1# Mr. Sanchez bought 2 magazines for $9.95 each and 1 book for $14.95. If the sales tax is 6%, what is the total cost of Mr. Sanchez’s purchases?

2# The price of gas increases from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?

3# Dennis estimated the width of the space he has in his kitchen to fit a new refrigerator to be 36 inches. The actual width is 33 inches. What is the approximate percent error?

4# Megan purchased 8 square yards of flooring for a total of $432. What was the price of this flooring per square foot? **BE CAREFUL! You need to convert SQUARE YARDS into SQUARE FEET! If 3 feet = 1 yard, how many square feet are in 1 square yard?

5# A rectangular photograph measuring 2 inches by 4 inches is enlarged by a scale factor of 8. What is the area of the new photograph?

HELP ME WITH THE 5 QUESTIONS!!!!! PLEASE :) QUICK

Answer:

y = 3/2x+6

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{2}[/tex]x + 9

Step-by-step explanation:

Slope-intercept form is y = mx + b. [tex]\frac{3}{2}[/tex] is the slope and 9 is the y-intercept.

Answer:

x=34/3

Step-by-step explanation:

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

the diameter of ball 8 inches

radius= 8/2 = 4 in

The volume of the ball

[tex]v=4/3 \pi r^3[/tex]

[tex]v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3[/tex]

Step two:

we know that

rate= quantity/time

rate= 2.4 in per second

quantity= 268.12

time=?

time= quantity/rate

time= 268.12/2.5

time= 107.2 seconds

Answer:

140 Presenrs

Step-by-step explanation:

If Santa delivers 420 presents in 15 hours and to get to 5 hours you need to divide 15 to 3, so what you do to one number you must do to the other, so therefore divide 420 by 3 to get 140 presents in 5 hours.

Answer:

f(n)= f(1)+d(n-1)

Step-by-step explanation:

the aerithmetric explict formula is the one above, but im  not sure what the question is asking, your difference is 4 btw    

Answer:

Step-by-step explanation:

Research decreases satisfaction

Answer:

w= -1/3

Let's solve your equation step-by-step.

7w+9−4w−4=4

Step 1: Simplify both sides of the equation.

7w+9−4w−4=4

7w+9+−4w+−4=4

(7w+−4w)+(9+−4)=4(Combine Like Terms)

3w+5=4

3w+5=4

Step 2: Subtract 5 from both sides.

3w+5−5=4−5

3w=−1

Step 3: Divide both sides by 3.

3w/3=−1/3

w= −1/3

Answer:

w= −1/3

HOPE THIS HELPS <3333333

-Silver

Answer:

Dude PDF is not a question

Step-by-step explanation:

3.

=45x-27

=9(5x-3)

4.

=6x+75x²

=3x(2+9x)

17.

22=16+x+3+14+57

5

110=90+x

110-90=x

x=20

Answer:

Simplify the expression.

Exact Form:

8

3

Decimal Form:

2.

¯

6

Mixed Number Form:

2

2

3

Step-by-step explanation:

Answer:

a or b

Step-by-step explanation:

Answer:

B. 30

Step-by-step explanation:

3/4 = .75

120 * .75 = 90

Of those 90 students 1/3 wore sandals.

1/3 = approximately .33

90 * .33 = 29.7

Therefore, around 30 students wore jeans and sandals.

Answer:

Mohan lent 3600 to Ram and 3000 to Shyam.

Step-by-step explanation:

Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.

Let Mohan lent x to Ram and y to Shyam

x+y=6600

Or, x=6600-y ...(i)

As Ram  pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:

[tex]I=x\times 0.15 \times 2 \\\\\Rightarrow I=0.3x \\\\[/tex]

[tex]\Rightarrow I=0.3(6600-y) \\\\[/tex] [by using (i)]

[tex]\Rightarrow I=1980-0.3y \cdots(ii)[/tex]

As Shyam  pays compound interest at 15 %=0.15 p.a,

so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount

[tex]C.I. = y(1+0.15)^2-y \\\\\Rightarrow C.I. = y(1.15^2-1) \\\\\Rightarrow C.I. = y(1.3225-1) \\\\\Rightarrow C.I. = 0.3225y \cdots(iii)[/tex]

As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),

[tex](1980-0.3y)-0.3225y=112.5 \\\\\Rightarrow 1980-0.3y-0.3225y=112.5 \\\\\Rightarrow 0.6225y=1980-112.5 \\\\\Rightarrow  y = 1867.5/0.6225=3000[/tex]

From equations (i),

[tex]x=6600-3000=3600[/tex]

Hence, Mohan lent 3600 to Ram and 3000 to Shyam.

