solving simultaneously
let equation 1 be -3-3y=12x
let equation 2 be -5-y=2x
equation 2 make y subject of formula=> y=-5-2x
replace (y=-5-2x) in equation 1
-3-3(-5-2x)=12x
solve for x
x=2
replace x=2 in equation 2
y=-5-2(2)
y=-9
Therefore, x=2 y=-9
Find the value of the variable if P is between J & K.
JP = 2x ; PK = 7x ; JK = 27
a. 2
b. 5
c. 9
d. 3
Answer:
D
Step-by-step explanation:
well you see I just guessed :D
A sewer line slopes 1/4" per foot grade. Calculate the total fall in 30 feet.
The answer is:
The total fall in 30 feet will be 7.5 inches.
Why?To calculate the total fall in 30 feet, given the slope (decreasing rate for this case), we need to use the following equation:
[tex]TotalFall=\frac{\frac{1}{4} inch}{foot}*FeetAmount[/tex]
We are asked to calculate the total fall in 30 feet, so, substituting it into the equation, we have:
[tex]TotalFall=\frac{\frac{1}{4} inch}{foot}*30feet[/tex]
[tex]TotalFall=7.5inch[/tex]
Hence, we have that the total fall in 30 feet will be 7.5 inches.
Have a nice day!
Final answer:
To calculate the total fall in elevation for a sewer line with a 1/4" per foot grade over 30 feet, simply multiply 1/4" by 30, resulting in a total fall of 7.5 inches.
Explanation:
The student is asking how to calculate the total fall in elevation for a sewer line that has a consistent slope over a given distance. The slope given is 1/4" per foot of sewer line. To find the total fall over 30 feet, you need to multiply the slope per foot with the total distance.
Calculation:
Determine the slope per foot, which is 1/4".
Multiply this slope by the total distance, which is 30 feet.
1/4" x 30 = 7.5". This is the total fall in elevation over 30 feet.
The total fall in elevation for a sewer line over 30 feet, with a slope of 1/4" per foot, is 7.5 inches.
Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3).
it would be y = −1/2x + 5
The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply. a x2 + 2x – 24 = 0 b x(x + 2) = 24 c x2 + (x + 2)2 = 100 d 0.5(x)(x + 2) = 24 e x2 + 2x – 48 = 0 f x2 + (x + 2)2 = 24
Given : A = 24 sq feet
A = 0.5 base x height
base = x , height = x+2
A = 0.5 x(x+2) = 24 sq feet
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
To check the rest un-wrap the bracket:
x^2 + (x+2)^2 = 24
x^2 + x^2 + 4 + 4x = 24
2x^2 + 4x - 20 = 0
x^2 + 2x - 10= 0 (NO)
Likewise:
x^2 + (x+2)^2 = 100
x^2 + x^2 +4 + 4x = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
3) x^2 + 2x - 48 = 0 (F)
To sum up: that's what apply:
1) 0.5 x(x+2) = 24 (A)
2) x^2 + 2x - 48 = 0 (D)
3) x^2 + 2x - 48 = 0 (F)
Please help me out with this
Answer:
10.8 ft
Step-by-step explanation:
The height from the base can be found from the formula for the volume. Fill in the given information and solve for the height.
V = (1/3)Bh = (1/3)s²·h
432 ft³ = (1/3)(12 ft)²·h . . . . . fill in side length and volume
h = 432 ft³/(48 ft²) = 9 ft . . . divide by the coefficient of h
The slant height is the hypotenuse of a right triangle with this height as one leg and half the side length as the other leg.
slant height = √((9 ft)² +(12 ft/2)²) = √(117 ft²) = 3√13 ft
slant height ≈ 18.817 ft ≈ 18.8 ft
Which of these is not a possible r-value?
–0.90, –0.67, 0.20, 1.75
a. 1.75
b. -0.90
c. -0.67
d. 0.20
Answer:
a. 1.75
Step-by-step explanation:
r values, or the correlation coefficient must be between -1 and 1, inclusive
-1 is a perfect negative correlation
0 is no correlation
+1 is a perfect positive correlation
1.75 is not between -1 and 1
Janet can do a job in 3 hours while Garry can do the same job in 2 hours. If Janet works for an hour before Garry began helping her, how long will it take them to finish the job together?
Answer:
4/5 hour (48 minutes)
Step-by-step explanation:
Janet works at the rate of ...
(1 job)/(3 hours) = (1/3) job/hour
So, in 1 hour, she has worked 1/3 of the job, leaving 2/3 of the job remaining when Garry shows up.
Garry works at the rate of ...
(1 job)/(2 hours) = 1/2 job/hour
So, together they work at the rate of ...
(1/3 job/hour) + (1/2 job/hour) = (2/6 +3/6) job/hour = 5/6 job/hour
Then the time it takes to do the remaining 2/3 job is ...
(2/3 job)/(5/6 job/hour) = (2/3·6/5) hour = 4/5 hour
It will take 4/5 hour for them to finish the job together.
Answer: 4/5 of an hour or 48 minutes
Step-by-step explanation:
Janet's Rate : 1 job / 3 hours = 1/3 job/hour
In 1 hour, 1/3 of the job is already finished by her, so there is 2/3 of the job left.
Garry's Rate:
1 job / 2 hours = 1/2 job/hour
Janet an Garry's Rate:
1/3 job/hour + 1/2 job/hour = 2/6 +3/6 job/hour = 5/6 job/hour
Time to do remaining 2/3 of job:
2/3 job / 5/6 job/hour = 2/3 * 6/5 hour = 4/5 hour
Answer:
It will take 4/5 of an hour for them to finish the job together.
I Hope This Helps!
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of m. (5m3 + 3mn2) + (-7m2n + mn2 - n3) - (mn2 + 2m3)
Answer:
[tex]3m^3-7m^2n+3mn^2-n^3[/tex]
Step-by-step explanation:
[tex](5m^3 + 3mn^2) + (-7m^2n + mn^2 - n^3) - (mn^2 + 2m^3)\\Solving:\\5m^3 + 3mn^2 -7m^2n + mn^2 - n^3 - mn^2 - 2m^3\\Adding\,\,like\,\,terms\,\,\\5m^3 -2m^3+ 3mn^2 -mn^2+mn^2-7m^2n-n^3\\3m^3 +3mn^2-7m^2n-n^3\\Arranging\,\,in\,\,desecnding\,\,order\,\,in\,\,power\,\,of\,\,m\\3m^3-7m^2n+3mn^2-n^3[/tex]
Please help, Thanks.
Answer:
C
Step-by-step explanation:
49x² + 28xy + 4y² ← is a perfect square of the form
(ax + by)² = a²x² + 2abxy + b²y²
49 = 7² ⇒ a = 7 and 4 = 2² ⇒ b = 2
2ab = 2 × 7 × 2 = 28
Hence
49x² + 28xy + 4y² = (7x + 2y)²
with factor 7x + 2y ⇒ C
If m<BEG = (19x + 3)° and m<EGC = (m<GCB + 4x)°, which of the following statements is true about quadrilateral BEGC? Select all that apply.
A. x=4
B. m<BEG = 72°
C. m<EGC = 120°
D. m<GCB + m<CBE = 180°
E. m<BEG + m<EGC = 230°
F. The sum of all exterior angles of BEGC is equal to 360°.
Answer:
The sum of all exterior angles of BEGC is equal to 360° ⇒ answer F only
Step-by-step explanation:
* Lets revise some facts about the quadrilateral
- Quadrilateral is a polygon of 4 sides
- The sum of measures of the interior angles of any quadrilateral is 360°
- The sum of measures of the exterior angles of any quadrilateral is 360°
* Lets solve the problem
- DEGC is a quadrilateral
∵ m∠BEG = (19x + 3)°
∵ m∠EGC = (m∠GCB + 4x)°
∵ The sum of the measures of its interior angles is 360°
∴ m∠BEG + m∠EGC + m∠GCB + m∠CBE = 360
∴ (19x + 3) + (m∠GCB + 4x) + m∠GCB + m∠CBE = 360 ⇒ add the like terms
∴ (19x + 4x) + (m∠GCB + m∠GCB) + m∠CBE + 3 = 360 ⇒ -3 from both sides
∴ 23x + 2m∠GCB + m∠CBE = 375
∵ The sum of measures of the exterior angles of any quadrilateral is 360°
∴ The statement in answer F is only true
Answer:
F
Step-by-step explanation:
Graph the functions on the same coordinate plane.
f(x)= x^2+2x−8
g(x)= −x^2+4
What are the solutions to the equation f(x)=g(x)?
Select each correct answer.
-3
-2
0
1
2
Answer:
select -3 and 2
Step-by-step explanation:
f(x)=g(x) means set them equal and solve for x
x^2+2x-8=-x^2+4
Add x^2 on both sides and subtract 4 on both sides.
2x^2+2x-12=0
Divide both sides by 2
x^2+x-6=0
Think of two numbers that multiply to be -6 and add up to be 1
that is 3 and -2
so The factored form is (x+3)(x-2)=0
So x=-3 or x=2
if rick has monthly expenses that total $2600 and he makes $6900 a month what is his debt to income ratio? Will the bank give him mortgage based on this information?
8 / 4 * 5 is 20 according to the calculator.
8 / 4 * 5 is 2/5 according to PEMDAS.
Someone explain which one is correct?
Answer:
the answer is 10. you go left to right since the equation falls under the peMdas part
What is the solution to this equation?
4x + 16 - x = 22 + 6
Answer:
x=4
Step-by-step explanation:
Simplifying
4x + 16 + -1x = 22 + 6
Reorder the terms:
16 + 4x + -1x = 22 + 6
Combine like terms: 4x + -1x = 3x
16 + 3x = 22 + 6
Combine like terms: 22 + 6 = 28
16 + 3x = 28
Solving
16 + 3x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 3x = 28 + -16
Combine like terms: 16 + -16 = 0
0 + 3x = 28 + -16
3x = 28 + -16
Combine like terms: 28 + -16 = 12
3x = 12
Divide each side by '3'.
x = 4
Simplifying
x = 4
Hope this helps! And please correct me if I'm wrong so others can have the correct answer.
For this case we must solve the following equation:
[tex]4x + 16-x = 22 +6[/tex]
We add similar terms on both sides of equality:
[tex]3x + 16 = 28[/tex]
We subtract 16 from both sides of the equation:
[tex]3x = 28-16\\3x = 12[/tex]
We divide between 3 on both sides of the equation:
[tex]x = \frac {12} {3}\\x = 4[/tex]
ANswer:
[tex]x = 4[/tex]
help please thanks!!!!!
Answer:
B
Step-by-step explanation:
The interquartile range is the difference between the upper quartile ( the right side of the box plot ) and the lower quartile ( the left side of the box plot )
For cars this is 29 - 22 = 7 and
For minivans is 21 - 18 = 3
Answer:
The second one, cars 7mpg, minivans 3mpg
Step-by-step explanation:
This is because if you subtrect the upper quartile from the lower quartile you get a range this range is the answer to the queestion.
A spinner has 10 equally sized sections, 6 of which are gray and 4 of which are blue. The spinner
is spun twice. What is the probability that the first spin lands on blue and the second spin lands
en gray
Write your answer as a fraction in simplest form.
Answer:
6/25
Step-by-step explanation:
6/10 chance for grey.
4/10 chance for blue.
And = Multiplication
Or = Addition
6/10 times 4/10 = 24/100
24% chance or 6/25 chance it will land on grey and blue.
(Theoretical Probability)
The probability that the first spin lands on blue and the second spin lands on gray is 6/25.
The probability of the first spin landing on blue and the second spin landing on gray can be calculated as follows:
Probability of landing on blue on the first spin = 4/10 = 2/5
Probability of landing on gray on the second spin = 6/10 = 3/5
Multiply the probabilities of each spin: (2/5) * (3/5) = 6/25
Therefore, the probability that the first spin lands on blue and the second spin lands on gray is 6/25.
The hundredth's digit is twice the size of the tenth's digit. The unit's digit is 3 less than the tenth's digit.
Answer:
1.48
Step-by-step explanation:
4 times 2 = 8
4 minus 3 = 1
The three-digit no. is 2a a a - 3 whose hundredth digit is twice the size of the tenth digit. The unit's digit is 3 less than the tenth digit.
What is the standard decimal form of numbers?The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.
Each digit has a face value and a place value.
Let, The tens digit be 'a'.
Given, The hundredth's digit is twice the size of the tenth's digit.
∴ The hundredth digit be '2a' and the unit digit is (a - 3).
So, The 3-digit no. is 2a a a - 3, where a is, {2, 3, 4}.
learn more about face and place value here :
https://brainly.com/question/23719802
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Pleaseeeee help me!!!!!!!
Answer:
118.3 m²
Step-by-step explanation:
The area (A) of a triangle is
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Note the legs 13 and 18.2 are at right angles to each other, hence
A = 0.5 × 13 × 18.2 = 118.3
If 2x−3y=11 and 3x+15=0, what is the value of y? These are the choices given:
a) -7 b)-5 c)-1/3 d)3 e)10
Answer:
A.-7
Step-by-step explanation:
If [tex]2x-3y=11[/tex] and [tex]3x+15=0[/tex]
To know the value of y we need to clear x in the equation [tex]3x+15=0[/tex] and the result replace it in [tex]2x-3y=11[/tex].
Then, let's clear x in the equation [tex]3x+15=0[/tex]
[tex]3x=-15\\x=-\frac{15}{3} =-5[/tex]
Substituting the value of x in the equation [tex]2x-3y=11[/tex]
[tex]2(-5)-3y=11\\-10-3y=11\\-3y=11+10\\y=\frac{11+10}{-3} \\y=\frac{21}{-3}\\ y=-7[/tex]
Answer:
a) y = -7.
Step-by-step explanation:
2x − 3y = 11
3x + 15 = 0
From the second equation:
3x = -15
x = -5.
Substitute this value in the first equation:
2(-5) - 3y = 11
-10 - 11 = 3y
3y = -21
y = -7.
The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?
Recall The Formula: Cube V = S^3
A. S= [tex] \sqrt[3]{27} [/tex]
B. S= 3+3+3
C. S= [tex] \sqrt{27} [/tex]
D. S= 3 times 3 times 3
Answer:
s ^3sqrt27 or A
Step-by-step explanation:
What is the volume?
Please help I am confusion
Why is this one Kansas but this one isn’t Arkansas AMERICA EXPLAIN WHAT DO YOU MEAN ARKANSAS
That is because the English language is three child languages standing on each other's shoulders in long trenchcoat pretending to be an adult language.
Also, your answer is 32,000in^3
The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x.
Write the equation for g(x).
A. g(x) = 2x^ – 1
B. g(x) = 2x^+ 1
C. g(x) = 2x – 1
D. g(x) = 2x + 1
Answer:
c is the answer
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the smallest integer greater than √148 ?
13
15
14
12
11
Answer 13;
because sqrt148~12.16
Answer:
The smallest integer greater than √148 is 13
Step-by-step explanation:
√169 = 13
√144 = 12
so √148 is between 12 and 13
12 < √148 < 13
On those option choices
11 and 12 are smaller than √148
13, 14 and 15 are greater than √148
The smallest integer greater than √148 is 13
Determine whether the sequence is arithmetic, geometric, both, or neither. 1, 4, 9, 16, 25, . . .
Answer:
neither
Step-by-step explanation:
First differences are 3, 5, 7, 9, and the differences of these (2nd differences) are constant at 2. The degree of the polynomial function describing the sequence is equal to the number of the differences that are constant. Here, that is 2nd differences, so the sequences is described by a 2nd-degree (quadratic) polynomial.
It is not linear (arithmetic) or exponential (first differences have a common ratio).
A bag contains blue yellow red and orange blocks. Tai randomly chose a block from the bag. Recorded the color and then put it back. He did this 10 times. He chose 6 blue, 2 yellow, 1 red and 1 orange
A.) based on Tais results, find the experimental probability of selecting a blue block and the experimental probability of selecting a red block?
B.) he dumped out the blocks to find 16 blue, 10 yellow, 8 red, and 6 orange blocks. What is the theoretical probability of selecting a blue block? A red?
C.) are the experimental probabilities you found in “A” equal to the ones you found in “B”? Explain why or why not.
D.) If he randomly selects 200 blocks from the bag(replacing before grabbing a new one) about how many times can he expect to grab each color?
Answer:
A)
Blue: [tex]\frac{6}{10} =\frac{3}{5}[/tex]
Red: [tex]\frac{1}{10}[/tex]
B)
Blue: [tex]\frac{16}{40} =\frac{2}{5}[/tex]
Red: [tex]\frac{8}{40} =\frac{1}{5}[/tex]
C)
No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.
D)
Blue: 80
Yellow: 50
Red: 40
Orange: 30
Based on the data table provided below, how many people would we expect to pick a snake as their favorite animal if 440 people were asked their preferences? Favorite Animal Number Panda 13 Snake 10 Tiger 17 Dolphin 15 104 80 136 120
Answer:
80 just did it in a lesson
Step-by-step explanation:
Answer:
Yeah the other dude is right it is 80
Step-by-step explanation:
In a survey 7 out of 8 dentists recommend a ProTooth toothbrush.Based on this information,which can the toothbrush company predict about its recommendations
Answer:
Down below
Step-by-step explanation:
Well, the company can predict that most of the 8 dentists recommend the ProTooth toothbrush about 88 percent of the dentists recommend it 88 percent =0.88 as a decimal.
They can also predict that the one person that didn't recommend it beacause maybe there was a downside to the Protooth brush that the person didn't like
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush is the predicted option.
What is a Survey?This involves gathering of information through relevant questions from a sample of people to better understand them.
7/8 was the initial recommendation
We can get the final one by multiplying both sides by same value.
7 × 8 = 56
8 × 8 64
Therefore, in a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
Read more about Survey here https://brainly.com/question/18397502
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please help! John-Mark recorded the stats for several baseball pitchers. He made a scatterplot showing the
number of games they played and the percentage they lost. Which line is the best fit for this
data?
y = 10x - 70
y = 10x + 70
y = -10x + 110
y = -10x - 110
Answer: Third Option
[tex]y = -10x + 110[/tex]
Step-by-step explanation:
The equation of a line in the pending intersection form has the following form:
[tex]y=mx +b[/tex]
Where m is the slope of the line and b is the intersection with the y axis.
Observe in the graph that the data form a decreasing line. Then the adjustment line must have a negative slope [tex]m <0[/tex].
The first and the second option have positive slopes, therefore we discard them.
Notice in the scatter diagram that the intersection of the line with the y-axis (x = 0) is above 90.
The line of the fourth option has a value of [tex]b = -110 <90[/tex].
Therefore the line that best fits the data is the third option
[tex]y = -10x + 110[/tex]
Note that the line has a slope [tex]m = -10[/tex] and a value of [tex]b> 90[/tex]
Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-7x= 60
a.
{–12, 5}
c.
{–10, 24}
b.
{–5, 12}
d.
{60, 67}
Answer:
B. {-5, 12}
Step-by-step explanation:
the quadratic equation is given by the formula
x = -b± √b² - 4ac
2a
where a is the coefficient of x², b is the coefficient of x, and c is the constant
in the equation; x² - 7x -60 = 0
a = 1, b = -7, c = -60
x = -(-7)± √(-7)² - 4*1*-60 (negative sign multiplied by negative sign will
2*1 a positive sign)
x = 7 ± √49 + 240
2
x = 7 ± √289
2
x = 7 ± 17
2
x= 7 + 17 or 7 - 17
2 2
x = 24/2 or -10/2
x = 12 or -5
The diameter of the circlular garden is 16 feet what is the approximate area of the garden? Please hurry