help of you can.

An equation is shown below:

4x + 2(x − 3) = 4x + 2x − 11

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answer:

Question 6: I know that (8 + 9) + 3 is equal to 8 + (9 + 3) because of the associative property states that you can change the grouping of addends in any order you want. The benefit to using this property is that you can first add numbers that you can combine more easily. For example, (743 + 51) + 49 can be written as 743 + (51 + 49) or 743 + 100. It is more straightforward to add the numbers that equal 100 first and then add the final number.

Question 3: -3(4x + 3) + 5x [Given]; -12x - 9 + 5x [Distributive Property]; -12x + 5x - 9 [Commutative Property]; -7x - 9 [Combine like-terms]. [tex]\frac{1}{2}[/tex] (6k + 10) + 5k [Given]; 3k + 5 + 5k [Distributive Property]; 3k + 5k + 5 [Commutative Property]; 8k + 5 [ Combine like-terms].

Question 4: 4(2 - 5) - 8 = 4 * (-3) - 8 = -12 - 8 = -20; 4 * 2 - 28 = 8 - 28 = -20.

Question 5: 15 * 3 - 2(2 * 3 + 6) = 45 - 2(6 + 6) = 45 - 2(12) = 45 - 24 = 21; 11 * 3 - 12 = 33 - 12 = 21.

Answer:

250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Step-by-step explanation:

Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:

100 x 0.6 + 0 x 0.92 = 60

90 x 0.6 + 10 x 0.92 = 63.2

80 x 0.6 + 20 x 0.92 = 66.4

70 x 0.6 + 30 x 0.92 = 69.6

65 x 0.6 + 35 x 0.92 = 71.2

63 x 0.6 + 37 x 0.92 = 71.84

62.5 x 0.6 + 37.5 x 0.92 = 72

400 x 0.625 = 250

Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.

Answer:

Step 1

Step-by-step explanation:

When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.

Answer:

=29/6

Step-by-step explanation:

4+3/6+2/6

=4+1/2+2/6

=9/2+2/6

=9/2+1/3

=29/6

Answer:

4 5/6 = 29/6 = 4.833333333

Step-by-step explanation:

4+3/6+2/6

Reduce the fraction 3/6 to lowest terms by extracting and canceling out 3.

4+1/2+2/6

Convert 4 to fraction 8/2

8/2+1/2+2/6

Since 8/2 and 1/2 have the same denominator, add them by adding their numerators.

8+1 / 2 + 2/6

Add 8 and 1 to get 9.

9/2 + 2/6

Reduce the fraction 2/6 to lowest terms by extracting and canceling out 2.

9/2 + 1/3

Least common multiple of 2 and 3 is 6. Convert 9/2 and 1/3 to fractions with denominator 6.

27/6 + 2/6

Since 27/6 and 2/6 have the same denominator, add them by adding their numerators.

27+2 / 6

Add 27 and 2 to get 29.

29/6  

Answer:

False

Step-by-step explanation:

The equation equals -1/2 - 4.25 which is -4.75, which is negative.

Hope that helps!

Answer:

12

ignore this i have to put words in to give u the answer

Answer:

-6 (this is easy math)

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

Answer:

Consider the trapezoid ABCD. In this trapezoid BC=a and AD=b.

Since triangles BOC and AOD are somilar, then

[tex] \dfrac{AO}{OC}=\dfrac{DO}{OB}=\dfrac{AD}{BC}=\dfrac{b}{a}. [\tex]

OC/AO = OB/DO = BC/AD=/ba

Triangles OAE and CAB are similar

EO/BC=b/(a+b)

EO=ab/(a+b)

again

OF=ba/(b+a)

and.

EF=2a/(a+b) is arequired length.

If Tabitha started with $50, then she would have $38 left.

Step-by-step explanation:

50 + 52 = 102.

102 - 40 = 62.

62 + 28 = 90.

90 - 58 = 38.

Answer:

38

Step-by-step explanation:

hi

Answer:

D & E

Step-by-step explanation:

Answer:

12.5x+10

Step-by-step explanation:

I'm assuming that you want to simplify this, because there is no equal sign.

If you want to simplify, first combine like terms.

First solve the first half of the equation: 20x-7.5x=12.5x

Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.

That's your answer: 12.5x+10

Answer:

x = 0.8

Step-by-step explanation:

Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.

First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.

Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.

Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is

x = 0.8

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)

Answer:

A. 6

Step-by-step explanation:

The equation should equal 20 so first subtract 2 from 20 which is 18 then divide 18 by 3 which is 6, 6 is your answer.

Opposite angles are equal

[tex]\\ \sf\longmapsto 3x+2=20[/tex]

[tex]\\ \sf\longmapsto 3x=20-2[/tex]

[tex]\\ \sf\longmapsto 3x=18[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{18}{3}[/tex]

[tex]\\ \sf\longmapsto x=6[/tex?

#The x side is same with 80° so

11x + 3 = 80°

11x = 80 - 3

11x = 77

x = 7

Answer:

PR = 4.9

Step-by-step explanation:

For given angle Q, RQ is the adjacent leg, and PR is the opposite leg.

We recall the meaning of the tangent ratio.

tan A = opp/adj

Here we have

tan Q = opp/adj

tan 51 deg = PR/4.0

PR = 4.0 * tan 51 deg = 4.9

Answer: PR = 4.9

Answer:

525 $

Step-by-step explanation:

Amount borrowed = $2500

Rate = 7%

Time = 3 years

therefor interest = $2500 X 7/100 X 3

     Hope it help You

Answer:

30y+hr+10rv+3h

Step-by-step explanation:

Hope this helps

Answer:

2...........???

Step-by-step explanation:

Answer:

a. A two-sample z-test for a difference in sample proportions

Step-by-step explanation:

We are told that there are two supermarkets in the research named X and Y.

That a random number of shoppers were selected in each supermarket.

Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.

Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.

In addition, the position of the product was different in both supermarkets.

Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.

The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.

A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.

Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.

Learn more about two sample z test  from

https://brainly.com/question/7191266

Divide both sides by  2

2.2      Subtract  6  from both sides

x ≤ -6

2.000 X  + 12.000  ≤  0

Answer: x ≤ -6

Answer:

1) B

Step-by-step explanation:

To get the volume of a cube, you multiply the length, width and height together. 4 x 7 x 8 = 224. 8 × 5 × 6 = 240. This means that chocolate box B has the larger volume.

Answer:

It is 3.5 cm long

Step-by-step explanation:

1 cm = 10mm

So divide 35 by 10

Answer:

y=x+11

the slope is 2/2 or 1/1, which equals 1. Your y-int is 11.

Answer:

8ile 6 yı çarp sonucu 800 ile topla 48+800= 848

Answer:

14/37

Step-by-step explanation:

14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 14 and 37 is 1

Divide both the numerator and denominator by the GCD

14 ÷ 1

37 ÷ 1

Reduced fraction:

14/37

Therefore, 14/37 simplified to lowest terms is 14/37.

Answer:

314.16 in²

Step-by-step explanation:

Answer:

[tex]A[/tex] ≈ [tex]314.16[/tex]

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A = \pi (10)^2[/tex]

[tex]A = \pi (100)[/tex]

[tex]A[/tex] ≈ [tex]314.16[/tex]

Step-by-step explanation:

It's must be -3 ...............