The sum of five times a number and -6 is -2.

To prepare for a bake-off, Chad used 520 grams of flour each day for 2 weeks. How many kilograms did Chad use in those 2 weeks?

Shalnov [3]

Answer:

7.280 k

Step-by-step explanation:

Given that 1 g = 0.001 k

If he uses 520 grams of flour each day for 2 weeks, since there are 7 days in a week, the total weight of flour used in two weeks

= 520 g * 2 * 7

= 7280 g

In kilograms

Since

1 g = 0.001 k

7280 g = 7280/1 * 0.001 k

= 7.280 k

3 0

3 years ago

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic

Artemon [7]

<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

$\sf{\rightarrow{d = kt}}$

$\sf\rightarrow{20 = 2k }$

$\sf\rightarrow{K= \frac{20}{2} }$

$\sf\rightarrow{K={\color{magenta}{10}}}$

<h2><u>Answer</u>:-</h2>

Therefore, the constant of variation is 10.

3 0

3 years ago

10 POINTS!!!!!!! write an equation for a line that goes through the point (-3,-4) and has a slope on -2

4vir4ik [10]

Thats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya LungsThats Metal In Ya Lungs

4 0

3 years ago

How do I solve and graph this

White raven [17]

I hope this helps you out

5 0

3 years ago

HELP!

konstantin123 [22]

Answer:

1. 10 square yards

2. $9.10

3. 36 girls

4. 20 cherries

5. 159 bracelets

Step-by-step explanation:

1.

The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).

The middle part is taken out (this is a rectangle).

View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:

Area = Area of Whole Square - Area of Middle Rectangle Taken Out

Lets calculate:

Area of Whole Square:

side * side = 4 * 4 = 16

Now,

Area of Middle Rectangle Taken Out:

Length * Width

The length is given as 3

The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2

So, area = 3 * 2 = 6

Area of figure = 16 - 6 = 10 square yards

2.

We have to find 20% of the bill.

The bill was 45.50 and we have to find 20% of 45.50.

We first convert percentage to decimal by dividing by 100:

20% = 20/100 = 0.20

Now we multiply this decimal with the bill to get our desired answer:

0.20 * 45.50 = $9.10

The tip is $9.10

3.

The ratio of boys (b) to girls (g) would be 2 is to 3.

There are 24 boys.

We can set up a ratio (fraction) with boys on top and girls on bottom.

Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:

$\frac{2}{3}=\frac{24}{g}$

To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:

$\frac{2}{3}=\frac{24}{g}\\2*g = 24*3\\2g=72\\g=\frac{72}{2}\\g=36$

There are 36 girls in sixth grade

4.

For every "9" lemon, there are "4" cherries.

There are 45 lemons

If we think of "9" lemons as a "box", how many boxes of lemons are there?

45/9 = 5

Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:

4 * 5 = 20 cherries

We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:

$\frac{Cherries}{Lemons}=\frac{4}{9}=\frac{c}{45}\\9*c=4*45\\9c=180\\c=\frac{180}{9}\\c=20$

See, we have the same answer, 20 cherries!

5.

Number sold total = 14 + 27 + 45 = 86

She still has 73 in her stock

So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:

73 + 86 = 159 bracelets

Tia started with 159 bracelets

4 0

3 years ago