find the mole fraction of benzene and toluene in solution containing

(a) equal mass of each

(b) equal molecules of each ​

Answer:

[tex] {3}^{2} x - 9 = 0 \\ 9x = 9 \\ x = 1[/tex]

Answer: 1 11/12 hours

Step-by-step explanation:

Since visitors spend 1/3 of their time waiting in line for rides and the Santos family spends 5¾hours at the park.

The tune spent waiting in line will be calculated by multiplying ⅓ by 5¾. This will be:

= ⅓ × 5¾

= ⅓ × 23/4

= 23/12

= 1 11/12 hours

Therefore, they'll wait in the park for 1 11/12 hours

Answer: No, 3.8 is not a solution.

Step-by-step explanation:

Set -5x+1 equal to 3x-2

-5x+1=3x-2 subtract 3x making it -8x+1=-2 subtract one from both sides and get -8x=-3 divide by -8 and get -3/-8 which equals in decimal form 0.375

Check it

plug in 0.375 for X

-5(0.375)+1= -0.875

3(0.375)-2 = -0.875

It checks out ^_^

Answer:

The dimensions of his scale drawing = 4 cm by 6 cm

Step-by-step explanation:

An urban planner wants to create a city block. The city block will be 50 feet by 75 feet. What will the dimensions of his scale drawing be if the drawing has a scale factor of 1 cm = 12.5 ft?

From the above question

12.5 ft = 1 cm

Hence

For 50 feet

12.5 feet = 1 cm

50 feet = x

Cross Multiply

12.5 × x = 50

x = 50/12.5

x = 4 cm

For 75 feet

12.5 feet = 1 cm

75 feet = x

Cross Multiply

12.5 × x = 75

x = 75/12.5

x = 6 cm

The dimensions of his scale drawing = 4 cm by 6 cm

Answer: [tex]11.78\ in.^3[/tex]

Step-by-step explanation:

Given

Radius of cone [tex]r=1.5\ in.[/tex]

Height of cone [tex]h=5\ in.[/tex]

Ice required to fill the cone=Volume of cone

The volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Put values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 1.5^2\times 5=11.78\ in.^3[/tex]

Answer:

B

Step-by-step explanation:

Since it says there has to be MORE than 27 people, 12 + x should be more than 27

Answer:

0.81 hour

Step-by-step explanation:

Given data

Distance=  544.32 miles

Speed=  672 miles per hour.

We know that

Speed= distance/time

Substitute

672=  544.32/time

cross multiply

time*672= 544.32

time= 544.32/672

time= 0.81 hour

Answer:

1 and 0

Step-by-step explanation:

Zero is an integer

Answer: A and D

Step-by-step explanation:

Answer:

35 cans

Step-by-step explanation:

big brain

Answer:

1:

<A=½(arcJL)=½(70+120)=35+60=95°

[inscribed angle is half of central angle]

2:

<W=½arcVX=½(130)=65°

[inscribed angle is half of central angle]

3.

<E=½(arcDC)=½(90)=45°

[inscribed angle is half of central angle]

4.

<R=½(arcXZ)=½(110+62)=86°

[inscribed angle is half of central angle]

5.

<B=½(arc DC)=½×104°=52°

[inscribed angle is half of central angle]

6.

<K=90°

[inscribed angle in a diameter is complementary]

<K+<J+<L=180°(sum of interior angle of a triangle]

<L=180°-90°-53°=37°

again

arc JK=2×<L=2×37=74°

Answer:

The additional information necessary is option;

D. [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Step-by-step explanation:

From the given figure, we have;

Given that ML ≅ MP,

The Hypotenuse Leg HL theorem of congruency is used to prove that a given number of right triangles based on the lengths of their hypotenuse and one of the legs. It states that two or more right triangles are congruent if they have equal lengths of both their corresponding hypotenuse side and one leg

To prove that ΔLMN and ΔPMN are congruent by HL, we will also be required to prove that ΔLMN and ΔPMN are right triangles

For ΔLMN and ΔPMN to be right triangles, the angles, ∠LNM and ∠PNM should be right angles = 90°

With ∠LNM = ∠PNM = 90°, then, line [tex]\overline {MN}[/tex] is perpendicular to line [tex]\overline {LP}[/tex] or  [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex]

Therefore, the additional information necessary to prove that ΔLMN ≅ ΔPMN by HL is [tex]\overline {MN}[/tex] ⊥  [tex]\overline {LP}[/tex].

Answer:

10 and 2

Step-by-step explanation:

a + b = 12

a - b = 8

let 'a' = 8 + b

substitute:

8 + b + b = 12

2b + 8 = 12

2b = 4

b = 2

a must be 10 then

Answer: 10 visit

Step-by-step explanation:

Given

45 Points earned by signing up

11.5 points earned for each visit to the theatre

160 points are needed for a movie ticket

Suppose, after x visit he gets enough points to buy a movie ticket

[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]

So, after 10th visit, he earns a movie ticket

Answer:

hope this helps:) have a good day

Answer:

huh

Step-by-step explanation:

Answer: 3x^2+2x-8

Step-by-step explanation:

Answer:

3xto the power of 2+2x -8

Answer:

if your trying to find the area of 10ft and 2 1/2 all you gotta do is turn the 2 1/2 in a decimal and multiply it by 10 which is 25

Step-by-step explanation:

Answer:

(0, -4)

Step-by-step explanation:

To find the y-intercept, set x equal to zero:

y = -3(0) - 4, or y = -4, or (0, -4)

Answer: (0,4)

Step-by-step explanation:

Answer:

diameter = 36 in.

Step-by-step explanation:

V = 4π r^3/3

24416.64 = (4(3.14) r^3)/3

73249.92 = 12.56 r^3

r^3 = 5832

r = cube root of 5832 = 18

diameter = 36 in.

Answer:

constant

Step-by-step explanation:

Answer:

pretty sure it's a variable change

Step-by-step explanation:

The value is decreasing by a different number each time, in the same interval

Answer:

x

+

1

Step-by-step explanation:

Answer:

= x + 1

Step-by-step explanation:

Answer:

7 5/9

Step-by-step explanation:

340/45 = 7 5/9

Answer:

7.6 pages

Step-by-step explanation:

Okie, so this is a standard unit rate problem, so what you're going to do is divide the number of whatever, in this case, pages, by the time, so:

340 ÷ 45 = 7.6 (rounded)

So you read 7.5 pages per minute

(which is pretty impressive if it's a chapter book)

hope this helps:)

Answer:

no and show no pattern

Step-by-step explanation:

with scatter plots like these, there is no exact information at all, what so ever