Your round-trip drive to work is 4310 miles. How many miles do you drive to and from work in 3 days?

Answer:

A & B Not Similar B & C Not Similar A & C Similar

Step-by-step explanation:

i just took the test and these are the correct answers that they gave on review of test, Youre welcome :)

Lily has saved $ 7

Solution:

Given that bracelet costs $30

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved

Cost of bracelet = $ 30

From given statement,

Cost of bracelet = 5 times the amount she has saved - 5

Let "x" be the amount saved by lily

Cost of bracelet = 5 times x - 5

Here "times" represents multiplication

30 = 5(x) - 5

30 = 5x - 5

30 + 5 = 5x

5x = 35

On dividing 35 by 5 we get 7

x = 7

Thus Lily saved $ 7

Answer:

1.  Start with the cost of the bracelet: 30.

2. Add 5: 30 + 5 = 35.

3. Divide by 5: 35 / 5 = 7

So, Lily has $7 saved

Step-by-step explanation:

Hope it helpss ! :D

Answer:

D) Implement better procedures at the security gate.

Step-by-step explanation:

Answer: 6x^2-5x+5

Step-by-step explanation:

Answer:

6x^2-5x+5

Step-by-step explanation:

Essentially, you just put the two in a column:

7x^2−6x+5

- y

=x^2-x

("y" represents answer)

Answer:

Ans => 45

Step-by-step explanation:

3(d+1) = 4(d-2)

Expanding the brackets we have:

3d + 3 = 4d - 8

our aim now is to solve for d

3d - 4d = -8 - 3

-d = -11

=> d = 11

we can now get 5(d-2)

substituting d = 11

5(11-2)

5(9)

= 45

The value of 5(d-2) is 45.

3(d+1)=4(d–2)

3d + 3 = 4d - 8.

3d - 4d = -8 - 3.

-d = -11

d = 11

Substitute d = 11 into 5(d–2):

5(d-2)=5(11-2)

= 5(9)

= 45.

Final answer:

Gary spends approximately 54.29% of his free time on video games and the internet.

Explanation:

To find the percentage of free time that Gary spends on video games and the internet, we need to calculate the total number of hours he spends on these activities and divide it by the total number of hours of free time he has.

First, calculate the total number of hours Gary spends on video games and the internet: 10 + 9 = 19 hours.

Next, calculate the total number of hours Gary has for free time in a week: 5 hours per day x 7 days = 35 hours.

To find the percentage, divide the total number of hours spent on video games and the internet by the total number of hours of free time and multiply by 100: (19 / 35) x 100 = 54.29%.

Therefore, Gary spends approximately 54.29% of his free time on video games and the internet.

To find the percentage of free time that Gary is using to play video games and use the internet, calculate the total free time and the proportion of time spent on video games and internet use.

To find the percentage of free time that Gary is using to play video games and use the internet, we need to calculate the total amount of free time Gary has and then determine the proportion of that time spent on video games and internet use.

Gary spends 10 hours per week on the internet and 9 hours per week on video games. This is a total of 10 + 9 = 19 hours per week.

Since Gary has 5 hours of free time per day, he has a total of 5 * 7 = 35 hours of free time per week.

To find the percentage, we divide the time spent on video games and internet use (19 hours) by the total free time (35 hours) and then multiply by 100. So, the percentage is (19/35) * 100 = 54.28% (rounded to two decimal places).

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

[tex]r=10.4\ ft\\\\h=8.4\ ft[/tex]

You get this volume:

[tex]V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3[/tex]

If you double the radius, the volume of the conical tent will be:

[tex]V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3[/tex]

When you divide both volumes, you get:

[tex]\frac{3,805.70\ ft^3}{951.43\ ft^3}=4[/tex]

Therefore, doubling the radius will quadruple the volume of the tent.

Answer: The diver is 23 feet under sea level

Step-by-step explanation:

If we draw a vertical number line (image attached), where point 0 is sea level (the diver's initial position), the first point under sea level is -20, since we are told it dives a distance of 20 ft (the negative sign is only to indicate the direction, since a distance cannot be negative).

Then, the diver goes 10 ft deep. This means now it is 30 ft under sea level and the second point is -30.

After that the diver swims up 12 ft, hence we have to count 12 points up in our number line and the corresponding point is -18.

Finally, the diver swims 5 ft lower and keep that position. Hence, we have to count 5 points below point -18 in the number line, resulting in the last point: -23.

This means the diver's final position is 23 feet under sea level.

If we want to prove it with numbers, we can do it as follows:

20 ft (down)+10 ft (down)-12 ft (up)+5 ft (down)=23 ft

For this case we must resolve the following inequality:

[tex]750x + 150 <1000[/tex]

Subtracting 150 from both sides of the inequality we have:

[tex]750x <1000-150\\750x <850[/tex]

We divide between 750 on both sides of the equation:

[tex]x <\frac {850} {750}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {170} {150}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {34} {30}[/tex]

We simplify, dividing by 2 numerator and denominator:

[tex]x <\frac {17} {15}[/tex]

Thus, the solution is given by all values of x less strict than[tex]\frac {17} {15}[/tex]

Answer:

[tex]x <\frac {17} {15}[/tex]

Answer:

21

Step-by-step explanation:

32-25<1/3x

7*3=x

21=x

Answer:

171

Step-by-step explanation:

Carl’s age, 32 + 25 = 57

57 x 3 = 171

The GCF of given terms is: 2z

Step-by-step explanation:

A largest factor that is shared by all given terms is called greatest common factor.

So,

Given terms are:

4z , 6z^3

Factoring the terms

[tex]4z = 2.2.z\\6z^3 = 2.3.z.z.z[/tex]

The common factors in both terms are: 2 and z

So,

The GCF of given terms is: 2z

Keywords: GCF, factors

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Answer:

Option 1 and 2.

Step-by-step explanation:

Consider he given inequality is

[tex]x^2 + 12 x+35\ge0[/tex]

Splitting the middle term we get

[tex]x^2 +7x+5x+35\ge0[/tex]

[tex]x(x+7)+5(x+7)\ge0[/tex]

[tex](x+5)(x+7)\ge0[/tex]

The related equation is

[tex](x+5)(x+7)=0[/tex]

Using zero product property we get

[tex]x+5=0\Rightarrow x=-5[/tex]

[tex]x+7=0\Rightarrow x=-7[/tex]

Draw number line and mark -5 and -7 on it.

Now the three intervals are (-∞ , -7], [-7,-5] and [-5,∞).

The set of possible test points for

⇒ (-∞ , -7] → -8,  -10

⇒ [-7,-5] → -6

⇒ [-5,∞) → -4, 0, 4, 6

-8,-6,-4 and -10,-6,0 satisfies the given condition.

Therefore, the correct options are 1 and 2.

Answer:

No Solution.

Step-by-step explanation:

2 - 3(x + 4) = 3(3 - x)

2 - 3x - 12 = 9 - 3x

Move the terms in x to one side and the numbers to the other

-3x + 3x = 9 - 2 + 12

0 = 19.

This is absurd so there is No Solution.

Answer: 18

Step-by-step explanation:

1.We must total 14 and 22 (14+22) that brings the number of post which is 36.

2.The we must divide 36 by 2 (36÷2). It said two stacks that is why the division by 2 comes in place and it gives us our answer 18

7.8 6.8 and 5.8

Is what they forgot to put

Answer is 7.8

Max needs to run 15 laps around the track.

Step-by-step explanation:

Given,

Distance Max wants to run = 512 miles

Length around the track = 34 mile

34 miles = 1 lap

1 mile = [tex]\frac{1}{34}\ laps[/tex]

512 miles = [tex]\frac{1}{34}*512[/tex]

512 miles = 15.06 laps

Rounding off to nearest whole number;

512 miles = 15 laps

Max needs to run 15 laps around the track.

Keywords: unit rate, division

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Answer:

hence small rolls 60 and large rolls 70

Step-by-step explanation:

let club sold s small rolls

hence club sold s+10 large  rolls

earning from small roll 3s

earning from large rolls 4.5(s+10)

hence

4.5(s+10) - 3s  = 135

or  4.5(s+10) = 3s +135

3s +135 = 4.5(s+10)

3s +135 = 4.5s +45

4.5s +45 = 3s +135

4.5s -3s = 135-45

1.5s = 90

s = 90/1.5

s= 60

s+10 = 70

hence small rolls 60 and large rolls 70

The history club sold 60 small rolls of wrapping paper according to the given equation.

The subject here is Mathematics, specifically algebra. The equation given by the problem, 3S + 135 = 4.5(S + 10), can be solved to find 'S', which represents the number of small rolls sold by the history club. Start by distributing the 4.5 across the (S + 10) on the right side of the equation. This gives 3S + 135 = 4.5S + 45. Subtract 3S from both sides of the equation to get 135 = 1.5S + 45. Subtracting 45 from both sides then gives 90 = 1.5S. Finally, divide each side of the equation by 1.5 to get S = 60. So, the history club sold 60 small rolls.

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The statements which are true are:

(6, 6) is the midpoint of CD

(4, 3) is the intersection point of diagonals of parallelogram

Solution:

The mid point (x,y) = [tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

A(-2, -1) and B(6, 1)

[tex]\text{ midpoint of AB } = (\frac{-2+6}{2} , \frac{-1+1}{2})\\\\\text{ midpoint of AB } = (2, 0)[/tex]

Thus statement 1 is wrong

B(6, 1) and C(10, 7)

[tex]\text{ midpoint of BC } = (\frac{6+10}{2} , \frac{1+7}{2})\\\\\text{ midpoint of BC } = (8, 4)[/tex]

Thus statement 2 is wrong

Here ,

[tex]x_1[/tex] = 10

[tex]x_2[/tex]= 2

[tex]y_1[/tex]= 7

[tex]y_2[/tex]=5

now substituting these values,

mid point of CD  = [tex](\frac{10+2}{2},\frac{7+5}{2})[/tex]

mid point of CD  = [tex](\frac{12}{2},\frac{12}{2})[/tex]  

mid point of CD  = [tex](6, 6)[/tex]

Therefore (6, 6) is the midpoint of CD

Statement 3 is correct

A = (-2, -1) and D = (2, 5)

[tex]\text{ mid point of AD } = (\frac{-2+2}{2} , \frac{-1+5}{2})\\\\\text{ mid point of AD } = (0, 2)[/tex]

Thus statement 4 is wrong

Let AC and BD be the diagonals of parallelogram

The diagonals of a parallelogram bisect each other, therefore, the point of intersection is the midpoint of either.

Midpoint of AC:

A = (-2, -1) and C(10, 7)

[tex]\text{ Midpoint of AC } = (\frac{-2+10}{2} , \frac{-1+7}{2})\\\\\text{ Midpoint of AC } = (4,3)[/tex]

Thus statement 5 is correct

Answer:

[tex]50+5x\le 100[/tex]

[tex]x\le 10[/tex]

You can visit at most 10 swim classes.

Step-by-step explanation:

Let x be the number of swim classes you can attend with.

At your local pool, it costs $50 to join the swim association and $5 for each swim class. then x classes cost $5x and the total cost is $(50 + 5x).

You have budgeted $100 to improve your swimming over the summer. Hence,

[tex]50+5x\le 100[/tex]

Solve this inequality:

[tex]50+5x-50\le 100-50\\ \\5x\le 50\\ \\x\le 10[/tex]

You can visit at most 10 swim classes.

The student can join the swim association and attend up to 10 swim classes within the $100 budget.

This question is asking for the creation and solution of an inequality based on a budgeting scenario. The student has budgeted $100 and needs to spend $50 to join the swim association, leaving $50 for swim classes at $5 each. The problem can be represented by the inequality 5c ≤ 50, where c is the number of swim classes.

To solve the inequality, you would divide both sides by 5. The solution of this inequality is c ≤ 10. So, the student can attend up to 10 swim classes within the budget.

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Answer:

20

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures [tex]65^{\circ}[/tex] and [tex](3x+5)^{\circ}[/tex] are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

[tex]3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20[/tex]

Answer:

y=80x+50 for the one time service fee.

Anytime after that would be y=80x

Step-by-step explanation:

Y is how much the total is and 80 is how much it is an hour. X is the number of hours worked. With the first time fee of $50, your equation would be y=80x+50. Anytime after that, excluding the “one time fee,” the equation would be y=80x.

Answer:

Step-by-step explanation:

Sam has sold 63 pizzas, because the problem is asking what is the half of 126 basically, which is 63 and is also saying that sam sold HALF as many pizzas.

Answer:

215

Step-by-step explanation:

215

3

647

6

04

 3

 17

 15

   2

hope this helped

Barney can make 3 costumes from the total fabric.

Step-by-step explanation:

Given,

Amount of fabric Barney has = [tex]16\frac{1}{5}=\frac{81}{5}\ yards[/tex]

Amount of fabric required for an elf costume = [tex]5\frac{2}{5}=\frac{27}{5}\ yards[/tex]

Let,

x represent the number of costumes that can be make from total fabric.

[tex]\frac{27}{5}x=\frac{81}{5}[/tex]

Multiplying both sides by 5/27

[tex]\frac{5}{27}*\frac{27}{5}x=\frac{81}{5}*\frac{5}{27}\\\\x=\frac{81}{27}\\\\x=3[/tex]

Barney can make 3 costumes from the total fabric.

Keywords: fraction, multiplication

Learn more about fractions at:

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Answer:

Step-by-step explanation:

Answer: the answer would be B. ( 18y+35x over 15xy

Answer:

B. [tex]x=-210[/tex]

D. [tex]x=-201[/tex]

Step-by-step explanation:

Given:

The inequality for 'x' is given as:

[tex]x<-200[/tex]

The above inequality tells us that, the value of the variable 'x' is less than -200.

-200 is a negative number. So, for a negative number, the larger the value of the number, the smaller the number is.

Example: -2 is less than -1 although 2 has a greater magnitude than 1.

Therefore, the numbers that are less than -200 are -210 and -201.

So, the values of 'x' that satisfy the given inequality are -201 and -210

Thus, the correct options are (B) and (D).

Answer:

Full bottle can fill 34 ounces water and 27.2 ounces left in the bottle

Step-by-step explanation:

Full bottle : 100%

6.8 ounces: 20%

100% / 20% = 5

Full bottle = 6.8 x 5 = 34 ounces

water remain in bottle = 34 -6.8 = 27.2 ounces

There is 34 ounces of water in the bottle initially and this can be determined by using the unitary method.

Given :

The following steps can be used in order to determine the total amount of water in the full bottle:

Step 1 - The unitary method can be used in order to determine the total amount of water in the full bottle.

Step 2 - According to the given data, Diego pours 6.8 ounces of water from a full bottle which is the 20% of the water in the bottle.

Step 3 - If 20% is 6.8 ounces of water than the 100% is given by:

[tex]=\dfrac{6.8}{20}\times 100[/tex]

Multiply 6.8 by 100 in the above expression.

[tex]=\dfrac{680}{20}[/tex]

Divide 680 by 20 in the above expression.

= 34 ounces

So, there is 34 ounces of water in the bottle initially.

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Answer:

R= {y|y>=1}

Step-by-step explanation:

D = all real numbers R= {y|y>=1}.

All polynomials have domain of all real numbers.

For the range, the vertex format is useful;

Y= (X-1)^2 + 1

Since (X-1) is never less than zero, Y>=1.

That is where the vertex is, at Y=1