19/50 of the baseball caps in the store are blue and on sale.
Let's say there are a total of 100 baseball caps in the store. Then, 2/3 of them are blue, which is:
2/3 x 100 = 66.67 (approximately 67)
So, there are approximately 67 blue baseball caps in the store. Out of these, 4/7 are on sale, which is:
4/7 x 67 = 38 (rounded to the nearest whole number)
Therefore, there are approximately 38 blue baseball caps that are on sale in the store.
The fraction of baseball caps in the store that are blue and on sale is:
38/100 = 19/50
So, 19/50 of the baseball caps in the store are blue and on sale.
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To find the fraction of baseball caps in the store that are blue and on sale, multiply the fractions representing the proportion of blue caps and the proportion of blue caps that are on sale.
Explanation:To find the fraction of baseball caps in the store that are blue and on sale, we need to multiply the fractions representing the proportion of blue caps and the proportion of blue caps that are on sale.
Given that 2/3 of the caps are blue and 4/7 of the blue caps are on sale, we can calculate the fraction of blue caps that are on sale by multiplying 2/3 and 4/7:
2/3 * 4/7 = 8/21
Therefore, 8/21 of the baseball caps in the store are blue and on sale.
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Sarah, a self employed blogger, has adjusted gross earnings of $45,162 this year. Find the amount of social security and Medicare taxes paid by Sarah
Answer:
Social Security = 5600.09, Medicare = 1309.70
Step-by-step explanation:
in a laboratory under favorable conditions, a bacteria population grows at an exponential rate. the number of cells C in the population is modeled by the function C(t)=ab^t. where a and b are constants and t is measured in hours. which function can be used to find the number of cells in the population at the time?
t: 0,1
C(t): 8,24
The which function can be used to find the number of cells {C} in the population at the time {t} is given by C{n} = 8(3)ⁿ.
What is exponential function?Exponential function →
An exponential equation is given by - y = f{x} = A(B)ˣ.
Given is a bacteria population grows at an exponential rate. the number of cells [C] in the population is modeled by the function : C(t) = [tex]$a(b)^{t}[/tex].
Let t = n. We can write -
C = a(b)ⁿ
For {n} = 0, {C} = 8. So, we can write -
8 = a(b)⁰
a = 8
and
For {n} = 1, {C} = 24. So, we can write -
24 = a(b)
b = 24/8
b = 3
So, we can write the exponential equation as -
C{n} = 8(3)ⁿ
Therefore, the which function can be used to find the number of cells {C} in the population at the time {t} is given by C{n} = 8(3)ⁿ.
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Jasmine traveled 4 miles in 15 minutes on her bike. She went at the same speed for another hour. How far had she traveled during the entire hour and 15 minutes?
Answer:
20 miles
Step-by-step explanation:
She traveled 4 miles in 15 minutes.
She went at the same speed for another hour.
1 hour is 60 minutes.
60 = 4 * 15
There are 4 15-minute periods in an hour.
Since she went 4 miles in 15 minutes, she went 4 * 4 miles in 1 hour.
4 * 4 miles = 16 miles.
She went 4 miles in 15 minutes and another 16 miles in an hour.
The total distance she traveled is 4 miles + 16 miles = 20 miles.
Answer: 20 miles
What is the surface area of the sphere below?
Answer:
The correct answer is option B. 100π units²
Step-by-step explanation:
Formula:-
The surface area of a sphere = 4πr²
Where r is the radius of sphere
To find the surface area of given sphere
Here r = 5 units
Surface area = 4πr²
= 4 * π * 5²
= 4 * π * 25 = 100π units²
Therefore the correct answer is option B. 100π units²
Question :-
What is the surface area of the sphere that has a radius of 5 units?Answer :-
The surface area of the sphere is 100π units². Thus, the 2nd option, B makes it as the correct answer.[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{5 \: units}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the radius of the sphere is 5 units. We have been asked to find or calculate the surface area of the sphere.
