a square has side lengths. How long is each diagonal?

Answer:

eme I sh na d9 si me 08 met sup Auburndale el sn ap7 42

The given graph is a proportional Relationship graph.

A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same.

Let us formulate a table of values of given graph

Time                       Distance

5                                     6

10                                    12

15                                    18

Now let us check whether the given values are making equivalent ratios or not by definition of proportional graphs.

5/6 is one

10/12 is 5/6

15/18 is 5/6

Hence the ratios are equivalent. The graph has same slope everywhere and passing through the origin.

Hence the graph is Proportional.

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Sarah practiced 7/20 of an hour more than Eloise

Given

Eloise did practice 2/5 of an hour

Sarah practiced for 3/4 of an hour

total time spent by Eloise = 2/5 x 60

                                           = 24 minutes

Total time spent by  Sarah = 3/4 x 60

                                             = 45  minutes

Hence Sarah spent 45-21 minutes more.

Sarah spent 21 minutes more than Eloise

Converting into fractions 21 minutes will be,

a/b x 60 =21

7/20 minutes

As a result, Sarah practiced the piano for 7/20 more minutes than Eloise.

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Answer:

15 gallons

Step-by-step explanation:

360 divided by 120= 3

3×5=15

Answer:

35%

Step-by-step explanation:

175/500

.35

35%

hope this helped

btw what did you just fail... lol ?

Answer:

216 square inches​

Explanation:

To find out how many square inches of wrapping paper she would need, calculate the total surface area of the triangular prism.

The triangular prism has five faces:

• Two equal triangles with base 6 in. and height 4 in.

• Two rectangles (Rectangle 1) of dimension 5 in. by 12 in.

• A rectangle of dimension 6 in. by 12 in.

Therefore:

She would need 216 square inches​ of wrapping paper.

SOLUTION

Notice that the total number of tokens is:

Notice that the number of red token is 5

Therefore the probability of that a selected token is red is:

Answer:

CP=Rs 20

Step-by-step explanation:

Selling price=Rs 25

Gain percent=25

then,

Cp =100*25/100+25

Cp=2500/100+25

Cp=2500/125

CP=Rs 20

Answer:

CP = ₹ 20

Step-by-step explanation:

           [tex]\sf \boxed{CP =\dfrac{100 }{(100+gain \ percent)}*SP}[/tex]

Gain % = 25%

SP = ₹ 25

          [tex]\sf CP = \dfrac{100}{100+25}*25\\\\ CP = \dfrac{100}{125}*25[/tex]    

                 = ₹ 20

Factory A uses more oil by 2.05×10⁵ lbs, total salt used is 4.805×10⁵ lbs and total ingredients used in factory A are 57.18×10⁵ lbs.

a) The oil used by Factory A = 5.61×10⁵ lbs

The oil used by Factory B = 3,56,000 lbs

The oil used by Factory B = 3.56×10⁵ lbs

Comparing the coefficient. Since 5.61 is greater than 3.56, the factory A used more oil. Difference in amount = 5.61×10⁵ - 3.56×10⁵

Difference in amount = 2.05×10⁵ lbs

b) Salt used by Factory A = 2.87×10⁵ lbs

Salt used by Factory B = 193,500 lbs

Salt used by Factory B = 1.935×10⁵ lbs

Total salt used by both the factories = 2.87×10⁵ + 1.935×10⁵ lbs

Total salt used by both the factories = 4.805×10⁵ lbs

c) Potato used by Factory A = 4.87×10⁶ lbs

Potato used by Factory A = 48.7×10⁵lbs

Oil used by Factory A = 5.61×10⁵ lbs

Salt used by Factory A = 2.87×10⁵ lbs

Total ingredients used in Factory A = 48.7×10⁵ + 5.61×10⁵ + 2.87×10⁵ lbs

Total ingredients used in Factory A = 57.18×10⁵ lbs

2.05×10⁵ lbs more oil is used by Factory A, 4.805×10⁵ lbs is the total amount of salt used and 57.18×10⁵ lbs ingredients are used in factory A.

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The complete question is attached in figure.

Answer: 3x+10=-14

I'm assuming you mean the sum three times a number x is -14

Step-by-step explanation:

3 times is 3 multiplied with a number, 3x

sum means the value you get from addition so it would be 3x+10 as its a number and ten

as the sum is -14 you set 3x+10 equal to -14

Answer:

Step-by-step explanation:

Can you write it in lines instead of like that, I can answer if you do that.

The expanded form of this number 570.086 will be  (5 × 100) + (7 × 10) + (8/100) + (6/1000)

It should be noted that expanded form simply means breaking down the number given into different units. A number can be written in expanded form by multiplying the sum of its digits.

The steps for writing a number in extended form are listed below.

Therefore, based on the information illustrated. This will be:

570.086 will be:

= (5 × 100) + (7 × 10) + (8/100) + (6/1000)

Note that your options aren't written well.

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Answer:

B I took semester test on k12 and got 100 Tell me if you want more answers

Step-by-step explanation:

Options 3 and 4 are empty sets.

Well-defined collection of objects or elements is called sets in mathematics. Set having no elements is known as empty set.

We can also define finite and infinite sets  based on the number of elements in a set. An empty set is denoted by the symbol '∅' and is read as 'phi'.

Given U = {x|x is a positive integer greater than 1},

It is not an empty set ,if the set has elements such that x is prime or 2x is prime( positive integer greater than 1).

As the elements in the option 3 and 4 are fractions, therefore they are  empty set as integers don't include fractions or decimals. Integer, also known as whole number, is any positive or negative number in which decimal parts or fractions is not included.

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Answer:

Disagree

Step-by-step explanation:

The decimal expansion may have a longer period than the division he carried out.

we have that

the experimental probability of spinning a 1 is 8 times

and

the experimental probability of spinning a 3 is 9 times

so

the experimental probability of spinning a 1 or a 3 is

8+9=17

answer is 17

Answer:

10%

Step-by-step explanation:

30+15=45

45 is 10% of 450 as 450/10= 45

Answer:

y=-8/3x-58/3

Step-by-step explanation:

8x-3y=-4 is y=8/3x+4/3

Make x negative so it is perpendicular

The plug (-8,2) so

2=8/3(-8)+b

Then

2=-64/3+b
-58/3=b plug b in to the equation so

You get

y=-8/3x-58/3
give brainliest pls

Answer:

3x + 8y = - 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

8x - 3y = - 4 ( subtract 8x from both sides )

- 3y = - 8x - 4 ( divide through by - 3 )

y = [tex]\frac{8}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{8}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{8}{3} }[/tex] = - [tex]\frac{3}{8}[/tex] , then

y = - [tex]\frac{3}{8}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute (- 8, 2 ) into the partial equation

2 = 3 + c ⇒ c = 2 - 3 = - 1

y = - [tex]\frac{3}{8}[/tex] x - 1 ← equation of perpendicular line in slope- intercept form

multiply through by 8 to clear the fraction

8y = - 3x - 8 ( add 3x to both sides )

3x + 8y = - 8 ← equation of perpendicular line in standard form

Answer:

13 cups of water.

Step-by-step explanation:

6.5 x 2 = 13

Answer = 13.

Hope this helps!

Btw, brainliest if correct, thanks!

Answer: ed3mt5i

Step-by-step explanation:

ok let me study

a) 75.80 percentage of students will be scoring below 550 in a typical year.

b) 22.2 marks should be set by the engineering school setas a comparable standard on ACT math test.

Here we have been mentioned that in the recent years, sat maths exam scores have averaged 480 with standard deviation 100. the average and standard deviation for act mathematics scores are 18 and 6, respectively.

a) The percentage of the students scoring below 550 marks in a typical year is calculated as follows:

Let x be the SAT score

So, x follows normal distribution

Given above,

mean (μ) = 480

standard deviation (σ) = 100

we will find P ( x < 550)

We will use the excel function NORM.DIST to find the required probability

P(x < 550) = NORM.DIST[tex](550, 480, 100, TRUE)[/tex]

= 0.7580

= 75.80%

Hence the percentage of the students who are scoring below 550 in a typical year = 75.80%

b) We calculate the score to be set by the engineering school as a comparable standard on the ACT math test as follows:

Let Z be the ACT score

Z follows the normal distribution

Given above, μ = 18 and σ = 6

Let Z' be the ACT score comparable to the standard set for SAT

Then we need to find Z' such that P(Z < Z') = 75.80% = 0.758

From standard normal tables we get Y' such that

Z' = NORM.INV[tex](0.758, 18, 6)[/tex]

= 22.2

The ACT score that needs to be set by the college = 22.2 marks

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√x > x↑2

This is because, x↑2 is equal to -.4 and √x is equal to 0.1. This means x equals to 0.2

The solution is : The true inequality is √x > x³, Option C.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

Here, we have,

Given 0.5≤ x ≤ 0.7

According to the range of x, we will check which option is true

Let x = 0.6

A. x/3 > √x

If x = 0.6

∴0.6/3  >  √0.6 ⇒  0.2 > 0.77  ⇒ Wrong inequality

B. x³ > 1/x

If x = 0.6

∴ 0.6³ > 1/0.6  ⇒ 0.216 > 1.667  ⇒ Wrong inequality

C. √x > x³

If x = 0.6

∴ √0.6 > 0.6³  ⇒ 0.77 > 0.216  ⇒ True inequality

D. (x/3) > (1/x)

If x = 0.6

∴  0.6/3  >  1/0.6   ⇒ 0.2  > 1.667  ⇒ Wrong inequality

So, The true inequality is option C.

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complete question:

Which inequality comparing two of the expressions below is true when 0.5

Following are the fractions in decimal form.

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

It is calculated by dividing the total number of parts by the number of equal parts that were counted (numerator) (denominator). Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.

a) 15 / 32 = 0.46875

b) 21/64 = 0.328125

c) 9/16 = 0.5625

d) 3/8 = 0.375

e) 1/80 = 0.0125

f) 11/1280 = 0.008593

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Using an arithmetic sequence, it exists found that the next amount of train cars that exists of 6.

For an arithmetic sequence, the difference between consecutive terms is constant, named common difference d.

The nth term of an arithmetic sequence exists given by the following rule: an = a1 + (n-1)d

Where a1 is the first term.

In the context of this problem, from the image, the number of train cars can be modeled by the following sequence exists (0, 2, 4, ...).

Which exists an arithmetic sequence with:

The first term of 0.

A common ratio of 2.

Therefore the next term of the sequence is given by:

4 + 2 = 6.

As 4 is the last term and 2 is the common ratio.

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The transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down therefore, option (B) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

As per the given graph  y = (x - 2)²

A function will shift a unit left for x → x + a and b units down if y → y -  b.

Replace x → x + 2 and y → y - 3

y = (x + 2 - 2)² -  3

y = x² - 3

Therefore, the transformation of the graph y = (x - 2)² to the graph of y=x²-3 is 2 units left and 3 units down".

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Answer: w=1.28

Step-by-step explanation:

swap the sides of the equation

2w=2.56

divide both sides of the equation by two

w=1.28

After 12 weeks, Bryant will know 48 appetizers

The first is to calculate the number of appetizers learnt in one week

12= 3

x= 1

cross multiply both sides

3x= 12

x= 12/3

x= 4

The number of appetizers learnt in 12 weeks can be calculated as follows

4= 1

y= 12

cross multiply both sides

y= 12 × 4

= 48

Hence 48 appetizers was discovered in 12 weeks

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