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3 years ago

How many dimes and nickels make 6.10 dollars if there are 79 coins

Mathematics

2 answers:

Tamiku [17]3 years ago

8 0

But in all 67 dimes and nickels put together

7nadin3 [17]3 years ago

4 0

Answer:

50 dimes and 29 nickels

Step-by-step explanation:

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Ex 3.6<br> 6. find the area enclosed between the curve y= -2x²-5x+3 and the x-axis

Xelga [282]

When y=0,

$-2{ x }^{ 2 }-5x+3=0\\ \\ 2{ x }^{ 2 }+5x-3=0\\ \\ \left( 2x-1 \right) \left( x+3 \right) =0$

$\\ \\ \therefore \quad x=\frac { 1 }{ 2 } \\ \\ \therefore \quad x=-3$

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

$\int _{ -3 }^{ \frac { 1 }{ 2 } }{ -2{ x }^{ 2 } } -5x+3dx$

$\\ \\ ={ \left[ -\frac { { 2x }^{ 2+1 } }{ 2+1 } -\frac { 5{ x }^{ 1+1 } }{ 1+1 } +3x \right] }_{ -3 }^{ \frac { 1 }{ 2 } }$

$\\ \\ ={ \left[ -\frac { 2{ x }^{ 3 } }{ 3 } -\frac { 5{ x }^{ 2 } }{ 2 } +3x \right] }_{ -3 }^{ \frac { 1 }{ 2 } }$

$\\ \\ \\ =\left\{ -\frac { 2 }{ 3 } { \left( \frac { 1 }{ 2 } \right) }^{ 3 }-\frac { 5 }{ 2 } { \left( \frac { 1 }{ 2 } \right) }^{ 2 }+3\left( \frac { 1 }{ 2 } \right) \right\} -\left\{ -\frac { 2 }{ 3 } { \left( -3 \right) }^{ 3 }-\frac { 5 }{ 2 } { \left( -3 \right) }^{ 2 }+3\left( -3 \right) \right\}$

$\\ \\ \\ =-\frac { 2 }{ 3 } \cdot \frac { 1 }{ 8 } -\frac { 5 }{ 2 } \cdot \frac { 1 }{ 4 } +\frac { 3 }{ 2 } -\left\{ -\frac { 2 }{ 3 } \left( -27 \right) -\frac { 5 }{ 2 } \cdot 9-9 \right\}$

$\\ \\ =-\frac { 2 }{ 24 } -\frac { 5 }{ 8 } +\frac { 3 }{ 2 } -\left\{ \frac { 54 }{ 3 } -\frac { 45 }{ 2 } -9 \right\}$

$\\ \\ =-\frac { 2 }{ 24 } -\frac { 15 }{ 24 } +\frac { 36 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +9$

$\\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +\frac { 18 }{ 2 } \\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 63 }{ 2 }$

$\\ \\ =\frac { 343 }{ 24 }$

Answer: 343/24 units squared.

6 0

4 years ago

Read 2 more answers

I am a odd number less than 100 and a multiple of 15.The sum of my digits is 12.What number am I.

lutik1710 [3]

The number is 75
15*3=75
75<100
7+5=12
75 is odd

6 0

3 years ago

Read 2 more answers

Which expressions are equal to the expression –2.7 – 16.4?

bija089 [108]

B and D are the same as your expression because adding a negative number is the same as taking away. whereas in A and C, taking away a negative is the same as adding, which you don't want

6 0

4 years ago

PLEASE I NEED THIS DONE BY MIDNIGHT HELP

Readme [11.4K]

Answer:

Khalid’s rate is ___140_ miles per hour. Jesse’s rate is _150___ miles per hour. So, _Jesse’s___ train traveled at a faster speed.

Step-by-step explanation:

The general equation of a straight line is

y = mx + b

for y = 150x

We have the slope as 150

This is 150 miles/hour

This relates to Jesse’s train speed

for Khalid, we have his own speed obtainable from the graph

The speed is simply the slope of the graph

We proceed to select two points from the graph and find the slope

The points are; ((1,140) and (4,560)

Mathematically, the slope will be;

m = (y2-y1)/(x2-x1)

m = (560-140)/(4-1) = 420/3 = 140 miles per hour

5 0

3 years ago

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole. The pole is 48 ft tall. W

Irina-Kira [14]

Answer:

73 feet.

Step-by-step explanation:

Given:

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.

The pole is 48 ft tall.

Question asked:

What is the length of the rope?

Solution:

Here we found that a right angle triangle is formed in which base and height is given <u>as shown in the figure, </u>we have to find the longest side of the triangle,

Base = 55 feet

Height = 48 feet

Length of the rope = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

$(Longest\ side)^{2} =$ $55^{2} +48^{2}$