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Savatey [412]
3 years ago
15

I am trying to figure out how to write out and solve: The first number is 5 less than the second number. Four times the first nu

mber plus 5 times the second number is 74. find the numbers
Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0
OK, I will try my best to help you out, young lad. Just kidding, I am young too!
OK, so first you have to assign variables.  
Let's make the first number = x-5
the second number is =x
Now, set up an equation
4(x-5)+5(x)=74
Use the distributive property to simplify the equation.
4x-20+5x=74
simplify the problem to find x
9x-20=74
9x=94
x=10.4 or 94/9
Now, apply the answer..
We know that the second number, x = 10.4 ( or 94/9), so the larger number is...
94/9 - 5= 49/4 of 5.4
so the answers are
first number= 5.4 (fraction form- 49/4)
second number= 10.4 (94/9)


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The product of 3/4 and a number s is 3/5
vazorg [7]
Product= multiplication
s= a number
is= equal sign

3/4s= 3/5
divide both sides by 3/4

s= (3/5) / (3/4)
to divide fractions, multiply by the reciprocal/inverse of 3/4

s= 3/5 * 4/3
multiply numerators; multiply denominators

s= (3*4)/(5*3)
multiply within parentheses

s= 12/15
simplify by 3

s= 4/5


ANSWER: 4/5

Hope this helps!  :)  
7 0
3 years ago
(1 point) The intensity of light at a depth of x meters below the surface of a lake satisfies the differential equation dIdx=(−1
snow_tiger [21]

Answer:

0.573 m

Step-by-step explanation:

a. To find the depth, x, we first solve the differential equation to find the expression for I  

dI/dx = (-1.21)I

dI = (-1.21)Idx

dI/I = -1.21dx

Integrating both sides, we have

∫dI/I = ∫-1.21dx

㏑I = -1.21x + C

I = exp(-1.21x + C)

I = exp(-1.21x)exp(C) Let exp(C) = A

I =Aexp(-1.21x)

when x = 0, I = L. Substituting these into the equation, we have

L = Aexp(-1.21 × 0)

L = Aexp(0)

L = A

So, I = Lexp(-1.21x)

we want to find x when I = L/2.

So, L/2 = Lexp(-1.21x)

1/2 = exp(-1.21x)

-1.21x= ㏑(1/2)

-1.21x= -㏑2

x = -㏑2/-1.21

x =  0.693/1.21

x = 0.573 m

6 0
3 years ago
Simplify:<br> (3)+(-4)<br> O A. -7<br> OB. 1<br> O c. 1<br> OD. 7
Lady bird [3.3K]

Answer:

-1

Step-by-step explanation:

(3) + (-4) =

4-3= -1

8 0
3 years ago
Read 2 more answers
How to solve this problem?
Leona [35]

Answer:

x° = 35°

Step-by-step explanation:

at 125° to get the opposite angle

180° - 125° = 55°

then,

x° + 90° + 55° = 180°

x° = 180° - 145°

x° = 35°

7 0
3 years ago
A certain food has a gluten ratio of 13 mg of gluten per L of the food
photoshop1234 [79]

The gluten ratio of this food in micrograms per milliliter is equal to 13 μg/mL.

<h3>What are metric prefixes?</h3>

Metric prefixes are also referred to as SI prefixes and they can be defined as a series of prefixes to basic units of measurement, especially in the International System of Units (SI).

<h3>What is a conversion factor?</h3>

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

In Mathematics, an appropriate conversion factor to an equal value must always be used when it is necessary to perform any mathematical conversion.

The conversion from SI prefixes is given by:

1 L (liter) = 1000 mL (milliliter)

1 mg (milligram) = 10⁻³ g (gram)

1 μg (microgram) = 10⁻⁶ g (gram)

1 mg (milligram) = 1000 μg (microgram)

Therefore, the gluten ratio in micrograms per milliliter is as follows:

Gluten ratio = 13 mg/L × 1000 μg/mg × 1/1000 L/mL

Gluten ratio = 13 μg/mL.

Read more on gluten ratio here: brainly.com/question/4599631

#SPJ1

Complete Question:

A certain food has a gluten ratio of 13mg per L of the food. What is the gluten ratio in micrograms per milliliter?

5 0
2 years ago
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