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3 years ago

Simply 9+3(8-3(7-5))-4

Mathematics

1 answer:

EastWind [94]3 years ago

4 0

Answer:

Step-by-step explanation:

9+3(8-3(7-5))-4
9+3(8-3(2))-4
9+3(8-6)-4
9+3(2)-4
9+6-4
15-4
11

I first delt with simplifying the parentheses till step five. Then in five I just added 9+6 because it came before the -4. But PEMDAS is very important when doing these problems because it tell you the order

P (parentheses)
E (exponents)
M (multiply)
D (divide)
A (add)
S (subtract)
**the biggest thing is that with multipe and divide it depends what comes first. If you see divide before multipe in the problem just do it that way. It is the same way with add and subtract but The multiple/divide group ALWAYS comes BEFORE add/subtract

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30 pointss!HELP! Two students get into an argument about the correct answer.

Mamont248 [21]

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

$tan \theta = \frac{opposite side}{adjacentside} .$

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So $tan A = \frac{3}{4} .$

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So $tan C = \frac{4}{3} .$

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

7 0

3 years ago

I answered the rest of my questions but this one is confusing me

Gwar [14]

Answer:

the answer is 36ft by 48ft

Step-by-step explanation:

We first need to find the measurements of the green squares. Given the drawing is to scale we can say that each green square has equivalent measurements. Since there are 144 feet on each side of the original drawing, and 12 green squares on each side as well, then we need to divide 144 by 12 to find the measurements of one square. 144/12=12. the green squares are each 12ft by 12ft. to find the measurement of the jungle gym, we see how many green squares are on each side (there are 3 and 4) then multiply that number by 12. 4*12 I 48, and 3*12 is 36. Hence the measurements of 36ft by 48ft.

6 0

2 years ago

What is the greatest common factor of 15x^3y^2 and 20x^4y^4?

Vanyuwa [196]

<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? </h3>

First we have to find the factors of 15x³y²

15x³y² = 3 * 5x³y²

Then we have to find the factors of 20x⁴y⁴

20x⁴y⁴ = 2²x¹y² * 5x³y²

Now we have to find the common factors to both numbers.

The common factors are 5x³y²

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²

Hope this helps!

$\textit{\textbf{Spymore}}$

6 0

3 years ago

Using the Multiplication Property of -1

Papessa [141]

A. -(a+5)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(a+5) * -1 = a+5

B. -(-x+31)

Apply the distributive property:

-(-x+31) becomes (- -x +31) which simplifies to (x+31)

multiply that by -1 to get -x+31

C. -(4x+12)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(4x+12) * -1 = 4x+12

7 0

3 years ago

A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se

nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

First product details:

Unit volume = 10 cu ft

Weight of one unit = 50 lb

Second product details:

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = $x$

Let number of units of second product = $y$

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

$10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow 5x+4y = 2160...... (2)$

Multiplying equation (2) with 2 and subtracting equation (1) from it:

$8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}$

By equation (1):

$10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}$

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0

3 years ago