8 - 5/8= 4/8
The simplified answer is 1/2
PLEASE HELP!! Aprivate College runs a 3-semester school-year schedule. The college charges $9 308 per semester for tuition and room and board How much would it cost to
attend this college for 4 years?
A $111 696
B537232
CS121 848
DS27 924
how many 20 dollar bills and 50 dollar bills
linked picture
Answer:
3 $50's and 12 $20's
Step-by-step explanation:
I believe this is the correct answer, good luck
Answer:
8.9 billion in 20dollar and 1.7 billion in 50 dollar
A triangle has two sides of length 14 cm and 21 cm. Which of the following could represent the length of the third side of the triangle? Select all that apply. 5 cm 15 cm 25 cm O 35 cm 45 cm
Answer:
im doing the quiz rn, and im pretty sure its only 5cm
Step-by-step explanation:
because 5 cm is the only one that is smaller than the combination 14 + 5<21
and thats technichly what you looking for cuz 14+ 15>21
HELPP ME PLEASE!!!!
don’t answer just for points or i’ll report you.
Answer:
8.3
Step-by-step explanation:
8.3 - 8.3 = 0
Answer:
8.3+(-8.3) would equal 0 so the answer should be 8.3
PLEASE TELL ME ILL GIVE YOU BRAINLIEST:))
Answer:
0.5
Step-by-step explanation:
How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
When we add them, it's 2.5.
Now we divide.
Answer:
0.5
Step-by-step explanation:
2+(-2.5)+(-1)+0+4 =2.5
2.5/5 = 0.5
what foes the graph of profits as a function of the number of hats sold look like?
Similar Triangles? (yes or no)
by which criteria? (AA- SAS-, SSS- or not enough info)
Answer:
Yes but not in size and not enough info
Step-by-step explanation:
Hope it helps
Please brainliest
If 25 cents are the same as 1/4; how many 1/4 are in $10?
Answer:
40
Step-by-step explanation:
Answer:
There would be 40 sets of 1/4 in $10.
Step-by-step explanation:
This is because when you divide 10 by 0.25 (1/4) it is equal to 40.
You can also think of 4 times 10 since 4 1/4s(.25 cents) are equal to a dollar.
Hope that makes sense :)
for brainiest:):):):):):):):)
Answer:
3. 6 ft
4. 60 ft
5. 0.2 m
6.24 in
Step-by-step explanation:
Can you explain how the answer to this question is 8 plz!! Thank chu What percent of 2.5 is 0.2. Please helllllp. My whole family is trying to figure out this darn problem! I promise to give the best answer brainliest!
Answer:
3.9
Step-by-step explanation:
i need more detale """))
Answer:
0.2 is 8% of 2.5
Step-by-step explanation:
question: what percent of 2.5 is 0.2
paraphrased: 0.2 is what fraction of 2.5 (then convert to percent)
make into fraction
0.2/2.5
=2/25
therefore 0.2 is 2/25ths of 2.5 !
to convert to percentage, make the denominator /100
2/25
multiply by 4 both sides
= 8/100
8 out of 100 is 8%
=8%
hope this helps !
How do you do the Pythagorean Theorem? Also how do you do it with one leg and hypotenuse? Also how do you do it with 2 legs and no hypotenuse?
Answer:
Pythagorean Theorem = a^2 + b^2= c^2
Step-by-step explanation:
(3)^2+ (4)^2 = C
3^2= 9
4^2= 16
9+16=25
(2 legs no hypotenuse)
9^2+ b^2=7^2
9^2 = 81
7^2= 49
81-49= 32
(you have to sqaure root it because the oppsite of sqaured is sqaured root)
32 squared = 5.657
and rounded is 5.7
To meet your goal for selling raffle tickets, you must meet the inequality t ≥ 15. If you sold 16 tickets, did you reach your goal?
Yes or No
What is the area of a rectangular pool with dimensions of 12 feet by 9.5 feet? Show all of your steps and work.
Answer:
If referring to surface area, it would be equal to 114 ft²
Step-by-step explanation:
Area = BH or LW
Multiply the two dimensions given
12 * 9.5 = 114
114 square feet
A line that passes through the point (-3,-6) has a slope of 4/3. What is another point on this line
Answer:
3,3
Step-by-step explanation:
Which of the following is equivalent to x 3/7
[tex]a^{\frac{m}{n}} =\sqrt[n]{a^m}[/tex]
so the answer will be b [tex]\sqrt[7]{x^3}[/tex]
hope this helps :)
What is the volume of this pyramid?
Answer:
150 cm
Step-by-step explanation:
It's 150 cm because if you multiply L x W x H, you will get your answer. So it would be 6 x 5 x 5 = 150.
8x-10=x^2+5 solve using quadratic
Answer:
x=5,3
Step-by-step explanation:
HELP ME!!! What are the three different ways you can write a ratio?
Answer:
A fraction, colon, words
PLEASE HELP ME!!!!!!
For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)
Answer:
Step-by-step explanation:
4x + 1
The quotient (f/g)(x) is (f/g)(x) = ---------------
x^2 - 5
Note that x^2 means "square of x," whereas "x2" is ambiguous.
If apples are 6 for $2.70, how much is one apple?
Answer:
0.45
Step-by-step explanation:
2.70 / 6 = 0.45
Answer:
1 apple is 2.2
Step-by-step explanation:
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
1. b & d
2. d
Step-by-step explanation:
no fractions, decimals can be in a standard form equation
James if four times as old as Lucy.If x represent Lucy's age, how would you represent James age
Answer:
X4
Step-by-step explanation:
The worlds heaviest lobster weighted 44 pounds 6 ounces. What is the lobsters weight in ounces. Explain your thinking
Answer:710
Step-by-step explanation: