The equation is missing and it is;
(2/5)x - 3/2 = (5/2)x + 6
Complete options are;
A. Jessie is correct because 3/2 can first be added to both sides of the equation.
B. Robin is correct because both sides of the equation can first be multiplied by 10
C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on both sides of the equation.
D. Neither is correct because neither adding nor multiplying by 10 on both sides of the
Answer:
option B: Robin is correct because both sides of the equation can first be multiplied by 10
Step-by-step explanation:
The given equation is;
(2/5)x - 3/2 = (5/2)x + 6
Now, looking at this, we have fraction terms. Thus, the first step will be to find a way to clear the denominators in order to make every term a whole number.
The denominators we have are: 2 and 5.
So to clear the denominator we'll multiply each term by 10 which is a product of 2 and 5.
Looking at the options, the correct answer is option B: Robin is correct because both sides of the equation can first be multiplied by 10
I need assistance with rational expressions.
Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?
Answer:
42 hours
Step-by-step explanation:
First divide 144 by 16 to get the money per hour wich is 9 then divide 378 by nine and you get the awnser, 42 hours.
Thank you
42 hours Susan worked this week to $378.
Given that, Susan's salary varies directly as the number of hours worked.
We need to find out how many hours did she work this week.
What is the direct variation?Direct variation is a type of proportionality wherein one quantity directly varies with respect to a change in another quantity. This implies that if there is an increase in one quantity then the other quantity will experience a proportionate increase. Similarly, if one quantity decreases then the other quantity also decreases. Direct variation is a linear relationship hence, the graph will be a straight line.
According to the question, last week she earned $144 for working 16 hours. This week she earned $378.
Let the number of hours she works this week be x.
So, the proportion is 144:16::378:x
⇒144×x=16×378
⇒x=42
Hence, 42 hours Susan worked this week to $378.
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Try This question out and I’ll give you brainliest
Answer:
7/12ths
Step-by-step explanation:
2/3rds of the way full would be 8/12. Since she started at 1/12th of a tank, 7/12ths was added. (:
a) Write down the value of angle x.
b) Write down the value of angle y.
HELP PLS
Answer:
A) is 49 degrees and B) is 63
Step-by-step explanation:
they are kinda like mirrors
Which are difference of two squares? Select two options.
a x2 − 9
b x2 −100
c x2 − 4x + 4
d x2 + 10x + 25
e x2 + 15x + 36
Answer:
the answer will have to be c and d
Need help with math probelm if do 5 stars and brainly points
Answer:
63 units^2
Step-by-step explanation:
the area of the rectangle is 48 units^2
l*h=a
6*8=a
48=a
The area of the triangle is 15 units^2
b*h/2=a
6*5/2=a
30/2=a
15=a
Let me know if you have any further questions, hope this helped!
Find the surface area of the composite figure 2 cm 2 cm 6 cm 6 cm 4cm 4 cm 5 cm 10 cm
Answer:
=268 cm²
Step-by-step explanation:
S=(4×10+4×5+5×10)×2×6×4=268cm²
The surface area of the composite figure = the surface area of the bottom cuboid + the flank area of the top Cuboid
Twice the sum of a number and 9 is 30.
Slove equation
Answer:
6 and 9 twice is 30
Step-by-step explanation:
6 plus 9 is 15 twice is 30
Answer:
10.5
Step-by-step explanation:
30 - 9 = 21
21 ÷ 2 = 10.5
ts
Find the quotient.
5
14)154
O 10
O 10.5
O 11
O 11.7
Answer:11/c
Step-by-step explanation:
Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel
Answer:
-12
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).
Then, we need to know the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. In this problem where can see the second equation is already in this form.
Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.
To do this, we know we need to make sure [tex]y[/tex] is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have [tex]-\frac{1}{2} y[/tex] so we have to divide both sides by [tex]-\frac{1}{2}[/tex] to get [tex]y=-12x -20[/tex]
Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or [tex]m[/tex] in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.
If y(x) = 4x, what is x when y(x) = 4?
Replace y(x) with 4:
4 = 4x
Divide both sides by 4:
x = 1
What is the distance from m(-1,6) to n(11,1)
Soln:
Let m(-1,6) be (x1, y1) & n(11,1) be (x2, y2).
Now,
Use distance formula and calculate it
(HELP) What is the length of xy in xyz?
Answer:
xy=6
Step-by-step explanation:
sin θ= opposite side÷ hypotenuse
sin 30°= xy÷12
sin 30°=1/2
Therefore,
1/2=xy÷12
1/2×12=xy
xy=6
20 - (+7) + - (6) = whats the answer
20 - (+7) + - (6)
Answer: 7
Answer:
Answer is 7
20-(+7)+(-6)= ?
(20-7)-6
13-6
7
Given f(x) = 3x - 5 and g(x) = -2x + 1, find h(x) = f(x) - g(x)
Answer:
h(X)=5x-6
Step-by-step explanation:
Fill in variables with corresponding equations.
h(X)=(3X-5)-(-2X+1)
Distribute the - sign to (-2X+1)
h(X)=3X-5+2X-1
Add and subtract values together to find answer
h(X)=5X-6
Write an equation of the line that satisfies the given conditions.
Through (0,−4), perpendicular to the graph of x−3=−6. Answer in slope intercept form.
let's take a peek at the equation above
[tex]x-3=-6\implies x = -3\qquad \impliedby \textit{a vertical line}[/tex]
Check the picture below, there's no slope-intercept form per se for a horizontal line, unless you'd want to give it a slope of 0 and write it as y = 0x - 4.
Find the exponential function that contains the points (2,10) and (3,5)
Step-by-step explanation:
you mean to say 2 to the power of 10 and 3 to the power of 5
Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.
Answer:
[tex]\frac{7}{3}[/tex]
Step-by-step explanation:
42/18=[tex]\frac{7}{3}[/tex]
Rendell took 2.34 hr to cycle 42 km.
Rendell cycles 42 km at an average speed of 18 km/hr.
Distance = 42 km
Speed = 18 km/hr
Speed is define as the distance covered per unit time,
Here,
Time = Distance / speed
= 42 / 18
= 2.34 hr
Thus, Rendell took 2.34 hr to cycle 42 km.
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The formula of the diameter, radius, and area of a circle.
Answer:
Step-by-step explanation:
diameter = 2r
radius = C/2π
area = πr^2
13. Find the area of the triangle given a = 14, b = 9, and C = 66 degrees. Round your answer to the nearest tenth.
14. Find the area of the triangle given a = 38, b = 31, and C = 29 degrees. Round your answer to the nearest tenth.
15. Find the area of the triangle given b = 17, c = 19, and A = 135 degrees. Round your answer to the nearest tenth.
Answer:
13) 57.6 units²
14) 285.6 units²
15) 114.2 units²
(All answers rounded off to the nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
What is the slope of the line that passes through the points (-8, -6) and (-8,4)?
Write your answer in simplest form.
[tex]\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}[/tex]
[tex]\\ \rm\rightarrowtail m=10/0[/tex]
Parallel to x axis[tex]\\ \rm\rightarrowtail m=\infty[/tex]
A bicyclist going 35 mph can make it from 1st Street to the Boston Eatery in 45 minutes. How long (in minutes and seconds) will it take a motorcyclist going 40 mph?
Answer:
39.375 minutes
formula's:
distance = speed * time taken
time taken = distance/speed
speed = distance/time taken
here given:
speed: 35 mphtime = 45 minutes = 0.75 hourssolve for distance:
distance = 35 * 0.75distance = 26.25 miles1st Street to the Boston Eatery distance is 26.25 miles, which is constant.
If speed changes to 40 mph.
time taken = distance/speedtime taken = 26.25/40time taken= 0.65625 hours = 39.375 minutesAllison spent a total of $16.20 for lunch including tax and a tip. She paid 8% sales tax on her purchase and then left a tip equivalent to 20% of her total bill including tax. What was the cost of Allison’s meal, before tax and tip?
Answer:good job!
Step-by-step explanation:
Step-by-step
Is the quotient of -125 and five positive negative or zero
Answer:
negative
Step-by-step explanation:
we know this because a negative divided by a positive is a negative
Answer:
Step-by-step explanation:
= -125 ÷ 5
= -25
It's negative
Help help math math ASAP
Answer:
y equals to x plus 9
Step-by-step explanation:
-x+y=9
so, y=x+9
A graduate student is performing a study on a new anti-anxiety drug. The drug is supposed to reduce anxiety, but the graduate student realizes that it may do nothing or even increase anxiety, so he decides to formulate non directional hypotheses and conduct a two-tailed test. He knows that the average score for all anxious people is μ₀ = 100, with a standard deviation of σ = 14. If he designates the mean for the population of anxious people who take the anti-anxiety drug as μ anti-anxiety drug anti-anxiety drug , he can identify the null and alternative hypotheses as:
Answer:
hello your question is incomplete attached below is the complete question
Answer : The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't
Step-by-step explanation:
average score for anxious people = 100
standard deviation = 14
mean of anxious people who take the anti-anxiety drug
null hypothesis ( H ) =
Alternate hypothesis ( H1 ) ≠
using the z- test ( hypothesis test ) the condition that is not required is the condition that
The standard deviation of the scores on the anxiety inventory is the same for those who take the anti-anxiety drug and those who don't
Your teacher asks the class to evaluate the expression (3³)¹. Your classmate gives an incorrect answer of 81. Evaluate the expression. Then find the likely error.
The most likely error is that, the student multiplied 27 by 3, after the first computation
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the error in the calculation?The expression is given as
(3^3)^1
As a general rule, we start by evaluating the expression in the inner bracket
So, we have
(3^3)^1 = (3 x 3 x 3)^1
Evaluate the products
So, we have
(3^3)^1 = (27)^1
Next, we evaluate the exponent
So, we have
(3^3)^1 = 27
The above implies that the value of the expression is 27 and not 81 as the student solved
The most likely error is that, the student multiplied 27 by 3, after the first computation
Hence, the value of the expression is 27 and not 81 and the most likely error is that, the student multiplied 27 by 3, after the first computation
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find the area of a triangle if do math problem 5 stars and brainly points
Answer:
24
Step-by-step explanation:
area of a triangle = 1/2 ( base length * height )
given base length : 6
given height : 8
area of triangle = 1/2(8*6)
==> multiply 8 and 6
area of triangle = 1/2(48)
==> multiply 1/2 and 48
area of triangle = 24 square units
the length of a rectangle is 4 times it’s width. The rectangle has an area of 1024cm squared
[tex]Your answer it W^2 = 1024/4 = 256.[/tex]
Step-by-step explanation:
ANSWER ASAP!
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
x+3y=0