This type of problem can be solved in various ways such as in terms of ratios and fractions, Let us go with fractions.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Miami Marlins won 14 of their first 27 games.
So, their win rate in decimal is,
= 14/27.
= 0.518.
∴ In 162 games at the same rate, Miami Marlins will win,
162×0.518.
= 84 games.
So, after playing 162 games they'll win 84games.
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If the mean of 50 scores is exactly 26,4, and the mean of 49 of those scores is exactly 26, is the 50 score ?
Answer:
The 50th score is 46.
Step-by-step explanation:
Given that
[tex]a_{50} = 26.4\\a_{49} = 26\\n_1 = 50\\n_2 = 49[/tex]
In order to find the 50th score we have to find sum of 49 values and 50 values and then subtract them.
Average is given by the formula:
[tex]Average = \frac{Sum}{Number\ of\ values}\\[/tex]
Using this formula, we can calculate sum for both averages
So,
[tex]a_{50} = \frac{s_{50}}{n_1}\\26.4 = \frac{s_{50}}{50}\\26.4*50 = s_{50}\\s_{50} = 1320[/tex]
And
[tex]a_{49} = \frac{s_{49}}{n_2}\\26.4 = \frac{s_{49}}{49}\\26*49 = s_{49}\\s_{49} = 1274[/tex]
Now for the 50th score,
[tex]50th\ score = s_{50} - s_{49} = 1320-1274 = 46[/tex]
Hence,
The 50th score is 46.
10. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
2.7, 13, 20...
A. yes: 5
B. yes; 6
C. yes: 2
D. no
Answer:
No
Step-by-step explanation:
Priya has 50 identical parcels. Each parcel has a mass of 17 kg, correct to the nearest kilogram. Find the upper bound for the total mass of the 50 parcels.
Answer:
The upper bound for the total mass of the 50 parcels is 850 kilograms.
Step-by-step explanation:
From statement we infer that upper bound is represented by the 50 identical parcels completely full. Then, the upper bound is the product of number parcels and maximum capacity of each parcel:
[tex]m_{UP} = (50\,parcel)\cdot \left(17\,\frac{kg}{parcel} \right)[/tex]
[tex]m_{UP} = 850\,kg[/tex]
The upper bound for the total mass of the 50 parcels is 850 kilograms.
If it is 2 o'clock and you take away 25 minutes, what time would it be?
Answer:
1:35
Step-by-step explanation:
Answer:
It will be 1:35
Step-by-step explanation:
2:00 - 25 = 1:35.
One number is 34 more than another. Their product is −289. Step 1 of 2 : Set up an equation to solve the given word problem.
Answer:
-289=(34+x) * x
Solve for s.
1/2s=7/2
s=1/7
s=2/7
s=3
s=7
Hello! I have done this test and the answer is!..... D: S=7
Have a great day!!!
Natalie and phil are running for 6th grade class president. Natalie receives 16 votes, and phil receives 12 votes.
Answer:
Natalie win as the 6th grade class president
Step-by-step explanation:she win by 4 points after Phil and Natalie has 16 votes and Phil has 12 votes
Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The company makes $10 on the sale of each gallon of paint after subtracting manufacturing costs. How many gallons, x, will they need to sell to have a profit of at least $50,000?
A 10x — 15000 ≥ 50000
B 10x — 15000 > 50000
C 10x + 50000 > 15000
D 10x + 50000 ≥ 15000
Answer:
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
Step-by-step explanation:
Given that the total cost of manufacturing by the company is $15000.
Let x be the number of gallons the company sells.
It is also mentioned that the company earns $10 on each gallon.
So the total profit will be the the difference of the selling cost of gallons and manufacturing cost
Mathematically,
[tex]10x-15000[/tex]
Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so
[tex]10x-15000 \geq 50000[/tex]
The number of gallons can be found by solving the obtained inequality.
