Help sorry nothing was attached last time

Help Sorry Nothing Was Attached Last Time

Answers

Answer 1

Given:

The area of a rectangle is 99 square yd.

Length of the rectangle = 7 yd more than twice the width.

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then, length of the rectangle is:

[tex]Length=2x+7[/tex]

Area of a rectangle is:

[tex]A=length\times width[/tex]

[tex]A=(2x+7)\times x[/tex]

[tex]A=2x^2+7x[/tex]

The area of a rectangle is 99 square yd.

[tex]2x^2+7x=99[/tex]

[tex]2x^2+7x-99=0[/tex]

Splitting the middle term, we get

[tex]2x^2+18x-11x-99=0[/tex]

[tex]2x(x+9)-11(x-9)=0[/tex]

[tex](x+9)(2x-11)=0[/tex]

Using zero product property, we get

[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]

[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]

[tex]x=-9[/tex] and [tex]x=5.5[/tex]

Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.

Now, the length of the rectangle is:

[tex]Length=2x+7[/tex]

[tex]Length=2(5.5)+7[/tex]

[tex]Length=11+7[/tex]

[tex]Length=18[/tex]

Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.


Related Questions

Which statements apply to the expression (3/5^3) cubed? Check all that apply.

Answers

Answer:

The true statements are

3/5 is the base

3 is the exponent

(3/5)³ = 3/5 × 3/5 × 3/5

(3/5)³ = 27/125

Step-by-step explanation:

Let a and b be any integer, given the expression;

[tex]a^b[/tex]

a is the base

b is the exponent

Similarly if we have;

[tex]a^3[/tex]

This means we can multiply a in three places as shown;

[tex]a^3 = a \times a \times a[/tex]

Applying this to the given expression

[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]

The base value will be 3/5 and the exponent is 3

PLEASE HELP IT'S URGENT!!!
The coordinate grid shows the graph of four equations:

A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (1, 2) as its solution? (5 points)

Select one:
a. A and D
b. C and D
c. A and C
d. B and D

Answers

Answer:

C. A and C

Both pass by (1,2)

Plz help on this ASAP I forgot

Answers

Answer:

B) If you use 9 cups of almonds, you need 5 cups of flour

Step-by-step explanation:

If 9 is your x-coordinate, that represents 9 cups of almond.

If 5 is your y-coordinate, that represents 5 cups of flour.

Therefore, B is correct

HELP ME DEAR GOD-


Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.


If you flip the coin 10 times the probability you will get a heads at least once is ???

Answers

Answer:

The probability you will get a head at least once is 50%.

Step-by-step explanation:

Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.

A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.

So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.

Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is​

Answers

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

Geometric mean is the mean which is the average of a set of a product.

The geometric mean of the given numbers is 24.

What is geometric mean?

Geometric mean is the mean which is the average of a set of a product.

It can be given as,

[tex](\prod_{i=1}^{n}x_i)^{1/n}=\sqrt[n]{x_1\times x_2\times x_3...........x_n}[/tex]

Here [tex]x_i[/tex] is the values of the average and [tex]n[/tex] is the number of values.

Given information-

The numbers given in the problem is 16 and 36.

The Geometric mean for the number 16 and 36 has to find out.

Use the above formula to find the geometric mean for the number 16 and 36. Thus,

[tex]\prod=\sqrt{16\times36}[/tex]

[tex]\prod=\sqrt{576}\\\prod=24[/tex]

Hence the geometric mean of the given numbers is 24.

Learn more about the geometric mean here;

https://brainly.com/question/47038

Melissa has 120 vanilla cake pops to sell. Each vanilla cake pops is covered with one topping. 1/2 ​ of the cake pops are covered with chocolate sprinkles. 1/3​ of the cake pops are covered with strawberry sprinkles. * the rest are covered with green sprinkles. How many cake pops are covered with green sprinkles?

Answers

Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?

Answers

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more
of her classmates like tacos as compared to her relatives?

Answers

Answer:  9 more of her classmates like tacos as compared to her relatives

Step-by-step explanation:

first mutiply 75 x 48 =3600

3600/100=36

Then, 45 x 60=2700

2700/100=27

and substract 36-27=9

thats the answer, hope this helped!

Find the volume help me pls and thank

Answers

Answer:

Volume = 14.333

Step-by-step explanation:

Answer: 14.34 cm^3

Step-by-step explanation:

V = lwh

V = 3.2 cm x 2.8 cm x 1.6 cm

V = 14.34 cm^3

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace

Answers

Answer:

Equation for the skating palace

= 6 + 2x

Step-by-step explanation:

Let the number of hours = x

For skating palace, the equation is written as:

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.

$6 + $2 × x

= 6 + 2x

For Mathland , the equation is written as:

Mathland skating rink charges $4.00 an hour to skate .

$4 × x

= 4x

Therefore, the equation that represents the situation on the skating palace is :

6 + 2x

Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.

