Answer:
P(Pair of dice greater than 7) = 5/12
Step-by-step explanation:
When rolling a pair of dice, there are 36 combinations for the rolls.
(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)
Of those, there are 15 where the total is greater than 7.
15/36 = 5/12
#1 #2 Sum > 7
1 1 2 FALSE
1 2 3 FALSE
1 3 4 FALSE
1 4 5 FALSE
1 5 6 FALSE
1 6 7 FALSE
2 1 3 FALSE
2 2 4 FALSE
2 3 5 FALSE
2 4 6 FALSE
2 5 7 FALSE
2 6 8 TRUE
3 1 4 FALSE
3 2 5 FALSE
3 3 6 FALSE
3 4 7 FALSE
3 5 8 TRUE
3 6 9 TRUE
4 1 5 FALSE
4 2 6 FALSE
4 3 7 FALSE
4 4 8 TRUE
4 5 9 TRUE
4 6 10 TRUE
5 1 6 FALSE
5 2 7 FALSE
5 3 8 TRUE
5 4 9 TRUE
5 5 10 TRUE
5 6 11 TRUE
6 1 7 FALSE
6 2 8 TRUE
6 3 9 TRUE
6 4 10 TRUE
6 5 11 TRUE
6 6 12 TRUE
Answer:
5/12
Step-by-step explanation:
I can’t really explain it. I did the same problew though.
For which values of x is the expression undefined?
x2 – 49
x2 – 16
You meant to say x^2 - 49 and the second binomial is x^2 - 16.
x^2 - 49 = (x - 7) (x + 7).
Set each factor to 0 and solve for x individually.
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Do the same for x^2 - 16.
Here is the set up:
x^2 - 16 = (x - 4) (x + 4).
Take it from here.
help find the missing side length in the image below
56
20/35 = 35/x
20x = 32(35)
Divide both sides by 20 to solve for x
X = 1120/20
X = 56
The missing side length of the given image is 56 so x = 56 will be the correct answer.
What is a line segment?A line section that can connect two places is referred to as a segment.
Lines are very useful and common in geometry we daily use them.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
In other words, the line is a straight figure which has zero width and infinite length but if we take a segment then it is called a line segment which will be finite.
Given in the image 3 lines are parallel and intersect two lines that are randomly inclined.
Let's say the missing length is x
By geometrical similarity rule
x/32 = 35/20
x = 32 × 35/20
x = 56 hence 56 will be the missing side length of the given figure.
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Simplify, using distributive property and then combing like terms.
4m-3(2m+1)
Step-by-step explanation:
4m−3(2m+1)
Distribute:
=4m+(−3)(2m)+(−3)(1)
=4m+−6m+−3
Combine Like Terms:
=4m+−6m+−3
=(4m+−6m)+(−3)
=−2m+−3
Answer:
=−2m−3
Answer:
-2m-3
Step-by-step explanation:
leave 4m alone in the beginning
distribute -3 to 2m and 1
-3(2m+1)
(-6m-3). Then put the 4m behind the 6
4m-6m-3(subtract like terms)
-2m-3 (final answer)
The Earth is approximately a sphere of
diameter 12742 km. The surface area
of a sphere is given by the formula A =
4π r2 Calculate the surface area of the
Earth. Give your answer in metres
squared and in standard form.
Answer:
2
Step-by-step explanation:
Is -59+8 positive or negative
Answer:
Negative
Step-by-step explanation:
It's negative because there are 59 negatives and 8 positives. Since there are more negatives the sum is negative.
-59+8 = -51
Hope this helps ya!
Why does it make sense to describe an equation that has infinitely many solutions as an identity?
Because for any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
What is infinite solution of any variable?
In any equations, any value for the variable makes the equation true or we can say that an equation has infinitely many solutions if you try to solve the equation and get a variable or a number equal to itself.
Now,
For any value of the variable, the equation is true and it follows that there are infinitely many solutions ( values ) that satisfy the equation.
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the compound interest formula a=p(1+r/n)^nt where p is the initial amount invested, r is the interest as a decimal, n is the number of times compound annually, the the number of years. Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
Answer:
Option (D)
Step-by-step explanation:
Formula to calculate the final amount after 't' years is,
A = [tex]P(1+\frac{r}{n})^{nt}[/tex]
Here P = Initial amount
r = rate of interest
n = number of times compounding done
t = duration of investment
For A = $8000
r = 0.06
t = 10 years
n = 12 (compounded monthly in a year)
Therefore, final amount = [tex]8000(1+\frac{0.06}{12})^{12\times 10}[/tex]
= [tex]8000(1+0.005)^{120}[/tex]
= [tex]8000(1.005)^{120}[/tex]
= 8000(1.8194)
= $14555.17
Therefore, Option (D) will be the answer.
Answer:
the answer is d
Step-by-step explanation:
$14,555.17
Solve the following equations using the partial quotients strategy.
1. 8,397 ÷ 27 = __________ 2. 9,396 ÷ 18 = __________ 3. 8,442 ÷ 14 = __________
Answer:
1. 8,397 ÷ 27 =311
2. 9,396 ÷ 18 =522
3. 8,442 ÷ 14 =603
Step-by-step explanation:
triangle ABC and DEF are similar what is the length of segment DF?
Answer:
Proportionate to whatever length the corresponding segment for the similar triangle.
A sketch of y= ax² + bx + c is shown
Answer:
Positive, Negative, One negative and one positive
Step-by-step explanation:
a refers to whether the parabola opens upwards/downwards
c refers to y-inercept
solutions to the curve is dependent on the x intercepts
This question demands knowledge on quadratic graphs. If you would like to venture further, you can check out my Instagram page (learntionary). I posts math tips and notes. Thanks!
The true statements are:
(a) is positive(c) is negativeone negative and one positive.The equation is given as:
[tex]\mathbf{y =ax^2 + bx + c}[/tex]
The graph is an illustration of a parabola.
When a parabola opens up, then the value of (a) is positive
c represents the y-intercept i.e. the point where the graph crosses the y-axis.
From the sketch, the graph cross the y-axis below the origin.
So, the value of (c) is negative
The graph crosses the x-axis, at either sides of the origin.
So, the solutions are one negative and one positive.
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Which choices are equivalent to the quotient below? Check all that apply square root 75/15
Answers & Explanations:
The answer to A. is incorrect.
The answer to B. is correct.
The answer to C. is incorrect.
The answer to D. is incorrect.
The answer to E. is correct.
The answer to F. is correct.
hope this helps :)
The expression √(75/15) is equivalent to √(15/3), √5, and √(25/5). Then the correct options are B, E, and F.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ √(75/15)
Simplify the expression, we have
⇒ √(15/3)
⇒ √5
Or √(25/5)
Then the correct options are B, E, and F.
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Please PLS PLS PLS PLS Answer ASAP This Is due in a few min and its a test PLEASE will give brainliest if right!! :)
Answer:
-13
Step-by-step explanation:
Can y’all help give me the answer
I WILL MARK BRAINLIEST!!! !!
(picture included with ONE question ^^^^^) only part a
Answer:
A. y = 1.5m + 7
B. at 7 months the baby will weigh 17.5 pounds
C. Since the baby is born weighing 7 pounds, at 0 months he will weigh 7 pounds. This tells us that the y-intercept will be seven. And since the baby is gaining 1.5 pounds every month, this means that the slope will be 1.5 and m will be the x of our y = mx + b equation. For part B, we simply plug in 7 to m and solve by multiplying 1.5 and 7 to get 10.5, then adding 7 to get 17.5.
Is (-1, -4) a solution to a equation y=6x_ -2?
There are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls. What is the number of boys in the band
Answer:
61 boys
Step-by-step explanation:
x=girls
2x+5+x=89
3x+5=89
3x=84
x=28
28 x 2 = 56
56+5=61
The number of boys in the band will be 61.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.
The equation can be formed as below,
2x+5+x=89
3x+5=89
3x=84
x=28
The number of boys will be,
B = 2x + 5
B = 28 x 2 + 5
B = 56+5=61
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[tex]x^{7} x x^{4}[/tex]
Answer:
x12
Step-by-step explanation:
How do you subtract fracions and mixed fractions? Write your answer on
your paper
Answer:
when u subtract fractions u have to make sure they have a common denominator so u can subtract evenly so say I have 2/5 - 4/6 i have to make a common denominator of 30 so the 2/5 would turn to 12/30 and the 4/6 would be 20/30 then you do 20-12 to get 8/30 and with mixed fractions u do the same exept multiply the denominator by the whole then add the neumorator to the number u just got and add them together and then subtract.
hope this helped :)
Step-by-step explanation:
Write the equation of the line that passes through the points (-8,6) and (9,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
PLEAS HELPPPPP NOWW!!!!!!Liz's resting heart rate is 64 beats per minute. During a recent workout, she measured her heart rate to be 112 beats per minute. By what percentage did her heart rate increase during her workout?
Answer:
75%
Do you need the work
Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95 per month. Marshals provider has free installation and charges $57.95 per month. After how many months will Franco and Marsha have paid the same amount for high-speed Internet service?
Answer:
4 months
Step-by-step explanation:
Franco's provider = 60 + 42.95x
Marshal's provider = 57.95x
Where,
x = number of months
Equate both charges
Franco's provider = Marshal's provider
60 + 42.95x = 57.95x
Subtract 42.95x From both sides
60 + 42.95x - 42.95x = 57.95x - 42.95x
60 = 15x
Divide both sides by 15
60 / 15 = 15x / 15
4 = x
x = 4 Months
Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months
Brody earns $11 for each hour of babysitting. How many hours in all will it take Brody to
earn a total of $33?
Answer:
3 hours
Step-by-step explanation:
11 / 33 =3
11 x 3 = $33
Answer:
3
Step-by-step explanation:
If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.
10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B
Answer:
12 boxes or C.
Step-by-step explanation:
Max = divide.
GCF=12.
LCM = 144.
Difference:
144/12 or 12.
So 12 boxes
Hope this helps :D
3. The profit for a company is given by the equation y = -0.0002x 2 + 140x – 250,000 where x is the number of units sold and y is the profit. Determine the number of units that should be sold to yield the maximum profit.
9514 1404 393
Answer:
350,000
Step-by-step explanation:
The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...
x = -(140)/(2(-0.0002)) = 1,400,000/4
x = 350,000
350,000 units should be sold to maximize profit.
A cookie recipe calls for 3 eggs
and makes 48 cookies. About
how many eggs would you need
to make 216 cookies?
Answer:
You would need about 13 eggs.
Step-by-step explanation:
216 cookies would be taking the original recipe and making 4 and a half batches. So we multiply 3 by 4.5 to get 13.5.
Please I'm so bad at math-
And explain it to me so I understand it next time. :)
Answer:
i dont even know chife
Step-by-step explanation:
Which expressions are equivalent to the expression 4a – 6b + 3c?
a + 3(a − 2b + 3c)
4a + 3(2b + c)
2(2a − 3b + c) + c
2(2a − 3b) + 3c
Answer:
Third one: 2(2a-3b+c)+c
Step-by-step explanation:
Hope this helped:)
i rlly need help!!!!!!!
In the last three years, Frederico’s basketball team won 30 more games than they lost. If they won 130 games, what was the ratio of wins to losses?
Answer:
130 to 100
Step-by-step explanation:
Answer: 130 to 100
Step-by-step explanation:
Describe how
factoring can help you find the x-intercepts
of the graph of the quadratic function
y=x2 - 4x + 3.
The x-intercepts of the graph of the quadratic function is 1, 3.
What are quadratic equations?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0
Now the quadratic function is,
y = x² - 4x + 3
Now for x-intercepts, y = 0.
⇒ x² - 4x + 3 = 0
Factoring we get,
⇒ x² - 3x - x + 3 = 0
⇒ x(x - 3) - 1(x - 1) = 0
⇒ (x - 1) (x - 3) = 0
Thus we get,
x = 1, 3
this is the required x-intercepts of the graph of the quadratic function.
Thus, the x-intercepts of the graph of the quadratic function is 1, 3.
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