Answer:
12
Step-by-step explanation:
16 x3/4 is 48/4 or 48 divided by 4, or 12.
Erin is studying the area and population of different states. A. What is the difference in total area of Alaska and Connecticut? Express your answer in scientific notation. Show your work or explain your answer. B. What is the difference in total population of California and Alaska? Express your answer in scientific notation. Show your work or explain your answer.
Answer:
A. Total area of Alaska is considerable larger than total area of Connecticut.
B. Population of California is considerably larger that population of Alaska.
Step-by-step explanation:
A. What is the difference in total area of Alaska and Connecticut?
According to the US government, total areas of Alaska and Connecticut are 663,268 square miles ([tex]6.633\times 10^{5}[/tex] square miles) and 5,567 square miles ([tex]5.567\times 10^{3}[/tex] square miles), respectively.
The difference between both quantities is:
[tex]x = 6.633\times 10^{5}\,mi^{2}-5.567\times 10^{3}\,mi^{2}[/tex]
[tex]x = 6.577\times 10^{5}\,mi^{2}[/tex]
Which means that total area of Alaska is considerable larger than total area of Connecticut.
B. What is the difference in total population of California and Alaska?
According to the US government, total populations of California and Alaska are 39,512,223 people ([tex]3.951\times 10^{7}[/tex] people) and 710,249 people ([tex]7.103\times 10^{5}[/tex] people), respectively.
The difference between both quantities is:
[tex]x = 3.951\times 10^{7}\,people - 7.103\times 10^{5}\,people[/tex]
[tex]x = 3.880\times 10^{7}\,people[/tex]
Which means that population of California is considerably larger that population of Alaska.
In a café there are 5 different sandwiches, 4 different desserts and 6 different drinks. Two of the desserts are sugar-free and three of the drinks are sugar-free. A meal combination is selected at random work out the probability that both dessert and drink are sugar free
Answer:
the probability that both dessert and drink are sugar free = ¼
Step-by-step explanation:
We are told that there are 5 different sandwiches, 4 different desserts and 6 different drinks.
Now, since Two of the four desserts are sugar free, then the probability that the dessert chosen is sugar free is;
P(desert sugar free) = ½
Now, three of the the 6 drinks are sugar free, then the probability that the drink chosen is sugar free is;
P(drink sugar free) = 3/6 = ½
Thus, the probability that both dessert and drink are sugar free is;
P(both sugar free) = ½ × ½ = ¼
On Wednesday, a local hamburger shop sold a combined total of 339 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?
Answer:
113
Step-by-step explanation:
c/b(cheeseburger)-2x
h/b(hamburgers)-x
2x+x=339
3x=339(divide both sides by 3)
x=113
A 6 inch by 10 inch rectangle is dilated by a factor of 3. What is the area of the dilated rectangle?
Answer:1 is 60 and 2 is a k=2
Step-by-step explanation: correct me if I’m wrong
This diagram shows a park's walking path in the shaded area. The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters. What is the area of this walking path? Use 3.14 for π. Enter your answer as a decimal in the box. m²
Answer:
The answer is 24.78 m^2
Step-by-step explanation:
I did the test
The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for circumference of circle is 2πr
The area of circle is πr²
Area of large circle
Given:
circumference = 50.24 m
50.24 = 2 × 3.14 × r
r = 8 m
Therefore Area = 3.14 × 8²
= 200.96 m²
Area of small circle
Given circumference = 25.12 m
⇒ 25.12 = 2 × 3.14 × r
⇒ r = 4 m
Therefore Area = 3.14 × 4²
= 50.24 m²
Area of shaded path area = area of large circle - area of small circle
= 200.96 - 50.24
= 150.72 m²
Hence, the area of the walking path is 150.72 m²
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Explain why the product of 4 x 500 has three Os, not just two Os.
Answer:
because 4 is being multiplied by 500 which has two zeros because it is a multiple of 100
Step-by-step explanation:
Answer:
Because when you multiply 500 by 4 you start with the first 0. 4x0 is 0, now you move on to the second 0. 4x0 is 0, so that one is 0 too. Now you multiply the 5. 5x4 is 20. You put the 20 first, followed by the two 0s, And you get 2,000.
Step-by-step explanation:
Is 3/4 less then or greater than 1 whole
Answer:
less
Step-by-step explanation:
3/4 = 0.75
1/4 = 0.25
0.25*3 = 0.75
or
3/4 = 75%
1/4 = 25%
0.25*3 = 75%
Answer:
Less
Step-by-step explanation:
Fractions are proportions written using division. They are not whole numbers.
Proper Fractions
3/4 is less than 1 whole because it is a proper fraction. A proper fraction is a fraction that has a numerator that is smaller than the denominator. Remember that the numerator is the top number and the denominator is the bottom number. All proper fractions are less than 1. It is important to understand proper fractions in this question because improper fractions and mixed fractions are greater than 1.
This specific question asks about 3/4, which is 1/4 less than 1 whole.
F is directly proportional to a.
If F = 42 when a 7 find
a when F = 18
Answer:
a=3
Step-by-step explanation:
The formula for direct proportion is
f = ka
Let f= 42 and a = 7
42 = k*7
Divide each side by 7
42/7 = k7/7
6 =k
f = 6a
Let f = 18
18 = 6a
Divide each side by 6
18/6 = 6a/6
3 =a
Answer:
a = 3
Step-by-step explanation:
Given that F is directly proportional to a, then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 42 when a = 7, thus
42 = 7k ( divide both sides by 7 )
6 = k
F = 6a ← equation of proportion
When F = 18, then
18 = 6a ( divide both sides by 6 )
3 = a
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
to change a mixed number into an improper fraction
a [tex]\frac{b}{c}[/tex] = [tex]\frac{ac+b}{c}[/tex] , then
9 [tex]\frac{1}{3}[/tex]
= [tex]\frac{9(3)+1}{3}[/tex]
= [tex]\frac{27+1}{3}[/tex]
= [tex]\frac{28}{3}[/tex]
Answer:
we use the same program
Step-by-step explanation:
28/3 Is the answer!
(by the way you can use a simplify calculator
for most of the problems it gives you.)
Hopefully this helps you!
-Keira
Solve angle X to 1 dp
Answer:
x ≈ 57.8°
Step-by-step explanation:
using the Sine rule in the triangle
[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )
8 × sinx = 11 × sin38° ( divide both sides by 8 )
sinx = [tex]\frac{11sin38}{8}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )
A garbage bin can hold 50 gallons of waste. Complete the table to show what percent of the bin would be filled for different amounts of waste. Will get brainliest if answers first and gets it right.
The percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, a garbage bin can hold 50 gallons of waste.
Waste (gal) = 5
Percentage = 5/50 ×100
= 10%
Waste (gal) = 30
Percentage = 30/50 ×100
= 60%
Waste (gal) = 45
Percentage = 45/50 ×100
= 90%
Therefore, the percent of the bin would be filled for 30 gallons of amounts of waste is 60 percent.
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What’s x…………………,::::
Answer:
25
Step-by-step explanation:
The sum of all of the angles inside of a triangle is 180 degrees. That means we know that:
[tex](x+26)+(x+14)+(4x-10)=180[/tex]
We can then combine like terms:
[tex]6x+30=180[/tex]
We want to get 6x alone, so we can subtract 30 from both sides:
[tex]6x=150[/tex]
Then we want to get x alone, so we can divide both sides by 6:
[tex]x=25[/tex]
Now we know that x is 25.
What is the quotient of 8,688 ÷ 24?
Answer:
362
Step-by-step explanation:
What is -4/-2 simplified. Is it -2, or just 2?
Answer:
It's just 2
Step-by-step explanation:
When you divide a negative by a negative, it becomes positive
Given that
a
= 24° and
b
= 70°.
Work out
x
, explaining each stage of your working in the comment box.
