Chris has 5 1/2cups of water in a pitcher. He pours 3/8cup of water into a glass.

How many cups of water is left in the pitcher?

Enter your answer in the box as a mixed number in simplist form.

Answer:

let's firstly convert the mixed fractions to improper fractions and then add/subtract.

[tex]\stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}}~\hfill \stackrel{mixed}{7\frac{1}{5}}\implies \cfrac{7\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{36}{5}} \\\\[-0.35em] ~\dotfill\\\\ 8\frac{1}{3}~~ +~~\left( -7\frac{1}{5} \right)\implies \cfrac{25}{3}+\left( -\cfrac{36}{5} \right)\implies \cfrac{25}{3}-\cfrac{36}{5}\implies \stackrel{\textit{using }\stackrel{LCD}{15}}{\cfrac{(5)(25)~-~(3)(36)}{15}}[/tex]

[tex]\cfrac{125-108}{15}\implies \cfrac{17}{15}\implies \stackrel{\mathbb{POSITIVE}}{1\frac{2}{15}}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

D) 27.98

Step-by-step explanation:

All you have to do is subtract, have a nice day <3

If D is the vertex on the bottom face of the cube below ∆ABC, then ∆BCD is an isosceles right triangle with legs of length 4, so BC has length 4√2.

The right triangles ∆ABD and ∆ACD both have legs of length 4 (on the bottom face) and 8 (the length of AD) so the hypotenuses AB and AC each have length √(4² + 8²) = 4√5.

Then in ∆ABC, the altitude has length x such that

(4√5)² = x² + (1/2 × 4√2)²

80 = x² + 8

x² = 72

x = √72 = 6√2

Presumably, you meant to say that this altitude has length a√b. Then a = 6 and b = 2, so a + b = 8.

The measure of a + b given that [tex]a\sqrt{b} = 6\sqrt{2}[/tex] is 8

From the given diagram, we have that the side length of the cube is 8units.

Let the midpoint of BC is E. The required length will be AE

Get the hypotenuse AC using Pythagoras theorem;

AO = 8 units

OC = 3 units

Get the measure of AC

[tex]AC^2 = AO^2+OC^2\\AC^2=8^2+4^2\\AC^2=64+16\\AC^2=80\\AC^2=80\\AC=4\sqrt{5}[/tex]

Next is to get the length of BC using Pythagoras theorem:

[tex]BC^2=4^2+4^2\\BC^2=16+16\\BC^2=32\\BC = \sqrt{32}\\BC=4\sqrt{2}[/tex]

Get the measure of EC

[tex]EC=\frac{4\sqrt{2} }{2} \\EC=2\sqrt{2}[/tex]

Get the required length of AE using Pythagoras theorem;

[tex]AC^2=AE^2+EC^2\\(4\sqrt{5})^2= AE^2+(2\sqrt{2} )^2\\AE^2=80-8\\AE^2=72\\AE=\sqrt{72}\\AE =\sqrt{36\times 2}\\AE=6\sqrt{2}[/tex]

Compare with the radical function [tex]a\sqrt{b}[/tex], where a = 6 and b = 2, hence [tex]a+b= 6+2 =8[/tex]

Learn more here: https://brainly.com/question/11748505

Answer: It is S.

Step-by-step explanation:

S: y= -1/4x + 2

        +1/4    +1/4

        y = 2 1/4x

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve the problem in 2 steps, one being Solving and the other being Comprehending. I'll start off with comprehending.

Comprehending

So, we know that 10% of a number is $16. That means that [tex]\frac{1}{10}[/tex] of the number "[tex]x[/tex]" is equal to $16.

A percentage is basically a fraction of something, for example, 25% of a number would be [tex]\frac{1}{4}[/tex] of the same number.

Example:

25% of 10 = [tex]\frac{1}{4} * 10 = 2.5[/tex]

2.5 is 25% of 10 = [tex]2.5 \div \frac{1}{4}=10[/tex]

Now that we know the basics, we can do the real solving.

Solving

To solve, the question, we can first read the problem and make an equation,

"10% of [tex]x[/tex] is 16."

We can then make a equation.

[tex]x(\frac{1}{10})=16[/tex]

[tex]x=16 \div \frac{1}{10} \\x=160[/tex]

After solving, we know that 10% of 160 is equal to 16. We can prove that with the following:

[tex]16*10=160[/tex]

After solving our equation, we can see that the answer is $160.

$16 is 10% of $160.

Cheers!

Answer:

g(-1) = -5

g(2a+1) = 16a+11

Step-by-step explanation:

Substitute the given value into the function and evaluate.

So for g(x) = 8x+3

You substitute g(-1)

So g(-1) = 8(-1)+3

That is how you get -5

Then g(2a+1)

So g(2a+1) = 8(2a+1)+3

Thats how you get 16a+11

Hope this helps. Mark as brainlist

Answer:

Total Area = 235cm^2

Step-by-step explanation:

Step 1 ) we have our lengths 11 and 20 so we need to separate the into 2 shapes  Step 2)   Label and draw new shape 20-11 = 9  to show (Shape square  1) = measuring 9 *9 and   another  (Shape Rectangle 2) = 11* 14  Step 3) Show how you do the multiplication of Square shape 9* 9 = 81cm^2  and Area Rectangle 11 * 14 = 154 cm^2   Total Area = 81+154 = 235cm^2    You can if you like in table multiplication show 11*14 by adding a zero underneath the 14 = 140 +14 = 154 then add and show +81 = 235cm^2 It is always easier to retain a shape if subtracting to get a 2nd shape this way it saves time with subtraction and in my example only needed to subtract 20-11 = 9 then 9*9 = 81cm^2 to retain the 14 *11 = 154cm^2 area for the rectangle

Answer:

Step-by-step explanation

full rectangle area (see figure) - small rectangle area

14 * 20 - [(14 - 9) *(20 - 11)] =

280 - (5 * 9) =

280 - 45 =

235 cm²

Answer:

$48.70

Step-by-step explanation:

Answer:

[tex]f(x) = x {}^{2} - 1 \\ f(5) = (5) {}^{2} - 1 \\ = > 25 - 1 \\ = > 24[/tex]

hope helpful <3

Answer:

20

Step-by-step explanation:

4 + 5 = 9

45 / 9 = 5

4 * 5 = 20

hope this helps

Answer:

Step-by-step explanation:

Noncurrent assets are a company's long-term investments that are not easily converted to cash or are not expected to become cash within an accounting year. ...

Answer:

$84.40

Step-by-step explanation:

mowing: $9.40/hour

babysitting: $7.80/hour

4 hours mowing + 6 hours babysitting =

= 4 × $9.40 + 6 × $7.80

= $37.6 + $46.8

= $84.40

Answer:

$84.40

Step-by-step explanation:

$9.40 · 4 + $7.80 · 6 = ?

9.4 · 4 = 37.60

7.8 · 6 = 46.80

37.60 + 46.80 = $84.4

I hope this helps!!

Answer:

K, i'll help, btw thx for pts <3

Step-by-step explanation:

Blank 1: 7

Blank 2: 3

Blank 3: 2

Blank 4: 2

Answer:

Step-by-step explanation:

Given trinomial:

It has two perfect squares  and a variable with negative coefficient.

It can be representing a:

If we substitute m with x and n with 4,  we'll get 2mn = 2*x*4 = 8x.

This gives us b = 8

The dot plot in option (C) matches the given data.

Based on the values of each point, a dot plot visually groups the number of data points in a data set. Similar to a histogram or probability distribution function, this provides a visual representation of the data distribution.

Data points are represented as dots on a graph with an x- and y-axis in a data visualisation technique called a dot plot, often referred to as a strip plot or dot chart.

We have the data,

0,0,0,1,1,1,1,2,2, 2, 3, 3, 4, 4,8

We have four dot plot.

Dot plot A missing the data 3.

Dot plot B have only one 3.

Dot plot C have the same data.

∴ From the four options, the dot plot in option (C) matches the given data

Learn more about dot plot here

brainly.com/question/21862696

#SPJ7

Answer:

-1.5

Step-by-step explanation:

3.0 - 4.5 is the same as 3.0 + (-4.5)

in this instance you subtract 3.0 from 4.5 and keep the sign of the larger number, which is 4.5 (you disregard the negative sign)

Answer: 58

Step-by-step explanation:

Answer:

Question 1.  38.6 %   2.  61.4%

Step-by-step explanation:

(New Cost - Old Cost) ÷ old Cost × 100

    (305 - 220) ÷ 220 x 100

    =   85/220 x 100

    = 38.6 %

2.  New Cost 305 + 50 = $355    

(Now new cost - old cost) ÷ old cost ×  100

    (355 - 220)  ÷ 220 × 100  

    =  135/220 × 100

        61.4%  

Answer:

$308

Step-by-step explanation:

I am not sure if this is correct. But try it and let me know if it was

Divide the option with 4 so that you can get the equivalent ratio to 5:9 .

Answer:

17

Step-by-step explanation:

Answer: 17:850  

Step-by-step explanation:

A Ratio explains how two commodity or items are related and how much of one is contained in another. in the ratio 7 : 350, 7 is contained in 350 by 50 times, this is gotten by dividing 350 by 7 to get a reduced ratio of 1:50. :(Tip-Divide the first number by the second.)

p²a = p²e + r

p²a - p²e = r

(a-e)p² = r

p² = [tex]\frac{r}{a-e}[/tex]

p = ±[tex]\sqrt{\frac{r}{a-e} }[/tex]

C

Answer:

y=1/2x+2

y=1/2x+4

(1/2x+1/2x)+2+4

2/2x+6

I think it may be the answer

irrational number, any real number that cannot be expressed as the quotient of two integers.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers.

1st Is rational

2nd one is irrational

3rd is irrational

4th is rational

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The zero is where the graph crosses the line y=0 (the x-axis). It is also called the x-intercept.

That point is (-6, 0). The x-value there is -6.

__

Some folks like the x-value only; others like the ordered pair. Of course the y-value in the ordered pair is 0, which is what makes it a zero of the function.

Answer:

9 pigs

Step-by-step explanation:

If 4 of them didn't die, he'd have made 8 more dollars. 18/2=9.