To calculate the surface area of the sphere, we will apply the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area :-
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times \: (5 \: units)^2[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = (5 \: units)^2 \times 4 \times \pi[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 25 \: units^2 \times 4 \times \pi[/tex]
[tex]\sf:\implies Surface \: Area_{(Sphere)} = 100 \: units^2 \times \pi[/tex]
[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 100\pi \: units^2}[/tex]
Therefore :-
The surface area of the sphere is 100π units². Thus, the 2nd option, B makes it as the correct answer.[tex]\\[/tex]
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Have a great day! <33
Find the first five terms of the described
sequence: Start with 6 and add 7 repeatedly.
State whether the sequence is arithmetic,
geometric, both, or neither.
Answer:
6, 13, 20, 27, 34
arithmetic sequence
Step-by-step explanation:
"Start with 6" means the first term is 6.
"Add 7 repeatedly" means each term is formed by adding 7 to the one before it:
6 +7 = 13
13 +7 = 20
20 +7 = 27
27 +7 = 34
So, the first 5 terms are ...
6, 13, 20, 27, 34
_____
Any sequence in which terms have a common difference is an *arithmetic* sequence. You know these terms have a common difference of 7, because that's the number you added to each term to get to the next term. 13-6 = 7; 20-13 = 7; 27-20 = 7; and so on.
What is the volume of the square pyramid with the base edges 24 ft and height
Please help ASAP!!!!
Answer:
A
Step-by-step explanation:
The volume of a pyramid is one third the height times the area of the base.
V = ⅓ h A
The base is a square, so the area is the width times length.
V = ⅓ h wl
Problem is, we don't know the height, only the slant length. But we can use this to find the height.
If we cut a cross section down the middle of the pyramid, we get an isosceles triangle. The base of the triangle is 24, and the legs are 37.
If we cut this triangle in half, we get two right triangles. Each right triangle has a base of 12 and a hypotenuse of 37.
Now we can use Pythagorean theorem to find the height of the triangle, which is also the height of the pyramid.
c² = a² + b²
37² = 12² + h²
h = 35
Now we can find the volume. h = 35, w = 24, and l = 24:
V = ⅓ h wl
V = ⅓ (35) (24) (24)
V = 6720
So the volume is 6720 ft³, or answer A.
Which correctly completes this number sentence?
3 × 9 = (3 × 5) + __________
A)(5 × 9)
B)(3 × 4)
C)18
D)(9 - 5)
The answer is B
3x4=12
3x5=15
9x3= 27
B) 3x9= (3x5) + (3x4)
Which of the following infinite series has a finite sum? Explain your reasoning.
a. 1.5+3+6+12+...
b. 2+8+32+128+...
c. 4+4.2+4.4+4.6+...
d. 20+10+5+2.5+...
Answer:
d. 20+10+5+2.5+...
Step-by-step explanation:
No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.
Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)
Which function pass through the points (1, 4), (2, 9), and (3, 16)?
y = (x + 1)2
y = (x + 3)2
y = 7x - 5
ANSWER
[tex]y= {(x+ 1)}^{2}[/tex]
EXPLANATION
The given points are:
(1, 4), (2, 9), and (3, 16)
It is obvious that the function is not linear because there is no constant difference among the y-values.
We can however manipulate the y-values to quickly identify the function.
[tex]4 = {2}^{2} = {(1 + 1)}^{2} [/tex]
[tex]9= {3}^{2} = {(2 + 1)}^{2} [/tex]
[tex]16= {4}^{2} = {(3 + 1)}^{2} [/tex]
We can infer from the pattern that, the function is;
[tex]y= {(x+ 1)}^{2} [/tex]
Help!
Assume that lines that appear tangent are tangent. Find the value of each variable.
since the angle of the arc is equal to 68° therefore angle b which is a central angle is ganna be equal to 68° which is the central angle while angle a is 34° which is an inscribed angle and inscribed angles are equal to half the subtended arc
A sphere has a volume and surface area which have equal numerical values. Calculate the radius of the sphere for which this is true. Verify that your answer is correct by then calculating both the volume and surface area.
