Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. a. Round the prices to the nearest whole dollar to estimate how much money she spent. b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?​

Answers

Answer 1

Estimates are used to make prediction about an actual value

Annie estimated spending $52Annie actually spent $48.25Your estimation is an overestimation

The chart is given as:

Fruit     Cost                  Estimated

Apple   $1.75/pound     8.75

Orange $2.35/pound   9.40

Banana $1.50/pound    4.50

The number of pounds of each fruit Annie bought are:

[tex]Apples= 5[/tex]

[tex]Orange = 4[/tex]

[tex]Banana = 3[/tex]

(a) The estimated amount

To do this, we make use of the estimated column.

So, we have:

[tex]Estimated = \sum Cost \times Pounds[/tex]

[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]

Approximate the prices

[tex]Estimated =2*5+9*4+2*3[/tex]

[tex]Estimated =52[/tex]

Hence, Annie estimated spending $52

(b) The actual amount spent

To do this, we make use of the cost column.

So, we have:

[tex]Actual = \sum Cost \times Pounds[/tex]

[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]

[tex]Actual =48.25[/tex]

Hence, Annie actually spent $48.25

(c) The decision

By comparison, the estimated spending is greater than the actual amount spent.

Hence, your estimation is an overestimation

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Related Questions

The marked price of a table and six chairs is sh 10500. Kang’ori bought the set on hire purchase at sh 10815. (a) Express the extra amount of money he paid as a percentage of the market price. (b) If he paid monthly instalments of sh 1150 for 6 months, what deposit did he pay?​

Answers

9514 1404 393

Answer:

  (a) 3%

  (b) sh 3915

Step-by-step explanation:

a) The extra amount is ...

   10815 -10500 = 315

As a percentage of the marked price, this is ...

  315/10500 × 100% = 3%

__

b) The total paid is the sum of the down payment and the monthly installments:

  10815 = down + 1150×6

  10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides

  down = 3915 . . . . . . . . . evaluate

The deposit paid was sh 3915.

Solve the inequality: x+10>2x/5. *

Answers

Hello BATAPAAKO!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Solve the inequality: x+10>2x/5.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex]x + 10 \gt \frac { 2 x } { 5 } \\ [/tex]

Firstly, multiply both sides of the equation by 5.

[tex]5(x + 10) > 2x \\ = 5x + 50 > 2x[/tex]

Since 5 is greater than 0, the direction of the inequality will remain unchanged. Now, subtract 2x from both the sides.

[tex]5x + 50 > 20 \\ = 5x + 50 - 2x > 0[/tex]

Combine 5x & -2x to get 3x.

[tex]5x + 50 - 2x > 0 \\ = 5x - 2x + 50 > 0 \\ = 3x + 50 > 0[/tex]

Now, subtract 50 from both the sides. Remember :- anything subtracted by 0 will result in its negation. So 50 subtracted from 0 will give you -50.

[tex]3x + 50 > 0 \\ = 3x > - 50[/tex]

Divide both sides of the equation by 3. Again, since 3 is > 0, the direction of inequality will remain unchanged.

[tex]3x > - 50 \\ = \large\boxed{\boxed{ \bf \: x > - \frac{ 50}{3} }}[/tex]

__________________

Hope it'll help you!

ℓucαzz ッ

-2.15-5j=-1.8+2.1j-7.45
J=

Answers

Answer:

j = 1

Step-by-step explanation:

-2.15+1.8+7.45 = 2.1j + 5j

7.1 = 7.1j

7.1/7.1 = j

what is the psychology of a middle school student compared to a elementary compared to a high school compared to a college how does the brain change

Answers

Our brain's capacity increases day by day with respect to our growth of our bodyAs older the student be the sharper theirs brain becomes.A middle school student has a less equipped brain capable to handle their studies.But a hugh school student has more sharper brain than the middle school student.

How can distributive property be used to solve 7 x 391

Answers

Answer:

7x ³⁹¹

Step-by-step explanation:

1: "x3" was replaced by "x^3".

a) Find the center-radius form of the equation of the circle with center (0,0) and
radius 16.

Answers

Answer:

x^2+y^2=256

Step-by-step explanation:

The general formula for a circle is (x - h)^2 + (y - k)^2 = r^2; where (h , k).

Thus, (x - 0)^2 + (y - 0)^2 = (16)^2 is x^2 + y^2 = 256

Let A, B, C, X be sets with A, B, and C are subsets of X. Prove the following set equalities
a) (A ∩ B)' = A' ∪ B'

Answers

Answer:

[tex] let \:x \in (A\cap B)'\\\Rightarrow x \notin (A\cap B) \\\Rightarrow x \notin A \:or\: x\notin B\\ \Rightarrow x \in A' \:or \:x \in B'\\\Rightarrow x \in A' \cup B'\\\therefore (A ∩ B)' = A' ∪ B' [/tex]

It is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.

What is a set ?

Sets are represented as a collection of well-defined objects or elements.

It is given that A , B , C , X are sets with A , B and C are subsets of X.

Let's assume X be an element of A intersection B complement. or (A ∩ B)'.

i.e.,

X ∈ (A ∩ B)'

Also , we can say that :

X ∉ ( A ∩ B)

This implies :

X ∉ A or X ∉ B

or we can also say that :

X ∈ A' or X ∈ B'

or

X ∈ A' ∪ B'

So , we can conclude that :

(A ∩ B)' = A' ∪ B'

or A Intersection B complement is equal to the union of the complements of the sets A and B.

Therefore , it is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.

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We have 2 fractions 1/6 and 3/8 and we want to rewrite them so that they have a common denominator what numbers could we use for the denominators

Answers

Answer:

You can use 48 and 24

Step-by-step explanation:

You can figure out 48 by simply multiplying 6 times 8. You can figure out the 24 by noticing that 24 is divisible by both 6 and 8. 6 x 4 =24, and 8 x 3=24. I hope this helps!

Answer:

The numbers we could use for the denominators is 48  and 24.

Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?

Answers

We have that, how long it will take for Liu to catch Mariel is mathematically given as

t=3.076s

From the question we are told

Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?

Generally the equation for the Average speed is  mathematically given as

[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]

Therefore

How long it will take for Liu to catch Mariel is mathematically given as

[tex]t=\frac{20}{6.5}[/tex]

t=3.076s

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Calculate the sum.

2/9+5/9

options:


79



718



1845



−39

Answers

Answer:

7/9

Step-by-step explanation:

2+5=7

Denominator stays the same 9

So it's 7/9

Answer:

You sure bout that this is the answer

Step-by-step explanation:

2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9

Multiply. Write your answer as a fraction in simplest form. 2/3 × 9/4

Answers

Answer:

1.5 or 1 1/2

Step-by-step explanation:

2*9 = 18

4*3 = 12

18/12 = 3/2

1.5 or 1 1/2

What is the sum of 3/9 and 4/9?​

Answers

Answer:

7/9

Step-by-step explanation:

Hope this helps you. Have a nice day.

Which of the following ordered pairs make this equation true?

Y=x-1

A) (3,2)

B) (1,4)

C) (4,5)

D) (0,1)

Answers

Answer: A

Step-by-step explanation:

Replace x by 3, and y by 2

Answer:

A. (3, 2)

Step-by-step explanation:

x = 3 , y = 2

• Y= x - 1

• 2 = 3-1

• 2 = 2

If x=0.8 and y=0.25, find y when x=0.125

Answers

Answer:

0.0390625

Step-by-step explanation:

by the equation then x=y*(16/5)

then when x=0.125 , y = 0.0390625

(x+7)+3y simply I need help plsssss ​

Answers

The answer should be x+7+3y if wrong tell me.

Answer:

move 7

Step-by-step explanation:

x + 3 y + 7

******Please help me please help me help please help*****

Answers

If there's no d than I guess c, k maybe the calories of a kookie and x is the amount, 2 isn't mentioned for the question we need to answer, and 72 isn't too, 5

5 maybe the answer

In the playing card deck below what is the chance of pulling 2 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the decimal ​

Answers

Answer:

.049774

12/52 x 11/51 = .04977376

what is (x-1)-(3x+2)

Answers

The answer to (x-1)-(3x+2) is -2x-3

Answer:

-2x - 3

Step-by-step explanation:

1. distribute

( x - 1 ) - (3x + 2)

(x - 1) - 3x - 2

2. Eliminate redundant parentheses

(x - 1) - 3x - 2

x - 1 - 3x - 2

3. Subtract the numbers

x−1 − 3x − 2

x - 3 - 3x

4.

x − 3 − 3x

-2x - 3

Simplify the expression to a + bi form:
(1 – 6i) + (12 + i)

Answers

[tex]\\ \sf\longmapsto (1-6i)+(12+i)[/tex]

[tex]\\ \sf\longmapsto 1-6i+12+i[/tex]

[tex]\\ \sf\longmapsto 1+12-6i+i[/tex]

[tex]\\ \sf\longmapsto 13-5i[/tex]

[tex]\sf{13+(-5i) }[/tex]

Step-by-step explanation:

we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form

[tex](1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)[/tex]

Name:
Date:
Period:
DLD: Solving Percent Problems
1. A bakery makes different flavors of muffins. On Tuesday, the bakery made 30
chocolate muffins and 90 blueberry muffins.
What percentage of the sandwiches were chocolate? Draw a tape
diagram to show how many flavors have chocolate and how many don't.

Answers

According to the calculations made through cross multiplication, 25% of the muffins were chocolate.

Given that a bakery makes different flavors of muffins, and on Tuesday, the bakery made 30 chocolate muffins and 90 blueberry muffins, to determine what percentage of the sandwiches were chocolate, the following cross multiplication calculation must be performed:

90 + 30 = 100 30 = X 120 = 100 30 = X 30 x 100/120 = X 3000/120 = X 25 = X

Therefore, 25% of the muffins were chocolate.

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 130x + 140

Answers

Answer:

10.17 seconds

Step-by-step explanation:

substitute y=0 into the equation

0=-16x²+153x+98

then use the quadratic formula

a = -16

b= 153

c = 98

Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):

x₁= 10.17

x₂= -0.60

(WORTH 100 POINTS)On Monday, Latrena sent an email to 5 friends. On Tuesday, each of those friends sent an email to 5 different friends. On Wednesday, each person who received an email on Tuesday sent an email to 5 different friends. How many friends received an email on Wednesday? Enter your answer as a power by filling in the boxes.

Answers

Answer:

5 to the power of 3

Step-by-step explanation:

I took the K12 test :)

The number of friends who received an email on Wednesday can be obtained using the exponential relation between the initial number of mails and the number of days elapsed, which is 125 .

The initial number of friends who received an email = 5 friends.

Number of days elapsed from Monday to Wednesday = 3 days

The Number of people who received a mail on Wednesday can be expressed thus :

5³ = 5 × 5 × 5 = 125 friends.

Therefore, 125 friends received an email on Wednesday.

Learn more : https://brainly.com/question/18796573

In a class of 30 children, 60% of the children are girls. How many of the girls are there in class? 18

Answers

You are correct!

20 Characters

Please help

This type of financing allows customers to pay for items in advance.
A. loans
B. secured loans
C. layaway
D. installment plan

Answers

Answer is C. Layaway

The answer is c layaway

Find the equation for the line shown

Answers

Answer:

y = 1/2x

Step-by-step explanation:

Slope: 1/2

y = 1/2x

What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form​

Answers

Answer:

y =  2x - 1

Step-by-step explanation:

To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:

1. 2 sets of ordered pairs (x, y)

2. Slope (m)

3. Y-intercept (b)

First, we need to choose 2 points from the graph to solve for the slope:

Let (x1, y1) = (0, -1)

(x2, y2) = (3, 5)

Substitute these values into the following slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]

Therefore, the slope (m) = 2.

Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept.  Hence, the y-intercept (b) = -1.

Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:

y = 2x - 1

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

You can bike at a rate of 7 miles in 25 minutes. At this rate, how long will it take you to go 18 miles?​

Answers

Answer:

64.2857

Step-by-step explanation:

take the distance traveled divided by the distance which will give you the speed traveling multiplying the distance and the speed will give you the time ot takes

SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!

Answers

Answer:

B. x=4

Step-by-step explanation:

4. f(x) = 2x4 - 3x2 + 5. Find f(-1).
What is the answer

Answers

Answer:

[tex]{ \rm{f(x) = 2 {x}^{4} - 3 {x}^{2} + 5 }}[/tex]

• for f(-1), substitute x with -1

[tex]{ \rm{f( - 1) = 2 {( - 1)}^{4} - 3 {( - 1)}^{2} + 5 }} \\ \\ { \rm{f( - 1) = 4}}[/tex]

Y varies directly with x. If y = 21, when x = 7, find y when x = 28.

Answers

This statement means
y

x
, which can also be written in the form
y
=
k
x
when it is directly proportionate and
y
=
k
x
when inversely proportionate, where
k
is a value we need to work out.
Since the equation is in the form
y
=
k
x
we know that...
21
=
K
×
7


k
=
21
7
=
3
.
So we can write this as the formula:
y
=
3
x
Therefore using the value of
x
=

1.66
y
=
3
x

y
=
3
×

1.66
=

4.98

Answer:

y = - 4.98

Step-by-step explanation: This statement means

y

x

, which can also be written in the form

y

=

k

x

when it is directly proportionate and

y

=

k

x

when inversely proportionate, where

k

is a value we need to work out. Since the equation is in the form

y

=

k

x

we know that...

21

=

K

×

7

k

=

21

7

=

3

.

So we can write this as the formula:

y

=

3

x

Therefore using the value of

x

=

1.66

y

=

3

x

y

=

3

×

1.66

=

4.98

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