Answer:
y= -5x/4 + 3
Step-by-step explanation:
To find slope, use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so m(the slope) = (-7+2)/(8-4) = -5/4.
Now let us use (4,-2) in the equation [tex]y-y_1=m(x-x_1)[/tex].
So y - (-2) = (-5/4)(x - 4) (equation of the line)
y + 2 = -5/4(x - 4)
y + 2 = -5x/4 + 5
y= -5x/4 + 3 (slope-intercept form, also known as fully reduced form)
You could also use (8,-7) instead of (4,-2).
Can someone help me solve this for brainliest and a heart? Thank you!
which one is greater 6.65 or 6.650
Answer:
neither they are both equal
Step-by-step explanation:
Answer: there equal/ the same.
Step-by-step explanation:
A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A, B and C finish it, working together? In how many days will each of them finish it working alone?
Answer:
It takes A 30 days to finish the work aloneIt takes B 20 days to finish the work aloneIt takes C 60 days to finish the work aloneWorking together, it takes them 10 days to finish the workStep-by-step explanation:
Given;
[tex]\frac{1}{A} + \frac{1}{B} =\frac{1}{12} \\\\\frac{1}{B} + \frac{1}{C} = \frac{1}{15}\\\\\frac{1}{A} + \frac{1}{C} = \frac{1}{20}\\\\[/tex]
From given equations above;
[tex]\frac{1}{A} +\frac{1}{B} = \frac{1}{12}\\\\But, \frac{1}{B} =\frac{1}{15} -\frac{1}{C}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{C}= \frac{1}{12}\\\\Also, \frac{1}{C} = \frac{1}{20} -\frac{1}{A} \\\\ \frac{1}{A} +\frac{1}{15} -(\frac{1}{20} -\frac{1}{A})= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{20} +\frac{1}{A}= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{A} = \frac{1}{12} +\frac{1}{20}-\frac{1}{15}\\\\\frac{2}{A} = \frac{300+ 180-240}{3600} \\\\\frac{2}{A} =\frac{240}{3600}\\\\[/tex]
[tex]\frac{2}{A} = \frac{1}{15} \\\\A = 30 \ days[/tex]
solve for B;
[tex]\frac{1}{A} + \frac{1}{B} = \frac{1}{12}\\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{A} \\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{30}\\\\ \frac{1}{B} =\frac{5-2}{60} \\\\ \frac{1}{B} =\frac{3}{60}\\\\B = 20 \ days[/tex]
Solve for C;
[tex]\frac{1}{C} =\frac{1}{20} -\frac{1}{A}\\\\ \frac{1}{C} = \frac{1}{20} -\frac{1}{30}\\\\ \frac{1}{C} =\frac{3-2}{60} \\\\ \frac{1}{C} =\frac{1}{60}\\\\C = 60 \ days[/tex]
When they work together;
[tex]\frac{1}{A} +\frac{1}{B} +\frac{1}{C} =\frac{1}{y} \\\\\frac{1}{30} +\frac{1}{20} +\frac{1}{60} = \frac{1}{y}\\\\\frac{2+ 3+ 1}{60} =\frac{1}{y}\\\\\frac{6}{60} =\frac{1}{y}\\\\y = 10\ days[/tex]
There were 24 boys and 20 girls in a chess club last year. This year
the number of boys increased by 25% but the number of girls
decreased by 10%.
Find the overall percent change in membership of the club.
10
Answer:
35%
Step-by-step explanation:
If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.
A waiter had fifty-seven customers. If twenty-three left, how many customers would the waiter still have?
Answer:
34
Step-by-step explanation:
Answer:
34 customers.
Step-by-step explanation:
57-23=34
Select the correct answer.
A. 0.25
B. 0.33
C. 0.5
D. 0.75
First to answer this correctly will get a brainlliest.
Evaluate
15/r when r=5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{r} =\frac{15}{5}=3[/tex]
Seafoodgumbo,a traditional MardiGras dish, uses 12 cups of chicken broth for each 1 1/ 4 cups of flour. Mr. Clark used 8 3 /4 cups of flour for his gumbo.How many cups of chicken broth did he use?
Answer:
84 cups of chicken broth
Step-by-step explanation:
Ratio of chicken broth to flour = 12 cups : 1 1/4 cups
Mr. Clark used 8 3 /4 cups of flour for his gumbo.
How many cups of chicken broth did he use?
Let x = cups of chicken broth he used
Ratio of chicken broth to flour = x cups : 8 3/4 cups
Equate the ratios
12 cups : 1 1/4 cups = x cups : 8 3/4 cups
12 ÷ 5/4 = x ÷ 35 / 4
12 * 4/5 = x * 4/35
48 / 5 = 4x / 35
Cross product
48 * 35 = 5 * 4x
1,680 = 20x
x = 1,680 / 20
= 84
x = 84 cups
Factorise the expression 6x^2-13x+6 and hence solve the equation 6x^2-13x+6=0
Answer:
Part A
The factored form of the expression, 6·x² - 13·x + 6 is (2·x - 3) × (3·x - 2)
Part B
The solution of the equation 6·x² - 13·x + 6 = 0 are x = 3/2 or x = 2/3
Step-by-step explanation:
Part A
The given expression to factorize is 6·x² - 13·x + 6, which can be written as follows;
6·x² - 13·x + 6 = 6·x² - 4·x - 9·x + 6
The 13·x is split at - 4·x - 9·x
6·x² - 4·x - 9·x + 6
2·x·(3·x -2) - 3·(3·x - 2)
Bringing out the common factor (3·x - 2) gives;
(2·x - 3) × (3·x - 2)
Therefore, the expression 6·x² - 13·x + 6 in factored form is (2·x - 3) × (3·x - 2)
Part B
Solving the equation, 6·x² - 13·x + 6 = 0, therefore gives;
6·x² - 13·x + 6 = (2·x - 3) × (3·x - 2) = 0
Therefore, either (2·x - 3) = 0 and x = 3/2 or (3·x - 2) = 0 and x = 2/3
From which we have 6·x² - 13·x + 6 = 0 when x = 3/2 or 2/3 and x = 3/2 or x = 2/3 are the solution of the equation 6·x² - 13·x + 6 = 0.
find the median for each set of data 4,12,7,6,10,5,11,8
Answer:
7.5
Step-by-step explanation:
The median is the middle data in a set. To find the median first order the set for least to greatest. In this case, 4,5,6,7,8,10,11,12. Then find the number in the middle, however, because there is an odd number of data you must take the mean of the two middle numbers. The two numbers in the middle are 7 and 8, so to find the mean of these numbers add them then divide by the number of terms, aka 2. (7+8)/2=7.5, therefore the median must be 7.5.
Randy wants to attach a 23 foot string of lights to the top of the 13 foot mast of his sail boat. How far from the base of the mast should he attach the end of the light string?
Answer:
distance from the base where string is attached = 18.97 feet
Step-by-step explanation:
The diagram attached to this solution gives a right-angled triangle formed by attaching the string to the top of the mast. the distance from the base is calculated as follows:
(hypotenuse)² = (opposite)² + (adjacent)²
23² = 13² + d²
529 = 169 + d²
d² = 529 - 169
d² = 360
d = √(360)
d = 18.97 feet
what day in june will jessica be working at both locations
Answer:
Not enought information
Step-by-step explanation:
Maybe put a picture?
Please help i dont get this!
Answer:
The other one is -8 this is because the point on the graph is multiplied by 2
Step-by-step explanation:
(-1, -2)m= -1 WHATS the answer
Answer:
(-1,-2)*m-(-1)=0
Step-by-step explanation:
logan enjoys taking his dog to the park. he walks doen hickory st. turns into maple ave. to meet his friend, brett, and then continues on maple ave. to the park. what is the approximate distance from bretts house to the park
Answer:
ummm there is no chart or multiple choice so imma go off a limb here and say 1/2 mile
hope this helps
sorry if its wrong i had no chart
Step-by-step explanation:
Answer:
2 miles
Step-by-step explanation:
he walks to to maple avenue to meet his friend is a mile,so to continue his walk on maple avenue to the park is another mile.
Find two numbers that Multiply to -40 and add to 6
HELP ME ASAP PLEASE!!