Answer: 32 degrees
Step-by-step explanation:
Please help me.
Which statement is true regarding these data sets?
A. The range of the ages of the members of the Debate Team is greater than the range of the ages of the
members of the Chess Club.
B. The number of members in the Chess Club and the number of members in the Debate Team is the
same.
C. The majority of the members in each club are between 15 and 17 years old.
D. About 50% of the members of each club are 16 or older.
A. The range of the ages of the members of the Debate Team is greater than the range of the ages of the
members of the Chess Club.
A cone has a radius of 5.1 inches and a height of 5 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth
Answer:
136.19
Step-by-step explanation:
V=πr2h
3=π·5.12·5
3≈136.18804in³
Solve this equation. Enter your answer in the box.
–4(x – 26) = –200
Answer:
x = 76
Step-by-step explanation:
Distributive property:-4(x-26) = -4x + 104
Subtract 104 from both sides.-4x + 104 = -200
-4x = -304
Divide -4 from both sides.x = 76
The solution of the equation is x= 76.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given, equation –4(x – 26) = –200
–4(x – 26) = –200
-4x + 104 = -200
-4x = -200-104
-4x = -304
x = 304/4
x= 76
Therefore, the solution of the equation is x= 76.
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help..The temperature outside is -5 degrees and rises 15 degrees. what is the temperature now
Answer: 10 degrees
Step-by-step explanation:
-5+15=10
Please help asap! I on;y have 10 mins left!!!
Answer:
41 degrees
Step-by-step explanation:
Complementary angles add to 90 degrees
<3 + <4 = 90
<3 + 49 = 90
Subtract 49 from each side
<3 = 90-49
<3 =41
How do I divide fraction or mixed numbers.
AnTo divide mixed numbers Change each mixed number to an improper fraction.
Multiply by the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms.
Check to be sure the answer makes sense.
Step-by-step explanation:
Answer:
If u have mixed fractions, like [tex]3\frac{1}{2}[/tex], you will have to change it to improper fraction([tex]\frac{7}{2}[/tex]) to divide with ease.
let's give an example of how to divide fractions.
1. [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Now, you will invert the numbers on the right side, and that will cause the division sign to change into multiplication sign.
[tex]\frac{2}{3} / \frac{1}{3} \\\\\frac{2}{3} X \frac{3}{1}\\\\2[/tex]
2. let's have another example:
[tex]2\frac{1}{3} / 3\frac{1}{2}\\\\\frac{7}{3} / \frac{7}{2} \\\\\frac{7}{3} X \frac{2}{7} \\\\\frac{2}{3}[/tex]
Below.Does it matter the order in which the store applies the discount? In other words, is 70% off and then 20% off equal to 20% off and then 70% off? Give your answer and an explanation below. Make sure to show calculations to support your answer
Answer:
No it does not matter in which order the store applies the discount.
Step-by-step explanation:
Suppose we have the cost price = $ 100
Then 70 % off means 70% of 100= 70 $ discount
And the remaining $ 30 is again given a discount of 20 % . That would be 20 % of $ 30= $ 6 discount giving the discounted price of $ 24.
Now if we apply the discount of 20 % first that would give $ 80 discounted price and again applying 70 % to $ 80 would give $ 56 discount and a discounted price of $ 80 - $ 56= $ 24
Hence the order in which the discount is applied does not matter.
need answers don't know how to do any of them
Answer:
N + B + D = 90 sum of ages is 90 (I)
B = 2 D B is twice as old as D
N + 3 D = 90 using above equations
(N + 10) + 3 D = 100 add 10 to both sides
B + 3 D = 100 Brian is 10 yrs older than Nigel
2 D + 3 D = 100 Brian is twice the age of Dean
5 D = 100
D = 20 Dean's age
Brian = 2 D = 40 Brian's age
90 - 60 = 30 = Nigel's age
Check:
N + 10 = B = 30 + 10 = 40 = Brian's age
Solve: sin(11pi/2 +x) =-1/2 for [pi, 2pi]
Answer:
Step-by-step explanation:
Given the expression sin(11pi/2 +x) =-1/2
Take the arcsin of both sides
sin⁻¹[sin(11pi/2 +x)] =sin⁻¹(-1/2)
11pi/2 + x = -30
x = -pi/6 - 11pi/2
Find the LCM
x = (-pi-33pi)/6
x = -34pi/6
x = -17pi/3
Since x is negative and sin is negative in the fourth quadrant
x = - 17pi/2
x = -1530⁰+1440⁰ (scaling down the angle)
x = -90
x = 360 - 90 (fourth quadrant)
x = 270⁰
x = 270pi/180
x = 27pi/18
x = 3pi/2
Hence x the solution of x is 3pi/2
Answer:
B, 5pi/3
Step-by-step explanation:
edge 2020
A concession stand at a baseball game sells 3 apples for $2.00. HHow can you find the cost for 10 Apples?
A. Solve the proportion 3/2 = x/10
B. Solve the proportion 2/3 = 10/x
C. Solve the proportion 3/2 = 10/x
D. Solve the proportion 3/x = 2/10
Answer:
c. 3/2=10/x
Step-by-step explanation:
in a proportion, you want the same category of values in the same position. For example, the number of apples goes on top in each of the fractions, and the cost goes on the bottom. then solve for x.
HELP PLEASE
you dont need to explain anything
Answer:
yes
Step-by-step explanation:
also its a 45 degree angle
cuz 135-90+45
XD brainliest pls
Lincoln wants to sort 18 plums into bags so that each bag contains the
same number of plums.
He wants to end up with more than one bag of plums, and he wants each
bag to contain more than one plum.
Work out all the possibilities for the number of plums he could put into each
bag.
. An average car uses 1 ounces of
gasoline for one minute of sitting still
with the engine on. If a car waits at a
traffic light for 2 minutes, how much
gasoline will it use?
ANSWER:
2 ounces.
EXPLANATION:
it uses 1 once of gasoline every time it is on not driving and it is at a traffic light for 2 minutes then 1 + 1 = 2.
1 ounce + 1 ounce = 2 ounces of gasoline it uses.
Given f (x) = 2x + 3 and g(x) = x2 – 5x + 6, compute (fog)(x) =
Answer:
(fog)(x) = 2x² - 10x + 15
Step-by-step explanation:
(fog)(x) is called a composite function, where x in f(x) substituted by g(x).The range of g(x) is the domain of f(x)Let us solve our question
∵ f(x) = 2x + 3
∵ g(x) = x² - 5x + 6
→ We need to compute (fog)(x)
∴ Substitute x in f(x) by g(x)
∵ (fog)(x) = 2(x² - 5x + 6) + 3
→ Multiply the bracket by 2
∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)
∴ 2(x² - 5x + 6) = 2x² - 10x + 12
→ Substitute it in the composite function above
∴ (fog)(x) = 2x² - 10x + 12 + 3
→ Add the like terms 12 and 3
∴ (fog)(x) = 2x² - 10x + 15
find the area A of JKL with vertices J(-5,5) K(0,9) L(3,5)
Answer:
Now suppose that x1,y1 , x2,y2 , , xn,yn are the vertices of a polygon (with positive orientation). The area of the polygon is A 1 2 C xdy ydx 1 2 x1y2 x2y1 x2y3 x3y2 xny1 x1yn . The problem asks us to find the area of the pentagon with vertices 0,0 , 2,1 , 1,3 , 0,2 , and 1,1 .
Step-by-step explanation:
The area of the given triangle JKL is 16 units square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given vertices form a triangle in the coordinate plane ;
Base = 3 + 5 = 8 units
Height = 9 - 5 = 4 units.
Since the area of a triangle is given as (1/2) × base × height.
So,
Area = (1/2) × 8 × 4 = 16 unit square.
Hence "The area of the given triangle JKL is 16 units square".
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