Answer:
x < 3
Step-by-step explanation:
5x - 4 < 2x + 5
Subtract 2x from both sides
5x - 4 - 2x < 2x + 5 - 2x
5x - 2x - 4 < 2x - 2x + 5
3x - 4 < 0 + 5
3x - 4 < 5
Add 4 to both sides
3x - 4 + 4 < 5 + 4
3x < 9
Divide both sides by 3
3x/3 < 9/3
x < 3
Dan and David are marking exam papers. Each set takes Dan 37 minutes and David 1 hour.
Express the times Dan and David take as a ratio in its simplest form.
Answer:
37:60
Step-by-step explanation:
Change 1 hour into minutes= 60 minutes
37 minutes: 60 minutes
The ratio of times Dan and David take as a ratio in its simplest form is,
60 : 37.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Dan and David are marking exam papers.
Each set takes Dan 37 minutes and David 1 hour or 60 minutes.
Therefore, The ratio of time taken by Dan and David is
60 : 37.
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Helpppp I need to turn this in ASAP
Well, this should be a bit easy.
We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]
We can also multiply the entire fraction by an integer.
( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)
:)
Five less than one half of a number is 18.
5 – = 18
1/2 – 5 18
x – 5 = 18
5- X = 18
Answer:
c the 3rd one
Step-by-step explanation:
hope this helps you.
help me please this is due today!!!!!!!!!!!!!!1111 :(
Answer:
Whatever y is you turn it to what x is plus a negative Ex: T(10, 9) U(0,9) V(0,0) W(10,0) Those are the answers.
Step-by-step explanation:
Did this help???
Camden drove 320 miles in 8 hours. If he continued at the same rate, how far would he travel in 7 hours?
Answer:
280 miles
Step-by-step explanation:
We want to determine what speed Camden is going first so we can find the distance. To do so, you can divide the total miles (320) by the number of hours (8) to find he is driving 40 miles per hour. Then, you can take that and multiple it by the number of hours he will drive (7) to get 280 miles. I hope this helps! :)
Which set of ordered pairs represents a function?
o {(5,-2), (-5,2), (-5, -4),(4, -5)}
{(9,6),(-1,7), (9,–7), (4,7)}
o {(-1,0),(-8, 9), (7,0), (1,3)}
{(8,6), (8, –4), (-7, -2),(-1, —8)}
Answer:
{(-1,0),(-8, 9), (7,0), (1,3)}
Step-by-step explanation:
number 3 is the only one with no colliding outputs.
There are 75 students in a speech contest. Yesterday, 2/5 of them gave their speeches. Today, 1/3
of the remaining students gave their speeches. How many students still haven't given their speeches?
Work Shown:
2/5 of 75 = (2/5)*75 = 0.4*75 = 30
Yesterday 30 people gave speeches. There are 75-30 = 45 people left.
1/3 of 45 = (1/3)*45 = 15
Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.
Is -20 an irrational number or rational number
Answer: Rational number
Step-by-step explanation:
Let's write out the properties of rational and irrational numbers.
Rational
IntegersWhole numbersfinite decimalsrepeating decimalsIrrational
not rational numbers------------------------------------------------------------------------------------------------------------
Looking at the list we made, we can say that -20 is a rational number. -20 is an integer and a whole number. Therefore, it is a rational number.
If you were to teach someone how to graph the coordinate (5.-6), what would you say?
Which is the length of a student's textbook?
-30 millimeters
-30 centimeters
-30 decimeters
-30 hecometers
3x – 2y+3
3y - 2x
X=7 Y=6
The table shows the blood types of 75 donors after a one-day blood drive. Based on results, what is the chance that a random donor has type A blood? Blood Type A B AB Frequency 31 33 9 2 31 33 25 75
Answer:
33
Step-by-step explanation:
I am did my diagnostic too.
The required chance of that a random donor has type A blood is given as 11/25. Option B is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total blood donor = 31 + 33 + 9 + 2 = 75
Donors has type A blood = 33
Now, the chance that a random donor has type A blood,
= Donors has type A blood / Total blood donor
= 33 / 75
= 11 / 25
Thus, the required chance of that a random donor has type A blood is given as 11/25.
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Question 10 of 10
Which of the following graphs represents the equation y = 3x + 2?
A
B
с
51% (1.6)
5+
(2.6)
5
5
1 (0, 1)
(0, 2)
(0, 2)
(-1.0)
5
5
-5
1-1,-1)
0.-2)
-5+
-5
CranbA
Answer:
You haven't attached a picture but this is what your line should look like
Step-by-step explanation:
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Flips
The value of graph of function y = 3x + 2 is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation of line is,
y = 3x + 2
Now, The value of y - intercept of the equation is,
⇒ 2
⇒ (0, 2)
Thus, The value of graph of function y = 3x + 2 is shown in figure.
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simplify to create an equivalent expression-4(z+3)-4(5-4z)
Answer:
12z−32
Step-by-step explanation:
Distribute:
=(−4)(z)+(−4)(3)+(−4)(5)+(−4)(−4z)
=−4z+−12+−20+16z
Combine Like Terms:
=−4z+−12+−20+16z
=(−4z+16z)+(−12+−20)
=12z+−32
Rewrite the following linear equaton in slope intercept form Y-5=3(x+1)
Convert the decimal 0.9988 to a fraction
Answer:
The decimal 0.9988 to a fraction is 9988/10000
Answer:
9988
_____
10,000
Step-by-step explanation:
I got it correct on test :)))
In which quadrant do each of the points lie?
A. (5,-2) B. (-1, -6)
1. 1 AND 2
2. 2 And 3
3.3 and 4
4. 3 and 1
When Josh babysits, he chargers a flat fee of $14 plus an hourly rate of $9. How long would Josh need to babysit if he wants to earn $86 in one night?
Answer:
[tex]\frac{36}{7}[/tex]hours
Step-by-step explanation:
First let's get the flat fee of 14 out of the way, because he wants to earn 86 dollars and the 14 dollar fee is the y intercept.
[tex]86-14 = 72[/tex]
We would then divide 72 by the slope (14 per hour) to see how many hours he has to work:
[tex]72/14 \approx5.14285714286[/tex]
I would just simplify because this decimal isn't exact
[tex]72/14 = 36/7[/tex]
So 36/7 hours
The robber stole only 25 pounds
Of quarters out of the coin machine. quarters are weighed in ounces. If there are 16 ounces in 1 pound how many ounces of quarters were stolen?
Is -5 3/8 a rational number
Answer: YES
Step-by-step explanation:
THREE WAYS TO DETERMINE:
If the number given is in integer, it is rational.
If the number given is fraction, it is rational.
If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)
----------------------------------------------------
-5 3/8
It is a fraction, which fits the second point.
So, it is rationalHope this helps!! :)
In a lab, a substance is heated by 4°C each hour for 28 hours. What was the total change in temperature?
Answer:
112 difference in tempature
Step-by-step explanation:
multiply 4x28
what’s the slope-intercept form of y + 3 = 4(x - 5),
Slope-intercept form is: y = mx + b
m = slope
b = y-intercept
y + 3 = 4(x - 5)
Distribute the 4
y + 3 = 4x - 20
Subtract 3 from both sides.
y = 4x - 23
Answer:
Step-by-step explanation:
Slope intercept form...
y=mx+c
where, m=slope
c=intercept
y + 3 = 4(x - 5)
Open the Brackets.
y + 3 = 4x - 20
SUBTRACT 3 FROM BOTH SIDES.
y + 3 (-3)= 4x - 20 (-3)
Take note of the signs and solve.
y = 4x - 23
4 is the slope.
-23 is the intercept.
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3,394 divided by 42
Answer:
80.80
Step-by-step explanation:
3394/42 simplified would be 1697/21
as a mixed form it would be 80 and 17/21
As a decimal, 80.809...
Hope this helps :)
-3x - 9y = 18
Solve for y
Steps to solve:
-3x - 9y = 18
~Add 3x to both sides
-9y = 18 + 3x
~Divide -9 to everything
y = -1/3x - 2
Best of Luck!
Point M is the midpoint of segment AB.
AM=3x+40 and MB=x^2. Find x and AB
[tex]\text{Hello there! :)}[/tex]
[tex]x = 8\\\\AB = 128 \text{ units}[/tex]
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]
[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]
[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]
[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]
[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]
[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]
[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]
find the value of the following expression 9(-4) over -3
Answer:
Look below
Step-by-step explanation:
9(-4) is the same as 9*(-4) so it equals -36.
-36/-3=positive 12 so ye. The answer is 12
Tell me the correct anser
Answer:
D is the correct answer
1. Evaluate the following:
a) 249 =
b) - 100
c) 10 + 7169
Answer:
a) 249 = 249 or 2.49 × 10²
b) - 100 = - (10)²
c) 10 + 7169 = 7179
Step-by-step explanation:
A bowl contains blueberry and strawberry there are a total of 10 berries in the bowl The ratio of blueberry to strawberry is 2 for every 3 how many of each berry are in each bowl
Answer:
4 blueberries and 6 strawberries
Step-by-step explanation:
How would you write an explanation for a, b, and c? Mississipi is the data point on the upper left that is an outlier
Step-by-step explanation:
a. Your answer is correct. The trend is that obesity rate increases with the number of fast food restaurants per capita. Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend. It is an outlier in terms of the relationship.
b. The number of restaurants per capita is between 2 and 6 for most states. Mississippi's number of restaurants per capita is within this range, so it is not an outlier.
c. The obesity rate is between 22 and 38 for most states. Mississippi's obesity rate is within this range, so it is not an outlier.