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Ahat [919]
3 years ago
7

2(2-3x) = 3(3+x) + 4

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

x=−1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(2−3x)=3(3+x)+4

(2)(2)+(2)(−3x)=(3)(3)+(3)(x)+4(Distribute)

4+−6x=9+3x+4

−6x+4=(3x)+(9+4)(Combine Like Terms)

−6x+4=3x+13

−6x+4=3x+13

Step 2: Subtract 3x from both sides.

−6x+4−3x=3x+13−3x

−9x+4=13

Step 3: Subtract 4 from both sides.

−9x+4−4=13−4

−9x=9

Step 4: Divide both sides by -9.

−9x /−9  =  9 /−9

x=−1

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Mandy is selling pancakes and waffles at her diner. On Monday she sold a total of 300 pancakes and waffles. If she charges $3 pe
elena-s [515]

Answer:

Mandy sold 250 pancakes and 50 waffles.

Step-by-step explanation:

From the information given, you can say that the sum of pancakes and waffles is equal to 300:

x+y=300

Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:

3x+y=800

You have the following equations:

x+y=300 (1)

3x+y=800 (2), where:

x is the number of pancakes she sold

y is the number of waffles she sold

Now, you can solve for x in (1):

x=300-y (3)

Then, you can replace (3) in (2):

3(300-y)+y=800

900-3y+y=800

900-800=2y

100=2y

y=100/2

y=50

Finally, you can replace the value of y in (3) to find x:

x=300-50

x=250

According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.

5 0
2 years ago
A bale of fabric is 189 metres long. If lengths of 15 metres, 36 metres and 29 metres are cut off, how much fabric is left?.
Xelga [282]

Answer:

109 metres

Step-by-step explanation:

1. Do 15+36+29 which equals 80

2. Do 189-80 and u get 109

Hope this helps :3

5 0
3 years ago
Recently, six single-family homes in San Luis Obispo County in California sold at the following prices (in $1,000s): 560, 468, 6
solmaris [256]

The interval for mean sale price is $582

According to statement

The given rates are 560, 468, 685, 534, 658, 593

Now,

Sample mean = X / n

Put the values in it and then

(560+ 468+ 685+ 534+ 658+ 593) / 6 = 582.1667

and use this formula S = sqrt [ X2 - n 2 / (n-1) ]

and put the values in these and

S = sqrt [ X2 - n 2 / (n-1) ] = 95.97179

So, The interval for mean sale price is $582

Learn more about SAMPLE MEAN here

brainly.com/question/16794295

#SPJ4

6 0
2 years ago
Which statement compares the two numbers correctly?
slamgirl [31]

Answer:

Step-by-step explanation:

So, we have-

(6 x .1) + (3 x .01) + (2  x .001)

So, we will solve inside of the parenthesis first.

6 x .1  = <u>.6</u>

So, we got that settled next-

3 x .01 = <u>.03</u>

We got that settled last-

2 x .001 = <u>.002</u>

Lastly, we add them all.

.6 + .03 + .002 =  .632

Now we compare.

.632 > .629

So, there is your answer!

Hope this helps!

7 0
2 years ago
Any help if possible Thank you ❤
Mariana [72]
v =  \frac{1}{3} \pi {r}^{2} h \\ r = 8 \: cm \\ h = 15 \: cm
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:
v =  \frac{1}{3} \pi {r}^{2} h \\ v =  \frac{1}{3} \pi {(8)}^{2} (15) \\ v = 320\pi
The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.
3 0
3 years ago
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