Answer:
[tex]Total\ Savings = 85 + 7 w[/tex] --- In w weeks
[tex]Total\ Savings = \$141[/tex] --- In 8 weeks
Step-by-step explanation:
Given
[tex]Available\ Amount = \$85[/tex]
[tex]Weekly\ Savings = \$7[/tex]
[tex]Number\ of\ weeks = 8[/tex]
Required
Determine the amount of savings in w weeks
This can be calculated as thus:
[tex]Total\ Savings = Available\ Amount + Weekly\ Savings * Number\ of\ weeks[/tex]
In this case;
w = Number of weeks
So, we have:
[tex]Total\ Savings = 85 + 7 * w[/tex]
[tex]Total\ Savings = 85 + 7 w[/tex]
When w = 8, we have
[tex]Total\ Savings = 85 + 7 * 8[/tex]
[tex]Total\ Savings = 85 + 56[/tex]
[tex]Total\ Savings = \$141[/tex]
Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. 6x+6=6(x+1)
Answer:
Infinite Solutions
Step-by-step explanation:
6x+6=6(x+1)
6x+6=6x+6
If both sides of the equations are equal, it will ALWAYS be infinite solutions:)
Answer:
Infinite solutions.
Step-by-step explanation:
You have to distribute the 6 to the x and the 1. You'll then realize that both sides have 6x+6, and since 6x-6x=0 and 6-6=0, If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.
Find k so that the line through(k-1,k+2) and (4,-1) is perpendicular to the line through (-3,2) and (2,5).
Answer:
k = 2
Step-by-step explanation:
Perpendicular lines have slopes opposite reciprocalFormula to find a slope:
m = (y₂-y₁)/(x₂-x₁)Coordinates of the first line:
(k-1, k+2) and (4, -1)Coordinates of the second line:
(-3, 2) and (2, 5)Slopes of the lines:
m₁ = (-1 - k -2)/(4 - k + 1) = - (k + 3)/-(k -5) = (k + 3)/ (k - 5)m₂ = (5 - 2)/ (2 + 3) = 3/5Since m₁ = - 1/m₂, we have:
(k + 3)/ (k - 5) = - 5/33(k + 3) = -5(k - 5)3k + 9 = - 5k + 253k + 5k = 25 - 98k = 16k = 2So the answer is 2
What is 4,672.183 rounded to the nearest hundredth?
Answer:
The correct answer is 4,672.18.
Step-by-step explanation:
To solve this problem, we must look at the number we are given and determine what numbers are in which places. The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.
The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit. In the number given, the number 8 is in the hundredths place. Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place. This makes our answer 4,672.18.
Hope this helps!
if someone weighs five times as much as someone else and the total weight of the two people is 132 pounds how much does each person weight
Answer:
The heavier person weighs 110 pounds, and the lighter person weighs 22 pounds.
Step-by-step explanation:
Let the weight of the lighter person be 1 unit.
The weight of the heavier person will be [tex]1\times 5=5u[/tex]
Total weight: [tex]1u+5u=6u[/tex]
6 units = 132
Divide 6:
[tex]1u=\frac{132}{6}[/tex]
[tex]1u=22[/tex]
The weight of the lighter person is 22 pounds.
Weight of the heavier person [tex]= 5\times 22=110[/tex]
The weight of the heavier person is 110 pounds.
Step-by-step explanation:
someone= 5x
someone + x= 132
5x + x = 132
6X=132
x=22
One person ("someone") weighs x× 5 = 110.
the other person ("x) weighs x = 22
The formula for the volume of a cylinder is V = 2trh. Solve the formula for h.
Answer:
V/(2tr)=h
I think, its been a while since i had to do a problem like this
can you help meew pleasee due in 5 minnn
Answer:
It's D: 3x - 12 ≤ 8x + 13
Step-by-step explanation:
The first step in this inequality is to take out the parentheses so you multiply 3 by x and -4.
Round to the nearest thousandth: 4.3218 →
Answer:
4.322
Step-by-step explanation:
You would round up because of 8.
Hope this helps!! :D
Answer:
4.322
Since 8 is greater than 5, you round upwards.
Mr. Alfred’s car gets 12 miles per gallon. He drives to West Harlem for a weekend to visit his grandmother. He uses 6 gallons of gas. How many miles did he drive?
Answer:
72 miles.
Step-by-step explanation:
If he uses 6 gallons of gas, you would do 6 (gallons he used) x 12 (miles per gallon) equaling 72.
Solve for a brainlist
(Goes to first person)
7•3=?
Answer:
21Step-by-step explanation:
[tex]7\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:7\cdot \:3=21\\=21\\[/tex]
Answer:
21
Step-by-step explanation:
Describe the 6 ways to transform a function.
plz can some answer it will be appreciated
Answer:
22 cm
Step-by-step explanation:
A hexagon has six sides. Since it is a regular hexagon, all of the sides have equal length, so we can multiply the length of one side, 3.6 by 6 to get the perimeter. 3.6 x 6 = 21.6. To the nearest centimeter, the upper bound is 22.
- 32x - 40
What is the first step that I should do
I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.
[tex] - 32x - 40 = 0[/tex]
[tex] - 32x = 40[/tex]
From there you will divide by -32 and simply the fraction.
[tex]x = - \frac {40}{32} [/tex]
[tex]x = - \frac{5}{4} [/tex]
I hope this helps, but please let me know if this is not what you're trying to do.
A grocery store sells a bag of 3 oranges for $2.79. How much would it cost for 4 oranges?
Answer:
$3.72
Step-by-step explanation:
$2.79 divided by 3 equal 0.93.
0.93 times 4 equals 3.72.
Answer:
$3.72
Step-by-step explanation:
Step 1:
$2.79 ÷ 3 = 0.93
Step 2:
0.93 × 4
Answer:
$3.72
Hope This Helps :)
Mr Chan bought 20 computers and 25 printers for $30 000. Each computer costs $1250. At a promotion sale, Mr Chan sold each computer at $1700 with a free printer. The selling price of each printer when sold separately was $250.
Find the cost price of each printer.
Answer:
$200.
Step-by-step explanation:
Each computer costed $1,250.
Mr. Chan bought 20 computers.
20 × $1,250 = $25,000
$25,000 out of the $30,000 was spent on computers. That leaves $5,000. Which means $5,000 was spent on the printers.
$5,000 ÷ 25 = $200
(25 = amount of printers.)
So each printer was $200.
You sold 60 units of candy. The amount
you got from seling candy is $210. How
much are you selling candy for?
Answer:
$3.50
Step-by-step explanation:
Find (fog)(x). f(x) = 2x
g(x) = x + 6
write your answer as a polynomial in simplest form.
(f•g)(x)=
Answer: (f•g)(x)=2x²+12x
Step-by-step explanation:
(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.
(f•g)(x)=2x(x+6) [distribute by FOIL]
(f•g)(x)=2x²+12x
Now, we know that (f•g)(x)=2x²+12x.
Mathmatics 8th grade
Answer:
f or 2 meters is the correct answer
Step-by-step explanation:
Answer:
2.8
Step-by-step explanation:
2.8*2.8=7.84. 2.8 is the closest to the length of one side of the square.
1. Which conditional statement has a true truth value? a. If a shape is a quadrilateral, then it is a square. b. If the sum of two numbers is positive, then both the addends are positive. c. If an angle has a measure of 180 degrees, then it is an acute angle. d. If a figure is a square, then it has four sides.
Answer:
B I believe
Step-by-step explanation:
Consider a related scenario where you can invest $2000 in a savings account that has either a simple interest rate of 4.5% per year or $2000 at a compound interest rate of 4% per year.
Answer:
This is a multy step problem fist use cubes an then do the other steps
Step-by-step explanation:
Simplify: -7 -(-3)
Sometimes help me
Dan earns £400 over the course of a five-day week. How much is that per day?
Answer:
80
Step-by-step explanation:
Answer:
80 dollars a day
Step-by-step explanation:
400 divided by 5
= 80
hope this helps
11> -13+6n Another solve for the inequality ?
The answer is 4 > n.
24 >6n
4 > n
Answer:
4>n
Step-by-step explanation:
11+13>6n
24>6n
4>n
PLEASE HELP!
Reduce to simplest form.
5/8 - (- 7/2)
Answer:
[tex]\huge\boxed{\sf 4\frac{1}{8} }[/tex]
Step-by-step explanation:
[tex]\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}[/tex]
[tex]\sf =\frac{5}{8}+ \frac{7}{2} \\\\=\frac{5+28}{8}[/tex]
[tex]\sf =\frac{33}{8} \\\\=4\frac{1}{8}[/tex]
Hope this helped!
~AnonymousHelper1807What’s the distance between (6,4) , (-5,-1) round to the nearest ten
Answer:
The answer is
12.1 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(6,4) and (-5,-1)
The distance between them is
[tex]d = \sqrt{ ({6 + 5})^{2} + ( {4 + 1})^{2} } \\ = \sqrt{ {11}^{2} + {5}^{2} } \\ = \sqrt{121 + 25} \\ = \sqrt{146} \\ \: \: \: \: \: \: \: \: \: \: \: = 12.0830459[/tex]
We have the final answer as
12.1 units to the nearest tenthHope this helps
Which is the graph of the inequality: y< (1/2x -2)^3
Step-by-step explanation:
Rearrange the equation so "y" is on the left and everything else on the right. or below the line for a "less than" (y< or y≤).
write another name for < 5
Answer:
less than 5
x < 5
Predict how much money can be saved without having a negative actual net income. Monthly Budget Budgeted Amount Actual Amount Income Wages $1025 $675 Expenses Rent Utilities Food Cell Phone Savings $300 $100 $175 $75 $300 $300 $100 $200 $75 $____ Net Income $75 $____ a. It is not possible to save any money this month without having a negative actual net income. b. $350 can be saved resulting in an actual net income of $0. c. $200 can be saved resulting in an actual net income of $75. d. Because there is a $75 budgeted net income, that $75 can be put towards savings.
Answer:
a. It is not possible to save any money this month without having a negative actual net income.
Step-by-step explanation:
Answer:
Predict how much money can be saved without having a negative actual net income.
a. It is not possible to save any money this month without having a negative actual net income.<<<---CORRECT
b. $350 can be saved resulting in an actual net income of $0.
c. $200 can be saved resulting in an actual net income of $75.
d. Because there is a $75 budgeted net income, that $75 can be put towards savings.
Step-by-step explanation:
See pic. Edge 2021
HELP ME PLEASE!
Delbert needs to mix a 20% acid solution with a 50% acid solution to create
100 milliliters of a 26 % solution. How many millileters of each solution must Delbert use?
Answer: Delbert must mix
_____ milliliters of the
20% solution and
_____ milliliters of the 50% solution.
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
What is an equation of the line that’s passes through the the point (-6,-6) and is parallel to the line x-3y=18
Answer:
y = 1/3x -4
Step-by-step explanation:
solve x-3y=18 for y
3y=x-18
divided both by 3 so y = 1/3x - 6
The parallel line has the same slope so you have to find the y-intercept of the line passing through (-6,-6)
so y = 1/3x -4
ALOT OF POINTSALOT OF POINTS ALOT OF POINTS ALOT OF POINTS ALOT OF POINTS The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.
Answer:
Step-by-step explanation:
2,3
Answer:
The train is moving at a constant positive speed.
Hope this helped :)