Answer:
2x+78=5x+15
78-15=5x-2x
3x=63
x=21
What is the measure of angle 1
Ashley received a $24 discount on a radio she bought for $98.00. What is the percent of discount she saved?
Answer:
24.49
Step-by-step explanation:
Answer:
24.489%, but most of the time they only go to 2 decimal places so 24.49%
Step-by-step explanation:
(Score for Question 2: of 27 points) 2. Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables. Sidewalk 1 х y 2 17 0 5 Sidewalk 2 х у 1 20 3 26 (a) Write the equation for Sidewalk 1 in slope-intercept form. (b) Write the equation for Sidewalk 2 in point-slope form and then convert to slope-intercept form. (c) Is the system of equations consistent independent, coincident, or inconsistent? Explain. a. Note: Review 2.11 Strange Solutions and 5.05 Classifying Systems if you're not sure where to start. (d) Use the substitution or elimination method to solve your system, and explain which one you picked. If the two sidewalks intersect, what are the coordinates of the point of intersection?
PLS HURRRRRRY i need this answer the real one and step by step pls if u dont know it dont try
Answer:
Step-by-step explanation:
From the question, I couldn't really tell what the chart looks like, so I am guessing it looks like this:
Sidewalk 1:
x | y
2 | 17
0 | 5
Sidewalk 2:
x | y
1 | 20
3 | 26
Part a.
Now, we have to write the equation for sidewalk 1 in slope-intercept form.
Slope-intercept form is represented as this: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. Because this is true for all values on the line, we can plug in values of the chart for Sidewalk 1.
[tex]17=2m+b\\5=0m+b[/tex]
Subtracting the second equation from the first, we have
[tex]12=2m[/tex], and [tex]m = 6[/tex].
Now, we can just plug 6 back into the first equation to get:
[tex]17=2(6)+b[/tex] to get [tex]17 = 12 + b[/tex], and then [tex]b = 5[/tex].
Now, we can just rewrite slope intercept form for Sidewalk 1 to have
[tex]y=6x+5[/tex].
Part b.
Point-slope form is represented as [tex]y-y_1=m(x-x_1)[/tex], where x and y are the coordinates of one point, and x1 and y1 are the coordinates of another point on the line. Because the chart represented for Sidewalk 2 includes a point, namely [tex](1, 20)[/tex] and [tex](3, 26)[/tex], we can plug this in and solve for the slope:
[tex]26-20=m(3-1)[/tex]
This is it in point-slope form. Because the second part of the question asks us to convert to slope-intercept form, we must solve for the slope, or m.
Expanding, we have [tex]26-20=3m-m[/tex]
Combining like terms, we have [tex]6 = 2m[/tex], and then [tex]3 = m[/tex]. Now, we need to plug a point and the slope back into point-slope form, not needing another point. We choose [tex](1, 20)[/tex], even though [tex](3, 26)[/tex] works just as well.
[tex]y-20=3(x-1)[/tex]
Expanding, we have [tex]y-20=3x-3[/tex]
Adding 20 to both sides, we have [tex]y=3x+17[/tex]
Part c. and d.
We see that both equations do not have the same slope, so then they are not parallel, meaning they don't have no solutions. If they have a solution, we can set them equal to each other.
[tex]3x+17=6x+5[/tex]
Subtracting 3x, we have [tex]17=3x+5[/tex]
Subtracting 5, we have [tex]12 = 3x[/tex]
Dividing by 3, we have [tex]x = 4[/tex].
Because there is no x = x, or anything like that, the solution does not have infinite solutions and therefore has one solution, meaning it is consistent independent.
Lauren is going to invest in an account paying an interest rate of 3.4% compounded
annually. How much would Lauren need to invest, to the nearest cent, for the value of
the account to reach $13,000 in 8 years?
Please look at picture for question.
Answer:
Amount spent on breakfest each day: 2B+J
Amount spent on granola bars each day: 2B
Amount spend on juice each day: J
Number of days buys breakfast: 7
Hello Good morning/evening/afternoon !
Pls Help ?!
Answer: y = 3/5x + 6
Step-by-step explanation: Slope intercept form is y = mx + b
We must convert your problem into this.
3x - 5y = -30
-5y = -30 - 3x
-5y = -3x - 30
y = (-3x - 30)/-5
y = 3/5x + 6
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3 bombas de agua llenan una piscina en 10 días trabajando 5 horas diarias.
Si hay 5 bombas de agua, ¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?
5 bombas deben trabajar durante 4 dias para llenar la piscina.
¿cuántos días demoran en llenar la misma piscina, si trabajan 8 horas diarias?Cada bomba trabaja a un rate (razon de trabajo) R.
Sabemos que 3 bombas, trabajando 5 horas diarias por 10 días (un total de 50 horas), llena una piscina, entonces:
(3R)*50 horas= 1 piscina.
R = (1 piscina)/(150 horas).
Es decir, una sola bomba tarda 150 horas en llenar una piscina.
En el caso de que 5 bombas trabajen, tenemos que para llenar una piscina tienen que trabajar un tiempo T.
5*((1 piscina)/(150 horas))*T = 1 piscina.
(1 piscina)/(30 horas)
Resolviendo para T, obtenemos:
T = 1 piscina*(30 horas)/(1 piscina) = 30 horas.
Y sabemos que trabajan 8 horas diarias, es decir, las bombas deben trabajar durante:
30/8 = 3.75 ≈ 4 días.
5 bombas deben trabajar durante 4 dias para llenar la piscina.
Sí quieres aprender más sobre razones de trabajo.
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The perimeter of the figure below is 32.6 m. Find the length of the missing side.
Answer: 4.6
Step-by-step explanation: let the missing length be x
2+2+4.8+4.8+4.8+4.8+.4.8+x=32.6
28+x=32.6
x=32.6-28
x=4.6
A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating a procedure used to determine the age of an object the researcher discovers that the fossil is 3600. Find the percent error
Answer:
11.1
Step-by-step explanation:
The percentage error for the given data will be 12.5%
What is the percentage?According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.
The percentage error will be calculated as:-
percent error = (|experimental value - theoretical value| / theoretical value) x 100
In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:
percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%
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4. Find the sum of all the numbers from 100 to 199 that are not divisible by 13.
What is the formula for
this?
There are 100 numbers in the range 100-199. Find the smallest and largest multiple of 13 in this range. We have
104 = 8•13
195 = 15•13
so there are 15 - 8 + 1 = 8 multiples of 13 between 100 and 199.
Then the sum we want is
[tex]\displaystyle \sum_{k=100}^{199} k - \sum_{\ell=8}^{15}13\ell[/tex]
or equivalently,
(100 + 101 + 102 + … + 199) - 13 (8 + 9 + … + 15)
To compute these sums, recall the following formula:
[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]
Then
[tex]\displaystyle \sum_{k=100}^{199} k = \sum_{k=1}^{199} k - \sum_{k=1}^{99} k = \frac{199\cdot200}2 - \frac{99\cdot100}2 = 14,950[/tex]
and
[tex]\displaystyle \sum_{\ell=8}^{15} 13\ell = 13 \left(\sum_{\ell=1}^{15} \ell - \sum_{\ell=1}^7 \ell\right) = 13 \left(\frac{15\cdot16}2 - \frac{7\cdot8}2\right) = 1,196[/tex]
which means the sum we want is 14,950 - 1,196 = 13,754.
Write a linear function f
with f(5)=−1
and f(0)=−5
.
Answer:
f(x) = 4/5x - 5
Step-by-step explanation:
y-mx+b
m=-5-(-1)/0-5=4/5
y = 4/5x + (-5)
y = 4/5x - 5
HELP ME OUT PLEASE!!!!!!!
Which equation could represent the relationship shown in the scatter plot?
A) y = -3x - 2
B) y = 9x - 1/2
C) y = -3/4x + 10
D) y = -2/3x + 1
Answer:
option C is correct.
according to me..
hope it helpful for you.
1 2/15 + -3 1/2 in simplest form
A Norman window is a window with a semi-circle on top of regular rectangular window. What should be the dimensions of the rectangular part of the norman window to allow in as much light as possible, if there are only 12 ft of the frame material.
Answer:
the answer is 12 feet
Step-by-step explanation:
Why is this so hard?
Answer:
Nothing is hard if you put your mind to it.
Step-by-step explanation:
Please helpppp I will mark you branliest pleaseee
Answer:
no
Step-by-step explanation:
the ratios shown in this table are not proportionate. You will also never get (0,0) in this table.
Write as a fraction
3÷151
Answer:
3/151
Step-by-step explanation:
That's the answer
PLEASE HELP!!!!
On a Saturday, a library checked out 117 books. If 36 of the books were fiction, what is the ratio
of non-fiction books to fiction books checked out?
select all the ways you can describe the given polygon
Answer:
Isoceles and obtuse
Step-by-step explanation:
A ticket for a show costs $114.50. A parking pass costs $13.00. Let x represent the number of tickets and y represent the cost. How much does it cost for 2 tickets and a parking pass?
Answer:
X multiplied by Y is $229 plus a parking pass being $242
Step-by-step explanation:
X = 2 (2tickets)
Y = $114.50 (cost of one)
multiplying the tickets by the cost of one will give you $229 and the cost for the parking pass being $13.00 well 29 + 13 = 42 adding 42 to the 200 we left gives you $242 for 2 tickets and a parking pass
The temperature at the North Pole averages -36࿁F. This past winter, the temperature averaged -47࿁F. Write a correct statement that compares the absolute values of the two temperatures
Comparing the temperature average, it can be concluded that the current average temperature is higher than the past average by 11°F
The temperature difference between the present and past winter can be expressed thus :
Current temperature average = - 36°F Past average = - 47°FTemperature difference :
-36 - (-47) = 11°FTherefore, we can conclude that the current average temperature is higher than the past average by 11°F
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What is 6 3/4 percent of 800
Answer:
319973/400
Step-by-step explanation:
800 - 27/4%
800 - ( 27/4 × 1/100)
800 - 27/400
= 319973/400
1.What is m + 5n where m = 1 and n = 5?
A. 26
B. 52
C. 25
D. 62
ANSWER:____
2.What is 5m + 5n where m = 10 and n = -5?
A. 25
B. 26
C 62
D. 52
ANSWER:____
ADD EXPLANATION IF NECESSARY :)
Answer:
Answer# 1: A. 26
Answer# 2: A. 25
Step-by-step explanation:1. What is m + 5n where m = 1 and n = 5?
Substitute 1 for "m" and 5 for "n":
[tex]\sf (1)+5(5)[/tex]
Multiply 5*5 =25
[tex](1)+25[/tex]
Add :
[tex]\sf 26[/tex]
____________________
2. What is 5m + 5n where m = 10 and n = -5?
Substitute 10 for "m" and -5 for "n".
[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]
Multiply 5 * 10= 50
[tex]\sf 50+5\left(-5\right)[/tex]
Multiply 5 * -5 = -25
[tex]\sf 50-25[/tex]
Subtract:
[tex]\sf 25[/tex]
___________________________________
A group of 4 friends went out for a special dinner. the items they ordered are listed below
24.95+18.96+17.55+23.14+12.00=96.60
Part B: The four friends decided to split the bill evenly. How much does each friend owe
24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60
4 divided by 12 is 3
Add or subtract. Write fractions in simplest form.
-9.24 + (-2.89)
how do i do this problem? please help, i will mark you brainliest!!
Answer:
-12.13
Step-by-step explanation:
To add two negative numbers, drop the negative signs and add the two positive numbers. Then make the answer negative.
-9.24 + (-2.89) =
We are adding two negative numbers, -9.24 and -2.89.
Step 1: ignore the negative signs and add the number 9.24 + 2.89
9.24 + 2.89 = 12.13
Step 2: the answer is negative, so add a negative sign to the sum above.
-9.24 + (-2.89) = -12.13
How much is f(x) = 3(4)x
Answer:
f ( x ) = 12 x
Step-by-step explanation: 3x4=12 so that makes it f(x)=12x
The property taxes on a business office were $2340. What was the tax rate if the business office was valued at $260,000? Follow the problem-solving process and
round
your answer to the nearest hundredth of a percent, if necessary.
Answer:
It is 2447/150,000
=0.0163=1.63%
Step-by-step explanation:
On average, Laylah drinks 1/2 of a 6-ounce glass of water in 2/3 hour. What is 1/2 of 6?
Answer:3
Step-by-step explanation:
1/2 of 6 is 3 because (6x1)/2=6/2 which equals 3
A pair of shoes is originally sold for $85. Currently, there is a 15% off sale. How much would the pair of shoes cost after the discount? Group of answer choices
Answer:
$72.75
Step-by-step explanation:
15% of $85 is $12.75
$85 - $12.75 = $72.25
Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $20 each week. Sylvia decides to put in an additional 20% of the amount in the account each week. Complete the sentence to answer the question.
Answer:
440$
Step-by-step explanation: