Answer:
[tex]A=110.5\pi \ inches^2[/tex]
Step-by-step explanation:
Given that,
The slant height of a cone, l = 17 inches
The diameter of a cone, d = 13 inches
Radius, r = (D/2) = 6.5 inches
We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
Put all the values,
[tex]A=\pi \times 6.5\times 17\\\\A=110.5\pi \ inches^2[/tex]
So, the lateral surface area of the cone is equal to [tex]110.5\pi \ inches^2[/tex].
Answer:
B 110.5
Step-by-step explanation:
There are 400 pupils in a primary school.
Of the 400 pupils, 88 play a musical instrument.
Express the number of pupils who play a musical instrument as a fraction of the 400
pupils.
Give your answer in its simplest form.
Answer:
11/50
Step-by-step explanation:
[tex] \frac{88}{400} = \frac{11}{50 } [/tex]
Answer:
total number of pupils = 400
number of pupils play musical instruments = 88
number of pupils who play a musical instrument as a fraction form = 88/400
in simplest form = 11/50
PLEASE HELP QUICKLY I WILL GIVE BRAINIEST IF U GET IT RIGHT math teacher assigns anywhere from 15 to 35 problems for homework three nights a week. Over the past three weeks, she recorded the number of problems in each assignment and made the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Number of Problems: 15, 17, 22, 22, 22, 25, 28, 30, 35
B.
Number of Problems: 15, 20, 22, 22, 23, 25, 28, 30, 35
C.
Number of Problems: 15, 20, 22, 22, 22, 25, 28, 30, 35
D.
Number of Problems: 15, 20, 22, 22, 22, 25, 26, 30, 35
Is -5>2 true or false explain your answer
Answer:
It's false
Step-by-step explanation:
it's false because the number that is closer to 0 is the greater number so it would be 2> -5
A grain dealer sold to one customer 5 bushels of wheat, 2 of com, and 3 of ryo, for $228: to another, 2 of wheat, 3 of corn, and 5 of ryo, for $228, and to a third, 3 of wheat, 5 of com, and 2 of rye, for $228. What was the price per bushel for com?
Answer:
2.30 :) hope this helps!!!!!!! :)
Step-by-step explanation:
w = wheat c = corn r = rye
6w + 3c + 6r = 45.90
3w + 6c + 6r = 49.20
6w + 6c + 3r = 41.40
since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:
if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r
-6w - 3c - 6r = - 45.90
3w + 6c + 6r = 49.20
------------------------------------
- 3w +3c = 3.30 or w - c = - 1.10
If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the r again:
-12w - 12c - 6r = - 82.80
6w + 3c + 6r = 45.90
------------------------------------------
- 6w - 9c = - 36.90 or 2w + 3c = 12.30
now we have 2 equations and 2 variables that we can solve by substitution:
w = c - 1.10
2(c - 1.10) + 3c = 12.30
2c - 2.20 + 3c = 12.30
5c = 14.50
c = 2.90
w = c - 1.10 or 1.80
3r = 41.40 - 6(1.80) - 6(2.90)
3r = 13.20 r = 4.40
I will pick the 2nd equation to check my answers :)!
3(1.80) + 6(2.90) + 6(4.40) = 49.20
5.40 + 17.40 + 26.40 = 49.20
As per linear equation, the price per bushel for corn is $22.8.
What is a linear equation?A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.
Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.
To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.
To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.
Let, per piece of wheat is of $x.
Per piece of corn is of $y.
Per piece of rye is of $z.
Therefore, 5x + 2y + 3z = 228 ....(1)
2x + 3y + 5z = 228 .........................(2)
3x + 5y +2z = 228 ..........................(3)
Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:
2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)
⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)
⇒ (- 11y - 19z) = - 684
⇒ 11y + 19z = 684 ......(4)
Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:
3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)
⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228
⇒ - y + 11z = 228 .......(5)
Now, multiplying equation(5) by '11' and then add with equation (4), we get:
11y + 19z + 11(- y + 11z) = 684 + 11(228)
⇒ 140z = 3192
⇒ z = 22.8
Putting the value of 'z' in equation (5) we get:
- y + 11(22.8) = 228
⇒ y = 22.8
Now, putting the values of 'y' and 'z' in equation (1), we get:
5x + 2(22.8) + 3(22.8) = 228
⇒ 5x = 114
⇒ x = 22.8
Learn more about linear equation here: https://brainly.com/question/22990272
#SPJ3
HELP PLEASE
In the figure below, m∠A = 72° and m∠B = (5x + 8)°.
If ∠A and ∠B are supplementary angles, which equation represents their relationship, and what is the value of x?
A.
72 + (5x + 8) = 90
x = 34
B.
72 + (5x + 8) = 180
x = 52
C.
72 + (5x + 8) = 90
x = 2
D.
72 + (5x + 8) = 180
x = 20
Answer:
D. 72 + (5x + 8) = 180, x = 20.
Step-by-step explanation:
Supplementary angles are angles that add up to 180, so the equation would be 72 + (5x + 8) = 180.
Now here, to find the value of x, solve for x.
72 + (5x + 8) = 180
5x + 8 = 108
5x = 100
x = 20
Your answer is D, 72 + (5x + 8) = 180, x = 20.
What is the answer please help no links please no links please no
Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.
Answer:
German Test
Step-by-step explanation:
Find common denominator:
34/50=68/100
14/20=70/100
Therefore, Abeer did better on the German test as 14/20>34/50
URGENT!! I NEED HELP ASAP NOT ROCKY
Ryan wishes to purchase a new boat and can afford monthly payments of up to $300 per month. Finance is available and the terms are that the loan lasts for 3 years, and the annual interest rate is 12%. What is the maximum price for a boat that Ryan's budget can afford? Round your answer to the nearest hundred dollars.
Answer:
$9000Step-by-step explanation:
Given
Monthly payment P = $300Time t = 3 years = 36 monthsNumber of payments n = 36Interest rate r = 12% PA = 1% per month = 0.01 timesUse loan payment formula:
P = r(PV) / (1 - (1 + r)⁻ⁿ), where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of paymentsSubstitute values and solve for PV:
300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)PV = 300*(1 - 1.01⁻³⁶ )/ 0.01 PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
12
2 + 8
2
=
-10c + 40c + 32c =
2x + (-5x)=
-23x + 10x =
Answer:
62 c
-3x
-13x are the answer
Answer:
hi
Step-by-step explanation:
-10c + 40c + 32c =62c
2x+(-5x)= -3x
-23x+10x= -13x
hope it helps
have a nice day
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than quarters. She has 3 more nickels than quarters. She has 4 more pennies than quarters. How many quarters does Jasmine have? Note: A quarter is worth $0.25, a dime is worth $0.10, a nickel is worth $0.05, and a penny is worth $0.01.
Answer:
dw
Step-by-step explanation:
Let y = 2t+ 5 be a linear function representing the distance from home for an
ant t minutes after starting out from a location near its home. What does the
number 5 represent in this function?
Answer:
5 represents the distance from the home that the ant started at.
Step-by-step explanation:
5 represents the distance from the home that the ant started at.
Write an expression for "six minus b".
Please help!!
Answer:
6 - b
Step-by-step explanation:
b doesn't have a value.
help i'll give you brainlyest
Answer: it c i think if im wrong dont be mad 0-0
Step-by-step explanation:
ok thx
X is a discrete random variable. The graph below defines a probability distribution for X.
What is the expected value of X?
Answer: 1.1
Step-by-step explanation:
Expected value is the weighted average of the various possibilities and their probability of occurring.
The probabilities represented are:
0.35, 0.35, 0.15 and 0.15.
They add up to:
= 0.35 +0.35 + 0.15 + 0.15
= 1
The possibilities are; 0, 1, 2 and 3.
Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)
= 1.1
At noon, it was -18 degrees in Billings, MT. At the same time, it was 42 degrees in Mesa, AZ.
How much warmer was Mesa than Billings at noon?
Answer:
60℉ Warmer
Step-by-step explanation:
Since it is a negative temperature in Billings, you need to add 18+42 ( The temp in Mesa ) to get 60 because you need to get how much warmer.
Hope that helps
4) Suppose y varies inversely with the SQUARE ROOT of x.
When x = 4, y = 100.
Which variation equation you need to use? (a) y = kx or (b) y = k/x?
Find the constant of Variation (K) and then find the Variation Equation by plugging the value of k.
Answer:
Variation equation: y = k/√x
constant of variation: 200
Variation Equation by plugging the value of k: y = 200/√x
Step-by-step explanation:
If y varies inversely with the SQUARE ROOT of x, then;
y = k/√x
If x = 4, y = 100.
100 = k/√4
100 = k/2
200 = k
k = 200
Substitute into the expression
y = k/√x
y = 200/√x
write numbers on the blanks to create a different expression that is equal to (3+4)+5
Answer:
(3+4)+5=12
Step-by-step explanation:
(3 + 4 ) = 7
7 + 5 =
12
What’s the answer to this question ?
Step-by-step explanation:
112=35+d
112-35=d
d=77
hope it helps u
GIVING BRAINLY need urgent help give evidence if you just answer for points you will be reported no biTLY LINKS
Answer: I think the first one so A.
Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.
Answer:
50
Step-by-step explanation:
10*5=50
The net of a triangular prism is shown
What is the surface area of the prism
A. 46 cm
B. 54 cm
C. 69 cm
D. 72 cm
E. 96 cm
Answer:
D
Step-by-step explanation:
Formula
SA = 2*triangles + 2 * rectangles on the east and west + 1 base rectangle
Triangles
Area = 1/2 * b * h
Area = 1/2 * 6 * 4
Area = 12
But there are 2 of them so the surface area = 24
Base
Area = L * W
Area = 6* 3
Area = 18
Other 2 rectangles
Area one of them = L * W
L = 5
W = 3
Area one of them = 5*3
Area one of them = 15
But there are 2 of them so the area = 2*15 = 30
Total area = 24 + 18 + 30
Total area = 72
D
Write the following expression without negative exponents and without parentheses. -3x^-2
Answer: -3/x^2
The negative exponent correlates to the x. In order for the exponent to be positive, it changes from the numerator to the denominator.
9 = 3 (1/2 + k)
explanation
What’s the correct answer for this question?
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answer:
x = 10
Step-by-step explanation:
I made a right triangle with a leg of 6 (7-1), base of 7, and hypotenuse of 'x' and then used the pythagorean theorem:
6² + 8² = x²
100 = x²
x = √100
x = 10
Billy has two tables to seat the 12 people.
The top of each table is a rectangle 3 m by 1 m.
Each person sat at a table needs a space of length 1 m.
Billy wants to put the two tables together so that
they touch along one edge
all 12 people can sit at a table. Draw a diagram to show how Billy can put the two tables together.
Use the space below to draw your diagram.
Answer:
What is this I have not understand
A baker has small and large bags of sugar for making cakes. The large bag contains 30 cups cups of sugar and is 2.5 times larger than the small bag. The small bag contains enough sugar to make 9 cakes and have 0.75 cups of sugar remaining. How many cakes can be made with a large bag of sugar?
Answer:
Step-by-step explanation:
The first thing we need to focus on is the fact the large bag (30 cups) is 2.5 larger than the small bag. So, the first we need to do is divided 30 by 2.5, which is 12. (300/25 = 30/2.5 = 12, in case you're confused.) So the small bag has 12 cups of sugar.
What that down, we need to focus how many cakes the small bag can make, which was 9. 3/4 of a cup is left over. We can create an equation from that info, that being 9x + 0.75 = 12. Now let's solve for x.
9x + 0.75 = 12
First, subtract 0.75 from both sides. With that, we can solve for x directly.
9x = 12 - 0.75
9x = 11.25
Now, divide both sides by 9.
x = 11.25/9
x = 1.25
With that, we now know that each cake needs 1.25 cups of sugar.
With that, the last thing we need to is divide 30 by 1.25. Again, I can use powers of ten, to quickly divide 3000 by 125 (10²) to get 24 cakes.
With that done, we have our answer. 24 cakes can be made with a large bag of sugar.
I hope this helps! (⌒ω⌒)
Help me pls I’m stuck
Answer: 44
Step-by-step explanation:
<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ
the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)
<O has the same measure as the arc NQ so angle O is 44
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answer:
The cube root and square root are not given, but I'm going to give a chart that might help.
Square roots:
2 = √4
3 = √9
4 = √16
5 = √25
9 = √81
10 = √100
Cube roots:
2 = ^3√8
3 = ^3√27
4 = ^3√64
5 = ^3√125
9 = ^3√729
10 = ^3√1000
The y-intercept is the value of y when x equals 0.
What is the y-intercept of the line with the
equation y= 2x + 8?
Answer:
(0, 8)
Step-by-step explanation:
To find the y- intercept of the line, substitute x= 0 into the equation.
y= 2x +8
When x= 0,
y= 2(0) +8
y= 8
Thus, the y-intercept of the line is (0, 8).