Answer:
875 Watts
Step-by-step explanation:
Given that :
P α s²
P = ks²
Where k is the proportionality constant
When ; p = 1260 ; s = 30
1260 = k * 30²
1260 = 900k
k = 1260 / 900
k = 1.4
Value of p ; when s = 25
P = 1.4 * s²
P = 1.4 * 25²
P = 1.4 * 625
P = 875 watt
Jason purchased three different sizes of candy at the store. The
medium candy was twice as expensive as the small candy. The large
candy was $5 more than the medium candy. He spent a total of $30 on
candy. Write and solve an equation to determine the cost of the small
candy.
Answer: $5
Step-by-step explanation:
Let the small candy be represented by x.
The medium candy was twice as expensive as the small candy. This will be: = 2×x = 2x
The large candy was $5 more than the medium candy. This will be: = 2x + 5
Since Jason spent a total of $30 on
candy, the cost of the small candy will be:
x + 2x + 2x + 5 = 30
5x + 5 = 30
5x = 30 - 5
5x = 25
x = 25/5
x= 5
The small candy cost $5
find the value of x in each triangle. show your work on a separate piece of paper
Answer:
x = 70°
Step-by-step explanation:
the interior angle which is supplemental to 140° is 40°
the sum of the interior angles of any triangle is 180°
so:
180° = 40° + 2x
subtract 40° from each side of the equation:
2x = 140°
x = 70°
Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?
Answer:
48.1 cubic meters or 48100000 cubic centimeters
Step-by-step explanation:
Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75
Volume of Cylinder=Pi×radius squared×height
Lastly 3.14×1.75×1.75×5=48.1
I hope this helps you in any way:)
Select the table that represents a linear function. (Graph them if necessary.)
Ο Α. | xo
1 2 3
y 11 8 5 2
B. x 0
X 0 1 2 3
y 0258
C. X 0
1 2 3
y 10974
O D. X 0 1 2 3
y 8 6 6175
HELP !!!!!
Answer: D
Step-by-step explanation:
Find the missing angle
Answer: 110 degrees
Step-by-step explanation:
30+40=70
180-70=110
The line m has a slope of 4. What is the slope of a line perpendicular to line m?
Step-by-step explanation:
Given
Slope (m1) = 4
As it is said that the lines are perpendicular so we have
m1 * m2 = - 1
4 * m2 = - 1
m2 = - 1/4
The slope of the line perpendicular to line m is
- 1/4
Hope it will help :)❤
Answer:
The slope of the perpendicular line is -1/4
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
Let the slope of the perpendicular line have sloe p
m*p = -1
4 * p = -1
Divide each side by 4
p = -1/4
The slope of the perpendicular line is -1/4
Terry has a box of craft beads.
• 11 are green
• 27 are yellow
• 24 are blue
• 38 are red
What percent of the beads are red?
Answer:
38% of the beads are red
HELP PLEASE!! Alita is 2 times as old as Jiro. Jiro is 4 years younger than Erik. Erik is 1/3 as old as dawn. The sum of all their ages is 72 What equation could you write to represent this situtation????
Step-by-step explanation:
72= (e= 1/3d ) + (j= e-4) + (a= 2j)
or
1/3d - 4 × 2 =72
let d = dawn
let e = erik
let j = jiro
let a = alita
remember that a number next to a variable means multiplication.
The equation could write to represent this situation is
72= (e= 1/3d ) + (j= e-4) + (a= 2j)
What is equation?An equation can be defined as a statement that supports the equality of two expressions joined by the equal sign "=". For example, 2x – 5 = 13. These are the expressions 2x – 5 and 13.The sign connecting these two expressions is "=".
In algebra, an equation is a condition of a variable. It will be filled only with the value specified by the variable. This means that the equation 2x – 5 = 13 is satisfied only when x = 9.
Equations are different, for example:
Linear equations Quadratic equations Cubic equations Quartic equations Differential equations Parametric equationsLet us suppose ,
age of Erik is e
dawn is d
Jiro is j
Alita is a
The equation could write to represent this situation is
72= (e= 1/3d ) + (j= e-4) + (a= 2j)
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Q1 - Finding simple interest
Find the simple interest on a loan of:
£7500 borrowed for 6 years at a
rate of 12% p.a.
interest = £
Answer:
£ 5400
Step-by-step explanation:
P = £ 7500
r = 12% = 0.12
t = 6 years
Simple Interest = P*r*t
= 7500 * 0.12 * 6
= £ 5400
If 400,000 tourists contribute $67 million to a local economy, how much would 600,000 tourists contribute?
Answer:
[tex]100.5\ \text{million}[/tex] is contributed by 600,000 tourists.
Step-by-step explanation:
Given that,
400,000 tourists contribute $67 million to the local economy.
We need to find how much would 600,000 tourists contribute.
400,000 tourists = $67 million
1 tourist = [tex](\dfrac{67}{400,000 })\ \text{million}[/tex]
So, 600,000 tourists contribution is :
[tex]600000\ \text{tourists}=(\dfrac{67}{400,000 })\times 600000\ \text{million}\\\\=100.5\ \text{million}[/tex]
Hence, [tex]100.5\ \text{million}[/tex] is contributed by 600,000 tourists.
Someone help please? its late.
Answer:
It would be 10 units
you can use the midpoint formula.
Maia walks 12 miles. Then she walks 1/4 of that distance.
Answer:
12×0.25 is definitely right
×0.25 is another way of finding a quarter of something. I looked at the other answers and I think this one is the only correct one
Richard rolls a fair dice 420 times.
How many times would Richard expect to roll a four?
Can anyone help me will give you the brainliest
Answer:
256.76inch²
Step-by-step explanation:
area of square = side × side
6.4 × 6.4 = 40.96
number of squares = 6
6×40.96=256.76
It costs $525 for seven adult tickets and twelve youth tickets to the hockey game. If the difference in price between an adult ticket and a youth ticket is $18.00, find the cost of each kind of ticket.
Answer:
adult ticket $39 and youth ticket $21
Hope it helped
PLS mark BRAINLIEST
a basketball player made 62 out of 100 attempted free throws. what percent of free throws was made?
Answer:
62%
Step-by-step explanation:
This is bc a percent is out of every 100, so an equation we can make is 62/100 = x/100, therefore bby solving this equation:
you get x = 62%
Hope this helps
Answer:
345
Step-by-step explanation:
what ratios is equivalent to 6/7
Answer:
6:7
12:14
24:28
Step-by-step explanation:
The beginner ratio is 6:7 to find new equal ratios we just multiply both numbers by a number. In those, each of them is multiplied by two. You can multiply it by any number as long as you keep the 6's answer in the 6's spot and same for 7 & that you multiply both sides and not just one.
A type of fish for your aquarium costs $7 each. You can spend at most $56. How many of these fish can you buy? Write an inequality to model the problem. Then solve the inequality to find the number of fish.Over the next 13 months you have to read more than 65 books. You have to read x books per month. The inequality 13x>68represents this situation. Solve the inequality to find the number of books you have to read per month.
Answer:
x <= 8 ... you can buy a max of 8 fishes
6 books or more per month.
Step-by-step explanation:
Given the information provided, we can create the following inequality which multiplies the cost per fish ($7) by the number of fish we can buy (x) and it has to be less than or equal to $56
7x <= 56
We can now solve this inequality by isolating x
7x <= 56 ... divide 7 on both sides
x <= 8 ... you can buy a max of 8 fishes
-----------------------------------------------------------------------------------------------------------------
13x > 68 ... divide both sides by 13
x > 5.23
Since the number of books needs to be a whole number then we round this decimal up to 6. Meaning that you must read 6 books or more per month.
Is it a function or not a function?
