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Answer:

-5/12

Step-by-step explanation:

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

-13/6 - (-7/4) =

-5/12

-5/12

Step-by-step explanation:

Step 1: Eliminating a negative and changing our operation

−2 1/6 + 1 3/4

Step 2: Rewriting our equation with parts separated

-2 − 1/6 + 1 + 3/4

Step 3: Solving the whole number parts

−2 + 1 = −1

Step 4: Solving the fraction parts

−1/6 + 3/4 = ?

Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

−2/12 + 9/12 = 7/12

Step 6: Combining the whole and fraction parts

−1 + 7/12 = −5/12

Answer:

24 miles

Step-by-step explanation:

Given that the cost of the company consist of two elements; a fixed cost equivalent to $4 and a variable cost element which depends on the miles driven. If the car travels x miles then the cost will be

= 4 + 1*x

= 4 + x

If the total cost is $28 then

4 + x = 28

Subtract 4 from both sides

x = 28 - 4

= 24  

The car ride is

24/1 = 24 miles

Answer:

you will save 7.50 dollars.

Step-by-step explanation:

the sale price will be 42.50 dollars plus tax, if you need to include the tax.

Answer:

- 10 degrees Fahrenheit at 9:00 PM

Step-by-step explanation:

35 - 45 = -10

The median of the distribution of the class is 5 for the distribution 1,2,3,45,6,7,8,9,10

The median is the central value of the data set.

To find the median we have to use the formula:

If n is odd (n/2),(n+1/2)

If n is even (n/2)

Here the n is 10 so the median will be (10/2)=5

Hence the median will be 5 if the distribution is 1,2,3,4,56,7,8,9,10.

Learn more about median at  https://brainly.com/question/26151333

#SPJ2

Answer:

53/28 is the answer on delta math

Step-by-step explanation:

Answer:

48in²

Step-by-step explanation:

to find the area of a triangle you first divide the base by 2 then multiply it by the height

Answer: it's a linear function

The linear function is. S(t) = 50,434 + 675t

The function is increasing

Step-by-step explanation:

I just said this question and I got it right

Answer:

False

Step-by-step explanation:

Because the red line on the right is shorter then the one on the left, hope this helps.

Answer:

a) $1961

b) $710

c) $2671

Step-by-step explanation:

Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month

Condo fees: $525/month

Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month

Water bill is quarterly, so 210/3 months. 210/3 = $70/month

a) housing expenses = mortgage, taxes, condo fees

1436 + 525 = $1961

b) utilities = electricity and water

640 + 70 = $710

c) all expenses listed

1961 + 710 = $2671

Answer:

[tex]\boxed {\boxed {\sf \ \frac {17}{77}}}}[/tex]

Step-by-step explanation:

The experimental probability is the probability of an event occurring in an experiment that was conducted. It is the ratio of the times an event occurred to the total trials.  

[tex]P(event)= \frac{ number \ of times \ event \ occurs} {total \ number \ of \ trials}[/tex]

We are trying to find the experimental probability of landing on green.

[tex]P(green)= \frac{17}{77}[/tex]

This fraction cannot be simplified any further, so the experimental probability of landing on the color green is 17/77

Answer:

89 degrees

Step-by-step explanation:

Since these angles make up a triangle, we know that the total of these angles will make 180 degrees. So, we need to set the equations up appropriately, and solve for x:

[tex]180=(4x+1)+(2x-6)+(6x-7)\\180=12x-12\\192=12x\\x=16\\[/tex]

Then, you plug 16 back into the equation for angle J, and simplify:

[tex](6(16)-7)\\(96-7)\\(89)[/tex]

Therefore, the answer is 89 degrees.

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

Answer:

$4.5

Step-by-step explanation:

Let the amount of money

Maria had = x

Nick had = y

All together Maria and Nick had $12.

= x + y = 12

x = 12 - y

After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.

30% of x = 50% of y

30/100 × x = 50/100 × y

0.3x = 0.5y

We substitute 12 - y for x above

0.3(12 - y) = 0.5y

3.6 - 0.3y = 0.5y

3.6 = 0.5y + 0.3y

3.6 = 0.8y

y = 3.6/0.8

y = $4.5

Therefore, in the beginning, Nick originally had $4.5

======================================================

Work Shown:

With a class total of 19, we know that A+B+C+D = 19.

12 students passed the test, which leaves 19-12 = 7 people who failed the test.

Of these 7 people who failed the test, 4 of them didn't do the hw. This leads to D = 4.

Note how C+D = 7 becomes C+4 = 7 and it solves to C = 3.

Since 13 people did the hw, we can say A+C = 13. Plug in that value of C we found earlier, to find that A = 10.

Lastly, solving A+B = 12 leads to B = 2.

------------

To summarize what we found so far:

Now onto the question your teacher is asking: "What is the probability that a student completed the homework given that they passed the test?"

The key phrase here is "given that they passed the test". Because of this phrase, we'll ignore anyone who didn't pass. We'll focus solely on the 12 students who passed. Of those 12 who passed, we found that A = 10 people did the hw.

Therefore, the probability of picking someone who did the hw, given the passed the test, is 10/12 = 5/6

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Answer:

Step-by-step explanation:

Let the x be the number of hours after noon.

We have the following equation:

Answer:

81.5

Step-by-step explanation:

make a proportion

20/100 = 16.3/x

Answer: 23349 in^3

Step-by-step explanation:

Answer:

20 Queens

Step-by-step explanation:

4:5

8:10

12:15

16:20

or

4:5 = 1:1.25

1.25 x 5 = 20

I hope this helps! ^_^

Answer:

Y=5(x) Yes it is porportional.

Step-by-step explanation:

So lets look at the graph.

We first have 1x = 5y

Well, that makes it seem like for each x there are 5 y.

Lets see the other values:

2x = 10y

Divide both sides by 2 tog et x alone:

1x=5y

Again, for each x, there are 5y.

This is true for each one:

3x=15y

=

1x=5y

4x=20y

=

1x=5y

5x=25y

=

1x=5y

and finally:

6x=30y

=

1x=5y.

So yes, this is poroportional.

It can be shown as x=5y, since for a single x, there are 5 y's.

Hope this helps!

Answer: [tex]-7.60,\ -4.47[/tex]

Step-by-step explanation:

Given

[tex]f(x)=-1.3x^2-15.7x-44.2[/tex]

The solution of the standard quadratic equation [tex]ax^2+bx+c=0[/tex] has solution

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Applying the above principle

[tex]\Rightarrow x=\dfrac{15.7\pm\sqrt{(-15.7)^2-4(-1.3)(-44.2)}}{2(-1.3)}\\\\\Rightarrow x=\dfrac{15.7\pm\sqrt{246.49-229.84}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm \sqrt{16.65}}{-2.6}\\\\\Rightarrow x=\dfrac{15.7\pm 4.08}{-2.6}\\\\\Rightarrow x=-7.60,\ -4.47[/tex]

The zeroes of the equation are -7.60, -4.47.

Answer: the answer is C.