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3 years ago

Which expressions are equivalent to 10a - 25 + 5b10a−25+5b10, a, minus, 25, plus, 5, b?

Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

Answer:

Answer: (2a - 5 + b)5

Answer: 10 x (a - 2.5 + 0.5b)

Answer: (-2a + 5 - b) ⋅ (-5)

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The month of April has 30 days. Corey's iguana eats 2 1/2 ounces of peas a day. How many ounces of peas will Corey's iguana eat

photoshop1234 [79]

It is basically 30 times 2 1/2 which equals 75 ounces. So the iguana will eat 75 ounces in the month of April.

3 0

2 years ago

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total r

Masja [62]

Answer:

about 26 min

Step-by-step explanation:

Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point

First we find the average speed

We add both speed and divide it by 2

$\frac{4.5+5.5}{2} = 5$

Now we find the distance for round trip

given total time is 48 mins. convert mins into hours

48 mins = 48 divide by 60 = 0.8

average speed = 5 km/hr

Distance = speed * time = 5 * 0.8 = 4 km

distance covered both ways = 4 km

so 4 divide by 2 = 2 km each way

To find time taken for upstream = distance of each way / speed of upstream

time = $\frac{2}{4.5} = 0.44 hours$

Now convert hours into minutes

0.44* 60= 26.4 minutes

3 0

3 years ago

A cab ride from the airport to your home costs $19.50. If you want to tip the cab driver close to 10 percent of the fare, how mu

OLEGan [10]

That would be 2$ .......

4 0

3 years ago

Read 2 more answers

4. A loan made on March 12 is due September 10 of the following year. Find the exact time for the loan in a non-leap year and a

saul85 [17]

Answer:

182 days

Step-by-step explanation:

Given:

Date on which loan is made = March 12

Due date of the loan = September 10

Now,

The months in between March and September and the number of days in the particular months are

Month Number of days

April 30

May 31

June 30

July 31

August 31

------------------------------------------

Total number of days = 153

also,

Number of days left in March after 12 are (31 - 12 ) = 19 days

and,

Number of days in September before the due date = 10 days

Hence, the total time for loan = 19 + 153 + 10 = 182 days

since the included months does not have the month of February. Therefore,

the time for both leap year and non-leap year will remain same.

7 0

3 years ago

If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?

Oduvanchick [21]

$\large\underline{\sf{Solution-}}$

<u>Given:</u>

$\rm \longmapsto x = a \sin \alpha \cos \beta$

$\rm \longmapsto y = b \sin \alpha \sin \beta$

$\rm \longmapsto z = c\cos \alpha$

Therefore:

$\rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta$

$\rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta$

$\rm \longmapsto \dfrac{z}{c} = \cos \alpha$

Now:

$\rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} }$

$\rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha$

$\rm = 1$

<u>Therefore:</u>

$\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1$

5 0

3 years ago