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200 grams of sterling silver is needed to make the 91℅ alloy

An equation is mathematical expression that contains an equals symbol. Equations are contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.

given, x + y =500

The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams.

The pure silver is given in percentage forms.

Hence, 92.5% (x) + 90% (y) =91% (500)

Substitute y by 500−x in the last equation to write

92.5% (x) + 90% (500−x) =91% (500)

Simplify and solve

92.5x+45000−90x=45500

x=200 grams.

Hence, 200 grams of Sterling Silver is needed to make the 91% alloy.

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Answer:

x² + y² = 49

Step-by-step explanation:

The equation for a circle is: x² + y² = r²

here, we know our circle's radius (r) to be 7

So, the equation for our circle is:                  {replace "r" with value}

x² + y² = 7²

which can be simplified to:

x² + y² = 49

hope this helps!! have a lovely day :)

The maximum salary reached in 5th month.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant

For the first year, salary  = 1,200,000

For the second year, salary

= 1,200,000 + 75,000 = 1,275,000

For the last year, salary  = 1,500,000

We get the AP as

1,200,000,  1,275,000, .... ,  1,500,000

a= 1,200,000  and d = 75000

Now using

L = a + (n - 1)d

1,500,000 = 1,200,000 + (n-1) 75,000

300,000 = 75,000(n-1)

300000/75000= n-1

4= n-1

n= 5

Hence, in the 5th year the maximum salary will be reached.

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The graph would be the normal parent function of f(x) but all points would be 6 units up.

There's an upward vertical shift of 6. To graph this, you need to graph the function f(x) and then add 6 units to all the y values.

Answer:

y = 3x - 5

Step-by-step explanation:

We know that the equation 'y = 3x + ?' intersects the point (1, -2). This means that when x = 1, y = -2 in out equation above. To solve this just plug in the x and y values to get '?'.

[tex]y = 3x + ?\\-2 = 3(1) + ?\\-5 = ?[/tex]

Now that we know '?' is -5, we write it back into slope intercept form, so our final answer is y = 3x - 5

Answer:

∠ ABD = 20°

Step-by-step explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD ( substitute values )

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°

Answer:

48 in²

Step-by-step explanation:

triangle = bh/2

triangle = 24 x 4 / 2

triangle = 48 in²

Answer:

if 60 is 30%, then add up to 100%

60+60+60= 180

but we still have 10% left so divide 30% by 3 to get 10% then add

30% (or 60) /3 is 20

add 20 to 180

boom you get 200 she bought 200 oranges i wonder how shes gonna fit them in her car that's a lot of oranges

Answer:

200

Step-by-step explanation:

To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:

30 ∗ x÷100

 =  60  

To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 200. Therefore, the answer to 60 is 30 percent of what number? is:

200

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

The direct proportion is shown by table (B)

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Here the second table shows the direct proportion relation.

This is because the ratio of x/y remain same.

4/2= 7/3.5= 10/5= 11/5.5= 15/7.5 = 2/1

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The correct answer is option A which is the equations which represent relationship  between c and f is c = 7 / 3f.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

From the given data we can see that the amount of flour required is [tex]9\dfrac{1}{3}\[/tex] Cups or [tex]\dfrac{28}{3}[/tex] Cups for making 4 cakes.

So the expression will be written as:-

[tex]9\dfrac{1}{3}f = 4c[/tex]

[tex]\dfrac{28}{3\\}f = 4c[/tex]

[tex]c = \dfrac{28}{3\times 4}f[/tex]

c = [tex]\dfrac{7}{3}[/tex]f

Therefore the correct answer is option A which is the equation that represents the relationship between c and f is c = 7 / 3f.

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Answer:

Acute, right angle, obtuse, reflex

Step-by-step explanation:

Answer:

Acute

right angle

obtuse

reflex angle

Step-by-step explanation:

Answer:

pi/6

Step-by-step explanation:

honestly just do it in a calculator that is set to radians.

Step-by-step explanation:

Given :

1- cosA = 1/2

or, CosA = 1 -1/2

Therefore ; CosA = 1/2 = b/h

According to the Pythagoras theorem,

P = root under h^2 - b^2

= root under (2)^2 - (1)^2

= root under 4 -1

= root 3

Again,

SinA = P/h

= root 3 / 2

Answer:-1/4

Step-by-step explanation:

Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x

Answer:

Linear

Step-by-step explanation:

pretty self explanatory

Answer:

The linear parent function Step-by-step

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable.

Hope your having a great day!!

Answer:

C. Line PQ

Step-by-step explanation:

Tangent means touching, not crossing.

-5/7 x 1/5

-5 x 1 = -5

7 x 5 = 35

-5/35 = -1/7

Happy to help :P

Answer:

.833 (83.3%)

Step-by-step explanation:

There are 6 numbers on a normal die. 5 of them are larger than 1. The odds would be 5/6

Answer:

  n = 61

Step-by-step explanation:

The subscripted values of x and y in the formula refer to the coordinates of the points:

  [tex](x_1,y_1)=(-3,-2)\qquad(x_2,y_2)=(2,4)[/tex]

Substitute the given values and do the arithmetic.

__

Using these values in the formula gives ...

  [tex]d=\sqrt{n}=\sqrt{(2-(-3))^2+(4-(-2))^2}=\sqrt{5^2+6^2}=\sqrt{25+36}\\\\d=\sqrt{n}=\sqrt{61}\\\\\boxed{n=61}[/tex]

Distance

√n=√61

n=61

Answer:

y = 1/2 x - 4

Step-by-step explanation:

point slope form would be

( y - - 3) = 1/2 (x-2)       you can re-arrange as

y = 1/2x -4

The weight of the full steel bead tire in pounds is 1.76 pounds

The weight of the lighter steel bead tire in pounds is 1.54 pounds.

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

The weight of the full steel bead tire in pounds = 800 / 453.592 = 1.76

The weight of the lighter steel bead tire in pounds = 700 / 453.592 = 1.54

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Answer:

-5x-24

Step-by-step explanation:

3(2x-8)-11x

Use distributive property.

6x-24-11x.

Combine like terms.

6x-11x-24=-5x-24

-5x-24

Hope this helps!

If not, I am sorry.

Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3, then combine like terms.

= 6x - 24 - 11x

= -5x - 24

Answer:

$2,999

Step-by-step explanation:

Answer:

18-10-1

7

Step-by-step explanation:

please mark me as brainlest

Answer:

18-7+3-1

18-10-1

18-11

+7 or 7

Step-by-step explanation:

we have first done of bracket

then as we know minus and minus is equal to plus

then we have done our solution

thank you

Answer:

Angles G and H are congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

62/235 +95/383

Step-by-step explanation:

P(satisfied or junior)= P(satisfied participant that are junior) + P(junior participant)

P(satisfied or junior)= 62/235 + 95/383

P(satisfied or junior)= 46071/90005

Answer:

ln(x)

Step-by-step explanation:

ln(x) can be rewritten as e^ln(x)=x. so if e^ln(1)=1 the exponent is just 0. because anything to the power of 0 is 1 according to the Zero Exponent Rule

Answer:

The answer is option 3 and option 4

Step-by-step explanation: