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ahrayia [7]
3 years ago
8

What is 4 3/4 + 7/8 showing all work

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
4 \frac{3}{4} + \frac{7}{8}

Convert  mixed numbers  to improper fractions

=  \frac{19}{4} + \frac{7}{8}

Find de LCD  for 4 and 8 :

Factor each denominator  into its primes:

4 = 2^2


8 = 2^3

Find the  least common denominator 2^3 = 8

Adjust  fractions  based on  the LCD :

\frac{19*2}{8} +  \frac{7}{8}

Since the  denominators are equal , combine the fractions:

\frac{2*19+7}{8}

\frac{38+7}{8}

=  \frac{45}{8}

Therefore:

Convert  improper fractions to mixed numbers

= 5 \frac{5}{8}

hope this helps!
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storchak [24]
10% of 26.80 = 2.68

5% of 2.68 = 1.34

2.68 + 1.34 = 4.02

Your best estimate is 4.05
4 0
3 years ago
5. What is the value of the expression [(29 + 18) +<br>(17 - 8)] = 8?<br>S​
Vladimir [108]

Answer:

False ; the answer to that equation is 56

Step-by-step explanation:

6 0
3 years ago
Last week, it rained x inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha
sineoko [7]

I think the answer would be A because 5% ×100=0.05 , and in the question they have been telling us that it decreased by 5 from the last week so the equation would be g of the last week - 0.05

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3 years ago
Write an equation in point slope and slope intercept form of a line that passes through the given point and
nekit [7.7K]

Answer:

Point slope is ( Y+4) = 1/2(x+3)

Slope intercept is Y = 1/2(x) -5/2

Step-by-step explanation:

For the point slope form.

Given the point as (-3,-4)

And the gradient m = 1/2

Point slope form is

(Y - y1) = m(x-x1)

So

X1 = -3

Y1 = -4

(Y - y1) = m(x-x1)

(Y - (-4)) = 1/2(x -(-3))

( Y+4) = 1/2(x+3)

For the slopes intercept form

Y = mx + c

We can continue from where the point slope form stopped.

( Y+4) = 1/2(x+3)

2(y+4)= x+3

2y + 8 = x+3

2y = x+3-8

2y = x-5

Y = x/2 - 5/2

Y = 1/2(x) -5/2

Where -5/2 = c

1/2 = m

7 0
3 years ago
If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 3 and passes through point (2, 5).
Ugo [173]

Part A: The equation of the ship's path is y=3x-1

Part B: The two ships sails perpendicular to each other.

Explanation:

Part A: It is given that m=3 and point (2, 5)

Substituting these in the slope intercept form, we have,

y-y_{1}=m\left(x-x_{1}\right)

\begin{aligned}y-5 &=3(x-2) \\y-5 &=3 x-6 \\y &=3 x-1\end{aligned}

Thus, the equation of the ship's path in slope intercept form is y=3x-1

Part B: The equation of the second ship is x+3 y-6=0

Let us bring the equation in the form of slope intercept form.

\begin{aligned}3 y &=-x+6 \\y &=-\frac{1}{3} x+2\end{aligned}

Thus, from the above equation the slope is m=-\frac{1}{3}

To determine the two ships sailing perpendicular to each other, we have

m_{1} \times m_{2}=-1

where m_{1}=3 and m_{2}=-\frac{1}{3}

\begin{aligned}3 \times-\frac{1}{3} &=-1 \\-1 &=-1\end{aligned}

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.

3 0
3 years ago
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