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Answer:

Step-by-step explanation:

(3x+5)+75+x=180⁰

3x+5+75+x=180

4x=180-80=100

x=100/4=25⁰

Answer:

8n-4n +(6x2)-6-8n

24n+8 - 20n -(2n x 4n)-2

Step-by-step explanation:

#1

Take -8n+5 and 4n+1

#2

Take -2n+4 and -2n+2

#1

[tex]\\ \rm\rightarrowtail x+1=9[/tex]

[tex]\\ \rm\rightarrowtail x=9-1[/tex]

[tex]\\ \rm\rightarrowtail x=8[/tex]

#2

[tex]\\ \rm\rightarrowtail 8+1=9[/tex]

Hence verified

[tex]x + 1 = 9[/tex]

[tex]x = 9 - 1[/tex]

[tex]x = 8[/tex]

[tex]8 + 1 = 9[/tex]

[tex]9 = 9[/tex]

Hence, Verified!

The scale factor of the dilation can either be increased or decreased or enlarged or reduced but for the given parameters, the scale factor of the dilation is; 1.5

In dilation, the figure or image could be either enlarged or reduced. Now, we are told that OB' = 5cm and it was dilated to BB' which is 7.5 cm.

We can see that the length increased from 5 cm to 7.5cm. Thus, we can find the scale factor of dilation from;

Scale Factor = BB'/OB' = 7.5/5

Scale Factor = 1.5

Read more about scale factor at: https://brainly.com/question/10253650

Answer:

24/35

Step-by-step explanation:

Answer:

2 times a number, plus 1, plus 2 times a number, is equal to 4x + 2.

The way they factored ↓

2 x 2 = 4

4x = 4 times a number or itself multiple times

4 + 2 is the same as a number times 1 equals 2.

If that's the case, x = 2.

The residual is the difference between the observed etching rate and the predicted etching rate

The residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

The least squares regression equation for predicting the etching rate from the room temperature is given as:

[tex]\hat y = 2 +\dfrac{1}{5} x[/tex]

When the room temperature is 25 degrees Celsius, the regression equation becomes

[tex]\hat y = 2 +\dfrac{1}{5} *25[/tex]

Evaluate the product

[tex]\hat y = 2 +5[/tex]

Evaluate the sum

[tex]\hat y = 7[/tex] --- this represents the predicted etching rate

The residual is calculated as:

Residual = Observed - Predicted

From the question, the observed etching rate is [tex]5\dfrac{\mu\text{m}}{\text{min}}[/tex]

So, the residual equation becomes

[tex]r = 5\dfrac{\mu\text{m}}{\text{min}} - 7\dfrac{\mu\text{m}}{\text{min}}[/tex]

Evaluate the difference

[tex]r = - 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

Hence, the residual of a room temperature of 25 degrees Celsius is [tex]- 2\dfrac{\mu\text{m}}{\text{min}}[/tex]

Read more about residuals at:

https://brainly.com/question/2732316

Step-by-step explanation:

she walked 5 2/3 miles in 2 2/3 hours.

so, the unit rate (speed) is 5 2/3 miles / 2 2/3 hours.

for the regular miles/hour speed we need to this back to x miles/ 1 hour.

we start by creating full fractions :

17/3 miles / 8/3 hours = 17/3 × 3/8 miles/hour =

(17×3)/(3×8) = 17/8 = 2 1/8 miles/hour

and for hours/mile we need to flip this upside-down:

8/3 / 17/3 = 8/3 × 3/17 = 8/17 hours/mile

Answer:

D. 18 ÷ 2 = 9

Step-by-step explanation:

The equation matches the equation 18 ÷ 9 = 2

The other equations do not match the previous equations because the previous three equations didn't have a 36 or the number six

I hope this helps!

Answer:

d 18÷2=9

Step-by-step explanation:

The answer is d because the fact family contains 2,9and18.

2×9=18, 18÷9=2and 9×2=18 are already solved. so all you need to do is to study the question and the answer very well.

To find the answer you need to look at the numbers in the question carefully an look for it in the answer.

37 * 9 = 333

333 + 555 = 888

888/9 = 98.666666666666666666666666666667

Hope that helps!

Answer:

98.67

Step-by-step explanation:

Step 1 :

37 x 9 = 333

Step 2 :

333 + 555 = 888

Step 3 :

888 / 9 = 98.67

Since it varies directly as q and partly inversely as q^2 it is represented has this below

p = aq + b/q^2

The constants of proportionality here are a and b

11 = 2a + b/4 ----- i x 5

25.16 = 5a + b/25 ------ ii x 2

Multiply equation i by 5 and equation ii by 2

55 = 10a + 5b/4 ----- iii

50.32 = 10a + 2b/25 ----- iv

Subtract equation iv from equation iii

b = 4

Put the value of b in equation iv

50.32 = 10a + 8/25

Multiply through by 25

1258 = 250a + 8

a = 5

p =5q + 4/q^2

Therefore using this equation put into the equation the value of q which is 7

p = 5(7) + 4/(7)^2

p = 35 +4/49

p = 35.082

hope this helped.

Answer:

Please tell me the total of students?

Step-by-step explanation:

Answer:

70% of the people at the carnival are students.

Step-by-step explanation:

Since the total is 550:

To find the percentage, we need to divide the amount of students by the total:

385/550=0.7

Then multiply the quotient by 100 and you have the percentage!

0.7*100=70

Answer:

y = -12

Step-by-step explanation:

any equation with only an x or y value present will either be a vertical or horizontal line. Because the y axis is vertical, a line that is present on y=-12 will sit on y=-12 forever, and therefore be a horizontal line

Answer:

[tex]\displaystyle y = -12[/tex]

Step-by-step explanation:

If any quantity is set equivalent to y, then it is a horisontal line. In other wourds, it is considered a zero rate of change [slope].

I am joyous to assist you at any time.

Total layers=6

Total volume:-

Answer:

D. 7n = 28

Step-by-step explanation:

Let's substitute 4 for n in each equation to check if it the resulting equation is correct:

[tex]6+n=24\\ 6+4=24\\ 10\neq 24\rightarrow \text{Incorrect!}[/tex]

[tex]5n=54\\5(4)=54\\20\neq54\rightarrow\text{Incorrect!}[/tex]

[tex]12-n=16\\12-4=16\\8\neq16\rightarrow\text{Incorrect!}[/tex]

[tex]7n=28\\7(4)=28\\28=28\rightarrow\text{Correct!}[/tex]

Therefore the answer is D

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

1% of 900: 9

9 * 4 = 36

Answer:

$4000 Is the Schrader family monthly budget

Step-by-step explanation:

Take $600 and DIVIDE it by .15 to get $4000

Answer:

First choice

Step-by-step explanation:

He must ride 60 - 12 miles during the 6 days

Every day he rides x miles, 6 days, 6x miles

so 60 - 12 = 6x

First choice

Answer:

They had 7,618.8 subscribers last year.

Let me know if this helped :)

Step-by-step explanation:

We need to find 40% of 12,698

To do that, we need to multiply 12,698 by the decimal form of 40%.

12,698*0.40=5,079.2

Then, we need to subtract 5,079.2 from the amount of subscribers we had this year.

12,698-5,079.2= 7,618.8

Answer:

See below for answers

Step-by-step explanation:

Problem 1

[tex]\frac{1}{sin\theta}=2cos\theta\: ; \: 0\leq\theta < 2\pi\\\\1=2sin\theta cos\theta\\\\1=sin2\theta\\\\\frac{\pi}{2}+2\pi n=2\theta\\ \\\frac{\pi}{4}+\pi n=\theta\\ \\\theta=\bigr\{\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\bigr\}[/tex]

Therefore, the second option is correct.

Problem 2

[tex]cos(2x)+1=sin(x)+2\:;\: 0\leq x < 2\pi\\\\1-2sin^2x+1=sin(x)+2\\\\-2sin^2x=sin(x)\\\\0=2sin^2x+sinx\\\\0=sinx(2sinx+1)[/tex]

[tex]0=sinx\\\\x=\pi n\\\\x=0,\pi[/tex]

[tex]0=2sinx+1\\\\-1=2sinx\\\\-\frac{1}{2}=sinx\\ \\x=\frac{7\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\\\x=\frac{7\pi}{6},\frac{11\pi}{6}[/tex]

Therefore, the solution set is [tex]x=\bigr\{0,\pi,\frac{7\pi}{6},\frac{11\pi}{6}\bigr\}[/tex], making the second option correct.

Problem 3

[tex]2cos^2x=-cosx\: ;\: 0^\circ\leq x < 360^\circ\\\\2cos^2x+cosx=0\\\\cosx(2cosx+1)=0[/tex]

[tex]cosx=0\\\\x=\frac{\pi}{2}+\pi n\\ \\x=90^\circ+180n^\circ\\\\x=90^\circ,270^\circ[/tex]

[tex]2cosx+1=0\\\\2cosx=-1\\\\cosx=-\frac{1}{2}\\\\x=\frac{2\pi}{3}+2\pi n,\frac{4\pi}{3}+2\pi n\\ \\x=120^\circ+360n^\circ,240^\circ+360n^\circ\\\\x=120^\circ,240^\circ[/tex]

Therefore, the solution set is [tex]x=\bigr\{90^\circ,120^\circ,240^\circ,270^\circ\bigr\}[/tex], making the fourth option correct

Answer:

2.129

Step-by-step explanation:

So, 3.157 - ______ = 1.028

Add the blank to the other side:

3.157 = 1.028 + ______

Now subtract the 1.028

3.157 - 1.028 = ______

3.157 - 1.028 = 2.129

Nice handwriting, if that's yours.

Answer:

2.129

Step-by-step explanation:

Answer:

= 240ml purple dye

Step-by-step explanation:

150ml red dye + 175ml blue dye = 325ml purple dye

            325ml - 85ml = 240ml purple dye

                       = 240ml purple dye

Answer:

0.4

Step-by-step explanation:

I can't draw a model, but I will give you an equation!

Two items are going to be divided amongst five people:

2/5=0.4

Each person will get 0.4 OR 4/10 of the two items.

Here's a math problem you could use:

Henry and his 4 friends want to eat some chocolate, but there's only two bars, Henry suggests that they just split it equally. If everyone get's an equal share, how much did each get? Everyone got 0.4 of the two chocolate bars.

Each person will get 0.4 OR 4/10 of the two items.

When the central tendency is the outliner is removed , the mean will increase.

Outliers are often used to measure central tendency and dispersion. They can give wrong impressions of a data set when a the set has more than one or one outliers.

An outlier is known to be the value that is said to be greater than or say less than most of the other values found in a data set.

see options below

A.They will not change.

B.The mode will change.

C.The mean will decrease.

D.The mean will increase.

Learn more about central tendency from

https://brainly.com/question/1288901

Answer:

61

Step-by-step explanation:

Answer:

A) 3/4

B) 1/4

C) 1/2 / 2/4

Step-by-step explanation: