Estimate the square root to the nearest integer.

Given:

An elephant drinks 49 gallons of water per day.

A rhinoceros drinks 21 gallons of water per day.

To find:

The total amount of water the animals will drink in 8 days.

Solution:

In each day,

Elephant drinks = 49 gallons

Rhinoceros drinks = 21 gallons

Total amount of water they will drink each day is

[tex]49+21=70[/tex]

They will drink 70 gallons in each days.

So, total amount of water the animals will drink in 8 days is

[tex]8\times 70=560[/tex]

Therefore, they will drink 560 gallons of water in 8 days.

Answer:

No, 3 1/4 is more

Step-by-step explanation:

1 3/4 added by 1 1/2 equals 3.25

Think of it as quarters.

you have $1 and 75 cents and in the other one you have $1 and 50 cents

together you would have $3 and 25 cents.

Okay now the paragraph form...

You would not have enough milk because three and one-fourth (cups of milk) is more than three (cups of milk). I found my answer by adding one and three-fourths by one and a half. You would have to go buy one-fourth of milk if you wanted to create both recipes.

<3 Enjoy,

    Dea

Answer:

y=4x-6

Step-by-step explanation:

trust me.

Answer:

Slope is 1/2

Step-by-step explanation:

Slope Formula = m = y2 - y1/x2 - x1

Point = (4,2) and (10,5)

m = y2 - y1/x2 - x1

m = 5 - 2/10 - 4

m = 3/6

m = 1/2

Answer: is x = -8

this is how i got it ______

6 x - 3 - 11 - 8 x = 2

(simplify both sides and combine like terms)

(6x + -8x ) + ( -3 + -11) = 2

- 2x  +  -14 = 2

-2x  -  14 = 2

( then you add 14 to both sides)

- 2x - 14 = 2

     +14       +14

-2x = 16

( then you divide both sides by -2)

-2x / -2   =   16/ -2

x = -8

ta da!! happy to help!

it made it here. this is for the second one.

( first, we subtract 8n from both sides)

13n + 26 = 8n - 29

-8n           -8n

5n + 26  =  -29

( then we subtract 26 from both sides)

5n + 26 = -29

     - 26    -26

5n = - 55

(after that we divide both sides by 5, we do this to make n alone )

5n/ 5 = -55/ 5

n = -11

Answer:

A.

[tex] w \ge 300g + 1000 [/tex]

Step-by-step explanation:

weight of empty crate = 1000 grams

weight of an orange = at least 300 grams

That means that the weight of an orange is equal to or greater than 300 grams.

Weight of g oranges = at least 300g

Total weight of crate and oranges = w

[tex] w \ge 300g + 1000 [/tex]

Using the concept of combination, the value of the expression 9C4 is 126

Recall the combination formula :

[tex]9C4 = \frac{9!} {(9-4)!4!} [/tex]

[tex]9C4 = \frac{9 \times 8 \times 7 \times 6} {4 \times 3 \times 2 \times 1} [/tex]

[tex]9C4 = \frac{3024} {24} = 126 [/tex]

Therefore, the value of the expression 9C4 is 126.

Learn more : https://brainly.com/question/18405415

Answer:

a = -1 and 6

Step-by-step explanation:

[tex] \frac{a(a - 5)}{6} = 1[/tex]

[tex]a(a - 5) = 6[/tex]

[tex] {a}^{2} - 5a = 6[/tex]

[tex] {a}^{2} - 5a - 6 = 0[/tex]

[tex](a + 1)( a- 6)[/tex]

a = -1 and a = 6

Answer:

The slope is 1/2

Step-by-step explanation:

y²-y¹/x²-x¹

=5-3/5-1

=2/4

=1/2

Step-by-step explanation:

The best way to solve these is by making them into a equation, rise over run, or y over x.

[tex] \frac{3}{1} - \frac{5}{5} [/tex]

You will get the same answer nomatter which order these are values are in. Now, solve for this equation.

[tex] \frac{ - 2}{ - 4} [/tex]

Now this is negative and kind of messy, although, we can turn both values into positive values without the answer changing, just be careful on other problems with this technique as it doesn't always work.

[tex] \frac{2}{4} [/tex]

Now we can simplify again.

[tex]\frac{1}{2}[/tex]

The slope is 1/2!

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is 180°

so:

180° - 90° - 45° = 45°

two angles angles of the same measure, that means: x = 7

so:

      [tex]7^2+7^2=y^2\\\\y^2=7^2\cdot2\\\\y=\sqrt{7^2\cdot2}\\\\\bold{y=7\sqrt2}[/tex]

Answer:

B=30,000

Y=The Plane's altitude

M= -2,000

X= Minutes

Equation: y=-2,000x+30,000

Slope= ?

Y-intercept= the point where you start at

what is the altitude after 10 minutes?=10,000

How Long does it take to get to 0 altitudes?=15 (Minutes)

Step-by-step explanation:

What are the choices for slope

Answer:

Is this from delta math lol

Step-by-step explanation:

2c+2d

2(-8)+2(-p2=8r+7)

Now try

I hope this helps

im sorry if it doesn't

Step-by-step explanation:

Given

Divide by the following:

(a) 3x² + 2x + 1

Quotient = 2x, remainder = -3x + 5

(b) x³ - 3x + 2

Quotient  = 6, remainder  = 4x² + 22x - 7

(c) 6x² + x - 2

Quotient  = x, remainder = 3x² + x + 5

Answer:

Step-by-step explanation:

First let us get the slope of the line PQ and RS

For PQ;

Given P(6, -2) and Q(-2,8)

slope m = 8-(-2)/-2-6

slope of pQ = 10/-8

slope of PQ = -5/4

For RS

R ( − 4 , 3 ) and S(-9, y)

slope of RS = y-3/-9+4

slope of RS = y-3/-5

For PQ to be perpendicular to RS, the product of their slope must be -1

Hence -5/4 (y-3/-5) = -1

y-3/4 = -1

cross multiply

y-3 = -4

y = -4+3

y = -1

Hence the value of y for PQ to be perpendicular to RS is -1

Given:

Lee drew five rectangles as shown on this coordinate grid .

To find:

The correct statement.

Solution:

From the given diagram, it is clear that,

Dimensions of rectangle x are 6 by 3 units.

Dimensions of rectangle A are 7 by 3 units.

Dimensions of rectangle B are 6 by 3 units.

Dimensions of rectangle C are 3 by 6 units.

Dimensions of rectangle D are 6 by 4 units.

Dimensions of rectangle x and B are same and clearly it can be translation or rotation about the origin.

Dimensions of rectangle x and C are same but only rotation is not sufficient to get rectangle C from rectangle x.

Dimension of rectangle x, A and D are different, so they are not congruent and we cannot get rectangle A and D by rotation, reflection and translation.

Therefore, the correct option is B.

Hi there!

[tex]\large\boxed{g(f(x)) = 108x^{2} - 156x + 46}[/tex]

f(x) = 6x - 4

g(x) = 3x² - 2x - 10

To find (g(f(x)), substitute in the equation of f(x) as 'x' in g(x):

g(f(x)) = 3(6x - 4)² - 2(6x - 4) - 10

Simplify:

= 3(36x² - 48x + 16) - 2(6x - 4) - 10

= 108x² - 144x + 48 - 12x + 8 - 10

= 108x² - 156x + 46

Answer:

D.

Step-by-step explanation:

Answer:

What the equation is telling us is that after opening for 1 hour 15 minutes, there were 28 visitors

Step-by-step explanation:

The function we are given is ;

V(1.25) = 28

what this mean is that the number of visitors in the museum after 1.25 hours of opening is 28

1.25 hours is same as 1 hour (0.25 * 60) minutes

What is in the bracket is trying to convert the 0.25 hours to minutes

Since 1 hour is 60 minutes, 0.25 will be (0.25 * 70)

Which is 1 hour 15 minutes

So after opening for 1 hour 15 minutes, the museum had 28 visitors

A statement is convert into the equation by keeping the conditions equal in the form of expressions.

The given function tells that, in 1 hour, 15 minutes of the number of visitors, visit the museum is 28.

To identify the statement in the form of equation we need to know about the equation of statement.

A statement is convert into the equation by keeping the conditions equal in the form of expressions.

Given information-

The art museum opens at 9 A.M.

The art museum closes at 5 P.M.

The function [tex]V[/tex] gives the number of visitors in a museum [tex]h[/tex] hours after it opens.

The statement in the form of equation given in the problem is,

[tex]V(1.25)=28[/tex]

As the above equation is the function of visitors visit the museum in to the number of hours.

Here bracket value (1.25) of function [tex]V[/tex] tells the number of hours in which 28 visitors visit the museum.

Convert 1.25 hours is the 1 hour and 0.25 hours.

AS one hour equal to 60 minutes thus, the number of minutes in 0.25 hours,

[tex]=0.25\times60\\=15[/tex]

Hence the given function tells that, in 1 hour, 15 minutes of the number of visitors, visit the museum is 28.

Learn more about the equation made by statement here;

https://brainly.com/question/24710890

Answer:

B. 1

Step-by-step explanation:

The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.

Here, we have (6, -12) and (15, -3).

The difference in the y-coordinates is:

15 - 6 = 9

The difference in the x-coordinates is:

-3 - (-12) = -3 + 12 = 9

Divide 9 by 9:

9/9 = 1

The slope is thus 1, and the answer is B.

Answer: 7 Hours

Step-by-step explanation: 30 x 14(days)=420(mintue)/60( 1 hour)=7

Answer:

(-2,-5)

Step-by-step explanation:

(-2,-5)

Answer:

The books can be arranged in 170,544 ways

Step-by-step explanation:

This is a combination question since we are arranging

We simply want to find the number of ways to select 15 books out of 22 for arrangement

Mathematically, that will be;

22 C 15 = 22!/(22-15)!15! = 170,544 ways

Answer:

its a or y = -3/4x -3

Step-by-step explanation:

slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. the line intercepts at the y at point -3 so the y-intercept is -3 the slope is -3/4 and you just plug them into the slope intercept form

Answer:

84 arrangements

Step-by-step explanation:

First, we need to calculate the total number of roses that the shop owner has. We do this by adding the pink roses and the red roses that the owner has.

342 + 330 = 672 total roses

Now that we have the total number of roses we simply divide by the number of roses needed for each arrangement (8) in order to calculate the total number of arrangements that the owner can make.

672 / 8 = 84 arrangements

Answer:

Step-by-step explanation:

I need the expressions, please.

Answer:

Step-by-step explanation:

The statements are not provided in the question, however, we can deduce from the information given.

in the information provided, expenses are -ve(negative)

and allowances are +ve (positive)

if at the end of the month she balances are account and the total is zero

We can conclude that:

1. Her total expenses is equal to her allowance for the month

2. Meg spent all her allowances for the month