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3 years ago

Assessment items What is the quotient? 1 5/8 ÷(−1 3/5 )

Mathematics

1 answer:

Solnce55 [7]3 years ago

4 0

We need convert the mixed numbers to improper fractions.

$1\dfrac{5}{8}=\dfrac{1\cdot8+5}{8}=\dfrac{8+5}{8}=\dfrac{13}{8}\\\\1\dfrac{3}{5}=\dfrac{1\cdot5+3}{5}=\dfrac{5+3}{5}=\dfrac{8}{5}$

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

$1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-\dfrac{13}{8}\div\dfrac{8}{5}=-\dfrac{13}{8}\cdot\dfrac{5}{8}=-\dfrac{(13)(5)}{(8)(8)}=-\dfrac{65}{64}\\\\\boxed{1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-1\dfrac{1}{64}}$

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Answer and please show the work !

Thepotemich [5.8K]

Answer:

Option A for part A and $79 for part B

Step-by-step explanation:

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3 years ago

The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.

bearhunter [10]

Answer:

$m\angle A= 30^{\circ}$

Step-by-step explanation:

In the question, we're given $\angle A\cong \angle D$ . Therefore, the measure of these two angles must be equal.

To find the value of $x$ , set these two angles equal to each other:

$4x-26=x+16$

Add 26 and subtract $x$ from both sides:

$3x=42$

Divide both sides by 3:

$x=\frac{42}{3}=14$

Since $\angle A$ was labelled as $4x-26$ , substitute $x=14$ to find its measure:

$\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}$

You can also substitute $x=14$ into the label of angle D as angle A is congruent to angle D for easier calculations ( $14+16=\boxed{30^{\circ}}$ ).

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3 years ago

Change y-7=m(x-4) to standard form

Ivan

Answer:

mx -y = 4m -7

Step-by-step explanation:

Standard form is ...

ax +by = c

where a, b, c are mutually prime integers and a > 0.

If we assume m > 0, then we need to collect the variable terms on the right side of the equation, so the coefficient of x will be positive.

y -7 = mx -4m . . . . eliminate parentheses

-7 = mx -y -4m . . . . subtract y

4m -7 = mx -y . . . . . add 4m

mx -y = 4m -7 . . . . . . standard form

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3 years ago

What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20

Bond [772]

Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.

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3 years ago

4(x + 3) = 6-x what is the answer I need help please

Amanda [17]

4(x + 3) = 6 - x

First, expand to remove parentheses.
$4x + 12 = 6 - x$
Second, subtract '6' from both sides.
$4x + 12 - 6 = -x$
Third, subtract '12 - 6' to get 6.
$4x + 6 = -x$
Fourth, subtract '4x' from both sides.
$6 = -x - 4x$
Fifth, since 'x' can be referred to as '1', add it to '4x' to get '-5x'.
$6 = -5x$
Sixth, divide both sides by '-5'.
$\frac{6}{-5} =x$
Seventh, change the whole fraction into a negative.
$-\frac{6}{5} =x$
Eighth, switch your sides.
$x = -\frac{6}{5}$

Answer as fraction: $-\frac{6}{5}$
Answer as decimal: -1.2

4 0

3 years ago