Janet can make 3/5

On a map, 1 inch equals 10 miles. Two cities are 6 inches apart on the map. What is the actual distance between the cities?

valentina_108 [34]

Answer:

The answer is 60 miles.

Step-by-step explanation:

Each inch is 10 miles and there are 6 inches. This means that the cities and 60 miles apart.

8 0

3 years ago

Read 2 more answers

A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that

marta [7]

Answer:

Initially, we had:

100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)

This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8

Then the mass of seeds, x, can be calculated as:

x/100g = 0.8

x = 0.8*100g

x = 80g

We also have another mixture, that is 5% seed (or 0.05 in decimal form)

This means that in X grams of this mixture, there will be y grams of seeds, such that:

y/X = 0.05

y = 0.05*X grams

Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).

Let's do this.

If we add X grams of the 5% mixture, the total mass will be:

M = 100g + X.

The total mass of seeds will be:

m = 80g + X*0.05

and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4

m/M = 0.4

(80g + X*0.05)/(100g + X) = 0.4

Let's solve this for X.

(80g + X*0.05) = 0.4*(100g + X)

80g + X*0.05 = 40g + X*0.4

80g - 40g = X*0.4 - X*0.05

40g = X*0.35

40g/0.35 = X = 114.2g

If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)

If we add 114g, like Tom wants, we will have:

M = 100g + 114g = 214g

m = 80g + 0.05*114g = 85.7g

m/M = 85.7g/214g = 0.4005

This is a really good aproximation, if we write this in percentage form this would be:

0.4005*100% = 40.05%

8 0

3 years ago

it is given that the x intercept and y intercept of a straight line L are 3 and 5 respectively. If L passes through P(k, 10) fin

statuscvo [17]

Answer:

k=-3

Step-by-step explanation:

Equation of a line

The general equation of a line can be written as:

Ax+By=C

The x-intercept is the point where the line crosses the x-axis, i.e. y=0, thus replacing x=3 and y=0:

A(3)+B(0)=C

3A=C

Solving for A:

A=C/3

The y-intercept is the point where the line crosses the y-axis, i.e. x=0, thus replacing x=0 and y=5:

A(0)+B(5)=C

5B=C

Solving for B:

B=C/5

Replacing into the general equation:

$\displaystyle \frac{C}{3}x+\frac{C}{5}y=C$

Simplifying by C:

$\displaystyle \frac{x}{3}+\frac{y}{5}=1$

The point P(k,10) belongs to the line, thus:

$\displaystyle \frac{k}{3}+\frac{10}{5}=1$

Operating:

$\displaystyle \frac{k}{3}+2=1$

$\displaystyle \frac{k}{3}=-1$

Multiplying by 3:

$\boxed{k=-3}$

7 0

3 years ago

Name the place value of highlighted digit 35.052

DanielleElmas [232]

The highlighted 5 in 35.052 is in the hundredths place.

3 0

3 years ago

Read 2 more answers

Los nutriólogos recomiendan que una persona debe tomar en promedio 2.5 litros de agua en un día, para que esté bien hidratada. ¿

Goshia [24]

the question in English

Nutritionists recommend that a person should drink an average of 2.5 liters of water in a day, to be well hydrated. How many liters of water should a person drink in a month to comply with a good hydration (Consider a month equal to 30 days) Formulate an algebraic expression to determine the total liters of water that a person should drink a given number of days.

Let

x-------> the number of days

y------> the total liters of water

we know that

$y=2.5x$ ------> algebraic expression to determine the total liters of water that a person should drink a given number of days

For x=30 days (1 month)

substitute in the formula

$y=2.5*30=75\ liters$

therefore

the answer is

$75\ liters$

7 0

3 years ago