Answer:
p > 8
Step-by-step explanation:
p - 2 > 6
Add 2 to each side
p > 8
An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50
How many numbers from 1 to 50 are multiples of 3?
3, 6, 9, 12, 15, 18 .......
Let's change the start and end value of the array and find the number of terms
Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.
There is a formula that allows us to quickly find the number of terms
We subtract the first term from the last term and divide by the amount of increase, then we add 1.
(48 - 3) / 3 + 1 = 16 numbers are exactly divisible by 3.
We have 50 numbers and 16 of them divisible by 3
16 / 50 = 8 / 25 probability
The probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have the number from 1 to 50.
Total numbers between 1 to 50 or total outcomes = 50
Total favorable outcomes = total number which is divisible by 3
[tex]=\frac{48-3}{3} +1[/tex]
= 15 + 1
= 16
Now probability will be:
= 16/50
= 8/25
Thus, the probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
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Scale word problem
Someone please help me!!
Answer:
38.4 km
Step-by-step explanation:
Use a proportion.
1 cm is to 12 km as 3.2 cm is to x km.
1/12 = 3.2/x
1 × x = 12 × 3.2
x = 38.4
Answer: 38.4 km
NEED ASAP:
A photographer needs a frame for an 8 x 10 inch picture, such that the total area is 168 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?
Answer:
Step-by-step explanation:
the area of this rectangle is
(10 + 2x)(8 + 2x) = 168
80 + 20x + 16x + 4x² = 168
4x² + 36x = 88
Step-by-step explanation:
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is A.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the width of the frame be represented by x. Therefore, the length and the breadth of the photographer be represented by (10+2x) inches and (8+2x) inches. Therefore, the total area of the photograph can be written as,
Area = Length × Breadth
168 inches² = (10+2x) inches × (8+2x)inches
168 = (10+2x)(8+2x)
168 = 80 + 20x + 16x + 4x²
0 = 80 + 20x + 16x + 4x² - 168
0 = 4x² + 36x - 88
4x² + 36x - 88 = 0
4x² + 36x = 88
Hence, the following quadratic equations that would be used when solving the width of the frame is 4x² + 36x = 88.
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4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?
Answer:
72 breakfasts
Step-by-step explanation:
number of entrees: 4
number of drinks: 6
number of vitamins: 3
four times six times three =
72
Assessment started: undefined. Item 1 What is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} Enter your answer in the box.
{11, 13, 13, 14, 14, 16, 18, 23, 24}
mode: 13, 14median : 14minimum : 11maximum : 24interquartile range : 7.5total numbers : 9As it's odd
Median:-
n+1/29+1/210/25Median is 5th term 14
Please help!!! a ramp is 3 feet high. the angle of elevation is 5 degrees. how long is the ramp to the nearest foot?
Answer:
J
Step-by-step explanation:
Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.
[tex]\textcolor{steelblue}{ \sinθ = \frac{opp}{hyp} }[/tex]
Let the length of the ramp be x.
[tex] \sin5° = \frac{3}{x} [/tex]
Multiply x on both sides:
x(sin5°)= 3
[tex]x = \frac{3}{ \sin5°} [/tex]
x= 34.4 (3 s.f.)
Thus, the length of the ramp is 34 ft. (nearest foot)
Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the second one chose action?
1/27
4/7
18/28
1/14
Use the equation machine to help you solve the addition equation.
k=8
k=9
k=17
k=26
1. give each solid a geometric name. be as precise as you can
а
b
с
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
What is a geometric name?Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
Learn more about geometric on:
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will give brainliest, pls help ASAP!
Step-by-step explanation:
2 × 10⁸ - 7 × 10⁷
= 200,000,000 - 70,000,000
=130,000,000
= 1.3 × 10⁸
Answer:
130 million
Step-by-step explanation:
200 million in N
70 million in F
200-70 = 130 million
Hope this helps have a great day
What is the perimeter of the given quadrilateral?
Answer: 20
Step-by-step explanation: a to d, just count how many squares. and you get 5, and there are 4 sides and it's a perfect square so 5 x 4 = 20, so it is 20, you didn't show what the unit will be so don't forget to write that down!
The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?
Answer:
6.55 miles
Step-by-step explanation:
26.2 miles in 4 hours means 6.55 each hour adds up to the total.
Do ---> 26.2 divided by 4 to get hourly miles = 6.55
How many apples could you buy if you went to the store with five dollars?
Answer:5 apples
Step-by-step explanation:5x1=5
Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.
How much money did Sofia have before her birthday ?
Answer:
67.5
Step-by-step explanation:
135/2=67.5
answer is $67.50
The perimeter of the big wheel of a bicycle is 9 cm longer than the perimeter of the front wheel. On the road of 120 cm, the big wheel does 12 less rotations than the front one. Find the perimeters of each wheel.
PLEASE HELP I'VE BEEN STUCK ON THIS FOR WEEKS!!!
Answer:
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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.
Easy
Solution
verified
Verified by Toppr
Radius of the wheel =r=
2
60
=30 cm
Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
Distance covered in 1 revolution =
7
1320
cm
Distance covered in 140 revolutions =
7
1320
×140=26400 cm=264 m=
1000
264
km
Distance covered in one minute = Distance covered in 140 revolutions =
1000
264
km
Distance covered in 1 hour =
1000
264
×60=15.84 km
Hence, the speed with which the boy is cycling is 15.84km/hr.
100 points!!! please help with this math!!!
Answer:
Height = 9 cm
Volume = 243 cm³
Surface area = 270 cm²
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.
The height of the prism is also called the length, and is the measure of the length that connects the two bases.
So for this prism the height is 9 cm.
Area of the base = (6 × 3) + (3 × 3)
= 18 + 9
= 27 cm²
Volume of a prism = area of the base × height
= 27 × 9
= 243 cm³
Total surface area = (2 × base area) + side areas
= (2 × 27) + 2(6 × 9) + 4(3 × 9)
= 54 + 108 + 108
= 270 cm²
Maggie wants 20 cookies equally in boxes. Each box holds 5 cookies how many does she need?
Answer:
4 boxes
Step-by-step explanation:
If she has 4 boxes that hold 5 cookies each, that will total 20 cookies.
4×5=20
20÷5=4
Please help I will give brainliest.
To answer these questions, we need to graph the equation as well as turn this into slope-intercept form, this is y = mx + b. The m is our slope and the b is the y-intercept.
-> See attached for graph
1.5x + 4.5y = 18
4.5y = -1.5x + 18
y = -[tex]\frac{1}{3}[/tex]x + 4
The slope is -[tex]\frac{1}{3}[/tex]
y = -1/3x + 4
The y-intercept is (0, 4)
The x-intercept is (12, 0)
It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches?
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answer:
2 eggs
Step-by-step explanation:
Use a proportion.
48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.
48/8 = 12/x
Reduce the left fraction.
6 = 12/x
Multiply both sides by x.
6x = 12
Divide both sides by 6.
x = 2
Answer: 2 eggs
the question is in the attachment
Answer:
1 and 7
Step-by-step explanation:
let me know if this is helpful!
"The difference of six and twice a
number is five."
Answer:
x = 1/2
Step-by-step explanation:
twice a number = 2x
difference means subtract 2x - 6 = 5
2x - 6 = 5 Add 6 to both sides.
2x + 6 - 6 = 5 + 6 Combine
2x = 11 Divide by 2
2x/2 = 11/2
x = 5.5
Is the answer different if it is done the other way around for the difference?
6 - 2x = 5 Subtract 6 from both sides
-2x = 5-6 Combine
-2x = - 1 Divide by -2
-2x/-2 = -1/-2
x = 1/2
Yes they are different. Following the way the question is written, I would choose the second method.
Dana invests £5000 for 4 years in a savings account She gets 2% per annum compound interest in the first year, then x% for 3 years, Dana has £5508.23 at the end of 4 years, work out the value of x.
Answer:
£1,330.46
Hope this helps, mate!
Step-by-step explanation:
Hope this helps, mate! :)
In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office
Bryce has $28. He spends $15. Then, his mom gives him $5 more. Which equation shows how Bryce can correctly find his total amount of money?
Answer:
28 - 15 + 5 = 18. Add and subtract will get you ,your answer. Bryce has $18
Step-by-step explanation:
Simple math hope this helped
The ratio of acrobats to dancers was 13 to 15. If there were 247 acrobats, how many dancers were there?
Answer:
im terreb.le at math
Step-by-step explanation:
Answer:
285 dancers
Step-by-step explanation:
[tex]\frac{acrobats}{dancers}[/tex] = [tex]\frac{13}{15}[/tex] = [tex]\frac{247}{x}[/tex]
After cross-multiplication:
13x = ( 15 )( 247 )
13x = 3705
x = 285 dancers
please only geniussssssssssssssssss
Check the picture below.
How many square feet of outdoor carpet will we need for this hole?
Answer:
50 [ft²].
Step-by-step explanation:
1) if the hole is shaded with green colour, then its area
2) can be calculated as sum of three small parts:
2*11+2*7+2*7=2*25=50 [ft²].
please help with the word problem
Answer:
10 mins
Step-by-step explanation:
i hope this helps
Answer:
10 minutes.
Step-by-step explanation:
10 x 3 is 30.