Answer:
7
Step-by-step explanation:
Write the slope-intercept form of the equation for the line.
Answer:
The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.
Step-by-step explanation:
Simultaneous linear equation
Solve the following equations:
a. 3x + 5y = 8 ,
4x – 3y = 1
b. 6p + 4q = 20,
5p – 2q = 6
Step-by-step explanation:
a) 3x + 5y = 8
4x - 3y = 1
• using the elimination method:
3x + 5y = 8 (×4)
4x -3y = 1 (×3)
12x + 20y = 32
12x -9y = 3
subract 12x from both equation:
20y - - 9y= 32 -3
20y +9y = 29
29y= 29
y= 29/29
y= 1
- substituting y= 1 in :
4x - 3y= 1
4x - 3(1) = 1
4x -3 = 1
4x = 1 + 3
x = 4/4
x= 1
b) 6p+ 4q = 20
5p - 2q = 6
• using the elimination method:
6p + 4q = 20
5p - 2q = 6 (×2)
6p + 4q = 20
10p - 4q = 12
add 4q + -4q to eliminate q.
6p+ 10p = 20+12
16p = 32
p = 32/ 16
p = 2
- subtituting p = 2 in :
5p - 2q = 6
5(2) -2q =6
10 -2q = 6
-2q = 6 - 10
q = -4 / -2
q = 2
hope this helps you,
-s.
Answer:
a. x = 1 / y = 1b. p = 2 / q = 2Step-by-step explanation:
a.3x + 5y = 8 ________( 1 )
4x - 3y = 1________ ( 2 )
( 1 ) × 3 ____ 9x + 15y = 24 _____ ( 3 )
( 2 ) × 5____ 20x - 15y = 5 _____ ( 4 )
( 3 ) + ( 4 )
[tex]9x + 15y + 20x - 15y = 24 + 5 \\ 9x + 20x + 15y - 15y = 29 \\ 29x = 29 \\ x = \frac{29}{29} \\ x = 1 \\ [/tex]
x = 1 substitute to ( 1 ) ,
[tex]3x + 5y = 8 \\ 3(1) + 5y = 8 \\ 3 + 5y = 8 \\ 5y = 8 - 3 \\ 5y = 5 \\ y = \frac{5}{5} \\ x = 1 \\ [/tex]
b.6p + 4q = 20_______ ( 1 )
5p – 2q = 6 _______ ( 2 )
( 2 ) × 2 ____ 10p - 4q = 12 _______ ( 3 )
( 1 ) + ( 3 )
[tex]6p + 4q + 10p - 4q = 20 + 12 \\ 6p + 10p + 4q - 4q = 32 \\ 16p = 32 \\ p = \frac{32}{16} \\ p = 2 \\ [/tex]
p = 2 substitute to ( 1 ) ,
[tex]6p + 4q = 20 \\ 6(2) + 4q = 20 \\ 12 + 4q = 20 \\ 4q = 20 - 12 \\ 4q = 8 \\ q = \frac{8}{4} \\ q = 2 \\ [/tex]
The figure shows a parallelogram ABCD where BÀD=65. E lies on DC such that BÈD=125.
Find:
(I) ADB
(ii) CBE
Answer:
ADB
Step-by-step explanation:
hlo have you forgotten me hlo hru zunair
-9r
r=7
Please help I'm tired and can't think
Answer:
-63
Step-by-step explanation:
-9 multiply by 7
Hey there!
-9r
= -9(7)
= -9 + -9 + -9 + -9 + -9 + -9 + -9
= -9 - 9 - 9 - 9 - 9 - 9 - 9
= -18 - 18 - 18 - 9
= -36 - 18 - 9
= -54 - 9
= -63
Thus, your answer is: -63
Fun fact!
2 negatives equals positive
2 positives equals positive
1 negative & 1 positive equals negative
1 positive & 1 negative equals negative
That’s why your result was a negative because you had 1 negative (-9) and 1 positive (7)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the 66th term of the following arithmetic sequence. 15,24,33,42
30 is 10 times as much as
Answer:
Hi, 30 is 10 times as=30×10=300
Step-by-step explanation:
If you multiple with 30×10 we get as product is 300
Find the perimeter of the rectangle
Answer:
10x² + 12x + 16
Step-by-step explanation:
Perimeter = 2(length + width)
Solve: Plug in given information:
2(5x² + 5x + 5 + x + 3)2(5x² + 6x + 8)10x² + 12x + 16-Chetan K
help me out please i need help
Answer:
Triangle 1: isosceles
Triangle 2: equilateral
Triangle 3: Scalene
17. What is the measure, in degrees, of angle x?
Let ,
130° + y = 180° — ( i )
x + 107° + y = 180° — ( ii )
now ( i )
130° + y = 180°
y = 180° - 130°
y = 50°
now substituting value of y in equation ( i )
[tex]x + 107 + y = 180 \\ x + 107 + 50 = 180 \\ x + 157 = 180 \\ x = 180 - 157 \\ [/tex]
x = 23°
Gerri purchases a coupon book with discounts for her favorite coffee shop. Every coupon for the coffee shop offers the same discount. The table shows her total savings, y, based on the number of coupons, x, used from the book.
I need the answer step by step pls asap
Answer:
27
Step-by-step explanation:
[tex] \frac{2 {}^{3} \times 3 {}^{4} \times 4}{3 \times 32 } [/tex]
Make everything in the form of exponet.
[tex] \frac{ {2}^{3} \times {3}^{4} \times {2}^{2} }{3 {}^{1} \times 2 {}^{5} } [/tex]
Use the rule.
[tex]a {}^{m} \times {a}^{n} = a {}^{m + n} [/tex]
[tex] \frac{2 {}^{3 + 2} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
[tex] \frac{2 {}^{5} \times {3}^{4} }{3 \times {2}^{5} } [/tex]
Cancel out like Terms.
[tex] \frac{3 {}^{4} }{3} [/tex]
Use the property
[tex] \frac{a {}^{m} }{a {}^{n} } = {a}^{m - n} [/tex]
So we have
[tex]3 {}^{4 - 1} = 3 {}^{3} [/tex]
[tex]3 {}^{3} = 27[/tex]
What is the answer of 150⅗ – 10 – 129⅘
Answer:
10.8 or 5 4/5
Step-by-step explanation:
Im guess its right answer
what is the area of the triangle
Answer:
36
Step-by-step explanation:
There are several ways to find area of triangle from vertex coordinates, the easiest is: (x₁*(y₂-y₃) + x₂*(y₃-y₁) + x₃*(y₁-y₂)) / 2
Area = ((-1)*(-6 - -6) + (-6)*(-6 - 2) + (3)*(2 - -6)) / 2
= (0 + 48 + 24) / 2
= 72/2
= 36
if the mean of m,n,s,p and q is 12. Calculate the mean of (m-4), (n-3 ),(s-6), (p-2) and (q-8).
Answer:
7.4
Step-by-step explanation:
1. according to the condition (m+n+s+p+q)/5=12, it means (m+n+s+p+q)=60;
2. the required mean can be calculated:
[(m-4)+(n-3)+(s-6)+(p-2)+(q-8)]/5=[(m+n+s+p+q)-23]/5=[60-23]/5=37/5=7.4.
2x(3+4)to the 2nd power
Answer:
196
Step-by-step explanation:
Jack has a bag full of marbles. In the bag, there are 5 green marbles, 4 red marbles, and 6 blue marbles. Jack takes one marble and then does not replace the marble in the bag.
What is the percent of grabbing a green marble then a red marble?
0.9%
9.0%
9.5%
9.8%
Answer:
9.0%
Step-by-step explanation:
I don't know exact answer
how much animals have died from plastic in the ocean 2022?
Answer:
we dont know an exact but
Over 1 million marine animals (including mammals, fish, sharks, turtles, and birds) are killed each year due to plastic debris in the ocean
Step-by-step explanation:
Currently, it is estimated that there are 100 million tons of plastic in oceans around the world.
Answer:
over 1 million
Step-by-step explanation:
i answered this question a while ago
Solve the inequality:
2x+5 < x-1/4
Answer:
x<-3
Step-by-step explanation
2x+5<x-1/4
in x-1/4 you should remove 4 so you should multiply 4 from both side
8x+20<x-1
subtract x from both side
8x-x<-1-20
7x<-21
divided by 7 from both side
x<-3 answer is x<-3
Michaela buys 2 cartons of eggs at $1.58 a carton, 4 1/5 pounds of ground turkey at $6.99 a pound, and a jar of strawberry jam for $4.38. She gives the cashier four $10 bills. How much change will Michaela receive?
Answer:
$1.00
Step-by-step explanation:
Eggs
1.58 * 2 = $3.16
Turkey
4.5 * 6.99 = $31.46
All items
31.46 + 3.16 + 4.38 = $39
Change
40 - 39 = $1.00
A town has a population of 2000 and grows at 4. 5% every year. What will be the population after 13 years, to the nearest whole number?.
Answer:
3544 people
Step-by-step explanation:
We can start by representing this as an exponential function, in the form [tex]y=a(b)^x[/tex]
2000 will be our a, or our initial value. We must convert our multiplier, 4.5% to a decimal, which is 1.045. 13 is our input since it's our number of years where we want to find the population. Now that we have our variables, lets make an equation.
[tex]y=2000(1.045)^13[/tex]
PEMDAS states that we first do exponents, so lets raise 1.045 to the 13th power.
[tex]y=2000(1.77219609724)[/tex]
Now we multiply by 2000!
[tex]y= 3544.39219448[/tex]
Rounded to the nearest whole number is 3544. Therefore, there will be 3,544 people living in the town in 13 years.
Ana bikes for 5.5 hours. She covers a distance of 57.75 mi. Assuming she bikes at a constant speed, how fast was Ana biking
A Man's dream was to talk to his loved ones for a decade non stop. His network provider has a call rate of 11kobo/secs How much airtime does he need to accomplish his unrealistic dreams
Answer:
315,532,800 or 315,619,200 if you are going by seconds, but if it is asking for kobo then just multiply 11 by this, I am probably wrong, if I am I am so sorry
Step-by-step explanation:
Nina and Jo both ran a 13 km race. Nina took 2 hour 10 minutes to run the whole race. Jo started the race 7 minutes later than Nina but caught up when they had both travelled 11 km. If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
I searched it up and it said the answer is 6.0869 mph
Marcelo has 6 red marbles in his marble collection. The red marbles make up 12% of all the marbles. How many marbles are in Marcelo’s collection? Show your work.
The total number of marbles in Marcel's collection is 50.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Marcelo has 6 red marbles in his marble collection. Red marbles make up 12% of all the marbles.
The number of marbles in Marcel's collection is calculated as,
12% of marbles = 6
1% of marbles = 6 / 12
100% of the marbles= ( 6 / 12) x 100
100% of the marbles = 50
To know more about percentages follow
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Lisa can harvest a field in 9.3 hours. Kali can harvest
the same field in 9.7 hours. Find how long it would take
them if they worked together.
Answer:
4.75 hours
Step-by-step explanation:
First you need to find the median of the two numbers. The fastest way to do it is to add 9.3 and 9.7 and divide by 2, which will give you 9.5. Since there's going to be two of them working, divide 9.5 by 2, and you get 4.75.
1/9.3 + 1/9.7 = 1/x
x=4.74789
If simplicity is to be applied,
rounded to tens: 0
rounded to ones: 5
rounded to tenths:4.7
rounded to hundreths:4.75
rounded to thosandths:4.748
The temperature last evening was 15°Fahrenheit. It dropped 33° last night (-33). By noon today, it has warmed up only 5°. Add positive & negative numbers to tell what the temperature was at noon today?
Answer:
-13°
Step-by-step explanation:
Start at 15°
Subtract 33° -----> 15-33= -18°
It has warmed up by 5° (+5) -----> -18+5= -13°
How much is the check written for in words?
Answer:
one hundred fourty dollars and eleven cents
please explain how to get this answer!!
The surface area of a paper cup is defined by the function S(h) = 4π√(16 + h^2) where h is the height of the cup. What are domain and range of f(x)?
I already know the answer but I want to know the steps.
Answer:
No h-intercept/zero
Step-by-step explanation:
1- Substitute the s (h) = 0
2- Determine the defined range
3- the statement is false for any value of h
4- There is no h-intercept/zero
All the real numbers are the domain of the function. Then the range of the function will be [16π, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The equation that represents the surface area of the paper cup is given below.
S(h) = 4π√(16 + h²)
Where h is the height of the cup.
The graph of the equation is drawn below. Then all the real numbers are the domain of the function.
And the lowest point of the function will be given as,
S(0) = 4π√(16 + 0²)
S(0) = 4π√16
S(0) = 16π
Then the range of the function will be [16π, ∞).
More about the function link is given below.
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Factorise the following question 27m^2-48m
Answer:
[tex]3m ( 9m - 16 )[/tex]
Step-by-step explanation:
- both numbers are divisible by 3m therefore
[tex]3m ( 9m - 16 )[/tex]
The table shows the number of students in a school who like rap and/or hip-hop: Like Rap Do Not Like Rap Total Like Hip-Hop 35 8 43 Do Not Like Hip-Hop 10 21 31 Total 45 29 74 What is the relative frequency, by row, of students who do not like rap or hip-hop? 0. 17 0. 68 0. 72 0. 81.
Answer:
35 like rap 25 dont like rap
Step-by-step explanation: