Answer:
325+250= 575
Step-by-step explanation:
It's Suzie's turn to provide the drinks for field hockey practice. She plans to bring 24 sports drinks. The store is almost out of lemon-lime sports drinks, so Suzie gets fewer than 12 of those and fruit punch sports drinks for the rest.
Let a represent the number of lemon-lime sports drinks Suzie might get. Which inequality models the story?
The inequality models the story is given by a < 12
What is an inequality?An inequality is an expression that can be used to show the non equal comparison of two or more numbers and variables.
Let a represent the number of lemon-lime sports drinks Suzie might get. Hence:
a < 12
The inequality models the story is given by a < 12
Find out more on inequality at: https://brainly.com/question/24372553
Please answer the following Question (35 Points)
Percent of bracelets made during the weekend
= # of bracelet made during the weekend / total bracelet needed
= 54 / 300 = 0.18 --> 18%
is the expression 8-6x+x^ in standard form
Answer:
[tex]x^{2}[/tex] - 6x +8 is standard form
Step-by-step explanation:
terms with highest exponents come first, then descend in order
How far does the kangaroo travel in 2 minutes?
Answer:
1.3 kilometers
Step-by-step explanation:
You are welcome
HELP ME PLEASEEE Write an equation and solve for the missing value. SHow your work
Answer:
1. x = 23
2. y = 14
3. n = 17.5
4. x = 12
5. n = 11
Step-by-step explanation:
Complementary angles are equal to 90°
Vertical angles are congruent, which means they are equal to each other.
Supplementary angles are equal to 180°
1.
2x - 3 + 47 = 90
Step 1: Combine like terms (-3 + 47)
2x (-3 + 47) = 90
2x + 44 = 90
Step 2: Subtract 44 from both sides
2x + 44 - 44 = 90 - 44
2x = 46
Step 3: Divide by 2 on both sides
2x/2 = 46/2
Step 4: Simplify
x = 23
2.
5y + 12 = 82
Step 1: Subtract 12 from both sides
5y + 12 - 12 = 82 - 12
5y = 70
Step 2: Divide by 5 on both sides
5y/5 = 70/5
Step 3: Simplify
y = 14
3.
4n - 5 + 115 = 180
Step 1: Combine like terms (-5 + 115)
4n (-5 + 115) = 180
4n + 110 = 180
Step 2: Subtract 110 from both sides
4n + 110 - 110 = 180 - 110
4n = 70
Step 3: Divide by 4 on both sides
4n/n = 70/4
Step 4: Simplify
n = 17.5
4.
Since m∠XYZ = 110°
3x + 2 + 72 = 110
Step 1: Combine like terms (2 + 72)
3x + (2 + 72) = 110
3x + 74 = 110
Step 2: Subtract 74 from both sides
3x + 74 - 74 = 110 - 74
3x = 36
Step 3: Divide by 3 on both sides
3x/3 = 36/3
Step 4: Simplify
x = 12
5.
5n + 35 = 90
Step 1: Subtract 35 from both sides
5n + 35 - 35 = 90 - 35
5n = 55
Step 2: Divide by 5 on both sides
5n/5 = 55/5
Step 3: Simplify
n = 11
A triangular prism and its dimensions are shown in the diagram.
Which is closest to the total surface area of the prism in square centimeters?
Answer:
I'm friends with the monster thats under my bed
DONT REMOVE THIS PLEASE
Step-by-step explanation:
Which one of the following equations is equivalent to the equation ?
A
6x−22=26x-22=2
We simplify the equation :
2(x+3) + 5x = 34
= 2x + 6 + 5x
= 7x + 6
So, 7x + 6 = 34
x = (34-6)/7 = 4
Equation A : 6x - 22 = 2
x = (22+2)/6 = 4 (so it's equvalent).
Equation B : x/5 = 4
x = 4 x 5 = 20 (not equivalent)
Equation C :
3x - 6 = 12
x = (12+6)/3 = 6 (not equivalent)
Equation D : 6x = 18
x = 18/6 = 3 (not equivalent)
So, it's equation A
Drag over the word that goes best with the image
The answer would be the surface area:
Definition:
Surface area: It is the sum of the area of all the surfaces of that object.Volume: scalar quantity expressing the amount of three-dimensional space enclosed by a closed surfaceBase: the lowest part or edge of something, especially the part on which it rests or is supported.Cameron had 30 minutes to do a three problem quiz. He spent 8 3/4 minutes on question A and 5 1/2 minutes on question B. How much time did he have left for question C?
ause
The expression 500 + 25w models the balance of Santiago's bank account, where w represents the number of
weeks since the account was opened. What does 500 represent?
The 500 in the equation represents the initial amount deposited in the bank before the weeks start counting.
Linear equationLinear equation is an equation in which the highest power of the variable is one.
Therefore, the modelled equation represents a linear equation.
y = 500 + 25wwhere
w = number of weeks since the account was opened
The equation models the balance in her account. This equation tells us each week the owner deposits 25 units amount.
Therefore, the 500 in the equation represents the initial amount deposited in the bank before the number of weeks start counting
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Last 2 answers 12 10/3
What is the multiplicative inverse of 7?
1
7
1
-7
0
if you are correct ill give brainily
Answer:
1/7
Step-by-step explanation:
If m=[tex]\frac{x}{y}[/tex] and n=[tex]\frac{1}{xy}[/tex], what is [tex]\frac{m}{n}[/tex] in terms of x and y?
A. y^2
B. x^2
C. 1/x^2
D. 1/y^2
-Please explain the process. Thanks!
Answer:
B. x^2
Step-by-step explanation:
If m = x/y and
n = 1/xy
then
m/n = (x/y)/(1/xy)
You can simplify this complex fraction (fraction over a fraction) with the method Keep-Change-Flip. It works!
KEEP x/y
CHANGE ÷ to ×
FLIP 1/xy over to be xy/1
See image.
x/y • xy/1
= x^2
Select the correct answer. Which number is a rational number? A. B. C. D.
Answer:
im not sure the answer choices but heres what I found:" In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer. "-wikipidia
Step-by-step explanation:
The probability of spinning and landing on red is 20%. Meg spins the spinner 25 times and lands on red 10 times, or 40% of the time. She spins the spinner 80 times and lands on red 18 times or 22. 5% of the time. What is a good explanation for this?.
The probability is the ratio of the favorable event to the total number of events. All three show the correct description.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
The probability of spinning and landing on red is 20% can be written as 1/5 which represents the spinner has five equal sections.
Meg spins the spinner 25 times and lands on red 10 times, or 40% of the time. In this, 40% represents the probability of red occurring 10 times out of 25.
She spins the spinner 80 times and lands on red 18 times or 22. 5% of the time. In this, 22.5 % represents the probability of red occurring 18 times out of 80.
More about the probability link is given below.
https://brainly.com/question/795909
help meez 40 pts use surface area formula of cylinder that is for Lateral surface area and for total surface area
LSA= 2πrh
TSA= 2πr(h+r)
(b) volume of cylinder= πr^2h
show all work of you get 3 stars and no braily
Answer:So the radius of the cylinder is 2.65 cm.
A cylinder can be defined as a solid figure that is bound by a curved surface and two flat surfaces. The surface area of a cylinder can be found by breaking it down into 2 parts:
1. The two circles that make up the caps of the cylinder.
2. The side of the cylinder, which when "unrolled" is a rectangle.
The area of each end cap can be found from the radius r of the circle, which is given by:
A = πr2
Thus the total area of the caps is 2πr2.
The area of a rectangle is given by:
A = height × width
The width is the height h of the cylinder, and the length is the distance around the end circles, or in other words the perimeter/circumference of the base/top circle and is given by:
P = 2πr
Thus the rectangle's area is rewritten as:
A = 2πr × h
Combining these parts together we will have the total surface area of a cylinder, and the final formula is given by:
A = 2πr2 + 2πrh
where:
π is Pi, approximately 3.142
r is the radius of the cylinder
h height of the cylinder
By factoring 2πr from each term we can simplify the formula to:
A = 2πr(r + h)
The lateral surface area of a cylinder is simply given by: LSA = 2πr × h.
