• Kiana goes to the library. She borrows 5 books about planets
and 2 books about dinosaurs. How many books does Kiana
borrow in all?
• What is the unknown in this problem?
number of books about planets
number of books about dinosaurs
number of books in all

Answer:

0=0

Step-by-step explanation:

(x+6)(x-5) = x^2 + - 30

Step 1: Simplify both sides of the equation.

x^2 + x-30 = x^2 + x-30

Step 2: Subtract x^2 from both sides.

x^2 + x - 30 - x^2 = x^2 + x - 30 - x^2

x-30=x-30

Step 3: Subtract x from both sides.

x-30-x=30-x

-30 = - 30

step 4: Add 30 to both sides.

-30+ 30 = -30 + 30

0=0

Answer:

-6

Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

Ax + By = 3

A * (-7) + B * 2 = 3

-7A + 2B = 3

We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

x + 3y = -5

3y = -x - 5

y = (-1/3)x - (5/3)

So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:

Ax + By = 3

By = -Ax + 3

y = (-A/B)x + 3/B

This means that -A/B = -1/3. So, we have a relationship between A and B:

-A/B = -1/3

A/B = 1/3

B = 3A

Plug 3A in for B into the equation we had where -7A + 2B = 3:

-7A + 2B = 3

-7A + 2 * 3A = 3

-7A + 6A = 3

-A = 3

A = -3

Use this to solve for B:

B = 3A

B = 3 * (-3) = -9

So, B = -9 and A = -3. Then B - A is:

B - A = -9 - (-3) = -9 + 3 = -6

The answer is -6.

~ an aesthetics lover

Answer:

-6

Step-by-step explanation:

Let $A = (-3,8)$ and $B = (-5,4)$. The midpoint of $\overline{AB}$ is $\left( \frac{(-3) + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4,6)$.

The slope of $\overline{AB}$ is $\frac{8 - 4}{(-3) - (-5)} = 2$, so the slope of the perpendicular bisector of $\overline{AB}$ is $-\frac{1}{2}$. Therefore, the equation of the perpendicular bisector is given by

\[y - 6 = -\frac{1}{2} (x + 4).\]Isolating $y,$ we find

\[y = -\frac{1}{2} x + 4.\]Therefore, $m+b = -\frac{1}{2} + 4 = \boxed{\frac{7}{2}}.$

0 because there is no 7 on a fair 6-sided die

Answer:

The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a  fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.

Answer:

x = -8

Step-by-step explanation:

-10x-5 = -8x + 11

-10x + 8x = 11 + 5

-2x = 16

x = 16/-2

x = -8

Answer:

20% of 45 is 9. sale price- 9$

Step-by-step explanation:

20% of 45

20/100 = 0.20 (0.20) (45) = 9

Answer:

37.50

Step-by-step explanation:

45 ÷ 80% = 37.50

÷80% because original price reduced TO 80%.

Answer:

a

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ) , thus

f(x, y ) = (- y, x )

Given:

Function 'f' with two variables 'x' and 'y'.

To find:

Function rule if the parent function 'f' is rotated by 270° clockwise.

Solution:

A function given with two variables 'x' and 'y',

f(x, y) → (x, y)

If this function is rotated by 270° clockwise, the function rule will become,

f(x, y) → (-y, x)

Therefore, Option A will be the correct option.

Answer:

Below

Step-by-step explanation:

● A = (sinO +cosO)^2 +(sinO -cosO)^2

●A = sin^2(O) +2×sinO×cosO +cos^2(O)+sin^2O-2×cosO×sinO +cos^2(O)

● A = sin^2(O) +cos^2(O)+sin^2(O)+cos^2(O)

We khow that cos^2 x + sin^2 x = 1

● A = 1+1

● A=2

Answer:

X = 8.5, Y = 6.5

Step-by-step explanation:

X = # of children's books

Y = # of puzzle books

Amelie wants to buy 2 more children's books than puzzle books.

15 - 2 = 13 (Save the 2)

13 / 2 = 6.5

6.5 + 2 = 8.5

So; 8.5 + 6.5 = 15

X = 8.5

Y = 6.5

Answer:

48 = 12y

Step-by-step explanation:

First, we simplify

6 * 7 = 42

6 * 3y = 18y

6 * y = 6y

6 * 1 = 6

Then, rewrite the expression

42 - 18y + 6y + 6

Now, rearrange the expression

42 + 6 - 18y + 6y

Then, simplify

48 - 12y

Hope this helps!

Answer:

48 - 12 y

Step-by-step explanation:

6 (7 - 3 y) + 6 (y + 1)

Use distributive property to get rid of the parentheses:

42 - 18 y + 6 y + 6

now combine like terms:

(42 + 6 ) + (- 18 y + 6 y) = 48 - 12 y

Answer:

Option (C)

Step-by-step explanation:

"If the two secants are drawn to a circle form an external points then the product of the measures of one secant segment (inside the circle) and its external segment will be equal to the product of measures of the other secant's segments."

By this property,

8(8 + x) = 9(9 + 7)

64 + 8x = 144

8x = 144 - 64

8x = 80

x = 10

Therefore, Option (C) will be the answer.

Step-by-step explanation:

To find the factors of -20 (or 20), we ask ourselves: what numbers multiply each other to get -20?

We have:

-20 * 1

-10 * 2

-5 * 4

5* -4

10 * -2

20 * -1

All of these pairs are factors of -20. Choose two that you want to use! Hope this helps!

Answer:

2 and -10 or 4 and -5

Step-by-step explanation:

An integer is any whole number, positive or negative (so not fractions, decimals.... just numbers like -1, -2, 10, etc.).

Hence, there is not only one answer to your question...

It could be 2 and -10, 4 and -5... just not any decimals or fractions!

God bless and stay safe! I hope this helped.

Answer:

146x + 9

unless they have to be seperate not all combined

Answer:

k = 1[tex]\frac{1}{4}[/tex]  or 5/4

Step-by-step explanation:

5k = 5 + k

4k = 5

k = 5/4

Answer:

2.5

Step-by-step explanation:

Since 4/2 = 2 and 5/2 is 1/2 more than 4/2, then 5/2 is equal to 2 1/2 which can be rewritten as 2.5

Answer:

5/2 = 2,5

5  to divide 2 = 2,5

Step-by-step explanation:

Answer:

63.57817848

Step-by-step explanation:

all will be in degrees:

cos 40 sinx - sin 40 cos x = sin(x - 40) by the formula sin(A − B) = sinA cosB − cosA sinB

sin(x - 40) = 2/5

x - 40 = arcsin(2/5)

x - 40 = 23.57817848

x = 63.57817848 degrees

Answer:

x =  63.57817848

x = 196.4218215

Step-by-step explanation:

cos 40 sin x - sin 40 cos x = 2/5

sin x cos 40 - cos x sin 40 = 2/5

Using trig identities   sin(α – β) = sin(α) cos(β) – cos(α) sin(β)

sin ( x - 40) = 2/5

Rewriting as m = x-40

sin ( m) = 2/5

Taking the inverse sin of each side

sin ^-1 sin m = sin ^-1 (2/5)

m = 23.57817848

m = 180 -23.57817848  = 156.4218215

now find x

x -40 = m

x = m+40

x = 23.57817848 +40 = 63.57817848

x = 156.4218215 + 40 = 196.4218215

Answer:

THE TOTAL CHARGE WILL BE ZERO.

Step-by-step explanation:

BECAUSE ATOMS ARE NEUTRAL WHEN THE PROTONS AND ELECTRONS HAVE THE SAME CHARGE

HOPE THIS HELPS YOU IF IT DID PLZ CLICK ONTO THANKS AND MARK AS BRAINLIEST

Answer:

See below.

Step-by-step explanation:

The graph is very unclear, but if you look at x = 2, and you go up until you intersect a point on the line, the y-coordinate of that point is the value written on the graph to the left of the y-axis.

Answer:

i think the answers c or d

by the way are you on odyssey ware or USA test prep

Step-by-step explanation:

Answer:

i can confirm its B

Step-by-step explanation:

hypothesis, if and only if, conclusion

Answer:

12. The formula to estimate the amount of material required to cover firm 1's structure not including the floor is π·r² + π·r·h

13. 10445.8 unit²

Step-by-step explanation:

12. The given parameters are;

The shape of the firm 1's structure = Cylindrical shape

The radius of the firm 1's structure = 35

Height of firm 1 structure = 60

The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base

The formula for the surface area of a cylinder = 2·π·r² + π·r·h

Removing the area of the base, we have

The surface area of a cylinder excluding the case  = 2·π·r² + π·r·h - π·r² = π·r² + π·r·h

The formula to estimate the amount of material required to cover firm 1's structure not including the floor = π·r² + π·r·h

13.

The amount of material to cover firm 1's structure not including the floor = π × 35² + π × 35 × 60 = 10445.8 unit².

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = [tex]\sqrt{40}[/tex] = 2[tex]\sqrt{10}[/tex]

Answer:

A. 21

Step-by-step explanation:

First, find h(1) and h(4) given the function, [tex] h(x) = x^3 - 1 [/tex]

[tex] h(1) = (1)^3 - 1 = 1 - 1[/tex]

[tex] h(1) = 0 [/tex]

[tex] h(4) = (4)^3 - 1 [/tex]

[tex] h(4) = 64 - 1 [/tex]

[tex] h(4) = 63 [/tex]

Average rate of change = [tex] \frac{h(b) - h(a)}{b - a} [/tex]

Where,

[tex] a = 1, h(a) = 0 [/tex]

[tex] b = 4, h(b) = 63 [/tex]

Average rate of change = [tex] \frac{63 - 0}{4 - 1} [/tex]

[tex] = \frac{63}{3} = 21 [/tex]

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ \frac{ - 2}{3} }}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

A ( -13 , 15 ) ⇒( x₁ , y₁ )

B ( 20 , -7 )⇒( x₂ , y₂ )

Finding the slope :

[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]

plug the values

⇒[tex] \sf{slope = \frac{ - 7 - 15}{20 - ( - 13)} }[/tex]

We know that, [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{slope = \frac{ - 7 - 15}{20 + 13}} [/tex]

Calculate the sum

⇒[tex] \sf{slope = \frac{ - 22}{33} }[/tex]

Reduce the numbers with G.C.F 11

⇒[tex] \sf{slope = \frac{ - 2}{3} }[/tex]

Hope I helped !

Best regards!!

Answer:nnn

Step-by-step explanation:

jjj

Step-by-step explanation:

green: 6/4

red: 7/4

this is all i know

Greetings from Brasil....

Looking at the figure we can say that:

and

DF = 9X - 15

DE = 4X + 10

EF = 2X - 1

So

DF = DE + EF

9X - 15 = (4X + 10) + (2X - 1)

X = 8 and

DF = 9X - 15

The solution is, the value of DF is 57.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

from the given information, we get,

DF = DE + EF

and

DF = 9X - 15

DE = 4X + 10

EF = 2X - 1

So, we have to simplify ,

DF = DE + EF

9X - 15 = (4X + 10) + (2X - 1)

X = 8 and

DF = 9X - 15

DF = 57

Hence, The solution is, the value of DF is 57.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ3

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 74 inches

The statement

The length of a rectangle is 2 inches less than twice it’s width is written as

l = 2w - 2

Substitute this expression into the perimeter formula and solve for the width

That's

74 = 2(2w - 2) + 2w

74 = 4w - 4 + 2w

6w = 78

Divide both sides by 6

w = 13

Substitute this value into l = 2w - 2

l = 2(13) - 2

l = 26 - 2

l = 24

Therefore we have

length = 24 inches

width = 13 inches

Hope this helps you

Answer: 16

Step-by-step explanation:

multiply -4 onto (3-6) and set 8÷2 off to the side for now

-4(3-6)

-12+24 combine them

12 then solve 8÷2 which is 4

12+4 = 16

Answer:

The mystery number is 351.

Step-by-step explanation:

Let the numbers be xyz.

Since the digits total is 9, then '9' cannot be among since summing it with other digit(s) will be greater than 9. Hence, '9' cannot be among the digits.

Also, '7' cannot be among the three digit number, since adding 7 to any two of the remaining three digits (that is, 1, 3, and / or 5) will make the total greater than 9. Hence, '7' also cannot be among the digits.

The remaining digits are 1,3 and 5; which all sum up to 9. That 1 + 3 + 5 = 9.

Hence the mystery number is 351.

Answer:

2500 gallons or water.

Step-by-step explanation:

Atlantic ocean contains 2 x 10¹⁶ gallons of water.

lake Ontario has approx 8 x 10¹² gallons of water.

req'd:

how many lake ontarios would it take to fill the Atlantic ocean in gallons of water?

= 2 x 10¹⁶ gallons of water

  8 x 10¹² gallons of water

= 2500 Lake Ontarios to fill The Atlantic Ocean

2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.

Given that,
The Atlantic Ocean region contains approximately 2 × 10^16 gallons of water.
Lake Ontario has approximately 8,000,000,000,000 gallons of water or 8 * 10¹².
To determine how many Lake Ontarios would it take to fill the Atlantic Ocean region in terms of gallons of water

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Lake Ontarios would it take to fill the Atlantic Ocean region
= 2 × 10¹⁶ / 8 * 10¹²
= 0.25 * 10⁴
= 2500 times the  gallons of water Lake Ontarios

Thus, 2500 times the gallons of water Lake Ontarios will take to fill the Atlantic Ocean region.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Answer:

10

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180° , thus

exterior angle + 144 = 180 ( subtract 144 from both sides )

exterior angle = 36°

The sum of the exterior angles = 360°

Thus number of sides n is calculated as

n = 360 ÷ 36 = 10

Answer:

Step-by-step explanation:

One of the interior angles of a polygon can be found using the formula

where n is the number of sides of the polygon

From the question

One of the interior angles = 144

To find the number of sides substitute this value into the above formula and solve for n

That's

Cross multiply

We have

Expand the terms in the bracket

Group like terms

Divide both sides by - 36

That's

We have the final answer as

Hope this helps you