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The sum of three numbers is 56. If the second number is equal to the first diminished by 4, and the third number is 3
times the first. What are the numbers?
If x represents the first number, then which of the following equations could be used to solve the problem?
x = 3x-4
56=4x4
56=3x-4
56-5x4
a
OX
e here to search

Step-by-step explanation:

By Cosine rule, we have

s² = t² + u² - 2(t)(u)(cosS)

=> cosS = (t² + u² - s²)/2tu

=> cosS = (58² + 27² - 50²) / (2 * 58 * 27) = 0.5086.

Therefore S = cos^-1(0.5086) = 59.4° (1d.p.)

The measure of ∠S is 59.4°.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

ΔSTU:

s = 50 inches

t = 58 inches

u = 27 inches

Applying the cosines rule on ΔSTU.

s² = t² + u² - 2 x t x u x cos S

cos S = (t² + u² - s²) / 2tu

cos S = (58² + 27² - 50²) / (2 x 58  x 27)

cos S = (3364 + 729 - 2500) / 3132

cos S = 0.5086.

∠S = [tex]cos^{-1}[/tex](0.5086)

∠S = 59.4°

Thus,

∠s angle value is  59.4°.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

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Answer:

3/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

34 ounces were in the full bottle , The second time he poured about 7.48 ounces

Step-by-step explanation:

20 times 5 = 100 so,

6.8 times 5 = 34

PART 2

Diego poured out 20% wich is equal to 6.8 and if you subtract both pour's that he did you get 20.4. The you subtract that amount that he had already poured  from the total wich gives you 13.6 and 5% of 13.6 is 0.68. Add 0.68 and 6.8 to get 7.48

Answer:

i think it is 122 degrees, as the solution would be to subtract 58 from 180

Step-by-step explanation:

180-58=122

angle1 = x

angle2 = x - 58

given,

these are supplementary angles

Therefore,

(x) + (x - 58) = 180

x + x - 58 = 180

2x - 58 = 180

2x = 180 + 58

2x = 238

x = 238/2

x = 119

angle1 = 119

angle1 = 119angle2 = 61

Answer:

the second one.

top right graph.

Step-by-step explanation:

Given:

The equation is

[tex]\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}[/tex]

[tex]\left(\dfrac{5}{3}\right)^{-x}\left(\dfrac{5}{3}\right)^{2x}=\dfrac{5\times 5\times 5}{3\times 3\times 3}[/tex]      [tex][\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}][/tex]

[tex]\left(\dfrac{5}{3}\right)^{-x+2x}=\dfrac{5^3}{3^3}[/tex]          [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]\left(\dfrac{5}{3}\right)^{x}=\left(\dfrac{5}{3}\right)^{3}[/tex]

On comparing the exponents, we get

[tex]x=3[/tex]

Therefore, the value of x is 3.

Answer: b

Step-by-step explanation:

B because 10+1 is 11

Answer:

wow, it is.

1+2=3

2+3=5

3+4=7

4+5= 9

5+6= 11

6+7= 13

and so on.

Step-by-step explanation:

Answer:

F(x)>0 over the interval [tex](-\infty,-4)[/tex]

Step-by-step explanation:

If you pay close attention to the intervals given in the options, you can see that they are talking about the region to the left of either x=-3 or x=-4. The only statements that makes sense is that:

F(x)>0 over the interval [tex](-\infty,-4)[/tex]

When they say F(x)>0, they mean that the graph is above the x-axis and that will only happen when the x-values that are to the left of x=-4, therefore the answer would be:

F(x)>0 over the interval [tex](-\infty,-4)[/tex]

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

       = 100 + 480

       = 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

     = 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

Answer:

C: 108 Feet

Step-by-step explanation:

You just plug 3 in for t.

h(t) = -18(3)^2 + 18(3) + 216 = 0

-18(9) + 54 + 216 = 0

-162 + 54 + 216 = 0

-108 + 216 = 0

-108 + 216 = 108

So I believe I am correct.

Answer:

36

Step-by-step explanation:

75/2700=36

Answer:

10

Step-by-step explanation:

In triangle ACE, B and F are mid points of sides CA and CE respectively.

Therefore, BF is the mid segment of triangle ACE.

By Mid-segment formula:

AE =2BF

5x - 4 =2*23

5x - 4 = 46

5x = 46+4

5x = 50

x = 50/5

x = 10

Answer:

C. The lines are perpendicular

Step-by-step explanation:

GO GET GOOD GrADE

Answer:

N = 2

Step-by-step explanation:

n - 3 = -1         Original

n ( -3 + 3 ) = ( -1 + 3 )      Add 3 on both sides

n = 2                Simplify

Check:

2 - 3 = -1           Replace

- 1 = -1                Solve

Correct!

Answer:

8 rides

Step-by-step explanation:

20 + .50x = 24

-20             -20

.50x = 4

/.50    /.50

x = 8

Answer:

8

Step-by-step explanation:

If you have $24 and you buy a $20 ticket to get in, you are left with four dollars.

Since each ride is $0.50 and that is half a dollar, you can multiply four times two. This gives you eight.

Therefore, you can ride 8 rides :)

Answer: 5.33

Step-by-step explanation: 5 laps in 5/4 of an hour to find the final 1/3 divide 1/4 by 1/3 to find how long it will take him to run that which is 1/12 so just add to the 5/4 time he has already ran to get 16/3 or 5.33333

Answer:

D is not a function.

Step-by-step explanation:

The first option is a function because it makes up a straight line.  The second option is also a function because it is also known as y = -3/2x + 2 creating a slope function.  The third option is also a function because there is no more than one point for each x value.  The last option is not a function because the number 2 is going for 2 variables A and B and you can't have them with more than one so D is your answer.

Answer:

D is not a function.

Step-by-step explanation:

The first option is a function because it makes up a straight line.  The second option is also a function because it is also known as y = -3/2x + 2 creating a slope function.  The third option is also a function because there is no more than one point for each x value.  The last option is not a function because the number 2 is going for 2 variables A and B and you can't have them with more than one so D is your answer.

Answer:

the first one is correct

Step-by-step explanation:

brainliest plzzzz

Answer:

They are equal.

Step-by-step explanation:

If you simplify, you'll get -0.22222... for both fractions

Answer:

C. (f - g)(x) = 3ˣ - 2x + 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3ˣ + 10

g(x) = 2x - 4

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Answer:

y=15x+5.50

Step-by-step explanation:

the y intercept or initial fee is 5.50 as written in the problem and the slope is 15 and a key word for that is each. meaning that y=15x+5.50

Answer:

5 cups of sugar

Step-by-step explanation:

add

Answer:

15%

Step-by-step explanation:

45 - 30 = 15

Answer - 15%

Answer:

18.5 is your answer.

Step-by-step explanation:

Divide the area by 11.9 and you get 18.5

Answer:

X hope it helps