Emma's backpack has a mass of 6523 grams. The total mass of her backpack and Benjamin's backpack together is 9009 grams. What is the mass of Benjamin's backpack?​

Answer:

3, 15

Step-by-step explanation:

1/10 of a unit also just means dividing by 10. 1/2 is just dividing by 2. Hope this helped!

Answer:

1/10= 3

1/2=15

Step-by-step explanation:

If the whole unit is 30, then one tenth of it would be three (3x10=30) and one half of it would be 15 (2x15=30)

Answer:

1. 4.3x10^-7

2. the picture is cut off

Answer:

The answer would be C.

Step-by-step explanation:

5 * 6 = 30

3(10) * 1 = 30

Hence, your answer would be C.

Answer:

c = 10

Step-by-step explanation:

Answer:

2. I assume you're working on 1 so I skipped it. 2 would be 16000 yearly. 300 a week would equal 15,000 a year so its less

There are 52 weeks in a year which is how I got that number^

3. With the job he has he gets 21,548.8 per year(11.20 × 37 = 414.4 x 52 = 21,548.8). With the advertised job he would would get 21,150 yearly. 21000 + 5% of 3000 which would be his commission. so stick with his current job

4. (£9.40 x 35 hours = £329) (£329 x 52 weeks = £17,108). (3 extra hours per week x 52 weeks = £156) (£17,108 + £156 = £17,264) That is her total

Step-by-step explanation:

Using Trigonometry,

tan33° = Opposite/Adjacent = GF/DF.

Therefore GF = DF * tan33°

= 235tan33° = 152.6.

Angle GEF = Angle EDG + Angle DGE

= 33° + 34° = 67°. (Exterior Angle Theorem)

Using Trigonometry,

sin67° = Opposite/Hypotenuse = GF/EF.

Therefore EF = GF / sin67°

= 152.6 / sin67° = 165.8.

Hence the answer is the 1st option.

Answer:

the answer is A. GF =152.6 and EG=165.8

GF= 235*(tan(33))

EG= 152.6/(sin(67))

Answer:

Multiply the second equation by 2

Solution: [tex](-\frac{45}{11},\frac{29}{11})[/tex]

Step-by-step explanation:

1) In order to use the elimination method to solve systems of equations, you must first multiply one or both of the equations so that the coefficients of a pair of terms with matching variables share the same number, but have opposite signs.

In this case, the y terms must fit that requirement. The y term in the first equation is 2y and the one in the second equation is -y. They already have opposite signs, one positive and other negative, so we just need -y to be -2y. So, in order to do that, multiply by 2.

2) After multiplying the whole second equation by 2, you will get [tex]8x - 2y = -38[/tex]. Now, add the the two equations together, eliminate the y terms, and isolate x to find its value.

3) Then, substitute that x value back into one of the equations to receive the y-value.

To better explain these steps, I attached pictures below.

Answer:

equation: 3.5x=31.5

number of hours: 9

Step-by-step explanation:

31.5/3.5=9

Therefore,

x=9, x=number of hours, number of hours=9

Answer:

27

Step-by-step explanation:

Christina collected 27 cans.

27 cans plus Zachary's 54 = 81.

Hope this helps!

Plz mark Brainliest!

Answer:

This is by far the easiest question ever...Can you actually read and put effort into it before looking up all your answers next time? It literally says there are 16 CATS and 14 DOGS in a SHELTER. Its not A, because it did not mention rabbits. Its not C because it did not mention too much about cats, and it said dogs and cats not cats and cats. And its not D because we aint talking about a neighborhood. So..it is B. Easy, peasy, lemon squeezy!

Answer:

Step-by-step explanation:

Transform System A to system B

option c

Transform System B to system C

option b

2x - 4y = -10          ---------A1

-8x + 7y = 22        ----------A2

A1 * 4   --------> 8x - 16y = - 40

A2        --------> -8x + 7y = 22       {Add }

                         -9y       = -18      -------------B2

B2 ÷ (-9)      y = 2

Answer:

X=0

Step-by-step explanation:

[tex]8(1 \times 5x) + 5 = 13 + 5x \\ 8 + 40x + 5 = 13 + 5x \\ 40x + 13 = 13 + 5x \\ 40x - 5x = 13 - 13 \\ 35x = 0 \\ x = 35 \times 0 \\ x = 0[/tex]

The solution to the equation is x = 0.

Here, we have,

Let's solve the equation step by step:

Distribute the 8 to the terms inside the parentheses:

8 + 40x + 5 = 13 + 5x

Combine like terms on both sides of the equation:

40x + 13 = 5x + 13

Subtract 5x from both sides to isolate the variable terms on one side:

40x - 5x + 13 = 5x - 5x + 13

Simplifying:

35x + 13 = 13

Subtract 13 from both sides to isolate the variable term:

35x + 13 - 13 = 13 - 13

Simplifying:

35x = 0

Divide both sides of the equation by 35 to solve for x:

35x/35 = 0/35

Simplifying:

x = 0

Therefore, the solution to the equation is x = 0.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ6

Answer:

+ 38,000

Step-by-step explanation:

Given that:

Altitude of airplane = 38,000

The altitude of an object such as airplane in this scenario refers to the height of the airplane above sea level. The sea level is represented as a zero point (mid level) such that distance below are negative and those above are positive.

Hence, at an altitude of 38000 feets, altitude of airplane can be represented as +38,000 feets.

Answer:

See Explanation

Step-by-step explanation:

See comment for correct presentation of the question

Given

[tex]Expression = 40\% * 75[/tex]

[tex]Priya = \frac{2}{5} * 75[/tex]

Required

Is Priya correct?

We start by simplifying the expression.

[tex]Expression = 40\% * 75[/tex]

Express 40% as fraction

[tex]Expression = \frac{40}{100} * 75[/tex]

Simplify fraction: Divide numerator and denominator by 20

[tex]Expression = \frac{40/20}{100/20} * 75[/tex]

[tex]Expression = \frac{2}{5} * 75[/tex]

By comparing:

[tex]Expression = \frac{2}{5} * 75[/tex]

and

[tex]Priya = \frac{2}{5} * 75[/tex]

We can conclude that Priya is correct because:

[tex]40\% = \frac{2}{5}[/tex]

Given:

Total forest area = 52000 acres

Area of old growth trees in the forest = 0.4%

To find:

The area of old growth trees.

Solution:

We have,

Total forest area = 52000 acres

Area of old growth trees in the forest = 0.4%

Area of old growth trees is

[tex]Area=0.4\% \text{ of total forest area}[/tex]

[tex]Area=\dfrac{0.4}{100}\times 52000[/tex]

[tex]Area=0.4\times 520[/tex]

[tex]Area=208[/tex]

Therefore, the area of old growth trees is 208 acres.

Answer:$77.94

Step-by-step explanation:

Answer:

Step-by-step explanation:

3-1

Answer:

10/3

Step-by-step explanation:

hope that helps

Answer:

The second one

Answer: The second one i think

Step-by-step explanation:

Answer:

6*12=72

6*7=42

Step-by-step explanation:

Answer:72 and 42 bestie:3!!

Step-by-step explanation:

yw :)

Answer:

x = 55°

Step-by-step explanation:

gcgjcgjcgcjgcjgjgccgjgcjcjgjgcjgcgjcgjc

Answer:

C, D

Step-by-step explanation:

Step 1:  (3^2)^3 * 3^6 / 3^4

Step 2: (9)^3 * 3^6 / 3^4

Step 3: 729 * 3^6 / 3^4

Step 5: 729 * 729 / 3^4

Step 6: 531441 / 3^4

Step 7: 531441 / 81

Step 8: 6561

A = 27

B = 2187

C = 6561

D = 6561

E = 2187

Answer:

(SOMEONE HAS DELETED MY QUESTION SO I AM REPOSTING)

Step-by-step explanation:

Look at the image below!

Hope it helped! :)

Answer:

5(9k+4)

45k+20

Step-by-step explanation:

You could add all the sides together or use distributive property and multiply the one side length by 5

Answer:

angle 1 = angle 3

= 180°-136°

=44°

= angle 3

Answer:

pls give me brainliest

Step-by-step explanation:

0.83333333333

Answer:

5/6

Step-by-step explanation: