Answers
Related Questions
Mr. Salcedo was driving at a constant speed. He drove 120 3/4 miles in 3 hours. At that speed, how
many miles will he drive in 7 1/2 hour? How many miles will he drive in one hour?
Answers
He will cover 301.875 miles in 7.5 hours at a unit speed of 40.25 miles per hour.
What is unit rate?A ratio that compares two amounts of different types of units is called a rate. When a unit rate is expressed as a fraction, the denominator is 1 unit.
Rate = Distance/Time
If Mr.Salcedo was driving at 120 3/4 miles in 3 hours, his unit rate will be calculated as:
Unit rate =[120 3/4]/3
Unit rate = 483/12
Unit rate = 40 1/4 miles/hr
This shows that he drove 40 1/4 miles/hr.
The miles he drove in 7 1/2 hour is expressed as;
Miles driven = 161/4 * 15/2
Miles driven = 301.875 miles
Hence the miles that he will drive in 7.5 hours is 301.875miles and the unit rate is 40.25 miles/hr
Learn more on unit rate here: https://brainly.com/question/4895463
#SPJ1
What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.
Income range 5-15 15-25 25-35 35-45 45-55 55 or more
Midpoint x 10 20 30 40 50 60
Percent of super shoppers 22% 13% 21% 17% 20% 7%
A button hyperlink to the SALT program that reads: Use SALT.
(a) Using the income midpoints x and the percent of super shoppers, do we have a valid probability distribution? Explain.
No. The events are indistinct and the probabilities sum to more than 1.
Yes. The events are distinct and the probabilities do not sum to 1.
Yes. The events are distinct and the probabilities sum to 1.
Yes. The events are indistinct and the probabilities sum to less than 1.
No. The events are indistinct and the probabilities sum to 1.
Correct: Your answer is correct.
(b) Use a histogram to graph the probability distribution of part (a). (Because the data table has summarized the data into categories, use SALT to create a bar chart.)
Maple Generated Plot Maple Generated Plot
Maple Generated Plot Maple Generated Plot
Correct: Your answer is correct.
(c) Compute the expected income of a super shopper. (Round your answer to two decimal places.)
=
Incorrect: Your answer is incorrect.
thousands of dollars
(d) Compute the standard deviation for the income of super shoppers. (Round your answer to two decimal places.)
=
Incorrect: Your answer is incorrect.
thousands of dollars
Answers
From the given probability distribution, it is found that:
a) Yes. The events are distinct and the probabilities sum to 1.
b) The histogram is given at the end of the answer.
c) The mean is of 32.1.
d) The standard deviation is of 16.02.
What is the probability distribution?
Using the midpoint rule, the distribution is given as follows:
P(X = 10) = 0.22.P(X = 20) = 0.13.P(X = 30) = 0.21.P(X = 40) = 0.17.P(X = 50) = 0.20.P(X = 60) = 0.07.The outcomes are distinct, and their sum is of:
0.22 + 0.13 + 0.21 + 0.17 + 0.20 + 0.07 = 1.
Hence it represents a probability distribution.
The mean is given by the sum of each outcome multiplied by it's respective probability, hence:
E(X) = 10 x 0.22 + 20 x 0.13 + 30 x 0.21 + 40 x 0.17 + 50 x 0.20 + 60 x 0.07 = 32.1
The standard deviation is the square root of the sum of the difference squared between each observation and the mean, multiplied by it's respective probability, hence:
S(X) = sqrt((10-32.1)² x 0.22 + (20-32.1)² x 0.13 + (30-32.1)² x 0.21 + (40-32.1)² x 0.17 + (50-32.1)² x 0.20 + (60-32.1)² x 0.07) = 16.02.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
At the city museum, child admission is $6.00 and adult admission is $9.60. On Sunday, twice as many adult tickets as child tickets were sold, for a total sales of $630.00. How many child tickets were sold that day?
Answers
Answer:
25 child tickets and 50 adult tickets
Step-by-step explanation:
Let c be the number of child tickets and a be the number of adult tickets. We have this system of equations:
6.00c + 9.60a = 630.00
a = 2c
Substitute 2c for a in the top equation:
6.00c + 9.60(2c) = 630.00
6.00c + 19.20c = 630.00
25.20c = 630.00
c = 25, a = 50
Mark operates a small sign-making business. He finds that if he charges x dollars for each sign, he sells 37−x signs per week. What is the smallest number of signs that he can sell to have an income of $300 in one week?
Answers
The smallest number of signs that he can sell to have an income of $300 in one week is 12.
The price of one sign is x
Number of signs he sells per week = 37-x
The total earning from selling these is x(37-x) which is given as $300
(37- x) x = 300
37x - x² = 300
x² - 37x + 300 = 0
As per formula to find base in a quadratic equation
[tex]x =\frac{37 - \sqrt{37^{2}-4 . 1 . 300 } }{2 . 1} \\x =\frac{37 - \sqrt{1369-1200 } }{2} \\x =\frac{37 - \sqrt{169 } }{2} \\x = \frac{37-13}{2}\\ x = \frac{24}{2}\\ x = 12[/tex]
The other base can be
[tex]x =\frac{37 + \sqrt{37^{2}-4 . 1 . 300 } }{2 . 1} \\x =\frac{37 + \sqrt{1369-1200 } }{2} \\x =\frac{37 + \sqrt{169 } }{2} \\x = \frac{37+13}{2}\\ x = \frac{50}{2}\\ x = 25[/tex]
Therefore the smallest number of signs that he can sell to have an income of $300 in one week is 12.
To learn more about quadratic equation refer here
https://brainly.com/question/1214333
#SPJ1
Omar buys eggs and lemons at the store.
He pays a total of $26.10.
He pays a total of $6.30 for the eggs.
• He buys 6 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?
Answers
Answer:
Each bag of lemons cost $3.30
Step-by-step explanation:
The equation will be
6x = 26.10 - 6.306x=26.10−6.30
Solve for x to get,
6x = 19.86x=19.8
x = 3.3x=3.3
Answer:
$3.30 for each bag of lemons
Step-by-step explanation:
We know that Omar only bought both lemons and eggs. We also know that the total amount of money he spent on groceries is $26.30 and that the eggs are worth $6.30 out of the total.
So, if we can subtract the cost of the eggs from his total cost of groceries to find how much the lemons cost. After that we can divide the cost of all the lemons, which is $19.80, by the number of bags, which is 6, to find how much each bag costs.
(26.10 - 6.30) / 6 = ?
19.8/6 = 3.30
Houston wants to play the "Guess your weight" game at the Strawberry Festival. If the guess is not within 10 pounds of his actual weight, Houston wins a prize. Houston weighs 102 pounds.
Write an equation to represent this situation. Use the equation to determine the greatest and least guesses that can be made without Houston winning a prize?
Answers
An equation to represent this situation is |x - 102| = 10.
The greatest and least guesses that can be made without Houston winning a prize are 112 pounds and 92 pounds.
Given:
Actual Weight of Houston = 102 pounds
Now, if the guess is not within 10 pounds of his actual weight, Houston wins a prize.
An equation to represent this situation can be written as,
|x - 102| = 10
As we know a modulus function always generates a positive value.
We need the difference between the guessed weight and the actual weight to be exactly 10 pounds so we have applied modulus in the equation.
Now we utilize the above equation to determine the greatest and least guesses that can be made without Houston winning a prize.
The greatest guessed weight will be,
x - 102 = 10 ⇒ x = 102 + 10 ⇒ x = 112 pounds
The least guessed weight will be (the modulus value will be negative in this case)
-x + 102 = 10 ⇒ x = 102 - 10 ⇒ x = 92 pounds
To learn more about equations visit:
https://brainly.com/question/28739008
#SPJ9
Find the equation (in terms of xx ) of the line through the points (-4,1) and (5,-3)
Answers
EXPLANATION
Given two points of a line, we can find the the equation of that line using the steps below:
• Step 1
Determine the slope of the line, using the formula below:
[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]The points given are (-4, 1) and (5, -3). This implies that the coordinates are
x₁= -4 y₁=1 x₂=5 y₂=-3
Substitute the values into the formula and simplify.
[tex]m=\frac{-3-1}{5+4}=-\frac{4}{9}[/tex]• Step 2
Determine the y-intercept(b) of the line.
Substitute x₁= -4 y₁=1 and m=-4/9 into y=mx + b and solve for intercept(b).
1 = (-4/9)(-4) + b
[tex]1=\frac{16}{9}+b[/tex]Subtract 16/9 from both-side of the equation.
[tex]b=1-\frac{16}{9}[/tex][tex]b=\frac{9-16}{9}=-\frac{7}{9}[/tex]The intercept (b) = -7/9
• Step 3
Form the equation by substituting the value of the slope and intercept into y=mx + b.
Hence, the equation of the line is:
[tex]y=-\frac{4}{9}x-\frac{7}{9}[/tex]
To find the solution to |3x + 2|= 4, which two equations must you solve?
Answers
Answer:
YOU MUST SOLVE ---> |3x + 2|
Step-by-step explanation:
|3x + 2| = 4
-2 -2
3x = 4
x = 0.75
HOPE this HELPED
Nautical flags are used to communicate on
ships. Kimani uses the
scale drawing at the
right to sew a nautical Z flag. The scale from
her flag to the drawing is 20
Each color is
4
of the flag. How many square inches of
each color of fabric does Kimani need?
Answers
Answer:
5
Step-by-step explanation:
according to my own understanding since her flag to the drawing is 20. each colour is 4,then u divide 20 by 4. The answer is 5
Solve for Lowercase w
Answers
List the first 6 multiples of 8
Answers
Answer: 8, 16, 24, 32, 40, 48
Step-by-step explanation:
because if you add all of those numbers up, that's what you get.
Answer:
8 - 16 - 24 - 32 - 40 - 48
Step-by-step explanation:
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
Hello, help me please)
Answers
olution:
iven;
[tex]\log_52x=3[/tex][tex]\log_52x=3[/tex]Applyin the power property of logarithm given as;
[tex]\log_ba=c\Leftrightarrow a=b^c[/tex]Thus;
[tex]\operatorname{\log}_52x=3\Leftrightarrow2x=5^3[/tex]Simplify further, we have;
[tex]\begin{gathered} 2x=5\times5\operatorname{\times}5 \\ \\ 2x=125 \end{gathered}[/tex]ivide both sides by 2;
[tex]\begin{gathered} \frac{2x}{2}=\frac{125}{2} \\ \\ x=\frac{125}{2} \end{gathered}[/tex]NSWER:
[tex]x=\frac{125}{2}[/tex]3/4+6 and 2/4÷1 and 3/5
Answers
The answer is a) 27/6 b) 1/2 c) 0.6 = 6/10 = 3/5 and their sum is 5.6
What are the various mathematic operations?The four basic arithmetic operations in Maths, for all real numbers, are:
→ Addition (Finding the Sum; ‘+’)
→ Subtraction (Finding the difference; ‘-’)
→ Multiplication (Finding the product; ‘×’ )
→ Division (Finding the quotient; ‘÷’)
In this given question ;
a) [tex]\frac{3}{4}[/tex] + 6
first take LCM so we will get : [tex]\frac{3+24}{6}[/tex] = [tex]\frac{27}{6}[/tex]
b) [tex]\frac{2}{4}[/tex]÷ 1
this implies [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]× 1 = [tex]\frac{1}{2}[/tex]
c) [tex]\frac{3}{5}[/tex] = 0.6
If we were to solve a + b + c we get : 27/6 = 4.5
b= 1/2 = 0.5
so 4.5+ 0.5 + 0.6 = 5.6
To know more about various mathematical operations visit:
https://brainly.com/question/9144894
#SPJ9
I will give brainliest, like and rating if u solve this right
If f(x) = x³+ 3x² + 4x + 5 and g(x) = 5, then g (f(x)) =_?
Answers
125 + 75 + 20 + 5 = 225
225 would be your answer. I am pretty sure this would be your answer, if not, please let me know!
what is the image point (6,-9) after the rotation of 270 degrees counterclockwise about the origin
Answers
Image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)
As per the question statement, we are supposed to find the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin.
We should know that a 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.
So the point (x, y) becomes (y, -x)
So the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)
Cartesian Plane: A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.To learn more about Cartesian Plane, click on the link given below:
https://brainly.com/question/28574364
#SPJ1
Daniel and his three friends are sharing the cost of a pizza. The pizza costs $13.00. If Daniel has
$5.00, how much will he have left after he pays his share?
Answers
Answer: 1.75
Step-by-step explanation:
13/4 = 3.25
5.00-3.25
1.75
HELP I GIVE BRAINLIEST!!!!!
Answers
Drop Down 1
(2 in)(10 ft/1 in) = 20 ft
Drop Down 2
This means the scale factor is 1:2, and thus the new length will be 3 inches.
Can you solve this please.
Answers
The simplified expression of (x¹² ÷ x⁴). x³ is x¹¹
How to solve expression?The expression can be solved as follows:
(x¹² ÷ x⁴). x³
The law of indices can be used to solve the expression.
Therefore,
[tex]\frac{x^{a} }{x^{b} } = x^{a - b}[/tex] and [tex](x^{a} )^{b} = x^{ab}[/tex] and [tex]x^{a} .x^{b} = x^{a+b}[/tex]
Hence,
(x¹² ÷ x⁴) = x¹² / x⁴ = x¹²⁻⁴ = x⁸
Therefore,
(x⁸). x³ = x⁸⁺³
Finally,
x⁸⁺³ = x¹¹
learn more on expression here: https://brainly.com/question/26752262
#SPJ1
If x + 1/x = 83, find the value of x^2 + 1/x^2
Answers
Answer:
6887
Step-by-step explanation:
given
x + [tex]\frac{1}{x}[/tex] = 83 ( square both sides )
(x + [tex]\frac{1}{x}[/tex] )² = 83² = 6889 ← expand factor on left using FOIL
x² + 2( x × [tex]\frac{1}{x}[/tex] ) + [tex]\frac{1}{x^2}[/tex] = 6889
x² + 2(1) + [tex]\frac{1}{x^2}[/tex] = 6889 ( subtract 2 from both sides )
x² + [tex]\frac{1}{x^2}[/tex] = 6887
If 343 is the third proportional of A and B, where a:b= 1:7 then the value of a+b will be
Answers
Can somebody help me with question number 4?
Answers
nswer:
[tex]\begin{gathered} x\text{ = -4} \\ y\text{ = 3} \end{gathered}[/tex]Explanation:
ere, we want to solve the syastem of linear equations simultaneously by elimination
We have this as:
[tex]\begin{gathered} -4x+\text{ 3y = 25} \\ 6x-5y\text{ = -39} \end{gathered}[/tex]We start by multiplying the first equation by 6 and the second by 4. We have this as:
[tex]\begin{gathered} -24x\text{ + 18y = 150} \\ 24x-20y\text{ = -156} \end{gathered}[/tex]Add both equations as follows:
[tex]\begin{gathered} -2y\text{ = -6} \\ y\text{ = }\frac{-6}{-2}\text{ = 3} \end{gathered}[/tex]To get x, we multiply the first equation by 5 and the second by 3
We have this as:
[tex]\begin{gathered} -20x\text{ + 15y = 125} \\ 18x-15y=-117 \end{gathered}[/tex]We proceed to add both equations:
[tex]\begin{gathered} -2x\text{ =8} \\ x\text{ = }\frac{8}{-2} \\ x\text{ = -4} \end{gathered}[/tex]Use the drawing tool(s) to form the correct answer on the provided graph.
The rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation.
Draw the resulting rectangle.
Answers
If the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .
In the question ,
From the figure given below , we can see that the coordinates of the rectangle are (4,2) , (4,4) , (-2,2) , (-2,4) .
let us name the coordinates of the rectangle as A(4,2) , B(4,4) , C(-2,4) , D(-2,2) .
and to dilate the rectangle by a scale factor of 1.5 with center of dilation at the origin , we multiply coordinates of the original shape with the dilation factor
so the rule to describe the dilation will be
(x,y)→(1.5x,1.5y)
Using this rule to find the new coordinates of the rectangle A'B'C'D' .
When A = (4,2)
A' = (1.5*4,1.5*2)
A' = (6,3)
When B = (4,4)
B' = (15*4,1.5*4)
B' = (6,6)
When C = (-2,4)
C' = (1.5*(-2),1.5*4)
C' = (-3,6)
When D = (-2,2)
D' = (1.5*(-2),1.5*2)
D' = (-3,3)
So the coordinates of the rectangle A'B'C'D' is A' = (6,3) , B' = (6,6) , C' = (-3,6) , D' = (-3,3) .
the new resulting rectangle is drawn below
Therefore , if the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .
Learn more about Transformation here
https://brainly.com/question/16938631
#SPJ1
Ms.Vega read 20% of the Star Wars book. She read 8 pages of the book
Answers
The total number of the pages in the star war book which Ms. Vega is reading is 40.
percentage- a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Let the number of pages = X
percentage of read pages = 20%
Number of read pages by her = 8
to find the total number in star war book
20% of X = 8
20/100 x X = 8
X = (8 x 100)/ 20
X = 4 X 10
X = 40
Total number of pages in star war book is 40.
The question is incomplete the complete question is
Ms. Vega read 20% 8of the Star Wars book. She read 8 pages of the book. Write pages in the Star Wars book.
