Answer:
Step-by-step explanation:
Hello,
The circumference of the cake is 25(1/7), but we don't know the area of the cake.
Assuming the cake has a shape of a circle,
Circumference of a circle = 2πr
Where r = radius of the circle.
Area of a circle = πr²
But π = 22 / 7
We have to first find the value of r.
2πr = 25(1/7)
2×(22/7)×r = 25(1/7)
(44/7)r = 176 / 7
(44 × 7)r = 176 × 7
44r = 176
r = 176 / 44
r = 4 inches
Area of the circle = πr²
A = (22 / 7) × 4²
A = 22 / 7 × 16
A = 352 / 16
A = 22 (inches)²
The area of the cake is 22in²
A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay is sold by one pound increments only and costs $4.59 per pound. How much would it cost to buy enough clay to make 8 complete hemisphere stones?
Answer:
$137.82
Step-by-step explanation:
The volume of a hemisphere stone is given by the volume of a half-sphere:
Volume = (2/3) * pi * radius^3
If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:
Volume = (2/3) * pi * 8^3 = 1072.33 in3
We need a total of 8 stones, so the total volume is:
Total Volume = 8 * 1072.33 = 8578.64 in3
The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:
Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds
Finally, if the price of each pound of clay if $4,59, the final price is:
Price = 30.0252 * 4.59 = $137.82
Please answer correctly !!!!!!!!!! Will mark brianliest !!!!!!!!!
Answer:5 milllion
And the minimum is 25
Step-by-step explanation:
Which of the following is the correct first step to solve 5x^2 - 20x = -15 by completing the square? 1. Add 100 to both sides. 2. Divide all terms by 5. 3. Divide all terms by -5. 4. Add 15 to both sides.
Answer:
3. Divide all terms by 5Step-by-step explanation:
given any quadratic equation ([tex]5x^2 - 20x = -15[/tex])
the steps to follow accordingly are
make the coefficient of the [tex]x^2[/tex] term to be 1 (divide all terms by the coefficient of [tex]x^2[/tex])Add 15 to both sides.Solve the completed squares.Answer:
The answer is Divide all terms by 5.
Step-by-step explanation:
I got it right on my test
find the values of a, b and c in the equation below (x^5yz^4)^3/x^3yz= x^a y^b z^c
Answer: a = 12, b = 2, c = 11
Step-by-step explanation:
Using exponent rules we can distribute the exponent of 3 to the xyz.
This results in the numerator now being. [tex]x^{5*3}+y^{1*3}+z^{4*3}\\[/tex] This can be simplified to, [tex]x^{15}y^{3}z^{12}\\[/tex].
Now divide the numerator by the denominator subtracting the exponents.
Which equals, [tex]x^{12}y^{2}z^{11}[/tex]
So a = 12
b = 2
and
c = 11
The values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] .
What are exponent ?Exponent indicates that the base is to be raised to a certain power. So, it is the power of the base.
We have,
[tex]\frac{(x^5yz^4)^3}{x^3yz}=x^ay^bz^c[/tex]
Now simplify the above given equation;
[tex]\frac{(x^5*3y^1*3z^4*3)}{x^3yz}=x^ay^bz^c[/tex]
[tex]\frac{(x^{15}y^3z^{12})}{x^3yz}=x^ay^bz^c[/tex]
Now, Using the exponent rule;
[tex]\frac{a^n}{a^m} = a^{n-m}[/tex]
So,
[tex](x^{15-3}y^{3-1}z^{12-1})=x^ay^bz^c[/tex]
[tex](x^{12}y^{2}z^{11})=x^ay^bz^c[/tex]
Now,
As we see variables on both sides of equation are same (i.e. bases of powers are same), so now compare the powers of sides of variables;
⇒ [tex]x^{12}=x^a[/tex]
[tex]a=12[/tex],
And, [tex]y^2=y^b[/tex]
[tex]b=2[/tex]
And, [tex]z^{11}=z^c[/tex]
[tex]c=11[/tex]
So, the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] which are find out using the exponent rule.
Hence, we can say that the values of [tex]a, \ b,\ c[/tex] are [tex]12,\ 2,\ 11[/tex] .
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Pls answer. i will mark u as branliest
Answer:
540°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
A pentagon has n = 5, thus
sum = 180° × 3 = 540°
can someone help and explain
Answer: 4
Step-by-step explanation:
6 times 2 = 12 on the bottom so on the top you do the same thing. 2 times 2 is 4.
Answer:
2/12
Step-by-step explanation:
because when u multiple 2×6=12
so when u get 12 u think of multiplying it by 2 ,
2×2=4
What is -2/3 divided by 2 1/4=?
Answer:
-8/27
Step-by-step explanation:
Convert 2 1/4 into a improper fraction: 9/4
Rewrite the equation: -2/3 divided by 9/4
To divide fraction, multiply by the reciprocal of that fraction
Reciprocal of 9/4: 9/4
Multiply the fractions: -2/3 times 4/9
=-8/27
Answer:
-8/27
Step-by-step explanation:
-(2/3) ÷ (2 1/4 ) (convert 2 1/4 into improper fraction)
= -(2/3) ÷ (9/4) (convert ÷ to x by taking the reciprocal of 9/4)
= -(2/3) x (4/9)
= -(2 x 4) / (3 x 9)
= -8/27
The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month.
Answer:
250.5 - 35m = 300 - 45.25m
Complete question:
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
250.5 + 35m = 300 + 45.25m
250.5 – 35m = 300 – 45.25m
250.5m – 35 = 300m – 45.25
250.5m + 35 = 300m + 45.25
Step-by-step explanation:
For The International Business Club: y = 250.50 - 35m,
For The Future Agricultural Leaders Club: y = 300 - 45.25m.
So the answer is 250.5 - 35m = 300 - 45.25m
250.5 – 35m = 300 – 45.25m
Explanation:
It's this one because the initial for international Business Club is $250.50 and their monthly spending is $35, and for Future Agricultural Leaders Club their initial is $300 and their monthly spending is $45.25
So, the equation would be 250.5 – 35m = 300 – 45.25m
i need help plzz help!!
Answer:
it's 2 because it's the smallest number
A strong man can carry a maximum of 160 kg. Each bag of rice weigh 25 kg. How many full
bags of rice can he carry? Will there be rice left?
Answer:
6 full bags of rice.
0.4 kg of rice will be left.
Step-by-step explanation:
The man can carry a max of 160 kg.
1 bag of rice weighs 25 kg.
160/25 = 6.4
He can carry 6 full bags of rice.
Yes, there will be rice left.
0.4 kg of rice will be left.
Answer:
He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.
Step-by-step explanation:
Man can carry = 160 kg
1 bag of rice = 25 kg
He can carry = [tex]\frac{160}{25}[/tex]
=> [tex]6\frac{2}{5}[/tex]
He can carry 6 whole 2/5 of the rice and 3/5 of rice in one bag would be left.
Mardi received an inheritance of $40,000. She invested part at 9% and the rest at 12%. Her total annual income from the investments was $3900. Find the amount she invested at 9%
Answer:
She invested $30,000 at 9%
Step-by-step explanation:
Let the amount invested per percentage be $x and $y respectively
Total investment is 40,000
This means that;
x + y = 40,000 ••••••••••(i)
Now for her income;
9/100 * x = 9x/100
for the 12% = 12/100 * y = 12y/100
Now;
9x/100 + 12y/100 = 3,900
9x + 12y = 390000 •••••••••(ii)
we solve both simultaneously
From i, y = 40,000-x
Substitute this into ii
9x + 12(40,000-x) = 390,000
9x + 480,000-12x = 390,000
3x = 480,000-390,0000
3x = 90,000
x = 90,000/3
x = $30,000
find the value of x such that I | m.
Answer:
x=16
Step-by-step explanation:
37+(3x+5)=90 (because its a right angle)
3x+5=90-37=53
3x=53-5=48
x=48/3
=16
3a2+4b for a=2 and b=3
Jessi sold half her comic books. Then, she bought 9 more. She now has 11 total. How many did she begin with?
Answer: she begin with 6.
Step-by-step explanation:
At the beggining she had A books.
She sold half of that, so now she has A/2 books.
She bought 9, so now she has A/2 + 9 books,
And we know that A/2 + 9 = 11 books
So A/2 = 11 - 9 = 3
A = 2*3 = 6
So she started with 6 books
Answer:
She began with 4 books
Step-by-step explanation:
Let the original number of Jessi Comic books be x
When She sold half of the comic books, she has ( x - x/2) = x/2 left
When she bought 9 more, she has 11 in total. That is, x/2 + 9 = 11
x/2 = 11 - 9
x/2 = 2
x = 2 * 2
x = 4
She began with 4 books
PLEASE HELP which of the following represents a point? a)the edge of a blackboard b)the stars in the sky c)the surface of a table d)the entire classroom
i belive its b
ANSWER
Since 2 is further left on a number line than 5, 2 < 5. Let’s consider the opposites of these numbers. Identify the opposite of 2 on the number line. Identify the opposite of 5 on the number line. Using your results, which statement is true? Since –2 is further .
Answer:
Step-by-step explanation:
Identify the opposite of 2 on the number line.
✔ –2
Identify the opposite of 5 on the number line.
✔ –5
Using your results, which statement is true?
Since –2 is further
✔ right on the number line, –2 > –5
.
this is the answer
The correct state would be negative 2 is greater than negative 5.
Opposite of the numbersThe opposite of the numbers can be obtained changing the positive numbers to negative equivalent of the number as follows;
opposite of 2 = -2opposite of 5 = -5From the initial given expression, 2 < 5, that is 2 is less than 5.
From the opposite numbers, -2 > - 5, that is negative 2 is greater than negative 5.
Thus, the correct state would be negative 2 is greater than negative 5.
