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3 years ago

1) Zach played a card game called Hearts. His scores on 7 hands of the game were

Mathematics

1 answer:

Neporo4naja [7]3 years ago

6 0

Answer: 4

Step-by-step explanation: you put the numbers in order from least to greatest and cross out the numbers on each end one by one until you get the number or numbers in the middle. If one that's the answer but if two, you add the two and divide by 2.

You might be interested in

How do I do numbers 12 to 14?

NARA [144]

Answer:

12. 1 second, 35 ft; 2 seconds, 32 ft

13. (t, y) = (1.4 seconds, 37.6 feet)

14. 37.6 ft; the vertex is the highest point

Step-by-step explanation:

12. You have properly answered question 12.

After 1 second, the height is 35 feet; after 2 seconds, it is 32 feet.

13. My method of choice is to plot the graph on a graphing calculator and let it show me the coordinates of the vertex when I highlight that point. (See attached.) The vertex is ...

(t, y) = (1.4, 37.6)

14. The graph is a graph of height when the object is launched with a vertical velocity of 45 ft/s. So, the maximum of the graph will correspond to the maximum height of the object. The vertex is that maximum point, and its y-coordinate is that maximum height.

The maximum height is 37.6 feet.

8 0

3 years ago

In this diagram, ABAC – AEDF. If the<br> area of ABAC = 6 in?, what is the<br> area of AEDF?

shepuryov [24]

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

3 0

3 years ago

Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proport

sergiy2304 [10]

Answer:

y = 25·x shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship

m = 105.25·n shows a proportional relationship

Step-by-step explanation:

An equation that shows a proportional relationship is of the form, y = kx

Where;

k = The constant of proportionality = y/x

Therefore, the equation, y = 25·x shows a proportional relationship

The constant of proportionality = k = y/x = 25

Similarly, the equation m = 105.25·n shows a proportional relationship

The constant of proportionality = k = m/n = 105.25

When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship

The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.

Therefore;

y = 25·x shows a proportional relationship

m = 105.25·n shows a proportional relationship

a = 5·x + 5 does not show a proportional relationship.

6 0

3 years ago

The Volume () of gas vanes inversely to the pressure (P). The volume of gas is 200 cm ^ 3 under pressure of 32 kg/cm^ 2 What wil

WITCHER [35]

Answer:

0.025 Kg/ cm²

Step-by-step explanation:

if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable

the equation that represents inverse proportion :

$y = \frac{b}{x}$

where b = constant of proportionality

to determine the answer in this question :

1. determine constant of proportionality

200 = k / 32

k = 6400

2. Determine the amount of pressure using the constant of proportionality

256, 000 = 6400 / pressure

pressure = 6400 / 256, 000 = 0.025

4 0

3 years ago

Which binomial is a difference of squares?

GenaCL600 [577]

D) 36x^2-81
both 36x^2 and -81 are perfect squares
difference means subtraction

7 0

3 years ago