The total number of the pages in the star war book which Ms. Vega is reading is 40.
To know more about percentage
https://brainly.com/question/24232390
#SPJ1
(x + a)(x + 2)(3x + 1) = bx³ + cx² + dx - 10
Find the values of a, b, c and d.
Answers
Sanjay uses 225 N of force to move a wheelbarrow 18 m at a velocity of 1.8 m/s. What was the amount of power used?
Answers
The amount of power used when Sanjay applied a force of 225N to move a wheelbarrow over the given distance at a velocity of 1.8m/s is 405 watts.
What was the amount of power used to move the wheelbarrow?Power is the quantity of energy transferred per unit time. The relationship between force, velocity and power is expressed aa;
P = F × v
Given the data in the question;
Force applied F = 225N = 225kgm/s²Distance moved s = 18mVelocity v = 1.8m/sPower = ?To find the amount of power used, plug the given values into the above formula and solve for P.
P = F × v
P = 225kgm/s² × 1.8m/s
P = 225kgm²/s³ × 1.8
P = 405kgm²/s³
Power P = 405W
Therefore, the amount of power used by Sanjay is 405 watts.
Learn more about power here: https://brainly.com/question/27537678
#SPJ1
Which number is equivalent to 3^(4)÷3^(2)
Answers
the answer is definitely 9
The width of a rectangle is 15 cm less than the length. The perimeter is
8 cm. Find the rectangle's dimensions.
Answers
If the width of a rectangle is 15 cm less than the length and the perimeter of the rectangle is 150 cm, then the length is 45 cm and width is 30 cm
The width of a rectangle is 15 cm less than the length
Consider the length of the rectangle as x
The the width of the rectangle = x-15
The perimeter of the rectangle = 150 cm
The perimeter of the rectangle = 2(l+w)
Where l is the length and w is the width
Substitute the values in the equation
2(x+(x-15))=150
2(2x-15)=150
4x-30 = 150
4x = 180
x = 45 cm
The width of the rectangle = x-15
= 45-15
= 30 cm
Hence, If the width of a rectangle is 15 cm less than the length and the perimeter of the rectangle is 150 cm, then the length is 45 cm and width is 30 cm
The complete question is
The width of a rectangle is 15 cm less than the length. The perimeter is
150 cm. Find the rectangle's dimensions.
Learn more about perimeter here
brainly.com/question/15287805
#SPJ1
I have been stuck in this problem for 2 hours please help
Answers
We need to find the values of "x" and "y" from two triangles that are congruent. If the triangles are congruent it means that the corresponding angles are equal. This means that angle R and angle N are the same, and from the angle sum theorem w know that the interior angles of triangle QPR sum 180, that is mathematically:
[tex](9x-18)+84+\angle R=180[/tex]Since angle N is 3x+y, we replace that in the equation:
[tex](9x-18)+84+(3x+y)=180[/tex]Simplifying we get:
[tex]\begin{gathered} 12x+y+66=180 \\ 12x+y=180-66 \\ 12x+y=114,\text{ (1)} \end{gathered}[/tex]That gives us equation (1), but we need another equation since we have two variables. The other equation we get it from angles L and P, since this two angles must be equal. So we get the following equation:
[tex]4x+17=9x-18[/tex]Solving for "x", we get:
[tex]\begin{gathered} 4x-9x=-18-17 \\ -5x=-35 \\ x=-\frac{35}{-5}=7 \end{gathered}[/tex]The value of "x" is 7. Now we input this value in equation (1), like this:
[tex]\begin{gathered} 12x+y=114 \\ 12(7)+y=114 \\ 84+y=114 \end{gathered}[/tex]Solving for "y", we get:
[tex]\begin{gathered} y=114-84 \\ y=30 \end{gathered}[/tex]therefore, the value of "y" is 30.
for each of the points identify the axis or constant where the point is located 8.7 and 2.3 
Answers
The given points are located in the 1st quadrant.
How to determine which quadrant?Refer to the attachment.
Since the two points x or abscissa = 8.7 and ordinate or y axis = 2.3 and both the numbers are positive thus they belong to the First quadrant.
To know more about coordinate geometry visit:
https://brainly.com/question/26426112
#SPJ10
A = P(1+r) solve for r
Answers
Answer:
50
Step-by-step explanation:
csehufe;whweih/a=r+9+9
_(&*%^&*&^%^&*765678987654567890(*&*()_)(*()_(*()_+=9