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kobusy [5.1K]
2 years ago
7

Help plsssssssssssssssssssssss

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
5 0

Explanation:

5.

The initial cost is $65.42

25% of 65.42 is 16.355

Add 16.355 + 65.42 and the total cost is: $81.78

6.

The initial cost is $12.50

3.2% of 12.50 is 0.4

Add 0.4 + 12.50 and the total cost is: $12.90

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Select the order pair(s) that are solutions to this system of inequalities:
Usimov [2.4K]
Use desmos.com and graph those inequalities. It is pretty easy.
6 0
3 years ago
A number is divided by 3. That quotient is increased by 12. The result is 46. Find the number.
anzhelika [568]

Let the number be x.

x/3 + 12 = 46

Subtract 12 from both sides and you will get:

x/3 = 34

Multiply both sides by 3:

x = 102

3 0
3 years ago
In ∆PQR, ∠P = 90degrees , PQ= 12 cm, PR=16cm. Find ∠Q
siniylev [52]

Answer:

∠Q  = 53.13 degrees

Step-by-step explanation:

Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle

Hence using the notation

SOH CAH TOA

where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides

Considering  ∠Q and the given sides

PR=16cm is the opposite side,

PQ= 12 cm is the adjacent side hence we use TOA

Tan Q = 16/12 =

Q = Arc tan 16/12

= 53.13 degrees

5 0
3 years ago
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

6 0
3 years ago
Every time Martina orders Chinese food, she gets egg drop soup. So, she decides to learn how to make it herself. Her recipe call
MrRa [10]

Answer:

2 cartons

Step-by-step explanation:

Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.

Next, we need to find what we need to know, how many fluid ounces are in a cup? <em>There are 8 fluid ounces in 1 cup!</em>

Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).

<em>8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces</em>

So! Martina needs 64 fluid ounces of broth to be able to create her recipe!

<em>But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!</em>

<em>64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons</em>

Melina needs to buy 2 cartons of broth to be able to complete her recipe.

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

8 0
2 years ago
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