list the integers within the interval
[tex] 8 \leqslant x < 16[/tex]


​

Answer: 6.5 hours

Step-by-step explanation:

From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:

= 75 / 1.5

= 50 miles per hour

The number of hours that the truck will use to travel 325 miles will be:

= 325/50

= 6.5 hours

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

Answer: y = -2/3x + 5/3

Step-by-step explanation:

Answer:62.5

Hello

Step-by-step explanation:

1. 7.50 divided by 6 = 1.25 for 1 length of rope (Feet)

2.50x1.25=62.5

Hope this helped

Or I might be wrong Im not sure yet.

Answer:

3 3/7 divided by 1 1/7 = 3

16/(-8) =  -2

2 2/5 divided by 4/5 = -3

-12.2/(-6.1) = 2

Step-by-step explanation:

Turn the mixed numbers into improper fractions and work from there. Then, make sure to find the reciprocal of the second fraction/number. For example,

3 3/7 = 24/7

1 1/7 = 8/7

24/7 (7/8) = 3

Hope this helped, but if you need more help then make sure to communicate with your teacher. This will help you out in the future.

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075

Step-by-step explanation:

I just need points sorry

Answer:

1296

Step-by-step explanation:

6 times 6 = 36 and 36 times 6=216 and 216 times 6 = 1296

Answer:

The answer is C

Number of days= 21/8

Step-by-step explanation:

The inequality to represent the given situation is [tex]2\frac{1}{2}+1\frac{1}{3} \le6[/tex]. Therefore, option B is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Joseph runs [tex]2\frac{1}{2}[/tex] miles on Monday. Each day after that, he runs the same [tex]1\frac{1}{3}[/tex] mile route every morning.

Let the number of days be x.

Here, the inequality is

[tex]2\frac{1}{2}+1\frac{1}{3} \le6[/tex]

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

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Answer:

b

Step-by-step explanation:

Answer:

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

Step-by-step explanation:

Given

[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]

Required

Select equivalent expressions

Multiply through by 2

[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]

[tex]2*A = h(b_1 + b_2)[/tex]

[tex]2A = h(b_1 + b_2)[/tex]

Divide through by h

[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]

[tex]\frac{2A}{h} = b_1 + b_2[/tex]

Subtract b1 from both sides

[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]

[tex]\frac{2A}{h} -b_1= b_2[/tex]

[tex]b_2 = \frac{2A}{h} -b_1[/tex]

From the list of options, there is only one answer

1.) 37

2.) -16

3.) 11

4.) 1

Step-by-step explanation:

Answer:

45495

Step-by-step explanation:

Answer:

10077

Step-by-step explanation:

A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P

t

​

=P

0

​

⋅2

d

t

​

, where P_tP

t

​

 is the population after t hours, P_0P

0

​

 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?

P_0=5400

P

0

​

=5400

The initial population

t=9

t=9

Time elapsed

d=10

d=10

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

​

=P

0

​

⋅2

d

t

​

P_t=5400\cdot 2^\frac{9}{10}

P

t

​

=5400⋅2

10

9

​

Plug in

P_t=10076.7563\approx10077

P

t

​

=10076.7563≈10077

Use parenthesis in the calculator for the exponent

Answer:

x is 2.4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x−15−(2x+5)=3x−20

5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)

5x+−15+−1(2x)+(−1)(5)=3x−20

5x+−15+−2x+−5=3x−20

5x+−15+−2x+−5=3x+−20

(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)

3x+−20=3x−20

3x−20=3x−20

Step 2: Subtract 3x from both sides.

3x−20−3x=3x−20−3x

−20=−20

Step 3: Add 20 to both sides.

−20+20=−20+20

0=0

Answer:

All real numbers are solutions.

2x+5−(5x−15)=−3x+20

Answer:

All real numbers are solutions.

Answer:

The answer is 1,785,815

1,785,815 their is your answer

Answer:

x = 3.5

Step-by-step explanation:

[tex] \triangle DEF \sim \triangle XYZ\\\\

\therefore \frac{DE}{XY} =\frac{DF}{XZ} \\\\

\therefore \frac{5}{7.5} =\frac{7}{3x} \\\\

\therefore 3x = \frac{7.5\times 7}{5} \\\\

\therefore x = \frac{7.5\times 7}{3\times 5} \\\\

\therefore x = \frac{52.5\times 7}{15} \\\\

\therefore x = 3.5[/tex]

Step-by-step explanation:

If [tex]\triangle[/tex]DEF~[tex]\triangle[/tex]XYZ

[tex]\tt{\dfrac{DE}{XY}=\dfrac{EF}{ZY}=\dfrac{DF}{XZ} }[/tex]

According to the question

[tex]\tt{\dfrac{5}{7.5}=\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{\dfrac{3}{4.5}=\dfrac{7}{3x} }[/tex]

[tex]\tt{ 9x=4.5×7}[/tex]

[tex]\tt{ 9x=31.5 }[/tex]

[tex]\tt{ x=\dfrac{22.5}{9} }[/tex]

[tex]\tt{x=3.5 }[/tex]

Answer:

350

Step-by-step explanation:

Answer:

Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1

Step-by-step explanation:

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given as,

12x +6(4x + 3) = 6(6x + 4) - 6

Simplify the equation, then we have

12x +6(4x + 3) = 6(6x + 4) - 6

12x + 24x + 18 = 36x + 24 - 6

36x + 18 = 36x + 18

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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Answer: the first one is a function. the second one is not.

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

Answer: They saved $8

Step-by-step explanation:

0.20 × $40 = $8.00

Pi is the ratio of the circumference of a circle to its diameter, D

Answer:

D.

Step-by-step explanation:

is the ratio of the circumference of any circle to the diameter of that circle

Answer:

The image is black

Step-by-step explanation:

Comment on this answer and edit the image. I will then tell you what the answer is.

Answer:

Area = 18 Sq.units

Step-by-step explanation:

From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units

Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.

Let the diagonal be c. Thus;

c = √(10² + 6²)

c = √(100 + 36)

c = √136

Let length of the horizontal part of the blue area be "b". Thus, b = 6 units

Let the other part of the triangle be a. We can find a from pythagoras theorem.

a = √(4² + 6²)

a = √(16 + 36)

a = √52

Using hero's formula, we can find the area of the triangle;

Area = √(s(s − a)(s − b)(s − c))

Where s = (a + b + c)/2

s = (√52 + 6 + √136)/2

s = 12.4365

Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))

Area = 18 Sq.units