Answer:
8
Step-by-step explanation:
In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.
[tex]5=x-6[/tex]
Add 6 to both sides
[tex]11=x[/tex]
Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):
[tex]mean=\frac{6+7+11}{3}[/tex]
Add 6+7+11
[tex]mean=\frac{24}{3}[/tex]
Divide by 3
[tex]mean=8[/tex]
4. Find H. C.F. of 60,75 & 90
Answer:
H.C.F = 15
Step-by-step explanation:
60 = 2 × 2 × 3 × 5
75 = 3 × 5 × 5
90 = 2 × 3 × 3 × 5
HCF = 3 × 5 = 15
What's the area of this shape?
Answer:
[tex] 365.97\: cm^2[/tex]
Step-by-step explanation:
Area of the shape = Area of triangle with base 22 cm and height 16 cm + Area of semicircle with radius (22/2 = 11) 11 cm
[tex] = \frac{1}{2}bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} \times 22 \times 16 + \frac{1}{2} \times \times 3.14 {(11)}^{2} \\ \\ = 11 \times 16 + 3.14 \times 60.5 \\ \\ = 176 + 189.97 \\ \\ = 365.97 \: {cm}^{2} [/tex]
Step-by-step explanation:
The radius would be 11 which is half of the width and the height is 16.
A= πr(r+√h²+r²)
A= π•11•(11+√16²+11²)
A≈ 1051.11836
Write and Graph Inequalities
1. When cooking a turkey, the recommended internal temperature of the turkey is 165 °F. A lower internal temperature will undercook the turkey. Write an inequality that is true only for temperatures that which the turkey will be undercooked.
I want the answer in words pls and thank u
Answer:
Turkeys with an internal temperature of less than 165° F are undercooked.
What is the domain to this graph
Answer:
x > 0
Step-by-step explanation:
The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.
Find the square root of 75
Answer:
8.66 = 9
Step-by-step explanation:
The square root of 75 is approximately equal to 8.66 but if rounded 9
Seema is travelling to California. She travels a distance of 7,800 km by plane to Lima and then another 6,700 km to Los Angeles. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
16 hours 6 minutes
See the image above
What is the answer for earning in dollars
A. 200
B.150
C.110
D.120
Answer:
D. 120
Step-by-step explanation:
Answer:
120
5*24=120
5*20=100
5*16=80
Multiply (−4) × (−2) × (−5).
Answer: -40 or negative forty
Step-by-step explanation:
Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?
Answer:
1
Step-by-step explanation:
that's a very vague question
The length of rectangle is 3 cm longer than its breadth. If the perimeter of the rectangle is 54 cm, find its length,in cm
Answer:
Length=15cm
Hope this answer is right!!
Step-by-step explanation:
Length be 3 cm longer than the breadth.
So, x=y+3
Perimeter = 2(x+y)54
So, x+y=27 =>x=15
x-y=3 =>x=12
So, length is 15 cm
what is x?
0=3x² - 4x + 12
Answer:
x=0.66+1.88i
x=0.66-1.88i
Step-by-step explanation:
Given
3[tex]x^{2}[/tex]-4x+12=0
using the Quadratic Formula where
a = 3, b = -4, and c = 12
[tex]x=-b[/tex]±[tex]\sqrt{b^{2}-4ac } /2a\\[/tex]
x=-(-4)±[tex]\sqrt{(-4)^{2}-4(3)(12) } /2(3)[/tex]
x=4±[tex]\sqrt{16-144} /6[/tex]
x=-4±[tex]\sqrt{128} /6[/tex]
[tex]b^{2} -4ac<0\\[/tex]
x=-4±[tex]8\sqrt{2} i[/tex]/6
[tex]x=\frac{2}{3}[/tex]± [tex]\frac{4\sqrt{2}i }{3}[/tex]
Which becomes,
x=0.66+1.88i
x=0.66-1.88i
The value of x will be x=0.66+1.88i
x=0.66-1.88i
negative 5 plus positive 5
Answer:
0
Step-by-step explanation:
need to find volume, step by step explanation pls
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where, r is the radius of the hemisphere.
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of cylinder is:
[tex]V_2=\pi r^2h[/tex]
Where, r is the radius of the cylinder and h is the height of the cylinder.
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
We know that,
[tex]l^2=r^2+h^2[/tex] [Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.
[tex](10)^2=(6)^2+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
Volume of cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius of the cone and h is the height of the cone.
[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]
[tex]V_3=\dfrac{25.12}{3}(36)[/tex]
[tex]V_3=301.44[/tex]
Now, the volume of the combined figure is:
[tex]V=V_1+V_2+V_3[/tex]
[tex]V=452.16+1356.48+301.44[/tex]
[tex]V=2110.08[/tex]
Therefore, the volume of the given figure is 2110.08 cubic units.
determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )
Answer:245
Step-by-step explanation:
Solve 5x + 6 = 3x - 10
[tex]\boxed{x\:=\:-8 }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
[tex]5x + 6 = 3x - 10[/tex]
[tex]➺ \: 5x - 3x = - 10 - 6[/tex]
[tex]➺ \: 2x = - 16[/tex]
[tex]➺ \: x = \frac{ - 16}{2} [/tex]
[tex]➺ \: x = - 8[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]5x + 6 = 3x - 10[/tex]
[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]
[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]
[tex]➼ \: - 34 = - 34[/tex]
[tex]➼ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Answer:
-8
Step-by-step explanation:
5x + 6 = 3x − 10
Subtract 3x from both sides:
5x + 6 - 3x = 3x - 10 - 3x
2x + 6 = -10
Subtract from 6 both sides:
2x + 6 - 6 = -10 - 6
2x = -16
Divide both sides by 2:
2x -16
____ = ____
2 2
-16
x = ____ (divide)
2
final answer: x = -8
I don't understand help plz
For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Answer:
2
Step-by-step explanation:
2x^2 + 8x + 8
factor the 2 out : 2(x^2 + 4x + 4)
2(x + 2)^2
x = -2
Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15
Answer:
this is the answer
Step-by-step explanation:
20:15=20/15=4/3=n
Hence, 1:n=3:4
Factor the polynomial 3x^2+6x
Answer:
1. [tex]3x(x+2)[/tex]
Step-by-step explanation:
1: Find the GCF (Greatest Common Factor) of the polynomial
Answer: 3x
Then use it to factor out 3x^2 + 6x
3x(x + 2)
Linear equation
Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?
Susan = x
Gina = 3x
Sum of their ages = 12
Susan's age = ?
We can see that,
[tex]2x=10
x = \frac{10}{2}x=
2
10
x = 5x=5[/tex]
Susan is 3 years old.
John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?
x+y-6=0, x-y=0. What is the solution set of the system?
A. (3,3)
B. (-3,3)
C. (3, -3)
Answer:
A. (3,3)
Step-by-step explanation:
find the unit rate of computers per day using the graph
Answer:
You need to look at the graph and find an ordered pair. Once you find an ordered pair divide the x value by the y value to get the unit rate.
Step-by-step explanation:
Convert to polar form
Please click on the above picture and view the full answer.
Step-by-step explanation:
Hope it helps you.^_^
The account that appears in the chart of accounts for a merchandising entity but not for a service entity is
Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes admission and parking, members pay $4.00 per visit to rent ice skates. Non-members pay $11 admissions, $5.00 for parking and they also pay $4.00 per visit to rent ice skates. 1. When is it better to be a member? After 4 visits how much would each pay? Member: $_________ Non-Member: $__________ After 6 visits how much would each pay? Member: $_________ Non-Member: $__________
Answer:
1. members = $ 160 , non members = $ 80
2. members = $ 168 , non members = $ 120
Step-by-step explanation:
For members
Annual membership = $ 144
rent per visit charges = $ 4
For Non members
parking charges = $ 5
admission charges = $ 11
rent per visit = $ 4
(1) for 4 visits
Members pay = $ 144 + 4 x $ 4 = $ 160
Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80
So, non member ship is better.
(2) for 6 visits
Members pay = $ 144 + 6 x $ 4 = $ 168
Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120
So, non member ship is better.
Please help 50 points
Simplify the expression
Answer:
c
Step-by-step explanation:
A
B
Peanut
Butter
Peanut Butter
150g
400g
$2.14
$6.50
Which of the jars shown above is the BETTER buy?
Answer:
I guess 400g good for your diet. and health
The side of a right triangle opposite the right angle.
Answer:
hypotenuse
Step-by-step explanation:
The side opposite the right angle has a special name - hypotenuse
The other two sides of the right triangle are called legs
A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
i. Both are black
ii. The first is black
iii. Both are of the same colour
Given that :
a. it is without replacement
b. it is with replacement
Answer:
There are:
6 red balls - R5 black balls - BTotal number = 11 ballsA. Without replacementi. Two blacks
P(BB) = 5/11*4/10 = 2/11ii. The first is black
P(B) = 5/11or, alternatively
P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11iii. Both are of same colour
P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11B. With replacementi. Two blacks
P(BB) = 5/11*5/11 = 25/121ii. The first is black
P(B) = 5/11or alternatively
P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11iii. Both are of same colour
P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121