3) The cost of different sizes of orange juice are shown in the table.

Wich container costs the least per ounce?

This rounded number has three zeros. The number 38,469 rounded to the nearest thousand is 38,000.

To find the number of zeros in 38,469 when rounded to the nearest thousand, we first need to round the number appropriately. We look at the hundreds place (the third digit from the right), which is '4'. Since 4 is less than 5, we do not round up.

Answer:

y = [tex]\frac{1}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = [tex]\frac{1}{2}[/tex], hence

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute (4, 9) into the partial equation

9 = 2 + c ⇒ c = 9 - 2 = 7

y = [tex]\frac{1}{2}[/tex] x + 7 ← equation in slope-intercept form

ΔABC and ΔCBD are similar. Therefore we have the proportion:

[tex]\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2[/tex]

Substitute:

[tex]\dfrac{6}{x}=\dfrac{x}{2}[/tex]    cross multiply

[tex](x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}[/tex]

Answer:

1 and 3/4 days are equal to 42 hours

Step-by-step explanation:

42 hours = (42 hours) (1 day / 24 hours)

42 hours = 42/24 days

Simplyfing the fraction: Dividing the numerator and denominator by 6:

42 hours = (42/6) /  (24/6) days

42 hours = 7/4 days

42 hours = (4+3)/4 days

42 hours = (4/4+3/4) days

42 hours = 1 3/4 days

To determine how many days are equal to 42 hours, you divide 42 by 24 which results in 1.75. Therefore, 42 hours is equivalent to 1 and 3/4 days.

In this mathematics problem, we are asked to convert 42 hours into a measurement of days. To begin with, we know that 1 day equals 24 hours. Therefore, to convert 42 hours into days we will divide 42 by 24.

The result of this division is 1.75. In terms of a day fraction, this value represents 1 and 3/4 days. As such, we can say that 42 hours is equivalent to 1 and 3/4 days.

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Answer:

h < 100

Step-by-step explanation:

isolate h by dividing both sides by 2

h < 100

Answer:why didn’t you want me to scroll down ?  Can you answer my question

Step-by-step explanation:

1)Not necessarily a parallelogram

2)parallelogram

3)parallelogram

4)parallelogram

To classify a shape as a parallelogram, the following four conditions must be satisfied

1. Opposite sides are equal in length.

2. Opposite angles are equal.

3. Consecutive angles are supplementary

4. Diagonals bisect each other.

Each of these conditions contributes to the definition of a parallelogram, and all of them must be satisfied for a shape to be considered a parallelogram.

From the figures

1) Not necessarily a parallelogram

The opposite sides are not equal.

GH is congruent to Gl and HJ is congruent to IJ. These are adjacent sides instead of opposite sides equality.

2) Given

RS is parallel to TU

SU is parallel to R(Converse of the Opposite Sides Are Congruent (OSAC) Theorem)

Since the both pairs of opposite sides of the quadrilateral are congruent, then the quadrilateral is a parallelogram.

3) Given PQRS

PQ||RS(given)

PR||QS(Converse of the Opposite Sides Are Congruent (OSAC) Theorem)

Since the both pairs of opposite sides of the quadrilateral are congruent, then the quadrilateral is a parallelogram.

4) <ABC ≅ DCB(alternate angles, AB||CD BC is transversal)

<ACB ≅ DBC(alternate angles,AC||BD,BC is transversal)

Therefore

Opposite angles are equal.

Pairs of opposite sides are parallel.

Adjacent angles are supplementary.

so, the quadrilateral is a parallelogram.

learn more about parallelogram here

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[tex]p\%=\dfrac{p}{100}\\\\423\%=\dfrac{423}{100}=4\dfrac{23}{100}=4.23\\\\\boxed{423\%=4.23}[/tex]

Answer:

4.23

Step-by-step explanation:

423%

Percent means out of 100

423/100

Pt the decimal 2 places to the left of the 3

4.23

Answer:

centre = (3, 9 )

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 3)² + (y - 9)² = 16 is in this form

with centre = (3, 9) and r = [tex]\sqrt{16}[/tex] = 4

Answer:

(3,9) -apex!!!!!!

Step-by-step explanation:

Immediately, we can factor an x out of each term to simplify the polynomial.

x(x^2 + 2x - 24)

In doing this, we know the first zero will be x = 0.

Using the AC method, we can find the next two zeros.

x(x - 4)(x + 6)

The zeros of the polynomial function f(x) = x^3 + 2x^2 -24x are x = -6, 0, and 4.

The question requires finding the zeros of the polynomial function f(x) = x^3 + 2x^2 -24x. The zeros of this function can be found by setting the function equal to zero and solving for x. So, we have 0 = x^3 + 2x^2 - 24x. All terms have an 'x', so we can factor out 'x' to give: 0 = x (x^2 + 2x - 24). The quadratic formula (which is used for expressions of the form ax^2 + bx + c = 0) to solve x^2 + 2x - 24 = 0, we get x = -6 and x = 4. Therefore, the zeros of the function are x = -6, 0, and 4.

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Answer:

The number of problems solved = 2000

Step-by-step explanation:

Let us assume the monthly quota of problems be x

number of problem solved in first week = 25 % of x =[tex]0.25x[/tex]

number of problems solved in 2nd week = 110% of (problems solved in 1st       week)

                                                         = [tex]1.10 (0.25x)[/tex]

                                                         =[tex]0.275x[/tex]

number of problem solved 3rd week= 60% of ( problems solved in 1st and 2nd week)

                                                            = [tex]0.60(0.25x+0.275x)[/tex]

                                                            =[tex]0.60(0.525x)[/tex]

                                                            =[tex]0.315x[/tex]

number of problem solved in 4th week = [tex]320[/tex]

now we have

number of problems solved in ll 4 weeks = x

[tex]0.25x +0.275x+0.315x+320=x[/tex]

[tex]0.84x+320=x[/tex]

[tex]320=x-0.84x[/tex]

[tex]320=0.16 x[/tex]

[tex]x=\frac{320}{0.16}[/tex]

[tex]x=2000[/tex]

Hence the number of problems solved = 2000

Final answer:

In the third week they solved 60% of the number of problems they had solved in the first two weeks and, in the fourth week, they solved the remaining 320 problems. The total number of problems solved in the four-week month is 492.

Explanation:

To solve this problem, we need to find the number of problems solved in each week and then add them together to get the total number of problems solved in the four-week month.

In the first week, the students solved 25% of their monthly quota of problems. Let's say their monthly quota is 'x'. So, they solved 0.25x problems in the first week.

In the second week, they solved 110% of the number of problems solved in the first week. That means they solved 1.1 * 0.25x = 0.275x problems in the second week.

In the third week, they solved 60% of the number of problems they had solved in the first two weeks. So, they solved 0.6 * (0.25x + 0.275x) = 0.345x problems in the third week.

In the fourth week, they solved the remaining 320 problems. This means the total number of problems solved in the first three weeks is 0.345x, and we can set up the following equation to find x: 0.345x + 320 = x.

Solving this equation, we get x = 491.429. Since we can't have a fractional number of problems, we can round x up to 492. Therefore, the students solved a total of 492 problems in the four-week month.

Answer:

640 kilocalories are there in this 2-cup serving.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the given statement: There are 1600 kilocalories in 5 cups of dog food that mike gives his adult dog. Mike gives his puppy 2 cups of the same dog food.

Let x kilocalories are there in 2-cup serving.

then, by definition of proportion;

[tex]\frac{1600}{5} =\frac{x}{2}[/tex]

Multiply both sides by 2 we get;

[tex]x = \frac{1600}{5} \times 2[/tex]

Simplify:

[tex]x = 320 \times 2 = 640 kilocalories[/tex]

Therefore, 640 kilocalories are there in this 2-cup serving.

Answer:

g(f(x)) = x

Step-by-step explanation:

You are given f(x) = -4x - 1 and g(x) = [tex]\frac{x+1}{-4}[/tex]. Keep in mind that f(x) or g(x) is the same as a y = equation, but two separate equations.

You are trying to find g(f(x)), which means that you will use f(x) and substitute this value into the x value in the equation of g(x).

It will look like: g(-4x - 1) = [tex]\frac{x+1}{-4}[/tex]

[tex]\frac{(-4x-1)+1}{-4}[/tex]

Now evaluate the expression to solve the problem. Start by combining like terms.

[tex]\frac{(-4x)}{-4}[/tex]

You are left with -4x/-4. We can simplify this even further by dividing both sides of the fraction by -4/-4. The -4's cancel out and become 1's, so you are left with:

[tex]x[/tex]

Answer:

Step-by-step explanation:

g(f(x)) means that wherever you see an x in g(x) you put f(x) in it's place. Read that sentence a couple of times until it makes sense.

g(x) = (x + 1)/-4

g(f(x)) = (f(x) + 1) / - 4           Now wherever you see f(x), put in -4x - 1

g(f(x)) = [(-4x - 1) + 1] / - 4     Remove ( )

g(f(x)) = [-4x - 1 + 1 ] / - 4

g(f(x)) = [-4x] / - 4                 Do the division

g(f(x)) = x

Neat problem. thanks for posting.

Answer:

slope = -1/2

Step-by-step explanation:

The formula for slope is (y2-y1)/ (x2-x1)

          m = (10-14)/(5--3)

            = (-4)/(5+3)

            = -4/8

           = -1/2

Answer:

$3.77

Step-by-step explanation:

$4.99 x 0.5lb + $6.99 x 0.25lb?

First we multiply

2.495+1.725

Then we add

3.77

We will spend $3.77

Answer:

p=1.2

Step-by-step explanation:

Additive inverse of any number means a number which can be added to the original number to get

Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.

Given number p is additive inverse off -1.2 so p must be 1.2.

Sum will obviously be 0.

So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.

Answer:P=1.2

Step-by-step explanation:

To find the real zeros of the given function, set it equal to zero and solve the resulting equation.

The real zeros of the function F(x) = x^3 + 4x^2 + x - 6 are the values of x that make the function equal to zero.

Answer:

a) 6.73104 x 10⁵

b) about 480 times larger

Step-by-step explanation:

a) 673,104 people in scientific notation is 6.73104 x 10⁵

b)325.7 million is the same as 325700000 = 3.257 x 10⁸

so (3.257 x 10⁸) divided by (6.73104 x 10⁵) ≈ 0.48 x 10³

480 times larger

Answer:

Step-by-step explanation: 20 percent

:)

You would need 12 gallons of paint A. You can find this answer by finding what 60% of 20 is, and do that by multiplying 20 • (0.6). This is what gives you 12. Following that, you’ll need 3 gallons of C, and 5 gallons of B.

Answer:

54

Step-by-step explanation:

to evaluate substitute b = 18 into 3b

3b = 3 × 18 = 54

[ Answer ]

54

[ Explanation ]

B = 18

Substitue B for 18

3 * 18

= 54

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Answer:

y-4 = 3 (x-2)

Step-by-step explanation:

To find the slope of a line

slope = (y2-y1)/(x2-x1)

slope = (1-4)/(2-3)

         = -3/-1

         =3

Now we use the point slope form for a line

y-y1 = m(x-x1)

y-4 = 3 (x-2)

Answer:

y-4 = 3 (x-2)

y=-3x+10

Answer:

Is it 15?

Step-by-step explanation:

Since it is asking for the sites, aren't you just supposed to count the dots...?

Answer:

15

Step-by-step explanation:

The question is asking how many sites are shown in this data set. So, on the side of the rectangle, it says "Number of Sites" & the dots represent the number of sites. So, there are 15.

Sorry if I'm incorrect...

Answer:

42:53 would be the answer

Step-by-step explanation:

In a ski club fundraiser, the ratio of Italian hoagies sold to the total number of hoagies sold, when the numbers of Italian and roast beef hoagies are 42 and 53 respectively, is 42:95.

The student is asking for the ratio of Italian hoagies sold to the total number of hoagies sold at a ski club fundraiser. To calculate this ratio, one must add the number of Italian hoagies to the number of roast beef hoagies to determine the total hoagies sold. In this case, 42 Italian hoagies were sold, and 53 roast beef hoagies were sold, yielding a total of 95 hoagies sold. Thus, the ratio of Italian hoagies sold to total hoagies sold is 42:95. In ratio terms, this expresses that for every 42 Italian hoagies sold, there were 95 total hoagies sold.

