Sten had some apples in his basket. He ate 3 and then put 3 in each of 4 bags. How many apples did Sten start with in his basket?

Answer:

a. 22.5 km

b. 267.52 m

c. 95 m

d. [tex](4.2)(10^{-5})[/tex] km

Step-by-step explanation:

a. You can convert from hectometers to kilometers, and then you can make the multiplication:

[tex]\frac{5hm}{10}=0.5km[/tex]

[tex](3km)(0.5km)(15)=22.5km[/tex]

b. You can convert from centimeters to meters, and then you can make the multiplication:

[tex]\frac{44cm}{100}=0.44m\\(19m)(0.44m)(32)=267.52m[/tex]

c. You only need to divide 1,140 meters by 12:

[tex]\frac{1,140m}{12})=95m[/tex]

d. You can convert from hectometers to kilometers, from decameters to kilometers and from meters to kilometers, and divide this by 15:

[tex]\frac{6hm}{10}=0.6km[/tex]

[tex]\frac{7dam}{100}=0.07km[/tex]

[tex]\frac{5m}{1000}=0.005km[/tex]

[tex]\frac{(3km)(0.6km)(0.07km)(0.005km)}{15}=(4.2)(10^{-5})[/tex] km

The cross-section of a sphere, cut by a plane, is always a circle, and the radius of this circle would be the same as the sphere, which is 6 inches.

Given the description of the scenario in the question, the cross-sectional shape of the sphere formed after a plane cuts it is a circle. A spacer is always a circle when cut by a plane, no matter what direction the cut is made. If we think of the sphere as Earth, no matter where you slice it, you’ll get a circle. The diameter of this new circle would be identical to the diameter of the sphere, and hence, it’s got a radius of 6 inches.

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xy² = x · y · y

xz = x · z

LCM(xy², xz) = x · y · y · z = xy²z

Answer:

It is -4,-2

Step-by-step explanation:

Answer:

The solution is (-4, -2)

Step-by-step explanation:

Given two equations

[tex]2x-5y=2[/tex]  →   (1)

[tex]3x+2y=-16[/tex]    →    (2)

we have to solve the system of equations by elimination method

Multiply (1) by 3 and (2) by 2 and then subtracting we get

[tex]3(2x-5y)-2(3x+2y)=6-(-32)[/tex]

[tex]6x-15y-6x-4y=38[/tex]

[tex]-19y=38[/tex]

[tex]y=-2[/tex]

⇒ [tex]2x=2+5(-2)=2-10=-8[/tex]

[tex]x=-4[/tex]

Hence, the solution is (-4, -2)

Option A is correct

y < 1 - 3x can alse be written as y < -3x + 1 (which crosses the y-axis at 1 and has a slope of -3 (aka rise over run of: down 3 and to the right 1)

The symbol (<) represents a dashed line that is shaded below.

Answer: A

The fraction is 7/8  is really close to 1, so you could estimate that the water level

changes by approximately -5 inches per month. The total change in the water

level at the end of the 3 month period would be approximately -15 inches.

Answer:

If the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

Step-by-step explanation:

It is given that the water level at the lake continued to change at the same rate for 3 months in a row.

Let the water level at the lake is decreased by the rate r each month.

Change in the water level for 1 month period = -r units

Change in the water level for 2 month period = -2r units

Change in the water level for 3 month period = -3r units

So, we conclude that if the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

Answer:

Option B

Step-by-step explanation:

For answering this question we must understand what is a function.

A function is different from mapping.

Mapping is just a subset of AxB where A and B are two sets.

But function is constrained to the point that elements of I set will have unique image in second set.

We find From the options

But in option B,, we find that 1 has two images 3.3 and 4.5.  i.e. 1 does not have unique image. Hence not a function.

All other options the first element in ordered pair have a unique image.

Hence all other options are functions.

Only option B is not a function.

C) If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%. That is option C is correct.

It is a process of making an important decision.

Given

During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college.

83 girls chose a 4-year college, and 33 attended a 2-year college.

The boys who are likely to attend 2-year college are 44.16% and who are likely to attend a 4-year college are 55.84%.

Similarly,

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%.

Then, option C is correct.

More about the conclusion link is given below.

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Doesn’t make sense !

Answer:179383764382340279370974087283506230757326520

Step-by-step explanation:ugly ms.smith order 5000000000 pizza and got fat like druwisfat and explosed and died bye bitsh

Let's assume

'a' , 'b' are zeros

so, we will find total zeros from graph

We can  curve touches x-axis

Let's assume it touches at x=b

so, there would be two zeros at x=b

it also crosses origin

so, another zero is at x=0

it crosses x-axis one more time

Let's assume that zeros at x=a

so, we have got four zeros

x=a,0,b,b

now, we can set up function

[tex]f(x)=(x-0)(x-a)(x-b)(x-b)[/tex]

we can also write as

[tex]f(x)=x(x-a)(x-b)^2[/tex].................Answer

The question says that Frances gets 6 paychecks in 1 week.

To find the number of paychecks that Frances gets paid in 52 weeks we need to know the number of paychecks she gets each week.

She gets 6 paychecks each week,

So that means,

1 w = 6 paychecks

So, in 52 weeks she will get:

[tex]6 \times 52=312[/tex] paychecks.

Over the duration of 52 weeks, Frances gets 312 paychecks.

Answer:

Connor ordered 5 toppings on his pizza.

Step-by-step explanation:

17.50 + (2.35 * x) = 29.25

Remove the parentheses

17.50 + 2.35x = 29.25

Subtract 17.50 from both sides

2.35x = 29.25 - 17.50

Subtract

2.35x = 11.75

Divide both sides by 2.35

x = 5

Answer:

29.25 - 17.50 = 11.75

11.75 divided by 2.35 = 5

So that he had 5 toppings on his pizza.

Step-by-step explanation:

Answer:

Option C is right answer.

Step-by-step explanation:

Given two equations as

2y + 4x = 18

2y – 3x = 4

We have to use substitution method.

From first equation find the value of y.

2y = 18-4x

Or y = 9-2x

Substitute this in II equation.

2(9-2x)-3x =4

18-4x-3x =4

-7x = 4-18 = -14

Divide by -7

x =2

Since y = 9-2x, substitute x=2 to get y

y = 9-2(2) = 5

Answer is (2,5)

To verify:

Substitute (2,5) in the given two equations to check.

2(5)+4(2) = 18 is right

2(5)-3(2) = 4 is also right.

Hence solution is (2,5)

Answer:

C. (2,5)

Step-by-step explanation:

Answer:

Option C is correct

(6, 5)  ordered pair comes from the table

Step-by-step explanation:

For this, we must indicate which of the ordered pairs shown belongs to the given table.

x y

3 4

4 4

5 2

6 5

The ordered pair is in the form of (x, y).

Option A:

(x, y) = (4, 3)

This pair is not found in the given table.

Option B:

(x, y) = (5, 6)

This pair is not found in the given table.

Option C

(x, y) = (6, 5)

This pair is  found in the last row of the given table.

Option D:

(x, y) = (2, 5)

This pair is not found in the given table.

Therefore,  (6, 5)  ordered pair comes from the table

Let us assume the total number of people surveyed be = 1500

People who own a dog = 925

People who also own a cat along with dog = 16

So, people who own only dog = 925-16 = 909

A.

The fraction of people who own both a dog and a cat are = [tex]\frac{925}{1500}[/tex]

= [tex]\frac{37}{60}[/tex]

B.

Number of people who own a dog and not a cat are = 909

In fraction it will be [tex]\frac{909}{1500}=\frac{303}{500}[/tex]

4 is the max number of toothpicks you can make

4* 3 1/5= 12 4/5

5* 3 1/5=16 that's too many

To graph 24x + 25 = -6y + 7, first rearrange it to the form y = mx + b. In our case, y = -4x -3. Plot the y-intercept (0, -3) first, then use the slope (-4) to find a second point (1, -7). Connect these points to form the graph.

To graph the equation 24x + 25 = -6y + 7, the first step is to rewrite the equation in slope-intercept form, or y = mx + b, where m is the slope of the line and b is the y-intercept (where the line crosses the y-axis).

Add 6y to both sides of the equation 24x + 25 = -6y + 7 to get 6y = 24x + 25 - 7. Then, rearrange the equations and divide all terms by 6 to get y = -4x - 3.

Now, we can identify the slope and y-intercept. The slope (m) is -4 and the y-intercept (b) is -3. Using these, we can plot two points on a graph. The first point is the y-intercept which is at (0, -3), the point where the line crosses the y-axis.

The slope of -4 means for every step to the right on the x-axis, we go down 4 steps. Therefore, our second point would be at (1, -7). Connect these two points with a straight line, and you have graphed the equation.

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For each, divide the amount by the number of wings

7 divided by 8: 0.875 = $0.88 per wing

10 divided by 12: 0.8333 = $0.83 per wing

17 divided by 20: 0.85 = $0.85 per wing

Looking at each result, the middle one (the $10 for 12 wings) is the best deal

hang on just a seci think i got it

Answer:

Option C is the correct answer.

Step-by-step explanation:

We have arc length = Radius x Angle in radian

Radius = 26 inches

[tex]\texttt{Angle rotated }= 80^0=80\times \frac{\pi}{180}=\frac{4\pi}{9}[/tex]

Arc length = [tex]l=\frac{4\pi}{9}\times 26=11.56\pi[/tex]

Length of the arc of the tire that touched the ground = 11.56π

Option C is the correct answer.

To solve this problem you must apply the proccedure shown below:

1- Solve the substraction in the parenthesis and square it:

[tex]\frac{1}{3}+6(\frac{1}{2})^2\\\frac{1}{3}+6(\frac{1}{4})[/tex]

 2- Apply the distributive property and solve the addition:

[tex]\frac{1}{3}+\frac{6}{4}\=\frac{11}{6}[/tex]

The answer is: [tex]\frac{11}{6}[/tex]

[tex]\frac{1}{3} +6(\frac{2}{3} - \frac{1}{6})^2[/tex]

first we simplify the parenthesis

To simplify the fractions inside the parenthesis , we make the denominators same

[tex]\frac{1}{3} +6(\frac{2*2}{3*2} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{4}{6} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{3}{6})^2[/tex]

Simplify the fraction 3/6

[tex]\frac{1}{3} +6(\frac{1}{2})^2[/tex]

Now we square 1/2

[tex]\frac{1}{3} +6(\frac{1}{4})[/tex]

Multiply 6 inside the parenthesis

[tex]\frac{1}{3} +\frac{6}{4}[/tex]

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

Now make the denominators same to add fractions

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

[tex]\frac{2}{6} +\frac{9}{6}[/tex]

[tex]\frac{11}{6}[/tex]

The correct option is:   B.  length: 14 cm, width: 6.4 cm

Explanation

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as:  1 cm = 25 miles

Suppose, the length and width of the lake on the map are  [tex]x[/tex] cm and [tex]y[/tex] cm respectively.

First, the equation according to the ratio of scaled length to the actual length will be....

[tex]\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14[/tex]

Now, the equation according to the ratio of scaled width to the actual width will be....

[tex]\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4[/tex]

Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.

The distance between A and B is d = |B - A|

We have d = 3 and A = 12.

Substitute:

[tex]|B-12|=3\iffB-12=3\ \vee\ B-12=-3\qquad|\text{add 12 to both sides}\\\\B=15\ \vee\ B=9[/tex]

To solve the problem, we use a system of linear equations. We find that the student has 14 $1 bills and 5 $5 bills.

This problem can be solved using a system of linear equations. Let's define two variables: x represents the number of $1 bills and y represents the number of $5 bills . From the problem, we can set up the following two equations:

Solving these equations simultaneously, we find that x = 14 and y = 5. Thus, the student has 14 $1 bills and 5 $5 bills.

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[tex]\dfrac{7}{12}x-\dfrac{1}{3}=\dfrac{1}{2}+\dfrac{3}{8}\\\\LCM(12,\ 3,\ 2,\ 8)=24\\\\\text{multiply both sides by 24}\\\\24\cdot\dfrac{7}{12}x-12\cdot\dfrac{1}{3}=12\cdot\dfrac{1}{2}+24\cdot\dfrac{3}{8}\\\\2\cdot7x-8=12+3\cdot3\\\\14x-8=12+9\\\\14x-8=21\qquad|\text{add 8 to both sides}\\\\14x=29\qquad|\text{divide both sides by 14}\\\\x=\dfrac{29}{14}[/tex]

To solve the equation, convert all fractions to have the same denominator. Then simplify the equation, and finally divide the obtained number by the coefficient of x to get the value of x.

To solve the equation 7/12x-1/3=1/2+3/8, we first need to simplify both sides of the equation by converting all the fractions to have the same denominator, which, in this case, is 24.

So we obtain the equation:(14/24)x-8/24=12/24+9/24. After simplifying this equation, we get: (14/24)x = 29/24. Diving 29/24 by 14/24 will give us the value of x.

This process is very similar to the one used for solving linear equations, you must combine like terms and isolate the variable on one side of the equation to find the solution.

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The answer is 15 cause you start at 15 and go from there

15 is the correct answer to the fill-in-the-blanks in this problem.

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

[tex]1(x^{2} ?6x+9)-9+14[/tex]

Upon completing the square and combining like terms we will get,

[tex]1(x?3)^{2} +5[/tex]

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

With assumptions about it being a *right* triangle and a and b being the legs, the answer is:  

B) 35.5°

[tex]\frac{450 (yards)}{5 (minutes)} = \frac{90 (yards)}{1 (minute)}[/tex] = 90 yards per minute

Answer: Charge in Jenny's Total allowance= $7.20

Step-by-step explanation:

Given : Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.

If she forgets three times in one month, then by using the MULTIPLICATION OPERATION the charge in Jenny's Total allowance will be :-

[tex]3\times\$2.40=\$7.20[/tex]

Hence, the charge in Jenny's Total allowance = $7.20