Calvin evaluated Negative two-thirds times 5 and one-sixth using the steps below. Step 1: Negative two-thirds time (5 + one-sixth) Step 2: (Negative two-thirds + 5) times (Negative two-thirds + one-sixth) Step 3: 4 and one-third times negative one-half Step 4: Negative 2 and one-sixth Which describes Calvin’s error? In step 1, he incorrectly broke up 5 and one-sixth. In step 2, he distributed the Negative two-thirds instead of the 5. In step 2, he confused the multiplication and addition signs. In step 3, he computed the addition and multiplication incorrectly.

Answer:

1) 0

2) -1

Step-by-step explanation:

x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on

Answer:

1364

Step-by-step explanation:

use the calculator

Answer:

1) 5.9

2) 8.1

3) 54

Step-by-step explanation:

A is opposite, so we have sine 36=a/10

sine 36(10)=a

a=5.9

B is adjacent, so we have cosine 36=b/10

cosine 36(20)=b

b=8.1

Angles of a triangle add to 180

we have a angle of 36 and a right angle which is 90

36+90=126

180-126=54

Answer:

75 degrees Celsius

Step-by-step explanation:

-114 - -39 = -75

Answer:

see below

Step-by-step explanation:

90/7  ÷ 1 3/4

Change to an improper fraction

90/7 ÷ (4*1+3)/4

90/7 ÷7/4

Copy dot flip

90/7 * 4/7

360 /49

The exact answer is 7 17/49

To estimate I would round 49 to 50 and 360 to 350

350/50 is approximately 7 and since I rounded the numerator down and the denominator up,  the answer would be a little higher

The number of adult tickets sold was  30 tickets

The first step is to write out the parameters given in the question;

Adult ticket sold at the concert is at the price of $8

Student tickets sold cost $5

A total of 70 tickets were sold at $440

Therefore the number of adult tickets sold can be calculated as follows;

= 8(5)

= 40

70-40

= 30

Hence the number of adult tickets sold is 30 tickets

Link; https://brainly.com/question/16973073

Answer:

True

Step-by-step explanation:

Yes! All integers "are" rational numbers. They can be expressed in the form of p/q.

Hope this helps :D

Don't hesitate asking anything regarding this.

Answer:

Yes

Step-by-step explanation:

Rational numbers are numbers that can be written as a fraction.

Integers are 1 2 3 4 5 and even -5 -4 -3 -2 -1, they can all be written as fractions.

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

Hope this helps.

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

9.72

Step-by-step explanation:

53.43/11 = 4.86

4.86*1 = 9.72

Answer:

2 pens will weigh about 9.7 grams.

Step-by-step explanation:

1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)

2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

Amrita's number was 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

We can write an expression from the given statement.

{ (2x + 9) ÷ 3 } - 1 = x

Solve for x.

{ (2x + 9) ÷ 3 } - 1 = x

(2x + 9)/3 - 1 = x

2x + 9 - 3 = 3x

Add 3 on both sides.

2x + 9 =  3x + 3

Subtract 9 on both sides.

2x = 3x + 3 - 9

2x = 3x - 6

6 = 3x - 2x

x = 6

We can cross-check.

{(2 x 6 + 9) ÷ 3} - 1 = 6

{(12 + 9) ÷ 3} - 1 = 6

7 - 1 = 6

6 = 6

Thus,

The number was 6.

Learn more about expressions here:

https://brainly.com/question/3118662

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Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

Answer:

2x+3=9

2x=6

x=3

3w-1=14

3w=15

w=5

7y+2=30

7y=28

y=4

5x+20=35

5x=15

x=3

6c-12=48

6c=60

c=10

8m-4=20

8m=24

m=3

7w+13=90

7w=77

w=11

12p-18=30

12p=48

p=4

9w-5=67

9w=72

w=8

10a+40=100

10a=60

a=6

9x-24=84

9x=108

x=12

7w+1=1

7w=0

w=0

your welcome

Answer:

The answers will be listed below:

A.  [tex]x=3[/tex]

B.  [tex]w=5[/tex]

C.  [tex]y=4[/tex]

D.  [tex]x=3[/tex]

E. [tex]c=10[/tex]

F. [tex]m=3[/tex]

G.[tex]w=11[/tex]

H. [tex]p=4[/tex]

I.  [tex]w=8[/tex]

J. [tex]a=6[/tex]

K. [tex]x=12[/tex]

L.[tex]w=0[/tex]

I would show how to do it but it will take to long.

