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3 years ago

3 1/3 + (-2 1/4) + 1 5/6=

Mathematics

1 answer:

trasher [3.6K]3 years ago

6 0

Answer:

$2\dfrac{11}{12}$

Step-by-step explanation:

The first step is to ensure that all of the fractions have a common denominator.

$3\dfrac{1}{3}+\left( -2\dfrac{1}{4} \right) + 1\dfrac{5}{6}= \\\\3\dfrac{4}{12} - 2\dfrac{3}{12} +1 \dfrac{10}{12}= \\\\1\dfrac{1}{12}+1\dfrac{10}{12}= \\\\\boxed{2\dfrac{11}{12}}$

Hope this helps!

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In one baseball season, Nolan hit twice the difference of the number of home runs Mrs. Davis hit and 6. Altogether, they hit 18

Alborosie

Answer:

Nolan hitted 8 home runs

Step-by-step explanation:

Let's call the number of home runs that Nolan hitted by N, and that Davis hitted by D.

So, we can write the following equations:

N = 2 * (D - 6)

N + D = 18

Now we can solve the system of equations, using the value of N from the first equation in the second one:

2 * (D - 6) + D = 18

2*D - 12 + D = 18

3*D = 30

D = 10

Now we find N:

N + D = 18

N + 10 = 18

N = 8

So we have that Nolan hitted 8 home runs.

4 0

3 years ago

The world brand of rivet placement is 11209 rivets in 9 hours and belongs to J. Mair of Ireland. If another person places 11209

Ilya [14]

Answer:

4.74 hours

Step-by-step explanation:

Given that both person have to place same number of rivets that is

11209

first person take 9 hours to complete the work

hence 1 hour work of 1st person is $\frac{1}{9}$ of total work

second person takes 10 hours to complete the same work

hence 1 hour work of 2nd person is $\frac{1}{10}$

Now if both work together then

1 hour work of both person = $\frac{1}{9} +\frac{1}{10}$ = $\frac{19}{90}$

thus working together they need $\frac{90}{19}$ hours = 4.74 hours to complete the whole work which is placing 11209 rivets

5 0

3 years ago

R + 12 = 86<br> what does r equal ?

AVprozaik [17]

86 - 12 = 74

74 + 12 = 86

5 0

3 years ago

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Use the drop-down menus to complete the paragraph proof. we are given that xy is parallel to zw. if xz is a transversal that int

adoni [48]

Solution:

x y ║ z w→→Given

Also, x z is a transversal, that intercepts x y and z w.

So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.

Also, v is point of intersection of x z and y w.

∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]

So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]

6 0

3 years ago

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What is the general form of the equation of the line shown?

ZanzabumX [31]

Check the picture below. So let's use those two points on the line.

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-0}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=1(x-0)\implies y=x \\\\\\ -x+y=0\implies \stackrel{\textit{standard form}}{x-y=0}$

bearing in mind that the standard form is also a general form.

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

5 0

3 years ago

Read 2 more answers