Loryn,brian,and edna are donating book to the library.loryn donated 7 more books than brian.enda donated twice as many books as loryn. Together they donated a total of 53 books how many books did loryn donate

Answer:

6 yards long

Step-by-step explanation:

1/3 yards wide = 2 yards long

Let x = length of the other rug

1 yard wide = x yards long

1/3 : 2 = 1 : x

1/3 ÷ 2 = 1 ÷ x

1/3 × 1/2 = 1 / x

1/6 = 1/ x

Cross product

1*x = 6*1

x= 6 yards

Therefore, the length of the new rug with 1 yard wide is 6 yards long

The first thing to do is to find the ratio of wide to long of the two rugs by representing the long of the second rug with x

It is the simplest method to solve the question

Answer:

1. 3 themes : space, safari, comics

2. 2 locations : skating rink, park

3. 3 days of the week : Friday, Saturday, Sunday

4. A safari theme at the skating rink on Saturday.

A comics theme at the park on Friday.

5. 6 different possible outcome are in the sample space.

I'm not sure if it's right but I hope it helps.

Step-by-step explanation:

Time = 5/6 - 2/6 = 3/ 6 = 1/2

Answer:

Step-by-step explanation:

Total number of ice cream invented for customers to try = 25 new flavours

Amount of least popular flavors  thrown out = 13 flavors

Remaining flavor nit thrown out = Total ice cream invented - amount thrown out = 25 - 13

= 12 flavors

The remaining number flavors that was produced is 12 flavors.

If 80 cartons of each of the remaining flavor was made, the total amount of cartons made = 12* 80 = 960 cartons.

Since 2 cartons contains 1 litre

960 cartons will contains (960*1/2) litres

Hence 960 cartons will contain 480litres of the ice cream.

This shows that there are total of 480 litres of ice cream in the cartons

Answer:

Yes, we can take either points as x and y because addition is commutative

Step-by-step explanation:

First of all, the midpoint formula is given as;

(x, y) = [((x₁ + x₂)/2), ((y₁ + y₂)/2)]

For example, if we assume that we have two endpoints having coordinates as (2, 5) and (4, 7)

Now, let (2, 5) represent the first coordinate and (4, 7) represent the second coordinate.

Thus, Coordinates of midpoint = [((2 + 4)/2), ((5 + 7)/2)]

This gives;

(x, y) = (3, 6)

Now,if we change the order of the coordinates by making (4, 7) to be the first coordinate and (2, 5) to be the second coordinate. Thus;

Coordinates of midpoint = [((4 + 2)/2), ((7 + 5)/2)] = (3, 6)

We can see that the coordinates of the midpoint remains the same even after interchanging the coordinates as first and second.

This is because we are adding two numbers and addition is commutative (in commutative properties, changing the order of the operands will not change the result). Thus, it doesn't matter in which order we have the endpoints.

Answer:

Slope: 0

Step-by-step explanation:

To find the slope use the expression y2 - y1/x2 - x1

Either of the coordinate can be y2 or y1 they just x1 and y1 have to be the same coordinate

Let's make (-12, -4) x2 and y2 & (-6, -4) x1 and y1

Next substitute the numbers into the expression

-4 +4/-12 + 6

This will equal 0/-6

The slope is only 0 because whenever you divide 0 by a number it will always be zero unless it is something like 14/0, this means it is undefined (only for slopes)

Answer:

0

Step-by-step explanation:

To find the gradient of a line, we take the change in the y value divided by the change in the x value.

In this instance, the line passes through (-6, -4) and (-12,-4) , that means the line has a constant y value.

Following the equation to find gradient, we take the difference in y divided by the difference in x

[tex]\frac{(-4) - (-4)}{(-6) - (-12)} = \frac{0}{6} = 0[/tex]

and we see that the gradient is 0, which means that it is a flat line

Answer:

x=5

Step-by-step explanation:

20(20-x) = 300

Divide each side by 20

20/20(20-x) = 300/20

20-x = 15

Subtract 20 from each side

20-x-20 = 15-20

-x = -5

Multiply each side by -1

x = 5

Answer:

x = 5

Step-by-step explanation:

20(20-x) = 300

20( -x + 20) = 300

-20x + 20 * 20 = 300

-20x = 300 - 400

x = -100 / -20

x = 5

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

So we have the equation:

[tex]\frac{-2-2x}{3} =-8[/tex]

First, multiply both sides by 3. This cancels out the denominator:

[tex]3(\frac{-2-2x}{3} )=3(-8)[/tex]

The left side cancels. Multiply the right:

[tex](-2-2x)=-24[/tex]

Add 2 to both sides. The 2s on the left cancel:

[tex](-2-2x)+2=(-24)+2\\-2x=-22[/tex]

Divide both sides by -2. The -2 on the left cancel.

[tex](-2x)/-2=(-22)/-2\\x=11[/tex]

Therefore, the answer is 11.

Answer:

x = 11

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

*(-2-2*x)/(3)-(-8)=0

Simplify:

*-2 - 2x  / 3

Pull out like factors:

*-2 - 2x  =   -2 • (x + 1)

Now It should look like this:

-2 • (x + 1) / 3 - (-8)  = 0

Rewrite the whole as a equivalent fraction using 3 as the denominator:

*-8 = -8 / 1 = -8 • 3 / 3

Add the two equivalent fractions which now have a common denominator

-Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

*-2 • (x+1) - (-8 • 3) / 3 = 22 - 2x / 3

Pull out like factors:

*22 - 2x  =   -2 • (x - 11)

Now you should have this:

*-2 • (x - 11)  / 3  = 0

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

-Now, to get rid of the denominator, multiply both sides of the equation by the denominator.

*-2•(x-11)  / 3 • 3 = 0 • 3

-Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

Now you should have this:

*-2  •  (x-11)  = 0

Now Solve:

x-11 = 0  

-Add  11  to both sides of the equation:

x = 11

Step-by-step explanation:

Let the 5 even integers be x-4,x-2,x,x+2,x+4

Hence, x-4+x-2+x+x+2+x+4=530

Hence, 5x=530

Hence, x=530/5

Hence,x=106

so.. the integers are 102,104,106,108,110

Answer:

the answer is x −[tex]5x+6(x5)24+|−2|[/tex] ohhh i didnt see the abcd

Step-by-step explanation:

Answer:

Step-by-step explanation:

( x + 4)( x² - 6x + 3)

Using the distributive property expand the expression

That's

x³ - 6x² + 3x + 4x² - 24x + 12

Group like terms

That's

x³ - 6x² + 4x² + 3x - 24x + 12

Simplify

We have the final answer as

Hope this helps you

Answer:

School to library = 875 feet

School to train station = 1000 feet

School to town hall = 1125 feet

Step-by-step explanation:

School to library: 3.5 cm

Since 2 cm is equal to 500 feet, then 1 cm is equal to 250 feet.

3.5 cm = 250 (3.5) = 875 feet.

School to train station: 4 cm

4cm = 4 (250) = 1000 feet.

School to town hall: 4.5 cm

4.5 cm = 4.5 (250) = 1125 feet.

Answer:

$13

Step-by-step explanation:

R = 10A - 20

110 = 10A - 20

add 20 to both sides

130 = 10A

divide by 10

13 = A

$13

Answer:

13 dollars

Step-by-step explanation:

R = 10A -20

Let R = 110

110 = 10A -20

Add 20 to each side

110+20 = 10A -20+20

130 = 10A

Divide each side by 10

130/10 = 10A/10

13 = A

Answer:

Perimeter of rectangle = 2(l+b)

= 2(8+5)cm

= 2*13 cm

= 26cm

Answer:

Jamie has 44 pairs of shoes

Step-by-step explanation:

Let

Jamie= x pairs of shoes

Suzie= 33 less than twice the amount of shoes Jamie has

2x - 33 = 55

Solve:

2x - 33 = 55

Collect like terms

2x = 55 + 33

2x = 88

Divide both sides by 2

2x / 2 = 88 / 2

x = 44

Jamie = x = 44 pairs of shoes

Therefore, Jamie has 44 pairs of shoes

Answer:

Step-by-step explanation:

The individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature.

A categorical data can be defined as a type of statistical data that is used to group information that are having the same attributes or characteristics. Some examples of a categorical data include the following:

In this scenario, the individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature i.e junior, senior and sophomore.

Read more on categorical data here: https://brainly.com/question/20038845

#SPJ2

Answer:

b

Step-by-step explanation:

bet

Answer:

x = (z-8)/(6-p)

Step-by-step explanation:

Here in this question, we are to solve for x.

In quite more understandable words, we are trying to make x the subject of the formula.

To do this, we simply bring together, the terms that have x common to them.

Let’s proceed mathematically;

z = 8 + 6x - px

Let’s take 8 to z to make it negative and factor out x since it’s common to the two terms on the right hand side of the equation.

z - 8 = x(6-p)

The final thing to do here is to isolate x and this gives the below;

We can do this by dividing both sides by the coefficient of x which is 6-p in this case.

Thus;

x = (z-8)/(6-p)

Answer:

11.3 cm

Step-by-step explanation:

The diagonal d divides the square into 2 right triangles with legs 8 and hypotenuse the diagonal d.

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 8² = 64 + 64 = 128 ( take square root of both sides )

d = [tex]\sqrt{128}[/tex] ≈ 11.3 cm

Answer:

[tex]\huge\boxed{c = 11.3 cm}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem:

[tex]c^2 = a^2 + b^2[/tex]

Where  c is the length of diagonal and a and b are the sides of the square

[Remember that all sides of the square are equal]

=> [tex]c^2 = 8^2 + 8^2[/tex]

=> [tex]c^2 = 64+64\\[/tex]

=> [tex]c^2 = 128[/tex]

Taking sqrt on both sides

=> c = 11.3 cm

Answer:

1/76543⁴

Step-by-step explanation:

76543¯⁴

The above expression can be simplified as follow:

76543¯⁴

Recall:

a¯ⁿ = 1/aⁿ

Therefore,

76543¯⁴ = 1/ 76543⁴

Thus, 76543¯⁴ is equivalent to 1/76543⁴.

Answer:

Answer:

1/76543⁴

Step-by-step explanation:

76543¯⁴

The above expression can be simplified as follow:

76543¯⁴

Recall:

a¯ⁿ = 1/aⁿ

Therefore,

76543¯⁴ = 1/ 76543⁴

Thus, 76543¯⁴ is equivalent to 1/76543⁴.

Step-by-step explanation:

Converse of the corresponding angles postulate

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

Explanation:

The corresponding angles postulate says that if we have two parallel lines, then the corresponding angles are congruent.

The converse of this is where we go in reverse: if we know the corresponding angles are congruent, then the lines are parallel.

Corresponding angles are ones where they are on the same side of the transversal line, and also on the same side of each adjacent parallel line. In this case, the angles 52 are to the right of the tranversal, and each are above their neighboring parallel line. We could say the two corresponding angles are both in the upper right hand corner (think of the two lines crossing to form 4 corners or regions)

We have a solution (2,2) so x = 2 and y = 2. Then:

[tex]2x+cy=8\\\\2\cdot2+c\cdot2=8\\\\4+2c=8\\\\2c=8-4\\\\2c=4\quad|:2\\\\\boxed{c=2}[/tex]

Answer:

32

Step-by-step explanation:

19-(-13)

=19+13 (after removing the brackets, the minus sign becomes positive)

=32

Answer:

32

Step-by-step explanation:

if there are two negative signs next to each other (they willl usually be separated by parenthesis) they would become an addition sign, so this question would actually be 19+13

Answer:

1.) Time in minutes

2.) Distance in feet.

Step-by-step explanation:

What is the independent quantity?

Independent quantity are the domain. In this question since the rate is 400 feet per minute, this can be refer to slope.

The independent quantity is therefore the time in minutes.

What is the dependent quantity?

Dependent quantity depends on independent quantity. Since time is the independent quantity, distance in feet will be the dependent quantity.

Answer:

(2x + 1)(x + 4)

Step-by-step explanation:

2x² + 9x + 4 cannot be factored normally - we must use the grouping technique (a > 1).

First, check for a GCF. Because there is not a GCF within this (factors of 9 are 1 and 3 - taking a 1 out is pointless), we will instead break the equation into two factors.

2x² will be apart of the first factor. You want to break the 9x into factors that will evenly break down with the 2x^2, so 3x will not work.

Your grouping factors should then be (2x^2 + 8x)(x + 4).

Then, take out the GCFs of the factors.

2x can come out of (2x^2 + 8x), so your new factor is 2x(x + 4). Your second factor set has no GCF, so you take out a 1 and get 1(x+4). In order to verify you did this correctly, the terms having the GCF distributed cannot be different in anyway.

Your factors are now (2x + 1)(x + 4) take the two GCFs and make them a factor set, then the second factor is the common factor.

Answer:

Answer is the fourth option

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

Convert the decimal into a fraction, then multiply both fractions.

For example:

0.5 × 1/4

0.5 is also 5/10 or 1/2.

1/2 × 1/4

Multiply both fractions.

(1 × 1)/(2 × 4)

= 1/8

Answer:I think its C

Step-by-step explanation:

Answer:

x=1, or 6, or 4 (D)

Step-by-step explanation:

x³-11x²+34x-24=0 solve by factorizing

(x-1)(x-6)(x-4)=0

x-1=0

x=1

if x-6=0

x=6

x-4=0

x=4

check : x³-11x²+34x-24=0

x=1 : (1)³-11(1)²+34(1)-24=0

1-11+34-24=-35+35=0   (correct)

x=6 : 6³-11(6)²+34(6)-24=0  (correct)

x=4 : 4³-11(4)²+34(4)-24=0 (correct)

Answer:

Step-by-step explanation:

[tex] - 2n(5 + n - 8 - 3n) \\ n = 3 \\ - 2(3)(5 + 3 - 8 - 3(3)) \\ - 6(5 + 3 - 8 - 9)[/tex]

[tex] - 6(8 - 8 - 9) \\ - 6( - 9) \\ = 54[/tex]

Step-by-step explanation:

Area of the room

= length x width

= 8 x 8

[tex] = 8^2 [/tex]

Answer:

(1, 0) and (-2, 0)

-2, 1, 2

Hope this helps anyone who needs it! :)

Answer:

38.4

Step-by-step explanation:

We have 8/2.5=3.2 What does this mean? Well, it means that (if the miles are porportional to the dogs) that means he will see 3.2 as many dogs. So, we have 12*3.2=38.4, or 38 if the homework is asking for a rounded number. Hope I helped!

Larry sees 12 dogs per 2.5 miles.

Your trying to find out how many dogs Larry sees in 8 miles.

[tex]\frac{2.5}{12} = \frac{8}{x}[/tex]

So you want to find x.

To go from 2.5 to 8, you have to multiply by 3.2

So do the same thing to the denominator; 12 × 3.2=38.4

Since there are 38.4 dogs, you have to round down because 0.4 dogs is no dog.

Larry sees 38 dogs in 8 miles.

♡ Hope this helped! ♡

❀ 0ranges ❀