Joe wants to carpet a floor of a bedroom. A floor plan is shown. Find the amount of carpet he will need in the car if it is $3 per square foot

Answer:

x= -1, y= 3

Step-by-step explanation:

First, label the 2 equations.

x +2y= 5 -----(1)

x +3y= 8 -----(2)

(2) -(1):

x +3y -(x+2y)= 8 -5

x +3y -x -2y= 3

y= 3 (simplify)

subst. y=3 into (1):

x +2(3)= 5

x +6= 5

x= 5 -6 (bring constant to 1 side)

x= -1

Answer: 2

Step-by-step explanation:

They are saying that x equals 2, and the question is what the function is defined at when x = 2

Going to x = 2, the y value is just 2

The answer is 4.

f(2)=4

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

Step-by-step explanation:

In Triangles WUV and XZY:

[tex]\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.[/tex]

Therefore:

[tex]\triangle UWV \cong \triangle XZY[/tex]

To show that the triangles are similar by the SSS similarity theorem, we have:

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

As a check:

[tex]\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25[/tex]

The correct option is A.

Answer:

answer is a

Step-by-step explanation:

Answer:

6.13 days

Step-by-step explanation:

Hello,

This question directly relates to radioactivity of a substance.

Data,

k = 0.113

Initial mass (No) = 38g

Half life of the substance (T½) = ?

To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.

T½ = ln2 / k

Note : ln2 is a constant derived while k is the decay constant of the substance

T½ = 0.693 / 0.113

T½ = 6.13 days

The half life of the substance is 6.13 days

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Answer: Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.

Step-by-step explanation:

Answer:

Cam has b-7 dollars

Step-by-step explanation:

Let's see if we can recreate the histogram from the description.

Time count

0.5  0

1       0

1.5    2

2      1

2.5   3

3       1

3.5    2

4       1

4.5    0

5       0

The mean is between 2.5 and 3 so that will definitely decrease with a data point that's less that that, as 0.5 is.  

For 10 data points the median is the average of the 5th and 6th when sorted, and those are both 2.5.  When the new point is added the median will be the 6th of 11 points, still 2.5 in this story.

Answer: B  the mean will decrease

Answer:

B

Step-by-step explanation:

This is because the mean will decrease

Answer:

x= -1/2 and x=2/11

Step-by-step explanation:

Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x

Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0

Look at it as if there are two equations: 22x^2+11x and -4x-2

Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)

Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)

Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2

Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:

(11x-2)(2x+1)

Solve each equation for x by equaling them both to zero

Answer:

Carys earns $10 per hour and  earn $1 in [tex]\frac{1}{10}[/tex] hour .

Step-by-step explanation:

Given that :

Carys calculates the total amount E, in dollars, that she earns for working h hours.

She use the equation to calculate the total amount

[tex]E=10h.For h=1, E=10(1)[/tex]

[tex]\Rightarrow\ E=\$10[/tex]

hence, Carys earns $10 in one hour.

Therefore, Carys earns $10 per hour.

Let she earn $1 then put E=1 in the equation, we get

[tex]1=10h\\\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]

Hence, Carys earn $1 in [tex]\frac{1}{10} \texttt {hour .}[/tex]

Answer:

1498.17

Step-by-step explanation:

formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.

r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months

n = 9 x 12 = 108 ( 9 years in months)

A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167

Answer:

Step-by-step explanation:

A = I(1+r/n)^nt

A = ?

I = $1000

r = 4.5% = 4.5/100 = 0.045

n = 12

t = 9

A = 1000(1+0.045/12)^108

A = 1000(1.00375)^108

A = $1498.17

Answer:

41

Step-by-step explanation:

Answer:

72 + 2y = 180

2y = 108

y = 108/2

y = 54

C. 54

Answer:

C

Step-by-step explanation:

Sum of three angles of triangle = 180

72 + y + y = 180  {add like terms}

72 +2y = 180    {Subtract 72 from both sides}

2y = 180 - 72

2y = 108    {divide both sides by 2}

y = 108 / 2

y = 54°

Answer: The answer is given below

Step-by-step explanation:

From store 1:

Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:

= $17.64/7.94

= $2.22 per kg

For store 2:

A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.

