What type of ratio can be a fraction?

a
part to whole
b
whole to part
c
part to part
d
part to total

Answer:

Step-by-step explanation:

quarters = 25 cents so 3 quarters is 75

nickels= 5 cents so 10

pennies= 11

11+10+75

Answer:

96¢

Step-by-step explanation:

25+25+25=75

75+5+5=85

85+1+1+1+1+1+1+1+1+1+1+1=96

Therefore Nathan has 96¢

Hope that helps! If you have any further questions comment down below or message me! Good luck!

Since the line is parallel to x = 8, the slope doesn't change.

In this case, the slope is undefined so nothing changes.

All we need to do is find the x-coordinate in (-3, -2). The x-coordinate is -3.

So, the equation will be x = -3

Best of Luck!

Answer:$42,000

Step-by-step explanation:

The total value of his large assets is $42,000.

Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.

Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.

The total value of his large assets is determined in the following steps given below.

[tex]\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000[/tex]

Hence, the total value of his large assets is $42,000.

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Answer:

x = 25

Step-by-step explanation:

Log10 ( x - 21 ) + Log10 ( x ) = 2,

Log10 ( ( x - 21 )x ) = 2,

( x - 21 )x = 100,

Simplify:

x^2 - 21x = 100,

x^2 - 21x - 100 = 0,

x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : 25

                             and

x = - ( -21 ) + √ ( -21 )^2 - 4 * 1 ( -100 )/2 * 1 : -4

( x = 25 ) ⇒ true

( x = - 4 ) ⇒ false

Answer: x = 25

Step-by-step explanation:

First it will be easer if you turn both sides into improper fractions

5/3-7/3

Now do 5-7

5-7=-2

The bottom of the fraction stays the same

-2/3 is your answer.

Answer:

She is wrong

Step-by-step explanation:

Bacause it can't feet according to the area given

The tiles are bigger

Answer:

[tex]\mathrm{Sum\:of\:Exterior\:Angle\:\ne \:Interior\:Angle}\:\\\\132^\circ\ne135^\circ[/tex]

Step-by-step explanation:

The exterior angle two figures on the left (hexagon and pentagon) sums up to  [tex]132^\circ[/tex]. The interior angle of figure on the right must be equal to this sum to fit in. The interior angle of an octagon is [tex]135^\circ[/tex].

So, it is not possible to fit the octagon in the combination of other two tiles.

Regards: Umer

Answer:

Your answer will be [tex]12[/tex] cups of popcorn.

Step-by-step explanation:

To find out how much the new bags hold, you need to find out the discount.

[tex]\frac{20}{100 } = .2[/tex]

[tex]15 * .2 = 3[/tex]

We know that the discount is [tex]3[/tex].

To figure out how much the new bags hold, subtract by the old bags.

[tex]15 - 3 = 12[/tex]

The new bags hold 12 cups of popcorn.

Answer:8

Step-by-step explanation:

3 3 4 4 4 6 6 8 8 9

data in upper quartile section are 6 8 8 9

We therefore find the median of 6 8 8 9

The median is the upper quartile

Upper quartile=(8+8)/2

Upper quartile=16/2

Upper quartile=8

Answer:

0.733

Step-by-step explanation:

Using a calculator or table:

P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)

P(-1.32 < Z < 0.94) = 0.8264 − 0.0934

P(-1.32 < Z < 0.94) = 0.733

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer:33/9

Step-by-step explanation:

Log10(x+3)-Log10(x-3)=1

Log10((x+3)/(x-3))=1

(x+3)/(x-3)=10^1

(x+3)/(x-3)=10

Cross multiply

x+3=10(x-3)

Open brackets

x+3=10x-30

Collect like terms

10x-x=30+3

9x=33

Divide both sides by 9

9x/9=33/9

x=33/9

Answer:

c) The population is the parents of the pediatrician's patients; the sample is the

10

1010 parents of patients selected.

Step-by-step explanation:

Answer:

c) The population is the parents of the pediatrician's patients; the sample is the

10

1010 parents of patients selected.

Step-by-step explanation:

Answer: [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{4} }{\frac{9}{4} }[/tex]

When multiplying by fractions, invert the fraction in the denominator and multiply it by the numerator.

[tex]\frac{5}{4}*\frac{4}{9}[/tex]

Simplify 4.

[tex]\frac{5}{9}[/tex]

Answer:5/9

Step-by-step explanation:

5/4 ➗ 9/4

The division sign would change to multiplication,and the numerator and denominator in the right hand fraction would be inverted

5/4 x 4/9

Multiply both fractions

(5x4)/(4x9)

20/36

Reduce the fraction to the lowest term by dividing both numerator and denominator by 4

(20 ➗ 4)/(36 ➗ 4)=5/9

Answer:

Choice D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

3×4h equals 12h, and 3×2k equals 6k. Which is also known to be 12h+6k.

Answer: 3600 seconds

Step-by-step explanation:

60 seconds in a minute

60 minutes in an hour

(60)(60) = 3600

Answer:

3600

Step-by-step explanation:

There are 60 seconds in 1 minute

30 minutes equal 1800

So, 1800 + 1800 is 3600.

Hope this helps! :)

Answer:

  -4 or 7

Step-by-step explanation:

Let x represent the number. Then the problem statement tells us ...

  x^2 -2x = 28+x

  x^2 -3x = 28 . . . . . subtract x

  x^2 -3x +2.25 = 30.25 . . . . add the square of half the x coefficient

  (x -1.5)^2 = 30.25 . . . . . . . . write the left side as a square

  x -1.5 = ±5.5 . . . . . . . . . . . . take the square root

  x = 1.5 ±5.5 = {-4, 7} . . . . . . . add 1.5

The number may be either -4 or 7.

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

Answer:

The slope of AB is -5.

Step-by-step explanation:

Parallel lines copy the same slope, so if CD and AB are parallel lines, they will both have the same slope of -5.

Answer:

  C.  65

Step-by-step explanation:

Compare to the standard form ...

  ax² +bx +c

to find the values of a, b, c. They are ...

  a=2, b=3, c=-7

The discriminant is ...

  d = b² -4ac

  d = (3)² -4(2)(-7) = 9 +56

  d = 65 . . . . . . matches choice C

Answer:

3x + 2y = -2

Step-by-step explanation:

Given Equation is − 2 x  +  3 y  =  12

3 y  = 2 x  +  12

y =  ( 2 /3 )  y  +  12

Slope of this line is  m  =  2/ 3

Slope of Line A m a  =  2

Slope of Line B  m b  =  2/ 3

Slope of Line C  m c  =  − ( 2 /3 )

Slope of Line D  m d  =  −  ( 3 /2 )

since  m d  =  − 1 /m  ,  D  is perpendicular to the given line

Answer:

Step-by-step explanation:

If Sam subtracts 17 elephants from his collection, he has 339 stuffed animals that are 2/3 elephants and 1/3 cats.

The number of cats is 339/3 = 113.

The number of elephants is 356 -113 = 243 = 2·113 +17.

Sam has 113 cats and 243 elephants.

Answer:47.05 miles

Step-by-step explanation:

Divide 188.20 by 4 be careful of where you put the decimal point. It is also possible to multiply 188.20 by .25 and get the same answer.

Answer:

f(c)=4f, left parenthesis, c, right parenthesis, equals, 4 for at least one ccc between -2−2minus, 2 and 11

Step-by-step explanation:

hope this helps

There is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

It is required to find the functions has f(0) and f(1).

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

Using Intermediate value Theorem we have

If F(x) is continuous and f(a) and f(b) have opposite signs then there will be at a point  (a ,b)  whereby F(c) = 0

The equation is

[tex]f(x) = e^{x} - 6 + 5x = 0[/tex] on  interval [0, 1],

This shows that the F(x) is continuous on (0,1).

