Answer:
The sell price of the truck rental after applying the coupon of 20 % is $ 120 .
Step-by-step explanation:
Given as :
The regular rented price for the truck = $ 150
The discount as off coupon = 20 %
Let The sell price for truck after discount = x
So , Discount % = [tex]\dfrac{\textrm market price - \textrm Selling price}{\textrm market price}[/tex]
Or, 20 % = [tex]\dfrac{\textrm 150 - \textrm x}{\textrm 150}[/tex]
Or, [tex]\dfrac{x}{150}[/tex] = 1 - [tex]\dfrac{20}{100}[/tex]
Or, [tex]\dfrac{x}{150}[/tex] = [tex]\dfrac{100 - 20}{100}[/tex]
or, [tex]\dfrac{x}{150}[/tex] = [tex]\dfrac{80}{100}[/tex]
∴ x = [tex]\frac{80\times 150}{100}[/tex]
I.e x = 8 × 15
Or, x = 120
Hence the sell price of the truck rental after applying the coupon of 20 % is $ 120 . Answer
Answer:
the % is 80% and the price $120
Step-by-step explanation:
alex grew 1 foot over the past year. He is now 6 feet tall
A company took a survey about its new project. I did the hundred people surveyed, 44 liked the new product. What percentage of the people surveyed like to the new product?
Answer:
The percentage people surveyed like to the new product is 44%.
Step-by-step explanation:
Given:
Company took a survey about its new project, hundred people surveyed, 44 liked the new product.
Now, to find the percentage of the people surveyed like to the new product:
People like new product / Total people surveyed × 100
[tex]\frac{44}{100}\times 100[/tex]
[tex]=0.44\times 100[/tex]
[tex]=44[/tex]
So, it is 44%
Therefore, the percentage people surveyed like to the new product is 44%.
Using scientific notation, what is the solution to (5.65 * 105) + (4.87 * 103)?
An international company has 16,300 employees in one country. If this represents 23.4% of the company’s employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
[tex]69,658\ employees[/tex]
Step-by-step explanation:
we know that
16,300 employees represent 23.4%
so
using proportion
Find out how many employees represent 100% (total employees of the company)
Let
x -----> total employees of the company
[tex]\frac{16,300}{23.4\%}=\frac{x}{100\%}\\\\x=16,300(100)/23.4\\\\x=69,658\ employees[/tex]
Evaluate the expression. 7 x (33 - 18) need a anwser fast
Answer:
105
Step-by-step explanation:
7(33-18)=7(15)=105
Thomas borrowed 4800$ to buy a new car. He will be paying 96$ a each month for the next 60 months. Find the simple interest rate for his car loan.
Final answer:
The simple interest rate for Thomas' car loan is 3.33%.
Explanation:
To find the simple interest rate for Thomas' car loan, we need to use the formula for simple interest:
Simple Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $4800 and the monthly payment is $96. The time is 60 months. We can rearrange the formula to solve for the rate:
Rate = Simple Interest / (Principal x Time)
Plugging in the values:
Rate = 96 / (4800 x 60) = 0.0003333
So, the simple interest rate for Thomas' car loan is 0.03333 or 3.33%.
Find the volume of a rectangular block of ice 2 feet by 4 1/2 feet by 1 1/2 feet.
Answer:
13.5 ft Cubed
Step-by-step explanation:
This is the same thing as [tex]2*4.5*1.5[/tex]. Now just multiply and you get
[tex]13.5[/tex].
Samantha buys candy bars for $0.75 each and increases the price by 40% to sell at the concession stand. Which represents the amount of the price increase?
(A) $ 0.30
(B) $ 0.40
(C) $ 0.50
(D) $ 0.60
Answer:
Try to include yes 0.30
Step-by-step explanation:
That is because we have to check the top and the bottom the add and multiply
Answer:
a.) $0.30 cents is the answer
Step-by-step explanation:
.75 • .4
Determine which of the following equations, when graphed, intersect at the point (4, 0).
Select all that apply.
- x - y = 4
x - y = 4
2 x + y = 7
2 x + y = -7
x + y = 4
2 x - y = 7
Answer:
x - y = 4
x + y = 4
Step-by-step explanation:
Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).
- x - y = 4
- (4) - 0 = 4
-4 = 4
LS≠RS
x - y = 4
4 - 0 = 4
4 = 4
LS=RS
2 x + y = 7
2(4) + 0 = 7
8 = 7
LS≠RS
2 x + y = -7
2(4) + 0 = -7
8 = -7
LS≠RS
x + y = 4
4 + 0 = 4
4 = 4
LS=RS
2 x - y = 7
2(4) - 0 = 7
8 - 0 = 7
8 = 7
LS≠RS
Only x - y = 4 and x + y = 4 intersect at (4, 0).
Answer:
B and E sorry not sooner
Step-by-step explanation:
I have trigonometry pile up - puzzle one and i need help solving it
Answer:
do you have a picture
Step-by-step explanation:
Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?
Answer:
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Mileage included with the rental = 54 miles
Additional mile over 54 miles = US$ 1 4/5
Distance finally driven by Thomas = 69 miles
2. Let's calculate how much additional money Thomas needs to pay.
Extra miles driven by Thomas = Distance finally driven - Mileage included
Extra miles driven by Thomas = 69 - 54
Extra miles driven by Thomas = 15
Cost of the additional miles = 15 * 1 4/5
Cost of the additional miles = 15 * 1.80 ⇒ 4/5 = 0.80
Cost of the additional miles = 27
Thomas needs to pay additional US$ 27 for the 15 extra miles not included in the mileage.
Note: Same answer to question 14038906, answered by me.
In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if:
m∠C = γ
Answer:
155°
Step-by-step explanation:
In Δ ABC, let A = x°
By Angle-sum property,
A + B + C = 180°
But, it is given that C = 130°
So, x + B + 130 = 180
B = 180 - 130 - x
B = 50 - x
Since AD and BD are internal bisectors of A and B,
∠ DAB = x/2 and
∠ DBA =
In Δ ADB, by angle-sum property,
∠ DBA + ∠ DAB +∠ ADB = 180°
+ ∠ ADB = 180°
25 + ∠ ADB = 180°
∠ ADB = 180 - 25 = 155°
Hence, ∠ ADB = 155°
294 rounded to the nearest hundred
Answer:
300
Step-by-step explanation:
9 rounds it up
1.1(3) as a simplified fraction
Answer:
[tex]\large\boxed{1.1(3)=1\dfrac{2}{15}=\dfrac{17}{15}}[/tex]
Step-by-step explanation:
[tex]1.1(3)=1+0.1(3)=1+0.1333...\\\\\text{Let}\ x=0.1333...\qquad\text{multiply both sides by 10}\\\\10x=1.333...\qquad\texT{multiply both sides by 10}\\\\100x=13.333...\qquad\text{make different}\\\\100x-10x=13.333...-1.333...\\\\90x=12\qquad\text{divide both sides by 90}\\\\x=\dfrac{12}{90}\\\\x=\dfrac{12:6}{90:6}\\\\x=\dfrac{2}{15}[/tex]
how do i solve the proportion 4/9=10/x
Answer:
x=45/2
Step-by-step explanation:
4/9=10/x
cross product
9*10=4*x
90=4x
x=90/4
simplify
x=45/2
Solve for x: 3x−8≤23 OR −4x+26≥6
Answer:
i am smort
Step-by-step explanation:
q
To solve the given system of inequalities, we can solve each inequality separately and then find the intersection of their solution sets. The solution set is x≤5.
Explanation:To solve the given inequality 3x-8≤23 or -4x+26≥6, we can solve each inequality separately and then find the intersection of their solution sets.
For the first inequality, 3x-8≤23, we add 8 to both sides and then divide by 3 to isolate x: 3x≤31, x≤31/3.
For the second inequality, -4x+26≥6, we subtract 26 from both sides and then divide by -4 to isolate x: -4x≥-20, x≤5.
Since x must satisfy both inequalities, the solution set is x≤5 and x≤31/3. Taking the smaller value, we have x≤5.
At the battle of bunker hill approximately 2400 colonial army troops clashed with 3000 British army troops what is the ratio of the number of British army troops to the number of colonial army troops ?
Answer:3000:2400
Step-by-step explanation:
The ratio of British army troops to colonial army troops at the Battle of Bunker Hill is 3,000:2,400, which simplifies to 5:4.
The ratio of the number of British army troops to the number of colonial army troops at the Battle of Bunker Hill is calculated by dividing the number of British troops by the number of colonial troops. With 3,000 British troops and 2,400 colonial troops, the ratio is 3,000:2,400.
To simplify the ratio, you could divide both sides by the greatest common divisor. In this case, both numbers can be divided by 1,200 (which is the greatest common divisor of 3,000 and 2,400) to give a simplified ratio.
After dividing both numbers by 1,200, the simplified ratio of British to colonial troops is 2.5:2 or, expressed as a fraction, 2.5/2, which simplifies further to 5:4.
The probability of rolling a fair die and not getting an outcome less than 3 is
The probability of not getting an outcome less than 3 is 2/3
Step-by-step explanation:
We can solve it by finding the probability of getting a number less than 3 and then taking its complement
So,
A die is rolled then
S = {1,2,3,4,5,6}
n(S) = 6
Let p be the probability of getting a number less than 3
The numbers less than 3 are {1,2}
So,
[tex]p =\frac{2}{6}\\p = \frac{1}{3}[/tex]
Let q be the complement of p,
The sum of probability of an event's occurrence and non-occurrence is 1
So,
p+q = 1
q = 1-p
[tex]q = 1 - \frac{1}{3}\\q = \frac{3-1}{3}\\q = \frac{2}{3}[/tex]
The probability of not getting an outcome less than 3 is 2/3
Keywords: Probability, Sample Space
Learn more about probability at:
brainly.com/question/11286417brainly.com/question/11566221#LearnwithBrainly
The probability of rolling a fair die and not getting an outcome less than 3 is 2/3, as there are four favorable outcomes (3, 4, 5, 6) out of six possible outcomes on a fair six-sided die.
To clarify, rolling a die and not getting an outcome less than 3 means getting a 3, 4, 5, or 6. Since a fair die has 6 sides, each side has an equal chance of landing facing up, so the probability of getting any specific number is 1/6.
The outcomes that meet our condition are 3, 4, 5, and 6, which are four possible outcomes out of six. Therefore, the probability is calculated as the number of favorable outcomes over the total number of outcomes, which is 4/6. To simplify 4/6, we divide both the numerator and the denominator by the common factor of 2, which gives us 2/3.
Thus, the probability of rolling a number that is not less than 3 is 2/3.
troop 200 sold cider and donuts to raise money for charity. They sold small boxes of donut holes
for $1.25 and cider for $2.50 a gallon. In order to cover
their expenses they need to raise at least $100. Write and graph an inequality.
Answer:
The equation for the inequality is , c + d = 200
And , $ 2.50 c + $ 1.25 d = $ 100
Step-by-step explanation:
Given as :
The total quantity of cider and donuts for charity = 200
The price of donuts holes =$ 1.25
The price of cider = $ 2.50
The total price money for the cider and donuts = $ 100
Let the quantity of each donuts = d
And The quantity of cider = c
Now, According to question
The total quantity of cider and donuts for charity = 200
Or, The quantity of cider + the quantity of each donuts = 200
Or, c + d = 200 ..........A
And , $ 2.50 c + $ 1.25 d = $ 100 ............B
So, Solving equations
2.50 × ( c + d ) = 2.50 × 200
I.e 2.50 c + 2.50 d = 500
And 2.50 c + 1.25 d = 100
Or, ( 2.50 c + 2.50 d ) - ( 2.50 c + 1.25 d ) = 500 - 100
Or, (2.50 c - 2.50 c ) + ( 2.50 d - 1.25 d ) = 400
Or, 0 + 1.25 d = 400
∴ d = [tex]\frac{400}{1.25}[/tex]
I.e d = 320
The quantity of donuts = 320
Hence The equation for the inequality is , c + d = 200
And , $ 2.50 c + $ 1.25 d = $ 100 Answer
To cover their expenses, the troop needs to raise at least $100. The inequality 2.50x + 1.25y ≥ 100 represents this goal. The primary topic is solving and graphing inequalities in two variables.
Explanation:To write an inequality to represent the troop's goal, we can calculate the minimum amount of money they need to raise. Let x represent the number of gallons of cider sold and y represent the number of boxes of donut holes sold. The total amount of money raised can be given by the inequality 2.50x + 1.25y ≥ 100.
We can graph this inequality on a coordinate plane. Let's assume x represents the horizontal axis and y represents the vertical axis. To graph the inequality, we can first plot the line 2.50x + 1.25y = 100, which represents the equality. Then, since the inequality is ≥, we shade the region above the line to represent all the possible solutions that satisfy the inequality.
The primary topic of this question is solving and graphing inequalities in two variables.
Learn more about Inequalities here:https://brainly.com/question/30231190
#SPJ11
Kristina work is 2.625 miles from her house. She bikes to and from work every day, 5 days a week. How many miles does she bike in all to and from her job in 29 weeks?
Answer:
Step-by-step explanation:
Since you know that she bikes 2.625 miles to and from, times that by 2 to get the daily miles biked, 5.25 miles.
With this, do 5.25*5 to get the weekly miles biked, 26.25 miles.
Next, do 26.25*29 to get the miles total in 29 weeks, 761.25 miles.
So, Kristina bikes 761.25 miles in 29 weeks for her job.
I have a question about my homework is lesson 5-3 apply for percent A/B I need help on question 5
Answer:
Can you explain the question?
Step-by-step explanation:
what is a the positive solution of x^2 - 36 =5x
Answer:
x = 9Step-by-step explanation:
[tex]x^2-36=5x\qquad\text{subtract}\ 5x\ \text{from bot sides}\\\\x^2-5x-36=0\\\\x^2+4x-9x-36=0\qquad\text{distribute}\\\\x(x+4)-9(x+4)=0\\\\(x+4)(x-9)=0\iff x+4=0\ \vee\ x-9=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\\x=-4<0\\\\x-9=0\qquad\text{add 9 to both sides}\\\\x=9>0[/tex]
What is the answer to this
[tex] \frac{ {11}^{4} }{ {11}^{ - 1} } = {11}^{4} \times 11 = {11}^{5} = 161051[/tex]
[tex] {x}^{ - 1} = \frac{1}{x} [/tex]
[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]
Answer:
11⁵Step-by-step explanation:
[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{11^4}{11^{-1}}=11^{4-(-1)}=11^{4+1}=11^5[/tex]
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 6 small boxes has a total weight of 128 kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 137 kilograms. How much does each type of box weigh?
The weight of a large box is 18.25 kilograms and the weight of a small box is 15.25 kilograms.
Explanation:Let's use a system of equations to solve this problem. Let's assume the weight of a large box is 'x' and the weight of a small box is 'y'. Based on the given information, we can set up the following equations:
2x + 6y = 128 (equation 1)5x + 3y = 137 (equation 2)Now, we can solve this system of equations to find 'x' (the weight of a large box) and 'y' (the weight of a small box).
We can start by multiplying equation 1 by 5 and equation 2 by 2 to eliminate 'x':
10x + 30y = 640 (equation 3)10x + 6y = 274 (equation 4)Subtracting equation 4 from equation 3:
24y = 366
Simplifying:
y = 15.25
Substituting the value of 'y' back into equation 1 or 2, we can solve for 'x':
2x + 6(15.25) = 1282x + 91.5 = 1282x = 128 - 91.52x = 36.5x = 18.25Therefore, a large box weighs 18.25 kilograms and a small box weighs 15.25 kilograms.
Learn more about Solving systems of equations here:https://brainly.com/question/29050831
#SPJ3
if my grade is a 49.1 F and i get 90 points on a test what will my grade go to
Answer:
A I think
Step-by-step explanation:
49.1+ 90
Answer:
C
Step-by-step explanation:
Find the average of the two test scores.
(49.1 + 90)/2
139.1/2
69.55 ⇒ which is grade C
The area of a rectangle is 28 square meters. The length is 7 meters.
What is the width of the rectangle?
meters
To find the width of the rectangle, use the formula Width = Area ÷ Length. Given an area of 28 square meters and a length of 7 meters, the width is 4 meters.
The area of a rectangle is calculated using the formula:
Area = Length × Width
Given that the area is 28 square meters and the length is 7 meters, we can find the width by rearranging the formula:
Width = Area ÷ Length
Substitute the given values into the formula:
Width = 28 square meters ÷ 7 meters = 4 meters
Therefore, the width of the rectangle is 4 meters.
A home has a room with length 22 feet and width 25 feet. Which dimensions could represent a scale model of the room?
I’ll put you as brainliest
A)Length =6.5in width=7.5inches
B) length=13inch width=14inch
C) length=17.6inch width=19.5inches
D) length =11inches width=12.5inches
The football team scored 28 points in the
first game. 35 points in their second game,
and 17 points in the third game About how
many points were scored in all three
games?
Answer:
80 points
Step-by-step explanation:
28+35=63.
63+17=80.
Hope this is addition.
That simple
By adding the points scored in each game, we find that the football team scored a total of 80 points in all three games.
Explanation:To find the total number of points the football team scored in all three games, we simply have to add the points scored in each game together. So, in the first game the team scored 28 points, in the second game they scored 35 points, and in the third game they scored 17 points. If we add these scores together (28 + 35 + 17), we get a total of 80 points. Therefore, the football team scored 80 points in all three games.
Learn more about Adding here:https://brainly.com/question/32114123
#SPJ11
Find the distance between point A (-9,-3) to line y = x - 6. Round your answer to the nearest tenth.
The distance from the point A(-9,-3) to the line y = x - 6 is calculated using the formula for the distance from a point to a line in the coordinate plane. After substituting the values in the formula, the distance is approximately 8.5 units.
Explanation:To find the distance from point A (-9,-3) to the line y = x - 6, we use the formula for the distance from a point to a line in two-dimensional space. This formula is |Ax1+ By1 + C| / sqrt(A^2 + B^2), where (x1,y1) is the point and Ax+By+C=0 is the equation of the line.
Firstly, we need to rewrite our given equation in the standard form. The equation y = x - 6 becomes x - y - 6 = 0. Therefore, A=1, B=-1, and C=-6.
Substitute A, B, C and the coordinates of point A into the formula, we get the distance as |[1*(-9) - 1*(-3) - 6]| / sqrt((1)^2 + (-1)^2) = |-12| / sqrt(2) = 8.48, rounding this to the nearest tenth, we get 8.5.
Learn more about Distance from Point to Line here:https://brainly.com/question/39771125
#SPJ12
The distance from the point A (-9,-3) to the line y = x - 6 is approximately 4.2 units when rounded to the nearest tenth.
Explanation:You asked to find the distance between point A (-9,-3) to the line y = x - 6. The formula to find the shortest distance, d, from a point to a line is given by the absolute value of |Ax1 + By1 + C| divided by the square root of A squared plus B squared, where (x1, y1) are the coordinates of the point and the line equation can be written in the standard form as Ax + By + C = 0. In this case, A = 1, B = -1, C = 6 (because y - x = 6 can be re-written as y - x - 6 = 0). Plugging in the coordinates of point A and the values of A, B, and C into the formula, we get |1*(-9) + -1*(-3) + 6| divided by the square root of [tex](1)^2 + (-1)^2[/tex], which simplifies to |-6| divided by the square root of 2, or 6 divided by sqrt(2). Converted to a decimal and rounded down, this equals approximately 4.2 units. Therefore, the distance from the point to the line is 4.2 units, rounded to the nearest tenth.
Learn more about Distance from point to line here:https://brainly.com/question/23343055
#SPJ2
What is 875 times 305
Answer: 266,875
Step-by-step explanation:
Just multiply 875 and 305 together
Answer:
The answer is 266,875
Step-by-step explanation:
You can get the answer by using a calculator or working it out by hand.