Add the following rational numbers -7.2 + (-4.28)
Answer:
-11.48
Step-by-step explanation:
-7.2 + (-4.28)
-7.2 - 4.28
-11.48
3 3/4 + 5/12
help me plz lol
Answer:
4 [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.
Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]
Let A be the event that there are at least two fives among the four rolls. Let B be the event that there is at most one five among the four rolls. Find the probabilities P(A) and P(B) by finding the ratio of the number of favorable outcomes to the total (i.e., P(A) = #A #Ω and P(B) = #B #Ω ).
Answer:
P(A) = 31/1296
P(B) = 125/1296
Step-by-step explanation:
Here, we want to find P(A) and P(B)
Let’s start with A
In a roll of a die, the probability that there will be a 5 is 1/6
The probability of not having a 5 is therefore 1-1/6 = 5/6
So out of four rolls , we want to find the probability of having at least two fives
This means there could be 2, 3 or 4 fives;
For two fives;
We have 2 fives and two non-fives
= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296
For 3 fives;
we have 3 fives and 1 non five
= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296
For 4 fives;
= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296
So the probability of at least two fives is;
1/1296 + 5/1296 + 25/1296 = 31/1296
Event B is the probability that there is at most one five among the four rolls
That means there are 3 non fives and 1 five
P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296
help me please i need this answer now please help!!!!
Answer:
Yes they are similar because both are parts of a triangle with a right angle and contain a shared point
Step-by-step explanation:
...
After a dilation, a figure becomes similar or congruent
Answer:
The figure becomes congruent
need answer 4x+2+3x+3=180
Answer:
Step-by-step explanation:
4x + 2 + 3x + 3 = 180
7x + 5 = 180
7x = 175
x = 25
HELP HELP I NEED HELP ASAP
Graph y-7=-3(x-1).
THIS IS THE 2ND TIME I SAY THIS PLZ HELP ME ASAP!!!!!!!!! THIS IS CONFUSING
Answer:
15
Step-by-step explanation:
i had this on a test
PLZ HELP FOR A LOT POINTS!
Let f(x) represent the linear parent function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.
1.) f(x+17)
2.) 17f(x)
f(x) is vertically stretched by a factor of 17.
f(x) is vertically compressed by a factor of 17.
f(x) is translated 17 units down.
f(x) is translated 17 units right.
f(x) is translated 17 units left.
PreviousNext
Answer:
Stretched vertically by a factor of 17 and translated 17 units left
Step-by-step explanation:
Answer:
1.) f(x)
is translated 17 units left.
2.) f(x)
is vertically stretched by a factor of 17.
Step-by-step explanation:
Si el tamaño de una bacteria es 1,59 x 10-3 mm, ¿cuántos átomos de oxígeno caben a lo largo de ella? (Sabiendo que: el ancho de un átomo de oxígeno aprox. Es 4,804 x 10-9 cm).
An.
Step-by-step explanation:
ANSWER PLSS algebra 1 and explain why
Answer:
y=-2x-100
Step-by-step explanation:
this is the only answer choice with a negative (decreasing) slope. The temperature went down and the slope went down
Hope this helps!
y= -5/6x + 4 in slope intercept form?
Answer:
DOMAIN:
solution: x<0 or x>0
interval notation: ( -∞,0)U(0,∞)
RANGE:
solution :f(x) < 4 or f(x) >4
interval notation: (-∞,4)U(4,∞)
X-INTERCEPTS:
(5/24,0)
ASYMPTOTES:
vertical: x=0
horizontal: y=4
EXTREME POINTS:
none
Step-by-step explanation:
lol i didnt knw how much info u needed i hope this helps
The slope intercept form is y=mx+c, So y= -5/6x + 4 is in slope intercept form.
What is general equation of slope intercept form?The general equation of slope intercept form is y=mx+c
where m is the slope and c is the y intercept
The given equation is y= -5/6x + 4, we have to check whether the given equation in slope intercept form or not.
The given equation is y= -5/6x + 4...(1)
We know that general equation of slope intercept form is y=mx+c...(2)
As we compare equations (1) and (2), we find that equation (1) in the form of (2). so y= -5/6x + 4 is in slope intercept form.
Therefore y= -5/6x + 4 is in slope intercept form.
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find the y-intercept and slope of the function’s graph, and find the equation for the function using the table in the picture.
y- intercept:
slope:
equation:
m = (y2-y1)/(x2-x1)
m = (9-5)/(3-2)
m = 4
Substitute the values in y= mx + c,
5 = (4)(2) + c
5 = 8 + c
c = -3
Thus, the equation is y= 4x -3
The y intercept is -3 and the slope of line is 4 .
Then the equation of line will be : y= 4x -3
Given,
Points on x and y axis .
Standard equation of line :
y = mx + c
m = slope of line
c = y intercept
Now
Firstly find out the slope of line ,
m = (y2-y1)/(x2-x1)\
m = (9-5)/(3-2)
m = 4
Now to calculate the value of y intercept
Substitute the values in y= mx + c,
5 = (4)(2) + c
5 = 8 + c
c = -3
Thus, the equation is m = (y2-y1)/(x2-x1)
Know more about slope of line,
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What is an
equation of the line that passes through the points (0, 2) and (5,8)?
Answer: y = 1.2x + 2
Step-by-step explanation:
slope = (8 - 2)/(5 - 0) = 6/5
y-intercept = (0, 2)
y = (6/5)x + 2
y = 1.2x + 2
The diagram at the right shows a path through a garden.
The approximate length of the path, p, can be found with the formula
[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]
Which of the following measures is closest to the length
of the path?
A. 10 m
B. 12 m
C. 13 m
D. 18 m
Answer: B about 13 m
Step-by-step explanation:
Calculate 8² = 64 and 10² = 100 Add to get 16
Then get √164 = =12.80624847
Round up to 13.
a sqaure tile has a width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
Answer:
16- this question is already here from other people! :-)
Step-by-step explanation:
Find a pattern for the sequence below.
1, 4, 9, 16, 25, ...
Answer:
add 3, add 5, add 7, add 9
Step-by-step explanation:
1+3=4
4+5=9
9+7=16
16+9=25
add by odd numbers, for a simpler answer
Given A (-3, 4) and M(1, 2), find the distance AM
Answer:
[tex]d = 2\sqrt{5}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]
[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]
[tex]d = \sqrt{(4)^2+4}[/tex]
[tex]d = \sqrt{16+4}[/tex]
[tex]d = \sqrt{20}[/tex]
[tex]d = 2\sqrt{5}[/tex]
During the summer Frank earned $60 less than three times as much as his brother Fred. Together they earned $1220. How much did they each earn?
Answer:
320, 900
Step-by-step explanation:
what is 67-u=182 i got 249 and ik it is wrong
Answer:
Step-by-step explanation:
67 - u = 182
67 - 182 = u
-115 = u
Which of the following is not a rational number
Answer:
c
Step-by-step explanation:
[tex] \frac{2 {x}^{3} + 4 {x}^{2} - 5 }{x + 3} [/tex]
I need help with this one.
2x³ = x • 2x², and
2x² (x + 3) = 2x³ + 6x²
Subtract this from the dividend to get a remainder of
(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5
-2x² = x • (-2x), and
-2x (x + 3) = -2x² - 6x
Subtract this from the last remainder to get a new one of
(-2x² - 5) - (-2x² - 6x) = 6x - 5
6x = x • 6, and
6 (x + 3) = 6x + 18
This gives a new remainder of
(6x - 5) - (6x + 18) = -23
x does not divide -23, so we're done, leaving us with
[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]
Which one is correct
Answer:
I believe it is systematic system
Step-by-step explanation:
I am almost bankrupt asking the same question but....
1)If (a^2+1)/a=12,find the value of a^3 +(1)/a^3
2)If y-(1)/y=7 find the value for (y^6-1)/y^3
Answer:
If you understand how I solved a you can do B. Keep at it!
Step-by-step explanation:
I need HELP asap the teacher wants it do today PLEASE HELP
Answer:
i think Point C
Step-by-step explanation:
Because Point A is you walking to the bus stop-
Point B is u waiting at the bus stop-
And point C is u on the bus
Sorry if it didn't help :/
Somebody help ...............................
1. What are the equation and slope of the line shown on the grid?
Answer:
y=2/5x-2
Step-by-step explanation:
The main equation you will need for this is y=mx+b
First, you have to find the slope. the equation for that is
-2-0 = -2 (y)
0-5= -5 (x)
A good way to remember this is rise over run or y is always over x
Slope = 2/5 (The negatives cancel out)
The great thing about this is that they have already given you your "y" intercept or "b" which is -2
The average speed of a plane was 500 kilometers per hour . How long did it take the plane to travel 100 kilometers
Answer:
12 minutes (1/5 hour)
Step-by-step explanation:
Speed is 500 kmph.
Distance is 100 km.
Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.
four times a number p is more than 22
Answer:
[tex]4p\: > 22[/tex]
[tex]four \: times \: a \: number \: p \: is \: \\ more \: than \: 22[/tex]
The expression of inequality four times a number p is more than 22 is
4p > 22.
What is inequality?Inequality compares two non-equal terms of both sides of the inequality sign. There are four types of inequality.
Given statement four times a number p is more than 22.
As it is stated more than we have to form an inequality strictly greater than 22 which is,
4p > 22.
p > 22/4.
p > 5.5.
This number p can also be represented on a real number line with an open circle at 5.5 and extended to infinity.
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Dave answered 28 questions out of 40 correct on a test. What percent did he answer correctly?
Answer:
70 percent
Step-by-step explanation:
first divide your part by your total: 28/40
then multiply the result by 100
so, 28/40=0.7. 0.7×100=70 percent