1) Consider the relationship between the height of a plant and time. Time would be considered which of the following?

In the diagram below segment DEF is shown(since all three letters are shown, they are collinear). If DE=3x+2, EF= x+5, and DF= 2

amm1812

The value of $x$ is 4.

By Geometry, we know that line segment $DF = DE + EF$ , which is equivalent to:

$DF = 3\cdot x + 2 + x + 5$

$DF = 4\cdot x + 7$ (1)

Now we solve algebraically the resulting expression.

If we know that $DF = 23$ , then we solve the equation for $x$ :

$4\cdot x + 7 = 23$

$4\cdot x = 16$

$x = 4$

The value of $x$ is 4.

We kindly invite to see this question on line segments: brainly.com/question/23297288

6 0

2 years ago

Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, a

frutty [35]

x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.

Step-by-step explanation:

Given,

Number of banana breads and nut breads to bake = at most 30

At most 30 means the amount cannot exceed 30.

Selling price of each banana bread = $2.50

Selling price of each nut bread = $2.75

Amount to make = $44 at least

At least 44 means that the amount cannot be less than 44.

Let,

x represent the number of loaves of banana bread to be sold

y represent the number of loaves of nut bread to be sold

x+y≤30

2.50x+2.75y≥44

x+y≤30 and 2.50x+2.75y≥44 are the inequalities that model given situation.

Keywords: linear inequalities, addition

Learn more about linear inequalities at:

#LearnwithBrainly

5 0

3 years ago

Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic the

yKpoI14uk [10]

Answer:

The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.

When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.

Step-by-step explanation:

a) Data and Calculations:

Food Clothes Housing Energy High Quality 100

Proof Moonshine

Farmer 0.25 0.15 0.25 0.18 0.20

Tailor 0.15 0.28 0.18 0.17 0.05

Carpenter 0.22 0.19 0.22 0.22 0.10

Coal Miner 0.20 0.15 0.20 0.28 0.15

Slacker Bob 0.18 0.23 0.15 0.15 0.50

Total 1.00 1.00 1.00 1.00 1.00

6 0

3 years ago

Directions: Match the product and quotients estimates below with the correct expression on the left

prohojiy [21]

Answer:

Answer is in attached image.

Step-by-step explanation:

Given the expressions, for which we have to find the estimates as per the expressions on the left.

The given expressions are:

1) 35 $\times$ 23

2) 132 $\div$ 168

3) 17.3 $\times$ 18.4

4) 999 $\div$ 208

5) 998 $\times$ 211

Here, we need to find the rounded off numbers.

35 can be rounded to 40 and 23 to 20.

Therefore, equivalent to 35 $\times$ 23 is 40 $\times$ 20

132 can be rounded to 130 and 168 to 170.

Therefore, equivalent to 132 $\div$ 168 is 130 $\div$ 170.

17.3 can be rounded to 17.0 and 18.4 to 18.0.

Therefore, equivalent to 17.3 $\times$ 18.4 is 17.0 $\times$ 18.0.

999 can be rounded to 1000 and 208 to 210.

Therefore, equivalent to 999 $\div$ 208 is 1000 $\div$ 210.

998 can be rounded to 1000 and 211 to 210.

Therefore, equivalent to 998 $\times$ 211 is 1000 $\times$ 210.

The solution can be found in the attached image as well.

8 0

3 years ago

The length of the minute hand is 150% of the length of the hour hand. In 2 hours, how much farther does the tip of the minute ha

nekit [7.7K]

The question seems incomplete, as the length of the hour hand isn't given ;

If the tip of the hour hand is taken as 30mm

Answer:

534.1 mm

Step-by-step explanation:

In 2 hours ; cycle performed :

2/ 12

Circumference of a circle = 2 * pi *r

Circumference = 2 * pi * 30 = 60pi

Distance traveled : 60pi * 2/12 = 120pi/ 12 =10pi

The minute hand travels 2 comply cycle in 2 hours

150% taller than short hand :

1.5 * 30 = 45 mm

Distance traveled : 2 (2 * pi * 45) = 180pi

(180pi - 10pi) = 170pi

170π = 534.07075

= 534.1 mm

7 0

3 years ago