The blueprint for the Daly​'s living room has a scale of 2 inches=5 feet. The family wants to use a scale of 1 inch equals = 3 feet. What is the width of the living room on the new​ blueprint?

Answer:

The first stpe in solving this system of equations is finding either X or Y in terms of the other variable. Ex: x = 8 - y or y = 8 - x

Step-by-step explanation:

When faced with a system of equations problem, you need to find one variable at a time. To do this, you need to eliminate one of the variables from one of the equations. I used x + y = 8 because that was simplier to find one of the variables from. From there, you can substitute that in for the variabel in the secone equation.

3x - 2y = -6

3x - 2(8 - x) = -6

3x - 16 + 2x = -6

5x - 16 = -6

5x = 10

x = 2

Than you can use that and plug it back into one of the original equations to find the other variable.

x + y = 8

2 + y = 8

y = 6

Answer:

the Answer is 4

Step-by-step explanation:

Draw a open circle on 4 and a straight line 5-10

Answer:

1/6 chance or 16.667% chance

Step-by-step explanation:

a fair number cube has six sides so if you roll that 30 times that's 180 sides and the probability of rolling a 2 out of a single dice is 1/6 and since 180 * 1/6 is equal to 30 that is 30 out of 180 which is 1/6

Step-by-step explanation:

p=7500*100=750000

t=6yrs

r=6%

I=p*t*r/100

=750000*6*6/100

=270000

=270000/100

=$2700

Answer:

-81/3+32/5

-81×5+32×3/15

-243+96/15

-147/15

-49/5 Ans

To answer your question ("do you multiply the whole number too?"): Yes, you have to multiply the whole number as well. You can't just separate 1/3 from -8 and multiply it with 2/5, because the whole number is part of the mixed #. Whenever you multiply, add, divide, subtract, or do anything to two mixed numbers, you must include the whole term.

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Now your question is addition. Like I said, when you add them together, the whole number and the fractions count as one term.

So basically, -8 1/3 + 3 2/5...

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1) Find the LCM (least common multiple) of the denominators

The LCM of 3 and 5 is 15. To get from 3 to 15, you have to multiply 3 by 5. Now multiply the numbers of the fraction part only by 5.

1/3 --> 5/15 (as you can see, 1x5 = 5, 3x5 = 15)

Now for 2/5: To get from 5 to 15, multiply 5 by 3. Do the same thing to the numbers in the fraction

2/5 --> 6/15 (2x3 = 6, 5x3 = 15)

***TO CLARIFY, DO NOT MULTIPLY THE WHOLE TERM BY THE NUMBER***

Right: 2x3 = 6, 5x3 = 15, 6/15

Wrong: 2/5 x 5 = 2

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2) So now that we found a common denominator, change the two terms to -8 5/15 + 3 6/15 (because we had to find the LCM to make life a lot easier)

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3) We just add them together. Even though they are a term together, you can split them apart and add them together separately thanks to the commutative property of addition*.

Time to split it apart to make life a whole lot easier. -8 5/15 can be split apart into the two terms -8 and 5/15. For 3 6/15, it can be split into 3 and 5/15.

Two options from here on:

Set up a single equation: Put all the terms into one equation. -8 + 3 + 5/15 + 6/15. Solve by adding all the terms together in whichever order you prefer (again, thanks to the commutative property of addition)

It would result in the answer -4 4/15

Or...

Set up two separate equations: Set up an equation for whole numbers, and another one for fractions.

Equation 1: -8 + 3 = -5

Equation 2: 5/15 + 6/15 = 11/15

(6 + 5 = 11)

And we add the sums together. -5 + 11/15 = -4 4/15

And that's it!

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*Commutative Property of Addition: The sum of the numbers will NOT change even if you change the order of the addends

Was an hour late, but I hope this still helped you! If there are any questions, just comment below this

Answer:6x2x2

Step-by-step explanation:

Answer:

donuts L that are left at the end of the day when U donuts are being used during the day: y=24-x. You minus x, the # of donuts being used from 24, the total amount of donuts. To get your y.

Step-by-step explanation:

Answer:

C:Ellen spends exactly $18 for 3 3/4 dozen.

Step-by-step explanation:

1 dzn=$6

3.75 dzn is not exactly $18. It is $22.50

Answer:C

Step-by-step explanation:3 dozens already equals $18

Answer:

The square root of 18 with one digit decimal accuracy is 4.2.

Step-by-step explanation:

Answer:

4.24 (nearest hundredth)

Step-by-step explanation:

Step 1

Square numbers: 1, 4, 9, 16, 25, 36, ...

Find the perfect squares either side of 18:

As [tex]\sf \sqrt{16}=4[/tex] and [tex]\sf \sqrt{25}=5[/tex] then [tex]\sf 4 < \sqrt{18} < 5[/tex]

Step 2

Divide 18 by one of the two square roots in step 1 (4 or 5):

⇒ 18 ÷ 4 = 4.5

Step 3

Find the average of the root (4) and the result (4.5):

[tex]\sf \implies \dfrac{4+4.5}{2}=4.25[/tex]

Repeat steps 2 and 3:

Divide 18 by the solution of step 3.  Then find the average of this and the solution of step 3:

⇒ 18 ÷ 4.25 = 72/17

[tex]\sf \implies \dfrac{4.25+\frac{72}{17}}{2}=\dfrac{577}{136}=4.242647059[/tex]

Repeat:

⇒ 18 ÷ 577/136 = 2448/577

[tex]\sf \implies \dfrac{\frac{577}{136}+\frac{2448}{577}}{2}=4.242640687[/tex]

As the approximate square root needs to be to the nearest hundredth, we do not need to keep repeating the steps.

Therefore, √18 ≈ 4.24 (nearest hundredth)

Step-by-step explanation:

lunch :DDDDDDDDDDDDDDDD

Answer:

My favorite meal is Breakfast

Step-by-step explanation:

Answer:

x=4

y=10

Step-by-step explanation:

3x-y=2

x+y=14 are the 2 equations

you do the elimination process to get 4x=16

which x=4

then you plu 4 into either equation to get y=10

Answer:

She should get $12.17 in change.

Step-by-step explanation:

20- 2.25 = 17.75

17.75 - 4.39 = 13.46

13.46 - 1.19 = 12.17

HGD

-ghost

Answer:

Step-by-step explanation:

Answer:

It false

Step-by-step explanation:

Two events are independent if the result of the second event is not affected by the result of the first event. If A and B are independent events, the probability of both events occurring is the product of the probabilities of the individual events.

Answer:

haiii i can only solve for the vertex...

Step-by-step explanation:

so to find the vertex you have to make it to

y - h = a(x - k)^2

i think

(you could also just make it y = a(x - k)^2 + h but i like the second one better)

soo

y + 5 = 3(x + 7)^2

the vertex is

(-7, -5)

and ummm i think the axis for the axis of symmetry .ss

x = 2a/b but im not sure

Answer:

scale factor = 2.5 and b` is now (0,10) and c` is (-15, 25)

Step-by-step explanation:

You first want to divide -15 and -6, the x values of a and a`. this will give you the scale factor. then multiply every other number by the scale factor to get the points for b` and c`.

(not sure if this is right but this is how i learned)

Answer: and what do I answer

Step-by-step explanation:

Answer:

[tex]

\begin{gathered}A=\underbrace{\begin{pmatrix}1&2\\4&3\end{pmatrix}}_{M_1}\underbrace{\begin{pmatrix}6&1&5\\7&3&4\end{pmatrix}}_{M_2}\end{gathered}[/tex]

Just Trying out this latex

Answer:

No, the car didn't catch the bus, as their time and distance traveled doesn't intersect when portrayed on a graph.

Step-by-step explanation:

It would take the car approximately 2.14 hours to catch up to the bus. Since the car left at 12:15 pm, it should have caught up to the bus at 2:29 pm.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Yes, the car was able to catch up to the bus before it reached the game. With the car travelling at 54 mph and the bus travelling at 48 mph, the car is travelling 6 mph faster than the bus. In order to calculate how long it would take for the car to catch the bus, we use the formula for average speed:

Average speed = (speed of car + speed of bus) / 2

Average speed = (54 mph + 48 mph) / 2

Average speed = 51 mph

Now, we can use the formula for distance travelled over time to calculate how long it would take the car to travel the 110 miles to the game:

Distance = Rate x Time

110 miles = 51 mph x Time

Time = 110 miles / 51 mph

Time = 2.14 hours

Therefore, it would take the car approximately 2.14 hours to catch up to the bus. Since the car left at 12:15 pm, it should have caught up to the bus at 2:29 pm.

Learn more about the average speed here:

brainly.com/question/9834403.

#SPJ2

Answer:

You could explain by saying you are using a number or N and estimate the difference between 106 and 51 in which this case is 55. This would be 106 + N(55)= 106.

Answer:

You woulod round 106 to 100 and 51 to 50 then subract 100-50=50          N= around 50

Step-by-step explanation:

One hundred and six minus fifty-one equals fifity-five

Answer:

0.15

Step-by-step explanation:

Area = [tex]\pi[/tex][tex]r^{2}[/tex]

Area of the shaded region = [tex]\pi 5^{2}[/tex]

Area = 78.5 [tex]in^{2}[/tex]

Area of the whole dart board = [tex]\pi r^{2}[/tex]

Area = [tex]\pi 13^{2}[/tex]

Area = 530.66[tex]in^{2}[/tex]

Probability = [tex]\frac{78.5}{530.66}[/tex]

= 0.1479 ≈ 0.15

Answer:

p = (4 × 2401) × 121 = ( 9604 × 121) = 1162084

q = (9 × 125) × 14641 = (1125 × 14641) = 16471125

LCM of 1162084 = 2324168 , 3486252 , 4648336 , 5810420 , 6972504

LCM of 16471125 = 32942250 , 49413375 , 65884500

Step-by-step explanation:

Step-by-step explanation:

A = pi × r²

A = pi × 13²

A = 530.93 km²

Answer:

75.14 or 56.52

Step-by-step explanation:

Either you multiply 12x6+3.14=75.14 or you add 12+6x3.14=56.52

Answer:

Step-by-step explanation:

The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

How to solve the decimals?

From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.

In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.

Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.

Answer:

D. 63

Step-by-step explanation:

500 * 1/8 = 62.5

62.5 lightsbulbs do not exist soo we round up to 63

Answer:

40 times

Step-by-step explanation:

To figure this out, divide 6 by 30, then multiply by 200

(6/30)200 = 40

This also works: (200/30)6 = 40

We divide 6 by 30 because we landed on the 1 side 6 times out of 30. We then multiply 6/30 by 200 because it is out of 200 this time, so we will multiply 6 by 200 then divide by 30. 200(6) = 1200. 1200/30 = 40.