Answer:

Line 3

Step-by-step explanation:

Proper solution step-by-step:

1. 3(x-2)=18

2. 3x - 6 = 18

3. 3x = 18 + 6

4. 3x = 24

5. x = 8

Answer:

3

Step-by-step explanation:

Answer:

$30.80

Step-by-step explanation:

10% of $28 is 2.80

add 28+2.80=30.80

Answer:

solution for -4 + 3y = 23

3y = 23+4

3y = 27

y = 9

solution for X - y = -7

X = 1

y = 8

Answer: x = 2; y = 9

[tex]\left \{ {{-4+3y=23} \atop {x-y=-7}} \right.\\\\<=>\left \{ {{3y=27} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=y-7}} \right.\\\\<=>\left \{ {{y=9} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Graph is not a function, so B and D are false.

y = 0 is a horizontal line, not a vertical line, so C is false.

This leaves only A.

Answer:

494.46 feet²

Step-by-step explanation:

So the area of one porch floor is

=l×w

=8.2×6.7 feet²

=54.94 feet²

So he paints 9 porch floors

So the exact total area of all the porch floors that Vaughn paints is

=54.94×9 feet²

=494.46 feet²

Answer:

the shortest angle is P which is 30

Step-by-step explanation:

180-70-80= 30

Answer:

A: [tex]5^2[/tex] times [tex]5^2[/tex]

C: [tex]\frac{1}{5^-^4}[/tex]

Step-by-step explanation:

A:

[tex]5^2[/tex] × [tex]5^2[/tex]

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

[tex]=5^4[/tex]

C:

[tex]\frac{1}{5^-^4}[/tex]

[tex]=5^4[/tex]

Answer:

IQR= (16)−(10)=6

Thus, option 'C' is true.

Step-by-step explanation:

Given the data

8, 9, 9, 10, 12, 12, 13, 14, 15, 15, 15, 16, 18, 19, 20

The interquartile range is equal to the difference between the 75th and the 25th percentiles

The 25th percentile is 10

The 75th percentile is 16

Finally,

IQR= (16)−(10)=6

Thus, option 'C' is true.

Answer:

-2/5

Step-by-step explanation:

hope this helps

Answer:

The ratio of a number x and four added to two:

= 4x + 2 = 0

= 4x = -2

= 4x/4 = -2/4

= x = -2/4

= x = -1/2

Step-by-step explanation:

Hope this helped!

Answer:

I am not sure but i think B so two solutions

The number of all possible combinations of 3 letters can be made from the word 'oranges' = 35

The probability that the three letters will be consonants = 0.114

In this question, we have been given a word 'oranges'

We need to find the number of ways in which the letters of orange can be arranged.

Also, we need to find the probability that these three letters will all be consonants.

The number of letters in the word oranges = 7

So, n = 7

We need combinations of 3 letters.

so, r = 3

The number of all possible combinations of 3 letters would be,

^7C_3 = 7! / (7 - 3)! (3!)

^7C_3 = 35

The number of combinations of 3 letters = 35

We can observe that the consonants in the word 'oranges' are:

r, n, g, s

The number of consonants = 4

The combinations of 3 consonants would be,

^4C_3 = 4! / (4 - 3)! 3!

^4C_3 = 4

The required probability would be,

p = ^4C_3  / ^7C_3

p = 4 / 35

p = 0.114

Therefore, the number of all possible combinations of 3 letters can be made from the word 'oranges' = 35

the probability that the three letters will be consonants = 0.114

Learn more about the probability here:

https://brainly.com/question/3679442

#SPJ1

Answer:

answer is a

Step-by-step explanation:

5(2)=10+2(7)=24