Answer:
The car travels 45 miles in one hour.
Step-by-step explanation:
Knowing that one hour is 60 minutes and that the car travels 0.75 miles every minute, you can multiply 60 and 0.75 which gives you 45 miles per hour meaning in one hour the car travels 45 miles.
8.
Describe how the graph of y = |x|- 4 is like the graph of y = |x| and how it is different.
If you open an account that compounds quarterly in 2020. In what year will it double the starting amount if it has an APR of 3.2%
Answer:
It will double in the year 2063
Step-by-step explanation:
Let the amount deposited be $x, when it doubles, the amount becomes $2x
we can use the compound interest formula to know when this will happen
The compound interest formula is as follows;
A = P(1+r/n)^nt
In this question,
A is the amount which is 2 times the principal and this is $2x
P is called the principal and it is the amount deposited which is $x
r is the interest rate which is 3.2% = 3.2/100 = 0.032
n is the number of times compounding takes place per year which is quarterly which equals to 4
t is the number of years which we want to calculate.
Substituting all these into the equation, we have;
2x = x(1+0.032/4)^4t
divide through by x
2 = (1+ 0.008)^4t
2 = (1.008)^4t
we use logarithm here
Take log of both sides
log 2 = log (1.008)^2t
log 2 = 2t log 1.008
2t = log 2/log 1.008
2t = 86.98
t = 86.98/2
t =43.49 which is 43 years approximately
Thus the year the money will double will be 2020 + 43 years = 2063
Please help with this question
answer:
is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!
Answer:
a) 1/(7x-14)
b) 2 (36-y^2)
Step-by-step explanation:
Please let me know if you need explanation
Given PB tangent. PV,PU Secants. If m VU=70 degrees and m ST=30 degrees, then m angle 2=? 20,50,35
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
odysseywar said i got it right
two groups of students order cheeseburgers and chicken nuggets at mcdonald’s. one order of 9 cheeseburgers and 4 chicken nuggets cost $22.37. the other order of 3 cheeseburgers and 4 chicken nuggets cost $15.23. find the cost of a cheeseburger
Answer:
$1.19
Step-by-step explanation:
Let the cost of a cheeseburger be $b and that of a chicken nugget be $n.
From the given information, we can form 2 equations.
9b +4n= 22.37 -----(1)
3b +4n= 15.23 -----(2)
Notice that the 2 equations have '4n' in them. I'll be using elimination method to solve the equation by getting rid of the 4n.
(1) -(2):
9b +4n -(3b +4n)= 22.37 -15.23
9b +4n -3b -4n= 7.14
6b= 7.14 (simplify)
b= 7.14 ÷6 (÷6 on both sides)
b= 1.19
Thus, a cheeseburger cost $1.19.
Answer:
Step-by-step explanation
1.19
Work out the surface area of the solid cuboid. The diagram is not drawn to scale.2cm,4cm and 5cm
The surface area of the solid cuboid is 76 cm²
Calculating the surface area of a cuboidFrom the question, we are to determine the surface area of the cuboid
The surface area of a cuboid is given by the formula,
Surface area = 2(lb + lh + bh)
Where l is the length
b is the breadth
and h is the height
Let
l = 5 cm
b = 4 cm
h = 2cm
Then,
Surface area = 2(5×4 + 5×2 + 4×2)
Surface area = 2(20 + 10 + 8)
Surface area = 2(38)
Surface area = 76 cm²
Hence, the surface area of the solid cuboid is 76 cm²
Learn more on Calculating the surface area here: https://brainly.com/question/26403859
#SPJ1
Please help me with this
Answer:
V of cylinder = V=πr^2h
V of rectangular prism = l*w*h
V of cylinder = 16 * 3.14 * 8
= 401.92
V of rectangular prism = 14 * 8 * 12
= 1344
Add = 401.92 + 1344
= 1,745.92
1,745.92 is the answer.Rounded the answer is CWhich inequality is true
The first one on the left.
The vertical bars mean we take the absolute value of that number.
Absolute value means distance from zero on a number line.
So the absolute value of any number
is the positive version of that number.
So for the one on the left we have |-100| > |50|.
Since absolute value represents the positive version
of a number, the absolute value of -100 will be 100.
Since |50| is already positive, it stays the same.
So we have 100 > 50 which is indeed a true statement.
If you solve the other ones, you will see that they are false.
Answer:
the first one on the left side
Step-by-step explanation:
true or false ? why and why not ?
8a - (8a - 8) is equivalent to 8
Answer:
True
Step-by-step explanation:
Apply the distributive property
8a-(8a)- -8
Multiply 8 by -1
8a-8a- -8
Multiply -1 by -8
8a-8a+8
Simplify by adding terms
Subtract 8a from 8a
0+8
Add 0 and 8
8
Hope this helps :)
The bar graph shows the results of rolling a number cube (die) 50times. What is the experimental probability of rolling each of the number on the number cube?
Column A Column B
1. a. 18%
2. b. 8%
3. c. 22%
4. d. 16%
5. e. 20%
6.
c. 22%
Step-by-step explanation:
sorry for no explanation
The total time that Ken and Bob worked in a week was 63 hours. Ken worked 36 hours. What is the ratio of Bob's working hours to Ken and Bob's total working hours?
Answer:
33
Step-by-step explanation:
beacause you have to minus to find th aspect ratio I beleive.
I need help with this question. What makes 9/4, when you have to divide a number by 4?
Answer:
[tex]9[/tex]
Step-by-step explanation:
[tex]x \div 4=9/4[/tex]
[tex]x=9/4 \times 4[/tex]
[tex]x=36/4[/tex]
[tex]x=9[/tex]
Answer:
9
Step-by-step explanation:
x/4=9/4
x=9 (multiply both sides by 9)
the blueprints at addison circle is a sculpture that took 18,000 worker-hours to construct using over 410,000 pounds of steel. The piece of art is placed within a traffic circle with a diameter of 133 feet. find the area of the circle. Round to the nearest tenth of a square foot.
Answer:
Area = 13,898.5 ft^2
Step-by-step explanation:
Here, we are tasked with calculating the area of the circle given the value of the diameter.
Mathematically, the area of a circle is;
A = pi * d^2/4
Where d here is 133 feet
A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2
Can someone help me with this question ? 10points.
I WILL MARK YOU BRAINLIEST!!!!! HELP PLZZ!!!!
Answer:
The zeros of the function are the numbers when put in the function will make it equal to zero
let y = 0
2x² +5x +2 = 0
(x + 2)(2x + 1) = 0
x = 2 , x = -1/2
The answer is option c.
Step-by-step explanation:
x = 2,x = -1/2
=)))))))))
1. Identify the domain of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A. {0,7,9,17}
B. {0,1,4,8}
2.Identify the range of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A.{0,7,9,17}
B.{0,1,4,8}
Answer:A
Step-by-step explanation: The range are all othe y values (the outputs) in chronological order
Which bar diagram represents the equation 5x + 7.5 = 15?
5X
7.5
15
7.5
5X
15
15
5x
7.5
LO
7.5x
15
Mark this and return
Save and Exit
Next
Answer:
it would be C i took the test
Step-by-step explanation:
Answer:
The answer would be C because i just took the test and got it right hope this helps.
Step-by-step explanation:
The train holds 66 passengers.
It starts out empty.
It picks up 1 passenger at the first station, 2 passengers at the second station, 3
passengers at the third station, and so on.
No one gets off.
After how many stations will the train be full?
Answer:
1,2,3,4,5,6,7,8,9,10,11
3 + 7 + 11 + 15 + 19 + 11
10 + 26 + 19 + 11
55 + 11 = 66
11 stations
Hope this helps
Step-by-step explanation:
Answer:
11 stations.
Step-by-step explanation:
1st stop = 1
2nd stop 1+2=3
3rd stop 3+3=6
4th stop 6+4=10
5th stop 10+5=15
6th stop 15+6=21
7th stop 21+7=28
8th stop 28+8=36
9th stop 36+9=45
10th stop 45+10=55
11th stop 55+11=66
I) CD and EF are parallel lines.
AB is a straight line.
An angle of size 135 degrees is shown.
Write down the letter of one other angle of size 135 degrees given a reason for your answer on the same line.
ii) The size of angle p+q+r =
PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
Enter your answer into the blank equation box.