The unit price of the first store is a better buy because the price is cheaper.

Answer:

the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents

Step-by-step explanation:

To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:

First price:

17.64 / 7.94 = 2.22

In other words, the price is 2.22 dollars per kilogram.

Second price:

18.88 / 8.39 = 2.25

In other words, the price is 2.25 dollars per kilogram.

Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.

Answer:

NEED HELP

Step-by-step explanation:

I DON'T KNOW?

Answer: height = 7.96 cm

Step-by-step explanation:

Height = volume / πr^2

h = 100 / π*2^2

h = 7.96 cm

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

Answer:

m = 2

Step-by-step explanation:

Your function Y=2x- is not properly formed.  However, y = 2x carries enough information to enable you to determine the slope of the graph of your function:  It is m = 2.

Answer:

A) 3

Step-by-step explanation:

The range is the highest value - the lowest value from the data

The data given is 1,2,3,4

Highest value: 4

Lowest value: 1

So range = 4-1

= 3

Answer:

Distance = [tex]\sqrt{(x^{2}-x,)^{2} +(y^{2} -y,)^{2}[/tex]

Answer:

the area is 28.2

Step-by-step explanation:

28.27433388

Answer: hello this its 28.27433388

thats what i got

Step-by-step explanation:

Answer:

20 miles

Step-by-step explanation:

Answer: Irrational, assuming b is irrational

Step-by-step explanation:

You didnt state what "b" is, but:

Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number

Answer:

Choice C.

Step-by-step explanation:

Choice C has the most numbers close together, and not far away like an outlier.

Please mark me BRAINLIEST! Thanks!

Answer:

D.6, 7, 5, 8, 9, 1

Step-by-step explanation:

A.25, 33, 29, 31, 33, 33, 78, 28   78 is an outlier

B.101, 99, 98, 111, 11, 101, 103           11 is an outlier

C.45, 45, 45, 45, 35, 45    35 is an outlier

D.6, 7, 5, 8, 9, 1   no outliers  the numbers are within 1.5 of the IQR

Answer:

B

Step-by-step explanation:

Because you subtract 14 from the right and left of the = sign

and now we add one on tbe right and left of the = sign. so the quadratic problem would be 3x^2 + 9x -13

Answer:

( About ) 1.01371e + 16 ways

Step-by-step explanation:

You have 21 choices for the first student chosen, 20 choices for the next, then 19, then 18. However, this over-counts everything by a factor of 7! (the number of ways in which four objects can be arranged with regard to order).

Thus, take a look at the procedure below;

[tex]21! / 7! =\\21 * 20 * 19 * 18 * 17 * 16 etc. / 7 * 6 * 5 * 4 * 3 * 2 * 1 =\\( About ) 1.01371e+16[/tex]

This is an approximate answer mind you, so I hope that still helps!

Answer:

6 divided by 4=6/4 (bottom left)

Step-by-step explanation:

You're dividing a 6 meter area into 4 parts, so you're dividing 6 by 4 (6/4 m)

Answer:

6/4 m or 1.5 m

Step-by-step explanation:

Given 6 meter divided by 4 = 6/4

The product of the given values in scientific notation would be = 1.8166× 10-2.

Scientific notation is a method that is used in arithmetics to represent numbers and figures that are too large or too small and usually raised to power of 10.

The values that are given for multiplication is as follows;

5.86 × 10–7 × 3.1 × 104

First rearrange the expressions;

(5.86 × 3.1)(10–7 ×10⁴)

The multiple the coefficients;

(18.166)(10–7 ∙ 104)

The apply the product of power by addition of the powers;

18.166 × 10-3

The scientific notation representation of the product = 1.8166× 10-2

Learn more about scientific notation here:

https://brainly.com/question/27862246

#SPJ1

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

Answer:

The sum = 4092

Step-by-step explanation:

The sum is equal to A, in which:

A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)

   = 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]

   = 4 x (2^10 - 1)(2 - 1)

   = 4 x (2^10 - 1)

  = 4 x  1023

  = 4092

Hope this helps!

Answer:

4092

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence

with a = 4 and r = 2

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus

[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092

I put the wrong answer