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Katen [24]
3 years ago
9

Lin drove her car at a constant speed 164 miles in 4 hours. Manuel rode his motorcycle 140 miles in 3.5 hours. Who rode faster?

By how much?
Mathematics
1 answer:
Feliz [49]3 years ago
7 0

Answer: Manuel Because He was on the motor bike less. She was in the car driving for 4 HOURS he was on the bike less for a grand total of 3.5 HOURS so MANUEL was faster. :)

And he was faster by 30 minutes...

This is one of those questions where they try to put you focus on something else like speed speed does not matter!! :)

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how many quarts of pure antifreeze must be added to 6 quarts of a 10% antifreeze solution to obtain a 40% antifreeze solution
saveliy_v [14]
First off, let's change the percentage amounts to decimal format, thus, a pure antifreeze is 100% antifreeze, so it has a 100% concentration, thus if we were to add an amount of "x", then the amount on antifreeze in that will then be (100/100) * x, or 1x, or just "x".

the mixture will be say, "y" amount of 40% antifreeze, thus, the concentrated amount in it will be (40/100) * y or 0.4y.

thus

\bf \begin{array}{lccclll}
&amount(quarts)&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&------&------&------\\
\textit{pure antifreeze}&x&1.00&1x\\
\textit{10\% solution}&6&0.10&0.6\\
------&------&------&------\\
mixture&y&0.40&0.4y
\end{array}

now, bear in mind that, whatever "x" is,
x + 6 = y    <--- the amounts added must yield the amount of the mixture

and x + 0.6 = 0.4y <--- the contrated amounts sum will also add up to the mixture's

\bf \begin{cases}&#10;x+6=\boxed{y}\\&#10;x+0.6=0.4y\\&#10;----------\\&#10;x+0.6=0.4\left( \boxed{x+6} \right)&#10;\end{cases}&#10;\\\\\\&#10;x+0.6=0.4x+2.4\implies 0.6x=1.8\implies x=\cfrac{1.8}{0.6}

4 0
3 years ago
Read 2 more answers
How are rigid transformations used to justify the SAS congruence theorem?
Masja [62]

Answer:

When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.

Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

Assume two sides of a triangle are:

And the angle between the two sides is:

When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:

Notice that the sides and angles do not change.

Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

Step-by-step explanation:

5 0
1 year ago
Mrs. Franklin took her five children to an amusement park. The cost of tickets for the 2 younger children was $12.50 each. The c
melomori [17]

Answer:

$13.50

Step-by-step explanation:

The total amount spent $80.50 would be equal to the sum of the price of the ticket bought by the 6 individuals

total cost of the tickets for the  2 younger children = $12.50 x 2 = $25

let the price of each ticket for the three older children be represented by x. the total price of the 3 tickets would be 3x

$80.50 = $25 + 3x + 15

Collect like terms and solve for x

$40.50 = 3x

x = $13.50

3 0
3 years ago
The 9s in 9,905,482
Katarina [22]

Answer:

the 9s are in the millions and hundred thousands

Step-by-step explanation:

4 0
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Aida applied the distributive property to write the equivalent expressions below.
morpeh [17]

Answer:

The answer is b

Step-by-step explanation:

5 0
3 years ago
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