Answer:
5 hourss
Step-by-step explanation:
197-32= 165
165/33
Answer:
5 hours
Step-by-step explanation:
Ralph earned $197 in total but with an initial fee of $32 so,
197 - 32 = 165
$165 is the amount he made from the hourly fee alone. So let's divide the total by the hourly fee.
165 ÷ 33 = 5.
So the job took 5 hours.
An elevator in an office building made the following moves: Up 7 floors, down 14 floors, up 6 floors, down 2 floors, up 9 floors, down 5 floors. If the elevator stopped on the 54th floor, what floor did it start on?
Answer:
It started on the 55th floor.
Step-by-step explanation:
We can work backwards from the 54th floor. Since we are working backwards, if the elevator goes up, we will subtract and if it goes down, we will add. Starting with 54, we get 54 + 5 = 59, then 59 - 9 = 50, then 50 + 2 = 52, then 52 - 6 = 48, then 48 + 14 = 62, then 62 - 7 = 55.
Solve the following
equation
85= -5(1 - 2n)
n=12
n = 15
n = -15
n=-8
Answer:
n = 9
Step-by-step explanation:
Step 1: Solve the equation
85 = -5 + 10n
90 = 10n
n = 9
Therefore n is equal to 9
What is the value of 9 packs of Sweets if one pack of sweet cost Rs 120.5?
Answer:
[tex]\boxed{Rs 1084.5}[/tex]
Step-by-step explanation:
One pack = Rs 120.5
→ Multiply both the brackets and price by 9
9 packets = Rs 1084.5
Answer:
[tex] \boxed{ \bold{ \mathsf { \boxed{ \: Rs \: 1084.5}}}}[/tex]Step-by-step explanation:
Cost of one pack of sweets = Rs 120.5
Cost of 9 packs of sweets = ?
Finding the cost of 9 packs of sweets
Since, the cost of 9 packs of sweets is more than that is 1 pack of sweet. So, the cost of 1 pack of sweet is multiplied by 9 ( i.e 120.5 × 9 )
⇒ Rs 1084.5
Hope I helped!
Best regards!!
The entire graph of the function f is shown in the figure below. Write the domain and range of f using interval notation?
========================================================
Explanation:
The domain is the set of allowed x values. In terms of a graph, we look at the left most point to see that x = -5 is the smallest x value possible. However, there's an open hole at this endpoint, so -5 itself is actually not part of the domain. So x must be larger than -5. At the same time, x can be as large as x = 3. Look at the very right tip of the graph to find this x value.
So x spans from -5 to 3, excluding -5 but including 3. We would write [tex]-5 < x \le 3[/tex] which converts to the interval notation (-5, 3]. Note the mix of curved parenthesis and square bracket. The curved parenthesis means to exclude the endpoint, while the square bracket means include the endpoint.
-----------
The range is the set of possible y outputs. Find out the lowest point of the graph. That is when y = -4 and this value is included due to the filled in circle at the endpoint. But we do not include the largest y value y = 5 as there's an open hole at this endpoint.
So the range is the set of y values such that [tex]-4 \le y < 5[/tex] which in interval notation would be written as [-4, 5)
-----------
So in short, you're looking for the min and max of x and y to get the domain and range respectively. Be sure to exclude any values where there are open holes as those do not count as part of the graph.
For a given function f(x), we define the domain as the set of the possible inputs for that function.
Here we will see that the domain is (-5, 3]
So, to find the domain by looking at a graph, we need to see the smallest x-value and the largest x-value.
In the graph, at the left, we can see that we have a white dot at x = -5
This means that the point itself does not belong to the domain, so here we need to use an open interval symbol, which is (
Then at the moment, we have:
domain = (-5
Now if we look at the right side, we can see that we have a black dot at x = 3.
This means that the value x = 3 belongs to the domain, so here we need to use the close symbol ].
Then the domain will be:
(-5, 3]
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can i get the answer for number 16
Answer:
25
Step-by-step explanation:
For each problem, the two numbers on the left are perfect squares. The number in the upper right is the square of the difference between the two numbers on the left. The number on the bottom right is equal to the number on the upper right plus the number on the upper left.
For problem 16, we know that the square of the difference between 36 and the missing number is 121. The square root of 121 is 11, so the missing number is 36 - 11 = 25 which fits the pattern because it is also a perfect square.
(Also if you look at problem 15, it basically gives you the answer to problem 16.)
Answer:
See below
Step-by-step explanation:
The upper left box and the bottom left box are being subtracted. When the result is obtained we square it and the squared answer is written in the top right box. After that , the squared answer and the top left answer are added to get the bottom left answer.
See the attached file.
2% Of A=3% OF B = 4% of c then A:B:C: is?
Answer:
6:4:3.....................
The ratio between A, B, and C is 6:4:3.
To determine the ratio between A, B, and C based on the given information, we can set up the following equations:
2% of A = 3% of B
4% of C = 3% of B
Let's solve for the variables and find the ratio:
First equation: 2% of A = 3% of B
0.02A = 0.03B
A/B = 0.03/0.02
A/B = 1.5
Second equation: 4% of C = 3% of B
0.04C = 0.03B
C/B = 0.03/0.04
C/B = 0.75
Now, let's express the ratio A:B:C based on the ratios we found:
A:B = 1.5:1
B:C = 1:0.75
To obtain a common ratio, we can multiply both ratios by 4:
A:B = 6:4
B:C = 4:3
Combining these ratios, we have:
A:B:C = 6:4:3
Therefore, the ratio between A, B, and C is 6:4:3.
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Solve the following equation.
Round to the nearest TENTH
-3.7 - 9.7x = 7x – 5.2
Answer:
x=0.1
Step-by-step explanation:
-3.7-9.7x=7x-5.2
-3.7+5.2=7x+9.7x
1.5=16.7x
x=0.08982
x=0.1
Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute
Answer:
2 ft/min
Step-by-step explanation:
Given that :
Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute?
Time taken it wall down the path = 4 minutes
Rate of change of elevation is the same
Distance = 8 Feets
Therefore, change in elevation per minute :
Distance dropped / time taken to drop that distance
8 Feets / 4 minutes
2 Feets / minute
Change in elevation = 2 Feets per minute
If the line L has a slop of 0, which of the following could be the graph for L?
Answer:
Graph A
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Since we are dealing with a slope of zero, we replace m with 0:
y = 0x + b
y = b
Here, we see that we would have a horizontal line. Therefore, graph A would be our answer.
Answer:
A
Step-by-step explanation:
A slope of zero is a horizontal line, because it does not change vertically
A would be the graph of a line with a slope of zero
Solve for x
-2x+2-7x= -70
Answer:
x=8
Step-by-step explanation:
-2x+2-7x=-70
Minus two from each side.
-2x-7x=-72
Combine like terms.
-9x=-72
Divide -9 from each side.
x=8
The table represents the total miles traveled, y, after a number of hours, x.
Hours, x
Miles, y
2.5
150
4.0
240
5.5
330
7.0
420
Which linear equation represents the situation?
y = 60 x
y = 60 x + 480
y = 4 x + 240
y = 270 x
Answer: Y=60x
Step-by-step explanation:
find the slope (Y2-Y1)/(X2-X1)
(240-150)/4-2.5)
90/1.5 =60
It's multiple choice so it can only be a or b. If you do 60 x 2.5 you get 150 so there's no way you will add 480 so you are done it's A. If it's not a multiple choice question then you would do the who y=mx+b and plug in x, y and m and then find the b which in this case would be 0.
Answer:
(2.5,150)(4,240)
slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60
y = mx + b
slope(m) = 60
(4,240)...x = 4 and y = 240
now we sub and find b, the y int
240 = 60(4) + b
240 = 240 + b
240 - 240 = b
0 = b
so ur equation is : y = 60x + 0 which is written as : y = 60x <==
A body at rest and of mass
5kg is acted upon by a force
for 0.2s. Find the increase in
momentum.
Convert 2676 cm into inches (1 in = 2.54 cm)
Answer:
1053.543 in
Step-by-step explanation:
I divided the length value by 2.54
Answer:
1053.5 in
Step-by-step explanation:
1 in
2676 cm x ------------ = 1053.5 in
2.54 cm
is y = -5x a function
Answer:
Yes, it is.
Step-by-step explanation:
For each x we get y, and no two xes give the same y
On a map, two locations are 0.75 cen timeter apart. Their actual distance is 15 kilometers apart. What scale could be shown on the map? Select three options.
Options:
A.0.25 centimeter = 3 kilometers
B.0.4 centimeter = 8 kilometers
C.0.75 centimeter = 15 kilometers
D.3 centimeters = 60 kilometers
E.6 centimeters = 144 kilometers
Answer:
B, C, D
Step-by-step explanation:
Distance between the two locations :
On map = 0.75 centimeter
Actual = 15 km
Using the scale drawing notation :
On map : actual
0.75 cm : 15 km
Therefore,
Actual / on map
15 / 0.75 = 20
This means :
1 cm on map represents 20 km on land
0.25 cm on map = (20 * 0.25) = 5 kilometers
0.4 cm on map = (20 * 0.4) = 8 kilometers
0.75 cm on map = (20 * 0.75) = 15 kilometers
3 cm on map = (20 * 3) = 60 kilometers
6 cm on map = (20 * 6) = 120 kilometers
Hence, only options B, C and D are correct
Answer:
b,c,d are correct.
Step-by-step explanation:
just shortened the answer above me°∪°
4(x-2+y) what is this for the distributive property
Answer:
4x + 4y - 8
Step-by-step explanation:
4(x - 2 +y) = 4*x -4*2 + 4*y by the distributive property
Graph (-4, 5), (2, 3), (-3.0), (-4. -5). (-5. 2), and (-5,3) and connect the points to form a polygon. How many sides does the polygon have?
Answer:
I think the sides of polygon are 6
Step-by-step explanation:
Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side
please someone help me...
2cos pi/13 cos 9pi/13+ cos 3pi/13 +cos 5pi/13
=cos 10 pi/13 +cos 8 pi/13 +cos 3pi/13 +cos 5pi/13
=cos 10 pi/13 +cos 3pi/13 +cos 8pi/13 +cos 5pi/13
=2 cos pi/2 .cos 7 pi/26 +2 cos pi/2 .cos 3 pi /26
=2 (0)cos 7 pi /26 + 2(0) cos 3pi/26
=0 =R.H.S.
Answer: see proof below
Step-by-step explanation:
Use the following identities:
2cos x · cos y = cos(x + y) + cos(x - y)
cos x + cos y = 2 cos (x + y)/2 · cos(x - y)/2
Use the Unit Circle to evaluate: cos(π/2) = 0
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad 2\cos \dfrac{9\pi}{13}\cos \dfrac{\pi}{13}\quad +\quad \cos \dfrac{3\pi}{13}+\cos \dfrac{5\pi}{13}\\\\\text{Identity:}\qquad \quad \cos\bigg(\dfrac{9\pi}{13}+\dfrac{\pi}{13}\bigg)+ \cos\bigg(\dfrac{9\pi}{13}-\dfrac{\pi}{13}\bigg)+\quad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]
[tex]\text{Simplify:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{8\pi}{13}\bigg)+\qquad \cos\bigg(\dfrac{3\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]
[tex]\text{Regroup:}\qquad \qquad \cos\bigg( \dfrac{10\pi}{13}\bigg)+\cos \bigg(\dfrac{3\pi}{13}\bigg)\quad +\quad \cos\bigg(\dfrac{8\pi}{13}\bigg)+\cos \bigg(\dfrac{5\pi}{13}\bigg)[/tex]
[tex]\text{Identity:}\qquad 2\cos \bigg(\dfrac{10\pi+3\pi}{13\cdot 2}\bigg)\cdot \cos \bigg(\dfrac{10\pi-3\pi}{13\cdot 2}\bigg)+\quad 2\cos\bigg(\dfrac{8\pi+5\pi}{13\cdot 2}\bigg)\cdot \cos\bigg(\dfrac{8\pi-5\pi}{13\cdot 2}\bigg)[/tex]
[tex]\text{Simplify:}\qquad 2\cos \bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{13\pi}{26}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\.\qquad \qquad =2\cos \bigg(\dfrac{\pi}{2}\bigg)\cdot \cos \bigg(\dfrac{7\pi}{26}\bigg)+\quad 2\cos\bigg(\dfrac{\pi}{2}\bigg)\cdot \cos\bigg(\dfrac{3\pi}{26}\bigg)\\\\\\\text{Factor:}\qquad =2\cos\bigg(\dfrac{\pi}{2}\bigg)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg][/tex]
[tex]\text{Unit Circle:}\quad 2(0)\bigg[ \cos \bigg(\dfrac{7\pi}{26}\bigg)+ \cos \bigg(\dfrac{3\pi}{26}\bigg)\bigg][/tex]
Product of Zero 0
LHS = RHS: 0 = 0 [tex]\checkmark[/tex]
John had 2 apples, he
got 3 more.
more. How many
apples does he have?
Answer:
5
Step-by-step explanation:
2+3=5
Simplify the expression -1/2(-5/6 + 1/3)
Answer: 1/4
Step-by-step explanation:
-
Answer:
5/12 - 1/6
Step-by-step explanation:
Took the diagnostic
The low temperature last month was -11 degrees farenheight. What is the absolute value of -11? Answers:-a: -11 b: 0 c: 11 d: 22
The perimeter of a rectangle is 24 m. The length is 30 m less than five times the width. Find the dimensions of the rectangle. List answer as follows: width, length.
Answer:
width = 7 mlength = 5 mStep-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 24m
The statement
The length is 30 m less than five times the width is written as
l = 5w - 30
Substitute the expression into the above formula and solve for the width
That's
24 = 2( 5w - 30) + 2w
24 = 10w - 60 + 2w
84 = 12w
Divide both sides by 12
w = 7
Substitute this value into l = 5w - 30
That's
l = 5(7) - 30
l = 35 - 30
l = 5
Therefore the dimensions are
width = 7 m
length = 5 m
Hope this helps you
Write a problem based on the given information.
P = Cost of dinner
0.15p = cost of a 15% tip
P + 0.15p = 23
Answer:
Total cost of dinner = P + 0.15p = 23
Step-by-step explanation:
Consider the information provided.
The cost of dinner at a restaurant is $P.
The tip offered for the service was, $0.15p.
The total of the cost of dinner and the tip offered for the service is:
T = P + 0.15p = 23
Evaluate. (-3/4) to the third power
Answer:
- 27/64
Step-by-step explanation:
Third power = cubed = multiplying by itself three times
(-3/4)^3 = (-3/4) * (-3/4) * (-3/4) = 9/16 * (-3/4) = - 27/64
Find the value of x. A. 13 B. 9 C. 12 D. 10
Answer:
D. 10
Step-by-step explanation:
9+4=13
x+3=13
x=10
The value of x is 10 which is correct option (D).
What is the Angles of Intersecting Secants Theorem?Angles of Intersecting Secants Theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.
Given that,
Length of CW = 9 units,
Length of WV = 4 units,
Length of WU = 3 units,
Length of TW = x units,
⇒ Length of CW + Length of WV = Length of CV
⇒ 9 + 4
⇒ 13
⇒ Length of TW + Length of WU = Length of CV
⇒ x + 3 = 13
⇒ x = 10 - 3
⇒ x = 10
Hence, the value of x is 10 which is correct option (D).
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-6 + x = -5
Solving one and two step equations
Answer:
1
how did i get it:
-6 - (-5) = 1
Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month. Kyle’s total sales for the month of January were $10,000, and his total earnings for that month were $1,350. Kyle’s total sales for the month of February were $15,000, and his total earnings for that month were $1,575. What is Kyle’s fixed monthly salary in dollars?
Answer:
$900
Step-by-step explanation:
Kyle's commission on an extra $5000 in sales was ...
$1575 -1350 = $225
So, his commission on $10000 in sales would be ...
$225 × 2 = $450
Since $450 of Kyle's first month's sales was commission, his base salary was ...
$1350 -450 = $900 . . . . Kyle's fixed monthly salary
Juan ran the lemonade stand for 3 more days after his first day profit of $12. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. The table shows how much he spent and earned each day. What is the expression needed to find his total earnings?
Answer:
16-7+22-12+18-9
The correct answer is $28
Step-by-step explanation:
Thanks
The expression that uses adding the additive inverse to rewrite the expression is 16 + (–7) + 22 + (–12). Therefore, option C is the correct answer.
The given expression 16 – 7 + 22 – 12.
We need to rewrite the expression needed to find his total earnings.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The additive inverse of a particular number refers to the number that when the added will to the number will be equal to 0.
Now, based on the information given in the question, the additive inverse will be 16 + (–7) + 22 + (–12).
Therefore, option C is the correct answer.
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Your question is incomplete, probably the complete question/missing part is:
Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchasing more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.
Identify the expression that uses adding the additive inverse to rewrite the expression.
–16 + (–7) + (–22) + (–12)
–16 + 7 + (–22) + 12
16 + (–7) + 22 + (–12)
16 + (–7) + 22 + 12
If there is a discount of 40% on an article costing #7000, then the price after discount is
Answer:
The answer is # 4200Step-by-step explanation:
A discount of 40% was allowed on the price
To find the price after the discount first calculate the discount and subtract it from the original price
That's
[tex] \frac{40}{100} \times 7000[/tex]
= 2800
So the price after the discount is
#7000 - #2800
Which is
# 4200Hope this helps you
Which situation is modeled by the graph? A graph has time on the x-axis and height on the y-axis. The height increases, decreases to 0, increases, decreases to 0, and then increases.
Answer:
A graph has time ont the x-axis and height on the y-axis
Step-by-step explanation:
Answer:
A
Step-by-step explanation: