Estimation Rita goes to the mall. If x is the number of items she ​bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.

Answers

Answer 1

Answer:

18.54x +48$85

Step-by-step explanation:

The total amount Rita spent is ...

  (18.54x +23) +(25) = 18.54x +48 . . . total spent

__

When x=2, that is approximately ...

  (18.5)(2) + 48 = 37 +48 = (40 -3) +(50 -2) = (40 +50) -(3 +2) = 90 -5 = 85

Rita spent about $85 if she bought 2 items.

_____

Additional comment

Estimation is often done using 1 significant figure. In this case, that would mean rounding the equation to 20x+50, so it would give a value of 90 when x=2.

An additional task when estimating is to estimate the error in the estimate. Here, using 20x+50 has an error of approximately 1.5x+2 (too high), so the error for 2 items will be about (1.5(2)+2) = 5. That is, the estimate of 90 is approximately 5 too high. Even this estimate has a remaining small error of 0.04x (too low).


Related Questions

Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________ standard deviation above the mean IQ score of ____________. A. 2; 90 B. 1; 110 C. 2; 75 D. 1; 100

Answers

Using the normal distribution, it is found that the correct option is:

D. 1; 100

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.

In this problem:

The mean on the Wechsler Scale is of 100, hence [tex]\mu = 100[/tex].The standard deviation is of 17, hence [tex]\sigma = 17[/tex].Brianna had an score of 117, hence [tex]X = 117[/tex]

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{117 - 100}{17}[/tex]

[tex]Z = 1[/tex]

Hence, the option d is correct.

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Which is the better buy? Explain.
Cereal
Price
$4.32
12-ounce box
16-ounce box
$5.44

Answers

For this problem, you have to find out how much each cereal costs per ounce. So you must divide each price by the amount of cereal you get and compare:
$4.08/16oz=$0.255/oz

Can you find the unit price ($/oz) of the remaining 2? You will then compare. The lowest value is the best buy!
the 16 ounce box is a better deal because it shows .34 cents per ounce while the other is .36 cents per ounce

Help me out please number 10 and if you can answer 13 please

Answers

10. 25/100 and 25%
25 divided by 25 /100 divided by 25 = 1/4

my Christmas present to you​

Answers

thanksss. you’re a real one lol

Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).

Answers

Hello there! :)

Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.

We are also given a point that the line passes through.

That's enough information to find the equation of the line.

First, we write the equation in point-slope form, which looks like so:

y-y1=m(x-x1)

y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.

y-4=-14(x-4)

y-4=-14x+56

y=-14x+60

Hence, that's the equation. Hope it helps.

~A lonely teen who helps others with a smile

-Grace

Good luck.

1 mi = 1.6 km

How many miles are in 39.2 kilometers?

Answers

Answer:

24.35775

Step-by-step explanation:

Ty for points xd

Answer:

24.35 miles

Step-by-step explanation:

just divide 39.2 by 1.6

Determine whether each quadrilateral is a parallelogram. Justify your answer.

Answers

Answer:

4. Parallelogram

5. Parallelogram

6. Parallelogram

Step-by-step explanation:

4. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.5. This is a parallelogram because it's angles are the same to the opposite angles. Hence, this is a parallelogram.6. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.

Hoped this helped.


Which expression is equivalent to x6 - 16x^2?
o x2(x - 2)2(x2 + 4)
o x2(x - 2)2(x + 2)2
o x2(x - 2)(x + 2)(x2 + 4)
o x2(x - 4)(x2 + 4)

Answers

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

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​A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by the function y=130x+119. Which statement represents the meaning of each part of the function?​

Answers

Answer:

130=monthly charge

119=one time installation fee

Step-by-step explanation:

119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!

i need help plzzzzz be a good mon,woman

Answers

The graph is symmetric when X=40

The revenue earned when the shovel is sold for $20 is the same when the shovel is sold for $60.

Hope this helps! :)

orignal price on a comb 0.99 discount 55%

Answers

Answer:

I think 5.45?  Sorry, not the best at math

Step-by-step explanation:

if you get a 55% discount off of 0.99 cents you pay 0.45 $

you're saving 0.54 $

All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?.

Answers

The shape of the cross-section resulting from the cut is Rhombus.

Given that,

All the edges of the object in the diagram are equal in length.

The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

We have to determine,

What is the shape of the cross-section resulting from the cut?

According to the question,

All the edges of the object in the diagram are equal in length.

The length of all edges is equal in the rhombus.

The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.

Moreover, the area of the rectangle formed in this case will be half of the rhombus.

Hence, The shape of the cross-section resulting from the cut is Rhombus.

For more details refer to the link given below.

https://brainly.com/question/18660021

Answer: C. A rhombus

Step-by-step explanation:

what is 1+1-2+3+1-4+5-5+6+2-8+8 x 2-16+4x5-20 = ?

first to answer correctly gets marked brainliest

Answers

Answer: The answer is 0.

Calculate the area of the quarter circle estimate using 3.14 for pi

(Please do say click this link for the answer and I didn’t mean to click that answer)

Answers

The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]

Area of a quarter circle is given by the formula:

[tex]Area = \frac{\pi r^2}{4}[/tex]

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula [tex]Area = \frac{\pi r^2}{4}[/tex]

[tex]Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2[/tex]

The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]

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A car travels 15 km in 13 minutes. What is its average speed in km/h?

Answers

Answer:

69.45 km/h

Step-by-step explanation:

Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)

Conclusion:

Therefore, the speed is 69.45 km/h (Approximate)

Hoped this helped.

Jane went to get her hair cut and colored before Christmas. The hair stylist told her it would cost $80, but Jane wanted to leave a 15% tip how much would her tip amount be how much will it cost her including the tip

Answers

Answer:

12$ tip together is will be 92$

Step-by-step explanation:

3 4/9 - 1 1/6 answer please

Answers

Answer:  2  5/18

Whole part = 2

Fractional part = 5/18

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

Explanation:

4/9 = 8/18 after multiplying top and bottom by 2

1/6 = 3/18 after multiplying top and bottom by 3

So the fractional parts subtract to:

4/9 - 1/6 = 8/18 - 3/18 = (8-3)/18 = 5/18

The whole parts subtract to

3-1 = 2

Overall, we end up with the mixed number of [tex]2 \frac{5}{18}[/tex]

We can write this as 2 & 5/18 or as 2 5/18

Side note: This mixed number converts to the improper fraction of 41/18.

The answer is 1 1/6

A recipe that makes 4 servings calls for Two-thirds cup of flour. How much flour is required to make 20 servings?
6 cups
3 and one-third cups
two-thirds cups
StartFraction 2 over 15 EndFraction cups


PLEASE HURRY ITS A TEST AND TIMED

Answers

The answer is 3 and one third!
20/4=5
(5*2)/3= 3 1/3

Write and solve a system of THREE inequalities that models the situation below. Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.

Answers

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

Kim is playing an online trivia game. she has 25 points and earns 1 point for each correct answer .she will advance to the next round if her score is over 34 points

Answers

Answer: 10 points

Step-by-step explanation:

She must get 10 answers right to get into the next round, if it need to be over 34

25+10=35

Can i have brainliest

Answer:

1x + 25 > 34

Step-by-step explanation:

test says its right

2.0,3.1,4.2,5.3 what is the next three numbers and what are they adding by

Answers

Answer:

6.4, 7.5, 8.6adding 1.1 each time

3,080 feet = ____ miles. Answer as a proper fraction or as a whole or mixed number

Answers

Answer: 3080/5280 or (simplified) 7/12

Explanation:
There are 5280 feet in one mile so 3080/5280 is equal to 3080 ft/ 1 mile.

7/12 is equal to 3080/5280 when simplified.
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4


To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4

b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters
Conversion a mixed number 2 2/
5
to a improper fraction: 2 2/5 = 2 2/
5
= 2 · 5 + 2/
5
= 10 + 2/
5
= 12/
5


To find a new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/
5
= 10/
5

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
c) Write a previous answer (new numerator 12) over the denominator 5.

Two and two fifths is twelve fifths
Multiple: 15/
4
* 12/
5
= 15 · 12/
4 · 5
= 180/
20
= 9 · 20/
1 · 20
= 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the following intermediate step, cancel by a common factor of 20 gives 9/
1
.
In other words - fifteen quarters multiplied by twelve fifths = nine.

What is the common ratio for the geometric sequence?
4/3,4, 12, 36,...
Enter your answer in the box.

Answers

Answer:

3 is the correct answer

u can find common ratio by dividing a specific term in GP by its preceding term. ...just as here

4/(4/3) = 3

also 12/4 = 3

also 36 /12 = 3

hence the common ratio for this GP is 3

hope it helped

Step-by-step explanation:

Five Identical semicircles are arranged as shown.
Find the diameter of one circle

Answers

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

Let the unknown distance from the left be x:Let the unknown distance from the right be y:

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

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I need helpppoppppppppppppp

Answers

Answer:

Step-by-step explanation:

2 1

[tex]\sf 12(3+5)[/tex]

Answers

Hi,

12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96

I hope it helped.✅

Answer:

[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]

Sarah use a gift card to buy for $47 worth of food she has $18 left on her gift card write an equation to represent a situation

Answers


47
-18
29 try that
And if can try division

Answer: 1.50

Step-by-step explanation:

The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.

Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.  

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.  

John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent  this situation.

A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.  

Josephine is looking for a new job as a plumber. She responds to a classified ad for a position that pays 54K. What would her weekly salary be to the nearest cent if she gets this job? A. $855.77 B. $1,038.46 C. 1,125.00 D. $1,057.69​

Answers

Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.

It should be noted that there are 52 weeks in one year.

Based on the information given, the annual salary is given as 54000.

Therefore, the weekly salary will be:

= Annual salary / Number of weeks.

= 54000 / 52

= $1038.46

Her weekly salary is $1038.46.

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What is the leading coefficient of a third degree function that has an output of 221 when x=2, and has zeros of −15, 3i, and −3i?

Answers

Answer:

  1

Step-by-step explanation:

The function with the given zeros will factor as ...

  f(x) = a(x +15)(x^2 +9) . . . . with leading  coefficient 'a'

You have ...

  f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a

Then a = 221/221 = 1

The leading coefficient is 1.

_____

Additional comment

As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.

In 2012, New York had a population of about 19 million people,
and Vermont had a population of about 626,000 people. What
is the difference in populations between New York and
Vermont?
A) 13.4 x 106
B) 1.8374 x 107
C) 1.34 x 107
D) 1.7964 x 107

Answers

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

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