Gary's jogging average speed is represented by the equation y=3.5x where y is the distance in miles and x is the time in hours. How far can he go in 84 minutes?

Answer:

y = 5x

Step-by-step explanation:

Assuming you require the proportional equation

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when y = 30, x = 6 , then

30 = 6k ( divide both sides by 6 )

5 = k

y = 5x ← equation of proportion

Answer:

y = -7

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Horizontal lines have a slope of 0.

Step-by-step explanation:

Step 1: Identify

Point (9, -7)

Horizontal line

We know that a horizontal line will always have the same y values.

Step 2: Write equation

y = -7

Answer:

B/ C

Step-by-step explanation:

because it starts at 100 - the y intercept

and because it goes down 2

Answer:

The formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

Step-by-step explanation:

Given the sequence

[tex]8.7,\:8.4,\:8.1,\:7.8,\:7.5,...[/tex]

An arithmetic sequence has a constant difference d and is defined by:

[tex]\:a_n=a_1+\left(n-1\right)d[/tex]

Computing the differences between all adjacent terms:

[tex]8.4-8.7=-0.3,\:\quad \:8.1-8.4=-0.3,\:\quad \:7.8-8.1=-0.3,\:\quad \:7.5-7.8=-0.3[/tex]

The difference between all adjacent terms is the same and equal to

[tex]d=-0.3[/tex]

The first element of the sequence is

[tex]a_1=8.7[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Therefore, the nth term is computed by:

[tex]a_n=-0.3\left(n-1\right)+8.7[/tex]            ∵ [tex]d=-0.3[/tex]

[tex]a_n=-0.3n+9[/tex]

Therefore, the formula to model the arithmetic sequence will be:

[tex]a_n=-0.3n+9[/tex]

Answer:

z=1/2 and z=3/2

Step-by-step explanation:

Answer:

3. definiton of angle bisector

4. substitution property (of equality)

5. 2x+14=34

5. subtraction property of equality

6. 2x = 20

6. subtraction property of equality

Answer:

The Answers A.

Step-by-step explanation:

Answer:

Please find attached drawing created with Microsoft word, that shows the image of of the triangle ΔABC. with coordinates of the vertices as, A(2, -4), B(0, -5), and C(6, 2), translated down 2 units to give the triangle ΔA prime B prime C prime , with coordinates of the vertices as A prime (2, -6), B prime (0, -7), and C prime (6, 0)

Step-by-step explanation:

Answer:

Here u go

Step-by-step explanation:

Because yeah

Answer:

Pluto has a density of 1.86 grams per cubic centimeter

Mercury has a mass of 3375.9  kilograms

Mars has a volume of 1.6318 x 10¹¹ km³

The volume of Venus is 9.38 x 1011 km3

The Earth has a volume of about 1,083,206,916,846 cubic kilometers

volume of 15 trillion cubic miles which is 62 trillion cubic kilometers

The planet has a volume of 6.83x1013 cubic kilometers

The volume of Saturn is about 8.27 x 10 cubic kilometers.

The volume of Jupiter is 1,431,281,810,739,360 cubic kilometers

hope this helps and feel free to give brainiest

Answer:

10x^2+8x+3

Step-by-step explanation:

Add 5x^2 and 5x^2 which is 10x^2

Add 3x and 5x which is 8x

add 4 and -1 which is 3

Final answer: 10x^2+8x+3

Hope this helps!

Answer:

i do not

know the awnser but c would be 720 multiplied by its self 3 times the converted

Step-by-step explanation:

Answer:

21 years

Step-by-step explanation:

Answer:

288 lbs

Step-by-step explanation:

since it is 1/6 of the amount on the moon compare to the earth

take 48 and multiply it by 6

48x6=288

Answer:

C) (5, ∞)

General Formulas and Concepts:

Alg I

Step-by-step explanation:

According to the graph, we have a horizontal asymptote at y = 5. Therefore, the graph never actually touches/reaches the y-value 5. Therefore, 5 is not included in our range:

(5, ∞) or y ≥ 5

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

Step-by-step explanation:

Answer:

third number = 4,

equation of y, y = 5x - 11

equation of n, n = 4x

equation of x, n + x + y =19

Step-by-step explanation:

so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19

10x = 30

x = 3.

Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11

15 - 11

4 = third number

Answer:

The measure of the least side of the logo = The measure of the greatest side of the triangular = 7 cm

Step-by-step explanation:

The measure of all the sides of an equilateral triangle are equal

Therefore, the measure of each side of the logo are equal to the length of the given side length of 7 centimeters

The measure of the least side of the logo = The measure of the greatest side of the triangular = 7 cm

Answer:

4x + 12 = -4

4x = -16

x = -4

Step-by-step explanation:

Have a great day :)

Given:

An architect designs two similar triangular patios.

The first patio has angle measures of (x + 10)°, (y + 15)°, and 70°.

The second patio has angle measures of (x + 20)°, 50°, and 60°.

To find:

The values of x and y.

Solution:

We know that, corresponding angles of similar triangles are equal. So, the value of (x + 20)° must be 70°.

[tex]x+20=70[/tex]

[tex]x=70-20[/tex]

[tex]x=50[/tex]

The value of x is 50.

Now,

[tex](x+10)^\circ=(50+10)^\circ[/tex]

[tex](x+10)^\circ=(60)^\circ[/tex]

So, remaining angles must be equal, i.e., (y + 15)° and 50° are equal.

[tex]y+15=50[/tex]

[tex]y=50-15[/tex]

[tex]y=35[/tex]

Therefore, the values of x and y are 50 and 35 respectively.

The values of x and y are 50 and 35 respectively.

The corresponding angles of similar triangles are equal. Therefore,

The first patio angles are:

x + 10

y + 15

70°

The second patio angles are ;

x + 20

50°

60°

Therefore,

x + 20 = 70

x = 70 - 20

x = 50

y + 15 = 50

y = 50 - 15

y = 35

read more: https://brainly.com/question/19297980?referrer=searchResults

Answer:

The measurement of angle 3 is 45.

Step-by-step explanation:

It said line q is perpendicular. Then line m bisects that 90 degree angle and 90/2=45. Does this help?

Answer:

7.  y=42

8. y=58

If we could call on discord, zoom or anything like that i could easily explain. To type out the whole process would take all night

Step-by-step explanation:

Answer:

7.  42 degrees

8. 58 degrees

Step-by-step explanation:

Question 7

The three angles on the bottom line add up to 180.

65 + 31 + 2y = 180

2y = 84

So y = 42

Question 8

Let's start with the triangle with the 27 degree angle.

We have 27 + 90 + z = 180 (z is the top right angle)

z = 63 (which is also the bottom left angle of the triangle with the 32 degree angle).

63 + 32 + x = 180

x = 85 degrees

Now we look at the bottom polygon with the y degree angle we're trying to find.

We have one angle opposite x and another opposite z.

The angle opposite x + x = 180

The angle opposite x + 85 = 180

The angle opposite x = 95

The angle opposite z + z = 180

The angle opposite z + 63 = 180

The angle opposite z = 117

The sum of the interior angles of a polygon equals the number of sides less 2 * 180.  We have four sides, so the interior angles add up to 360.

90 + 95 + 117 + y = 360

Therefore y = 58 degrees

Answer:

She will save by borrowing from Bank B.

Step-by-step explanation:

Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.

Sample answer on edge ;)

Answer:

The amount of time Jill spent to do her homework  

= 9 1/2 hours. which equals to  570 minutes.

Which means, the amount of times Jack needed to do his is  

= 570 minutes x 1.5

= 855 minutes which equals to 14 1/4 hours

hope this helps

Answer:

Step-by-step explanation:

1) Time spent by Jack = Time spent by Jill * 1  1/2

                                [tex]= 9\frac{1}{2}*1\frac{1}{2}\\\\=\frac{19}{2}*\frac{3}{2}\\\\=\frac{19*3}{2*2}\\\\=\frac{57}{4}\\\\=14\frac{1}{4} hours[/tex]

2) Time spent by Jill = Time spent by Jack ÷  1 1 /2

                                 = 18 1/4 ÷ 1 1/2

                                 = 73/ 4 ÷ 3/2

                                 [tex]= \frac{73}{4} * \frac{2}{3}\\\\=\frac{73}{2}*\frac{1}{3}\\\\=\frac{73*1}{2*3}\\\\=\frac{73}{6}\\\\=12\frac{1}{6} hours[/tex]

3) Third number = Sum of three numbers - Sum of two numbers

Sum of two numbers = [tex]8\frac{2}{3}+8\frac{1}{6}\\[/tex]

                                   [tex]= \frac{26}{3} +\frac{49}{6}\\\\=\frac{26*2}{3*2}+\frac{49}{6}\\\\=\frac{52}{6}+\frac{49}{6}\\\\=\frac{52+49}{6}\\\\=\frac{101}{6}\\[/tex]

Third number = 22 8/15 - 101/6

                       [tex]= \frac{338}{15}- \frac{101}{6}\\\\= \frac{338*2}{15*2}- \frac{101*5}{6*5}\\\\= \frac{676}{30}- \frac{505}{30}\\\\= \frac{676-505}{30}\\\\= \frac{171}{30}\\\\=5 \frac{21}{30}\\\\= 5 \frac{7}{10}[/tex]

Answer:

Quadrant 3

Step-by-step explanation:

Quadrant 1- (Positive,Positive)

Quadrant 2- (Negative Positive)

Quadrant 3- (Negative,Negative)

Quadrant 4- (Positive,Negative)

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It is correct

Answer: Choice D

Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30.

===================================================

Explanation:

There are many ways to estimate, but this is probably the easiest since 1/2 = 0.50 = 50%, and taking half of something is fairly straightforward and quick.

Taking half of 60 is like taking half of 6, except we stick at 0 at the end.

Half of 6 is 3

Half of 60 is 30

The estimate of 55% of 64 is 30

The actual value is

55% of 64 = 0.55*64 = 35.2

which isn't too far off.

-------------------------

Extra info:

Answer:

true, false, true, false

Answer:

180 - 90 - 41 = 49

Step-by-step explanation:

Have a great day :)

Answer: 49

Step-by-step explanation:

90 + 41 + G = 180

131 + G = 180

G = 49

Answer:

length = 10.64 cm, width = 5.64 cm, and height = 5 cm.

Step-by-step explanation:

Total volume of dice that filled the box = (150 x 2) cm³

                                         = 300 cm³

Let the length, width and height of the box be represented by l, w and h respectively.

So that;

l = (w + 5) cm

w = w

h = 5 cm

volume of the box = length x width x height

                               = (w + 5) x w x 5

                               = (w + 5) x 5w

                               = 5[tex]w^{2}[/tex] + 25w

volume of the box = 5[tex]w^{2}[/tex] + 25w

Since the box was completely filled by 150 dice, then;

total volume of dice = volume of the box

300 = 5[tex]w^{2}[/tex] + 25w

5[tex]w^{2}[/tex] + 25w - 300 = 0

Divide through by 5 to have;

[tex]w^{2}[/tex] + 5w - 60 = 0

Applying the quadratic expression,

w = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a

where: a = 1, b = 5 and c = -60

(-5 ± [tex]\sqrt{5^{2} - 4(1*-60)}[/tex] ) ÷ 2

(-5 ± [tex]\sqrt{265}[/tex]) ÷ 2

(-5 ± 16.28) ÷ 2

(-5 + 16.28) ÷ 2 OR (-5 - 16.28) ÷ 2

5.64 OR -10.64

Thus, w = 5.64 cm

So that, l = (w + 5) = 10.64 cm

The possible dimensions of the box are: length = 10.64 cm, width = 5.64 cm and height = 5 cm.