A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?

Answer:

angle X = angle Y = 66 degree

x = y = 11

Step-by-step explanation:

[tex]In\:\triangle WXY:\\

WX = WY ...(given)\\

\therefore m\angle X = m\angle Y....(1)\\

\therefore (6y-2)\degree= (4x+20)\degree....(2)\\[/tex]

By interior angle sum postulate of a triangle:

[tex]m\angle X +m\angle Y+m\angle W = 180\degree\\

\therefore (6y -2)\degree+ (4x+20)\degree+52\degree= 180\degree\\

\therefore (6y -2)\degree+ (4x+20)\degree= 180\degree-52\degree\\

\therefore (6y -2)\degree+ (4x+20)\degree= 128\degree.....(3)\\

From\: equations\: (2)\: and \: (3)\\

(4x+20)\degree+ (4x+20)\degree= 128\degree\\

\therefore (8x+40)\degree= 128\degree\\

\therefore 8x+40= 128\\

\therefore 8x= 128-40\\

\therefore 8x= 8\\

\therefore x= \frac{88}{8} \\

\huge\red{\boxed{\therefore x= 11}}\\\\

\because (6y-2)\degree = (4x+20)\degree\\

\therefore 6y - 2 = 4\times 11+20\\

\therefore 6y = 44 + 20 + 2\\

\therefore 6y = 66\\

\therefore y = \frac{66}{6}\\

\huge \purple{\boxed{\therefore y = 11}}\\

m\angle X = m\angle Y = (4x+20)\degree...(from \: 1)\\

\therefore m\angle X = m\angle Y = (4\times 11+20)\degree\\

\therefore m\angle X = m\angle Y = (44+20)\degree\\

\huge\orange{\boxed{\therefore m\angle X = m\angle Y = 64\degree}}\\[/tex]

Answer:

There are plenty of numbers that can multiply with 28 to create a perfect square.

The smallest perfect square could be created as following:

We have: 28 = 4 x 7 = 2^2 x 7 (2 and 7 are prime numbers).

=> Another 7 is left to create a perfect square.

=> The smallest one among possible solutions is 7

Check:

28 x 7 = 196 = 16^2 (valid)

Hope this helps!

:)

Answer:

5.3 multiplied by 5.3 gives you a perfect rounded square number!

Step-by-step explanation:

Answer:

1 5/12 lb

Step-by-step explanation:

This is a subtraction problem.

He started with 4 2/3 lb and used 3 1/4 lb, so you need to subtract 3 1/4 lb from 4 2/3 lb.

Notice that the fractions do not have the same denominator, so we need a common denominator and equivalent fractions.

We start with the

subtraction below

       4 2/3

  -    3 1/4

---------------

The least common denominator of 3 and 4 is 12. 12/3 = 4, and 12/4 = 3, so we get equivalent fractions with the common denominator 12.

We use the LCD to get

the subtraction below

       4 8/12

  -    3 3/12

----------------

Now we subtract the whole numbers and the fractions.

       4 8/12

  -    3 3/12

----------------

       1 5/12

Answer: 1 5/12 lb

Answer:

Step-by-step explanation:

a is the base

b is the power

c is the root

a = 7

b = 9

c = 4

Answer: There is a 90% chance you will NOT draw a lemon candy

Answer:

There is a 90% chance of drawing a candy that isn't lemon

Step-by-step explanation:

3 lemon out of 30 pieces:

3/30 = 1/10 = 10% lemon

90% other candy, 10% lemon

Answer:

No solution..

hope it will help you

Answer:

f(x) > 0 over the interval [tex](-\infty,-4)[/tex]

Step-by-step explanation:

If  f(x)  is a continuous function,  and that all the critical points of behavior change are described by the given information, then we can say that the function crossed the x axis to reach a minimum value of -12 at the point x=-2.5, then as x increases it ascends to a maximum value of -3 for x = 0 (which is also its y-axis crossing) and therefore probably a local maximum.

Then the function was above the x axis (larger than zero) from [tex]- \infty[/tex], until it crossed the x axis (becoming then negative) at the point x = -4. So the function was positive (larger than zero) in such interval.

There is no such type of unique assertion regarding the positive or negative value of the function when one extends the interval from [tex]- \infty[/tex] to -3, since between the  values -4 and -3 the function adopts negative values.

Answer:

D

Step-by-step explanation:

I took it on EDGE

Answer:

estimated sales on Wednesday is 19000 pounds.

Step-by-step explanation:

On Monday, he sold 25196 pounds. Estimated to the nearest thousand that is 25000 pounds.

On Tuesday, he sold 18023 pounds. Estimated to the nearest thousand, that is 18000 pounds

Wednesday's sales is unknown. We designate as x

All in all he sold 62409. Estimated to the nearest thousand, that is 62000

The sales on Monday, plus sales on  Tuesday, plus sales on Wednesday, must all sum up to the total sales.

25000 + 18000 + x = 62000

43000 + x = 62000

x = 62000 - 43000 = 19000

therefore estimated sales on Wednesday is 19000 pounds.

Answer: multiply to get 52.7

Step-by-step explanation: scale factor enlargement means the number they give you (6.2) the new size.

in this case would be 8.5 times 6.2  

I hope this helps!

Answer:

A sphere

Step-by-step explanation:

A cross section of a three dimensional figure is the surface or intersection of the three dimensional figure and a plane, it is the shape obtained by cutting straight through the three dimensional figure

The shape of an inclined cross section of a cube can be a triangle however, he shape of a horizontal and inclined cross section of a sphere is a circle.

Answer:

(x-7)/3

Step-by-step explanation:

x is the amount of candy

x-7 is the amount that Adam got.

(x-7)/3 is the expression for how many pices each child received.

Answer:

7 ft

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

153.86 = 3.14 r^2

Divide each side by 3.14

153.86 / 3.14 = r^2

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 = r

Answer:

C.

Step-by-step explanation:

Because when a number is next to a letter you always multiply ( t x 3 ), so the ant is walking three feet per minute which can be described as t x 3 + 6.

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answers:

a) 140, 57

b) Positive

c) 150 cm

Answer:

I think the area is 12 units.

Step-by-step explanation:

Anyone correct me if I'm wrong!

So, I started with 6 times 2 is 12 but since it's a triangle, you have to divide it by 2 . Cause if you cut a square or rectangle, it will become a triangle.

So, 6 for half of the rectangle.

Then in the middle it's a square so 2 times 2= 4.

That square is 4.

Last one would be half a square, so 2 times 2= 4. Divide it in half, you get 2.

That part is 2.

Then I think you have to add all of them, 6+4+2=12

So  I think it's 12 units??

Answer:

There are 3 shapes in the figure.

1 scalene triangle

1 equilateral triangle

1 square

the formula to find the area of a triangle is 1/2 x base x height:

Area of scalene triangle: 1/2 x 6 x 2 = 6 units^2

Area of equilateral triangle: 1/2 x 2 x 2 = 2 units ^2

Area of square: (base x height)

Area of square: 2 x 2 = 4 units^2

Then add up all the areas:

6 units^2 + 2 units^2 + 4 units^2 = 12 units^2

So the area of the entire figure is 12 square units.

pls mark brainliest if this helped :)

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)

So answer C is the right answer.

Answer:

The output will be 46.2 since the input normally is 1 and the output is 3. So multiply the input by 3 to get your output.

Step-by-step explanation:

The correct answer is 46.2

 if the input is 15.4 the answer will be 46.2.

How did i got the answer:

The output will be 46.2 since the input normally is 1 and the output is 3. So multiply the input by 3 to get your output.

Answer: 46.2

Hope this helps.

Answer:

Step-by-step explanation:

Total number of staffs = 6400 employees

If after the holiday they will decrease their staff bye 30%, the amount of staffs decreased = 30% of 6400

= 30/100 * 6400

= 1920employees.

Amount of staffs that they will have after the holiday = Total staffs - decrement

Amount of staffs that they will have after the holiday = 6400 - 1920

= 4480employees

Answer:

x= 25+20y

Step-by-step explanation:

De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:

x= 25+20y, donde

x= valor total a pagar

y= número de horas trabajadas

Answer:

when x=9 then y=6

Step-by-step explanation:

Given that the proportion is a direct proportion, the value of y when x = 9 is 6

From the question, we understand that y is directly proportional to y

This means that:

y = kx

Where k is the constant of proportionality

x = 6, when y = 4

So, we have:

4 = 6k

Divide by 6

k = 2/3

This means that:

y = 2/3x

When x = 9, we have:

y = 2/3 * 9

Evaluate

y = 6

Hence, the value of y when x = 9 is 6

Read more about direct proportion at:

https://brainly.com/question/16177263

#SPJ2

Answer:

... ...................

Answer:

the amount due for 3 hours would be $52 + ($34/hr)(3 hrs) = $154

Step-by-step explanation:

Write two equations, one for the total cost payable to Water R Us and another to Clogs:  

$52 + ($34/hr)t  =  $34 + ($40/hr)t, or

$18 = ($6/hr)t, which tells us that t = 3 (That's 3 hours).

At the time the charges from the two companies would be the same (3 hours into the job), the amount due for 3 hours would be

$52 + ($34/hr)(3 hrs) = $154

Answer:

-5/3  =  m

Step-by-step explanation:

Don't you mean (4, -1) and (1, 4)?  If so, if we start with (1, 4) and move to (4, -1), then x (the "run") increases by 3 and y (the "rise") decreases by 5.  Then the slope is m = rise / run = -5/3  =  m

Answer:

15.59

Step-by-step explanation:

The answer is 15.59 because to find the area of an equilateral triangle, you need to multiply the height by the length. In this scenario, the length is 6, and we need to find the height. Since we know that all of the sides of the equilateral triangle are 6, we can put a line dividing the equilateral triangle exactly in half as our height. This will form 2 triangles, and each of them will have a length of 3, and a slant height of 6. They would also be right triangles. Now, with this information you can do pythageroum thereom to find the height:: 3^2 + h^2 = 6^2. So, h = √27. Now, to find the area of a triangle, you must multiply the length by the height and then divide by 2. So (6 • √27)/2 is equal to 15.5884572681, which rounded is equivalent to 15.59. So the answer is 15.59.

Answer:

w=-5

Step-by-step explanation:

Let's rewrite the equation.

10+9w=4w-10.

Next, we want variables on one side and constants on the other.

9w-4w=-10-10

Add like terms.

4w=-20

Now divide.

w=-5

Done!

Answer:

median = total observation\ no of observation

median=2+3+2+3+2+6+13\7

median=19.857

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME PLEASE

_________________________________

Hey!!!

Solution,

1. Arranging the data in ascending order:

2,2,2,3,3,6,13

N(total number of items)=7

Now,

Median=(N+1/2)th item

=(7+1/2)th item

=(8/2)th item

=4th item.

Median = 3

2. Solution,

Highest score=13

Lowest score=2

Range=highest score-lowest score

=13-2

=11

Hope it helps

Good luck on your assignment

Stay safe....

__________________________________

Answer:

Sian would receive 20 Pounds while Abigail would receive 10 Pounds.

Step-by-step explanation:

Given that Sian is twice as old as her sister Abigail, it means that if Abigail's age is T years then Sian's age would be 2T years.

If they divide 30 pounds in the ratio of their ages, the ratio of their ages will be

T : 2T (Ratio of Abigail's gae to Sian's age)

The amount received by Abigail

= T/(T + 2T) × 30

= T/3T × 30

= 1/3 × 30

= 10 Pounds

The amount received by Sian

= 2T/(T + 2T) × 30

= 2T/3T × 30

= 2/3 × 30

= 20 Pounds

Answer:

a = 24 inches

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 26^2

a^2 + 100 = 676 ////// -100 both sides

a^2 = 576

a = 24 /////UNITS!

a = 24 in.

Answer:

imma have to get back to u on that one