the length of a rectangle exceeds its breadth by 4 cm. if the area of the rectangle is 96cm squared . find the length and breadth

Answer:

$1.25

Step-by-step explanation:

step 1:

2.32 x 32

answer:

74.24

step 2:

114.24 - 74.24

answer:

40

step 3:

40 divided by 32

FINAL answer:

40 divided by 32 = x

x =

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

the original cost was $1.25! :D

Answer:

[tex]v = \frac{16}{3} \: \: and \: \: u = \frac{20}{3} [/tex]

Step-by-step explanation:

In triangle WYZ ,

[tex] {u}^{2} = {4}^{2} + {v}^{2} = 16 + {v}^{2} [/tex]

In traingle WXZ ,

[tex] {(3 + v)}^{2} = {5}^{2} + {u}^{2} [/tex]

Putting the value of U^2 in above eqn.

[tex] = > {(3 + v)}^{2} = 25 + (16 + {v}^{2} )[/tex]

[tex] = > {v}^{2} + 6v + 9 = 41 + {v}^{2} [/tex]

[tex] = > {v}^{2} - {v}^{2} + 6v = 41 - 9[/tex]

[tex] = > 6v = 32[/tex]

[tex] = > v = \frac{32}{6} = \frac{16}{3} [/tex]

Putting the value of V in eqn. below :-

[tex] {u}^{2} = 16 + { (\frac{16}{3} )}^{2} [/tex]

[tex] = > {u}^{2} = \frac{256}{9} + 16[/tex]

[tex] = > {u}^{2} = \frac{256 + 144}{9} = \frac{400}{9} [/tex]

[tex] = > u = \sqrt{ \frac{400}{9} } = \frac{20}{3} [/tex]

Answer:

Well, 1000>(15x+t)+(50x+100t) if there are children aboard.

B. The maximum amount is 19 if one adult is going with 18 children (not including the meal plan). And the total would be $1000

C. If only adults are going then a total of 8 adults can go if they are planning to use the raffle ticket for the meal plan too. If not then the total is 10.

I hope this is right.

The system of inequalities to model this scenario will be -

x + y ≤ 8

75y + 63x ≤ 200

The common region in the first quadrant gives the possible pair of peoples who can go to the trip.

Given is that the Rao family won a raffle of $1,000 to spend at Dixie Amusement Park. They want to use it for a group tour and for meals. A tour can have at most 8 people in the group, and if there are children on the tour there must be at least one adult. The tour cost $250 plus $100 for each adult and $50 for each child. The meal plan for the park is $15 per person.

Assume that there are [x] children in the group and [y] adults. So, we can write -

x + y ≤ 8    ... Eq[1]

(250 + 100)y + (250 + 50)x + 15(x + y) ≤ 1000

350y + 300x + 15x + 15y ≤ 1000

375y + 315x ≤ 1000

5(75y + 63x) ≤ 1000

75y + 63x ≤ 200      ... Eq[2]

Refer tot the graph attached. The common region in the first quadrant gives the possible pair of peoples who can go to the trip.

Therefore, the system of inequalities to model this scenario will be -

x + y ≤ 8

75y + 63x ≤ 200

The common region in the first quadrant gives the possible pair of peoples who can go to the trip.

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Answer: No

Currently we don't have enough information to prove this quadrilateral is a parallelogram. One piece of information that would be useful would be if the other diagonal is bisected. If that's the case, then we have a parallelogram (we would first prove the triangles congruent and then use the corresponding congruent angles to set up the parallel lines). Unfortunately, we only know about one diagonal being bisected, but not both, so we don't have enough info.

Answer:

80%

Step-by-step explanation:

% is out of 100 so make the denominator of 4/5 to be 100:

4/5 times 20/20 = 80/100 = 80%

Answer:

80%

Step-by-step explanation:

4 divided by 5 equal .8

.8 x 100 equals 80

It's multiplied by 100 because usually percentages are out of 100.

OR

You can move the decimal in .8 to 2 space to the right

1/8

Step-by-step explanation:

The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...

 (1/2)(1/2)(1/2) = 1/8

The probability that Nancy rolls all even numbers in 3 rolls is 1/8

Answer:

0.125

Step-by-step explanation:

fastbridge

Answer:

-5x - 9=0

-9=5x

x=-9/5 is your answer

Answer:

y=7

Step-by-step explanation:

Since they are all congruent angles this means that the sides are equal too.

Answer:

6 is the answer

Step-by-step explanation:

Given,

Observations = 6,8,3,6,3,7,4,6,7,3,6

From the above given data,

The observation 6 occurs 4 times, observation 3 occurs 3 times,observation 7 occurs 2 times and the observation 8 occur 1 time.

Mode:The most frequently occurring value.

So the mode of the data is 6 as it occurs more frequently than other.

Answer:

-63q-54

Step-by-step explanation:

When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.

9(-7q-6)

-63q-54

Hope this helps, and have a great day o(*￣▽￣*)ブ

Answer:

The answer is 2 and 8!

Hope this helped :D

Answer:

here

Step-by-step explanation:

Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.

Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.

Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.

Step 4 : Add the two numbers together and write the result in the bottom of the row.

Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.

Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.

Answer:

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Step-by-step explanation:

Given statement is:

"difference of two variables x and y is 7"

This can be mathematically written as:

[tex]x-y = 7[/tex]

To solve this we have to put y = 1 and y = 3

Now,

Putting y = 1 in the equation

[tex]x-1 = 7\\x = 8[/tex]

Putting y = 3 in the equation

[tex]x-3 = 7\\x = 7+3\\x = 10[/tex]

Ordered pairs are of the form (x,y)

Hence,

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Answer:

[tex] {10}^{th} \: term = \frac{5}{512} [/tex]

Step-by-step explanation:

geometric progression formula:

[tex] {n}^{th} \: term = ar ^{n - 1} [/tex]

given:

common ratio, r = 1/2

[tex]first \: term \: = 5[/tex]

1) find the value of a

[tex] {n}^{th} \: term \: = a {r}^{n - 1} [/tex]

we're finding the 1st term, so substitute 1 into n:

[tex] {1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1} [/tex]

first term is 5. so we substitute 5 into the equation:

[tex]5 = a(1)[/tex]

[tex]a = 5[/tex]

2) find the 10th term

we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:

[tex] {10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1} [/tex]

[tex] {10}^{th} \: term = 5( \frac{1}{512} )[/tex]

[tex] {10}^{th} \: term = \frac{5}{512} [/tex]

Answer:

1.) A

2.) D

Step-by-step explanation:

Answer:

1. 3/4

2.-3/2

Step-by-step explanation:

For the first problem, distribute the 2(6-2x) and 2(5+x) to simplify the equation.    This means, multiply what's inside the parentheses by 2. The simplified version of the equation is: 12-4x-2x=10+2x-4.

Once you have distributed, then combine like terms and solve for x.

You do the same thing for the second problem.

Answer:

a

Step-by-step explanation:

y=4x+ 1

Answer:

5n + 300 ≥ 1000

Step-by-step explanation:

Answer:

No, zack will finish first.

Step-by-step explanation:

I would rather not write it out but zack should finish first

Answer:

$125,000

Step-by-step explanation:

the cost of the home = (10,000/8)*100 = $125,000

Answer:

125,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of sin 30 = 1/2

Thus cos B = 1-1/2 = 1/2

Answer: 15

Step-by-step explanation: we have 140 buns if a bakery bought 80 that means we don't have the 80 buns so we remove 80 from 140 so 140-80= 60. and so The remaining buns were put into 4 buns each. so we divide cause they are in 4 and so 60 divided by 4 is 15.

HOPE THIS HELPS!

Step-by-step explanation:

[tex]ab = ob - oa \\ ab = \binom{0}{ - 1} - \binom{3}{ - 2} \\ ab = \binom{ - 3}{ - 1} [/tex]

Answer:

114°

Step-by-step explanation:

because they are parallel they have the same measure

The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.

From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-

∠7 = ∠3

114 =  ∠3

Therefore, angle 3 will be 114°.

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Answer:

the answer would be 4, the number 2 would double since your dividing it by 0.5

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

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Answer:Step-by-step explanation:

the first one and third one