A library has 70 books about George Washington Carlo has read 14 of the books. What fraction of the books about George Washington has Carlo read?​

Answer:

[tex]z^2-5z+4=(z-4)(z-1)[/tex]

Step-by-step explanation:

Answer:

Smaller number = 8 (x)

Larger number = 24  (y)

Step-by-step explanation:

x+y=32

7x+3y=128

Solving by Elimination

-3x-3y= -96

7x+3y=128

4x=32

4x/4=32/4

x=8

-7x-7y= -224

7x+3y=128

-4y= -96

-4y/-4= -96/-4

y=24

Check answer

x+y=32

8+24=32

7x+3y=128

7(8)=3(24)=138

56+72=128

128=128

Answer:

C) Solution set of{x|X<-3} n {xl x> 5) is an the empty set.

Step-by-step explanation:

Here, the solution set is given as : set of  {x| x < -3 } ∩   {x l x > 5)

Now, defining the each set , we get

{x| x < -3 }   = ( .... -6,-5,-4 ,-3)  = P

and the SET  {x l x > 5} = (5,6,7,........ )  = Q

Now, by taking the intersection of two sets,we get

P ∩ Q = NULL SET as they don not have any element in common.

⇒ {x| x < -3 } ∩   {x l x > 5} is an empty set

Hence, solution set of{x|X<-3} n {xl x> 5) is an the empty set.

Answer:

28 oz can is the better deal.

Step-by-step explanation:

In order to compare the two, we need to find the unit rate for each can. In this case, the unit rate will be in dollars per oz.

For the 28 oz can,

unit rate = $1.89 ÷ 28 = $0.675 / oz

For the 32 oz can

unit rate = $2.95 ÷ 32 = $0.922 / oz

comparing the unit rates, we can see that the unit rate for the 28 oz can is lower (i.e it costs less per oz for the 28 oz can compared to the 32 oz can)

Hence the 28 oz can is the better deal.

Answer:

3.5 unit right and compressed by 3.5 units respectivleyy

Step-by-step explanation:

Answer:

Part A) The rate is [tex]\frac{12}{4}\ \frac{feet}{years}[/tex]

Part B) In 1 year the tree grows 3 feet

Step-by-step explanation:

Part A)  write the rate at which this tree grows as a fractions

we know that

To find out the rate at which the tree grows divide 1/4 foot by 1/12 year

so

[tex]\frac{(1/4)}{(1/12)}=\frac{12}{4}\ \frac{feet}{years}[/tex]

Part B) how many feet does the tree grow in 1 year?

we know that

The tree grows at rate of [tex]\frac{12}{4}\ \frac{feet}{years}[/tex]

Simplify

[tex]\frac{3}{1}\ \frac{feet}{year}[/tex]

That means ----> The tree grows 3 ft in 1 year

therefore

In 1 year the tree grows 3 feet

Answer:

He made 16 groups which means 5 Students in each group

Step-by-step explanation:

Because 80 divided by 16 is 5 and 5 is a prime number

To graph 2/5 on a number line, divide the number line into equal segments and locate the point that represents 2/5.

To graph 2/5 on a number line, divide the number line into equal segments and find the point that represents 2/5. Start by labeling the endpoints of the number line with the corresponding values. In this case, you can label 0 on the left and 1 on the right. Since the number line is divided into 5 equal segments, mark the points that correspond to 1/5, 2/5, 3/5, and 4/5 between 0 and 1. Then, locate the point that corresponds to 2/5 and mark it on the number line. Remember to place a dot to represent the point.

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Answer:

0.2988

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

;

Solve 2y + 3x = 7 and 4x + 3y = 15 by elimination, we get x = -9, y = 17. Multiply and subtract equations to eliminate y, then substitute the result to find x or y.

To solve the system of equations 2y + 3x = 7 and 4x + 3y = 15 using the elimination method, we aim to eliminate one variable to solve for the other. Here's a step-by-step explanation:

The solution for the system of equations is x = -9 and y = 17.

Answer:

The graphs of the functions are both straight lines and parallel to x-axis

Step-by-step explanation:

The graph of f(x) is the line y = 16 which is parallel to x-axis.

This is because for every value of x the function f(x) only takes the value 16

Similarly the graph of g(x) is also a straight line but is characterized by y = 3/64. This line is also parallel to the x-axis.

For every value of x the function g(x) only takes the value 3/64

Answer:

We rewrite the statement correctly:

 "A linear function has an y-intercept of 12 and a slope of 3/8"

 Therefore, the linear function is:

 y = (3/8) x + 12

 We look for the linear function of the table:

 y-yo = m (x-xo)

 Where,

 m = (y2-y1) / (x2-x1)

 m = ((- 3/8) - (- 3/4)) / ((1/3) - (- 2/3))

 m = ((- 3/8) - (- 6/8)) / (3/3)

 m = ((- 3 + 6) / 8) / (1)

 m = 3/8

 (xo, yo) = (- 2/3, -3/4)

 Substituting:

 y + 3/4 = (3/8) (x + 2/3)

 y = (3/8) x + 2/8 - 3/4

 y = (3/8) x + 1/4 - 3/4

 y = (3/8) x + -2/4

 y = (3/8) x + -1/2

 The lines are:

 y = (3/8) x + 12

 y = (3/8) x + -1/2

 Answer:

 It has the same slope and a different y-intercept

Step-by-step explanation:

Answer:

B same slope but different y intercept

Step-by-step explanation:

54 54 54

54 54 54

54 54 54

Answer:

The answer is x = 5.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with AB = CA

   m∠ ABC = ( 6x + 4 )°

   m∠ BAC = 73°

   m∠ BCA = ( 8y - 7 )°

To Find:

x = ?

Solution:

Properties of an Isosceles Triangle.

Here , Δ ABC is an Isosceles triangle with AB = CA

∴  m∠ BAC = m∠ BCA

[tex]73= 8y-7\\8y=73+7\\8y=80\\y=\frac{80}{10} \\y=10[/tex]

∴      m∠ BCA = ( 8y - 7 )°

                       = 8 × 10 - 7

       m∠ BCA  = 73  Which is same as ∠ CAB

Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

[tex]\angle ACB + \angle CAB + \angle CBA = 180[/tex]

Substituting the values we get,

[tex]73 + 73 + (6x+4) = 180\\6x+4=180-146\\6x=34-4\\6x=30\\x=\frac{30}{6} \\x=5\\[/tex]

The answer is x = 5.

Answer:

x=6, y=9. (6, 9).

Step-by-step explanation:

-x+y=3

-4x+3y=3

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

-x=3-y

x=-3+y

x=y-3

---------

-4(y-3)+3y=3

-4y+12+3y=3

-y+12=3

-y=3-12

-y=-9

y=9

-x+9=3

-x=3-9

-x=-6

x=6

x=6, y=9.

Answer:

Step-by-step explanation:

1) 7x^2-5x+10x-8x=7x^2+5x-8x=7x^2-3x

2) -6a^3+5a^3+2a-a=-a^3+2a-a=-a^3+a

3) -4(x+5)-5(x-1)=-4x-20-5x+5=-9x-20+5=-9x-15

4) -a+5b-6a+5(a+1)=-7a+5b+5a+5=-2a+5b+5

5) 18x^4-3x^3-2x^3+x^2-10+6

=18x^4-5x^3+x^2-4

To simplify algebraic expressions, combine like terms, variables and exponents. We simplified five examples, using techniques such as distribution and combining like terms.

To simplify algebraic expressions, one has to combine like terms, which are terms with the same variables and exponents. Here, let's do that:

7x2 – 5x + 10x - 8x simplifies to 7x2 + 5x because -5x + 10x - 8x = 5x.

-6a3 + 5a3 + 2a? - a? simplifies to -a3 + a (assuming the '?' is meant to be a variable).

- 4(x + 5) – 5(x - 1) simplifies first by applying distribution (-4x -20 -5x +5) which then becomes -9x - 15.

-a + 5b - 6a + 5(a + 1) simplifies to -2a + 5b + 5 once you distribute and combine like terms.

18x4 - 3x3 - 2x3 + x2 - 10 + 6 simplifies to 18x4 - 5x3 + x2 - 4 since -3x3 and -2x3 add up to -5x3 and -10 and 6 adds up to -4.

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In the context of the question, the Y-intercept represents the cost of the tablet that Mio purchased before counting the ongoing costs per month for internet service.

In the context of this problem, the Y-intercept in the graph represents the cost of buying the tablet. Using the algebraic equation for a line, which is y = b + mx, the 'b' term is the Y-intercept. When x (in this case, the number of months) equals zero, y is the initial cost, which serves as our Y-intercept. This is the starting point on the Y-axis, and in the context of Mio's spending, this would be her initial expenditure which is the cost of the tablet itself.

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Good evening ,

Answer:

Vertex (-4 , 0)

axis x = -4

It’s a parabola.

Min = 0

Step-by-step explanation:

x2 + 8x + 16 = (x + 4)².

To find the depth of the swimming pool, use the formula for the volume of a rectangular solid and substitute the given values to calculate the depth as 2.5 meters.

The depth of the Olympic-size swimming pool can be calculated using its volume, length, and width.

First, use the formula for the volume of a rectangular solid:

Volume = Length x Width x Depth

4000 = 80 x 20 x Depth

Depth = 4000 / (80 x 20) = 2.5 meters

Depth = 2.5 meters

Answer:

a. .3

b. .7

c. The car is fairly reliable because there is more people with no mechanical issues than there is people with mechanical issues

Step-by-step explanation:

Answer:

A. 3

B. .7

C. The car is fairly reliable, their is more people with no mechanical issues than their is people with mechanical issues

Step-by-step explanation:

Answer:

The equivalents are 1/6¹⁰ and  1/6⁸

Step-by-step explanation:

1. Let's recall the rule about the negative exponents to find the equivalents to the expressions provided:

The rule says that any number different than zero, raised to a negative power equals its reciprocal raised to the opposite positive power.

Thus, x ⁻ⁿ = 1/x ⁿ

2. Now, let's find the equivalents after following the rule:

6 ⁻ ¹⁰ = 1 ÷ 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 1/6 ¹⁰

6 ⁻ ⁸ = 1 ÷ 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6  = 1/6 ⁸

Answer:

The area  of the cover for the hot tub must be:

Step-by-step explanation:

First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:

Since the diameter is mentioned, it can be replaced in the formula:

Answer:

I believe it is 38

Step-by-step explanation:

HAVE A GOOD DAY AND GOD BLESS YOU

The answer to your question is D, as 5 is being multiplied by c, and the term product refers to multiplication.

Answer:

√(4/5)

Step-by-step explanation:

First, let's use reflection property to find tan θ.

tan(-θ) = 1/2

-tan θ = 1/2

tan θ = -1/2

Since tan θ < 0 and sec θ > 0, θ must be in the fourth quadrant.

Now let's look at the problem we need to solve:

sin(5π/2 + θ)

Use angle sum formula:

sin(5π/2) cos θ + sin θ cos(5π/2)

Sine and cosine have periods of 2π, so:

sin(π/2) cos θ + sin θ cos(π/2)

Evaluate:

(1) cos θ + sin θ (0)

cos θ

We need to write this in terms of tan θ.  We can use Pythagorean identity:

1 + tan² θ = sec² θ

1 + tan² θ = (1 / cos θ)²

±√(1 + tan² θ) = 1 / cos θ

cos θ = ±1 / √(1 + tan² θ)

Plugging in:

cos θ = ±1 / √(1 + (-1/2)²)

cos θ = ±1 / √(1 + 1/4)

cos θ = ±1 / √(5/4)

cos θ = ±√(4/5)

Since θ is in the fourth quadrant, cos θ > 0.  So:

cos θ = √(4/5)

Or, written in proper form:

cos θ = (2√5) / 5

Answer:

x=-6

Step-by-step explanation:

Follow along:

1. Distribute the -3 to those within the parenthesis.

-3x-6=12

2. Move the whole numbers to one sides, isolate the variable.

-3x=18

3. Divide both sides by -3

x=-6

Answer:

Step-by-step explanation:

12:32 am

Answer:

1:32 AM

Step-by-step explanation:

Arriving in Oklahoma City, the time is already 12:32 AM since it is past midnight. From Mountains to Central, time moves forward by 1 hour. 12:32 + 1 hour is 13:32 or 1:32 AM. Since the time is still past midnight, the time is AM.

Answer:

An independent clause is a group of words that contains both a subject and a predicate. It expresses a complete thought and can stand alone as a sentence. It can also be joined to other dependent or independent clauses to make a more interesting and complex sentence.Step-by-step explanation:

Answer:

x = 0 , y = 2

Step-by-step explanation:

Solve the following system:

{6 x - 5 y = -10 | (equation 1)

4 x + 3 y = 6 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{6 x - 5 y = -10 | (equation 1)

0 x+(19 y)/3 = 38/3 | (equation 2)

Multiply equation 2 by 3/19:

{6 x - 5 y = -10 | (equation 1)

0 x+y = 2 | (equation 2)

Add 5 × (equation 2) to equation 1:

{6 x+0 y = 0 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 6:

{x+0 y = 0 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 0 , y = 2