Answer:
a=45 b=65
Step-by-step explanation:
You know that all the angle measures of a triangle add to 180. So the equation would be angle a + angle b + 70 = 180. Subsitute and simplify and you get 16x -2 + 70 = 180. Subtract 70 from 180 to get 16x -2=110 add 2 to get 16x =110. Divide each side by 16 to gte x=7. Subsitute x = 7 into the equations for angle a and angle b to get the answers above
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below: A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the S The moon is, on average 238,900 miles from the Earth and the Sun is roughly 93,000,000 miles from the Earth. What is the measure of angle x? Round to the nearest hundredth. Note. This is a very small angle.
Answer:
0.15
Step-by-step explanation:
Using trigonometry :
Tanθ = opposite / Adjacent
Opposite = distance between earth and sun = 238,900
Adjacent = distance between earth and moon = 93,000,000
Tanx = 238900 / 93000000
Tanx = 0.0025688
x = tan^-1 (0.0025688)
= 0.1471820°
Answer:
0.15
Step-by-step explanation:
Took the test.
find the HCF and LCM of 110 and 220 by prime factorisation what do you observe.
Answer:
They are both the same numbers- its 110 and 220.
Step-by-step explanation:
GCF= 2 x 5 x 11 = 110
LCM= 2 x 2 x 5 x 11 = 220
What is the slope of 7,-2 and -3,3
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1
3-(-2)/ -3-7
5/-10
= -1/2
What is the value of
(
28
÷
7.2
)
⋅
(
−
36
)
?
Answer:
-140
Step-by-step explanation:
SOMEONE HELP PLZ!!!!!!
Answer:b
Step-by-step explanation:
The point slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
What is the equation in slope-intercept form?
A. y = -2x + 12
B. y= -2x +8
C. y = -2x -7
D. y = -2x -3
plz answer!!! only if correct.
Answer:
90°Step-by-step explanation:
Sum of angles in triangle equals to 180°
∠R = 180° - (∠S + ∠T)∠R = 180° - (29° + 61°) = 180° - 90° = 90°Ana decides to start a lemonade stand. She goes to the store to buy her supplies, and those cost her $50. The city of Richmond also requires anna to pay a fee of $5 per day to set up lemonade stand at the park. Write the equation for her total cost (c) in terms of (d) days.
Answer:
[tex]c=5d+50[/tex]
Step-by-step explanation:
Given that:
Supplies of the lemonade bought at price = $50
Money paid per day to setup lemonade stand at the park = $5
To find:
Equation of her total cost.
Solution:
Let the number of days = [tex]d[/tex]
Per day cost of setting up the lemonade stand is given as $5.
If the number of days are [tex]d[/tex], then the cost of [tex]d[/tex] days can be found by multiplying the per day cost with the number of days.
Therefore, the expression for cost for [tex]d[/tex] number of days = [tex]\$5d[/tex]
Total cost for [tex]d[/tex] number of days can be found by adding the cost of supplies and cost for [tex]d[/tex] number of days for setting up the stand:
[tex]c=5d+50[/tex]
Naomi measured the floor of her bedroom, which is rectangular. It is 8 feet wide and 10 feet from one corner to the opposite corner. How long is the bedroom unit
Answer:
18 feet
Step-by-step explanation:
5x-2x(x-1)=???????????????????????????????
Answer:
7x-2x"2
Step-by-step explanation:
Answer:
it is
7x-2x^2
Step-by-step explanation:
5x+2x-2x^2 = 7x-2x^2
PLS ANSWER FAST!!!
a rate is a ratio that compares
A) a part to a part
B) a part to a whole
C) quantites with different units
D) quantities with the same units
Answer:
c
Step-by-step explanation:
A rate is a ratio that compares quantites with different units.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A rate is a comparison of two quantities that have different units, such as miles per hour, dollars per gallon, or meters per second.
A rate can be expressed as a fraction or a ratio, with the numerator representing the quantity being measured and the denominator representing the unit of measurement.
Hence, a rate is a ratio that compares quantites with different units.
To learn more on Ratios click:
https://brainly.com/question/1504221
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A math problem that I need an answer for.