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3 years ago

7

Explain why 0.4×10=4 helpppppppppppppp meeee

1 answer:

Anton [14]3 years ago

6 0

4/10= 0.4

So if 0.4x10=4, That means that 4. Is 4/10 of 10.

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The following graph shows the cost c, in dollars, of p pounds of strawberries at a local grocery store.

lorasvet [3.4K]

Answer:

A. The ordered pair (5, 3.5) represents 5 lbs. of strawberries cost $3.50.

B. The cost per pound of strawberries is shown at (1, 0.7).

C. The relationship shown in the graph is a direct variation because as the pounds of strawberries increase, the cost also increases.

Explanation:

A. The coordinate is in (x,y). The x-axis represents the pound of strawberries and the y-axis represents the cost of the strawberries.

B. The cost for one pound of strawberries can be calculated to find the exact value of y (cost) when x is 1. The graph shows 5 lbs. of strawberries cost $3.50 so divide $3.50 by 5 lbs. to find the cost per pound of strawberries. 3.5 ÷ 5 = 0.7. On the graph, the cost for one pound of strawberries is at (1, 0.7)

C. A direct variation in a graph is shown when both x and y increase or decrease together. In this case, as the pounds of strawberries increase, the cost of the strawberries also increases.

6 0

3 years ago

Jessica fills a cube shaped tank that has an edge of 70 cm with water from a tap. Water flows into the tank at a rate of 7L per

daser333 [38]

The volume of the tank is (70 cm)³ = 343,000 cm³.

Now,

1 mL = 1 cm³

1 L = 1000 mL

so we convert the given rate to

$\dfrac{7\,\rm L}{1\,\rm min} \cdot \dfrac{1000\,\rm mL}{1\,\rm L} \cdot \dfrac{1\,\mathrm{cm}^3}{1\,\rm mL} = \dfrac{7000\,\mathrm{cm}^3}{1\,\rm min}$

Then the time it will take to fill up the tank is

$343,000\,\mathrm{cm}^3 \cdot \dfrac{1\,\rm min}{7000\,\mathrm{cm}^3} = \boxed{49\,\rm min}$

6 0

1 year ago

For his long distance phone service, Hans pays a monthly fee plus cents per minute. Last month, Hans's long distance bill was .

Naya [18.7K]

Monthly fee+cents(x)=bill

7 0

3 years ago

The sum of two consecutive odd integers is 20 less than four times the smaller of the two integers. Which the following equation

Rudiy27

Answer:

consecutive = x+x+2

x+x+2 = 4x-20

2x+2=4x-20

2=2x-20

22=2x

x=11

Numbers are 11,13.

Hope this helps plz hit the crown :D

8 0

3 years ago

To solve a system of inequalities so you can graph it how do you change these two equations into something like the two that are

Zigmanuir [339]

Explanation

Problem #2

We must find the solution to the following system of inequalities:

$\begin{gathered} 3x-2y\leq4, \\ x+3y\leq6. \end{gathered}$

(1) We solve for y the first inequality:

$-2y\leq4-3x.$

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

$\begin{gathered} 2y\ge-4+3x, \\ y\ge\frac{3}{2}x-2. \end{gathered}$

The solution to this inequality is the set of all the points (x, y) over the line:

$y=\frac{3}{2}x-2.$

This line has:

• slope m = 3/2,

,

• y-intercept b = -2.

(2) We solve for y the second inequality:

$\begin{gathered} x+3y\leq6, \\ 3y\leq6-x, \\ y\leq-\frac{1}{3}x+2. \end{gathered}$

The solution to this inequality is the set of all the points (x, y) below the line:

$y=-\frac{1}{3}x+2.$

This line has:

• slope m = -1/3,

,

• y-intercept b = 2.

(3) Plotting the lines of points (1) and (2), and painting the region:

• over the line from point (1),

,

• and below the line from point (2),

we get the following graph:

Answer

The points that satisfy both inequalities are given by the intersection of the blue and red regions:

8 0

1 year ago