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Based on the information given, the cost per hour for her long-distance call will be $4.80.

Amount that was charged for the call = $7.20

Number of hours used = 1.5 hours

The cost per hour for her long-distance call will be:

= Amount that was charged for the call / Number of hours used

= 7.20 / 1.5

= $4.80

In conclusion, the cost is $4.80.

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Answer:

y=8

Step-by-step explanation:

6y=8y-16

-2y=-16

y-8

congurnet side have congruen angles

[tex]\\ \sf\longmapsto <N=<P[/tex]

[tex]\\ \sf\longmapsto 6y=8y-16[/tex]

[tex]\\ \sf\longmapsto 8y-6y=16[/tex]

[tex]\\ \sf\longmapsto 2y=16[/tex]

[tex]\\ \sf\longmapsto y=8[/tex]

Answer:

∠KJL = 45°

∠x=45°

∠DBC=67.47°

Step-by-step explanation:

x+x=90

2x=90

x=45°

Answer: there you go

Step-by-step explanation:

Answer:

1) A 1 1/3    2) C  1 5/12

Step-by-step explanation:

1) 2/6+4/8+5/10

Reduce 4/8 with 4 and 5/10 with 5.

2/6+1/2+1/2

Reduce 2/6 with 2.

1/3+1/2+1/2

Add fractions with a common denominator.

1/3+2/2

Reduce 2/2 with 1

1/3+1

Write all numerators above the common denominator.

1+3/3

Calculate.

4/3 = 1 1/3

2) 2 3/4 - 1 1/3

Change to improper fractions.

11/4 - 4/3

Write all numerators above the common denominator.

33-16/12

Calculate.

17/12 = 1 5/12

Hope this helps :)

Answer:

x = 5

Step-by-step explanation:

yeah-ya...... right?

Step-by-step explanation:

the slope is the ratio y change/ x change.

it is -5 here, that means -5/1.

we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).

in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.

so, point 1 is (5, 1).

point 2 is a indicated (4, 6).

Answer:

24 bottles for $5.94.

Step-by-step explanation:

hope that helps, have a great day!!

Answer:

x=9-3y

Step-by-step explanation:

- Move the variable to the right & change its sign

3x + 9y = 27

- Divide both sides by 3

3x = 27 - 9y

- Write the solution x in parametric form

x=9-3y

- Solution:

x= 9-3y

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

Answer:

w = 3

Step-by-step explanation:

10w = 27 + w

since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation

10w = 27 + w

-w           - w

9w = 27

now we have to get w alone so we have to divide 9 by both sides

9w/9 = w

27/9 = 3

so w = 3

Answer:

.13

Step-by-step explanation:

Answer: $1.80

Step-by-step explanation:

10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.

Step-by-step explanation:

False

The SI unit of mass is Kilogram ( Kg)

Use this table,

ㅤ

ㅤ

ㅤ

Answer:

971

Step-by-step explanation:

40782/42=971

Answer: 971 marbles per class

Step-by-step explanation:

40,782 marbles divided by 42 classes =

971 marbles per class

Check

971 x 42= 40782

The greatest common factor of 27 and 46 is 1

Answer:

5*jjjjjjjjkkkkkkkkkk

6(3x-1-2x)=(2x-5-8)

Expand expression 1 : 18x-6-12x

18x-6-12x=2x-5-8

Collect like terms

18x-12x-2x= -5-8+6

4x= -7

x= -4/7

Answer:

Let the income of husband be X

The income of wife will be = X+2000

Combined income of couple will be= (X+2000) + X

                                                   = 2X+2000

It is given that combined income of couple is = 58000

Therefore  2X+2000= 58000

                 2X = 58000-2000

                 2X = 56000

                 X= 56000/2 = 28000

Therefore Income of husband is 28,000

and Income of wife = 28000+2000= 30,000

Step-by-step explanation:

Answer:

[tex]2^{2} *3^{2}[/tex]

Step-by-step explanation:

You would have to prime factorize the number.

36=4x9

4=2x2

9=3x3

36=2x2x3x3

Answer:

36 reduced into simplest form is 12.

Step-by-step explanation:

12 is the simplest form of 36 because it has the smallest numerator and denominator possible to represent that amount.

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]

[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]

Is it all clear?

Answer:

[tex]x = \frac{3}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] {x}^{2} + {x}^{2} = {3}^{2} \\ 2 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{2} \\ x = \frac{3}{ \sqrt{2} } \\ x = 2.121[/tex]

Answer:

the information above is not suffi

Step-by-step explanation:

hope it helps if wrong sorry

Answer:

The median height for tree 1 is greater.

Step-by-step explanation:

The height of tree 1 is greater therefore I believe the median will also be greater. I hope this helps.

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

Answer:

median = 36

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

8   19   36   46   56

            ↑ middle value

median = 36

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

Step-by-step explanation:

[tex] \\ {5400} \div 300000[/tex]

[tex] \\ = \frac{5400}{300000} [/tex]

[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]

[tex] \\ = \frac{9}{500} [/tex]

[tex] \\ = 0.018[/tex]

A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:

B. Substitution Angle Angle Postulate.

A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is [tex]360^{o}[/tex].

To prove that ∠ BAD ≅ ∠ DCB, we have:

Given parallelogram ABCD;

<BAC ≅ <ACD (alternate angle theorem)

<DAC ≅ <ACB (alternate angle theorem)

<BAC + <DAC = <BAD

Also,

<BCA + <DCA = <BCD

Therefore,

<BAD ≅ <DCB (Substitution Angle Angle Postulate)

Thus, the missing reason in the partial proof is:

option B. Substitution Angle Angle Postulate

A sketch is attached to this question for more clarifications.

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