solve for x : -40 = 5x - 35

Answer:

10:1:5

Step-by-step explanation:

Let's mark names as their first letter:

Amy=A

Bill=B

Cara=C

The ratio should be like this A:B:C

A=10*B

C=A/2 or A*1/2

If it is the simplest, then Bill have to score 1 point.

10*1=10 (Amy's score)

10/2=5 (Cara's score)

If it is Amy:Bill:Cara then the ratio of points score by them is 10:1:5

I hope that I helped :)

Answer:

  (-2, -2)

Step-by-step explanation:

A line of reflection is the perpendicular bisector of a point and its image. The given point is 3 units above the horizontal line of reflection. Its image will be 3 units below that line, at y = 1 -3 = -2.

The image coordinates are P'(-2, -2).

Answer:

there are 200 seats and 170 of them were filled

136+34=170

= 170 is 85% of ?

? = 200

The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively.

By analytical geometry we know that linear functions can be constructed by know the location of two distinct points on a Cartesian plane and the slope-intercept form is described below:

y - y₁ = m · (x - x₁)     (1)

Where:

According the table, the slope of the function is 1.5, as there a change in y of 3 for a change in x of 2. Lastly, we determine the line equation in slope-intercept form: m = 1.5, x₁ = 8, y₁ = 0

y = 1.5 · (x - 8)

And the y-intercept is found for x = 0:

y = 1.5 · (0 - 8)

y = -12

The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively. [tex]\blacksquare[/tex]

To learn more on linear functions, we kindly invite to check this verified question: https://brainly.com/question/21107621

what is the question, I'm confused?

Answer:

This is the best I can do because your question is un clear

Step-by-step explanation:

Answer:

165

Step-by-step explanation:

The symbol [tex]\sum[/tex]  is used to denote a sum of multiple terms.

The number below [tex]\sum[/tex] is the first term.

The number above [tex]\sum[/tex] is the last term.

Each term can be determined by using the given equation.

[tex]\begin{aligned}\displaystyle \sum_{n=3}^{8}5n & =5(3)+5(4)+5(5)+5(6)+5(7)+5(8)\\ & = 5(3+4+5+6+7+8)\\ & =5(33)\\ & = 165\end{aligned}[/tex]

So

[tex]\\ \rm\Rrightarrow \sum^8_{n=3}5n[/tex]

[tex]\\ \rm\Rrightarrow 5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]

[tex]\\ \rm\Rrightarrow 15+20+25+30+35+40[/tex]

[tex]\\ \rm\Rrightarrow 165[/tex]

The centre C of the given circlee = (2, 2) P(5, 4) is a point on the circle. Join P to C and extend it to meet the circle at the other extremity Q of the diameter. Now PQ is a diameter of the circle with C as its midpoint. The the coordinates of Q be (x, y) The coordinates of midpoint are (2, 2) = [ (x +5)/2, (y + 4)/2] =%3E (x + 5)/2 = 2; =%3E x = 4 — 5 = —1 =%3E (y + 4) = 2; =%3E y = 4 — 4 = 0 The extremities of the diameter are (—1, 0) and (5, 4). Diameter² = [5 —(—1)]² + [ 4 —0]² = 6² + 4² = 36 + 16 = 52 Diameter = 2√13 We could have easily found the radius from the centre and the given point on the circumference. The radius r² = (5 — 2)² + (4 — 2)² = 9 +4 = 13 Radius r = √13 And diameter = 2 r = 2 √13

Hope i helped

-lukelaws

Answer: 24°, 48°, 108°

Step-by-step explanation:

Answer:

-4p=13

Step-by-step explanation:

-3p-7p=13

-4p=13

p=-13/4

Answer:

Step-by-step explanation:

A vertex is where three or more edges come together. All of the vertices are shown in the picture, so you can count them. There are 4 vertices.

An edge is where plane faces meet in a line. All of the edges except one are shown as solid lines in the figure. (The remaining edge is shown as a dashed line.) You can count them. There are 6 edges.

Answer:

24 minutes

Step-by-step explanation:

90/45=2 x 12 = 24

Hope It Helps

to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})[/tex]

keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.

Answer: There were 7 children

Step-by-step explanation:

Let's use x to represent the children and y to represent the adults.

We know they combine to make a group of 25 people so x+y=25

We also know that they paid $201 and that there is $3 per child and $10 for adults so 3x+10y=201

I will solve by substitution.

Solve for y in the first equation

[tex]x+y=25\\x-x+y=25-x\\y=25-x[/tex]

Sub in our value for y into the other equation and solve for x

[tex]3x+10y=201\\3x+10(25-x)=201[/tex]

Step 1) Simplify

[tex]3x+250-10x=201\\-7x+250=201[/tex]

Step 2) Subtract 250 from both sides

[tex]-7x+250-250=201-250\\-7x=-49[/tex]

Step 3) Divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{-49}{-7}\\x=7[/tex]

Answer:

7 children.

Step-by-step explanation:

Let c = children

Let a = adults

1) We can set up two equations and solve them simultaneously using substitution or elimination method.

c + a = 25

3c + 10a = 201

2) I will use substitution. Make one of the variables the subject; then, substitute it into the other equation.

a = 25 - c

3c + 10(25 - c) = 201

3) Solve for c; then, substitute it into one of the equations.

3c + 250 - 10c = 201

-7c = 201 - 250

-7c = -49

c = -49/-7

c = 7

Let's substitute it into one of the equations.

7 + a = 25

a = 25 - 7

a = 18

Since the question only asked for the number of children, the answer is 7.

Answer:

119 and 120

Step-by-step explanation:

let the consecutive integers be n and n + 1 , then

(n + 1)² - n² = 239

n² + 2n + 1 - n² = 239

2n + 1 = 239 ( subtract 1 from both sides )

2n = 238 ( divide both sides by 2 )

n = 119

n + 1 = 119 + 1 = 120

the 2 integers are 119 and 120

as a check

120² - 119² = 14400 - 14161 = 239

Answer:

44 cubic meters

Step-by-step explanation

9 + 4 + 6 = 19

9/19 of the patio will be cement

4/19 of the patio will be gravel

6/19 of the patio will be stones

Work out the amount of gravel - 4/19 * 209 = 44 cubic meters

:)

VW = 6

HOPE IT HELPS...!!!

Answers:

Experimental probability =  5/12

Theoretical probability = 5/36

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

Explanation:

The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12

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

The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6

There are five ways to add to 6, out of 36 outcomes total.

This means the theoretical probability of getting a sum of 6 is 5/36

Since the solution cannot be negative hence the true solution to the expression is x = 10

Given the logarithmic expression

ln 20 + ln 5 = 2lnx

In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:

ln(20*5) = 2lnx
ln100 =2lnx
ln100 = lnx^2

x^2 =100

x = 10

Since the solution cannot be negative hence the true solution to the expression is x = 10

Learn more on log functions here: https://brainly.com/question/13473114

Answer:

3

Step-by-step explanation:

Because there are about 3,000 fish in the lake, 3,000 is 30 percent of 10,000. C or (3) gives the 6 percent each way around 30.

Answer:

The distance between 240 and 0 is 240

Step-by-step explanation:

You can find the distance between two values by getting it's absolute value.

You can setup the equation like this:

| 0-240 |

When you solve the equation you will find the absolute distance between 240 and 0.

Answer:

1359.54m^3

Step-by-step explanation:

The formula for the volume of a triangular prism is:

1/2([tex]b \times l )\times h[/tex]

b= base

l = length

h= height

Step 1: Plug the numbers into the formula

1/2(12.6*13)*16.6

Step 2: Simplify

163.8*16.6

1359.54

Step 3: Add units

The units used in the question were in meters, so the answer is also in meters.

Volume is always cubed, so it would be to the third power...1359.54m^3

If this answer helped you, I would greatly appreciate if you gave me brainliest :D.

Answer:

35%

Step-by-step explanation:

The required percentage of the mocha cupcakes that were sold that day is 85%.

Given that,
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mochas and 42 chocolate. What percent of the cupcakes sold that day were mocha is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Number of mocha cupcakes = 238
Number of chocolate cupcakes = 42
Total cupcakes = 238 + 42 = 280
Percentage of mocha sold = 238/280 = 0.85 or 85%

Thus,  the required percentage of the mocha cupcakes that were sold that day is 85%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

Answer:

9 and 1/3

Step-by-step explanation:

0.375 = 3/8

You can write the question as:

3.5/(3/8)

(7/2)/(3/8)

—> times to get denominator of 16

(56/16)/(6/16)

(56/16) x (16/6)

the 16 cancels out so we are left with:

56/6,

54/6 = 9

2/6 = 1/3

Therefore the answer is 9 + 1/3 = 9 and 1/3

Answer: 6

Step-by-step explanation:

Classmate: 56/100 × 75/1 =42

relative: 80/100 × 60/1 = 48

Difference is 6

Answer:

The Rectangular prism in the top-left corner is 11,760. The top-middle rectangular prism is 7,938. The top-right rectangular prism is 4,851. The shape that is orange and pink I don't know what it is. The triangular prism on the middle of the page is 11.781. The blue cylinder is 38,936. The green rectangular prism is 23,125. The "clear" rectangular prism on the bottom row is 31,668. The rectangular prism in the bottom right corner is 14,688. That is all, I'm almost 100 percent sure they are all right!

Answer:

4/9, 44.4%

Step-by-step explanation:

16 tiles are blue out of 36

16/36 = 4/9

4 ÷ 9 × 100 = 44.4%