How many liters are in 2.5 KL

Mathematics

1 answer:

Paladinen [302]3 years ago

8 0

There are 2,500 liters

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The weight distribution of a vehicle specifies that the front wheels carry 55% of the weight. If a certain vehicle weighs 3890 l

mario62 [17]

Answer:

2,139.5 lbs

Step-by-step explanation:

A certain vehicle weighs 3,890 lbs.

The front wheels carry 55% of the weight.

Then,

3,890 lbs - 100%

x lbs - 55%

Write a proportion:

$\dfrac{3,890}{x}=\dfrac{100}{55}$

Cross multiply:

$100x=55\cdot 3,890$

$100x=213,950\\ \\x=2,139.5$

8 0

3 years ago

Write a paragraph proof for the following conjecture.

qaws [65]

Answer:

See explanation

Step-by-step explanation:

Given: m∠SQR=55°.

m∠PQS=35°.

Prove: △PQR is a right triangle.

Paragraph proof

$\begin{array}{ccc}&\text{Statement}&\text{Reason}\\ \\1.&m\angle SQR = 55^{\circ}&\text{Given}\\2.&m\angle PQS = 35^{\circ}&\text{Given}\\3. &m\angle SQR+m\angle PQS=m\angle PQR&\text{Angle Addition Postulate}\\4.&m\angle PQR=55^{\circ}+35^{\circ}&\text{Substitution Property of Equality}\\5. & m\angle PQR=90^{\circ}&\text{Simplify}\\6. &\angle PQR\text{ is a }&\text{right angle }\\&\text{right angle}&\text{d}\\ 7.&\triangle PQR&\triangle\text{d} \end{array}$

Here d means definition

6 0

3 years ago

Write the absolute value inequality in the form

yawa3891 [41]

Answer:

$\large\boxed{|x+7|\geq2}$

Step-by-step explanation:

Look at the picture.

$|x-a|\geq b\\\\a=\dfrac{-9+(-5)}{2}=\dfrac{-14}{2}=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)$