Example 1: Find the surface area of a cylinder with a radius of 4 cm, and a height of 3 cm.
Solution:
SA = 2 × π × r2 + 2 × π × r × h
SA = 2 × 3.14 × 42 + 2 × 3.14 × 4 × 3
SA = 6.28 × 16 + 6.28 × 12
SA = 100.48 + 75.36
SA = 175.84
Surface area = 175.84 cm2
Example 2: Find the surface area of the cylinder with a radius of 5.5cm and height of 10cm.
Solution:
The radius of cylinder = 5.5 cm.
The height of cylinder = 10 cm.
The total surface area of the cylinder is therefore:
TSA = 2πr(r+h)
TSA = 11π (5.5+10)
TSA = 170.5 π
TSA = 535.6 cm2
Example 3: Find the total surface area of a cylindrical tin of radius 17 cm and height 3 cm.
Solution:
Again as in the previous example:
TSA = 2πr(r+h)
TSA = 2π× 17(17+3)
TSA = 2π×17×20
TSA = 2136.56 cm2
Example 4: Find the surface area of the cylinder with radius of 6 cm and height of 9 cm.
Solution:
The radius of cylinder: r = 6 cm
The height of cylinder: h = 9 cm
Total surface area of cylinder is therefore:
TSA = 2πr(r + h)
TSA = 12π (6+9)
TSA = 180 π
TSA = 565.56 cm2
Example 5: Find the radius of cylinder whose lateral surface area is 150 cm2 and its height is 9 cm.
Solution:
Lateral surface area of cylinder is given by:
LSA = 2πrh
Given that:
LSA = 150cm2
h = 9cm
π is the constant and its value = 3.14
Substitute the values in the formula and find the value of r by isolating it from the equation:
LSA = 2πrh
150 = 2× π × r × 9
r = 150 / (2×9× π)
r = 2.65cm
So the radius of the cylinder is 2.65 cm.
The lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let us consider the radius of the cylinder is 2 and height of cylinder is 5.
Lateral surface area = 2πrh
Plug in the values of radius and height
=2×3.14×2×5
=62.8 square units.
Total surface area TSA= 2πr(h+r)
=2×3.14×2(5+2)
=2×3.14×2×7
=87.92 square units
Volume of cylinder= πr²h
=3.14×4×5
=62.8 cubic units
Hence, the lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.
To learn more on Three dimensional figure click:
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I WILL GIVE BRAINLIEST Suppose that is $1200 initially invested in an account at a fixed interest rate, compounded continuously. Suppose also that, after six years, the amount of money in the account is $1431 . Find the interest rate per year.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Note: The percent sign is already taken care of.
=====================================================
Explanation:
The continuously compounded interest formula is
[tex]A = Pe^{rt}\\\\[/tex]
where,
A = 1431 = account balance t years into the futureP = 1200 = deposite = special constant roughly equal to 2.718r = unknown interest rate and what we want to findt = 6 yearsSince the unknown variable r is in the exponent, we'll need logs to solve it. A handy phrase is "if the exponent is in the trees, log it down to find it". By "log it down" I mean in terms of lumber, and not a journal.
We could use any base logarithm, but it's handy to use the special base 'e' log. This is the natural logarithm abbreviated as Ln.
---------------
Solving for r involves these steps
[tex]A = Pe^{rt}\\\\1431 = 1200*e^{r*6}\\\\e^{6r} = 1431/1200\\\\e^{6r} = 1.1925\\\\6r = \text{Ln}(1.1925)\\\\r = \frac{1}{6}*\text{Ln}(1.1925)\\\\r \approx 0.02934199063006\\\\r \approx 0.0293\\\\[/tex]
Move the decimal over 2 spots to the right to convert 0.0293 to 2.93%
This is the same as multiplying by 100.
Two angles are vertical angles. The measure of one angle is 36º. The measure of the other angle
is (4x). What is the value of x?
Answer:
x = 9
Step-by-step explanation:
Vertical angles has same measurement so the two angles are equal:
if one of the angle is 36 and the other is represented by 4x then the value of x:
4x = 36 divide both sides by 4
x = 9
How does the slope equal - 1/2 I don't understand please help
Step-by-step explanation:
When finding the slope using a graph, you can find it with a method called rise/run. This essentially means a change of y/a change of x
We find this by plugging in the given y points over the given x points
[tex]\frac{2-0}{-5-(-1)}[/tex]
[tex]\frac{2}{-4} =-1/2[/tex]
Therefore, the slope is -1/2.
need help please, almost done,
Select the correct answer. If a = 4, what is the value of the expression 12 - a/4 ? A.1/2 B.4 C. 11 D.12
Answer:
c) 11
Step-by-step explanation:
If a = 4, what is the value of the expression 12 - a/4 ? A.1/2 B.4 C. 11 D.12
[tex]12-\frac{a}{4} =12-\frac{4}{4}=12-1=11[/tex]
Hope this helps!
10 points do all thanks very much
A model submarine is 12 cm long. If it was built with a scale of 4 cm : 5 m then how long is the real submarine?
Answer:
15 m
Step-by-step explanation:
4:5
4:5 × 3 =
12:15
15 m is the answer
Todd helps his dad with his landscaping business during the summer. He earns $10 for each shrub he plants and $25 for each lawn he mows. If Todd planted 194 shrubs and mowed 62 lawns, how much money did Todd earn?
Answer:
Todd earned: $3490
Step-by-step explanation:
First you have to times 10 ($ per shrub) by 194 (# of shrubs planted) and 25 ($ per lawn) by 62 (# of lawns mowed)
10 * 194 = 1940
25 * 62 = 1550
Then you have to add the two together to get the total amount of money he earned.
10 * 194 + 25 * 62 = 3490
find the length of the missing side in the triangle, give answer in 1 decimal place
Graph the image of HIJK after it is rotated 180° about the origin.
Answer:
see attached
Step-by-step explanation:
Rotation 180° about the origin is equivalent to reflection across the origin. Effectively, every coordinate changes sign.
(x, y) ⇒ (-x, -y) . . . . rotation 180°
__
Additional comment
There are numerous approaches to making the plot of the reflected image. We chose to plot one point, then develop the rotated image by plotting other points in their proper relative position.
There are geometry programs and apps that can reflect a figure across any point you might choose. They will also do the rotation, if you find that simpler.
You can, of course, compute the values of each of the rotated coordinates, and then plot the points at their new location. We judge that to be the most work of all. YMMV
3, -12, 48, …; 6th term
Pattern : Multiply by -4 to get to the next number
3 x (-4) = -12
-12 x (-4) = 48
To get to the 6th term : 3 x (-4)^5 = 3 x (-1024) = -3072
.Two angles in a triangle have measures of
49 and 93. What is the measure of the third
angle?
Answer:
38 I'm 90% sure here so sorry if I am wrong
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
I got it right
find the speed of a car if it can travel a distance of 217 km in 3 hours 30 minutes
Answer:
65.1 km/hr
Step-by-step explanation:
The car travelled 217km in 3 hours and 20 minutes. We can divide the km by the time to obtain a speed that is km per a time value. If we would like it expressed as km/hour, we will need to convert the 20 minutes into hours.
20 minutes is (20 minutes)*(1 hour/60 minutes) = (1/3) hour
The total time to travel 217km is 3 and 1/3, or (10/3) hours.
The speed is (217 km/((10/3) hours)
Speed = 65.1 km/hr
N bisects MO. MN = 7x - 15, NO = 2x + 5. Find x
Answer:
x = 4
Step-by-step explanation:
I don't see a picture, so I'm assuming that M, N, O are points on a line segment with endpoints M and O.
Point N bisects segment MO, so it's in the middle of that segment. That means the distance from M to N and the distance from N to O are equal.
7x - 15 = 2x + 5
5x - 15 = 5
5x = 20
x = 4