Hence,
The correct answer is:
Option A: A 10x — 15000 ≥ 50000
Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,
logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
logb 2/3
Answer:
-0.2084
Step-by-step explanation:
[tex] log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084[/tex]
Mr. Bobo has 5 1/3 lbs of gummy bears. He will put an equal amount of gummy bears into 4 bags. How much gummy bear wil be in each baG?
Anwser:
5.3/4 = 1.3 (.3 repeating)
Step-by-step explanation:
5 1/3 = 5.3 (.3 is repeating)
then divided by 4
What is the value of sin(80%)cos(20°) - cos(80°)sin(20°)?
Answer:
[tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
edge 2020
The value of sin(80) cos(20°) - cos(80°) sin(20°)= √3/2
What is Trigonometry?Trigonometry the area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations.
Given:
sin(80) cos(20°) - cos(80°) sin(20°)
Using Trigonometric identity
sin ( A- B) = sin A cos B - cos A sin B
So, sin(80) cos(20°) - cos(80°) sin(20°)
= sin (80 - 20)
= sin 60
= √3/2
Hence, sin(80) cos(20°) - cos(80°) sin(20°)= √3/2
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What is the Ratio of 472 and 482?
Which expressions have a value of 60 when h=3? Choose two correct answers.
Group of answer choices
1....(h+1)^3 - 4
2.....(4h)^2 + 36
3....4h^2+ 24
Answer:
(1) & (3)
Step-by-step explanation:
Given
List of options
Required
Select which is equal to 60 when h = 3
To do this, we simply substitute 3 for h in all of the options.
1.
[tex](h + 1)^3 - 4[/tex]
[tex](3 + 1)^3 - 4[/tex]
[tex]4^3 - 4[/tex]
[tex]64 - 4[/tex]
[tex]60[/tex]
Hence:
[tex](h + 1)^3 - 4= 60[/tex]
2.
[tex](4h)^2 + 36[/tex]
[tex](4*3)^2 + 36[/tex]
[tex](12)^2 + 36[/tex]
[tex]144 + 36[/tex]
[tex]180[/tex]
Hence:
[tex](4h)^2 + 36=180[/tex]
3.
[tex]4h^2 + 24[/tex]
[tex]4*3^2 + 24[/tex]
[tex]4 * 9 + 24[/tex]
[tex]36 + 24[/tex]
[tex]60[/tex]
Hence:
[tex]4h^2 + 24 = 60[/tex]
HELP ME OUT HERE PLEASEEEEEEEEE
Answer:
2nd option
Step-by-step explanation:
2 3/8-1 3/10
19/8-13/10
190/80-104/80
86/80
43/40
1 3/40
the acceleration of an object dye to gravity depends on the objects initial velocity true or false
Answer:
I- true.................
What is the equation for slope -2,point (-1,4) in y=Mx+b form
Answer:
y=-2×+2
Step-by-step explanation:
Hope this helped you out and sorry if it is wrong!
Martin and Sue are collecting clothes for a clothing drive. Sue collected 1/5 as many clothes as Martin did. If Martin collected 2 1/2 bags of clothes, how many bags of clothes did Sue collect?
Answer:
Sue collected 1/2 bags of clothes.
Step-by-step explanation:
Fractions
Let's solve the problem from end to beginning.
Martin collected 2 1/2 bags of clothes for a clothing drive. This mixed fraction can be expressed as:
[tex]2\frac{1}{2}= 2+\frac{1}{2}=\frac{5}{2}[/tex]
Sue collected 1/5 as many clothes as Martin did. This means she collected:
[tex]\frac{1}{5}\cdot \frac{5}{2}[/tex]
Multiplying:
[tex]\frac{1}{5}\cdot \frac{5}{2}=\frac{1}{2}[/tex]
Sue collected 1/2 bags of clothes.
an airplane moves at a constant speed of 120 miles per hour for 3 hours how many miles does it go
Answer:
Ok this is super easy
Step-by-step explanation:
120 for every one hour
so 120 x 3 isssss????
120 x 3 = 360 mile per hour
Hope I helped sorry If you get it wrong
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?
Answer:
18 degrees Fahrenheit
Step-by-step explanation:
Please hurry it’s urgent thank you
help me please look at the file
Answer:
350 will be your answer :)
Step-by-step explanation:
so i did 70 divided by 2 because 140 divided by 70 = 2
and 70 divded by 2 IS 35!
But wait that isn't what it's asking for right?
then i did 35 TIMES 10 cuz that's what it;s asking for
i got 350 and so should you so in conclusion 350 is your answer
Hopefully this helped!
Answer:
They will drive 350mi in 10hrs.
Step-by-step explanation:
If they go 70 miles in 2hrs then that means they go 35mi in 1hr. So multiply 35 by 10 and you get 350mi.
If P = 5(a + 8), what is a in terms of P?
Answer: (P-40)/5 = a
Step-by-step explanation:
P = 5(a+8)
P = 5a + 40
P - 40 = 5a
(P-40)/5 = a
3 equivalent ratios for 1/10
Answer:
So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.
Step-by-step explanation:
Answer:
1. 2:20
2. 3:30
3. 4:40
Step-by-step explanation:
1/10 can be written as a ratio like so - 1:10
Now we just have to change both numbers by multiplying or dividing by the same amount to get 3 equivalent ratios.
We can multiply both numbers by 2 to get - 2:20
Or we can multiply both numbers by 3 to get - 3:30
And, we can also multiply both numbers by 4 to get - 4:40
These are 3 possibilities of many possibilities
Hope this Helps!!! :)
Let me know if this answer was perfect or if I should change it in the comments!!!
solve the following: 2x=9
Answer:
x=4.5
Step-by-step explanation:
divided both sides by 2, your equation is now x=4.5
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm? 5/4 4/9 5/9 or 4/5
Answer:
5/4
Step-by-step explanation:
At McNeely farm there are 75 sheep and 60 cow
Therefore the number of ratio of cow to sheep can be calculated as follows
= 75/60
=5/4
Answer:
4/5
Step-by-step explanation:
A triangle, ABC, has angle measures of 82,75, and 23 and no sides equal (congruent) in length. How would this triangle be classified?
Answer:
It would be an acute scalene triangle
Step-by-step explanation:
All angles measures are less than 90 so it would be acute. No sides are equal so it would be scalene.
We can classify this triangle as Scalene Acute triangle.
We have a triangle angle measures of 82, 75 and 23 and no sides equal (congruent) in length.
We have to classify this triangle.
What is a Triangle ?A triangle is a plane figure with three straight sides and three angles.
According to question, we have -
A triangle with no side congruent and all angles acute and unequal.
If all the three sides of a triangle are of same length, then the sides are said to be congruent. In an Equilateral triangle all the sides are congruent. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle. An acute angle triangle (or acute-angled triangle) is a triangle in which all the interior angles are acute angles i.e. 0 < [tex]\theta[/tex] < 90. Therefore, it is a Scalene acute triangle.
Hence, we can classify this triangle as Scalene Acute triangle.
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Martina drove 780 miles in 12 hours. At the same rate, how long would it take her to drive 455 miles?
Answer:
7 hours
Step-by-step explanation:
She is driving at 780/12 (65) mph. 455/65=7. She will take 7 hours
Complete the table below to find solutions to the linear equation y=−4x−12.
Answer:
y= -4x-12
-4x
y= -12
Step-by-step explanation:
So Y is equal to -4x minus 12. You subtract the -4x by itself that will leave you with zero. And then you bring down Y and -12, and it will say that Y is equal to -12.
Answer:
X Y
0 -12
3 -24
-3 0
Step-by-step explanation:
i need help asap math sucks and is hard
8th grade math
Answer:
Slope = [tex]\frac{-1}{3}[/tex]
Step-by-step explanation:
(x₁ , y₁) = (-9 , -4) & (x₂ ,y₂) = (-3, -6)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]
if a/3 = b/2, what are the following ratio's? b:a
Answer:
2:3
Step-by-step explanation:
a/3 = b/2
a/b=3/2
b/a=2/3
b:a=2:3
2:3 is a ratio of b:a