The value of the addition of the numbers 7.8+917.62 will be 925.42.
What is addition?The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.
The addition of the numbers will be done as:-
917.62
+7.80
925.42
First, arrange the number one to another then add from the unit places you will get your answer.
So the addition of the numbers will be 925.42
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Can someone help please?
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 2 or 5 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
The probability of winning the game on your next turn is; 14%
How to find the Probability of Winning?The sample size of the two number cubes, when rolled is:
n = 36
The number of outcomes that give a sum of 2 or 5 is 5,
And the outcomes are (1, 1) (2, 3) (3, 2) (1, 4) (4, 1)
The probability is the quotient of the number of outcomes of the sum of 2 or 5 and the total outcomes.
Thus,
Probability = 5/36 * 100% = 13.89% ≈ 14%
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Given the equations and the graph below, how many solutions are there to the system of equations?
Explain your answer.
Answer:
One, since the lines are not parallel (you can tell by either the graph, or the coefficient of the x term, called "slope", and it's (3;4)
Which answers describe the shape below? Check all that apply.
Answer:
Step-by-step explanation:
A: Not a Rhombus. Adjacent sides are unequal
B: True. Opposite sides are parallel
C: True. Adjacent sides are unequal in length but it has two sets of parallel lines and at least 1 right angle.
D: Not a square. Not all 4 sides are of equal length
E: It is a quadrilateral. A quadrilateral only requires 4 sides.
F: Not true. It does not have the properties of a trapezoid.
help please <33 i’m struggling if anyone sees this please help this girl <3333
Answer:
2 15/28
Step-by-step explanation:
First we will convert both mixed fractions into improper fractions.
5 1/4 becomes 21/4
2 5/7 becomes 19/7
21/4 - 19/7 does not work, so we must make the denominator the same
147/28 - 76/28 = 71/28
Now we convert back to a mixed number:
2 15/28
Answer: [tex]-11\frac{15}{28}[/tex]
Step-by-step explanation:
Convert to Improper fractions
[tex]5\frac{1}{4} = \frac{21}{4} \\2\frac{5}{7} = \frac{19}{7} \\[/tex]
Find a lowest common multiple
lcm(4,7) = 28 (7 * 4)
since they are just multiplying each other, we can cross multiply
[tex]\frac{(21*7) - (19*4)}{4*7} = \frac{147-76}{28} \\= \frac{71}{28} \\=2\frac{15}{28}[/tex]
what is -3(4+(-7) + (-2( 5) -17) with examples pls
Answer:
2
Step-by-step explanation:
-3 (4 - 7) + (2 x 5 - 17)
-3 (4 - 7) + (10 - 17)
-3 x (-3) + (-7)
9 + (-7)
9 - 7
=2
In a company which services air-conditioner units, the revenue,
$r, is given by the equation r = 20x, where x is the number of
units serviced. The operating cost, $c, is given by the equation
c= 3600 + 4x.
The profit, $P, is given by the expression, r — c.
(a) Find a formula for P in terms of x only.
(b) For each of the following cases, find the value of x if
(i) the revenue earned is twice that of the cost,
(ii)the profit earned is $292 more than one third of the revenue
earned.
Answer:
p(x) = 16x -3600600 units417 unitsStep-by-step explanation:
The problem statement gives expressions and relations for revenue, cost, and profit. Substitute and simplify or solve, as appropriate.
__
(a)Given: r(x) = 20x; c(x) = 3600+4x; p(x) = r(x) -c(x)
The formula for p(x) is ...
p(x) = (20x) -(3600 +4x) . . . . substitute for r(x) and c(x)
p(x) = 16x -3600 . . . . . . . . simplify
__
(b-i)r(x) = 2·c(x) . . . . given relation for revenue and cost
20x = 2(3600 +4x) . . . . substitute for each
12x = 7200 . . . . . . . simplify and subtract 8x
x = 600 . . . . . . . divide by 12
Revenue is twice the cost when x = 600 units.
__
(b-ii)p(x) = 292 +1/3r(x) . . . . given relation for profit and revenue
16x -3600 = 292 +1/3(20x) . . . . . substitute for each
28/3x = 3892 . . . . . . . . add 3600 -20/3x
x = 417 . . . . . . . . multiply by 3/28
Profit is $292 more than 1/3 the revenue earned for 417 units.
Multiply.
[tex]\frac{\sqrt{2}}{6}cis (\frac{3\pi }{5})[/tex]·[tex]\frac{\sqrt{6}}{4}cis (\frac{2\pi }{3})[/tex]
A.[tex]\frac{\sqrt{3}}{12}cis(\frac{19\pi }{15})[/tex]
B. [tex]\frac{\sqrt{3}}{12}cis(\frac{2\pi }{5})[/tex]
C. [tex]\frac{\sqrt{2}}{8}cis(\frac{2\pi }{5})[/tex]
D. [tex]\frac{\sqrt{2}}{8}cis(\frac{19\pi }{15})[/tex]
Multiply the moduli and add the arguments:
√2/6 cis(3π/5) × √6/4 cis(2π/3)
= (√2/6 × √6/4) cis(3π/5 + 2π/3)
= √3/12 cis(19π/15) … [A]
Simplify the expression (4x2y3)2
Answer:
8x^2 2y^3
Step-by-step explanation:
Help? It’s for scantron and I have to exempt
Answer:
A. Red/Line C
Step-by-step explanation:
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 33 feet up. The ladder makes an angle of 74 degrees with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
HOPE IT HELP (≧▽≦)(≧▽≦)(≧▽≦)
Answer:
Step-by-step explanation:
the answer is wrong its 34.3
HELP ME PLEASEEEEE
Answer:
x = 4
Step-by-step explanation:
x(x + 8) = 48
x² + 8x = 48
x² + 8x - 48 = 0
times into -48
add into 8
(x - 4)(x + 12) = 0
x - 4 = 0
x = 4
or
x + 12 = 0
x = -12
A length cannot be a negative number therefore x = 4
Answer Quickly and Correctly for Brainlist!!! Marcelle and Megan realized that they could express their ages more specifically if they used fractions. Doing this will allow them to calculate their difference in their ages. Marcelle is 15 1/2 years old, and Megan is 7 7/12. What is the difference in their ages? Express your answer as a simplified mixed number.
Answer:
the difference in their ages is 31/2
Step-by-step explanation:
151/2=2x15+1/2=31/2
PLEASE SOLVE FOR X AND Y!!!! I WILL MARK BRAINLIEST!!!!
opposite sides and diagonals of a parallelogram are equal
+ diagonals of a parallelogram meet eachother in the middle so:
10x+14=x+77
10x-x=77-14
9x=63
x=63÷9
x= 7
y+8=4y-19
y-4y=-19-8
-3y=-27
y=-27÷-3
y=9
2z+3=37
2z=37-3
2z=34
z=34÷2
z=17
I'll give brainiest to the first person to respond BUT only if the answer is correct
Answer:
115 and 1/2
Step-by-step explanation:
B•W•H
Hope this helps! ;-)
Thanks for correcting my mistake!!!
Answer: The answer is 115 1/2
Explanation: Just multiply all the dimensions
If v₁ = (3,-4) and v₂ = (2,6), then v₁v₂ is equal to which of the following?
O A. (-12,-24)
OB. 30
O C. -18
OD. (6,-24)
Answer:
C. -18
Step-by-step explanation:
Scalar Product (Dot Product) of two vectors
[tex]\displaystyle \vec{a} \cdot \vec{b}=\sum_{i=1}^na_ib_i[/tex]
[tex]\textsf{If }\: \vec{a}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \quad \textsf{and } \quad \vec{b}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k}[/tex]
[tex]\textsf{then }\quad \vec{a} \cdot \vec{b}=a_1b_1+a_2b_2+a_3b_3[/tex]
Given:
v₁ = (3, -4)v₂ = (2, 6)⇒ v₁ · v₂ = (3 · 2) + (-4 · 6)
⇒ v₁ · v₂ = 6 + (-24)
⇒ v₁ · v₂ = 6 - 24
⇒ v₁ · v₂ = -18
A line passes through the points (-4,3) and (0, 0). What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
ΔY / ΔX, or change in y divided by change in x
(-4,3) and (0, 0)
x increases by 4
y decreases by 3
-3/4
Answer:
It is -3/4
Step-by-step explanation:
Tara made a scale drawing of a boarding school. she used the scale 1 centimeter : 7 meters. a building at the school is 12 centimeters long in the drawing. how long is the actual building?
Answer:
84cm
Step-by-step explanation:
Given that;
1cm = 7m
12cm = x
Cross Multiply
x = 12×7
x = 84m
Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С
Answer: C) add 12 to both sides
Reason:
We add 12 to the left side to undo the -12, which will get y by itself.
We must do the same thing to both sides to keep things balanced.
please help meh I give brainliest
whats 55 + 55? I've been struggling and I can't take it anymore. I saw the memes and I need the real absolute final answer. pls help
Answer:
110
50+50=100
5+5=10
100+10=110
(thats how i do mental math)
I need help! A flagpole casts a shadow 25 feet long and the angle of elevation of the sun is 72 degrees. Find the height of the flagpole to the nearest foot.
Answer:
From the diagram you can see that we have constructed a right triangle, with height A and base 15.Length of shadow = 15 feet.Height of flagpole = A.We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.tan(40∘)=oppositeadjacent=A15∴tan(40∘)=A15Rearranging:A=15tan(40∘)By calculator:A=12.59 feet. ( 2 d.p.)
What are the ratio of the perimeters and the ratio of the areas?
Check the picture below.
the ratio of the sides will be the same ratio of their perimeters
[tex]\stackrel{\textit{\LARGE ratio of their}}{\stackrel{perimeters}{\cfrac{6}{15}\implies \cfrac{2}{5}}\hspace{5em}\stackrel{areas}{\cfrac{2^2}{5^2}\implies \cfrac{4}{25}}}[/tex]
Please help me
Which equation has the same solutions as x²+6x-7=0 ?
A) (x+3)²=2
B) (x-3)²=2
C) (x-3)²=16
D) (x+3)²=16
Answer:
[tex]D)~(x+3)^2 = 16[/tex]
Step-by-step explanation:
[tex]~~~~~~x^2 +6x -7 = 0\\\\\implies x^2+6x = 7\\\\\implies x^2 +2 \cdot 3 \cdot x +3^2 -3^2 = 7\\\\\implies x^2 +2 \cdot 3 \cdot x+3^2 = 7+3^2\\\\\implies (x+3)^2 = 7+9\\\\\implies (x+3)^2 = 16[/tex]
What are the solutions of the equation 6x^2-x-1=0
Answer:
x=1/2 or x=-1/3
Step-by-step explanation:
6x^2-x-1=0
6x^2+2x-3x-1=0
(6x^2+2x)+(-3x-1)=0
2x(3x+1)-1(3x+1)=0
2x(3x+1)-1(3x+1)=0
(2x-1)(3x+1)=0
(2x-1)(3x+1)=0
2x-1=0
or
3x+1=0
x=-1/3
x=1/2
Answer:
Its 1/3 and -1/2
Step-by-step explanation:
What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 21 observations
To find the degrees of freedom in the given question, we have to take into consideration of the confidence interval as well as degrees of freedom. The critical t-value in this data set is 2.086
What is Confidence Interval?This is the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
We can also say that it is a range of values so defined that there is a specified probability that the value of a parameter lies within it.
Data;
sample size (n) = 21degree of freedom (df) = n-1 = 21 - 1 = 20At a 95% confidence level, the t is
α = 1 - 0.95
The critical t-value in this data set is 2.086
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Mason has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$15 $35 $21 $29 $30 $19
Answer:
21, 29, 30, 35
Step-by-step explanation:
anything greater than 20 would break even and then give a position balance
The top three teams qualified to compete at the state competition. At the state competition, however, scoring is done differently than at the other meets. Use the following information to create a system of equations where is the points for first place, is the points for second place, and is the points for third place.
Results:
Eagles got 5 first-place, 3 second-place, and 4 third-place finishes with a team total of 67 points.
Pirates got 2 first-place, 5 second-place, and 5 third-place finishes with a team total of 56.
Devil Rays got 6 first-place, 3 second-place and 3 third-place finishes with a team total of 72.
We can’t believe the Devil Rays came from behind and won! We need to determine how many points were awarded for each place. Use Cramer’s rule or inverse method to get the answers. Explain your process.
The equations are
5x+3y+4z=672x+5y+5z=566x+3y+3z=72Lets solve them through matrix
Let
[tex]\\ \rm\Rrightarrow A=\left[\begin{array}{ccc}\rm 5&\rm 3&\rm 4\\ \rm 2&\rm 5&\rm 5\\ \rm 6&\rm 3&\rm3\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow B=\left[\begin{array}{c}\rm 67 \\ \rm 56\\ \rm 72\end{array}\right][/tex]
Let solve
Determinant of A
[tex]\\ \rm\Rrightarrow |A|[/tex]
[tex]\\ \rm\Rrightarrow 5\left|\begin{array}{cc}\rm 5&\rm 5\\ \rm 3&\rm 3\end{array}\right|-3\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|+4\left|\begin{array}{cc}\rm 2&\rm 5\\ \rm 6&\rm 3\end{array}\right|[/tex]
[tex]\\ \rm\Rrightarrow 5(15-15)-3(6-30)+4(6-30)[/tex]
[tex]\\ \rm\Rrightarrow 72-96[/tex]
[tex]\\ \rm\Rrightarrow -24[/tex]
Cofactor[tex]\\ \rm\Rrightarrow A_{11}=0[/tex]
[tex]\\ \rm\Rrightarrow A_{12}=24[/tex]
[tex]\\ \rm\Rrightarrow A_{13}=-24[/tex]
[tex]\\ \rm\Rrightarrow A_{21}=3[/tex]
[tex]\\ \rm\Rrightarrow A_{22}=-9[/tex]
[tex]\\ \rm\Rrightarrow A_{23}=3[/tex]
[tex]\\ \rm\Rrightarrow A_{31}=-5[/tex]
[tex]\\ \rm\Rrightarrow A_{32}=-17[/tex]
[tex]\\ \rm\Rrightarrow A_{33}=19[/tex]
Cofactor of A[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right][/tex]
Adjacent of A[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 24&\rm -24\\ \rm 3&\rm -9&\rm 3\\ \rm -5&\rm -17&\rm 19\end{array}\right]^T[/tex]
[tex]\\ \rm\Rrightarrow \left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]
Inverse of A[tex]\\ \rm\Rrightarrow \dfrac{1}{|A|}\times Adj.A[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right][/tex]
Now
[tex]\\ \rm\Rrightarrow AX=B[/tex]
[tex]\\ \rm\Rrightarrow X=A^{-1}B[/tex]
[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{ccc}\rm 0&\rm 3&\rm -5\\ \rm 24&\rm -9&\rm -17\\ \rm -24&\rm 3&\rm 19\end{array}\right]\left[\begin{array}{c}\rm 67\\ \rm 56\\ \rm 72\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\dfrac{1}{-24}\left[\begin{array}{c}\rm -192\\ \rm -120\\ \rm -72\end{array}\right][/tex]
[tex]\\ \rm\Rrightarrow X=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]
So
[tex]\\ \rm\Rrightarrow \left[\begin{array}{c}\rm x\\ \rm y\\ \rm z\end{array}\right]=\left[\begin{array}{c}\rm 8\\ \rm 5\\ \rm 3\end{array}\right][/tex]
We get
x=8y=5z=3A baby is born weighing 120 ounces. At 1 year, the same baby weighs 14 pounds. How many pounds did the bay gain?
What happens to warm air when it cools?
A) It sinks back down to Earth.
B) It is absorbed into clouds.
C) It remains in Earth’s upper atmosphere.
D) It breaks apart and disappears.
Answer:
b
Step-by-step explanation:
hj
Answer:Its B,dude
Step-by-step explanation: