The time Nancy spent working on her ela homework is equal to 2 hours.
The time Nancy spent working on her ela homework can be calculated by multiplication.
We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.
As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;
2 1/2 = 5/2 = 2.5 hours
Now multiplying it by the fraction of her time spent on ela homework,
Time spent on ela homework = 4/5 × 2.5
Time spent on ela homework = 10/5
Time spent on ela homework = 2 hours.
Hence Nancy spent 2 hours working on her ela homework.
To learn more about multiplication; click here:
https://brainly.com/question/1135170
#SPJ4
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend with the Organic Free Trade blend, but always in the same proportion. Yesterday, you mixed 140 pounds of the House blend with 168 pounds of the Organic Free Trade blend. Today, there is 130 pounds of the House coffee left in stock. How many pounds of the Organic Free Trade coffee should you mix with it to get your secret blend?
The ratio House blend/Organic Free Trade blend is the same and must remain the same.
So, the proportion is:
[tex]\frac{140}{168}=\frac{130}{x}[/tex]Where x is the unknown amount of the Organic Free Trade blend.
So, from the proportion, we have:
[tex]\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}[/tex]Answer: 156 pounds of Organic Free Trade blend
Help me get the right answer please
Answer:
3x + 5 + (8x - 3) = 180
11x + 2 = 180
11x = 178
x = 16.18
= 16.2
f(x)= x-6/2
g(x)=√x-4
Express the function gf in the form gf(x) = ...
Give your answer as simply as possible.
The function is given below
What is a function?
The value of a function f at an element x of its domain is indicated by f(x); the numerical value resulting from the function evaluation at a given input value is expressed by substituting x with this value; for example, the value of f at x = 4 is denoted by f(x) (4). When the function is not named and is represented by an expression E, the function's value at, say, x = 4 can be expressed by E|x=4. In science, engineering, and the bulk of the mathematical disciplines, functions are commonly used. Functions are claimed to be "the central objects of research" in most branches of mathematics.
The given function is
f(x) = x - 6/2
The function in gf is
g{f(x)} = √(x - 6/2) - 4
To know more about function, click on the link
https://brainly.com/question/10439235
SPJ9
The value of the required composite function is [tex]g(f(x))=\sqrt{x-\frac{6}{2} } -4[/tex].
What is a composite function?
When the result of one function is utilized as the input for another, a composite function is created.
Given that:
[tex]f(x)=x-\frac{6}{2}[/tex] and [tex]g(x)=\sqrt{x}-4[/tex]
To find the composite function [tex]g(f(x))[/tex], it is required to use the output of the first function as the input of the second function. It means that replace [tex]x[/tex] by [tex]f(x)[/tex] in the second function as:
[tex]g(x)=\sqrt{x}-4\\g(f(x))=\sqrt{f(x)}-4[/tex]
Now, substitute the value of [tex]f(x)[/tex] on the right side of the above equation as:
[tex]g(f(x))=\sqrt{x-\frac{6}{2}}-4[/tex]
Hence, the required answer is:
[tex]g(f(x))=\sqrt{x-\frac{6}{2}}-4[/tex]
To learn more about composite functions from the given link
https://brainly.com/question/10687170
#SPJ9
Which inequality statements are true? Select all that apply.-0.7<-0.40.5 -0.6-0.8<-0.70.6 > 0.4
Answer:
-0.7 < -0.4
0.5 > -0.6
-0.8 < -0.7
0.6 > 0.4
Explanation:
The symbol < means less than and the symbol > means greater than.
On the other hand, if we identify each number on a number line, we get:
Therefore, the true statements are:
-0.7 < -0.4
0.5 > -0.6
-0.8 < -0.7
0.6 > 0.4
Because, for example, -0.7 is on the left of -0.4 which means that -0.7 is less than -0.4.
0.5 in on the right of -0.6 which means that 0.5 is greater than -0.6.
5x+25=100
Please solve. I don't want any wrong answers!!
Answer:
x=15
Step-by-step explanation:
5x+25=100
Subtract 25 from both sides.
5x+25−25=100−25
5x=75
Divide both sides by 5.
5x÷5=75÷5
x=15
[tex]5x+25=100\\x=[/tex]
Subtract 25 from both sides:
[tex]5x+25-25=100-25\\5x=75[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5} =\frac{75}{5}[/tex]
[tex]\fbox{x=15}[/tex]
Which equation demonstrates the identity property?? (question 2\10 in 6th g math) ( be fast pls need this right now)
A. (3x4)+(3x5)=3(4+5)
B. 3x5=5x3
C. 3(4x5)=(3x4)x5
D. 4x1=4
(15 points)
Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x
Step-by-step explanation:
a)
12 +15 = 3 *9
27= 27
1
B) 15=15
=1
c) 3*20=12*5
60=60
=1
d) 4=4
=1
x^2+6x+? complete the square
Answer:
+ 9
Step-by-step explanation:
x²+ 6x
to complete the square
add ( half the coefficient of the x- term )² to x² + 6x
x² + 2(3)x + 3²
= x² + 6x + 9
= (x + 3)² ← a perfect square
The largest y-value of the function is called thefunction.value of the
As the y-values of a function are the values that the function takes, the largest y-value of a function is called the maximum value of the function
Answer: maximumWhat is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
Answer:
x = 4
Step-by-step explanation:
a line with an undefined slope is a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (4, 6 ) with x- coordinate 4 , then
x = 4 ← equation of line
question 8 a large hotel chain sees about 500 customers per week. a data analyst working there is gathering data through customer satisfaction surveys. they are anxious to begin analysis, so they start analyzing the data as soon as they receive 50 survey responses. this is an example of what? select all that apply.
The sampling strategy used in this problem is an example of:
Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.What is sampling?Sampling is when a subset of an entire population is studied, to verify whether characteristics of the sample can be expanded to the entire population.
The sample has to be representative of the population, that is, large enough, hence it should contain all the subsets of the population.;
In the context of this problem, the chain sees about 500 customers a week and they receive the responses from 50 of them. This is a not large enough sample size, hence it could cause biased results, meaning that the perspective of the entire population will not be considered.
In the context of this problem, the survey are anonymous, and the objective of a survey is generally not to reward the participants, hence the last two options are false.
What is the missing information?The options are given as follows:
Failing to include diverse perspectives in the collection.Failing to choose a large enough sample size.Failing to reward customers for participating in the survey.Failing to collect data anonymously.More can be learned about sampling at https://brainly.com/question/9910540
#SPJ1
Graph, on a separate piece of paper, the equation of a line with a slope of −3 and a y-intercept of 2.
Select the points that appear on the graph.
Multiple select question.
cross out
A)
(0, 0)
cross out
B)
(0, 2)
cross out
C)
(1, 1)
cross out
D)
(1, −1)
cross out
E)
(2, 0)
Based on the slope of the line and the y-intercept, when graphed, the points that will appear on the graph will be:
B. (0, 2) D. (1, -1)How to graph the line?The equation of a line takes the form:
y = mx + b
m = slope
b = y - intercept
This line would therefore take the equation form:
y = - 3x + 2
When graphed, the graph would be as attached.
As shown by the graph, the points that will appear include:
(0 , 2) (1 , - 1)
Find out more on graphing lines at https://brainly.com/question/28312822
#SPJ1
On the spinner show
We want to know what's the probability of spinning a number greater than two
There are 2 spinnings greater than two, of a total of 8. therefore, the probability I will be
[tex]\frac{\text{favorable cases}}{\text{all cases}}=\frac{2}{8}=\frac{1}{4}[/tex]The probability is 1/4
a newsletter publisher believes that more than 79y% of their readers own a laptop. is there sufficient evidence at the 0.020.02 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
The Null hypothesis will be expressed as u = 0.79 whereas the Alternative hypothesis will be expressed as. u > 0.79
The null hypothesis (H0) may be used to show that there exists no significant variation between variables or that a single variable is not different than its mean. While an alternative Hypothesis (Ha) is a theory that attempts to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. According to the question we can say that the
Null hypothesis (H0): u = 0.79
Alternative hypothesis (Ha): u > 0.79
Where u may be called as the proportion of their reader that owns a personal computer.
Learn more about null hypothesis at:
brainly.com/question/28042334
#SPJ4
Given vectors a=(-2, 1) and b = (5, 4), find 5a - 3b.Write your answer in component form.5a - 3b = (0)X 5? ?
In order to find 5a-3b, lets find 5a. This is given by
[tex]\begin{gathered} 5a=5(-2,1) \\ 5a=(-10,5) \end{gathered}[/tex]Similarly, -3b is given by
[tex]\begin{gathered} -3b=-3(5,4) \\ -3b=(-15,-12) \end{gathered}[/tex]Then, by substituting our results into the expression 5a-3b, we get
[tex]5a-3b=(-10,5)+(-15,-12)[/tex]This can can be done by adding entry by entry, that is
[tex]5a-3b=(-10-15,\text{ 5-12)}[/tex]Therefore, the answer is
[tex]5a-3b=(-25,-7)[/tex]Safiya travels at an average speed of 40 mph for 30 miles.
Without stopping, Safiya then travels 50 miles in 1.5 hours.
Find her average speed for the entire journey to 2 dp.
Pls help
Average speed is 35.56 mph.
Calculating average speed involves dividing the whole distance travelled by the total time it took to cover that distance. Speed is the rate of movement of something at a specific time. Average speed refers to the average speed during the course of a journey.
We have to find the average speed of the whole journey.
First we have to find total distance for whole journey and then total time for whole journey.
Total distance for whole journey = 30 miles + 50 miles = 80 miles
Time for 30 miles = distance/speed = 30/40 = 3/4 hrs = 0.75 hrs
Total time = 1.5 + 0.75 hrs = 2.25 hrs
Average speed = total distance/ total time
= 80/2.25
= 35.56 mph.
The average speed is 35.56 mph.
To know more about average speed:
https://brainly.com/question/9834403
Use the diagram and the given angle measure to find the other three measures
The measures of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.So, ∠2 = 34°:
Now calculate other angles as follows:
(1) ∠1:
We can easily tell that ∠1 and ∠2 together make a straight angle which makes 180°. Then,
∠1 + ∠2 = 180∠1 + 34 = 180∠1 = 180 - 34∠1 = 146°(2) ∠3:
∠1 and ∠3 are a pair of vertically opposite angles and thus are equal.
∠1 = ∠3 = 146°∠3 = 146°(3) ∠4:
∠2 and ∠4 are a pair of vertically opposite angles and thus are equal.
∠2 = ∠4 = 34°∠4 = 34°Therefore, the measure of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.
Know more about angles here:
https://brainly.com/question/25716982
#SPJ13
during an election, a group of 4 council members must be selected from a group of 18 people running for these positions. how many such selections are possible?
The possible number of ways of selection by using combination formula is 3060.
What is combination?
A grouping of items where the order in which they were chosen is irrelevant is known as combination.
Given that the number of people in the group is 18. Only 4 people will be member of the council.
The formula of combination is [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex] , where r number of objects are selected from n objects.
In the given question the value of n is 18 and the value of r is 2.
Substitute the value of n and r in [tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex].
[tex]^{18}C_{4}=\frac{18!}{4!(18-4)!}[/tex]
Solve the above expression:
18^C_4 = 18x17x16x15x14/4x14
18^C_4 = 18x17x16x15/4x3x2x1
3060 18^C_4 = 3060
The number of ways such selection is 3060.
To learn more about combination, you can visit below link:
https://brainly.com/question/28065038
#SPJ4
What measure of variance is best to describe Mr. Mack’s 1st period scores?Choose the correct one MeanMedianModeInterquartile range Standard deviation Variance
Step 1
The measures of variance include;
[tex]\begin{gathered} 1)\text{ Interquartie Range} \\ 2)\text{ Range} \\ 3)\text{ Standard deviation} \\ 4)\text{ Variance} \end{gathered}[/tex]Step 2
For a bar chart, we have that;
[tex]undefined[/tex]There were 48,500 people at an amusement park on Monday. Forty two percent of the people wanted to ride the new roller coaster. Twenty-three percent of those people decided not to ride the coaster because the line was too long. About how many people waited in line for the new roller coaster that day?
Estimate the percent of a number
( with steps)
The people who waited in line for the new roller coaster that day is 9215?
How to calculate the value?From the information, forty two percent of the people wanted to ride the new roller coaster and twenty-three percent of those people decided not to ride the coaster because the line was too long.
The percentage of those who waited will be:
= 42% - 23%
= 19%
Since there were 48,500 people at an amusement park on Monday, those who waited will be:
= Percentage × Total number
= 19% × 48,500
= 9215
Learn more about percentages on:
brainly.com/question/24304697
#SPJ1
Using the formula °F = 1.8°C +32°, find the temperature in
Degrees Celsius of an oven that is 500°F.
Using the formula °F = 1.8°C +32°, The temperature in Degrees Celsius of an oven that is 500°F is 260°C.
What is Fahrenheit?For everyday purposes, Fahrenheit is used in the United States, its territories, and related states (all of which are covered by the U.S. National Weather Service), as well as in Liberia, the Cayman Islands, and other places. For instance, temperatures for freezing, cooking, and other conditions are typically given in degrees Fahrenheit in the United States.
What is Celsius?On the Celsius scale, one of the two temperature scales used in the International System of Units along with the Kelvin scale, the unit of temperature is the degree Celsius. The term "degree Celsius" can be used to describe either a specific temperature on the Celsius scale or a measurement of the difference between two temperatures.
Here,
°F=1.8°C+32°
500°F=1.8°C+32°
1.8°C=468°F
°C=468/1.8
°C=260°C
The temperature in Degrees Celsius of an oven that is 500°F is 260°C by using the formula °F = 1.8°C +32°.
To know more about temperature,
https://brainly.com/question/28957720
#SPJ13
Write the equations of the following lines. A line that is parallel to y=2x-4 and passes through the point (1, 1)
Considering the definition of parallel line, a line that is parallel to y=2x-4 and passes through the point (1, 1) is y= 2x -1.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Parallel lineParallel lines are two lines that are always at the same distance from each other and never touch.
Two lines are parallel if they have the same slope "m" and different y-intercepts "b".
Equation of parallel line in this caseIn this case, the line is y=2x -4
where:
The slope m is 2The y-intercepts b is -4.Since two lines are parallel if they have the same slope, the parallel line has a slope of 2 and has a form of: y= 2x + b
The line passes through the point (1, 1). Replacing in the expression for parallel line:
1= 2×1 + b
1= 2 + b
1 -2= b
-1 = b
Finally, the equation of parallel line is y= 2x -1 .
Learn more about parallel line:
brainly.com/question/17441317
#SPJ1
where is the center of dilation located in the image pictured below?
Answer:
V
Step-by-step explanation:
Solve 7+y=5(2y-1)+3y. Y=
Answer: y = 1
Step-by-step explanation:
Given
7 + y = 5(2y - 1) + 3y ← distribute and simplify right side
7 + y = 10y - 5 + 3y
7 + y = 13y - 5 ( subtract y from both sides )
7 = 12y - 5 ( add 5 to both sides )
12 = 12y ( divide both sides by 12 )
1 = y
An engineer is designing the parking lot shown below for a local grocery store. The parking spaces are marked with lines where XD←→∥TZ←→∥YF←→∥LP←→ and WC←→− is a transversal. m∠CNL=(6x−17.6)°, m∠FBH=(12y−22)°, and m∠THR=(3x+29.2)°
Answer:
Step-by-step explanation:
6. Write the equation for the line: (Hint: there are two points given to you!) 1 (3-1) 4 Homework Packet 3,1-3143.pdf hit ng
. Write the equation for the line: (Hint: there are two points given to you!)
________________________
y= mx + b
the slope is m
or
(y - y1) = m (x - x1)
___________________
points (x,y)
point 1 (4, 4) x1 = 4; y1 = 4
point 2 (3 , -1) x2= 3; y2 = -1
The slope m = (y2- y1) / (x2 -x1)
m=(-1 - 4 )/( 3 - 4)
m= -5/-1 = 5
(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)
____________________
(y - 4) = 5 (x - 4)
y= 5x -20 +4
y= 5x - 16
The equation for the line is y= 5x - 16
__________________
Do you have any questions regarding the solution?
Can someone please answer this!
Answer: see the attachment
Step-by-step explanation:
h = # of hours worked
{10h and {15(h-40)+400 are both functions i.e. simplified equations
simply fit the # of hours worked in each equation to get the values. you can also double check your work or to understand better
to do so, take (h) # of hours worked and multiply by the pay rate. This gives the total pay over the work week. then take the extra hours beyond the 40. ie 7. if $10 is the pay rate per hour and OT is 1.5xnormal pay then 10x1.5=15. Multiply 15x7 and you get 105 then add to 400 and you get $505. 400 comes from 10(40).
part b and c is just setting the functions.
so instead of 40 hrs per week your full-time rate is now 38 and anything beyond would be counted as overtime. so a normal work week of 38 hrs x the $10/hr would equate to $380 for the week.
part c, if the hours per week were kept normal at 40hrs/week but the pay rate is increased this then changes 10 = h to 12 = h. if 12=h and you work 40hrs/week, then 12(40)=$480 for the normal work week. also this changes your OT pay from 10(1.5)=15 to 12(1.5)=$18
Jim's backyard is a rectangular that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many pieces of sod will Jim need to but to cover his backyard with sod.
The number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.
What is termed as the unitary method?The unitary method is a process that determines the value of a single unit from the value of multiple units, as well as the value of multiple units from of the value of a single unit.For the given question;
The backyard of Jim is in the shape of the rectangle.
The dimension of the yards are in given in mixed fraction, convert that in improper fraction as;
Length : 15 5/6 yards = 95/6 yardsWidth : 10 2/5 yards = 52/5 yardsThe area of the rectangle yard is;
Area = length x width
Area = 95/6 x 52/5
Area = 76 sq. yd.
The dimension of the sod in pieces are -
Length : 1 1/3 yardsWidth : 1 1/3 yardsArea of each sod is -
Area = length x width
Area = 11/3 x 11/3
Area = 121/6 sq. yd.
Thus, the total umber of the sods required for the yard is;
Number = 76 sq. yd. / 121/6 sq. yd.
Number = 3.76 ≈ 4
Thus, the number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.
To know more about the unitary method, here
https://brainly.com/question/24587372
#SPJ10
Please explain how you got your answer.
Answer:
4th option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x + 8 ← is in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex] , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, 2 ) into the partial equation
2 = - 9 + c ⇒ c = 2 + 9 = 11
y = [tex]\frac{3}{2}[/tex] x + 11 ← equation of perpendicular line
Answer:
I miss you
Step-by-step explanation:
Sydney picked 28 raspberries and 35 blueberries to make two desserts.
She needs 4 raspberries for each raspberry tart and 5 blueberries for each
blueberry tart. She wants to know how many desserts she will be able to
make with the berries.
Answer:7 and
Step-by-step explanation:
Answer: 7 raspberry tarts and 7 blueberry tarts
Step-by-step explanation:
28 raspberries / 4 raspberries for each tart = 7 raspberry tarts
35 blueberries / 5 blueberries for each tart = 7 blueberry tarts
I need answer to this question if you could help me?
Answer:
78.5 square meters
Explanation:
• Given:, A circle with a radius of 5 meters.
,• To find:, Area of the circle
The area of a circle is calculated using the formula:
[tex]A=\pi r^2[/tex]Substitute 5 for r and 3.14 for π:
[tex]\begin{gathered} A\approx3.14\times5^2 \\ =78.5\text{ square meters} \end{gathered}[/tex]The area of the circle is approximately 78.5 square meters.
