Marie bought 1/2 gallon of milk, which she finished after 6 days, If she drank the same amount of milk each day, how many gallons in a day did she drink?​

again, we're assuming that both triangles are similar, and thus using proportions.

[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

Answer:

[tex]\left \{ {{x = -15} \atop {y=3}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right. <=> \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right. <=> \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\<=> \left \{ {{x = -5y } \atop {-7y = -21}} \right. <=> \left \{ {{x = -5y} \atop {y= 3 }} \right. <=> \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.[/tex]

Answer:

4

Step-by-step explanation:

Looking at the fractions, -3/4 and 1/2 and 1/4, you can see the LCD or least common denominator is 4.

Thus you get -3, 2, and 1 respectively by multiplying each fraction by 4.

Answer:

$56.70

Step-by-step explanation:

45 x 6% = 2.7 Multiply price of meal with the percentage of sales tax

45 x 20% = 9 Multiply price of mean with the percentage of tip

$9 is the tip amount

$2.70 is the sales tax

$45 + $2.70 + $9 = $56.70. Add the price of the meal with the sales tax and tip amount to get the total cost of the meal.

Answer:

I am stuck on the same question please comment if someone answers

Answer:

3

Step-by-step explanation:

Okay so 18 chairs were used more for 6 more rows so each row has 3 length.

x = 3

Now this makes no sense, because I don't know why you would leave 6 chairs if you only have 3 chairs for each row but....(Hue is weird so let's not question him)

Anyways mathematically

first arrangement = 2x + 6

second arrangement = 8x - 12

2x + 6 = 8x - 12

6x = 18

x = 3

Answer:

600 in the 8% interest and 2400 in the 3% interest.

Step-by-step explanation:

600 + 8% = 48

2400 + 3% = 72

72 + 48 =120

Answer:

Step-by-step explanation:

Equivalent fractions for 1/4

From this chart, we can observe that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16,... Two fractions are said to be equivalent if their values (decimal/graphical) are the same. We usually multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.

Answer: Hello! When a graph is translated 4 units down you are moving all of the y values. This makes it the easiest translation that we do, other than no translation! All you have to do is subtract 4. Your equation is y=x2 - 4. If you wanted to move the graph up it is addition and if you want to move it down it is subtraction. When you translate right to left it is more complicated! Hope this helps.  :))

Using the information given, it is found that the linear function is given by:

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

A linear equation, in point-slope formula, is modeled by:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

Parallel to 4x - 2y = 6, which, in standard form is:

[tex]2y = 4x - 6[/tex]

[tex]y = \frac{4}{2}x - \frac{6}{2}[/tex]

[tex]y = 2x - 3[/tex]

Hence, the slope is [tex]m = 3[/tex].

Point [tex]\left(-\frac{2}{3}, 5\right)[/tex], hence, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 5 = 2\left(x + \frac{2}{3}\right)[/tex]

To learn more about linear functions in point-slope form, you can take a look at https://brainly.com/question/13967935

Step-by-step explanation:

[tex]f( x) {}^{ - 1} \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y = \frac{x}{5} \\ f(x) {}^{ - 1} = \frac{x}{5} [/tex]

Answer: The value of 5/6 is 5 and the value 7/11 is 7.

Step-by-step explanation:

The standard deviation of the grade points average of the college seniors is 0.57.

The given parameters:

3.2, 1.9 ,2.7, 2.4, 2.8, 2.9, 3.8, 3.0, 2.5, 3.3, 1.8, 2.5, 3.7, 2.8, 2.0, 3.2, 2.3, 2.1, 2.5, 1.9

The sum of the given data is calculated as follows;

∑x = 3.2 + 1.9 + 2.7 +  2.4 + 2.8 + 2.9 + 3.8 + 3.0 +  2.5 + 3.3 + 1.8 + 2.5 + 3.7 + 2.8 + 2.0 + 3.2 + 2.3 + 2.1 + 2.5 + 1.9

∑x = 53.3

The mean of the distribution is calculated as follows;

[tex]\bar x = \frac{\Sigma x}{N} \\\\\bar x = \frac{53.3}{20} \\\\\bar x = 2.665[/tex]

The square of the difference between the grade point and the mean;

[tex]\Sigma (x - \bar x)^2 = (3.2- 2.665)^2 + (1.9-2.665)^2 + (2.7- 2.665)^2 + (2.4-2.665)^2 \\\\+(2.8-2.665)^2 +(2.9 - 2.665)^2 + (3.8 - 2.665)^2 + (3-2.665)^2+ \\\\(2.5 -2.665)^2 + (3.3 - 2.665)^2 + (1.8-2.665)^2 + (2.5 - 2.665)^2 + \\\\(3.7-2.665)^2 + (2.8 - 2.665)^2 + (2-2.665)^2 + (3.2-2.665)^2 + \\\\(2.3 - 2.665)^2 + (2.1-2.665)^2 + (2.5-2.665)^2 + (1.9 - 2.665)^2\\\\\Sigma (x - \bar x)^2 = 6.5055[/tex]

The standard deviation of the grade points is calculated as follows;

[tex]\sigma = \sqrt{\frac{\Sigma (x-\bar x)^2}{N} } \\\\\sigma = \sqrt{\frac{6.5055}{20} } \\\\\sigma = 0.57[/tex]

Thus, the standard deviation of the grade points average of the college seniors is 0.57.

Learn more about standard deviation here: https://brainly.com/question/12402189

Answer:

about two clams per person

Step-by-step explanation:

Answer:

It is 1.5 lb per serving.

Step-by-step explanation:

Well, this is just a matter of proportions.

Here is our current proportion:

150lb

---------

100 guests

Now, all we need to do is make it per one guest.

150lb     =      x lb

-----------      ---------------

100 guests = 1 guest

Now, to get from 100 to 1, I divided by 100, right?

So, because this is a ratio, and it needs to be proportional, we do the same for 150.

150/100=1.5.

It is 1.5 lb per serving.

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

Answer:

the integer is 5

Step-by-step explanation:

x^2+3(x+1)=43

x^2+3x+3=43

x^2+3x+(9/4)=43-3+(9/4)

(x+(3/2))^2=42 1/4

x+(3/2)=sqrt(42 1/4)

x+(3/2)=6 1/2

x=(6 1/2)-(3/2)

x=5

check:

5^2+3(6)=43

25+18=43

43=43

Answer:

5

Step-by-step explanation:

let positive integer be x

x² + 3(x+1)=43

x²+3x+3-43=0

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x+8) - 5(x+8)=0

(x-5)(x+8)=0

x-5=0 or x+8=0

x=5. or x=-8

but the question says positive integer,

therefore, x=5

Answer:

304 and 512

Step-by-step explanation:

Answer:

6 more cupcakes.

Step-by-step explanation:

60% of 15 is 9, so 15-9 is 6.

The number of cupcakes needed to get the order to 100% is 6 cupcakes.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

60% = 9 cupcakes

Multiply 100/60 on both sides.

100/60 x 60% = 100/60 x 9 cupcakes.

100% = 5 x 3 cupcakes

100% = 15 cupcakes

Thus,

6 more cupcakes are needed.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Answer:

The answer is >

Step-by-step explanation:

11/2 as a percentage is equal to 550% which is greater than (>) 55%

Answer:

2) x=60

Step-by-step explanation:

x/6=10

multiply both sides by 6

x = 10*6

x=60

hope this helps! :D

have a miraculous day!! <3

Answer:

2) x = 60

Step-by-step explanation:

x/6=10

multiply both side by 6

x = 10*6

x = 60

✌️❤️✌️

The missing numbers in the multiplication table are 49, 48 and 56 respectively

Given:

35

42

?

35 = 7 × 5

42 = 7 × 6

? = 7 × 7 = 49

40

?

?

40 = 8 × 5

? = 8 × 6 = 48

? = 8 × 7 = 56

Therefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively

Learn more about multiplication:

https://brainly.com/question/10873737

Answer:

1000

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

Answer:

any number between the two

for example: 0.1309, 0.1308, 0.1301, etc.

Step-by-step explanation:

hope this helped :)

Step-by-step explanation:

0.1308, 0.1309, 0.1301

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

Answer:

$295

Step-by-step explanation:

2950 · 0.10 =  295

Answer:

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

Look at the front side of the building. It's a triangle, with the height given. We can see a right triangle here which means we can use the Pythagorean theorem. a^2 + b^2 = c^2 (a and b are the shorter sides called legs and c is the longest side called the hypotenuse)

20^2 + 13^2 = c^2

400 + 169 = c^2

569 = c^2 square root both sides

Sqrt 569 is approximately 23.85 ft. This is the length from the roof peak down the front edge to the bottom front right corner in the image.

Now, if we consider the roof itself. That edge is now a leg (on the front face it was the hypotenuse). The other leg is the 35 ft width given. So we'll use pythagorean theorem again to find the diagonal

23.85^2 + 35^2 = c^2

568.8 + 1225 = c^2

1793.8 = c^2

Square root both sides of the equation.

Sqrt 1793.8 = c

42.35 ft = c

The diagonal of the roof is just over 42 feet, that is 42.35 feet.

Answer:

-5

Step-by-step explanation:

Use the slope triangle I mentioned in a previous question

Answer:

b 16 adult is - 40 people end of day

Answer:

HH sheikh Zayed road Dubai UAE Tel Aviv university of California Berkeley