Which of these describes the equation –18x + 9y = –416?
A
The equation is not linear because it has 2 variables, not 1.
B
The equation is not linear because it is not in the form y = mx + b.
С
The equation is linear because it has variables with exponents of 0.
D
The equation is linear because it can be rewritten in the form y = mx + b.
Answers
Answer:
We conclude the equation is linear because it can be rewritten in the form [tex]y = mx + b[/tex].
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept
Important Tip:
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
[tex]18x + 9y = -416[/tex]
subtract 18x from both sides
[tex]18x+9y-18x = - 18x-416[/tex]
simplify
[tex]9y = -18x - 416[/tex]
divide both sides by 9
[tex]y=-2x-\frac{416}{9}[/tex]
Now, comparing the equation [tex]y=-2x-\frac{416}{9}[/tex] with a slop-intercept form of linear equation
The slope m = -2The y-intercept b = -416/9Therefore, we conclude the equation is linear because it can be rewritten in the form [tex]y = mx + b[/tex].
From the attached graph, is also clear that the graph of the equation [tex]y=-2x-\frac{416}{9}[/tex] is a straight line.
Hence, option D is correct.
Answer:D
Step-by-step explanation:
Related Questions
A 5 foot tall pole casts a 3 1/3 foot shadow. At the same time an oak tree casts a 20 foot shadow. How tall is the tree?
Answers
Answer:
30 feet tall
Step-by-step explanation:
Set up a proportion where x is the height of the tree
[tex]\frac{5}{3\frac{1}{3} }[/tex] = [tex]\frac{x}{20}[/tex]
Cross multiply and solve for x:
100 = 3[tex]\frac{1}{3}[/tex]x
30 = x
So, the tree is 30 feet tall
If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
4
x
+
3
y
)
Answers
When x = 2 and y = 5, the value of the expression 2(4x + 3y) is 46.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The expression given is - 2(4x + 3y).
If x = 2 and y = 5, then substitute these values into the expression and simplify as follows -
2(4x + 3y)
2(4(2) + 3(5))
Use the arithmetic operation of multiplication -
2(8 + 15)
Use the arithmetic operation of addition -
2(23)
Use the arithmetic operation of multiplication -
46
Therefore, the value is obtained as 46.
To learn more about expression from the given link
https://brainly.com/question/24734894
#SPJ1
Brayden was out at a restaurant for dinner when the bill came. His dinner came to $22. After adding in a tip, before tax, he paid $28.60. Find the percent tip.
Answers
Answer:
30%
Step-by-step explanation:
28.60-22=6.60
6.60/22=0.3
Answer:
30% tip
Step-by-step explanation:
First, we need to find out how much money Brayden left for the tip. To find this, we'll subtract the initial bill from the remaining bill. It will look like this:
$28.60 - $22 = $6.60
We now know that Brayden left a tip of $6.60. Next, we need to set up a proportion to find out what percentage that is. For the first fraction, we need to plug in the tip and the initial bill. We'll use t to represent the tip, and w to represent the whole. It will look like this:
[tex]\frac{6.60t}{22w}[/tex]
Next, we need to set up the second fraction of the proportion. We know that every percent is out of 100, so we know that 100 will be our bottom number. We are solving for the percentage out of 100, so we will use x in its place. The final proportion will look like this:
[tex]\frac{6.60t}{22w} = \frac{x}{100w}[/tex]
Finally, we'll cross multiply and divide to get the final answer. First, multiply 6.60 by 100 to get 660. Finally, divide 660 by 22 to get a final answer of 30%. Brayden left a 30% tip on the bill. The final calculations are as follows:
6.60 X 100 = 660
660 / 22 = 30%
What dimensions of the box are required to fit the candle? 5 cm by 6 cm by 18 cm 7 cm by 6 cm by 18 cm 5 cm by 3 cm by 18 cm 7 cm by 3 cm by 18 cm
Answers
Answer:
7cm.by6cm sana makatulong
Answer:
The correct answer would be...
B. 7 cm by 6 cm by 18 cm
Step-by-step explanation:
Qué características tiene un rombo
Answers
Answer:
Un rombo es cualquier paralelogramo con cuatro lados congruentes, cuatro ángulos y cuatro vértices. Tiene la forma de un diamante y una cometa
Helpppp me plzzzzzzzzzz
Answers
Answer:
it is correct
Step-by-step explanation:
trust ur gut
Answer:
you have to correct answer
Step-by-step explanation:
just convert the square roots and fractions to whole numbers and then put them from least to greatest
Which value of c makes the ratios equal?
5/6=9/c
A. c = 11
B. c = 10.8
C. c = 10.2
D. c = 5.8
Answers
c5/5=9(6)/5
c=54/5
c=10.8
the answer is B. c=10.8
In a lilac paint mixture, 40$ of the mixture is white paint, 205 is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.
Answers
Answer:
White paint is 8
Blue paint is 4
Red paint is 12
The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework
8 4/5 - 2/3 - blank = 3 1/10
Answers
Answer:
iwan di ko alam yan hahahhahaha
A salesman's commission rate is 6%. What is the commission from the sale of 36,000 worth of furnaces?
Answers
Answer:
2160
Step-by-step explanation:
36000*6/100=2160
I need answer asap pls
Answers
Answer: Hey man, go with your guess, you might be wrong you might be correct.
Step-by-step explanation: But I wouldn't pick or because if you're saying or, you're basically asking the question to the original question so I would pick one of the and's
Answer:
b < -7 or b > 7
Step-by-step explanation:
b is surrounded by absolute value bars, which means that whether the value of b is negative or positive, the bars will make it positive. |b| is said to be greater than 7, so the value of b must be:
less than -7 (it can be -8, -9, -10, ...) because the absolute value bars will make it positive.
&
greater than 7 (it can be 8, 9, 10) because it will stay positive anyway.
Therefore, the second answer choice is correct.
I hope this helped! :)
124 students played a sport in the fall, and 76 students played a sport in the spring. What was the percent decrease of the students who played sports in the spring? Round your answer to the nearest tenth of a percent.
Answers
Answer:
5.7%
Step-by-step explanation:
subtract 124-76.
then, you would divide 76 by 124 to get a weird number so multiply that by 100 to get this.
5.64516129.
then rounding to the nearest tenth would be 5.7.
so i think it would be 5.7%.
A science class has to maintain a ratio of boys to girls of 2 to 3. How many boys and girls would be in a class of 125 students?
Answers
Answer:
73;76
Step-by-step explanation:
9+x=-11
find the variable
Answers
Answer:
x=-20
Step-by-step explanation: since 9 is being added, subtract it from both sides so x=-20 that was easy :>
Two customers went to an auto body shop. The first customer paid $561 for and oil change and four new tires. The second customer paid $303 for an oil change and two new tires. What is the cost of an oil change?
Answers
78
Step-by-step explanation:
if 3 boys build a snow manin 24 minutes how many can 9 finish building in 1 hour
Answers
Answer:
what does "manin" mean I can help i just need to know what that word means
i get ur question now! :)
so in 72 minutes 9 kids can make 8 snowman's
Hope this helps u and A LOT! :)
Step-by-step explanation:
Answer:
The answer is 6.
You and 3 friends are going to the fair. You have a coupon that will save your group $20. If the total bill to get into the fair was $100, how much does one regular priced ticket to the fair cost?
Equation:
Answer:
Answers
Answer:
one regular ticket costs $30
Step-by-step explanation:
The total number of people = 4
Without the $20 coupon, the total cost would have been =100+20 = $120
Assume the price of one regular ticket is x;
4x = 120
Divide both sides by 4 to solve for x
x = 120/4
x = 30
Therefore, one regular ticket costs $30
Answer:
$30
Step-by-step explanation:
Since you pay 100 after discount, you add the 20 dollar discount to the 100 ($120)
Then since there are 4 of you in total, (you+ 3 friends), you divide by 4.