Here's for the last one

Hope this helps.

Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]

Step-by-step explanation:

a) This is a very trivial exercise.

[tex]x(t) = -4t^2 + 20t + 60[/tex]

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) [tex]x(t) = -4t^2 + 20t + 60[/tex]

R(x(t)) = 2(x(t))

[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]

Answer: y = -3/2x + 3

Step-by-step explanation:

The slope is -3/2 (down 3, right 2)

The slope goes before x in graph functions so it’s -3/2x

The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.

y = -3/2x + 3

Answer:

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Step-by-step explanation:

v=(  [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)

Step 1: Flip the equation.

1.047198hr2+2.094395r3=v

Step 2: Add -2.094395r^3 to both sides.

1.047198hr2=−2.094395r3+v

Step 3: Divide both sides by 1.047198r^2.

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Answer:

[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]

Step-by-step explanation:

Step 1 add -2/3Πr^3 to both sides

v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3

Step 2 divide both sides by (Πr^2)/3

(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3

(3v - 2Πr^3)/Πr^2 = h

hope this helps....

Answer:

[tex]3(8x ^{2} + x + 2)[/tex]

factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots

Answer:

This cannot be simplified any further.

Step-by-step explanation:

m<TSU=85°

please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:

A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...

Answer:

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Answer:

36

Step-by-step explanation:

Here, we shall be splitting the total length using the ratio given.

The total ratio is 3 + 1 = 4

Since AB is the bigger length, the ratio 3 belongs to it.

Thus; 3/4 * 48 is the length of AB

= 3/4 * 48 = 3 * 12 = 36

Answer:

ABD

Step-by-step explanation:

Answer:

600 cm

Step-by-step explanation:

Surface Area of a box: SA=2lw+2lh+2hw

Since a box has equal side lengths, l = 10, w = 10, and h = 10.

SA = 2(10)(10) + 2(10)(10) + 2(10)(10)

SA = 600cm

Answer:

x = [tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

Answer:

X=67.5

Step-by-step explanation:

360-90=270

Then I do

270/4=67.5 to find the answer of each X

(4 is how many X is in the 270 degree)  

Answer:

-6 and 7

Step-by-step explanation:

-6 and 7 multiply to be -42.

When you add the two values: -6+7=1

Their sum is 1!

Hope this helps

Answer:

2, -1

Step-by-step explanation:

The 16 factors of -42 are

1, 2, 3, 6, 7, 14, 21, 42

-1, -2, -3, -6, -7, -14, -21, -42

The pair of factors that have a sum of 1 is

2, -1

2 + (-1)

=1

3, -2 also

7, -6 also.

Answer:

B. 17

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We have a and b, so:

8² + 15² = c²

c = √(8² + 15²)

c = 17

And we have our final answer!

Answer:

To find the length of BC we use Pythagoras theorem.

BC² = AB² + AC²

AB = 8 AC = 15

BC² = 8² + 15²

BC = √64 + 225

BC = √ 289

BC = 17

BC is 17

Hope this helps.

please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment..

Answer:

The scatter plot for the data is attached below.

Step-by-step explanation:

The data collected by Joise for the average daily high temperature for several months over the last year is as follows:

Month              X      Average Daily High Temperature, Y (°F)

January            1                                   50

February          2                                  56

March               3                                  67

May                  5                                  84

June                 6                                  89

July                   7                                  98

September       9                                  92

October           10                                  84

December       12                                  58

The scatter plot for the data is attached below.