Answer:
y = [tex]\frac{-2x}{3}[/tex]
Step-by-step explanation:
Distribute 5 to 2x and 3y by multiplying each by 5
10x + 15y
Isolate y to one side of the equation
15y=-10x
Divide each side by 15
y = [tex]\frac{-2x}{3}[/tex]
Answer:
5(2x + 3y) = 10x + 15y
Step-by-step explanation:
There is one particular way to find an equivalent expression which I am assuming is what the problem is looking for. When given a factored expression in the form of a binomial (two terms), by creating an equivilent expression, you can distribute the binomial inside the parenthesis factored by the coefficient 5. So 5(2x + 3y) = 5(2x) + 5(3y) = 10x + 15y.
5 is also the greatest common factor of 10x + 15y which is why this expression simplifies down to the equivilent expression 5(2x + 3y).
10x + 15y as a GCF is really the GCF of 10 and 15. What you do is individually split each number into all its possible factors(set of whole numbers that multiply to that number), and then find the factor that they both share.
For example, 10 has factors of 5, 2, 1, 10. And 15 has factors of 15, 1, 5, 3.
Notice how 5 appears in both.
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
a
How much of each metal is needed to make 3.6 kg of this alloy?
Answer:
0.4kg, 1.4kg and 1.8kg
Step-by-step explanation:
Given parameters:
Mass of alloy = 3.6kg
Ratio of elements in the alloy = 2:7:9
Unknown:
Mass of each element in the alloy = ?
Solution:
To find the mass of each element in the alloy, first find the sum of the ratio;
2+7+9 = 18
Mass of nickel = [tex]\frac{2}{18}[/tex] x 3.6 = 0.4kg
Mass of zinc = [tex]\frac{7}{18}[/tex] x 3.6 = 1.4kg
Mass of copper = [tex]\frac{9}{18}[/tex] x 3.6 = 1.8kg
The mass of each metal is 0.4kg, 1.4kg and 1.8kg
Answer:
Nickle=0.4
Zinc=1.4
Copper=1.8
Step-by-step explanation:
In a flower garden there are 3 tuilps for every 7 daisies if there are 21 tulips his many daisies are there
Answer:49
Step-by-step explanation:
3:7 tulips to daisies
so if there are 3 tulips what * what = 21? 7
so 7 * 7 =49
there are 49 daises
Identify the y-intercept and the axis of symmetry for the graph of f(x) = 10x^2 + 40x + 42.
a
42; x = 4
b
42; x = –2
c
–42; x = 2
d
0; x = –4
Answer:
b)42, x=-2
Step-by-step explanation:
Answer:
The option 'b' is correct.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:10x^2\:+\:40x\:+\:42[/tex]
Determining the y-intercept
The y-intercept can be obtained by setting the value x = 0
[tex]y\:=\:10x^2\:+\:40x\:+\:42[/tex]
[tex]y\:=\:10\left(0\right)^2\:+\:40\left(0\right)\:+\:42[/tex]
[tex]= 0+0+42[/tex]
[tex]=42[/tex]
Therefore, the y-intercept is:
(0, 42)Determining the axis of symmetry
Given the equation
[tex]y=\:10x^2\:+\:40x\:+\:42[/tex]
For a parabola in standard form [tex]y=ax^2\:+\:bx\:+c[/tex]
the axis of symmetry is the vertical line that goes through the vertex
[tex]x=\frac{-b}{2a}[/tex]
so
The axis of symmetry for [tex]y=ax^2\:+\:bx\:+c[/tex] is [tex]x=\frac{-b}{2a}[/tex]
[tex]a=10,\:b=40[/tex]
[tex]x=\frac{-b}{2a}[/tex]
[tex]x=\frac{-40}{2\cdot \:10}[/tex]
[tex]x=-2[/tex]
Therefore, the option 'b' is correct.
Simplify simplify √18
Answer:
Step-by-step explanation:
I can help
Step 1
√18 Simplify
3√2
Step 2
3√2 Check
Answer
3√2
Hope this helped
A seagull is 19 feet above sea level. A fish swimming at the opposite distance of the seagull. What integer represents the fish?
Answer:
The integer representing the fish's depth is -19.
Step-by-step explanation:
Q
ZOO
What is the equation in slope-intercept form of the line that passes through the points
(-6, 4) and (6, 10)?
Answer:
[tex]y = \frac{1}{2} x+7[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (-6, 4), (6, 10)
(-6, 4) = (x1, y1)
(6, 10) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
[tex]\frac{10-4}{6-(-6)}[/tex]
Simplify:
10 - 4 = 6
6 - (-6) = 6 + 6 = 12
[tex]\frac{6}{12}=\frac{1}{2}[/tex]
The slope is [tex]\frac{1}{2}[/tex].
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:
[tex]10 = \frac{1}{2}(6)+b[/tex]
10 = 3 + b
7 = b
The y-intercept is 7.
Now that we know the slope and the y-intercept, we can write the equation:
[tex]y = \frac{1}{2} x+7[/tex]
(i) 25x4 – x2 - 6x -9
Answer:8x+91
Step-by-step explanation:8x + 91
Jake bought two shirts and one pair of pants for six dollars mike bought one shirt and one pair of pants for four dollars how much is each shirt and each pair of pants the system of equations used to solve this would be 2X plus Y equals six and X plus Y equals four
Write the equation of an ellipse
with the given characteristics:
Vertex at (3,-1)
Vertex at (3,-11)
Focus at (3,-9)
Answer:
ahhha lol
Step-by-step explanation:
The Number of students in a chess club decreased from 24 to 17. What is the percent decrease? Round your answer to the nearest percent
Quadrilateral ABCD undergoes a reflection across the x-axis to form quadrilateral a b c d the coordinates of a r the reflected quadrilateral a b c d is then translated three units to the right and third and two units up to form quadrilateral a quotation b quotation quotation see quotation
Solution :
From the figure,
The coordinates of --
A = (-5,-3)
B = (-6,-1)
C = (-3,-1)
D = (-2,-3)
When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as
A' = (-5,+3)
B' = (-6,+1)
C' = (-3,+1)
D' = (-2,+3)
Now A'B'C'D' is translated 3 units to right, so the coordinates will be --
A" = (-2,3)
B" = (-3,1)
C" = (0,1)
D" = (1,3)
When the quadrilateral moves third and two units up, we get
A"' = (3,3)
B"' = (2,1)
C"' = (5,1)
D"' = (6,3)
Answer:
Step-by-step explanation:
Whoever gives me points and thanks gets them back :O
Answer:
i gotchu
Step-by-step explanation:
Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the polynomial.
Answer:
x = 2, x = 4, x = -3Step-by-step explanation:
GivenP(x) = x3 - 3x2 - 10x + 24One of zeros is x = 2To findAll zerosSolutionx³ - 3x² - 10x + 24 is divisible by x - 2 as one of zeros is 2, then:
x³ - 2x² - x² + 2x - 12x + 24 =(x - 2)(x² - x - 12) =(x - 2)( x² - 4x + 3x - 12) =(x - 2)(x - 4)(x + 3)Other zeros are x = 4 and x = -3
a student has answered 82% of the questions correctly in the examination. He made mistakes in 9 questions Calculate the toltal number of questions in the examination
Answer:
There is a total 50 questions.
Step-by-step explanation:
Let x = total questions in the exam
Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.
With this information we can write:
[tex]18\%x=9[/tex] (Given that the student made 9 mistakes)
[tex]x=9\div18\%[/tex] (divide 18% on both sides)
[tex]x=50[/tex]
∴ There was a total of 50 questions in the examination.
What is the distance between the points (8,-4) and (-5, -4)
Answer: 13
Step-by-step explanation:
What is the equation of a line with a slope of 6 and a y-intercept of -8
Answer:
COULD BE Y=6x-8
Step-by-step explanation:
Answer:
y=6x-8
Step-by-step explanation:
I'm using the y=mx+b formula. m always represents the slope, and b the y-intercept. So all I did was plug the numbers in. (This can help with determining the slope and y-intercept as well, btw)
after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50
whats the percent change of 10 gallons to 24 gallons
Answer: 140%
Step-by-step explanation:
Answer:
140%
Step-by-step explanation:
BRAINLIEST PLSSSS
B The veterinarian weighs Anthony's
dog at a check up. The dog weighs 55
pounds. If 1 kilogram is approximately
2.2 pounds, which value best
represents the weight of Anthony's
dog in kilograms?
Answer:
25 kg.
Step-by-step explanation:
the dog is approximately 55 pounds and we know 1 kg is approximately 2.2 pounds. 55 divided by 2.2 is 25. the dog is approximately 25 kg.
Explain how solving -7y > 161 is different from solving 7y > -161.
There were 43 children at the playground. Now there are 27 children at the playground. How many children left the playground? Ben says that 13 children left the playground. He thinks that 43 – 30 is easier to subtract than 43 – 27. He subtracts 43 – 30 and gets 13. Why is Ben's reasoning not correct?
Ben is incorrect because Ben did not answer the question according to the available information. The fact that subtracting 43 from 30 is easier for Ben does not mean it is the correct answer.
Read the information in the box below. Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 312times more than the rainfall during September of the same year. How much rain fell during the month of September?
Answer: 4 inches
Step-by-step explanation:
From the question, we are informed that Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 3 1/2times more than the rainfall during September of the same year.
The amount of rain that fell during the month of September can be calculated as:
= 14 inches ÷ 3 1/2
= 14 ÷ 7/2
= 14 × 2/7
= 28/7
= 4 inches
The rain that fell during the month of September was 4 inches.
0.08 as a ratio term
Answer:
4:10=2:5
Step-by-step explanation:
Answer:
4:10 can be used as a ratio term
Write the following numbers in scientific notation 56,089
Answer:5.6089*10^4
Step-by-step explanation:
An employee worked 36 hours last week. This week, she worked 48 hours. Find the percent increase. Round to the nearest percent.
Answer:
To the nearest percentage, percent increase is 33%
Step-by-step explanation:
Mathematically;
Percentage increase = (new - old)/old * 100%
new = 48 hours
old = 36 hours
% increase = (48-36)/36 * 100%
12/36 * 100%
1/3 * 100%
= 33.33%
Answer: 33% increase
Step-by-step explanation:
Help me plz very hard
Answer:
19
Step-by-step explanation:
Answer:
y=19
Step-by-step explanation:
your equation is y=6x-11 with an input of 5 so you plug in 5 for x.
% times 6 is 30 and 30 minus 11 is 19
Find the reciprocal.
b
Answer:
1/b
Step-by-step explanation:
b=b/1. 1/b would be a reciprical because it switches the numberator and denominator.
Hahahahaha help me thank you
Answer:
Step-by-step explanation:
It is A and C
Christine’s pet bunny ate 0.513 pounds of carrots on Friday. What is this number in word form?
five hundred thirteen hundredths
five thirteen thousandths
five hundred thirteen thousandths
five hundred thirteen tenths
Answer: five hundred and thirteen thousandths
Step-by-step explanation:
1. Is the ones place .0 is the tenths .00 is the hundreths .000 is thousandths look at the decimal and however many numbers are in front or behind.
Answer:
513
Step-by-step explanation:
Santino bought a 3 3/7 Lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds did he use while baking answer asap
Since I asked before and no one answered i’m posting it again :)
Answer:
40
Step-by-step explanation:
Making sure