Write the equation x2=7x in standard form.

Answer:

The equation of the line is  y = 3x - 1

Step-by-step explanation:

In this question, we are asked to write the equation of the line using a point on the line and the slope of the line.

Mathematically, the slope-intercept form of a line can be written as;

y = mx + c

where m is the slope of the line and c is the y-intercept of the line. Now back to the question, we can see that we have all that is required for the line asides the value of the y-intercept C

To get this, we plug the values in the question into the equation of the straight line.

Here, we say y = 2, x = 1 and m = 3

2 = 3(1) + c

c = 2-3

c = -1

Thus, the equation of the line is  y = 3x - 1

Answer

B volume and temp

Step-by-step explanation:

The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped

Answer:

B

Step-by-step explanation:

Answer:

1/4 < 5/4

Step-by-step explanation:

Since the numbers have the same denominator, we compare the numerators

1 < 5

so 1/4 < 5/4

Answer:

5/4

Step-by-step explanation:

Hello there!

Since each number is given in terms of 4ths, we can look at which has more 1/4 that comprises it.

5>1, so 5/4 is greater.

:)

Answer:

3 = 234

Step-by-step explanation:

156 ÷ 2 = 78 so then 156 + 78 = 234

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Answer:

A summary of the data is as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is 27

4. The median is or the 2nd quartile 34

5. The 3rd quartile is 33

The data is summarized in the attached box plot

Step-by-step explanation:

24, 25, 29, 30, 31, 31, 32, 34, 34

From the given data, we have the five values of a box and whisker plot as follows;

1. Maximum = 34

2. Minimum = 24

3. The 1st quartile is the [tex]\frac{9 + 1}{4} th[/tex] term or 27

4. The median (2nd quartile) is the [tex]\frac{9 + 1}{2} th[/tex] term or 34

5. The 3rd quartile is the [tex]\frac{3(9 + 1)}{4} th[/tex] term or 33

Hence the attached box plot summarizes the data.

Answer: C

Step-by-step explanation:

Answer:

the area is 146 mi^2 and the perimeter is 54

Step-by-step explanation:

Answer

perimeter = 44 mi

area = 146 mi²

Step by step

perimeter = 9 mi + 10 mi + 2 mi + 8 mi + 7 mi + 18 mi

perimeter = 44 mi

area = (2 × 10) + (7 × 18)

area = 20 + 126

area = 146 mi²

Answer:

19

Step-by-step explanation:

This is a geometric series.

15, 3, (3/5), ...

common ratio r = 3/15 = (1/5)

a_1 = 15

Formula for nth term:   a_n = a_1 * r^(n-1)

a_n  = 15 *(1/5)^(n - 1)

We want the sum of the first 7 terms.

S =  a_1 * ( r^n  - 1) / (r - 1)

here let n = 7

S = 15 *  ( (1/5)^7 - 1 ) / ( (1/5) - 1)

S = 15 * ( (1/5)^7 - 1)  / (-4/5)

S = 15 * (5/-4) * ( (1/5)^7 - 1)

S =  ( -75/4 )* (-0.9999872)

S = - (-18.74976)  =  18.749...

The sum is about   19

The sum of the first 7 terms of the following series is 18.74.

'A geometric sequence is a sequence where every term has a constant ratio to its preceding term. A geometric sequence with the first term a and the common ratio r and has a finite number of terms.'

According to the given problem,

Sequence = { 15, 3, [tex]\frac{3}{5}[/tex] }

Let the common ratio be r,

Let the first term of the sequence be a,

⇒ a × r = second term

⇒ 15 × r = 3

⇒ r = [tex]\frac{3}{15}[/tex]

⇒ r = [tex]\frac{1}{5}[/tex]

We know,

Sum of n number of terms in a geometric sequence can be represented by,

[tex]S_{n} = \frac{a(1-r^{7}) }{1-r}[/tex]

⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7} ) }{1-\frac{1}{5} }[/tex]

⇒ [tex]S_{7} = \frac{15(1-(\frac{1}{5})^{7}) }{\frac{4}{5} }[/tex]

⇒ [tex]S_{7}= \frac{5*15(1-(\frac{1}{5})^{7} ) }{4}[/tex]

⇒ [tex]S_{7}= \frac{125(0.999)}{4}[/tex]

⇒ [tex]S_{7}=\frac{74}{4}[/tex]

⇒ [tex]S_{7} = 18.74[/tex]

Hence, we can conclude, the sum of the first 7 terms of the geometric sequence is 18.74.

Learn more about geometric sequence here: https://brainly.com/question/11266123

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Answer:

140 cubic cm

Step-by-step explanation:

v=1/3 bh

b=1/2(3) (5) (4)=60

b=1/2(60)=30

v=1/3(60)7=420

420/3=140

hope this helps

Answer:

x = 1 and y = -3

Step-by-step explanation:

Subtract eqn 1 from eqn 2

11y = - 33

y = -3

Substituting y into eqn 2...

10x - 2(-3) = 16

10x +6 = 16

10x = 10

x = 1

The solution to the system of equations 10x + 9y = -17 and 10x - 2y = 16 is x = 1 and y = -3. This solution was found using the elimination method, which involved manipulating the equations to eliminate one variable and then solving for the other.

The question is related to the system of linear equations. A set of linear equations with the same variables is known as a system of equations. Here we have two equations; 10x + 9y = -17 and 10x - 2y = 16. The solution to this system of equations is the ordered pair (x, y) that satisfies both equations. We can find this by using the method of substitution or elimination.

Here's the solution using the elimination method:

So, the solution for the system of equations is x = 1 and y = -3.

https://brainly.com/question/33609849

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Step-by-step explanation:

Hello there!

Solve for x using the distruibutive property:

3(x+3)=12

3x+9=12

3x=3

x=1

:)

Answer:

x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

3x=3

x=1

Answer:

Because we are dealing with both feet and inches, and your question didn't state if it was to be rounded, I got 301.2 feet.

Step-by-step explanation:

(4/1.66)=(x/125)

solve for X

X≈301.2

Answer:

160

Step-by-step explanation:

one of the triangle faces:

4 × 6 = 24cm^2

theres 4 triangle faces so 24 × 4 = 96 cm^2

then u have to add on the square face which is 8×8 =64cm^2

total:

64 + 96 = 160cm^2

Answer:

A your welcome

Step-by-step explanation:

Answer is 1.6 pounds

.02 is not big enough to round up, so round down

Answer:

.

Step-by-step explanation:

3x - y = 17 .......A

10 × [x/5 + y/2] = 10 × 0

2x + 5y = 0 .......B

......A× 5 both 2 sides of equation

15x - 5y = 85 .....C

......B + ........C

2x + 15x = 0 + 85

17x = 85

x = 85/17

x = 5

put x value in ........A or .......B or ......C

you will receive y = -2

Answer:

84 students

Step-by-step explanation:

Let x be the number of adults.

Then the number of children is 2x, according to the condition,

and the number of students is the rest (315-x-2x) = (315-3x).

The "money" equation (the revenue equation) is

   12x + 5x(2x) + 7x(315-3x) = 2282.

   12x + 10x + 7x315 - 21x = 2282

   x = 2282 - 7x315 = 77  is the number of adults.

 77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.

Answer:

12

Step-by-step explanation:

sale price is (100-20)% of 15 = 80/100 * 15 = 12

Answer:

61 degrees

Step-by-step explanation:

a triangle measures 180 degrees

so your going to add 87 and 32 which gives us 119

since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees

Answer:

its 61 on edg

Step-by-step explanation:

i took the test and got a 93.2%

Answer:

225 adult tickets were sold

To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.

The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.

The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.

Answer:

27

Step-by-step explanation:

Answer:

(B+b)xh/2 = formula for the area of the trapeze

so (9+3)x3/2= 12x3/2 = 6x3 = 18

Answer:

It is the second one

Step-by-step explanation:

Hope it helps and rate my answer

;);)

Answer:

between 150 and 200

Step-by-step explanation:

corect on edge

Answer:

Given:

Sample size, n = 640

Since result showed that 99.2​% of them would erase all of their personal information online if they could, we have:

P' = 99.2% = 0.992

Let's take p = 50%

Our null and alternative hypothesis will be :

H0 : u = 0.5

H1 : u > 0.5

In this case we are to check for the test statistic.

[tex] \frac{P' - p}{\sqrt{p(1-p)/n}} [/tex]

[tex] = \frac{0.992 - 50}{\sqrt{50(1-50)/640}} [/tex]

= 24.9

Test statistic, Z = 24.893

In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.

Answer:

96

Step-by-step explanation:

Answer: You need to use the formula to solve this equation

step-by-step explanation:

Area of a triangle=           A = 1/2bh

Area of a rectangle=        A = lw

Surface area of triangular prism=       SA = bh + (s1 + s2 + s3)H

Use that formula to solve the problem.

I hope this helps

Answer:

The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.

Step-by-step explanation:

Let the price of the brush be b.

Let the price of the sketchbook be s.

Let the price of the paint set be p.

The brush was 1/4 as much as the sketchbook. This means that:

b = 1/4 * s = s/4_______________(1)

The sketchbook was 2/3 the cost of the paint set. This means that:

s = 2/3 * p

=> p = 3s/2 __________________(2)

Initially, he had $32.00 and after buying all the items, he had $4.50 left with him. This means that:

b + s + p + 4.50 = 32.00 ___________(3)

Put (1) and (2) in (3):

=> s/4 + s + 3s/2 + 4.50 = 32.00

Collect like terms and simplify:

11s/4 = 32.00 - 4.50 = 27.5

=> s = (27.5 * 4) / 11

s = $10

Put this back in (1) and (2):

b = 10 / 4 = $2.5

and

p = (3 * 10) / 2 = $15

The price of the sketchbook is $10, the price of the brush is $2.5 and the price of the paint set is $15.

Answer:

I want to delete my answer because the one already answered is correct.

Answer:

BA=180°

C=70°

180° - 70° = 110°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(7x² - 4x) unit²

Step-by-step explanation:

Area of rectangle = width × height

Width = 7x - 4

Height = x

Area = x ( 7x - 4)

Area = (7x² - 4x) unit²

Answer:

15 years ago

Step-by-step explanation:

So it was when Sam was x=3 years old and Bill was 3x=9 years old that Bill was 3 times as old as Sam. And since their ages are now 18 and 24, that was 15 years ago.

Answer:

The answer is 15 years

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

To determine what percentage of money she spent, you would divide the amount she spent by the total amount she had.  

$45 ÷ $50 = 0.9

You would then multiply the decimal times 100 to convert the decimal to a percentage.

0.9 · 100 = 90