Tell whether each equation has one, zero, or infinitely many solutions.
5(x - 3) +6= 5x - 9​

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33  (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49   (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058  (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33 (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49 (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058 (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

3 cups + the original 6 = 9 cups.

Answer:

The answer is 9 cups of water

Step-by-step explanation:

Answer:

3* 10⁵

Step-by-step explanation:

6* 10⁸ / 2 * 10³ = 3 * 10⁸⁻³ = 3* 10⁵

Answer: 13

Step-by-step explanation:

x = 5

-5 (5) + 12

-25 + 12

-13

abs(-13) = 13

To find absolute value, solve the equation as is and then make the answer positive.  

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3 x 4 = 12

5 x 4 = 20

2 x 4 = 8

6 x 4 = 24

12 + 20 + 8 + 24 = 64

She has 64 marbles  

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Answer:

72

Step-by-step explanation:

If you move the decimal point 3 times, you get 72!

Answer:

72. the decimal point will move. (promise not copying) (the other person can get the credit though)

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

60 minutes in 1 hour

3x10= 30 in one hour

30x5=150 30 trucks in 5 hours

Tarzan can load 150 trucks in 5 hours.

To calculate how many trucks Tarzan can load in 5 hours based on the rate that he loaded 3 trucks in 6 minutes. First, we convert 5 hours into minutes to match the units of the given rate. There are 60 minutes in 1 hour, so 5 hours is 300 minutes (5 hours x 60 minutes/hour). Next, we need to find out how many 6-minute intervals there are in 300 minutes, which is 300 minutes / 6 minutes/intervals = 50 intervals. Since Tarzan loads 3 trucks per interval, we multiply the number of intervals by the number of trucks per interval to get the total number of trucks loaded in 5 hours: 50 intervals x 3 trucks/interval = 150 trucks.

Answer:

[tex]L=\frac{15}{16}\ yd[/tex]

Step-by-step explanation:

The correct question is

Devon needs a wood board with an area of 5/16 square yard to complete a project. If the wood board is 1/3 yard wide, how long must the board be?

we know that

The area of a rectangle is equal to

[tex]A=LW[/tex]

where

L is the length

W is the width

we have

[tex]A=\frac{5}{16}\ yd^2\\\\W=\frac{1}{3}\ yd[/tex]

substitute

[tex]\frac{5}{16}=L(\frac{1}{3})[/tex]

solve for L

[tex]L=\frac{5}{16}(3)[/tex]

[tex]L=\frac{15}{16}\ yd[/tex]

The length of the wood board must be approximately 39.69 yards.

To find the length of the board, we need to divide the total area by the width of the board. The area of the board is 516 square yards and the width is 13 yards.

Therefore, the length of the board can be found by dividing 516 by 13.

516 ÷ 13 = 39.69 yards.

So, the board must be approximately 39.69 yards long to complete the project.

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Answer:

Step-by-step explanation:

If 1000 divided by 40 equals 25, then you would want to stay under that.

so your next best bet is 24

then we just input our variable and sign

[tex]x \leqslant 24[/tex]

Answer:

Step-by-step explanation:

A cyclist moving at 10 kilometers per hour is traveling at a rate of 6.25 miles per hour. Over 4 hours, the cyclist will travel a total distance of 25 miles.

To convert kilometers per hour to miles per hour, you have to divide the kilometers value by 1.6 (because it's given that 1 mile = 1.6 kilometers). So, if the cyclist is cycling at 10 kilometers per hour, this translates to 10 / 1.6 = 6.25 miles per hour.

Next, to find out how many miles the cyclist will travel in 4 hours, we'll simply multiply this rate by the time. So, 6.25 (miles per hour) * 4 (hours) = 25 miles.

Therefore, the cyclist, if maintaining a speed of 10km per hour, will travel 25 miles in a 4 hour time span.

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Answer:

r = 0.055555.....

Step-by-step explanation:

3(1+6r)=14-12        Write out formula.

3+18r=2                Distributive Property Form.

(3-3)+18r=2-3        Subtract 3 to both sides.

(18/18)r=-1/18         Divide both sides by 18

r=0.055555..... or -1/18.                    

The diameter of circle is 1.018 mm.

Step-by-step explanation:

Given,

Circumference of circle = 3.2 mm

We know that;

Circumference = 2πr

[tex]3.2=2\pi r\\[/tex]

Putting π=22/7

[tex]3.2=2*\frac{22}{7}*r\\3.2=\frac{44}{7}r[/tex]

Multiplying both sides by 7/44

[tex]\frac{7}{44}*3.2=\frac{7}{44}*\frac{44}{7}r\\\\\frac{22.4}{44}=r\\\\r=0.509[/tex]

Diameter = 2r

Diameter = 2*0.509

Diameter = 1.018 mm

The diameter of circle is 1.018 mm.

Keywords: circle, circumference

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Answer:

The ordered pairs of A and C are not functions

Step-by-step explanation:

To determine if the ordered pairs are a function you look at the x values to see if they repeat. You don't want one input(x values) to lead to two outputs(y values). This would mean that you are never sure which output you will get.

In the answer A the x value "2" repeats, in the answer C the x value "1" repeats thus not making them functions.

You would pay $5.54 on that item.

Step-by-step explanation:

Given,

Cost of item = $63

Sales tax rate = 8.8%

Amount of sales tax = 8.8% of cost of item

Amount of sales tax = [tex]\frac{8.8}{100}*63[/tex]

Amount of sales tax = [tex]\frac{554.4}{100}[/tex]

Amount of sales tax = $5.54

You would pay $5.54 on that item.

Keywords: percentage, division

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Answer:

Options A and D are correct.

Step-by-step explanation:

The cost y (in dollars) for x ounces of peanuts is represented by the equation

[tex]y=0.23x[/tex]            .... (1)

It means the cost of each ounce of peanuts is $0.23.

The cost y (in dollars) for x ounces of pecans is represented by the equation

[tex]y=0.45x[/tex]            .... (2)

It means the cost of each ounce of pecans is $0.45.

$0.45 > $0.23

It means the cost for pecans is greater than the cost of peanuts. Option B is incorrect.

[tex]\$0.45-\ $0.23=\$0.22[/tex]

The cost for peanuts is $0.22 per ounce less than the cost for pecans. Option A is correct.

Substitute x=8 in equation (1).

[tex]y=0.23(8)=1.84[/tex]

The cost for 8 ounces of peanuts is $1.84. Option C is incorrect.

Substitute x=8 in equation (2).

[tex]y=0.45(8)=3.6[/tex]

he cost for 8 ounces of pecans is $3.60.. Option D is correct.

Answer:

Hope I helped!

Step-by-step explanation:

To construct a parallel line, set the compass to the same opening used for the first arc and draw an arc from point G that intersects line GD. This creates a parallel line to line EF through G.

To construct a line parallel to EF through point G, Francis should set the compass point on G and adjust the compass to the same opening that was used to construct the first arc. He then needs to create an arc that intersects GD on the opposite side of point A and extends to the right of point G. This step ensures that the line through G will have the same angle with GD as EF does with GD, allowing it to be parallel to EF.

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Answer:

Step-by-step explanation:

5/8*5/4=25/32

1/16*25/2=25/32

25/16*1/2=25/32

To find three different pairs of fractions that multiply to 25/32, start by factoring the numerator and denominator. Then pair up the factors to form fractions.

To find three different pairs of fractions that multiply to 25/32, we can start by factoring the numerator and denominator of 25/32. 25 can be factored as 5 * 5 and 32 can be factored as 2 * 2 * 2 * 2 * 2. We can then pair up the factors to form fractions:

So, three different pairs of fractions that multiply to 25/32 are 5/2 * 5/2 = 25/4, 5/2 * 5/32 = 25/64, and 5/2 * 1/4 = 5/8.

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Answer:

C. $792.00

Step-by-step explanation:

33 hours Fred can serve 33 x 6 = 198 tables

minimum gratuity : 3.08 x 198 = 609.8

maximum : 5.23 x 198 = 1035.5

Therefore $792.00 is a reasonable amount

Answer:

180=2^2×3^2×5

Step-by-step explanation:

We have to obtain the factors of 180 which are prime numbers

A prime number being a number with only 2 factors.That is 1 and the number itself.

For example 5 only has 2 factors 1 and 5⇒5=1×5

Here are the first few prime numbers

2,3,5,7,11,13,.....

A number which is not prime is a composite number. Composite numbers have more than 2 factors. All composite numbers can be expressed as a product of prime factors.

Answer:

5 x 2 x 2 x 3 x 3

Step-by-step explanation:

I basically did the prime factors of 18 which is  1, 2, 3, 6, 9, 18.  I broke it down elminated any other numbers not referring to the prime factor. Thats how you get your answer sorry if it's not a good explantion

Answer:

negative 6 is the answer

Step-by-step explanation:

Answer:

[tex]AB=5\sqrt{15}\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

we have

[tex]AC=20\ units[/tex] ----> is the hypotenuse

[tex]BC=5\ units[/tex] ----> is a leg

[tex]AB=?\ units[/tex] ----> is a leg

see the attached figure to better understand the problem

Applying the Pythagorean Theorem

[tex]AC^2=AB^2+BC^2[/tex]

substitute the given values

[tex]20^2=AB^2+5^2[/tex]

solve for AB

[tex]AB^2=20^2-5^2[/tex]

[tex]AB^2=375[/tex]

[tex]AB=\sqrt{375}\ units[/tex]

simplify

we know that

[tex]375=(25)(15)=5^2(15)[/tex]

substitute

[tex]AB=\sqrt{5^2(15)}\ units[/tex]

[tex]AB=5\sqrt{15}\ units[/tex]

Answer:

190% I believe, I hope this helped!

Step-by-step explanation:

Answer:

Its 126 i think

Step-by-step explanation:

Answer:

C) x=126

Step-by-step explanation:

Good evening ,

Answer:

(C) 36

Step-by-step explanation:

The length of the continuous solid path from P To Q = 3×(Length of the dashed line) = 3×(12) = 36 in.

:)

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Explanation:

Check out the attached image below. Basically I drew out the given diagram and then I added the variables a,b,c,d,e,f,g. Those variables represent the side lengths of the 7 squares. Each square has a perimeter of 4*s where s is the side length, but we dont consider the side that is running along the dashed line (that connects P directly to Q). So we have 3 sides per square added up.

The first square has us travel a distance of 3*a, then the second square a distance of 3*b and so on. Overall, the total distance traveled is

3a+3b+3c+3d+3e+3f+3g = 3(a+b+c+d+e+f+g)

The goal is to figure out what a+b+c+d+e+f+g is equal to. This is equal to the length of segment PQ since the 7 letters are pieces of segment PQ (i.e., I'm using the segment addition postulate).

In other words,

a+b+c+d+e+f+g = 12

3(a+b+c+d+e+f+g) = 3*12

3(a+b+c+d+e+f+g) = 36

Total distance traveled = 36

Answer:

y = 3x - 1

The rate of change of the function is 3.

Step-by-step explanation:

The equation of the linear function through the points (- 2, - 7)and (1,2) will be given by  

[tex]\frac{y - ( - 7)}{- 7 - 2} = \frac{x - (- 2)}{- 2 - 1}[/tex]

⇒ (y + 7) = 3(x + 2)

⇒ y = 3x - 1 (Answer)

Now, the rate of change of the function is the slope of the line i.e. 3. (Answer)

We know the equation of a straight line which passes through the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is given by  

[tex]\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}[/tex]

in this way ,u can do other as well with the help of protractor...

Answer:

x^2 - 6x + x - 6

= x^2 - 5x - 6

The amount of wax needed to create one set of candles is 84.75 cubic inches.

A cylinder is a 3-D figure that has a radius and a height.

The volume of a cylinder is given as πr²h.

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume.

= 3.14 x 2 x 2 x 5

= 62.8 cm³

We have,

Let's calculate the volume of each candle and then add them together to find the total wax needed for one set of candles.

For the smallest candle, the radius is 0.5 inches and the height is 3 inches, so the volume is:

V1 = π x (0.5)² x (3) = 0.75π cubic inches

For the medium-sized candle, the radius is twice as big, or 1 inch, and the height is twice as big, or 6 inches. So the volume is:

V2 = π x (1)² x (6) = 6π cubic inches

For the largest candle, the radius is three times as big, or 1.5 inches, and the height is three times as big, or 9 inches.

V3 = π x (1.5)² x (9) = 20.25π cubic inches

To find the total wax needed for one set of candles, we add up the volumes:

V (total) = V1 + V2 + V3

= 0.75π + 6π + 20.25π

= 27π cubic inches

= 27 x 3.14

= 84.78 cubic inches

Therefore,

The amount of wax needed to create one set of candles is 84.75 cubic inches.

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Answer:

339 R11

Step-by-step explanation:

8,147 ÷ 24 = 339 R11