And Voila, your answer is $30 per person.
Hope this helps :)
On a road map, 1 inch represents 2.25 miles. Which statement or graph correctly represents this relationship? Select all that apply.
Answers
Answer:
2.25 inches
Step-by-step explanation:
Answer:
2.25 in
2.25 m
Step-by-step explanation:
Use place value blocks 60rows of cornstalks type Agrows better so there are8 cornstalks in each row type B does not grow as well so they are only 3 cornstalks in each row
Answers
Answer:
Each field has cornstalks = 660
Step-by-step explanation:
P.S - The exact question is -
As given,
There are 2 types of corn - Type A and Type B
Each field has 60 rows
In each row -
Type A corn grow = 8
Type B corn grow = 3
⇒Total corn grow in each row = 8 + 3 = 11
Now,
1 row = 11 cornstalks
⇒60 rows = 60×11 cornstalks = 660 cornstalks
∴ we get
Each field has cornstalks = 660
which of the following could be points on the unit circle?
Answers
Answer:
Step-by-step explanation:
In each case, square the coordinates of the point and determine whether or not the sum of these squares is 1:
A) 4/9 + 5/9 = 9/9 YES
B) 1 + 1 = 2 NO
C) 3/4 + 1/9 Not equal to 1. NO
D) 0.64 + 0.36 = 1.00 YES
HENCE OPTION B(1,1) IS CORRECT
What is unit circle?
A unit circle is a circle with a radius of one, as defined by mathematics. The unit circle is a circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane, which is used frequently in trigonometry.
How to solve?
Clearly from the given options (1,1 ) will lie on the circle , Hence option b (1,1) is correct .
Learn more about unit circle https://brainly.com/question/23989157
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The perimeter of the square below is 116 m. What is the value of a?
5a +9
Answers
(5a+9)4=116
20a+36=116
20a=116-36
20a/20=80/20
a=4
How would it look like if you graphed this equation. y = 2x - 2
Answers
Answer:
Step-by-step explanation:
is this right re answer what's wrong please !?
Answers
Answer:
explination...
Step-by-step explanation:
so from how i’m understanding it, it would be 12(90) + 20(121).
so 12 x 90 is 1080. so that’s already a good amt, but then 20 x 121 is 2420. now if we add those together,
2420
+1080
-————
3500
so instead of there being more money than she spent, she actually gets the same amount back. so just rearange what’s you out to make sense in a way that matches the problem and you should be good (that was saying it nicely sorry if that seemed rude haha)
please help
step by step
thank you
Answers
Answer:
5/8+1/3=6/11
first u add the fraction and u get the answer of 6/11.
Answer:
7/24
Step-by-step explanation:
5/8 = 15/24
1/3 = 8/24
15/24-8/24 = 7/24
The question was what fraction of all the songs are jazz. Therefore you need to find the common denominator which is 24. (8x3 =24).
Next you Multiply 5x3 which equals 15 and then you multiply 1x8 which equals 8. (We do this because you need to multiply your numerator by the same number you multiplied your denominator with)
Finally, you subtract 8/24 from 15/24 which equals 7. (15-8=7 [make sure you keep your denominator 24] )
Therefore your answer is 7/24
Answer correctly
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0+0
Answers
The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a 35$ monthly fee, plus 3$ per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal.
Answers
2x + 40 = 3x + 35
Subtract 35 from both sides.
2x + 5 = 3x
Subtract 2x from both sides.
5 = x
So, the total charge for each club is equal when 5 books are read.
help me plz due soon
Answers
Evaluate the expression 2 (3)^3 + 5
Answers
Answer: that’s 2 times 27 wich is 54 and then add 5 is 59
Step-by-step explanation:
Pls help me out.........
Answers
706.5 sq meters. I did that math
What is the equation of a line that passes through points K(3, 5) and L(9, 3)?
y=13x+6
y=−13x+6
y=13x−6
y=−13x−6
Answers
Answer:
THE ANSWER IS Y=13X+6
Step-by-step explanation: