Here is Ibrahim's recipe for breakfast.
200 ml of milk
50g of oats
30g of barley
40 g of raisins
If he uses 300 ml of milk, how many grams of barley does he need?

1. y= 2x

2.  (0, 5)

3. y  = 3x + 12

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

1. let us take (0,0) and (1, 2)

m= 2-0/1-0

m= 2

So equation of line

y- 0 = 2(x-0)

b

2. y= 3x+5

passes through (0, 5)

3. y= 3x+5

  m = 3

We need the equation of a line with slope 3 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

y - 12 = 3x

y  = 3x + 12

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Answer:

its b)

Step-by-step explanation:

explained in the comments of second answer⬇️

Answer:

#1 s=-133/5

#3 a. b=-4

#3 b. x=23.45

#3 c. p=201

Step-by-step explanation:

#1 −5(s+30)=−17

Step 1: Simplify both sides of the equation.

−5(s+30)=−17

(−5)(s)+(−5)(30)=−17(Distribute)

−5s+-150=−17

−5s−150=−17

Step 2: Add 150 to both sides.

−5s−150+150=−17+150

−5s=133

Step 3: Divide both sides by -5.

−5s−5=133/−5

s=−133/5

#3 a. \(-\frac{1}{2} (b-6)=5\)

Step 1: Multiply both sides by 2

\((-\frac{1}{2} (b-6))(-2)=5(-2)\)

Step 2: Simplify

b-6=-10

Step 3: Add 6 to both sides

b-6+6=-10+6

Step 4: Simplify

b=-4

#3 b. 0.4t(x-0.45t)=9.2

Step 1: Divide both sides by 0.4

\(\frac{0.4t(x-0.45t)}{0.4} =\frac{9.2}{0.4}\)

Step 2: Simplify

x-0.45=23

Step 3: Add 0.45 to both sides

x-0.45+0.45=23+0.45

Step 4: Simplify

x=23.45

#3 -4(p-212)=44

Step 1: Divide both sides by -4

\(\frac{-4\left(p-212\right)}{-4}= \frac{44}{-4}\)

Step 2: Simplify (there is way more to this step than I am putting)

p-212=-11

Step 3: Add 212 to both sides

p-212+212=-11+212

Step 3: Simplify

p=201

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

If I did this right it should be: A)720g flour B)(i) 480g (ii) 2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5*2=10

10+1=11

Answer:

2x - 1 = 11

2x = 11 + 1

2x = 12 (divide both sides by 2 to get x)

2x/2 = 12/2

x = 6

Step-by-step explanation:

im not 100% sure

Answer:

Use Pythagoras theorem to find the length of the square

c2-b2=a2

84.33 x 84.33 - 81.66 x 81.66 = a2

a= square root of 443.19

a= 21.052

Area of square = l x l

= 21.052 x 21.052

=443.19

Round it off to nearest hundred:

Ans) 400 cm2

Answer:

443.19 square cm

Step-by-step explanation:

Use the Pythagorean Theorem to find the missing leg of the triangle, a, which is also the length of the square.

b = 81.66 and c = 84.33

\(a^{2} +81.66^{2} =84.33^{2} \\a^{2} +6668.3556 = 7111.5489\\a^{2} +6668.3556-6668.3556=7111.5489-6668.3556\\a^{2} =443.1933\\\sqrt{a^{2} } =\sqrt{443.1933} \\a=21.052\)

Now you can find the area of the square, since you know the length is 21.052.

\(a =s^{2} \\a=21.052^{2} \\a = 443.19\)

Answer is rounded to the nearest hundredth

Answer:

They will be able to spend $2,253.65 on their trip.

Step-by-step explanation:

Using the formula A = P(1 + r/n)^(nt), where:

P = $2,000 (initial deposit)

r = 0.04 (4% annual interest rate)

n = 4 (interest is compounded quarterly, so 4 times per year)

t = 3 (they want to use the money in 3 years)

We have:

A = 2000(1 + 0.04/4)^(4*3)

A = 2000(1 + 0.01)^12

A = 2000(1.01)^12

A = 2000(1.12682503013)

A = $2,253.65

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Answer:

6.25

Step-by-step explanation:

It is given that:

A recipe for guacamole uses 12% lime juice.  

This means that:

A recipe for guacamole uses 0.12 lime juice.

This means that:

1 cup of lime juice= 1/0.12 guacamole.

Also,

a batch contains 0.75 cup of lime juice.

This means that:

0.75 cups of lime juice=0.75/0.12 guacamole.

i.e.

0.75 cups of lime juice=6.25 guacamole.

Hence, one batch = 6.25 guacamole.

Hope that helps. Brainliest is greatly appreciated

Answer:

Multiply 2 by 9, and then 2 by 11, and add it up all together. 18+22=40

Step-by-step explanation:

Step-by-step explanation:

I hope this helps you have a great day

Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = \(\frac{3}{10}\)

Remaining distance =\(1-\frac{3}{10}=\frac{7}{10}\)

They traveled 3/7 of the remaining distance on Sunday.

So, Distance traveled on Sunday =\(\frac{3}{7}(\frac{7}{10})\)

Distance traveled on Sunday =\(\frac{3}{10}\)

Fraction of the total distance to her grandmother's house was traveled on Sunday =\(\frac{3}{10}\)

Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday

Answer:

√50 is between √49 and √64. Since 50 is closer to 49, we estimate that √50 ≈ √49 = 7.

√99 is between √81 and √121. Since 99 is closer to 121, we estimate that √99 ≈ √121 = 11.

√32 is between √25 and √36. Since 32 is closer to 36, we estimate that √32 ≈ √36 = 6.

√146 is between √121 and √169. Since 146 is closer to 169, we estimate that √146 ≈ √169 = 13.

√40 is between √36 and √49. Since 40 is closer to 36, we estimate that √40 ≈ √36 = 6.

Step-by-step explanation:

Step 1:  Answer the question

They are independent because the cards are always going to stay the same.  If each card that was picked and discarded, that would alter the future which would make it dependent.  But... since it doesn't change the cards, it is independent.

Answer: independent

Answer:

Independent

Step-by-step explanation:

Since the second selection is made after replacement, the options are exactly the same as the first selection. Therefore the second selection doesn't depend on the first one. Hence, they are independent

If it was without replacement, they would have been dependent

Answer:

6t = c

Step-by-step explanation:

If there are six chairs per table, you need to find how many tables there are, after that, then you can find how many chairs you need.

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

Answer:

Your original number was actually 888. What a laugh!

Step-by-step explanation:

888 divided by 8 is 111.

111 + 8 = 119

119 x 8 = 952

Answer:

x = (c-2)/b

Step-by-step explanation:

5(c - bx) = 10

c - bx = 2

c - 2 = bx

(c - 2)/b = x

In order to have negative correlation between two variables the covariance must be negative.

What is correlation?

The degree to which two variables are linearly related is expressed by the statistical concept of correlation (meaning they change together at a constant rate). It is a typical technique for outlining straightforward connections without stating cause and effect.

The correlation between two variables x and y is,

\(r = \frac{Cov(x, y)}{S_x*S_y}\)

where,

Cov(x, y) is the covariance between x and y.

\(S_x\) and \(S_y\) respectively denotes the standard deviation of x and y.

If the correlation is negative then  r < 0.

Now r < 0

\(\frac{Cov(x, y)}{S_x*S_y} < 0\\Cov(x, y) < 0\\Sx > 0, S_y > 0\)

If r < 0 the Cov(x, y) < 0.

In order to have negative correlation between two variables the covariance must be negative.

Hence, in order to have negative correlation between two variables the covariance must be negative.

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The answer to the trigonometry question in the picture attached is:

   = cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Simplify 1-csc θ as follows:

1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)

= 1 - csc^2 θ / (1 + csc θ)

= 1 - 1/sin^2 θ / (1 + 1/sin θ)

= 1 - sin^2 θ / (sin θ + 1)

= (sin θ - sin^2 θ) / (sin θ + 1)

Simplify 1+csc θ as follows:

1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)

= 1 - csc^2 θ / (1 - csc θ)

= 1 - 1/sin^2 θ / (1 - 1/sin θ)

= 1 - sin^2 θ / (sin θ - 1)

= (sin θ + sin^2 θ) / (sin θ - 1)

Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

Simplify the expression by canceling out the sin^2 θ terms:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

Simplify further by factoring out common terms in the numerator and denominator:

cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

Finally, simplify the expression by factoring out a sin θ term from the denominator:

cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]

= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

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Solving a system of equations we can see that:

First, let's define the variables:

With the given information we can write 3 equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

Then we need to solve a system of equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

We can first replace the first equation into the third to get:

(3/4)*V + V + K = $386.4

And rewrite the second to get:

k = V + $18

And replace that in the other equation:

(3/4)*V + V + V + $18 = $386.4

Now we can solve this for V:

V*(1 + 1 + 3/4) = $386.4 - $18

V*(11/4) = $368.40

V = (4/11)*$368.40 = $133.96

Now that we know the value of V, we can replace it in:

K = V + $18 = $133.96 + $18 = $151.96

A = (3/4)*V = (3/4)*$133.96 = $100.47

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The area of the shaded portion is (16π - 32) in².

The radius of a circle is the distance from the center of a circle to any point on the circle. If you place two radii end-to-end in a circle, you would have the same length as one diameter.

In the picture attached, the circle is shown.

The area of one-quarter of the circle is given by;

\(\rm = \dfrac{1}{4}\times Area\ of \ a \ circle \\\\= \dfrac{1}{4}\times \pi \times radius^2\\\\ = \dfrac{1}{4}\times \pi \times 8^2\\\\= 16\pi \ in^2\)

The area of the triangle is given by;

\(\rm = \dfrac{1}{2} \times base\times height \\\\= \dfrac{1}{2} \times 8\times 8 = 32 \ in^2\)

The area of the shaded portion is;

Shaded area = Area of one-quarter of the circle - Area of the triangle = (16π - 32) in²

Hence, the area of the shaded portion is (16π - 32) in².

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Let's add the fractions to determine how many miles Rami run:

Therefore Rami run 2 11/24 miles. (In decimal approximation this is 2.4583 miles)

The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct

option is 50% (option 3).

Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".

According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original

wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,

development, and urbanization. Therefore, the correct answer to the question is 50%.

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The percentage of the original area of wetlands currently left in the United States is approximately 50%.

Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.

There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.

Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.

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Let:

Points of the parallelogram

We can verify that it is a parallelogram if it satisfies the following conditions:

Two pairs of opposite sides are parallel.

Two pairs of opposite sides are equal in length.

Two pairs of opposite angles are equal in measure.

The diagonals bisect each other.

One pair of opposite sides is parallel and equal in length.

Adjacent angles are supplementary.

In order to make things a little quicker we can verify the following:

And:

check below for labels,

The width of the two paths is 5 m.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

Let the width of the two paths be x.

Thus, the total area covered by the paths is = (30×x) + (40×x) - x²

The total area covered by the paths is 325 m².

Equate both of them.

⇒ (30×x) + (40×x) - x² = 325

⇒ 30x + 40x  - x² = 325

⇒ x² -70x + 325 = 0

Solving the above equation, we get

x = 65 or x = 5

The valid solution is x = 5.

Thus, the width of the two paths is 5 m.

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Given the image of the situation: Image text: A person is standing at point A looking up to the top of a radar tower located at point B. The distance from point A to point B is 150 feet. Angle 4 is formed by the horizontal line and the line from the person to the top of the radar tower.

Angle 4 is also formed by the horizontal line and the line from the top of the radar tower to the person. What is the description of angle 4 as it relates to the situation below?

The description of angle 4 as it relates to the situation below is: angle 4 is the angle of elevation from the person to the radar tower (a).Explanation: An angle of elevation is the angle formed by a horizontal line and a line of sight that is directed upward.

Therefore, in this situation, Angle 4 is the angle of elevation from the person to the radar tower. Angle 4 is the angle between the line of sight from the person to the top of the radar tower and the horizontal line drawn through the person.

Hence, the answer is option (a). Therefore, option (a) is the correct description of angle 4 as it relates to the situation in the given image.

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subtracting a positive number

4 - 2 = 2

Adding a negative number

4+ (-2) = 4 - 2 = 2

So they are not completely different operations.

Answer : FALSE