[tex]f(0) = e^{0} - 6 + 5*0 = -5\\ \\f(1) = e^{1} - 6 + 5*1 = e-1[/tex]

e = 2.7182

since the functions has f(0) and f(1) have opposite signs then there is at a point whereby F(c) = 0 ( intermediate value theorem fulfilled )

Hence, there is a root in the given equation ex = 6 − 5x, in the interval (0, 1).

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Answer:

transitive property

Step-by-step explanation:

The given statement is an example of transitive property.

The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”.

Given that, ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3.

This is an example of transitive property.

Transitive property states that, if a = b and b = c then a = c

Hence, the given statement is an example of transitive property.

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Answer:

The height of the cloud cover is 441.66 meters

Step-by-step explanation:

Distance = 560 m

The height of the cloud cover = h meters

According to the diagram, the worker stands at point R,

Let RT = x

tan 45⁰ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{x}[/tex]

therefore, 1 =  [tex]\frac{h}{x}[/tex], h = x

Then tan 75⁰ = [tex]\frac{h}{560-x}[/tex], substituting x = h, we have

3.732 = [tex]\frac{h}{560-h}[/tex]

3.732(560 - h) =  h

3.732 × 560 = 3.732h + h

2089.92 = 4.732h

h = 441.66 m

The height of the cloud cover is 228.62 meters

The given parameters are:

[tex]\mathbf{\alpha = 75^o}[/tex]

[tex]\mathbf{\theta = 45^o}[/tex]

[tex]\mathbf{d = 560m}[/tex]

See attachment for the image of the cloud cover.

From the attached image, we have the following sine ratios:

[tex]\mathbf{sin(75) = \frac hx}[/tex]

[tex]\mathbf{sin(45) = \frac h{560 - x}}[/tex]

Make h the subject in both equations

[tex]\mathbf{ h = xsin(75)}[/tex]

[tex]\mathbf{ h = (560 - x) sin(45)}[/tex]

So, we have:

[tex]\mathbf{ xsin(75) = (560 - x) sin(45)}[/tex]

Open brackets

[tex]\mathbf{ xsin(75) = 560sin(45) - x sin(45)}[/tex]

Collect like terms

[tex]\mathbf{ xsin(75) + x sin(45)= 560sin(45) }[/tex]

Evaluate sine 45 and 75

[tex]\mathbf{ 0.9659x + 0.7071x= 560 \times 0.7071}[/tex]

[tex]\mathbf{ 1.673x= 395.976}[/tex]

Divide both sides by 1.673

[tex]\mathbf{ x= 236.69}[/tex]

Recall that:

[tex]\mathbf{ h = xsin(75)}[/tex]

So, we have:

[tex]\mathbf{h = 236.69 \times 0.9659}[/tex]

[tex]\mathbf{h = 228.618871}[/tex]

Approximate

[tex]\mathbf{h = 228.62}[/tex]

Hence, the height of the cloud cover is 228.62 meters

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Answer:

[tex]\frac{-abx^{6}+1 }{b}[/tex]

Step-by-step explanation:

Answer:

y = (1/2) x -10

Step-by-step explanation:

Perpendicular lines are lines make right angles. The slopes of perpendicular lines are opposite reciprocals !

2x + y = -7 rewrite in form y=

y = -7 -2x

slope of this line is -2

perpendicular lines are opposite reciprocals so the line p has a slope = 1/2

line p passes through (8, -6) so plug in point into equation of p and get ?

y = 1/2 x +?

-6 =1/2(8) +?

-6 =4 + ? subtract 4 from both sides

-6-4 = ?

-10 = ?

y = (1/2) x -10

Answer:

  The graph of the function is negative on (3, ∞)

Step-by-step explanation:

The function starts negative at the left side of the graph, crosses the x-axis at x = -5, touches the x-axis at x = 1, again crosses into negative values at x = 3.

The function is positive on the open intervals (-5, 1) and (1, 3). It is negative on the open intervals (-∞, -5) and (3, ∞). The latter description matches the last answer choice:

  the graph of the function is negative on (3, ∞).

Answer:

(-2,1)

Step-by-step explanation: