X10.IN_4.PS-11

Carlos Martin received a statement from his bank showing a balance of $56.75 as of March 15th his check book shows a balance of

kakasveta [241]

Answer:

$48.87

Step-by-step explanation:

Let the deposited amount between the March 15th and the March 20th be x

Balance on 15th march = $56.75

The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25

And he also deposited x amount

After deposits and deductions

So, balance = 56.75 +x - (13.25+5)

The new balance on 20th march = $87.37

⇒ $56.75 +x - (13.25+5)=87.37$

⇒ $56.75 +x - 18.25=87.37$

⇒ $38.5 +x =87.37$

⇒ $x =87.37-38.5$

⇒ $x =48.87$

Hence Carlos deposited $48.87 in his account between the March 15th and the March 20th.

6 0

2 years ago

Read 2 more answers

How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

2 years ago

Ricky Major

Assoli18 [71]

Answer:

Step-by-step explanation:

The diameter of each curved path is 200 feet. Since the two curved semi circular paths are equal, they would form a circle. It means that the distance around the two semi circular paths would be the circumference of the circle. Formula for determining the circumference of the circle is π × diameter. It becomes

200 × 3.14 = 628 feet

Total distance around the track would be

300 + 300 + 628 = 1228 feet

5280 feet = 1 mile

1228 feet = 1228/5280 = 0.23 mile

If he runs around the track exactly 15 times, it means that the number of miles covered is

0.23 × 15 = 3.45 miles

Since he will collect $4.50 for every mile he runs, the amount of money that he collected is

4.5 × 3.45 = $15.5

5 0

2 years ago

What number makes the sentence true? 15 – 7 = 3+1

nasty-shy [4]

Answer:

4

Step-by-step explanation:

Although you didn't give me any answers to go with your problem, I am assuming that since 15-7 is 8, and 3 + 1 = 4, the answer should be 4. Now regarding if it is times, it would be x2. Because for times 2 would be 8. Overall the answer should be 4.

3 0

2 years ago

I need help fast w = 3.4cm h = 2.5cm

Vikentia [17]

The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.

Step-by-step explanation:

Step 1:

The scale factor is given by dividing the measurement after scaling by the same measurement

The given drawing of the insect is larger than the actual insect.

The scale factor is 20: 1 which means 20 cm on the drawing is 1 cm on the actual insect.

Step 2:

To obtain the actual insect's dimensions, we divide the dimensions of the drawing by 20.

The width of the actual insect $= \frac{3.4}{20} = 0.17.$

The height of the actual insect $= \frac{2.5}{20} = 0.125.$

The width of the insect is 0.17 cm and the height of the insect is 0.125 cm.

7 0

2 years ago