Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?

Answer:

x = 3

Step-by-step explanation:

Hi there!

1) Prove similarity

The two triangles are similar due to angle-angle similarity. They both have an angle measured 90 degrees and the angles of the two corners that touch are equal, because opposite angles are equal.

2) Solve for x

Now, we can set up a proportion to solve for x:

[tex]\frac{x}{4} =\frac{4.5}{6} \\x=\frac{4.5}{6} *4\\x=3[/tex]

Therefore, x is 3 units long.

I hope this helps!

Answer:

y=|x -3| -1

Step-by-step explanation:

Step-by-step explanation:

hi friend I can help you in this geometry work via Wazapp

Answer:

80in 2

Step-by-step explanation:

Answer:

a=(d1×d2)÷2

(20×12)÷2

240/2

120

Answer:

z = - .5

Step-by-step explanation:

z = (x - μ)/ σ

z = 56 - 60/8 = -.5

Answer:

The fraction of cup filled with water is 3/4.

Step-by-step explanation:

Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?

Capacity =  2/3 L

Amount of water = 1/2 L

Fraction of amount of water to the capacity of mug is

[tex]\frac{1}{2}\div \frac{2}{3}\\\\\frac{3}{4}[/tex]

Answer:

Units

Step-by-step explanation:

From the value above 478.92

4 represents hundreds

7 represents tens

8 represents units

Hence the answer is units

Answer:

7.5         30

45         180

Step-by-step explanation:

The given line has x = 1.25 and y = 5.

y/x = 5/1.25 = 4

x is multiplied by 4 to get y since 1.25 * 4 = 5.

That means the equation is

y = 4x

For a proportional function, every value of x must be multiplied by 4 to get y.

x = 7.5

y = 4x = 4(7.5) = 30

7.5          30

We need to find the values for the last line.

11 * 4 = 44

There is no 44

13.75 * 4 = 55

There is no 55.

17.5 * 4 = 70

There is no 70

30 * 4 = 120

There is no 120.

45 * 4 = 180

There is a 180.

45         180

Answer:

7.5         30

45         180

The values that complete the table are -14, -8, -2 and 4

Given the function y = 3x - 8, we are to complete the given table.

If x = -2

y = 3(-2) - 8

y = -14

If x = 0

y = 3(0) - 8

y = -8

If x = 2

y = 3(2) - 8

y = -2

If x = 4

y = 3(4) - 8

y = 4

Hence the values that complete the table are -14, -8, -2 and 4

Learn more on table of functions here: https://brainly.com/question/3632175

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

Answer:

8(X^2+1)

Step-by-step explanation:

(X²+3)²-(X²-1)

(X²+3)(X²+3)-(X²-1)(X²-1)

X⁴+3X²+3X²+9-(X⁴-X²-X²+1)

X⁴+6X²+9-(X⁴-2X²+1)

X⁴+6X²+9-X⁴+2X²-1

8X²+8

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

[tex] \displaystyle\rm 15000[/tex]

Step-by-step explanation:

we given the area of rectangular floor and tile we want to find the number of tiles needed to tile the floor

notice that the area of the rectangular floor is in meter and the tile in cm so we need to convert cm to meter in order to figure out the number of tiles needed to tile the floor

therefore,

[tex] \rm 1m \implies 100 c m\\ \rm{1m}^{2} \implies10000 {cm}^{2} [/tex]

remember that,

[tex] \displaystyle\rm \: N _{ \rm tile} = \frac{A _{ \rm floor} }{A _{ \rm tile} } [/tex]

Thus substitute:

[tex] \displaystyle\rm \: N _{ \rm tile} = \frac{360 \times 10000 {cm}^{2} }{ {240cm}^{2} } [/tex]

simplify which yields:

[tex] \displaystyle\rm \: N _{ \rm tile} = 15000[/tex]

hence,

15000 of tiles needed to tile the floor

Answer:

3x + (x/2) *2

Step-by-step explanation:

The distance for the first 3 hours is rate times time

x *3

The distance for the next 2 hours is rate times time

x/2 *2

Add them together to get the total distance

3x + (x/2) *2

Answer:

9x

Step-by-step explanation:

(x² + 2x) - (x² - 7x) ← distribute parenthesis

= x² + 2x - x² + 7x ← collect like terms

= 9x

Answer:

9x

Step-by-step explanation:

( x ² + 2 x ) - ( x² - 7 x )

Simply the expression

Remove unnecessary parantheses

combine like terms

Answer:

_-3__ + (-9) = -12

Step-by-step explanation:

___ + (-9) = -12

-9 is being added to the blank. You want the blank alone (isolated) on the left side. The opposite operation to adding a -9 is to add a positive 9.

You must do the same operation to both sides of an equation.

Add 9 to both sides.

___ + (-9) + 9 = -12 + 9

___ + 0 = -3

___ = -3

Answer: -3

Answer:

-3

Step-by-step explanation:

Hi there!

___ + (-9) = -12

Adding a negative number is the same as subtracting

___ - 9 = -12

To isolate the blank, we can add 9 to both sides of the equal sign so there won't be a -9 on the left side

___ - 9 + 9 = -12 + 9

___ = -12 + 9

___ = -3

Therefore, the number is -3.

I hope this helps!

Answer:

shift

Step-by-step explanation:

shift

A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13. The number 8 is not prime because it has four factors: 1, 2, 4 and 8. The number 1 is not a prime number because it only has one factor (itself).

Answer:

x = 10

Step-by-step explanation:

Mathematically, the sum of the interior angles of a triangle is 180

Thus, we have it that;

55 + 45 + (5x + 30) = 180

100 + 5x + 30 = 180

5x = 180-30-100

5x = 50

x = 50/5

x = 10

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

[tex]60^\circ+80^\circ+90^\circ+x+x=360^\circ[/tex]

[tex]230^\circ+2x=360^\circ[/tex]

[tex]2x=360^\circ-230^\circ[/tex]

[tex]2x=130^\circ[/tex]

Divide both sides by 2.

[tex]\dfrac{2x}{2}=\dfrac{130^\circ}{2}[/tex]

[tex]x=65^\circ[/tex]

Therefore, the measures of both exterior angles are 65 degrees.

Answer:

Step-by-step explanation:

1.

7 > 0.7 > 0.07 > 0.007

2.

5h - 15hg

taking 5h common

5h (1 - 3g)

3.

5(2x- 1) = 35

dividing both sides by 5

2x - 1 = 7

2x = 7 + 1

2x = 8

x = 4

4.

if x is an odd number x + 2 will also be odd.

for example

11 is an odd number

on adding 2 we get 13 which is also an odd number.

Answer:

Step-by-step explanation:

3===o===2=======1========0========-1=======x-2

I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.

Ben should be right at -2 where the x is.

Answer:

(k)kg+(l)kg=kg

Step-by-step explanation:

I just looked at letters. it's definitely wrong but I typed something so I could get points and get my answers. idc tbh but good luck ig

A ratio shows us the number of times a number contains another number. The two areas that have buckeyes and monarchs are in the same proportion as A and D.

A ratio shows us the number of times a number contains another number.

The ratio of buckeyes and monarch butterflies in different areas can be written as,

Area A,

Buckeyes/Monarchs = 15/16

Area B,

Buckeyes/Monarchs = 27/36 = 3/4

Area C,

Buckeyes/Monarchs = 12/25

Area D,

Buckeyes/Monarchs = 24/32 = 3/4

Area E,

Buckeyes/Monarchs = 44/33 = 4/3

Hence, the two areas that have buckeyes and monarchs are in the same proportion as A and D.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:B and D

Step-by-step explanation:

i just took the test

Answer:

Step-by-step explanation:

This is a volume problem as indicated by the exponent on the unit feet. Cubed is a volume thing, whereas squared is an area thing, etc.

The volume for a box-shaped microwave is

V = l x w x h and we are given the length and the width, but those are in inches and they need to be in feet. That's the tricky part here...catching the inconsistency in the units!

18 inches = 1.5 ft and

14 inches = 7/6 feet

Filling in:

1.75 = 1.5 x 7/6 x h and

1.75 = 1.75h so

h = 1 foot

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

Answer:

B. (negative infinity, -1)

Answer:

{2,6,14}

Step-by-step explanation:

The range are the f(x) values

the domain are the x values

So we have it that;

f(-1) = 4(-1) + 6 = 2

f(0) = 4(0) + 6 = 6

f(2) = 4(2) + 6 = 14

so we have the range as;

{2,6,14}

Răspuns:

8052

Explicație pas cu pas:

Al treilea termen al unei progresii aritmetice:

T (n) = a + (n - 1) d

Unde ;

a = primul termen; d = diferență comună = 4; n = al treilea termen (numărul termenului)

Al treilea (3) termen:

T (3) = a + (3-1) 4

T (3) = 12

12 = a + 2 (4)

12 = a + 8

12 - 8 = a

4 = a

Prin urmare, primul termen = a

Al 2013-lea mandat;

T (2013) = a + (2013-1) d

T (2013) = 4 + (2012) 4

T (2013) = 4 + 8048

= 8052

the answer is in the picture above