Answer:
Not a function
Step-by-step explanation:
there's two 9's
please only answer if you know the correct answer and answer all question please please please please please
Answer:
Part A: B) 3
Part B: $40
4. -1
7. 5x + 6y
8. Part A: y = 20x
8. Part B: $300
9. e > 12000 pounds
Step-by-step explanation:
Part A: x = 5t + 5
20 = 5t +5
15 = 5t
t = 3
Part B: x = 5t + 5
x = 5(7) + 5
x = 35 +5
x = 40
4. 24 - 5^2
24 - (5*5)
24 - 25 = -1
7. 2x + 4y + 5 + 2y - 5 + 3x
2x + 3x = 5x
4y + 2y = 6y
5 + (-5) = 0
5x + 6y
8. Part A:
Total = y
Lawns = x
Amount = $20
so y = 20x
8. Part B:
y = 20x
y = 20(15)
y = 300
9. The elephant weighs more than 12000 pounds
Elephant = e
More than = >
Pounds = 12000
e > 12000 pounds
Are all parallel lines congruent?
Answer:
Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments. If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.
please help me! i'll mark you brainliest
20 points, (maths)
Answer:
5/6 of the time or 50 minutes
Step-by-step explanation:
What’s the slope to this graph?
Answer:
1
Step-by-step explanation:
rise/run = 1/1 = 1
When a standard die is rolled, find the probability of getting a. 5 b. A number larger than 2 c. An odd number.
Answer:
P(getting a 5)=[tex]\frac{1}{6}[/tex]
P(number larger than 2)=[tex]\frac{2}{3}[/tex]
P(numbers which are odd) =[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
When a standard die is rolled, we get sample space as {1,2,3,4,5,6}
So, let's use formula
P(E)=[tex]\frac{outcomes favorable to event E}{Total number of outcomes}[/tex]
For part A:
Event is getting a 5.
So, out of 6 samples , we get one 5 as outcome
So,
P(getting a 5)=[tex]\frac{1}{6}[/tex]
For part B:
The numbers larger than 2 are {3,4,5,6}
So, p(number larger than 2)=[tex]\frac{4}{6} =\frac{2}{3}[/tex]
P(number larger than 2)=[tex]\frac{2}{3}[/tex]
For part C:
The numbers which are odd are {1,3,5}
So, p(numbers which are odd)=[tex]\frac{3}{6 } =\frac{1}{2}[/tex]
P(numbers which are odd) =[tex]\frac{1}{2}[/tex]
The heights of the mountains in a mountain range are less than 20,000 feet. Write an inequality to represent the heights of the mountains, h, in this mountain range.
Answer:
D, far apart from each other.
Step-by-step explanation:
The inequality that represent the heights of the mountains in the given range is h < 20,000
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given that, the heights of the mountains in a mountain range are less than 20,000 feet.
We need to write an inequality to represent the height of the mountain ranges,
Since, the height is less than 20,000,
Therefore, the inequality =
h < 20,000
Hence, the inequality that represent the heights of the mountains in the given range is h < 20,000
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Solve this and get Brainliest :)
Answer:
Step-by-step explanation:
In 2.5 seconds, a projectile goes from 50 m/s to 800 m/s, heading southwest. What is the acceleration of the projectile?
Answer:
i dont know
Step-by-step explanation:
i dont know
Write an equation of a line that goes thru the points (-2, 6) & (3, -4)
Answer:
y= -2x +2
Step-by-step explanation:
The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.
To find the value of m, use the gradient formula below:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]
[tex]m = \frac{6 + 4}{ - 5} [/tex]
[tex]m = \frac{10}{ - 5} [/tex]
m= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).
y= -2x +c
When x= 3, y= -4,
-4= -2(3) +c
-4= -6 +c
c= -4 +6
c= 2
Thus, the equation of the line is y= -2x +2.
how many times does the divisor 4 divides into 324
Answer:
81 times
Step-by-step explanation:
4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4
Find the missing angle.
(look at the picture)
Answer: 45
Step-by-step explanation:
59 + 76= 135
180-135= 45
Answer:
m∠1 = 45 degrees
Step-by-step explanation:
All triangles have the interior angle of 180
to find the missing angle, take the known angles and add them together:
76 + 59 = 135
then take the sum and subtract it from 180:
180 - 135 = 45