How much lemon juice must be added to 4 litres of water to make a lemonade
solution that contains 20% lemon juice?

a. Constant speed, C =  0. 19 miles/minutes

b. The fraction representing her constant speed is  1/x miles/minutes

c. The time it takes her to drive exactly 1 mile is 5. 38 minutes

The formula for calculating constant speed is expressed as;

Constant speed = total distance covered/ total time taken

From the information given, we have that;

Now, substitute the values into the formula

Constant speed = 1. 3 / 7

Divide the values

Constant speed = 0. 19 miles/minutes

When distance 1 mile, time taken = x minutes

Constant speed = 1/x miles/minutes

If 1. 3 miles = 7 minutes

Then, 1 mile = x

cross multiply

x = 7/1. 3

x = 5. 38 minutes

Hence, the constant speed is 0. 19 miles/minutes

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It is proved that  \(tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)\)

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It has applications in fields such as engineering, physics, and navigation.

We can use the trigonometric identity:

\(tan^2(x) + 1 = sec^2(x)\)

to derive the identity:

\(tan^2(x) = sec^2(x) - 1\)

We can also use the identity:

\(sin^2(x) + cos^2(x) = 1\)

to derive the identity:

\(cos^2(x) = 1 - sin^2(x)\)

Then, substituting the second identity into the first, we get:

\(tan^2(x) = sec^2(x) - 1 = 1/cos^2(x) - 1 = (1 - cos^2(x))/cos^2(x) = sin^2(x)/cos^2(x) = tan^2(x)*sin^2(x)/(1 - tan^2(x))\)

Multiplying both sides by \((1 - tan^2(x))\), we get:

\(tan^2(x)*(1 - tan^2(x))*sin^2(x) = tan^2(x)*(1 - tan^2(x)) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) - tan^4(x)*sin^2(x) = tan^2(x) - tan^4(x) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)\)

Hence Proved

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Answer:

Step-by-step explanation:

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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Answer:

45+3.x

Step-by-step explanation:

Each person gets a haircut --> 3.15= 45

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

The null and alternative hypotheses are as follows:

H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)

H a: p > 0.23 (proportion of men who own cats is larger than 23%)

The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.

Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.

To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.

Let's calculate the p-value:

p = 0.15 (proportion of men in the sample who own cats)

n = 40 (sample size)

p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)

Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.

Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.

Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

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Answer:

47

Step-by-step explanation: if you're add 6 and 7 you get 13 so just add all the numbers and you get the answer

Answer:

\(113m^{2}\)  

I hope this helps!

Answer:

Answer to your question ; f(t) = 55 = 4t

Answer: 60 rooms

Step-by-step explanation:

because in 30 rooms is 3 hour + other 3 hour are 60 rooms. =60 rooms

Mike buys 3 oranges and 1 lemon at the

farmers market. What fraction of his

purchase were oranges?

answer :

3/4

Answer: 3/4

Step-by-step explanation:

there are a total of four purchases and three of them were purchases we can represent this with the fraction 3/4

Answer:

if it is similar it would be 19

Step-by-step explanation:

Answer:

Number of stars: 2+2+2+2+2+2

=6×2

Step-by-step explanation:

The stars are added in pairs of two. The pair that is 2+2+2+2+2 is five groups of 2 or 2 groups of five.

Since another pair of two wad added, there is one more pair. Instead of 5×2

Which means 5 groups of 4, it is not 6 groups of 2. I hope I helped you! Have a good day :3

Answer:

710

Step-by-step explanation:

Answer:

10/11

Step-by-step explanation:

Based on the equation, each girl received the following Algebra test scores:

An equation is a mathematical expression that claims that two values are equivalent.

Equations use the equation symbol (=) to illustrate the equality of two or more expressions.

Algebraically, let Alyssa's algebra test score = x

Let Jennifer's test score = x + 8

The total of their two tests = 180

x + x + 8 = 180

2x + 8 = 180

2x = 180 - 8

2x = 172

x = 86 (172/2)

Alyssa's test score = 8 points lower

Shareable points = 172 (180 - 8)

Each received 86 points from the shareable points

Alyssa's test score = 86 points

Jennifer's test score = 94 points

Check:

86 + 94 = 180

94 = 8 points greater than 86

Thus, using an equation, we can conclude that Alyssa scored 86 points on the Alegra test, which is 8 points less than Jennifer's 94 points.

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Answer:

3x3x13 and 2 x 2 x 2 x 2 x 2 x 5 x 5

Step-by-step explanation:

Answer:

10

explanation:

60 divided by 6 equals 10, you could just use the division symbol, which is a slash, as we did above. The easiest way we found to answer the question "what 60 divided by 6 means", is to answer the question with a question: How many times does 6 go into 60?

Answer:

10

Step-by-step explanation:

Answer: 1.9 x 4 [-12.94 divide 1.9 x 4] = the answer

Step-by-step explanation:

Answer:

12 2/3

Step-by-step explanation:

add the integers to get 6+3 + 4 = 13

Now subtract 1/3

13 = 12 + 1 - 1/3

but one is equal to 3/3

12 + 3/3 - 1/3

12 2/3

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer: See the diagram below.

There is an open hole at -4/5 and shading to the left

This visually describes any value that is smaller than -4/5 as stuff to the left is smaller than stuff to the right. The value -4/5 itself is not part of the solution set because we don't have "or equal to" as part of the inequality sign.

Answer:

27

Step-by-step explanation:

the

Answer:120 DEEGREES

Step-by-step explanation:

Answer:

i think it should be 36%

Step-by-step explanation:

Answer: 70

Step-by-step explanation:10x70=700+300=1,000

Answer:

of the students who live more than one mile

away, about 76% ride a bike.

Step-by-step explanation:

Answer:

i have the answer

Step-by-step explanation: