Step-by-step explanation:
Distance between Train 1 and Train 2=95 miles
Avg speed Train 1 = 45mph, avg speed Train 2=60mph
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?
:
Let t = travel time (in hrs) until they are opposite each other
:
Like the hint said, when this happens the total distance traveled by both trains will be 95 mi.
:
write a distance equation from this fact: Dist = speed * time
;
Train 1 dist + train 2 dist = 95 mi
45t + 60t = 95
:
105t = 95
t = 95%2F105
t = .90476 hrs
or
.90476 * 60 = 54.3 min
:
:
Check solution by finding the total of the distances the two train travel
45(.90476) + 60(.90476) =
40.7 + 54.3 = 95 mi
Which of these figures has rotational symmetry?
Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The correct option is D.
What is Rotational Symmetry?
Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.
Since for the rotational symmetry, the figure should look the same even if the figure is rotated. Thus, the figure that has a rotational symmetry is a rhombus. Hence, the correct option is D.
Learn more about Rotational Symmetry:
https://brainly.com/question/1531736
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find the value of X in the triangle
Two sides of the triangle are the same length, so the two angles of the long side are identical.
The three inside angles total 180, so the sum of the 2 identical angles would equal: 180-70 = 110
x is one of those angles. X = 110/2 = 55 degrees.
X = 55
How is the future value of $500 invested for one year at 6% annual interest computed?
If you put $500 in a bank with a 6% investment rate (which is rather high honestly) then next year you would have $530 in the bank, then 561.80 and so on. I feel like I misunderstood the question, but hopefully this helps, if at all.
May I have brainliest please? :)
Sara bought a pen at 25$ and sold it for $30. She then bought the same pen back at $35 and sold it again for $40. Did she make or lose money from these two deals in the end.
Answer:
honestly if u ask me ima have to say she lost some money cause
Step-by-step explanation:
she got it for 25 right then she got an exstra 5 dollars cause she sold it
for 30 then she got the same pen for 35 when she got it for 25 the first time so 25-35 = 10 meaning she lost 10 dollars and got 10 dollars back because if u add the 5 dollars from the 30 then from the 40 u get ten meaning
she just got her money right back
Are the lines x− 2y= 4 and y= 2x − 2 parallel, perpendicular, or neither? Explain your answer. [ Select ] ; their [ Select ] [ Select ] the same and [ Select ] receiprocals.
Answer:
Neither.
Step-by-step explanation:
First we alter the first equation to match the second.
x - 2y = 4
2y = x - 4
y = x/2 - 2.
Next we compare the slopes
2x = 2
x/2 = 1/2
Their slopes are reciprocals, but they aren't opposites. Therefore they are neither parallel nor perpendicular.
Tyler had $25 in his bank account. Saving up for a new bike, he made
three deposits of $32 each. What was the total amount of money in
his account after making the three deposits?
HELPP PLEASE
I need help pls and explain
Answer:
C. 29
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
1/4(d - 2) = 6
Step 2: Solve for d
Multiply 4 on both sides: d - 2 = 24Add 2 to both sides: d = 26Step 3: Find
Define condition: d + 3Substitute in d: 26 + 3Add: 29Write an equation of the line that passes through a pair of points:
(4-5. - 2), (3-1)
a. y = 1/8x+11/8
b. y = 1/8x-11/8
c. y = -1/8×11/8
d. y = 1/8x+8/11
Please select the best answer from the choices provided A OB
Answer:
b)
The equation of the line that passes through a pair of points
[tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]
Step-by-step explanation:
Explanation:-
Given points are ( 5 ,-2) and ( 3,-1)
slope of the line
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{-1-(-2)}{-3-(5)} = \frac{1}{-8}[/tex]
The equation of the line that passes through a pair of points
[tex]y - y_{1} = m ( x - x_{1} )[/tex]
[tex]y - (-2) = \frac{-1}{8} ( x - (5) )[/tex]
[tex]y = \frac{-1}{8} ( x ) +\frac{5}{8} -2[/tex]
[tex]y = \frac{-1}{8} ( x ) +\frac{5-16}{8}[/tex]
[tex]y = \frac{-1}{8} ( x ) -\frac{11}{8}[/tex]
If 3/5 of a cup of water fills 3/4 of a plastic container, how many containers could you fill with one cup of water?
Answer:
3/5 cup of water = 3/4 of container
1 cup of water = 3/4 * 5/3 of container
= 5/4 of container
Answer:
Step-by-step explanation:
ok so first you have to make equalt denominaters
3/5 = 12/20
3/4 = 15/20
so you can fill one and 3/20 with one full glass of water.
What is 4/6 x 12/28 in simplest form
Answer:
2/7
Step-by-step explanation:
Answer:
2/7
Step-by-step explanation:
4) Highlight Time Eemaining 00:05:47 Hide Tools Find the domain and range of the graphed function. -) A) domain: (-0,00) range (co, 0) B) domain: (-00,00) range (-0, 10] domain: (-00,00) range: [0, 0) D) domain: (-3, 4) range: (-0,0) Activat Go to Set
Answer:
Option A
Step-by-step explanation:
Domain of a function is a set of x-values (input values).
Range of a function is a set of y-values (output values).
Since, input and output values of the function given in the graph vary from negative infinity to positive infinity
Domain of the function given in the graph will be,
(-∞, ∞)
And range of the function is,
(-∞, ∞)
Option (A) will be the correct option.
Set up an integral of the form
dc h2(y) h1(y) f(x,y) dx dy
for the volume of the region enclosed by the surfaces z = 2 - x2 - y2 and z = 2x + 2y. What is h2(0)+f(0,0)?
A. 5.
B. 13 + 2.
C. V2+1.
D. V3+1.
E. V2 + 2.
Answer:
Option D.
[tex]\mathbf{\sqrt{3}} +1}[/tex]
Step-by-step explanation:
The given integral is:
[tex]\int^d_c \int ^{h_2(y)}_{h_1(y)} f(x,y)\ dx \ dy[/tex]
The intersection curves enclosed by the surfaces:
z = 2 - x² - y² and z = 2x + 2y
This implies that:
[tex]2x +2y = 2 - x^2- y^2[/tex]
[tex](x^2 + 2x) +(y^2 + 2y) = 2 \\ \\ (x+1)^2 + (y + 1)^2 = 4 --- (1)[/tex]
We will realize that the curve of this intersection is a circle which is centered at (-1, -1) of the radius 2.
So, from equation (1)
[tex](x + 1)^2 = 4 - (y + 1)^2[/tex]
x + 1 = ±[tex]\sqrt{4 - (y + 1)^2}[/tex]
[tex]x = -1 \pm \sqrt{4 - (y+1)^2}[/tex]
Now,
[tex]h_2 (y) = -1 + \sqrt{4 - (y +1)^2}[/tex] and [tex]h_1 (y) = -1 - \sqrt{4 - (y +1)^2}[/tex]
[tex]h_2(0) = -1 + \sqrt{4-1}[/tex]
[tex]h_2(0) = -1 + \sqrt{3}[/tex], and:
[tex]At \ \ (-1, -1); \\ \\ z = 2 - (-1)^2 - (-1)^2 \\ \\ z = 2 - 1 - 1 \\ \\ z = 0[/tex]
and
[tex]z = 2x + 2y \\ \\ z = 2(-1) + 2 (-1) \\ \\ z = -2 + (-2) \\ \\ z = -4[/tex]
The surface z = 2-x²-y² lies above z = 2x + 2y in the region of intersection
∴
[tex]f(x,y) = (2 - x^2 - y^2) - (2x + 2y) \\ \\ f(0,0) = 2 - 0 \\ \\ f(0,0) = 2[/tex]
So, h₂ (0) + f(0,0) = [tex]\sqrt{3}} - 1 + 2[/tex]
h₂ (0) + f(0,0) = [tex]\mathbf{\sqrt{3}} +1}[/tex]
What is the number that has a value 10 times the value of 0.009?
Answer:
0.09?
Step-by-step explanation:
0.009 x 10 is 0.09
Answer:
multiply 0.09 by 10 and that'd equal 0.09. A number 10 times greater then 0.009 is 0.09.
Step-by-step explanation:
What type of angles are between the parallel lines, but different side of the transversal
Answer:
Alternate interior angles
Step-by-step explanation:
Write the product in its simplest form:
9c4.9c8
Enter the correct answer.
OOH
DONE
Clear all
?
Step-by-step explanation:
9c⁴ * 9c⁸
= 9 * 9 * c⁴ * c⁸
= (81)(c¹²)
= 81c¹²
Note: a^m * a^n = a^(m+n) by Law of Indices.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Today's cafeteria specials at a high school in Ashland are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 14 turkey sandwiches and 61 chef salads, for a total of $150. During the late lunch, 14 turkey sandwiches and 25 chef salads were sold, for a total of $78. How much does each item cost? A turkey sandwich costs $ , and a chef salad costs $ .
Answer:
Equation 1: 14t + 61s = 150
Equation 2: 14t + 25s = 78
Use Elimination (x)
(-1) (14t + 25s) = (78) (-1)
-14t - 25s = -78
14t + 61s = 150
+ -14t - 25s = -78
--------------------------
36s = 72
s = 2
Salad costs $2
Then find t
14t + 61(2) = 150
14t + 122 = 150
14t = 28
t = 2
Sandwich costs $2
Which of the following brands of hat should she buy ?
Answer:
C. Either- The hats have equal volumes
One teaspoon equals 0.5 centiliters. How many liters equal 50 teaspoons? Round the answer to the nearest hundredth. 0.25 liters 0.50 liters 25 liters 50 liters
Answer:
Your answer is 0.25
Step-by-step explanation:
Dont give me the brainiest give the other person the brainiest
rewrite the expression in the form a^n. (a^5)^2
Given that,
The expression is [tex](a^5)^2[/tex].
To find,
Rewrite the expression in the form of [tex]a^n[/tex].
Solution,
We have, [tex](a^5)^2[/tex].
We can use the property of exponent as follows :
[tex](a^m)^n=a^{mn}[/tex]
Here, m = 5 and n = 2
[tex](a^5)^2=a^{5\times 2}\\\\=a^{10}[/tex]
Hence, the final answer is [tex]a^{10}[/tex] where n = 10.
Need the answer, please!
Answer:
a) Red marble: 6/17
b) Green marble: 11/17
c) Purple marble : 0/17 = 0
d) a red or a green marble: 1
Step-by-step explanation:
Number of marbles: 17
Probability to pick one red marble: (# successes) / (# total) = 6/17
Probability to pick a green marble: (# successes) / (# total) = 11/17
Probability to pick a purple marble: (# successes) / (# total) = 0/17 = 0
Probability to pick a green marble or a red marble: Prob one green + prob one red = 11/17 + 6/17 = 17/17 = 1
What is the simplified form of this expression 3x+4+5x+3
The simplified form of the given expression is 8x+7
Simplifying an ExpressionFrom the question, we are to write the simplified form of the given expression
The given expression is
3x+4+5x+3
Collect like terms3x+5x+4+3
Simplifying (Add the like terms together)8x+7
Hence, the simplified form of the expression is 8x+7
Learn more on Simplifying an expression here: https://brainly.com/question/723406
SPJ2
On holidays three friends decided to buy a Christmas tree for $96. They made a cash contribution of 3: 5: 8. The two friends who invested less decided to return the third friend's money so that their cash contributions became the same. What is the ratio of the money returned by the first person to the money returned by the second person
Answer: 7:1
Step-by-step explanation:
First off, we see that the contribution was divided into 16 parts (8+5+3). If the tree was $96, 96/16 = $6, so each individual part was $6.
First Person: 3(6) = $18
Second Person: 5(6) = $30
Third Person: 8(6) = $48
We know that after the two friends return the money, the $96 will have been split evenly between all three of them.
96/3 = 32 - each person pays $32 total
Because each person has to pay $32 total, the first person must return $14 and the second person must return $2. This means that the ratio is 14:2 which can be reduced to 7:1.
Person 1: 32-18 = 14
Person 2: 32-30 = 2
Person 3: 48-14-2 = 32. - check to see if we were correct, which we are because after two friends pay 3rd back, their total is also 32 dollars.
What is the answer to -12=x+8divided by -3
[tex] - 12 = x + \frac{8}{ - 3} [/tex]
[tex] - 12 - ( \frac{8}{ - 3} ) = x[/tex]
[tex] - 12 - \frac{8}{3} = x[/tex]
[tex] \frac{ - 36}{3} - \frac{8}{3} = x[/tex]
[tex] \frac{ - 36 - 8}{3} = x[/tex]
[tex] \frac{44}{3} = x[/tex]
The sugar company produced 6,236,854,265 sugar cubes last month. This month the company produced 7,771,635,486 sugar cubes. What number sentence best represents how to find the total estimate of sugar cubes produced?
A. 6,000,000,000 + 7,000,000,000
B. 6,000,000,000 + 8,000,000,000
C. 7,000,000,000 + 7,000,000,000
D. 7,000,000,000 + 8,000,000,000
Answer:
the answer is c becaus it id the longes tone
Step-by-step explanation:
Answer:
I believe the answer is B.
sorry if i'm wrong .-.
Step-by-step explanation:
Determine any data values that are missing from the table, assuming that the data represent a linear function.
a. Missing x:13 Missing y:20
b. Missing x:13 Missing y:19
c. Missing x:11 Missing y:20
d. Missing x:11 Missing y:19
Answer:
d. Missing x:11 Missing y:19Step-by-step explanation:
It can be determined that the function is:
y = 0.5x + 12.5So missing x is:
18 = 0.5x + 12.5 ⇒ 0.5x = 5.5 ⇒ x = 11Missing y is:
y = 13*0.5 + 12.5 = 19Missing numbers are:
x= 11 and y = 19Correct choice is d.
FIRST METHOD
Answer:
Missing x = 11Missing y = 19Step-by-step explanation:
Given the table
x y
7 16
9 17
Missing x 18
13 Missing y
From the table, it is clear that y-values are incremented by 1 unit and the x-values are incremented by 2 units.
i.e.
y = 17-16 = 1
y = 18-17 = 1
as 19-18 = 1
Thus,
Thus, the value of Missing y = 19
also the x-values increment by 2.
i.e.
x = 9-7 = 2
as x = 11 - 9 = 2
Thus, Missing x = 11
Therefore,
Missing x = 11Missing y = 192ND METHOD
Given that the table represents a linear function, so the function is a straight line.
Taking two points
(7, 16)(9, 17)Finding the slope between (7, 16) and (9, 17)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(7,\:16\right),\:\left(x_2,\:y_2\right)=\left(9,\:17\right)[/tex]
[tex]m=\frac{17-16}{9-7}[/tex]
[tex]m=\frac{1}{2}[/tex]
Using the point-slope form to determine the linear equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 1/2 and the point (7, 16)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-16=\frac{1}{2}\left(x-7\right)[/tex]
Add 16 to both sides
[tex]y-16+16=\frac{1}{2}\left(x-7\right)+16[/tex]
[tex]y=\frac{1}{2}x+\frac{25}{2}[/tex]
Thus, the equation of the linear equation is:
[tex]y=\frac{1}{2}x+\frac{25}{2}[/tex]
Now substituting y = 18 in the equation
[tex]18=\frac{1}{2}x+\frac{25}{2}[/tex]
Switch sides
[tex]\frac{1}{2}x+\frac{25}{2}=18[/tex]
subtract 25/2 from both sides
[tex]\frac{1}{2}x+\frac{25}{2}-\frac{25}{2}=18-\frac{25}{2}[/tex]
[tex]\frac{1}{2}x=\frac{11}{2}[/tex]
[tex]x=11[/tex]
Thus, the value of missing x = 11 when y = 18
Now substituting x = 13 in the equation
[tex]y=\frac{1}{2}\left(13\right)+\frac{25}{2}[/tex]
[tex]y=\frac{13}{2}+\frac{25}{2}[/tex]
[tex]y=\frac{13+25}{2}[/tex]
[tex]y=\frac{38}{2}[/tex]
[tex]y = 19[/tex]
Thus, the value of missing y = 19 when x = 13
Hence, we conclude that:
The value of missing x = 11The value of missing y = 19Hence, option D is true.
Find the equation of a line, in slope-intercept form, that is parallel to y = 3x + 5, and passes through (5, 11)
Answer:
y=3x-4
Step-by-step explanation:
12+(8divided by 2/3)- 2
Answer:
22
Step-by-step explanation:
12+(8/(2/3)-2
22
Answer:
22
Step-by-step explanation:
First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.
PLEASE PLEASE HELP ME. PLEASE
Answer:
x ≈ 8.6 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = 35°
Opposite Leg = x
Hypotenuse = 15
Step 2: Solve for x
Substitute [Sine]: sin35° = x/15Isolate x: 15sin35° = xRewrite: x = 15sin35°Evaluate: x = 8.60365Round: x ≈ 8.6What integer gaining 3 pounds plz tell me
Answer:
i was about to answer but i forgot sorry
Step-by-step explanation:
d. One holding pen uses 500 feet of fence
wire and 100 feet of tie wire. A farmer
uses a combined length of 1,000 yards of
wire. What length of tie wire was used?
Help me
9514 1404 393
Answer:
500 ft or 166 2/3 yards
Step-by-step explanation:
The tie wire is (100)/(100 +500) = 1/6 of the total length of wire used. If 1000 yards of wire is used, 1/6 of that amount can be expected to be tie wire. That is ...
(1000 yd)/6 = 166 2/3 yd = 500 ft