The formula for the volume of a sphere is:
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
The formula for the surface area of a sphere is:
[tex]a = 4\pi {r}^{2} [/tex]
Since they have equal numerical values, we know that the two are equal and we can say:
[tex] \frac{4}{3} \pi {r}^{3} = 4\pi {r}^{2} [/tex]
Solving for r, pi cancels out and we get:
[tex]r = 3[/tex]
Now plug r = 3 into both of the formulas to make sure that they are equal (hint: they are)
Answer: r = 3
Molly and Arthur are taking their daughter Ginny on a roller coaster ride. For safety, they need to find their total weight before getting into the same car. Molly's weight is MMM kilograms, Arthur's weight is AAA kilograms, and Ginny's weight is GGG kilograms.
Answer:
mmm+aaa+ggg=thier total weight
Step-by-step explanation:
his added to hers added to the kid is the total weighti of the three
is there something you forgot to include?
Answer:
This is the real answer I got it right
Step-by-step explanation:
from top to bottom
a
g+m
g
m+a
your welcome
There are 400 rice weevils at the beginning of an insect study. The population is expected to grow at a rate of 150% each week.
a.) Write and simplify a formula that can be used to predict the rice weevil population for any week after the beginning of the study.
b.) Use the formula to predict the rice weevil population 10 weeks after the beginning of the study. Show your work.
c.) Use the formula to predict when the rice weevil population will reach 1,000,000,000. Show your work.
Answer:
Part a) [tex]y=400(2.5)^{x}[/tex]
Part b) [tex]3,814,697\ rice\ weevil\ population[/tex]
Part c) [tex]16.1\ weeks[/tex]
Step-by-step explanation:
Part a) Write and simplify a formula that can be used to predict the rice weevil population for any week after the beginning of the study
we know that
100%+150%=250%=250/100=2.5
In this problem we have an exponential function of the form
[tex]y=a(b)^{x}[/tex]
where
a is the initial value
b is the base
y ----> is the rice weevil population
x ----> the number of weeks
In this problem
a=400 rice weevils
b=2.5
substitute
[tex]y=400(2.5)^{x}[/tex]
Part b) Use the formula to predict the rice weevil population 10 weeks after the beginning of the study. Show your work
we have
[tex]y=400(2.5)^{x}[/tex]
so
For x=10 weeks
substitute
[tex]y=400(2.5)^{10}=3,814,697\ rice\ weevil\ population[/tex]
Part c) Use the formula to predict when the rice weevil population will reach 1,000,000,000.
we have
[tex]y=400(2.5)^{x}[/tex]
so
For y=1,000,000,000 rice weevil population
substitute in the formula and solve for x
[tex]1,000,000,000=400(2.5)^{x}[/tex]
Simplify
[tex]2,500,000=(2.5)^{x}[/tex]
Apply log both sides
[tex]log(2,500,000)=x*log(2.5)[/tex]
[tex]x=log(2,500,000)/log(2.5)=16.1\ weeks[/tex]
A function assigns the values. The number of weeks it will take for the population of 400 to be 1,000,000,000 is 16.1 weeks.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) Given there are 400 rice weevils at the beginning. And the population is expected to grow at a rate of 150% each week. Therefore, the function that can represent the population can be written as,
Population after n weeks = 400×(1+1.5)ⁿ = 400×(2.5)ⁿ
where n is the number of weeks.
B.) The population of the rice weevils after 10 weeks will be,
Population after 10 weeks = 400×(2.5)¹⁰ = 3,814,697.266 ≈ 3,814,697
C.) The time needed for the population to reach 1,000,000,000 will be,
1,000,000,000 = 400(2.5)ⁿ
2,500,000 = 2.5ⁿ
n = 16.0776 ≈ 16.1 weeks
Hence, the number of weeks it will take for the population of 400 to be 1,000,000,000 is 16.1 weeks.
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Which of the following statements about taxes is false?
Three taxes are deducted from your paycheck: federal income tax, state income tax (if applicable) and FICA.
Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed.
The primary taxes on consumption are sales tax and excise tax.
Taxes on wealth and property include property tax, taxes on inheritance, estate taxes and gift taxes.
Answer:
Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed.
Step-by-step explanation:
portfolio income refers to income generated by selling an investment tool at a higher price than that which was paid for. As such it is taxable which makes the statement;
Not all types of income are taxed; while earned income and passive income are taxed, portfolio income is not taxed, False
The following statements about taxes are True;
Three taxes are deducted from your paycheck: federal income tax, state income tax (if applicable) and FICA.
The primary taxes on consumption are sales tax and excise tax.
Taxes on wealth and property include property tax, taxes on inheritance, estate taxes and gift taxes.
Answer:
Not all types of income are taxed
Step-by-step explanation:
Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is A ?
Answer:
The approximate probability that the first letter chosen is A = 0.0385....
Step-by-step explanation:
The given statement is two unique letters are chosen at random from the alphabet.
The total number of ways that the two letters would be chosen from alphabets = 650
26*25 = 650
For the first draw there are 26 letters but for the second draw there are only 25 letters left thats why we have multiplied 26 by 25.
The number of ways letters are chosen such that the first one is A, is
1*25 = 25
Thus the probability that the first letter chosen is A:
P(A)25/650 = 0.03846
By rounding off it becomes 0.0385.
Thus the approximate probability that the first letter chosen is A = 0.0385....
Answer: A. 0.0385
Step-by-step explanation:
Edg 2021
determine value of a
For this case we have that by definition of trigonometric relations that the sine of an angle is equal to the opposite leg to the angle on the hypotenuse. That is to say:
[tex]Sin (43) = \frac {a} {26}[/tex]
Clearing the value of "a":
[tex]a = 26 * sin (43)\\a = 26 * 0.68199836\\a = 17.73195736[/tex]
Rounding off we have:
17.7
Answer:
Option B
X/7=4 What number must be multiplied on both sides in order to isolate x on the left side of the equation
Answer: 7
Step-by-step explanation:
To undo the division you multiply. (:
from a hot air balloon 2500 feet above the ground you see it a clearing whose angle of depression is 25 degrees.To the nearest foot, find your horizontal distance from the clearing
Check the picture below.
make sure your calculator is in Degree mode.
The trigonometric concept of tangent can be applied to solve this problem. The tangent of the angle of depression, which is 25 degrees, equals the vertical height (2500 feet) divided by the horizontal distance. Solving for the horizontal distance, we get approximately 5166 feet.
Explanation:The subject of the question is a common application of trigonometry, specifically the use of tangent. In this scenario, we are dealing with a right triangle where the angle of depression and the height are given, and we want to find the horizontal distance. We start by realising that the angle of depression from the balloon to the clearing is the same as the angle of elevation from the clearing to the balloon. Hence, we can use the tangent of the angle, which is opposite over adjacent, or in this context, height over horizontal distance. So, if tan(25 degrees) = 2500/horizontal distance, then the horizontal distance = 2500/tan(25). Solving this gives us approximately 5166 feet, to the nearest foot.
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Select the correct answer.
Which angle measure less than or equal to 360° is equivalent to an angle of ?
Answer:
Can I have the options? Then I would be glad to answer
Step-by-step explanation:
Answer:
The awnser for plato users is 45 degrees. which is (A)
Step-by-step explanation:
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B). P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.
Answer:
P(Male or Type B) > P(Male | Type B)
Step-by-step explanation:
Total Female = 85 type A, 12 type B ⇒ 97 Female.
Total Male = 65 type A, 38 type B ⇒ 103 Male
Total type A = 65 + 85 = 150
Total type B = 12 + 38 = 50
total number of people = 97 + 103 = 200
Then the probability would be:
P(Male | Type B) = [tex]\frac{number of male in B}{total number of male}[/tex]
= [tex]\frac{38}{103}[/tex]
= 0.368
P(Male or Type B) = [tex]\frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}[/tex]
= [tex]\frac{103 + (50 - 38)}{200}[/tex]
= [tex]\frac{103 + 12}{200}[/tex]
= [tex]\frac{115}{200}[/tex]
= 0.575
Hence, P(Male or Type B) > P(Male | Type B)
You mow the lawn to earn your allowance. Each time you mow the lawn you earn $12. Write an equation for the number of dollars, d, you earn when you mow the lawn m times. How many dollars will you earn if you mow the lawn 10 times?
Answer:
Equation: D=12m Answer: $120
Step-by-step explanation:
Since D equals earnings it would be the total.
Since M equals lawns mowed it would be the number you did.
So 10=M
12(10)=120
PLEASE HELP ASAP 30 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
[tex]x^{13}-2x^{12}-x^{11}+2x^{10}=0\\\\x^{10}\cdot\Big[x^3-2x^2-x+2\Big]=0\\\\x^{10}\cdot\Big[x^2\cdot(x-2)-(x-2)\Big]=0\\\\x^{10}(x-2)(x^2-1)=0\\\\\boxed{x^{10}(x-2)(x+1)(x-1)=0}[/tex]
So:
x = 0 with multiplicity 10 or
x = 2 or
x = 1 or
x = -1
Answer D)
Please help me with this
Answer:
192.5 ft²
Step-by-step explanation:
The large sector of the circle has a central angle measure of 360° -100° = 260°, so its area will be (260°/360°) of the circle, or ...
large sector area = (260/360)πr² = 13π/18·(8.35 ft)² ≈ 158.195 ft²
The area of the 100° triangle is ...
triangle area = (1/2)r²·sin(100°) = (1/2)(8.35 ft)²·sin(100°) ≈ 34.332 ft²
Then the shaded area is ...
shaded area = large sector area + triangle area
= 158.195 ft² +34.332 ft² ≈ 192.5 ft²
The shaded area is about 192.5 square feet.
A sphere has a radius of 15 m. If the radius is divided by 5, what is the effect on the surface area? HELP PLEASE!!
i got 3 and the teacher said it was right
Answer:
The surface area is divided by 25.
Step-by-step explanation:
The radius of a sphere is given as 15 m.
To obtain the surface area of the original sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.
S=4π(15)2=(4)(225)π=900π
The surface area of the original sphere is 900π m2.
To find the radius of the new sphere divide the radius of the original sphere by 5.
r=155=3
The radius of the new sphere is 3 m.
To obtain the surface area of the new sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.
S=4π(3)2=(4)(9)π=36π
The surface area is 36π m2.
Notice that 900π=25(36π). The surface area of the second sphere is 52=25 times less than the original surface area. The surface area of a sphere changes by the square of the factor that the radius changes.
Therefore, the surface area is divided by 25.
The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5 6 cm. What is the volume of the prism?
Answer:
138 cm³
Step-by-step explanation:
Given in the question that base of the rectangular prism = 36 cm²
Height of the prism = 3 5/6 cm = 23/6
We know that the volume of a rectangular prism with base area B and height H is given by
Volume = B(H)Plug values in the formula above to find the volume of the prism
Volume = 36(23/6)
= 6(23)
= 138 cm³
So the volume of prism = 138 cm³
Answer:
108 cm³, 138 cm³, 180 cm³, 216 cm³
Step-by-step explanation:
I'm not if you meant to calculate three possible volumes for the prism, for heights of 3, 5 and 6 cm or if it was meant as 3 5/6... so I prepared you all the answers below.
Normally, the volume of a prism is calculated with Length x Width x Height. The (Length x Width) part is form the base of the prism. Since we already have that base measurement, we'll use the formula: Base x Height
So, if you meant 3 different calculations (for heights 3, 5 and 6 cm):
V = Base x Height
For a height of 3 cm, we have: V = 36 x 3 = 108 cm³
For a height of 5 cm, we have: V = 36 x 5 = 180 cm³
For a height of 6 cm, we have: V = 36 x 6 = 216 cm³
If however, you meant a single measure with 3 5/6:
For a height of 3 5/6 cm (23/6), we have: V = 36 x 23/6 = 6 * 23= 138 cm³
40 POINTS PLEASE HURRY
The recipe for a batch of applesauce uses 2 1/2 pounds of apples. If Michael wants to make 3/4 of a batch of applesauce, how many pounds of apples will he need?
A. 3/10 of a pound
B. 8/15 of a pound
C. 1 7/8 of a pound
D.3 1/3 of a pound
Answer:
C. 1 7/8 of a pound
Step-by-step explanation:
We can use a ratio to solve
2 1/2 pounds x pounds
------------------ = ---------------
1 batch 3/4 batch
Change to improper fractions
2 1/2 = (2*2+1)/2 = 5/2
5/2 pounds x pounds
------------------ = ---------------
1 batch 3/4 batch
Using cross products
5/2 * 3/4 = 1*x
15/8 = x
Changing from an improper fraction to a mixed number
8 goes into 15 1 time with 7 left over
15/8 = 1 7/8
Answer:
1 7/8
Step-by-step explanation:
Which expression is equivalent to (n*m*p)(x), given m(x) = sinx, n(x) = 3x, and p(x) = x^2
a. sin(3x)^2
b. 3sinx^2
c. sin^2(3x)
d. 3sin^2 x
The right answer is b.I hope it helps
Please help me out please
Answer:
z = 99°
Step-by-step explanation:
y = 0.5 × 96° = 48° ( inscribed angle subtended on same arc )
x = 0.5 × 66° = 33° ( inscribed angle subtended on same arc )
The sum of the 3 angles in the triangle = 180°, hence
third angle = 180° - (48 + 33)° = 180° - 81° = 99°
z = 99° ( vertical angle )
Check
96° + 99° + 66° + 99° = 360°
What is the following product? ( sqrt 12+ sqrt 6)(sqrt 6- sqrt 10)
Answer:
Option A.
Step-by-step explanation:
The given expression is
[tex](\sqrt{12}+\sqrt{6})(\sqrt{6}-\sqrt{10})[/tex]
We need to find the product.
Using distributive property we get
[tex]\sqrt{12}(\sqrt{6}-\sqrt{10})+\sqrt{6}(\sqrt{6}-\sqrt{10})[/tex]
[tex]\sqrt{12}(\sqrt{6})+\sqrt{12}(-\sqrt{10})+\sqrt{6}(\sqrt{6})+\sqrt{6}(-\sqrt{10})[/tex]
Using the properties of radical expressions we get
[tex]\sqrt{12\cdot 6}-\sqrt{12\cdot 10}+\sqrt{6\cdot 6}-\sqrt{6\cdot 10}[/tex] [tex][\because \sqrt a\sqrt b=\sqrt{ab}][/tex]
[tex]\sqrt{72}-\sqrt{120}+\sqrt{36}-\sqrt{60}[/tex]
On further simplification we get
[tex]6\sqrt{2}-2\sqrt{30}+6-2\sqrt{15}[/tex]
Therefore, the correct option is A.
If twice a number is subtracted from 11, the result is 4 more than the number. What is the number?
2
73
7
11
Let the number = x.
So 2 times x subtracted from 11 is written as 11-2x
The result is 4 more than the number is written as 4 +x
Now you have 11-2x = 4 + x
We can now solve for x.
Add 2x to each side:
11 = 4 + 3x
Subtract 4 from each side:
7 = 3x
Divide both sides by 3:
x = 7/3