Answer:
5x2+20x−15
Step-by-step explanation:
Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?
Answer:
336 Peanuts
112 Walnuts
Step-by-step explanation:
So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.
It will look like _ : 224 : _
Next, divide 224 by 2 to get the number of walnuts, the number on the right.
So the number on the right will be 112.
Next, multiply 112 by 3 to get 336.
Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.
Answer: 10 in.
Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2} = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.Write the equation of this line in point-slope form and slope-
intercept form.
Slope = -1 through point (-3,5)
Answer:
y = -1x + 2
Step-by-step explanation:
y = -1x + b
5 = -1(-3) + b
5 = 3 + b
2 = b
y = -1x + 2
Solve the given portion 10/a= 15/24 x=?
Answer:
[tex]a = 16.[/tex]
Step-by-step explanation:
[tex] \frac{10}{a} = \frac{15}{24} [/tex]
Then
[tex]15 \times a = 24 \times 10[/tex]
So
[tex]a = 240 \div 15[/tex]
Therefore
[tex]a = 16.[/tex]
Two events X and y, are independent of eachother. P(Y)=5/6 and P(X and Y)=1/3. What is P(X) written as a decimal. Round to the nearest tenth, if necessary
Answer:
0.2
Step-by-step explanation:
0.2=2/6=1/3=P(x)
.........
53% of 80
? What is the percentage?
Answer:
42.4
Hope that this helps!
Answer: 66.25%
Step-by-step explanation:
53/80 x 100= 66.25%
what is 94.2 and 87 averaged out
Answer:
90.6
Step-by-step explanation:
total is 181.2 divided by 2 is 90.6
Is the missing side length a leg or the hypotenuse?
Answer:
the missing side is
[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]
Answer: Hypotenuse
Step-by-step explanation:
This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.
What is the volume of the following rectangular prism?
Answer:
14 2/3 units^3
hope this helps
have a good day :)
Step-by-step explanation:
7 1/3 x 2=14 2/3
The volume of the rectangular prism is 14.66 square units.
It is required to find the volume of the rectangular prism.
What is prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given:
The volume is calculated as:
V= w h l
V= 7 1/3 x 2
V= 22/3 x 2
V= 44/3
V=14.66 square units.
Hence, the volume of the rectangular prism is 14.66 square units.
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answer?? please answerr
Answer:
the y-intercept of Function A is less than the y- intercept of Function B
Step-by-step explanation:
first, identify each coordinate that has instegers only
(x, y)
(0, -4)(2, 6) (-2, -14)function A y-int: (0, -86)
function B y-int: (0, -4)
I need this answer quickly
9=5-x÷2
x=23
23-5=18÷2=9
At Safeway, a pound of apples cost $1.32. Mrs. Terry purchased 7.5 pounds of apples. How much money did
Mrs. Terry spend on apples?
Answer:
the answer is $1.32×7.5=$9.9
Answer:
£9.90
Step-by-step explanation:
There are 2 ways you can do this. Both are similar.
For the first method it's much quicker but you might need a calculator.
You would simply do 7.5 × 1.32 = £9.90 that should give you the answer.
If you were to do it with out a calculator then what you need to do is 7 × 1.32 = 9.24
Because there is still 0.5 (or 1/2) left from the 7 that you multiplied, you do 1.32 ÷ 2 = 0.66.
Add the 2 numbers together
0.66 + 9.24 = £9.90
Find the value of p when 3P = 1/9
Answer:
p=1/27
Step-by-step explanation:
3p=1/9
when 9 goes to the left land side divide changes into multiplication so 3p and 9 gets multiplied
3p*9=1
27p=1
when 27 goes the right hand side multiplication changes to division .So
p=1/27
The value of P is 1/27 for equation 3P = 1/9
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Equation is 3P = 1/9
Three times of P equal to one by nine
We need to find the value of P
3P = 1/9
Divide both sides by nine
3P/3=1/9×1/3
P=1/27
Hence, the value of P is 1/27.
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A car goes to point a to b in 3 hours and b to a in 5 hours. A to b are 150 km away what is the speed o car
Answer:
50km/h
Step-by-step explanation:
Given data
A-B
Time taken= 3 hours
Distance= 150km
B-A
Time taken= 5 hours
We know that
Speed= distance/time
Speed= 150/3
Speed= 50km/h
Hence the speed of the car is 50km/h
SOMEONE, PLEASE HELP!!!!!!!!
Answer:
Step-by-step explanation:
i think it is b
3 connecting lines are shown. Line A B is horizontal. Line A C is about half the length of A B. Line B C is about one-third of the length of A B.
Which inequality can be used to explain why these three segments cannot be used to construct a triangle?
AC + AB > CB
AC + CB < AB
AC + CB > AB
AC + AB < CB
Answer:
AC + CB < AB
Answer:
AC + CB < AB
Step-by-step explanation:
what does Δy and Δx stand for
Δy just means triangle y and Δx means triangle x.
Find the nth term of 9, 12, 13, 18
Answer:
3
Step-by-step explanation:
in this pattern, you can see that it constantly increases by 3. knowing that, we can plug in 3 I. your equation to figure out any term you would like!
A large cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with c toppings added?
Answer:[tex]18+1.5c[/tex]
Step-by-step explanation:
Given
A large cheese pizza costs $18
Each topping add on costs $1.50
for c toppings added, the prize becomes
[tex]\Rightarrow 18+1.5\times c\\\Rightarrow 18+1.5c[/tex]
the expression (x^2-1)^-2/3 is equivalent to
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
Find the sum of the measures of the exterior angles of a 52-gon.
9360°
9000°
360°
520°
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon is 360°
round to the nearest tenth for 69.08, 43.96, 39.564 please show how to do it
Answer:
69.08 ⇒ nearest tenth
To round 69.08 to the nearest tenth, 0 is in the tenths place and 8 is in the hundredths place. Since the digit in the hundredths place (8) is greater than 5, add 1 to the digit in the tenths place (0).
1 + 0 = 1, so the digit in the tenths place becomes 1 & the digit in the hundredths place is dropped.
∴ 69.08 ≈ 69.1 (corrected to the nearest tenth)
43.96 ⇒ nearest tenth
To round 43.96 to the nearest tenth, 9 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (9), add 1 to the digit in the tenths place (9). This will also add 1 to the whole number part and make the fractional part 0.
1 + 9 = 10
∴ 43.96 ≈ 44 (corrected to the nearest tenth)
39.564 ⇒ nearest tenth
To round 39.564 to the nearest tenth, 5 is in the tenths place and 6 is in the hundredths place. Since the digit in the hundredths place (6) is more than 5, add 1 to the digit in the tenths place (5), add 1 to the digit in the tenths place (5).
1 + 5 = 6, so the digit in the tenths place becomes 6 & the digit in the hundredths and thousandths place is dropped.
∴ 39.564 ≈ 39.6 (corrected to the nearest tenth)
Rounding to the nearest tenth are:
69.08 rounded to the nearest tenth is 69.1.43.96 rounded to the nearest tenth is 44.0.39.564 rounded to the nearest tenth is 39.6.Rounding to the nearest tenth means finding the nearest multiple of 0.1 or one decimal place.
To do this, examine the digit in the hundredth place and decide whether to round up or down based on that digit.
For 69.08, the digit in the hundredth place is 0.
Since 0 is less than 5 then round down, which means the digit in the tenths place remains the same.
Thus, 69.08 rounded to the nearest tenth is 69.1.
For 43.96, the digit in the hundredth place is 9.
Since 9 is greater than or equal to 5, increasing the digit in the tenths place by 1.
Therefore, 43.96 rounded to the nearest tenth is 44.0.
For 39.564, the digit in the hundredth place is 5.
Since 5 is exactly halfway between 0 and 10, round to the nearest even number.
Thus, 39.564 rounded to the nearest tenth is 39.6.
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John finds that there is a scholarship available to all personals scoring in the top 5% on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship
Answer:
He needs a score of 28.7315 to qualify for the scholarship
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean score on the ACT is 21 with a standard deviation of 4.7
This means that [tex]\mu = 21, \sigma = 4.7[/tex]
What score does he need in order to qualify for the scholarship?
The top 5%, so the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 21}{4.7}[/tex]
[tex]X - 21 = 4.7*1.645[/tex]
[tex]X = 28.7315[/tex]
He needs a score of 28.7315 to qualify for the scholarship
A metal washer has an outer diameter of 14mm and an inner diameter of 6mm.Use the value of 3.14 for the to find the area of the metal washer
Answer:
502.4 mm^2
Step-by-step explanation:
First find the area of the larger circle, and then that of the smaller one.
Then subtract the latter (2nd) area from the first.
larger circle area smaller circle area
------------------------- ---------------------------
3.14(14 mm)^2 3.14(6 mm)^ 2
This comes out to 3.14[14^2 - 6^2] mm^ 2 = 3.14[196 - 36] mm^2, or
3.14(160 mm^2) = 502.4 mm^2
The area of the metal washer is 502.4 mm^2.
Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle
The answer is scalene
The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, how many cars did they wash on Sunday?
Answer:
If I did my math correctly, They washed 15 cars on Sunday.
Step-by-step explanation:
50 cars = 100%
Therefore 1 car would be 2% because 50 is half of 100.
So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = 15 cars on Sunday
With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday
Here is some extra data:
10% = 5 cars
20% = 10 cars
30% = 15 cars
40% = 20 cars
50% = 25 cars
60% = 30 cars
70% = 35 cars
80% = 40 cars
90% = 45 cars
100% = 50%
Basically, every 10% is +5 cars
what is the tan B in the given triangle
Answer:
tan 4/3
Step-by-step explanation: also bts sucks
Answer:
4/3
Step-by-step explanation:
tan B = opp/adj
tan B = 4/3
Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?
Given:
Cost of 13 movies = $15.99
To find:
Cost of each movie
Steps:
Lets assume the cost of each movie as 'x'.
So,
[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]
[tex]1.23 = x[/tex]
[tex]x = $1.23[/tex]
Therefore, the cost of one movie is 1.23 dollars
HAPPY TO HELP :)
If you need more help, feel free to ask
Write the following number in standard decimal form
seven and fifty-two thousandths
Please help
Answer:
seven and fifty-two thousandths as a decimal
Step-by-step explanation:
7.52
Your answer should be 7.052
The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:
tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you
What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm? Use 3.13 to approximate pi, and express your final answer to the nearest hundredth. Enter your answer as a decimal in the box. __mm^3
Answer:
[tex]2034.72\:\mathrm{mm^3}[/tex]
Step-by-step explanation:
The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is the height of the cone.
What we're given:
[tex]r[/tex] of 18 [tex]h[/tex] of 6 Use [tex]\pi=3.14[/tex]Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 18^2\cdot 3.14\cdot 6=\boxed{2034.72\:\mathrm{mm^3}}[/tex]