Learn more about number lines here: https://brainly.com/question/24644930
I need help, please help meee
Answer:
[tex] 30\: m^2 [/tex]
Step-by-step explanation:
For triangle:
Base = (4 + 3 +1) m = 8 m
Height = 9 m
For rectangle:
Length = 3 m
width = 2 m
Area of shaded region = Area of triangle - Area of rectangle
[tex]= \frac{1}{2}\times base\times height-length \times width \\\\= \frac{1}{2} \times (4 + 3 + 1) \times 9 - 3 \times 2 \\ \\ = \frac{1}{2} \times 8 \times 9 - 6 \\ \\ = 4 \times 9 - 6 \\ = 36 - 6 \\ = 30 \: {m}^{2} [/tex]
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
5 years old
Step-by-step explanation:
Kevin= k
Daniel= d
k=d+3k-2=(d-2)*4 ⇒ k-2= 4d-8 ⇒ d+3-2 = 4d-8 ⇒ 3d=9 ⇒ d=3 ⇒ k=d+3=5k=5Answer:
Kevin is 6 now
Step-by-step explanation:
K= D+3
2 years ago K-2 =4 (D-2) plug in D+3 for K
D+3-2=4D-8
D+1 =4D-8 rearrange equation by subtracting D and adding 8
9 = 3D
D =3 so K =6
There are 9 red, 8 blue, 5 green, and 15 white marbles in a jar. If I cannot see the marbles, what is the fewest number of marbles I must pick, without replacement, in order to guarantee that 3 of the marbles are of different colors?
Answer:
25
Step-by-step explanation:
Please help, look at the image. Thank you!
Answer:
x(3+4)=4(x+3), (x+2)+5(x-1)=3(x+3)
Step-by-step explanation:
x(3+4)=4(x+3)
3x+4x=4x+12
7x=4x+12
Subtract 4x by both sides
3x=12
Divide 3 by both sides to get x=4
4x+5=3(x+2)
4x+5=3x+6
Combine Like terms
1x+5=6
Subtract 5 from both sides
x=1
(x+2)+5(x-1)=3(x+3)
x=4
A bank exchanges United States currency for British courrency at the rate of 1.60 dollars to the £ .
(a) Calculate,in dollars,the amount received for £ 150.
(b) Calculate,in £ ,the amount paid $ 500 by a customer.
Answer:
Remember that £ has a greater value compared to $ and vice versa.
May I please get help with all the questions
Answer:
1. g(3) = 1
2. (f + g)(2) = f(2) + g(2) = 2 + 3 = 5
3. f(g(4)) = 2
4. g(f(4)) = 1
5. f(f(4)) = 2
6. g(g(2)) = 1
7. base on the chart, the value 3 of g(x) can be gain only for x = 0
In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she averaged 1.4 miles per hour. For the second part of her swim, she swam against the current and started to tire, so her average speed decreased to 0.8 mph. What was the distance of the first part of Yuna's swim? Round to the nearest tenth as needed. The distance in the first part of her swim was ___ miles.
Answer:
0.7
Step-by-step explanation:
follow the steps........
Answer:
0.7
Step-by-step explanation:
Got it right on edge
can someone help me please
Use the graph to fill in the blank with the correct number. f(−2) = ________ Numerical Answers Expected! Answer for Blank 1:
Answer:
2
Step-by-step explanation:
check the point where the x is -2
what is its y-value ?
this is 2, right?
it means that f(-2)=2
Answer:
2
Step-by-step explanation:
If g(x) = x² + 1, what is the value of g(-3)?
Answer:
g(-3)=10
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to -3.
g(x)== x² + 1
x= -3
Substitute -3 in for x.
g(-3)=(-3)²+1
Evaluate the exponent first. -3² is equivalent to -3*-3, which is equal to 9.
g(-3)=9+1
Add 9 and 1
g(-3)=10
Answer:
Step-by-step explanation:
g(x)=x^2+1
at g(-3) = (-3)^2+1
=9+1=10
The volume of a cube is 500 cubic feet. What is the length of each edge of the cube?
It has to be in a square root form
Answer:
The principal, real, root of:
²√7.937005259841 = 2.81726911
All roots:
2.81726911
−2.81726911
7.937005259841 is not a perfect square
Step-by-step explanation:
side length a = 7.937005259841 ft
face diagonal f = 11.224620483094 ft
solid diagonal d = 13.747296369986 ft
surface area S = 377.97631496846 ft2
volume V = 500 ft^3
Please answer correctly !!!!!! Will mark brainliest !!!!!!! No explanation needed !
Answer:
3x = 14
Step-by-step explanation:
5x - y = 6
-2x +y = 8
===================
3x+0y = 14
3x = 14
Answer:
3x = 14
Step-by-step explanation:
5x - y = 6
-2x +y = 8
3x+0y = 14
3x = 14
what is
4x2 + 2x - 7 = 0
Answer:
x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]
Step-by-step explanation:
For this equation: a=4, b=2, c=-7
4x²+2x+−7=0
Step 1: Use quadratic formula with a=4, b=2, c=-7.
x= [tex]\frac{-b + \sqrt{bx^{2}-4ac } }{2a}[/tex]
x = −(2)±√(2)2−4(4)(−7) ÷ 2(4)
x = −2±√116 ÷ 8
x = [tex]\frac{-1}{4} + \frac{1}{4} \sqrt{29}[/tex]
if be=2x+6 and df=5x+9 find df