Answer:
8.4 miles
Step-by-step explanation:
Given that :
Total time taken = 78 minutes = 78/60 = 1.3 hours
To Speed = 14 mph
Fro Speed = 12 mph
Let the distance be represented as, d
Distance = speed * time
Time = distance / speed
To time + Fro time = 1.3 hours
d / 14 + d / 12 = 1.3 hours
Take lcm of 14 and 12 ; = 84
(6d + 7d) / 84 = 1.3
13d /84 = 1.3
13d = 1.3 * 84
13d = 109.2
d = 109.2 / 13
d = 8.4 miles
The distance is 8.4 miles
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Given:
Divide 73.85 by 4.1.
To find:
The first step when applying properties of operations to divide 73.85 by 4.1.
Solution:
We have,
Divide 73.85 by 4.1 [tex]=\dfrac{73.83}{4.1}[/tex]
Here, the dividend is 73.83 and divisor is 4.1.
First, we have to remove the decimals.
In numerator we have to digits after decimal and in denominator we have 1 digit after decimal.
So, multiply the divisor and dividend by 100 to remove the decimal.
Therefore, the first step is "Multiply the divisor and dividend by 100".
Answer:
B
Step-by-step explanation:
What is the first step when applying properties of operations to divide 73.85 by 4.1?
If y = 2x3 - 4x and dx, dt equals 4 , find dy, dt when x = 1. Give only the numerical answer. For example, if dy, dt = 3, type only 3
Work Shown:
y = 2x^3 - 4x
dy/dt = 2*3*x^2*dx/dt - 4*dx/dt
dy/dt = 2*3*1^2*4 - 4*4
dy/dt = 8
notice how I used the chain rule for step 2.
4. Convert 23 miles per hour to kilometers per minute. (1 mile = 1.609 kilometers)
Answer:
Ewan ko lng po when you find someone ma mas better less sa kanya
Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars
Answer:
Her investment will increase by 551.54 dollars
Step-by-step explanation:
So we know that the exponential function formula is f(x)=a(1+r)^x
So knowing that we can input values
So now we have f(x)=400(1+0.055)^6
Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6
So next we have to add 1 and 0.055 which is 1.055
So we input that into the equation so now we have f(x)=400(1.055/1)^6
Now we have to do (1.055/1) to the power of six, so we get 1.37884280676
Now we have to 1.37884280676 times 400, which would be 551.537122705.
Assuming they want to the nearest 100th it would be 551.54
So the answer is 551.54 dollars
Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)
AT first, shop A had 156 kg of rice and shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B. How many kilograms of rice did Shop B sell
(Please give an easy method)
Answer:
44 kg, and since both sold the same amount so did A.
Let me know if this method doesn't make sense though and I should be able to explain it.
Step-by-step explanation:
Both shops sold the same amount, let's call it x.
At the end, let's say shop B had y left, this means A would have 4y left, since the question says "After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B"
So this means A started with 156, sold x and was left with 4y, or in math 156 - x = 4y
B you could write 72 - x = y
Now you have a system of equations.
156 - x = 4y
72 - x = y
There are a number o ways to look at this. If you graph them you want the (x, y) coordinates where they intersect, or in other words the x and y values that work for both of these equaions.
The methods all wing up making you solve for one variable and plugging it into the other equation to solve for the other. The easiest method is probably canceling out.
156 - x = 4y
72 - x = y
Now, for these two the goal is to make one of the variables go away by adding or subtracting one equation from the other. You could also multiply one by something. In fact here are all possibilities.
If you subtract one from the other here is what would happen.
156 - x = 4y
-(72 - x = y)
_________
156 - x = 4y
-72 + x = -y because you distribute the minus sign
_________
84 = 3y because 156-72 = 84, -x + x = 0 so they canceled out and 4y - y = 3y
28 = y because you divide both sides by 3.
It's all just algebra after the addition/ subtraction. You could also do it the other way subtracting 156 - x = 4y from 72 - x = y. Either way would cancel the xs. But now that you know y = 28 you can plug that into either of the equations again to find x.
156 - x = 4y
156 - x = 4(28)
156 - x = 112
156 = 112 + x
44 = x
72 - x = y
72 - x = 28
72 = 28 + x
44 = x
Now, if you wanted to cancel the ys initially you would have to multiply.
156 - x = 4y
72 - x = y
Normally subtracting just got rid of the xs. You would need to multiply the bottom one by 4 to get rid of ys.
156 - x = 4y
288 - 4x = 4y
Now if you subtracted one from the other the 4ys would cancel. You could also divide the top one by 4 and get
39 - x/4 = y
72 - x = y
here you have a fraction though and that's gonna make things a little more difficult.