Answer:
equation in standard form is -3x + 5y = -26
Step-by-step explanation:
standard form of equation of line is
Ax + By = C
where A,B and C are integers.
such line has slope -A/B
Another form of line equation is slope intercept form, which can be written as
y = mx+ c
since in problem m = 3/5
thus, equation is
y = 3/5 x + c
Given that (2,-4) passes through this line, this point will satisfy the above equation
-4 = 3/5 *2 + c
=> - 4 = 6/5 + c
=> c = -4 -6/5 = (-4*5 - 6)/5
=> c = (-20 - 6)/5 = -26/5
Thus, equation in slope intercept form is
y = 3/5 x -26/5
lets rewrite this equation in Ax + By = C
Multiplying LHS and RHS by 5 we have
5y =( 3/5 x)* 5 - (26/5 * 5)
=> 5y = 3x - 26
we have to bring 3x on LHS for that
we subtract 3x from both side
5y -3x = 3x - 26 -3x
=> 5y -3x = - 26
rearranging the equation
-3x + 5y = -26
Thus, equation in standard form is -3x + 5y = -26
Shawna says her mug holds 100 milliliters. She’ll says that the mug holds 1 liter. Is Shelly correct?
Answer:
In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no.
Answer:
no shes wrong it does not hold a liter
Step-by-step explanation:
PLEASE determine the product or quotient:
a) (2x^2)(-4x^5)
b) (36m^2) / (-9nx)
c) -11ab^9b^6 / 5b^3a
Answer:
a ) - 8x^7,
b ) - 4m^2 / nx,
c ) - 11a^2b^18 / 5
Step-by-step explanation:
[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]
To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7
[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]
Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx
[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]
I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.
(PLS HELP WILL MARK BRAINLIEST) Which of these is an approximation of 7/9
to the nearest hundredth?
A) 0.078
B, 0.78
C) 1.29
D) 7.8
Answer:
B
Step-by-step explanation:
7/9 = 0.777777...
This rounds to 0.78
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
35/70*100 = 50 miles
Step-by-step explanation:
Rewrite 6/4 as a percent. Make sure to label your answer with %.
Answer:
to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator
In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four winners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?
a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners
( if your doing this can you please do it step by step )
Answer:
b) 15 winners
Step-by-step explanation
if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.
(2,160,000/ 144,000)
Could someone help me out
Answer:
−10d^4+17d^2s−6s^2
Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie's explanation? Kylie is correct. Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly. Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly. Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.
Answer:
Given:
Step-by-step explanation:
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.
C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Pls help me. I need this done ASAP thank you :)
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
So she has 14 shirts in all. There are 10 colored shirts.
[tex]\frac{10}{14} =\frac{5}{7}[/tex]
answer 5 /7
hi there are fourteen shirts and the more shirts the less of a possiblility
Step-by-step explanation:
if you want a percentage its 7.14 %
i hope i helped if you need help with any thing else please tell me :)
please mark as brainliest
A classroom will be assembled so that the desks fit within an area that is 8 m by 12 m. The desks will be surrounded by a border that will be the same width on all sides of the rectangular room, to
allow for walking space. The area of the border will equal 20% of the area of the space that the desks
occupy. What is the width of the border, to the nearest hundredth of a meter?
Answer:
0.46 m
Step-by-step explanation:
area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2
20% of this area is 20% * 96 m^2 = 19.2 m^2
The area of the border is 19.2 m^2.
Let the path around the desks have width x.
The area of desks plus path is a rectangle 2x + 8 by 2x + 12.
area of desks plus path = (2x + 8)(2x + 12)
= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96
The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.
area of border = (4x^2 + 40x + 96) - (96) =
= 4x^2 + 40x
Above, we have the area of border = 19.2, so we get this equation:
4x^2 + 40x = 19.2
4x^2 + 40x - 19.2 = 0
x^2 + 10x - 4.8 = 0
We now use the quadratic formula to solve the equation for x.
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} [/tex]
[tex] x = \dfrac{-10 \pm \sqrt{119.2 )}{2} [/tex]
[tex] x = 0.46 [/tex] or [tex] x = -10.46 [/tex]
We discard the negative solution.
Answer: the border is 0.46 m wide.
