Clarence made a block of scented soap which weighed 2/3 of a pound. He divided the soap into 2
equal pieces. How much did each piece of soap weigh?

Answer:

3

Step-by-step explanation:

If I’m wrong sorry

But can I get brainlist

Answer:

No Solution

Step-by-step explanation:

-8x - 2(7+2x) = -6(2x+5)

-12x - 14 = -12x - 30

-14 = -30, False

No Solution

Answer:

(i) (-3/2, 3/2) and (1/2, - 3/2)

6x + 4y = - 3

(ii) Points are col linear

Step-by-step explanation:

Let the coordinates of the point(lower) be (a, b) and that of upper be (x, y).

Using mid point formula,

Mid point of diagonal(using the given points) is:

= ( (-2+1)/2 , (-1+1)/2) = (-½ , 0)

Using (a, b) and (x, y) :

= ( (a+x)/2 , (b+y)/2 ) = (-1/2, 0)

Which means, a+x= -1 & b + y = 0

Therefore, x = - 1 - a & b = - y

Using distance formula, diagonal = √(-2-1)² + (-1-1)² = √13

Knowing the relation in diagonal and side, side = diagonal/√2 = √13/√2 = √(13/2)

Again using distance formula, diagonal = √13

=> √(x - a)² + (y - b)² = √13

=> (-1-a -a)² + (-b - b)² = 13

=> a² + b² + a = 3 ... (1) [solved directly]

Length of side = √(13/2)

=> √(a-(-2))² + (b-(-1))² = √(13/2)

=> a² + b² + 4a + 2b = 3/2 ...(2)

On solving (1) and (2):

a = 1/2 or -3/2, but a lies in 4th quadrant so a > 0, thus, a = 1/2

b = -3/2 or 3/2, but b lies in 4th quadrant so b < 0, b = -3/2

Therefore,

x = - 1 - a = -1 - 1/2 = -3/2

y = - b = - (-3/2) = 3/2

Vertices are (x, y) = (-3/2, 3/2) and (a, b) = (1/2, -3/2)

Equation is just a relation in y and x, for a relation:

Subtract (1) from (2):

3a + 2b = -3/2 => 6a + 4b = - 3

By merely replacing a, b by x, y

6x + 4y = -3 is the required equation

(ii):

Ar. of ∆ = ½ | 1(3 - 5) + 2(5 - 2) + 4(2 - 3) |

Ar. of ∆ = ½ | -2 + 6 - 4 | = 0

As the area of the ∆ is 0, the given points don't form ∆, they are col linear.

Answer:

the correct answer is B

Step-by-step explanation:

got it right!!!!

Answer:

The answer is 30+7i.

Step-by-step explanation:

Imaginary Number Definition

[tex]\large\boxed{{i=\sqrt{-1}}}[/tex]

Simply evaluate like how you evaluate polynomials. Expand the expression in.

[tex]\large{(8-3i)(3+2i)=[(8*3)+(8*2i)]+[(-3i*3)+(-3i*2i)]}\\\large{(8-3i)(3+2i)=(24+16i)+(-9i-6i^2)[/tex]

Therefore, our new expression when cancelling out the brackets is:

[tex]\large\boxed{24+16i-9i-6i^2}[/tex]

Imaginary Number Definition II

[tex]\large\boxed{i^2=-1}[/tex]

Therefore, substitute or change i² to -1

[tex]\large{24+16i-9i-6(-1)}\\\large{24+7i+6}\\\large{30+7i}[/tex]

Complex Number Definition

[tex]\large\boxed{a+bi}[/tex]

Where a = Real Part and bi = Imaginary Part.

Therefore, it's the best to arrange in the form of a+bi.

Hence, the answer is 30+7i.

Answer:

6

Step-by-step explanation:

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Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08  = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

Answer:

4/36

Step-by-step explanation:

6x6=36/denominator

for second bag we need the highest Expectancies in a questionlike this so it would be 4 but for denominator we dont need highest expectancies we need a correct answer

Answer:

try c.

Step-by-step explanation:

i hope this is the answer, good luck!

Answer: 297.5

Step-by-step explanation:

Your credit history is 35% of your credit score. The highest points in credit is 850. Since you have no credit score, you would do (850)(0.35) which equals 297.5

Answer:

x = 14

Missing angles: 33° and 57°

Step-by-step explanation:

(2x + 5) + (3x + 15) = 90° (complementary angles)

Add like terms

5x + 20 = 90

5x = 90 - 20

5x = 70

x = 70/5

x = 14

✔️Plug in the value of x to find each missing angle:

2x + 5 = 2(14) + 5 = 33°

3x + 15 = 3(14) + 15 = 57°

Answer:

D.

Step-by-step explanation:

When you replace the x and y in "2x-y" with (4,-2) its going to be 2(4)-(-2) and thats going to make it greater than 3.

Answer:

Step-by-step explanation:

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

Answer:

your answer will be option A. 24/26

Step-by-step explanation:

hope it helps....

In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.

We have,

[tex]\triangle[/tex] DEF,

[tex]SinD = \frac{24}{26}[/tex]

We know that,

[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex]  and  [tex]CosE=\frac{EF}{ED}[/tex]

Using Pythagoras Theorem,

[tex]P^{2} +B^{2} =H^{2}[/tex]

i.e.

[tex]EF^2+FD^2=EF^2[/tex]

[tex]24^{2} +FD^2=26^2[/tex]

[tex]FD^2=676-576[/tex]

[tex]FD=10[/tex]

But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,

[tex]CosE=\frac{EF}{ED}[/tex]

so,

[tex]CosE=\frac{24}{26}[/tex]

So, the value of    [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.

Hence, we can say that In [tex]\triangle[/tex] DEF,  [tex]SinD = \frac{24}{26}[/tex] ,  then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .

To know more about Trigonometric ratios click here

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Answer:

See explanation below

Step-by-step explanation:

The Roman Numeral MCM means 1900.

The first M is 1000, CM means 900 ==> 1000 + 900 = 1900

9514 1404 393

Answer:

  14

Step-by-step explanation:

Use the formula with n=3.

  h(3) = h(3-2) +h(3-1)

  h(3) = h(1) +h(2)

  h(3) = -6 +20 . . . . . substitute the given values

  h(3) = 14

Answer:

a) 12/13

b) 5/13

Step-by-step explanation:

sin k = 12/13

cos k = 5/13

Answer:

the answer is .45 I am assuming

Answer:

See explanation below

Step-by-step explanation:

Domain =  [tex]-7\leq x\leq infinity[/tex]

Range = [tex]-1<y<infinity[/tex]

Domain refers to the set of x values of the graph, while range refers to the set of y values of the graph.

Answer:

4x+1

Step-by-step explanation:

Since you're finding (f+g) (x), it means you are adding f(x) and g(x) together.

so you add: (3x-1) and (x+2)

combining like terms, you get 4x and 1, which means (f+g)(x)= 4x+1

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

(f + g)(x) - f(x) + g(x) = 3x - 1 + x + 2 = 4x + 1

Answer:

A. 45

- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD

The value of y in the given diagram is 45.

Option A is the correct answer.

The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.

Corresponding angles are always equal.

We can also have alternate angles which are always equal.

We can also have alternate interior and exterior angles which are equal.

The angles on the same side make upto 180 degrees

We have,

Let the corresponding angle with y is m.

Now,

y = m

Now,

45 and m are opposite angles.

So,

m = 45

Now,

The corresponding angle with y is m.

This means,

y = m

y = 45

Thus,

The value of y is 45.

Learn more about corresponding angles here:

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Answer:

x = 39.3

Step-by-step explanation:

30^2 = 27^2 + AB^2

30^2 - 27^2 = AB^2

AB = 13.1

30÷90 = 13.1÷X

30x = 1179

x = 1179÷30

x=39.3

Answer

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Explanation

Given

[tex]a = 11500[/tex] -- initial

[tex]b = 3[/tex] ---- every 14 years

Required

The exponential equation

The exponential equation is:

[tex]y =ab^T[/tex]

First, calculate the yearly rate.

Triples every 14 years, implies that:

[tex]b = 3[/tex] -- the rate

[tex]T=\frac{t}{14}[/tex] ---- time

So:

[tex]y =ab^t[/tex]

[tex]y = 11500 * (3)^{\frac{t}{14}}[/tex]

Hence:

[tex]f(t) = 11500 * (3)^{\frac{t}{14}}[/tex]

Answer:

x = 60

Step-by-step explanation:

33 + 87 + 60 = 180

:))

Answer:

x = 60

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

i believe its A

Step-by-step explanation: