What is the quotient ? StartFraction 7 Superscript negative 6 Over 7 squared EndFraction StartFraction 1 Over 7 Superscript 8 EndFraction StartFraction 1 Over 7 cubed EndFraction 73 78.

Milk, tea and pearls in the ratio of 4:3:1 -> The milk = 4x, tea = 3x and pearls = x

So, 1560g is equal to 4x + 3x + x = 8x

x = 1560 / 8 = 195
3x = 195 x 3 = 585
4x = 195 x 4 = 780

So, she used 780g of milk, 585g of tea and 195g of pearls.

Answer:

Milk= 780g

Tea= 585g

Pearls= 195g

Step-by-step explanation:

So we know that all together there is 1560g. So what we do is add the ratio numbers together which is 4+3+1. This gives us 8. Next, what we can do is how much is 1 (ratio). So we do 1560g/8. This gives us 195g. Now the last step is to multiply 195g with each ratio number given. So milk is represented as 4. So therefore milk would be 4 multiplied by 195g. This means milk= 780g. Tea = 3 multiplied by 195g. Thus, this gives us 585g. The last one which is pearls is 195g as it is multiplied by 1. To check the answer, you can add the three numbers which are 780g+ 585g+195g= 1560g.

Answer:

12:1

………………………………………………

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Answer: First Solution

Step-by-step explanation:

We can solve this by using the Quadratic Formula, which is

(-b±√b²-4ac)/2a

First off we can find the discriminant. Replacing b with 7, a with 2, and c with -5 gives us a discriminant of 89. But there are two solutions with the discriminant 89.

The second deciding factor would be finding the denominator, which is 2a. Replacing a with 2 gives us 4.

We already know the solution is the first one, but it's important to find the value of the first part of the numerator, -b. Using that we can tell that it's -7, and not 7.

Answer: #1 = 15            #2= 5

Step-by-step explanation:

3 x  5/12=  15/12

15 x  1/12=15/12

5 x 3/12=15/12

TRUST ME I'm smart

Answer:

The other factor is 5x-2

Step-by-step explanation:

Using the factorisation method:

Two numbers that multiply to give -10 and add to give +3:

+5 and -2

[tex]5x^{2} +5x-2x-2[/tex]

[tex]5x(x+1) -2(x+1)[/tex]

[tex](x+1)(5x-2)[/tex]

So the other factor is 5x-2

I'm not sure about the second part of the question but I hope you understood how to deal with the first part.

Answer:

(x - y) = 9

Step-by-step explanation:

**Note: we cannot use similar triangle proportionality, as ΔABC is NOT a right triangle**

Using Pythagoras' Theorem a² + b² = c²

(where a and b are the legs and c is the hypotenuse of a right triangle)

Create equations for both smaller interior right triangles using Pythagoras' Theorem:

Larger right triangle

   CD² + x² = 17²

⇒ CD² = 17² - x²

Smaller right triangle

   CD² + y² = 10²

⇒ CD² = 10² - y²

Equate equations:

        CD² = CD²

⇒ 17² - x² = 10² - y²

Given:

AB = 21  and AB = x + y

⇒ x + y = 21

⇒ y = 21 - x

Substitute  y = 21 - x  into  17² - x² = 10² - y²  and solve for x:

⇒ 17² - x² = 10² - (21 - x)²

⇒ 17² - x² = 10² - (441 - 42x + x²)

⇒ 17² - x² = 10² - 441 + 42x - x²

⇒ 289 = 100 - 441 + 42x

⇒ 630 = 42x

⇒ x = 630 ÷ 42

⇒ x = 15

Substitute found value for x into  y = 21 - x and solve for y:

⇒ y = 21 - 15 = 6

Finally, substitute found values for x and y into (x - y):

⇒ x - y = 15 - 6 = 9

Answer:

The answer is A because the line is in -2 negative and positive 5

Answer:

Step-by-step explanation:

Answer:

15. 10i√3

16. -1

17. 6

18. √35 - 2√5

     --------------

            3

19. x√35 - 3√7x + 4√5x - 12

20.    9√7

   -   ---------

          14

Step-by-step explanation:

15)

√-300 = √-100 × 3 = 10i√3

16)            5

i^22 = 4√22   =    i²   =   -1

             -20

             ------

                2

17)

(√7 + 1) (√7 - 1)

√7 (√7 + 1) - 1 (√7 + 1)

√49 + √7 - √7 - 1

7 - 1 = 6

18)

√5           √7 - 2          √35 + 2√5                      √35 - 2√5        √35 - 2√5

---------  x  ---------    =    ------------------             =    --------------    =   -----------------

√7 + 2     √7 - 2          √49 - 2√7 + 2√7 - 4           7 - 4                     3

19)

(√7x + 4)(√5x - 3)

√7x (√5x - 3) + 4 (√5x - 3)

√35x² - 3√7x + 4√5x - 12

x√35 - 3√7x + 4√5x - 12

20)

-√81       -9              √7         -9√7       -9√7

-------- = -------   x   -------   =  -------   =    -------

√28       2√7        √7         2√49         14

I hope this helps!

Answer:

[tex]18=y[/tex]

Step-by-step explanation:

Assuming that your equation is [tex]1x+1+15=y[/tex], you would first substitute in the 2: [tex](1*2)+1+15=y[/tex]

Next, simplify and combine like terms: [tex]2+16=y[/tex]

Finally, simplify again to get the answer: [tex]18=y[/tex]

Answer:

b) 130

Step-by-step explanation:

The total of the internal angles of any simple hexagon (six sides)  is 720°.

720 = 150+95+105+145+95+x

720= 590 + x

720 - 590 = x

130 = x

Answer:

8 celcius

Step-by-step explanation:

The slope is -8 so it is decreasing by 8

Answer:

8

Step-by-step explanation:

Use two points: (0,40) and (1,32). 40-32=8.

The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r = \dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

As it is given that the password can only be made with letters or numbers, and we know that there are only 26 letters and there are 10 numbers, therefore, the total option available is 36.

Also, it is given that the first letter of the password can only be made with letters, therefore, there are only 26 options available for the first place in the password.

The number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter,

[tex]= ^{26}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \times ^{36}C_{1} \\\\= 26 \times 31\times 31\times 31\times 31\times 31\times 31\times 31\\\\= 26 \times 31^7[/tex]

Hence, the number of 8 character passwords that can be formed using letters and digits if the password must begin with a letter is 26×31⁷.

Learn more about Combination:

https://brainly.com/question/11732255

Answer:

B. 26 times 36 superscript 7

Step-by-step explanation:

its the right answer

The equation which correctly shows the Commutative Property of Multiplication is 6 x 7/8 = 7/8 x 6

This is the property which holds when a set of operations are changed but still remain the same value.

Check all that applies:

6 x 7/8 = 7/8 ÷ 6

7/8 ÷ 6

= 8/7 × 6

No

6 x 7/8 = 6 x 7/8

Yes

6 + 7/8 = 7/8 x 6

No

6 x 7/8 = 7/8 x 6

Yes

Therefore, 6 x 7/8 = 7/8 x 6 is the answer because the values were interchanged but still remain the same.

Learn more about cummutative property:

https://brainly.com/question/2542910

Answer:

area = 132 m²

perimeter = 62 m

Step-by-step explanation:

The easiest way to calculate the area of the shape is to work out the area of the entire rectangle, then subtract the area of the 2 small (white) square:

Area of a rectangle = width x length

⇒ area = 10 x 15 = 150 m²

Area of one square = 3 x 3 = 9

Total area = 150 - 9 - 9 = 132 m²

Perimeter = (2 x 10) + 15 + (9 x 3) = 62 m

The count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex]  ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

For the given case, there are 4 digit locks, each of them can be from {1,2,3,4,5,6,7,8,9}

So each one has 9 options to choose from.

Thus, using the rule of product, we get the total possible personal identification numbers  as: [tex]9 \times 9 \times 9 \times 9= 6561[/tex]

Thus, the count of 4-digit personal identification numbers possible if the number cannot contain a zero is given by: Option B: 6561

Learn more about rule of product here:

https://brainly.com/question/2763785

Answer:58.272

Step-by-step explanation: This is the answer for maths watch

The perimeter of the shaded shape is 58.29  cm.

                             [tex]P = \pi r_1 + \pi r_2 + (d_1 - d_2)\\P = (\pi \ \frac{20}{2} ) + (\pi \ \frac{12}{2} ) +(20 -12)\\P = \pi ( 10 + 6) +8\\P = 16\pi +8\\P = 58.29 \ cm[/tex]

Thus, the perimeter of the shaded shape is 58.29 cm.

Learn more about perimeter here:

https://brainly.com/question/14965059

#SPJ2

Answer:

3,600

Step-by-step explanation:

i took the quiz

Answer:

35%

Step-by-step explanation:

7/20 = 0.35

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Answer:

Step-by-step explanation:

9 is 16.12

11 is 38.36

13 is 9

Answer:

15

Step-by-step explanation:

Sum of points divided by number of games

[tex]4\\6+[/tex]

▬

[tex]10[/tex]

10

Step-by-step explanation:

6+4=10 its just adding what Sally and timmy have

Answer:

[tex]\huge\boxed{\sf{Linear}}[/tex]

Step-by-step explanation:

Hello.

This function is linear.

Remember, linear functions look like so:

y=mx+b (where m = slope & b = y-intercept)

Is y=3x+2 linear? Sure!

Compare:

y=mx+b

y=3x+2

They look the same, huh? The only difference is that the first one has variables, and the second one has numbers. ;)

Now, what about the graph?

All linear functions have a graph that looks like a straight line.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Answer: 7.86%

Step-by-step explanation: