Answer:
21 minutes
Step-by-step explanation:
Given the following :
Taking CITY STREET:
Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours
Speed of travel = 30 miles per hour
Taking FREEWAY:
speed of travel = 65miles per hour
If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :
.
Distance to bowling alley taking city center :
Speed = distance / time
30 mph = distance / 0.75 hour
Distance = 30 × 0. 75 = 22.5 miles
Since distance is the same :
Time taken along FREEWAY :
Time taken = distance / speed
Time taken = 22.5 / 65 = 0.3461538 hour
Converting to minutes :
0.3461538 × 60 = 20.769 minutes
= 21 minutes ( to the nearest minute)
The mean of four numbers is 70. When a fifth number is included, the mean of the five numbers is 80. What is the fifth number?
=============================================
Explanation:
S = sum of the first four values
S/4 = 70 since we divide the sum by 4 to get the mean of the first four values
S = 280 is the result after multiplying both sides by 4
Let x be the fifth unknown value. Adding it onto S leads to S+x = 280+x. This represents the sum of all five values.
Dividing that sum 280+x over 5 leads to the new mean 80, which leads to...
----------
(280+x)/5 = 80
280+x = 5*80
x+280 = 400
x = 400-280
x = 120
The fifth number is 120
The fifth number is 120
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the four numbers be = a , b , c , d
Let the fifth number be = e
Now , the mean of 4 numbers is m = 70
So , the equation will be
( a + b + c + d ) / 4 = 70
Multiply by 4 on both sides , we get
a + b + c + d = 280 be equation (1)
Now , the mean of 5 numbers is m = 80
So , the equation will be
( a + b + c + d + e ) / 5 = 80
Multiply by 5 , we get
a + b + c + d + e = 400 be equation (2)
Substitute the value of equation (1) in equation (2) , we get
a + b + c + d + e = 400
280 + e = 400
Subtracting 280 on both sides , we get
e = 400 - 280
e = 120
Therefore , the value of e is 120
Hence , The fifth number is 120
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Convert the repeating decimal below into a fraction. - 0.6
Answer:
2/3
Step-by-step explanation
(6 times 10)-0
___________
9
6/9= 2/3
30. When asked his age, the algebra teacher said, "If you
square my age, then subtract 23 times my age, the
result is 50. How old is be?
F. 23
G. 25
H. 27
J. 46
K. 50
Answer:
25 years old
Step-by-step explanation:
Let the teacher's age be a.
Then:
a^2 - 23a = 50
In standard form, this quadratic is
x^2 - 23a - 50 = 0
Factoring this, we get (x - 25)(x + 2) = 0
So a is either 25 or a is -2. Only a = 25 is relevant here.
The teacher is 25 years old (Answer G)
Norah's hours worked and corresponding total earnings are shown in the
graph. What would Norah's total earnings be if she worked 11 hours? Hint:
What is her hourly rate?
Total earnings
40
30
20
10
4
0
3
Hours worked
A. $440
B. $110
Ο Ο Ο Ο
C. $220
D. $330
Answer:
B
Step-by-step explanation:
Answer:
$110
Step-by-step explanation:
APEX
Select all the scalars
A. Distance
b.displacement
C.speed
D.velocity
Please help ASAP please answer please !!⬆️
Answer:
A, B, C
Step-by-step explanation:
Velocity is the only option that has both distanace and direction.
Please help 30 points!!!!!!! Convert 45.25 mL into ft3.
This on the web one-way conversion tool converts volume or capacity units from milliliters ( ml ) into cubic feet ( ft 3 , cu ft ) instantly online. 1 milliliter ( ml ) = 0.000035 cubic feet ( ft 3 , cu ft ). How many cubic feet ( ft 3 , cu ft ) are in 1 milliliter ( 1 ml )? How much of volume or capacity from milliliters to cubic feet, ml to ft<sup>3</sup> , cu ft?
hope this helps!
Someone please help me with this geometry proof question ASAP!
Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
Ashley rolls a die, flips a corner, and then roll the die again. What is the probability that he will roll to our numbers And that the coin will land on heads?
Answer:
1/72
Step-by-step explanation:
Given that Ashley rolls a die, flips a corner, and then roll the die again.
Since he rolls a die two times, the number of total possible outcomes for each roll will be equal to 6
Also, the number of possible outcomes for a coin will be equal to 2
What is the probability that he will roll to our numbers And that the coin will land on heads
The probability will be
1/6 ×1/6 × 1/2 = 1/72
Simplify this equation 2x³y³/4y²
Find the perimeter of each polygon created by the coordinates.
A(-2, 3), B(3, 1), C(-2, -1), D(-3, 1)
a) 16.7
b) 14
c) 15.2
what is the standerd form of number shown in this calculater display. 1.46e-6
Answer:
scientific notation
Step-by-step explanation:
This number is shown in scientific notation.
Answer:
0.00000146
Step-by-step explanation:
I took the test
Can you pls help me solve this?
Answer:
x=−9
Step-by-step explanation:
i hope this helps you
Answer:
x=-9
Step-by-step explanation:
Subtracting 53 from both sides, you get -2/3x=6.
-9*2/3x=6
x=-9
smbdy plssss I'll give 35 points
An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
Answer:
Step-by-step explanation:
sum of ratio=6+4+3=13
let the total price of houses=x
then
[tex]\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000[/tex]
what quadrant would (0,4) be in
Answer:
Step-by-step explanation:
Answer:
the answer is
36(thirty six)
. Sonya buys four pairs of shoes on
sale for buy one, get one 50% off.
The sales tax is 6.5%. If the
original price for each pair of shoes
was $35, how much does Sonya
pay for the four pairs altogether?
A. $74.55
B. $105.00
C. $111.83
D. $149.10
________________
Answer:
c
Step-by-step explanation:
35/2=17.5 *2= 35+35+35= 105
6.5% of 105 is 6.83, so 105+ 6.83= 111.83
7. The island is rich with hot chili peppers. You can collect 1.6 pecks a day. How many liters could you collect in 1 week?
The required liters of hot chili papers collected in a week is 98.56 liters.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
1 peck = 8.8 liters
1.6 peck = 8.8 × 1.6 liters
1.6 pecks = 14.08 liters
So, in 1-week liter that could be collected is given as,
⇒ 14.08 × 7 [1 week = 7 days]
⇒ 98.56 liters
Thus, the required liters of hot chili papers collected in a week is 98.56 liters.
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Find the value of X in this equation.
g=c+x
the angle of elevation of a jet plane from a point P on the ground is 60 degree after a flight of 15 seconds the angle of elevation changes to 30 degree if the jet plane is flying at a constant height of 1500 root 3 metre find the speed of the jet plane
Answer:
200m/s
Step-by-step explanation:
Please see the attached pictures for full solution.
If 8b-9=b then 7b=?
Please answer if you can!
Also it’s NOT 1.5
Answer:
9 is your answer.
Step-by-step explanation:
Solve for b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 9 to both sides:
8b - 9 (+9) = b (+9)
8b = b + 9
Next, subtract b from both sides:
8b (-b) = b (-b) + 9
8b - b = 9
7b = 9
Divide 7 from both sides:
(7b)/7 = (9)/7
b = 9/7
Plug in 9/7 for b in the equation given:
7(b) = 7(9/7) = 9
9 is your answer.
~
What are the roots of the equation 4x^2 + 16x + 25 = 0 in simplest a + bi form?
Answer:-2 + 3i/2, and -2-3i/2
Step-by-step explanation:
Apply the quadratic formula.
We have (-16 +-sqrt(16^2-4*4*25))/8.
Simplifying, we have (-16+-12i)/8.
Thus, the roots are -2 + 3i/2, and -2-3i/2
Answer:
The roots are
[tex]x = - 2 + \frac{3}{2} \: i \: \: \: \: or \: \: \: \: x = - 2 - \frac{3}{2} \: i \\ [/tex]Step-by-step explanation:
4x² + 16x + 25 = 0
Using the quadratic formula
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 4 , b = 16 , c = 25
Substitute the values into the above formula and solve
We have
[tex]x = \frac{ - 16\pm \sqrt{ {16}^{2} - 4(4)(25)} }{2(4)} \\ x = \frac{ - 16\pm \sqrt{256 - 400} }{8} \\ x = \frac{ - 16\pm \sqrt{ - 144} }{8} \\ x = \frac{ - 16\pm12 \: i}{8} \\ [/tex]Separate the real and imaginary parts
That's
[tex]x = \frac{ - 16}{8} \pm \frac{12}{8} \: i \\ x = - 2\pm \frac{3}{2} i[/tex]We have the final answer as
[tex]x = - 2 + \frac{3}{2} \: i \: \: \: \: or \: \: \: \: x = - 2 - \frac{3}{2} \: i \\ [/tex]Hope this helps you
Which quadrilateral is the result of rotating quadrilateral ABCD 270° clockwise about the origin
Answer:
2
Step-by-step explanation:
Answer:
your awnser would be C
Step-by-step explanation:
18x + 3y = -21 slope intercept form
Answer: y=-6x-7
Step-by-step explanation:
Slope-intercept form is y=mx+b. This means, we want to isolate y.
18x+3y=-21 [subtract both sides by 18x]
3y=-18x-21 [divide both sides by 3]
y=-6x-7
Now, our equation is in slope-intercept form.
Help meeeee !!!!!!!!!
Answer:
3n²+3n-60
Step-by-step explanation:
Area of rectangle= L*W
A=3(n-1)(n+2)
A=3(n²+n-2)
A=3n²+3n-6
54=3n²+3n-6
3n²+3n-6-54=0
3n²+3n-60=0
Answer:
3, 3, - 60
Step-by-step explanation:
Area = lw
Therefore 54=(3n-3)(n+2)
Expand and we get:
3n^2+6n-3n - 6=54
Combine terms and move 54 to left side:
3n^2+3n-60
Hope this helped!
8x + 4 = 3 (x-1) + 7'
it it is 30 little one
Is the expression 5 + 3x 2always equal to the expression 4x? Explain your answer.
HELP PLZ!!! A, B, C,or D.
Answer:
D
Step-by-step explanation:
what is 1xy+3x-(23y+3)
Answer:
[tex]xy+3x-23y-3[/tex]
Step-by-step explanation:
[tex]1xy+3x-(23y+3)\\[/tex]
Multiply ; 1× x =x
[tex]=xy+3x-\left(23y+3\right)\\[/tex]
Use - to open the bracket
[tex]-\left(23y+3\right):\quad -23y-3\\\\=xy+3x-23y-3[/tex]
Help me find the slope please
Two forces are given by j = (-2,1] and K = (-5,3), in
Newtons. What is the magnitude of j+k ?
A. [-7,4]
B. 8.06
C. 8.56
D. 11
help me with this, please
Answer:
Correct Answer: Option A
Step-by-step explanation:
cos(x + 25o) = sin 45o
using cos θ = sin(90 - θ)
cos(x + 25o) = cos(90 - 45)
cos(x + 25o) = cos 45
x + 25 = 45
x = 45 - 25
x = 20o
Hope it helps ♡＾▽＾♡