the perimeter of a rectangle is 48. The length is 2x and the width is twice the length. Find the length and the width. ​
Please answer!!!

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]30-3x=15+12x[/tex]

First, let's add 3x to both sides. The left side cancels:

[tex]30=15+15x[/tex]

Now, subtract 15 from both sides. The right cancels:

[tex]15=15x[/tex]

Divide both sides by 15:

[tex]x=1[/tex]

So, the value of x is 1.

And we're done!

Answer:

1 =x

Step-by-step explanation:

30 - 3x = 15 + 12x

Add 3x to each side

30 - 3x+3x = 15 + 12x+3x

30 = 15x +15

Subtract 15 from each side

30-15 = 15x+15-15

15 =15x

Divide each side by 15

15/15 = 15x/15

1 =x

Answer:

Observational

Step-by-step explanation:

Observational studies are studies that measure the outcome of events without the introduction of interventions. They are useful in the formation of a hypothesis. The experiment described above is an observational study that compares two groups so as to measure the predictors of an outcome. No intervention is introduced to influence the outcome of the research.

An experiment on the other hand is often organized as a randomized control trial where subjects are divided into groups and a placebo or control group is introduced to monitor the outcome of the study.

Answer:

r = 3,087

Step-by-step explanation:

To find r, you just subtract 1234 from 4321.

1234 = r + 4321

-4321. -4321

-3087= r

Answer:

Step-by-step explanation:

1. Blank= 5

2. Blank= 10 (I believe)

3. Blank= 8

4. Blank= 13 (I believe)

5. Blank= 12

6. Blank= 7

Hope it helps!

OwO

Answer:

9.2 ft

Step-by-step explanation:

The area of a square is A = s^2 where s is the side length

A = s^2

85 = s^2

Take the square root of each side

sqrt(85) = sqrt(s^2)

sqrt(85) = s

9.219544457 =s

9.2 ft  is about the length of each side

Answer:

Between 6-7

Step-by-step explanation:

The square root of 47 is in-between 6 (36) and 7 (49), and is closer to 7 than to 6.

*Formatting is a little off, so apologies if this isn't the exact answer you're looking for

Answer:

the z score is 25

Step-by-step explanation:

since 75 needs 25 more for and 100%

The z-score of Bob if he scored 75 on a test that has a mean of 75 is: z-score = 0.

The z-score = (raw score - mean score)/standard deviation.

A z-score of 0 means the raw score is exactly average.

For a raw score of 75, where the average(mean) is 75, the z-score would definitely be 0.

Thus, Bob's z-score is 0.

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Answer:

10 birdhouses

Step-by-step explanation:

floor gang aooh sub to pewdiepie

Answer:

Student 2 1 sec

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

A fraction is a part of a whole number, so yes a fraction is always less than a whole number, unless it's a mixed number. A mixed number is when there is a whole number before the fraction.

Plaz mark brainliest. I just need 2 more to raise my level.

Answer:

Yes unless the fraction is equal to a whole number or is an improper fraction

Step-by-step explanation:

A normal fraction like 2/4 is less than a whole number because a whole number is whole and a fraction is part of

Exceptions:

4/4 is a fraction but is also a whole number

any improper fraction ( a fraction not simplified)

5/4 it equals more than a whole number 1 1/4

So simplify the fraction and if it is equal to or more than a whole number you know, but if it is less than a whole number then you know it is less.

Hopefully this helped :)

Answer:

i=12p−w

Step-by-step explanation:

Step 1: Flip the equation.

2i+2w=p

Step 2: Add -2w to both sides.

2i+2w+−2w=p+−2w

2i=p−2w

Step 3: Divide both sides by 2.

2i2=p−2w2

i=12p−w

Answer:

25%

Step-by-step explanation:

Answer:

your answer is b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

width  = 11, len = 19

Step-by-step explanation:

length = 2w - 3

l = length

w = width

2(length) + 2(width) = perimeter

2(2w - 3) + 2(w) = 60

6w -6 =60

w = 11

len = 2(11) - 3

The length of the rectangle is 19 inches and the width is 11 inches

The perimeter of a rectangle is given as 2(l+w)

Now

Given that the Perimeter is 60 inches

Let the width be w

So that the Length is 2w -3

Putting the values into the equation , we have

Perimeter = 2(l+w)

Perimeter =2L + 2w  

Putting the values

Perimeter =2(2w -3) + 2w

Perimeter =4w -6 + 2w

60=6w-6

60+6=6w

66=6w

w  =66/6  =11inches

Since the width is 11 inches,

The length will be  2w -3 = (2x11)-3=19 inches

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Answer:

The roast weighed 1.375 kg

Step-by-step explanation:

Here, we want to know what the roast lamb will weigh in kilograms given its cooking time.

From the question, we are told that to cook 250 grams, 20 minutes is need.

So let’s make a relationship here,

Firstly let’s express 1 hour and 50 minuets in minutes, that will be 60 + 50 = 110 minutes( 1 hour is 60 minutes)

Now;

let’s have our relationship;

20 minutes = 250 grams

110 minutes = x grams

By cross multiplication;

20 * x = 250 * 110

20x = 27,500

x = 27500/20

x = 1,375 grams

But, mathematically 1000g = 1kg

So 1,375 will be 1375/1000 = 1.375 kg

Answer:

Q1 a) 0.9545

b) 0.02275

c) 0.97725

Q2 z is approximately equal to -1.466

Step-by-step explanation:

Q1 The given information are;

The mean time to commute to work = 24.4 minutes

The standard deviation = 6.5 minutes

a) The z-score for 11.4 is given as follows;

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

Where;

x = Observed value 11.4

μ = The mean = 24.4 minutes

σ = The standard deviation = 6.5 minutes

[tex]Z=\dfrac{11.4-24.4 }{6.5 } = -2[/tex]

The z-score for 37.4 is given as follows;

[tex]Z=\dfrac{37.4-24.4 }{6.5 } = 2[/tex]

-2 < z < 2, which gives, from the z-score table;

The probability of commute time to be between 11.4 minutes and 37.4 minutes =  0.97725 - 0.02275 = 0.9545

b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275

c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725

Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

[tex]Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466[/tex]

Answer:

He is 10.1 miles away from his house

Step-by-step explanation:

First you translate the text into an equation using the miles he runs away from his house as positives and the miles he runs towards his house as positives.

+15.6, -10.8, +5.3

Then you put it into an equation and solve

(15.6 - 10.8) + 5.3

4.8 + 5.3

10.1

Answer:

68 flowers

Step-by-step explanation:

70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68. 70-2=68, meaning Kreem has given away 68.

Answer:

68 flowers

Step-by-step explanation:

Kreem starts with 70 flowers

He gives x amount of flower away

That leaves us with 70-x =2

Or 2+x=70

We can now rewrite the question to 70-2=x

Using this we see x, the amount of flowers given away, is 68.

Kreem gave away 68 flowers

Happy to help!

Answer:

4

Step-by-step explanation:

edg and i got it right

For the number of hours greater than or equal to 5.4,  it would take for a worker in this factory to reach 100% of her daily noise exposure.

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is that the inequality (94 – 3 log2x ≤ 88) describes noise exposure level (in decibels) in terms of the number of hours {x} it takes to reach 100% of a person’s recommended daily noise dose.

The given inequality is -

94 – 3 log(2x) ≤ 88

94 - 88 ≤ 3 log(2x)

6 ≤ 3 log(2x)

log(2x) ≥ 2

log(2) + log(x) ≥ 2

log(x) ≥ 2 - log(2)

log(x) ≥ (2 - 0.31)

log(x) ≥ 1.69

x ≥ 5.41

Therefore, for the number of hours greater than or equal to 5.4,  it would take for a worker in this factory to reach 100% of her daily noise exposure.

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Answer:

[tex]Equation = 225 + 50y[/tex]

Step-by-step explanation:

Given

Members = 75

Cost of Shirt = $3

Color = $50 on all shirts

Required

Determine an equation to represent the scenario

Represent the members with x

Such that:

[tex]x = 75[/tex]

First, we need to determine the total cost of ordering x shirts

A shirt costs $3;

So,

[tex]x\ shirts = 3 * x[/tex]

[tex]x\ shirts = 3 x[/tex]

Next, we determine the total cost of colors

Represent each color with y

[tex]1\ color = \$50[/tex]

[tex]y\ color = \$50 * y[/tex]

[tex]y\ color = 50 y[/tex]

The required equation is calculated as thus;

[tex]Equation = x\ shirts + y\ color[/tex]

[tex]Equation = 3x + 50y[/tex]

Substitute 75 for x

[tex]Equation = 3 * 75 + 50y[/tex]

[tex]Equation = 225 + 50y[/tex]

Answer:

50 + 3(B) + 50 + 3(R) + 50 + 3(Y) would be the equation.

Step-by-step explanation:

Answer:5

Step-by-step explanation:

☆ First we need to Distribute:

⇒ (2)(3m)+(2)(4)+(3)(m)+(3)(−5)

⇒ 6m+8+3m+−15

☆ Now Combine Like Terms:

⇒6m+8+3m+−15

⇒(6m+3m)+(8+−15)

⇒9m+−7

☆ Giving us the answer of:

9m+−7

Answer:

[tex]m^2-9[/tex]

Step-by-step explanation:

Simplify [tex]m^2-3m+3m-9[/tex]

add -3m and 3m

[tex]m^2+0-9[/tex]

add [tex]m^2[/tex] and 0

[tex]m^2-9[/tex]

Answer:

Triangle.

Step-by-step explanation:

Reflection of an figure across any line is the mirror image of the figure.

That means reflection of a figure is a rigid transformation, in which size or shape of the image doesn't change.

Therefore, when we reflect triangle ABC across the line MN shape of the reflected angle will remain same as a triangle.

Answer

Graph?

Step-by-step explanation:

Answer:

x=[tex]\frac{2}{8}[/tex]a

Step-by-step explanation:

8ax-5 = -3

Move the -5 to the right side ; -3 + 5 = 2

8ax=2

Get rid of 8a so you are left with x alone by dividing it out

[tex]\frac{8ax}{8a}[/tex] = [tex]\frac{2}{8a}[/tex]

You are left with

x= [tex]\frac{2}{8}[/tex]a

The value of x is 1/4a

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15.

Given equation:

8ax−5=−3

8ax= -3+5

8ax= 2

x= 2/8a

x= 1/4a

Hence, the value of x is 1/4a

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