Answers

Answer:

The answer is "0.1040"

Step-by-step explanation:

Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]

                          [tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]

the area of a rectangle is x^2 - 13x + 30 find the dimensions and area of the rectangle of the perimeter is 30

Answers

Answer:

The area and perimeter of a rectangle work with steps shows the complete step-by-step calculation for finding the perimeter, area and diagonal length of the rectangle with the length of 5 in 5 i n and the width of 10 in 10 i n using the perimeter, area and diagonal length formulas.

Step-by-step explanation:

Let f (x) = 1/ x-3and g(x) = x+5. What is the domain of (fºg)(x)?

Answers

Answer:

I can't find that file. please give it again.

Which situation is most likely to have a constant rate of change?

Answers

Answer:

It's C ez claps

Step-by-step explanation:

Below. What is m∠1?

m∠1 =

Answers

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

find the square root of the following:
a. 1434/25

Answers

Answer:

7.57363849

Step-by-step explanation: square root of 57.36 = 7.57363849

Answer:

1434/25 is 57.36 the square root of 57.36 is 7.57

Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1


15 points pls I need ASAP

Answers

Answer:

A. y = 3x + 3

Step-by-step explanation:

y=mx+b

b is the y-intercept (0,y) so lets start with that

We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3

For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m

The whole equation is y=3x+3

the answer is A because the first intercept would be at positive three

If Amy has 5 apples and she eats 3 how many does she have left?

Answers

Answer:

2 apples.

Step-by-step explanation:

Answer:

She has 2 more apples left!

Step-by-step explanation:

Simple: this is the equation: 5 - 3 = 2!

How do I solve this problem?

Answers

Step-by-step explanation:

Solution:

Given,

t1( first term ) a = -15

t2( second term ) b = -9

CD(Common Difference) = ?

We know,

CD = b - a

= -9 - ( - 15 )

= -9 + 15

= 6

Now,

t1 = -15

t2 = -9

t3 = -3

t4 = 3

t5 = a + ( n - 1 )CD

= -15 + ( 5 - 1 ) 6

= -15 + 24

= 9

t50 = a + (n - 1 ) CD

= -15 + ( 50 - 1 ) CD

= -15 + 49 × 6

= -15 + 284

= 269

So the sum of t50 is 269.

PLEASE HELP
WILL GIVE BRAINLIEST

Answers

Answer:

The answer will be 1.25

Step-by-step explanation:

12 7/12 - 11/1/3 = 1.25

Hope this helps!

answer:
19/12

step-by-step explanation:
make fractions into like terms
1/3 can be 4/12
12 • 12
144 + 7
151/12
11 • 12
132 + 4
136/12
151 - 132
19/12

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?

Answers

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

8. Which choice is chord?
LG
CH
LM
CJ

Answers

Answer:

Step-by-step explanation:

LG: is a chord. Are there others?

CH: is a radius. C is the center of the circle.

LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.

CJ: Anything coming from C and ending at the circumference is going to be a radius.

Geometry question on finding x.

Answers

Answer:

[tex] x =63^o[/tex]

Step-by-step explanation:

Given :-

[tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]

Hence the value of x is 63° .

Identify the area of the trapezoid.

Answers

Answer:

A = 37.5

Step-by-step explanation:

The formula for finding the are of a trapezoid is (a + b)/2(h)

a = base

b = base

h = height

A = (6.1 + 8.9) / 2(5)

A = 37.5

Answer:

The answer is 37.5.

Step-by-step explanation:

The area for a triangle is A=1/2 bh.

In this case, we have 2 triangles, so we just make it one rectangle.

Each triangle is (1.4*5)/2. (1.4*5)*2/2=7.

You do 2/2 because the half and the two triangles cancel out.

6.1*5=30.5.

30.5+7=37.5

Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?

Answers

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

Translate the expression: 3 times the difference between 7 and
g is 90

Answers

Answer:

3(7-g)=90

You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.

What is 5 to the 6 power divided by 3794.3?

Answers

Answer:

4.11801913396

Step-by-step explanation:

Heart me pls

Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?

Answers

Answer:

4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense

Can you plz help me!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

10 ft

Step-by-step explanation:

This is the Pythagorean theorem. a²+b²=c².

8²=64

6²=36

Now we add 64+36=100. Square root 100 to get 10 ft. (The answer is squared before so we have to square root it)

4. Solve the following inequality for b, showing all of your work carefully and completely
4b - 12 - 55 < 9b +8​

Answers

Answer:

b > -15

Step-by-step explanation:

4b - 12 - 55 < 9b + 8

Combine terms.

4b - 67 < 9b + 8

Subtract 9b from both sides.

-5b - 67 < 8

Add 67 to both sides.

-5b < 75

Divide both sides by -5. When dividing by a negative, flip the sign.

b > -15.

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