Section 1 - Question 1
Stanley attempted to simplify the expression below.
4. (2.5x - 1.25) – 3x
His work, step by step, Is shown below.
Step 1: -4. {(2.5x + (-1.25)} – 32
Step 2: - 10x + (-5) - 3:0
Step 3:- 10.2 - 3x + (-5)
Step 4: - 13x - 5
In which step did he make his first error simplifying the expression?
A
Step 1
B
Step 2

Answer:

12.95

Step-by-step explanation:

1. 173.43

2. 325.54

3. 0.6794

4. 76.45

Unlock number: 12.95

Answer:

173.43

325.54

.6794

76.45

Step-by-step explanation:

Answer:

D. y=70x

Step-by-step explanation:

The cheetah was clocked running 70 miles per hour.

i.e. in 1 hour cheetah covered 70 miles

in 2 hours cheetah covered 140 miles

in 3 hours cheetah covered 210 miles

in general, in n hour cheetah covered 70n miles

If y denote the distance covered

and x denotes the time cheetah runs

Then, y=70x

Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:

D  y=70x

Answer:

(x - 4)(x - 2)

Step-by-step explanation:

x² - 6x + 8

x² - 2x - 4x + 8

x(x - 2) - 4(x - 2)

(x - 4)(x - 2)

Step-by-step explanation:

(x-4)(x-2)=0

x2-2x-4x+8=0

x2-6x+8=0

Answer:156 meters

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

5x + 27 = 45 + 3x

Subtract 3x from both sides

2x + 27 = 45

Subtract 27 from both sides

2x = 18

Divie both sides by 2

x = 9

Answer:

C

Step-by-step explanation:

sine uses opposite over hypotenuse

the opposite of x is 20 and the hypotenuse is 29

so the answer is 20/29

Answer:

x − y =  − 11

Step-by-step explanation:

B. [tex]6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](6 {x}^{3} + 3 {x}^{2} + 8) + (2 {x}^{2} - 9x + 10) \\ = 6 {x}^{3} + 3 {x}^{2} + 2 {x}^{2} - 9x + 8 + 10 \\ = 6 {x}^{3} + 5 {x}^{2} - 9x + 18[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

P = A - 0.2P

Step-by-step explanation:

A = P + Prt

Where,

A = Total amount in an account earning simple interest

P = principal

r = rate

t = time

A = P + Prt

In terms of Payment

P = A - Prt

Holly:

r = 4% = 0.04

t = 5 years

P = A - Prt

= A - (P * 0.04 * 5)

= A - 0.2P

P = A - 0.2P

Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

Answer:

70 cm

Step-by-step explanation:

42^2 + 56^2 = c^2

1764 + 3136 = c^2

4900 = c^2

70 = c

Answer:

Can you please send the length of the height if possible.

Step-by-step explanation:

Also the the formula to solve this is the exact opposite of Area= base times height divided by 2.

first step you need to do is multiply 4.5 by 2 to get 9. then you have to divide 9 by the height. Then you will get the value of the height. Hope you understood!

Answer: 3

Step-by-step explanation: 3

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3  r^3

Multiply each side by 3/4

3/4 *4500  = 3/4 *4/3  r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

Step-by-step explanation:

X/11+2=4

X+22/11=4 ( LCM of this denominators is 11)..

X+22=4×11

X+22=44

X=44-22

X=22 ANSWER

Consider the angles are = 60,2x,3x

As we know the sum of the interior angle of a triangle is 180

60+2x+3x= 180

5x= 120

x= 24°

Angles are 2x= 2(24)= 48°

and 3x= 72°

The measure of smaller angle is 48°

Answer:

2 is the correct answer because 14 ÷7 is 2

Answer:

the answer in your question is √245

15.6524 ≈ 15.7

Step-by-step explanation:

[tex]x = \sqrt{{14}^{2} + {7}^{2} } \: = 15.6524 = 15.7[/tex]

Answer:

The answer is

Step-by-step explanation:

This is from khan academy. so You need to watch a video on khan academy to get help.

Answer:

50

Step-by-step explanation:

Given:

32 + (7 − 2) ⋅ 4 − 6/3

Using the acronym PEMDAS

P = parenthesis

E = Exponential

M = Multiplication

D = Division

A = Addition

S = Subtraction

32 + (7 − 2) ⋅ 4 − 6/3

= 32 + (5) • 4 - 6/3

= 32 + 20 - 6/3

= 32 + 20 - 2

= 52 - 2

= 50

Therefore,

32 + (7 − 2) ⋅ 4 − 6/3 = 50

Answer:

1/8

Step-by-step explanation:

1/4 -> 2/8

3/8 - 2/8 = 1/8

Answer:

he has -1/8 left

Step-by-step explanation:

he used more paint then he had if thats possible

Answer:

D

Step-by-step explanation:

for example point (2,0) is one of the solutions.

=> x + 2y <4

2+ 2(0) = 2 => 2< 4 (true)

=> 3x – y > 2

3(2)-0= 6 => 6>2 (true)

so, the option D is the correct one

The solution to the following system of inequalities is option D.

There exist two inequalities drawn on a graph.

x + 2y ≤ 4 .............(1)

3x - y ≤ 2 .............(2)

Here solution set of the inequality (1) will be described by the shaded area below the solid line (in blue) characterized by "x + 2y = 4".

⇒ x + 2y < 4

⇒ x + 2y = 4

⇒ 2+ 2(0) = 2

⇒ 2< 4 (true)

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will designate the shaded area on the left of the solid red line characterized by "3x - y ≤ 2".

⇒ 3x – y > 2

⇒ 3(2)-0= 6

⇒ 6>2 (true)

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

The solution area to these inequalities will be the common area shaded in green.

Therefore, the correct answer is option D.

To learn more about system of inequalities

https://brainly.com/question/17085147

#SPJ2

Answer:

x > - 8

Step-by-step explanation:

x + 5 > -3

x > - 8

Answer:

[tex]x=60^{\circ}[/tex]

Step-by-step explanation:

The angle formed by [tex]48+x[/tex] and the angle marked as [tex]72^{\circ}[/tex] are co-interior angles and therefore must be supplementary (add up to 180 degrees).

Therefore, we have:

[tex]48+x+72=180,\\x+120=180,\\x=\boxed{60^{\circ}}[/tex]

Answer:

12x + 300 = 450

Step-by-step explanation:

Equation:

Answer:

21cm

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

12/9 = 1.333333

1 : 1.3333333

length  of model sheep = 28 / 1.333333 = 21cm

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

Answer:

[tex]y = - 2 \\ x = - 2[/tex]

Step-by-step explanation:

[tex] - 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2[/tex]

Now you can write the 1st equation like this.

[tex] - 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3[/tex]

Now simply Solve the 3rd equation

[tex] - 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2[/tex]

Now replace y as 2 in the 2nd equation like this

[tex]y = x \\ - 2 = - 2[/tex]

Now let's check whether the answer correct or wrong

[tex] - 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16[/tex]

Yes, the answer is correct

hope this helps you !!

Answer:

35 because i had this problem before and the answer was 35 cuz yeah

Answer:

The mass of cocoa in chocolate candy is 3 g.

Step-by-step explanation:

30gr chocolate candy, mark on its packaging that it contains 10% cocoa, how many grams of cocoa does this represent?

mass of chocolate candy = 30 g

cocoa contains = 10 %

Now the mass of cocoa = 10 % of 30 g = 0.1 x 30 = 3 g

Mass of cocoa in the candy is 3 g.