Answer:
y=-x+56
Step-by-step explanation:
A linear equation is an equation in which each term has at max one degree. The correct option is D, y = -x + 56.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form,
y = mx + c
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
Given that the temperature was 56 degrees this morning but dropped one degree per hour through the rest of the day. Therefore, an equation in slope intercept form to represent the temperature of the day at any given hour is,
y = 56 - x
y = -x + 56
Hence, the equation in slope intercept form to represent the temperature of the day at any given hour is y = -x + 56.
Learn more about Linear equations:
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A and B together complete a work in 20days. They worked together for 5days and B leaves. How long will A takes to finish the remaining work if A alone can finish the work 36days.
Answer:
27 days
Step-by-step explanation:
A alone, rate per day = 1/36
A and B together, rate per day = 1 / 20
Total Workdone for 5 days :
1/ 20 * 5 = 5 / 20 = 1/4
Fraction of work left :
1 - 1/4 = 3/4
3 / 4 * 36 /1
= (3 * 36) / 4
= 108 / 4
= 27 days
A stone falls from a train trestle. The stone's height in meters above the ground is modeled by the function h(t)=−4.9t2+155 where t is time in seconds. To the nearest tenth of a second, how long does it take the stone to hit the ground? State what strategy you will use to answer the question, and then find the answer.
Answer:
5.6s
Step-by-step explanation:
Given the height reached by the stone modeled by the equation
h(t)=−4.9t2+155 where t is time in seconds.
The stone hits the ground at h(t) = 0
Substitute
0 = -4.9t²+155
4.9t² = 155
t² = 155/4.9
t² = 31.63
t = ±√31.63
t = 5.62seconds
Hence it will take 5.6s to reach the ground(to the nearest tenth)
Carla has 10 fewer books than Dominic.
Create an expression to represent the number of books that Carla has, wher
x is the number of books Dominic has. 4.9
Answer:
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Step-by-step explanation:
Just look at the picture please fast I WILL MAKE BRAINLIEST!!!!!!!!
Answer:
A (-3,0) B (0,-1) C (1,-4)
Step-by-step explanation:
How tall is the bullding in the picture shown?
66 in.
36 ft
8 ft
4.36 ft
52.36 ft
24.75 ft
297 ft
Answer:
24.75FT
Step-by-step explanation:
The triangles in the picture are similar meaning that 36/8=4.5
66inches into ft = 3.5
3.5x4.5=24.75
Answer: C. 24.75 ft
Step-by-step explanation:
• Set up the proportion.
• Cross multiply.
• Complete the multiplication on the left side.
• Divide both sides by 100.
• Complete the divisions on both sides.
Paul will pay for his new car in 36 monthly payments. If his car loan is for $20,538 then how much will Paul pay each month?
Answer:
570.50
Step-by-step explanation:
I think it's the correct answer maybe it is maybe it's not
Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.
This means that Paul will be paying $570.50 every month till the completion of 36 months.
The given parameters for the calculation of the monthly installment:
Loan amount= $20,538 Total months to repay the loan= 36 monthsCalculation of the monthly amount of Paul's loan:
[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]
[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]
[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]
Therefore, the monthly installment of paul will be $57.50.
To know more about the calculation of installment, refer to the link below:
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can someone please help? i’ll mark brainliest!!
Answer:
z+5 z+2 Z i think
Step-by-step explanation:
the lenght is longer to shorter
Answer:
angle # > angle * > angle $
Step-by-step explanation:
Since z + 5 > z+ 1 > z
So, angle # > angle * > angle $ (Angle opposite to greater side is greater and opposite to smallest side is smallest)
Student A's scores have a standard deviation of 5.4 and Student B's scores have a standard deviation of 10.6. What does Student B's higher standard deviation mean of his/her test scores?
Answer:
Student B's score has a greater variation from the mean than student A's score
Step-by-step explanation:
Student A : standard deviation = 5.4
Student B : standard deviation = 10.6
The standard deviation is used to measure the degree of variability of a measured value from the mean or average value of the set. The higher the value of standard deviation, the greater the variabilityabiut the mean. Hence for the question given above, Student B's score varies greatly from the mean Than student A's score.
A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
a) 15
b) 20
c) 180
d) 360
WILL MARK BRANLIEST!
Answer:
I'm pretty sure its 180 !!
PLEASEEE HELPPP me!!!!!
Find the area of this obtuse triangle
Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.
sorrryy I don't know how to delete this so...
Step-by-step explanation:
step 1. first combine by subtraction.
step 2. 0x -8x = -8
step 3. y = 1
step 4. x = -6.
step 5. the answer is (-6, 1).
HELP ASAP!!! I WILL CHOOSE YOU THE BRAINLIEST!!!! PLEASE
Answer:
K is the independent value.
Step-by-step explanation:
For K, you can plug in any value, so it is independent, but T will always have to follow the value of K.
(The X axis is always independent, and the Y axis is always dependent.)
If you want me to do the "Complete the sentence", please tell me the options in the comments.
Answer:
t is the independantt variable and K is the dependant variable...
Smaller? Or less than...
I dont know..
Step-by-step explanation:
hope I helped.. can I have brainliest please? hee hee
A bicycle has a listed price of $706.95 before tax. If the sales tax rate is 9.75%, find the total cost of the bicycle with sales tax
included.
Round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
we will calculate first the sales tax
706.95*(9.75/100)=68.93
706.95+68.93= $775.88
What is (f + g)(x)?
f(x) = -4x
g(x) = -x^2 + 6x
It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.
Complete the table showing three ways Jada can spend $15 downloading individual songs and albums.
What belongs in cell A?
Answer:
1 album
Step-by-step explanation:
it would take along time to explain but i did the work i promise
Melanie earns $7.40 per hour working at a grocery store. She works 14.25 hours this week. How much does she earn this week?
Answer:
$105.45
Step-by-step explanation:
$7.40 x 14.25 = $105.45
She earns $105.45 after working for 14.25 hours.
Tina and Lane share a 16-ounce box of cereal. By the end of the week, Tina has eaten 3/8 of the box, and Lane has eaten 1/4 of the box of cereal. How many ounces are left in the box?
Answer:6 ounce of cereal are left in the box
Step-by-step explanation:
Total amount of cereal = 16 ounce
Amount of cereal eaten by Tina= 3/8 X16= 6ounce
Amount of cereal eaten by Lane= 1/4 X16= 4ounce
Amount of cereal left = Total amount of cereal -Amount of cereal eaten by Tina and Lane
=16- ( 6+4)
16-10
= 6 ounce of cereal remaining
What are three other names for range. ( This is for algebra)
Things that are equivalent to 5 : 2
Answer:
2/5
Step-by-step explanation:
Answer:
10 : 4, 15 : 6, 20 : 8,
Step-by-step explanation:
increase the first number by 5 then add two to the second number
A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter.
Sam and Nathan are training for a race. Monday, Sam ran 2 ¾ miles, and Nathan ran 2 ⅓ miles. How much farther did Sam run than Nathan?
Answer:
1/2 - 1/5
1 1/5 - 2/3
Step-by-step explanation:
I think it’s 2 over 1 but I’m not sure??
Answer:
it is 2/1
Step-by-step explanation:
Joe determined the mass of 2 boxes using a scale. Since the cost of each box is the same, Joe would like to choose the box with the larger mass. Box A Box B 32.012 kg 32.02 kg Place the correct symbol between the 2 masses to help Joe decide. 32.012 Response area 32.02
Answer:
32.012 kg < 32.02 kg
Step-by-step explanation:
32.012 kg < 32.02 kg
Write a rule for the linear function shown in the graph.
y = 4x – 3
y = –x + 4
y = 2x + 5
y = 1/4x +1
Answer: Answer is A. y = 4x - 3
Graph the line using the slope and y-intercept, or two points.
Slope: 2/ 5
y-intercept: ( 0 , − 1 )
x y
0 − 1
5/ 2 0
Step-by-step explanation:
How do you graph y=4x-3?
In graphing an equation, a very valuable graphing technique is the ability to recognize the kind of graph that a certain type of equation produces.
Any equation that is of the form y = mx + b is in the "slope-intercept" form for the equation of a straight line, where x and y are variables, where “m” is a real number representing the slope of a line, and where “b” is a real number representing the y-intercept of a line , i.e., the y-coordinate of the point of intersection between a straight-line graph and the y-axis.
Since the given equation y = 4x ‒ 3 is in the slope-intercept form, where m = 4 and b = ‒3, then it’s a linear equation and its graph is a straight line. Also, looking at the given equation, we know that the independent variable x can take on any real number as a replacement.
Now that we know that the graph of the given equation is a straight line and that there are no restrictions on the variable x, we need to determine and then draw the straight-line graph on a Cartesian (rectangular) coordinate system with the y-axis as the vertical axis and the x-axis as the horizontal axis. We know that two points determine a straight line; So, all we need to do is find the point where the straight-line graph of the given equation y = 4x ‒ 3 intersects the x-axis, i.e., the point of the x-intercept, and find the point where the straight-line graph of y = 4x ‒3 intersects the y-axis, i.e., the point of the y-intercept. Also, it would be a good idea to plot a third point as a check.
(1.) Determining the point of the x-intercept:
For any point on the x-axis, the y-coordinate is zero; therefore, in our given equation, let y = 0 and solve for x as follows:
y = 4x ‒3
0 = 4x ‒3
0 + 3 = 4x ‒3 + 3
(1/4)(4x) = (1/4)(3)
x = 3/4
Therefore, the x-intercept is x = 3/4, and the graph of the given equation y = 4x ‒3 intersects the x-axis at the point (3/4, 0).
(2.) Determining the point of the y-intercept:
To get the y-intercept, we can simply select it from the given equation y = 4x ‒3 which is already in slope-intercept form (y = mx + b), i.e., y = 4x ‒3 or y = 4x + (‒3); therefore, the y-intercept of the straight-line graph of the given equation is y = b = ‒3, which is the y-coordinate of the point of intersection between the straight-line graph of the given equation and the y-axis. Also, for any point on the y-axis, the x-coordinate is zero; therefore, the straight-line graph of the given equation intersects the y-axis at the point (0, ‒3).
(3.) Check Point
In generating a third point as a check point, choose a convenient value for x so that the corresponding value for the dependent variable y is nice and even. Let x = 2, then:
y = 4x ‒3
= 4(2)‒ 3
= 8 ‒ 3
y = 5
Consequently, the third point (check point) on the straight-line graph of the given equation is (2, 5).
(4.) Plot the points
Now, create the straight-line graph of the given equation by plotting the three points: (3/4, 0), (0, ‒3), and (2, 5) on a Cartesian (rectangular) coordinate system, and then use a straight edge to draw the straight line through all three plotted points. Draw the line past the two outer points and then draw an arrowhead at each “end” of the line to show that the line goes on indefinitely in both directions. NOTE: If the third point (2, 5)(the check point) is not on the drawn line, then go back and look for an error. The error was either made in finding the x- and y-intercepts, or the error was made in generating the coordinates of the check point, or both. When the error is found, make the appropriate correction(s), and then redraw the graph (straight line) of the given equation.
These are four steps that you can use to graph the given equation y = 4x ‒3 or any equation that is in the slope-intercept form for the equation of a straight line: y = mx + b.
Jocelyn Smith has been injured by a local driver who was not paying attention to the road while he was texting on his cellphone. Jocelyn Smith decides to sue the driver. She believes that her own pain and suffering and other damages are worth more than $100,000. In which Florida court should she file her legal action against the driver?
Answer: florida circuit court
Step-by-step explanation:
Based on the information given, the Florida court that she should file her legal action against the driver is the Florida circuit court.
The Florida Circuit Court is a state court where cases such as civil cases, felony, juvenile cases, family law and probate issues are heard. Therefore, based on the scenario given, the Florida circuit court will be applicable here.
Laura deposited $12,000 into an account that earns 8% interest. How much money will
she have in 5 years if the interest is compounded quarterly?
9514 1404 393
Answer:
$17,831.37
Step-by-step explanation:
The compound interest formula is useful.
A = P(1 +r/n)^(nt)
A = $12,000(1 + .08/4)^(4·5) = $12,000(1.02^20)
A = $17,831.37
Laura will have $17,831.37 in 5 years.
Proving trapezoid theorems Geometry
Answer:
ΔABD ≅ ΔACD by SAS, therefore;
[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
ABCD is a trapezoid [tex]{}[/tex] Given
[tex]\overline {BA} \cong \overline {CD}[/tex] [tex]{}[/tex] Given
[tex]\overline {BC} \parallel \overline {AD}[/tex] [tex]{}[/tex] Definition of a trapezoid
ABCD is an isosceles trapezoid [tex]{}[/tex] Left and right leg are equal
∠BAD ≅ ∠CDA [tex]{}[/tex] Base angle of an isosceles trapezoid are congruent
[tex]\overline {AD} \cong \overline {AD}[/tex] [tex]{}[/tex] Reflexive property
ΔABD ≅ ΔACD [tex]{}[/tex] By SAS rule of congruency
[tex]\overline {BD} \cong \overline {CA}[/tex] [tex]{}[/tex] CPCTC
CPCTC; Congruent Parts of Congruent Triangles are Congruent
SAS; Side Angle Side rule of congruency
Answer:
Step-by-step explanation:
just did it
Hai thinks there must be about 600 sprinkles on his donut. Hai starts by eating 25% of the donut. About how many sprinkles does he eat?
Answer:
45
Step-by-step explanation:
You can upgrade lighting at your factory to LED bulbs that coast 6.95 each and last an average of 5 years.
Answer:
$200
Step-by-step explanation:
Here is the full question
You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?
in 10 years, the bulbs would be changed twice
Total cost incurred per bulb in 10 years = (6.95 + $3) x 2 = $19.90
Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990
Cost per year = $1990 / (6.95 + $3) = $200