Ramsey's hamster weighs less than his gerbil. His gerbil weighs 2.04 ounces. Which of the
following could be the weight of Ramsey's hamster?
O A. 1.99 ounces
O B. 2.3 ounces
OC. 2.14 ounces
O D. 2.102 ounces
6

Answer:

2(x - 2)

Step-by-step explanation:

- 4(x + 1) + 6x ← distribute parenthesis by - 4

= - 4x - 4 + 6x ← collect like terms

= 2x - 4 ← factor out 2 from each term

= 2(x - 2)

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

Let's simplify this expression.

The first step is to use the distributive property, which states:-

[tex]\bigstar{\boxed{a(b+c)}[/tex]

Simplify:-

[tex]\bigstar{\boxed{-4(x+1)}[/tex]

[tex]\longmapsto\sf{-4x-4}[/tex]

Add 6x:-

[tex]\longmapsto\sf{-4x+6x-4}[/tex]

Combine Like Terms:-

[tex]\longmapsto\sf{2x-4}[/tex]

Now, we should write our answer in factored form, so we factor 2 out:-

[tex]\longmapsto\sf{2(x-2)}[/tex]

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

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

c 6

Step-by-step explanation:

since angles are equal then the sides can be equal

(AB÷PQ)=(AC÷PR)

(20÷5)=(24÷X)

4=24÷X

X=6

Answer:

150ft^2

Step-by-step explanation:

FINDING THE LENGTHS

50 = x + 5 + x + x + 5 + x

50 = 4x + 10

50 - 10 = 4x

40 = 4x

40/4 = x

10ft = x

AMOUNT OF FLOORING

area = l x b

= (10 + 5) x 10

= 15 x 10

= 150ft^2

Answer:

between 222 and 223 days

Step-by-step explanation:

This relation includes the point (0, 2).

A proportional relation must include the point (0, 0).

This is not proportional, but it may be linear.

Points: (0, 2), (2, 20)

y = mx + b

20 = (20 - 2)/(2 - 0) × 2 + b

20 = 18/2 × 2 + b

b = 2

y = 18x + 2

When 4000 people know, y = 4000.

y = 18x + 2

4000 = 18x + 2

3998 = 18x

x = 3998/18

x = 222.111...

Answer: between 222 and 223 days

Answer:

$1,350

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

⇒ Total interest earned = 1000 × 0.1 × 5 = $500

If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.

⇒ 70% of $500 = 0.7 × $500 = $350

Account balance = principal + interest earned after tax

                             = $1,000 + $350

                             = $1,350

well, it went up from 50 to 62, so it really went up by 12 folks.

if we take 50 to be the 100%, what is 12 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 50 & 100\\ 12& x \end{array} \implies \cfrac{50}{12}=\cfrac{100}{x}\implies \cfrac{25}{6}=\cfrac{100}{x} \\\\\\ 25x=600\implies x=\cfrac{600}{25}\implies x=24[/tex]

[tex]\huge\underline\mathtt\colorbox{cyan}{37✅✅✅}[/tex]

Step-by-step explanation:

Answer:

length = 44 ft.

Step-by-step explanation:

A = lw

[tex]880 = 20l\\[/tex]

Solving for l gives us l = 44 ft.

Answer:

There are 33 nuts in the bag, to 21 dried fruits.

Total number of dried fruits is 21, while the total number of nuts is 33.

Step-by-step explanation:

Answer:

x< -6 or x > 0 (C is correct for question 1.) x ≤  2  (C is correct for question 2)

Step-by-step explanation:

You have given me 2 questions:

| x + 3 | + 7 > 10

3x + 6 ≤ 12

Let's solve the first one:

| x + 3 | + 7 > 10

Before we start, the greater-than sign means that the point on the number line has to not be filled in.

| x + 3 | + 7 > 10        

**Along with this equation you need to do a negative one meaning you need to flip the sign to a less than one and make 10 and 7 negative.

| x + 3 | - 7 < -10

| x + 3 | + 7 > 10

**Notice that this one is the original one.

Subtract 7 both sides

| x + 3 | > 10 -7

Now do 10-7

| x + 3 | > 3

Now subtract 3 both sides

x > 0

The negative case:

| x + 3 | - 7 < -10

Add 7 both sides

| x + 3 | < -10 + 7

Do -10 + 7

| x + 3 | < -3

Subtract 3 both sides

x < -3-3

Solve -3-3

x < -6

Your inequalities:

x< -6 or x > 0

The or statement is for greater than and the "and" is for less than.

Answer Choice C is correct.

Next Question:

3x + 6 ≤ 12

**Before we do anything, we have a less than or equal sign**

The point will be filled on the number line.

This is a typical inequality two-step:

3x + 6 ≤ 12

Subtract 6 from both sides

3x ≤ 12-6

Do 12-6

3x ≤ 6

Now divide 6 by 3

x ≤  2  

Answer Choice C is correct.

The probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

For this case, the table given is:

Entries                          4-wheel drive        No 4-wheel drive        Total

Third Row Seats                  18                                12                        30

No Third Row Seats             7                                28                        35

Total                                     25                               40                        65

Let we take

A = event that a randomly selected car has no-4 wheel drive

B = event that a randomly selected car has third row seats

The total ways a car can be selected = 65 = n(S)

Total ways A can happen = n(A) = 40 (from the table).

Similarly, n(B) = 30

P(A) = n(A)/n(S) = 40/65

P(B) = n(B)/n(S) = 30/65

P(A∩B) = n(A∩B)/n(S) = 12/65

As by chain rule, we have:

P(A∩B) = P(A)P(B|A) = P(B)P(A|B)

We need P( A randomly selected car has three seats given that the selected car is with no 4-wheel drive)

which is symbolically P( B | A)

Thus, we use: P(A∩B) = P(A)P(B|A)

or

[tex]12/65 = (30/65)(P(B|A))\\\dfrac{12/65}{30/65} = P(B|A)\\\\P(B|A) = \dfrac{12}{30} = \dfrac{2}{5} = 0.4[/tex]

Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4

Learn more about probability here:

brainly.com/question/1210781

Answer:

b.  0.4

Step-by-step explanation:

took the test

Answer:

its b trust me i had that one (12,44)

Step-by-step explanation:

Answer:

234 mm^2

Step-by-step explanation:

These questions are tricky but to make them easier, try to break down the shape into smaller regular shapes and work them out.

I would divide this shape into 2 rectangles and one triangle

Area of small bottom rectangle: 4 x 11 = 44mm^2

Area of rectangle in the middle: 14 x 8 = 112mm^2

Area of triangle: 12 x 13/2 = 78mm^2

Add all the areas together = 44+112+78 = 234mm^2

Answer:

C

Step-by-step explanation:

Remark

The way to solve the problem is to figure out how many cubic feet would be present if the window was not there and then calculate the volume of the window and subtract it. That is the general method used to obtain the answer to the question you have asked.

Volume Original Shape

Each side of the figure is one side of a square.

So the volume of the square face is 6 by 6 or 6*6 = 36 (no window)

The window is 2*2 which is 4.

The volume of the original shape is 36 - 4 = 32

Volume new shape

Each side of the figure is 12 by 12 = 144    With no window

The size of the window is 4 by 4 =   16   With the window (Subtract)

The size of the modified figure is    128

Answer and discussion

The question is a bit ambiguous. I think the question means that the wall has gone from 32 to 128 cubic feet.  So you need Subtract to find the difference..

Answer: 128 - 32 = 96 which is C.

Step-by-step explanation:

area of triangles

1/2*9*8= 36

area of.rectangle

8*9= 72

36+72=108 square inches

Step-by-step explanation:

Consider this polynomial,

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

First, I do the AC memethod. To find my two numbers,

That is to find two numbers that multiplied will equal my leading coeffeicent, A times my constant, C

And that will also add to 2, my middle term.

So using that

[tex]8 \times - 3 = - 24[/tex]

So let find factors of-24:

Factors can be positve or negative

The factors of 24 are : 1,2,3,4,6 8,12,24.

So which one of these add up to 2.

[tex]6 + ( - 4) = 2[/tex]

and

[tex]6 \times - 4 = - 24[/tex]

So six and negative four is our numbers.

Now, let set up our binomials

Step 1: Rewrite the orginal equation by using 6x and -4x instead of 2x.

Disclaimer: The placement of these numbers doesn't matter.

So we have

[tex]8 {x}^{2} + 6x - 4x - 3[/tex]

Step 2: Group the first two terms and last two terms

[tex](8 {x}^{2} + 6x) + ( - 4x - 3)[/tex]

Factors the first group by finding the GCF.

x is the greatest common variable, and 2 is the gcf so we have

[tex]2x(4x + 3) + ( - 4x - 3)[/tex]

Next, factor the next group by -1.

[tex]2x(4x + 3) - 1(4x + 3)[/tex]

Combine the outside factors.

[tex](2x - 1)(4x + 3)[/tex]

So those are the factors.

The BAC of the female is an illustration of proportion

BAC is calculated using:

BAC = Alcohol consumed/(Body Weight * R)

The weight is given as:

Body weight = 140 lb

Convert to kg

Body weight = 63.5 kg

For female

R = 0.55

So, we have:

BAC = Alcohol/(63.5 * 0.55)

BAC = Alcohol/34.925

BAC = 0.029Alcohol

The weight or volume of the alcohol consumed is given.

So, we represent it with w.

BAC = 0.029w

Hence, the BAC after consuming the three drinks is 0.029w

We have:

BAC1 = 0.029w

Time (t) = 3 hours

The BAC after 3 hours is

BAC = BAC1 * (t - 0.015)

So, we have:

BAC = 0.029w * (3 - 0.015)

Evaluate the product

BAC = 0.087w

Hence, the BAC three hours after consuming the drinks is 0.087 w

Read more about BAC at:

https://brainly.com/question/1781657

[11]

Equation: 180° - 75°

Measure: 105°

      A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.

[12]

Equation: 90° - 40°

Measure: 50°

      The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.

Answer:

Assuming they bought the same shoes, $82.5

Step-by-step explanation:

80% of Original Shoe price = $82

Divide by 0.8 to find the original price.

82 / 0.8 = 102.5

102.5-20=82.5

Answer:

b

Step-by-step explanation:

because all the orher ones are wrong and not correct.

Answer:

64 cm^3

Step-by-step explanation:

V = lwh

V = 4 x 4 x 4

V = 64 cm^3

Hope this helps!

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{volume \: of \: square = {x}^{3} }[/tex]

[tex] \mathsf \pink{v = {4}^{3} }[/tex]

[tex] \mathsf \purple{v = {64cm}^{3} }[/tex]

Answer:

Scale factor = 3

Step-by-step explanation:

A - B = 1-3

3 - 1 = 2

A' - B' = 3-9

9 - 3 = 6

6 / 2 = 3

Answer: 1.56

Step-by-step explanation:

Add all the cost together, the subtract the ten dollars.

2.18 + 2.28+ 3.98 = 8.44

10.00 - 8.44 = 1.56

Volume:-

Answer:

4,333$

Step-by-step explanation:

There are 12 months in a year so we divide 52,000 by 12 and it equals 4,333 if you rounded it.

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]\ln e^4= 4\ln e = 4 \log_e e = 4 \times 1 = 4[/tex]

Answer:

found in a toys store and cost more than 50$

Step-by-step explanation:

it makes the most sense don't you think?