Answer:
1. $17642. $5436Step-by-step explanation:
Step one:
given data
Initial account balance= $7200
we are told that the decrease was by 24.5%
Step two:
1. How much is this decrease in dollars?
let us solve for 24.5% of $7200
=24.5/100*7200
=0.245*7200
=1764
the decrease is $1764
2. How much money was in her account at the end of last year?
the final account balance is
=7200-1764
=$5436
At Pablo’s Pizza Pie, medium cheese pizzas cost $12.50, large cheese pizzas cost $15, and a 3-liter bottle of soda costs $2.50. Kevin purchased one bottle of soda and 5 pizzas for his party. If he spent exactly $70, what combination of medium and large pizzas did he purchase?
Answer:
3 medium and 2 large pizzas.
Step-by-step explanation:
70= 2.5+(12.50x+15y)
70-2.5=67.5
Possibilities
67.5=12.5(1)+15(4) FALSE(72.5)
67.5=12.5(4)+15(1) FALSE (65)
67.5=12.5(2)+15(3)FALSE(52.5)
67.5=12.5(3)+15(2)
TRUE (67.5)
1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
Answer:
1) -9.3465 × 10^8
2) 1.6214 × 10^-1
3) 1.33 × 10^-11
Explanation:
When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.
First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.
For example, to solve the first expression (problem one):
7.35 x 10^6 – 9.42 x 10^8
Divide 10^8 by 10^6 to get 10^2
So
it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.
7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.
Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.
Anyway for the second expression (problem 2)
Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.
So 3.14 × 10^-3 + 1.59 × 10^-1
The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2
So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.
The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50
Answer:
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Answer:
The answer is B,C, And D
Step-by-step explanation:
I just saw it on Khan and got it right.
the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z’?
Answer: -3 , 3
Step-by-step explanation:
thank me later;)
a fruit Shop sells dried fruit by the pound the cost for X pounds of raisins is represented by the equation y= 3.5x, where y is the total cost for X pounds. the cost for 4 pounds of dried cranberries is $18 Graph both proportional relationship on the grid to the right which fruit has the lower unit price? Explain.
y=4.5x the equation for cranberries
Step-by-step explanation:
So the easiest way to solve this would be take the $18 and divide it by the 4 pounds you then get the unit price per pound which is $4.5 a pound
Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.
Numbers: 7, 8, 5, 6
You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(
List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
Answer:
20
Step-by-step explanation:
If you take (2x+5) (2x+5) = 0
then 4x^2 + 20x +25 = 0
Please help me.......
Answer:
x=206
Step-by-step explanation:
Question 6
What is the 10th term in this arithmatic sequence if u is 0.2?
0.2, 1.55, 2.9, 4.25, 5.6 ....
Answer:
12.35 should be the 10th term sorry if im wrong tho
Step-by-step explanation:
Find the sum of the prime numbers less than 21
Answer:
1;3;5;7;11;13;17;19 add all the number
Answer:
Step-by-step explanation:
Prime numbers less than 21 are
2, 3,5,7,11,13,17,19
Sum= 79
Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.
p= __
5.4p +13.1 = −2.6p+3.5 .
5.4p + 2.6p = 3.5 -13.1
8.0p = -9.6
p = -9.6 / 8
p = -1.2
A trapezoid. Sides R U and S T are parallel.
Examine the trapezoid. Which sides are parallel?
sides RU and ST
sides RS and ST
sides ST and UT
sides RS and UT
Answer:
Sides RU and ST
Step-by-step explanation:
Just did the quiz
The function g(x) is a transfomation of the function f(x). If g(x) = 2(x – 3) 2
f(x) = 2(x + 4) then what translation describes the change from f (x) to g(x)?
2
1
Answer:
881 (-6x)
Step-by-step explanation:
PLS HELP ILL MARK YOU AS BRAINLESS WHATS THE ANSWER TO THESE QUESTIONS
how much is the arc of a circle if the angle is 70°
Answer:
siriously i dont know cuz im learning this in maths
area
perimeter
arc
Answer:
We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.
Step-by-step explanation:
hope that helps u
its past due so plz help me
Answer:
y= 5/8x
Step-by-step explanation:
When it says y is it typically means y=.
When it says 5/8 of a number or of a variable it means that number times that variable.
Hope this helps!
Factor −3 out of −27a−12.
Answer:
-3(9a + 4)
Step-by-step explanation:
Factor −3 out of −27a−12.... basically divide each term by -3
-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)
Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.
Answer:
Step-by-step explanation:
7x + 14 = 8.4x
14 = 1.4x
x = 10 hours
Each works 10 hours. Their total is 84 dollars each.
can someone help me answer this question please?
Answer:
A
Step-by-step explanation:
f(x) = (x + 3)(x + 2)(x - 3)
The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18
So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2
which is what you were given.
Now to get the answer
(x - 3)(x + 3) = x^2 - 9
(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)
What is the value of 24 – ( - 6 – (5 + 8))?
O A. 5
B. 27
C. 31
O D. 43
6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?
Answer:
-8
Step-by-step explanation:
12<-3 (x + 4)
1. distribute to the -3 to the x and 4 and should get
-3*x = -3x
-3*4 = -12
12< -3x - 12
2. now you get rid of the common factors which is -12 so add 12 to both sides and should get
-12+12=0
12+12=24
24< -3x
3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get
-3x/-3= x
24/-3= -8
-8<x
please HELP ASAP
What is the missing side, x?
Answer:
76
Step-by-step explanation:
witch 2 numbers are 4 units away from zero on a number line
Answer:
it depends which way youre going, but 4 and -4 work.
Step-by-step explanation:
what is the density of 9 cm³ gold cube with 450 g in a mass?
Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}
If the perimeter of ABC = 9.7cm,
E is the midpoint of AC, and DE||BC, find the length of DE.
Answer:
3.2333 (repeated)
3.23 (rounded
Step-by-step explanation:
ADE is 1/3 of ABC so we just divide the perimeter by 3
9.7cm / 3 = 3.2333
This rounds to: 3.23
Noah pays $7.65 for a cappuccino on days he's running late to work. One week, he was late on Monday, Wednesday, and Friday. How much did he spend (in $) on cappuccinos that week? $
Answer:
Amount Noah spent on cappuccino for that week = $22.95
Step-by-step explanation:
Noah pays $7.65 for a cappuccino on days he's running late to work
Cost of cappuccino per day = $7.65
One week, he was late on Monday, Wednesday, and Friday.
That is 3 days in a week
How much did he spend (in $) on cappuccinos that week? $
Amount Noah spent on cappuccino = cost of cappuccino per day × 3 days
= $7.65 × 3
= $22.95
Amount spent on cappuccino for that week = $22.95
Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20
Answer:
D.
Step-by-step explanation:
The function f gives the temperature in degrees Celsius t hours after midnight.
Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).
For 1:00 AM, 1 hour after midnight, we will have f(1).
And for 12:00 PM (noon), we will have f(12).
We want to find the equation that represents the temperature at 1:30 PM.
1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.
Therefore, the correct statement would be:
f(13.5)=20.
Hence, our answer is D.
Notes:
A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.
Answer:
d
Step-by-step explanation:
Calculate the quotient
2/5 divided by 3 4/7
Pls help lol this is due tomorrow
Answer:
8/105
Step-by-step explanation:
Answer:
the answer is 14/125
Step-by-step explanation: do keep flip switch
2/5 stays the same change the mixed number into a fraction so the new fraction is 25/7 then flip 25/7 to 7/25 then multiply 2/5 by 7/25 and that give s u 14/125
hopefully this helps out
What is the missing step in this proof?
(image attached below)
Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?
Answer:
3.36 yards
Step-by-step explanation:
✓From the question, Esteban stands on a dock 1.25 yd above the water which means the distance of Esteban above the water is 1.25 yd
✓A fish swims below Esteban at -4.61 yd from the surface of the water which means the distance of the fish away from the surface is 4.61 yd in opposite direction of Esteban
NOTE: The negative sign only signify direction of the fish which is opposite of Esteban
✓then the distance in yards apart of Esteban and the fish is
=4.61-1.25
=3.36 yards