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2 years ago

Solve and check the following equation. −75 = −5d − 150d =

Mathematics

2 answers:

Neko [114]2 years ago

7 0

-75 = -5d - 150d
-75 = -155d
-75/-155 = d
15/31 = d
!!!!!!!!

AleksandrR [38]2 years ago

4 0

Answer:

15/31 is the answer.

Step-by-step explanation:

-75 = -5d- 150d

-5d- 150d= - 155d

divide -75 from -155d

-155d / -155= -75 / -155

=15 / 31

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natulia [17]

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.

3 0

3 years ago

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do

xenn [34]

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

$\texttt{ }$

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

Elimination Method
Substitution Method
Graph Method

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

$\texttt{ }$

Let:

Volumes of 2% Solution = x

Volumes of 10% Solution = y

$\texttt{ }$

Total Volume = 10 ml

$\boxed{x + y = 10}$ → Equation 1

$\texttt{ }$

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution.

$2 \% x + 10 \% y = 6 \% (10)$

$2x + 10y = 6(10)$

$\boxed{x + 5y = 30}$ → Equation 2

$\texttt{ }$

Equation 1 - Equation 2:

$( x + y ) - ( x + 5y ) = 10 - 30$

$-4y = -20$

$y = -20 \div -4$

$y = 5 \texttt{ ml}$

$\texttt{ }$

$x + y = 10$

$x + 5 = 10$

$x = 5 \texttt{ ml}$

$\texttt{ }$

<h2>Conclusion:</h2>

Volumes of 2% Solution = 5 ml

Volumes of 10% Solution = 5 ml

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

6 0

2 years ago

Which of the following is closest to 27.8 × 9.6? A. 280 B. 300 C. 2,800 D. 3,000

Alisiya [41]

27.8 × 9.6 is equal to 266.88
So, the closest would be A. 280.

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2 years ago

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ElenaW [278]

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Answer:

4. True

5. False

Step-by-step explanation:

4. The number of x-intercepts produced by the quadratic formula may be 0, 1, or 2. It will be 0 if the two roots are complex. It will be 1 if the two roots lie in the same place (one root with multiplicity 2). It is true that there may be only one x-intercept.

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2 years ago

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Zielflug [23.3K]

Answer:

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2 years ago