Let me know if this method doesn't make sense though and I should be able to explain it.
A student draws two parabolas on graph paper. Both parabolas cross the x-axis at (-4, 0) and (6.0). The y-intercept of
the first parabola is (0,–12). The y-intercept of the second parabola is (0, -24). What is the positive difference between
the a values for the two functions that describe the parabolas ? Write your answer as a decimal rounded to the nearest
tenth.
Answer:
∆a = 1/2
Step-by-step explanation:
parabolas cross the x-axis at (-4, 0) and (6, 0)
y = a(x + 4)(x - 6)
At the y-intercept x = 0
y = a(0 + 4)(0 - 6)
y = -24a
-----------------------
y-intercept of the first parabola is (0,–12)
-12 = -24a
a = 1/2
-----------------------
y-intercept of the second parabola is (0, -24)
-24 = -24a
a = 1
----------------------
What is the positive difference between the a values
∆a = 1 - 1/2
∆a = 1/2
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9
Answer:
The answer is "[tex]y\approx 1.4[/tex]".
Step-by-step explanation:
In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.
Answer:
b
Step-by-step explanation:
Solve the inequality. q/3 < 11
Answer:
[tex]q < 33[/tex]
Step-by-step explanation:
[tex] \frac{q}{3} < 11[/tex][tex]q < 11 \times 3[/tex]
[tex]q < 33[/tex]
Hope it is helpful....Answer:
33
Step-by-step explanation:
q/3<11
q=11×3
q=33
:. The answer is 33.
Martin was selling tickets for a basketball game in a high school. He sold 1,250 tickets and the total amount collected for the game was $2,750. The student tickets cost $2 each, and adult tickets cost $3 each. How many student and adult tickets were sold?
Answer:
x = number of students tickets = 1,000
y = number of adults tickets = 250
Step-by-step explanation:
Let
x = number of students tickets
y = number of adults tickets
x + y = 1,250 (1)
2x + 3y = 2,750 (2)
Multiply (1) by 2
x + y = 1,250 (1) * 2
2x + 2y = 2,500 (3)
2x + 3y = 2,750 (2)
Subtract (3) from (2) to eliminate x
3y - 2y = 2,750 - 2,500
y = 250
Substitute y = 250 into (1)
x + y = 1,250
x + 250 = 1,250
x = 1,250 - 250
x = 1,000
x = number of students tickets = 1,000
y = number of adults tickets = 250
Variables, in statistics, refer to:
A) characteristics of experimental units
B) data that has been collected
C) unknown quantaties
I tried figuring it out but its kinda hard not knowing what to make as an equation?
If you were asked to equate the sides of an equation, how would you do that
Answer:
you would divide an equation from the multiple and then you would simplify the equation for an answer
Which of the relations given by the following sets of ordered pairs is not a function?
0 [(5,0), (4,0), (3,0), (2,0), (1,0)}
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)}
{(-8,3), (- 6,5), (- 4,2), ( - 2,7), ( - 1,4)}
{(-6,4), ( – 3, - 2), (0,5), (1, - 2), (2,3)}
Answer:
{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)} is not a function.
Step-by-step explanation:
For a function to be a function, there is only ever one y value per x value. In this set, -1 has two outputs, or y values. It has -1 and 1. As a result, this is not a function.
Find each measure
Please help me
Answer:
11:90
12: 90
13: 90
14:90
15:180
16: 135
17:225
Step-by-step explanation:
I don't know if this is entirely true but I hope it helps
Someone help me please !!
Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.
Step-by-step explanation:
Find the product of the Mixed numbers.
2 2/3 x 1 1/2
what statemets are correct? Check all that apply.
1. write the mixed numbers as improper fractions
2. multiply the numerators to get 24.
3. multiply the denominators to get 6.
4. write the improper fractions as a mixed number
5. The product is 4.
6. The product is 2 2/5
Answer:
1., 2., 3., 5.
Step-by-step explanation:
2 2/3 x 1 1/2 =
= (2 * 3 + 2)/3 * (1 * 2 + 1)/2
= 8/3 * 3/2
= 24/6
= 4
Answer:
Write the mixed numbers as improper fractions.
Multiply the numerators to get 24.
Multiply the denominators to get 6.
Write the improper fraction as a mixed number.
The product is 4.
Step-by-step explanation:
the other person is wrong
I purposely got this question wrong so I can see the right answers
these are the correct answers
(edge)
h (t) = -10t + 6
h ( ? ) = -44
I'm looking for the T that goes in the parenthesis
This is from Algebra 1 - Khan Academy, Unit Functions
Answer:
[tex]{ \tt{h(t) = - 10t + 6}} \\ - 44 = - 10t + 6 \\ - 10t = - 50 \\ t = 5[/tex]
Answer:
h(5)
Step-by-step explanation:
Equate - 10t + 6 and - 44 and solve for t
- 10t + 6 = - 44 ( subtract 6 from both sides )
- 10t = - 50 ( divide both sides by - 10 )
t = 5 , that is
h(5) = - 44
What percentage of 1hour is 6munites 20seconds
Answer:
1 minute and 12 seconds is 2 % of an hour.
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
Find cos R.
A. cos R =29/21
B. cos R =21/20
C. cos R =21/29
D. cos R =20/29
Answer:
The answer is 12 %R
Step-by-step explanation:
Answer:
[tex]\text{C. }\cos R=21/29[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
From the diagram, we know:
Angle R's adjacent side is 21The hypotenuse (longest side) of the right triangle is 29Therefore, the cosine of angle R must be [tex]\boxed{\frac{21}{29}}[/tex]
Domain and rang of these
Answer:
Domain: {-3, -1, 1}
Range: {-1, 2, 4, 5}
Step-by-step explanation:
The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.
Determine the area of the triangle.
223.6 square units
248.7 square units
447.1 square units
458.4 square units
Answer:
223.6 square units. or 223.569 square units
Answer:A
Step-by-step explanation:I took the test
What does 1/8 equal to
Answer:
0.125
Step-by-step explanation:
It could be a lot of things, but if you mean the decimal form then it would be 0.125. Just divide 1 by 8.
Need help, please answer this
Answer:
In this exercise we need to solve the equation
3(x-2) = 2x + 6 - 2
We operate the parentheses and the right side
3(x-2) = 2x + 4
3x - 6 = 2x + 4
We add 6 to both sides
3x -6 + 6 = 2x + 4 + 6
3x = 2x + 10
We substract 2x
3x - 2x = 2x + 10 - 2x
x = 10
x = 10
Step-by-step explanation:
Express as a trinomial.
(2x-6)(2x-8)
Answer:
192
Step-by-step explanation:
calculator
Find the area.
A hexagon with side length 6m.
Answer:
93.53m.
Step-by-step explanation:
.
What 23.5 x 10 to the power of two in scientific notation explain please
Answer:
2.35 x 10^3
Step by Step:
Rewrite the number in scientific notation.2.35 x 10^3
The number of students in a geometry class is four
fifths the number of students in a Spanish class.
The total number of students in both classes does
not exceed 54. What is the greatest possible
number of students in the Spanish class?
Answer:
Step-by-step explanation:
Givens
Let the number in the Spanish Class = x
Then the number in the Geometry Class = (4/5) x
Equation
x + (4/5)x < 54
Solution
x + (4/5)x < 54
4/5 = 0.8
x + 0.8x < 54
1.8x < 54 Divide both sides by 1.8
1.8x / 1.8 < 54/1.8
x < 30
The sign used in the equation is less than, not less than or equal to.
The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.
Find the product.
(-2 x2 ) 3 ·3 x
Answer: -24x^7
Step-by-step explanation:
pemdas so you do parentheses first therefore getting (2x^2)^3x3x
remove the parentheses
do -8x^6x3x
after that you end up with -24x^7
Simplify (-2x^2) ^3 by raising each term by 3:
-2^3x^6
Now you have
-2^3 x^6 times 3x
-2^3 = -8
x^6 tomes x = x ^7
-8 x 3 = -24
Answer is -24x^7
Solve for x. Round to the nearest tenth, if necessary. Calculating Sin or Cos or Tan
Answer:
1.06
Step-by-step explanation:
cos41⁰ = 0.8 ÷ X
X = 0.8 ÷ cos41⁰
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a right triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
x = Hyp (for this question)
Cos(41) = 0.8 / Hyp
use your algebra skillz
Hyp = 0.8 / Cos(41)
use your calculator to fund Cos(41) into 0.8
Hyp = 1.060010395 (that's all the decimal places my calc would go out to )
x = 1.1 ( rounded to nearest 10th )
If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
Answer:
3
Step-by-step explanation:
We are going to be using cofunction identity cos(90-x)=sin(x).
Apply to either side but not both.
cos(22f − 1) = sin(7f + 4)
sin(90-[22f-1])=sin(7f+4)
90-[22f-1]=7f+4
Distribute
90-22f+1=7f+4
Combine like terms
91-22f=7f+4
Add 22f on both sides
91=29f+4
Subtract 4 on both sides
87=29f
Divide 29 on both sides
3=f
f=3 is between 0 and 90
Answer:
The answer is "3."
Step-by-step explanation:
Just submitted the test and got the answer correct!