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Answer: 30792.80

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

Work Shown:

We deposit P = 23400 dollars for t = 7 years, which is compounded n = 1 times per year at an interest rate of r = 4% = 0.04 (we'll use the decimal form of the interest rate)

So this means...

A = P*(1+r/n)^(n*t)

A = 23400*(1+0.04/1)^(1*7)

A = 23400*(1+0.04)^(7)

A = 23400*(1.04)^(7)

A = 23400*1.31593177923584

A = 30792.8036341187

A = 30792.80

Answer:

Brand A = 21 heart-rate watches.

Brand B = 13 heart-rate watches.

Step-by-step explanation:

Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.

We have been given that a nonprofit community health organization purchased 34 ​heart-rate watches for use at a wellness center.

We can represent this information in an equation as:

[tex]A+B=34...(1)[/tex]

We have been given that in a certain​ year, brand A of​ heart-rate watch cost ​$39.99 and brand B cost ​$59.99 and the organization spent ​$1619.66 for the​ watches.

We can represent this information in an equation as:

[tex]39.99*A+59.99*B=1619.66...(2)[/tex]

We will use substitution method to solve our system of equations.

From equation (1) we will get,

[tex]A=34-B[/tex]

Substituting [tex]A=34-B[/tex] in equation(2) we will get,

[tex]39.99*(34-B)+59.99*B=1619.66[/tex]

[tex]1359.66-39.99*B+59.99*B=1619.66[/tex]

[tex]-39.99*B+59.99*B=1619.66-1359.66[/tex]

[tex]20*B=260[/tex]

[tex]B=\frac{260}{20}[/tex]

[tex]B=13[/tex]

Therefore, the organisation purchased 13 heart-rate watches of brand B.

Now let us substitute B=13 in equation (1).

[tex]A+13=34[/tex]

[tex]A+13-13=34-13[/tex]

[tex]A=21[/tex]

Therefore, the organisation purchased 21 heart-rate watches of brand A.

The value of x can be any real number because raising 1 to any exponent will always result in 1.

The question needs us to solve for x in the equation [tex](6 to the 0 power)^x[/tex]= 1. We know that any non-zero number raised to the 0 power is 1 (e.g.,[tex]10^0[/tex] = 1). Thus, 6 to the 0 power is 1 regardless of the value of 6. From this, we have[tex]1^x[/tex], which is still 1 for any value of x because 1 raised to any power is always 1. Hence, the equation remains true for any real number value of x.

(10-4)/(7-5)=6/2=3.

The slope of the line that passes through those two points is 3.

The slope of the line that passes through (5,4) and (7,10) is 3.

Given that,

Based on the above information, the slope of the line is:

[tex]= \frac{y_2 - y_1}{x_2 - x_1} \\\\= \frac{10-7}{5-4} \\\\= \frac{3}{1}\\[/tex]

= 3

Therefore we can conclude that the slope of the line that passes through (5,4) and (7,10) is 3.

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Answer:

8 hours

Step-by-step explanation:

Firstly, the cost for renting the bike needs to be subtracted from the total amount:

79 - 15 = 64

Now this can be divided by 8 to find the hours:

64 ÷ 8 = 8

So he paid for 8 hours.

Answer:

1.77 to nearest hundredth

Step-by-step explanation:

Z-score = (score - mean)  / standard deviation

98 is the highest score and its z-score is (98- 81.5) / 9.3

= 1.7742

Answer: 1.77

Step-by-step explanation:

Given : The test grades of a science class are given.

78, 75, 70, 92, 69, 83, 98, 76, 75, 82, 91, 89

The grades are normally distributed with a mean [tex]\mu= 81.5[/tex] and a standard deviation [tex]\sigma=9.3[/tex] .

let x be any random variable represents the test grades of a science class.

Formula for z-score:-

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

The highest score= 98

Then , the z-score of the highest grade in the test will be :-

[tex]z=\dfrac{98-81.5}{9.3}=1.77419354839\approx1.77[/tex]

Hence, the z-score of the highest grade in the test =1.77