Answer: 4 weeks
Step-by-step explanation:
To find the answer to this question, we will divide 3 by 3/4 to find the number of weeks one bag will last.
3 / (3/4) = 3 * (4/3) = 12/3 = 4 weeks
One 3 -pound bag will last the cat 4 weeks.
A real estate agent earns a monthly salary of $800. This month he sold one home for $350,000 and one home for $425,000. He is paid a commission rate of 5% for each home. What were his total earnings for the month?
Enter the expression −3−8 as an equivalent addition expression.
Answer:
8 + 3
Step-by-step explanation:
A sporting goods store is having a sale in which all sleeping bags are discounted by 20%. Priya has a coupon for $5 off the regular price of a sleeping bag. The store first applies this coupon and then takes 20% off the reduced price. If Priya pays $34.40 for the sleeping bag, what was the original price, x, before the sale and without the coupon?
the original price was "x", which oddly enough is the 100%.
now, let's pluck out of "x" 5 bucks, so that makes it "x-5", that's our new adjusted 100%, from which the lady at the counter is happy to apply a 20% discount. Now, if the lady discounts 20% off of that "x-5" amount, what Priya is really paying for the sleeping bag is just 100% - 20% = 80%, and we happen to know that that 80% was really $34.40.
now, if "x - 5" is the 100%, and we know that 34.40 is the 80%, what the heck is "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x-5 & 100\\ 34.40& 80 \end{array} \implies \cfrac{x-5}{34.40}~~=~~\cfrac{100}{80} \implies \cfrac{ x-5 }{ 34.40 } ~~=~~ \cfrac{ 5 }{ 4 } \\\\\\ 4x-20=172\implies 4x=192\implies x=\cfrac{192}{4}\implies x=48[/tex]
If xx and yy vary directly and yy is 40 when xx is 5, find yy when xx is 6.
Answer:
41
Step-by-step explanation:
PLEASEEEE HELPPPPPPPPP
Answer: The difference between the angle measure is 152 degrees
Step-by-step explanation: Supplementary angles are angles that add up to 180
So if one angle is x in this case, the other will be 14x
Adding both ;
x + 14x = 180
15x = 180
x = 180/15
x = 12
The other angle is 14 * 12 = 168
The difference between the two will be;
168-12 = 156
Answer:
168
Step-by-step explanation:
m<B + m<C = 180 since the angles are supplementary.
m<B = 14m<C since the measure of angle B is 14 times the measure of angle C.
m<B + m<C = 180
14m<C + m<C = 180
15m<C = 180
m<C = 180/15
m<C = 12
m<B = 14m<C = 14 × 12
m<B = 168
Answer: 168
You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $5.95. For Account B, the simple interest earned after 30 months is $36.00. If the interest rate is %3.4 for Account A and %2.4 for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer: Principal amount is A = $250.09
Principal amount is B = $400.
Account B earned you the most interest the first month
The formula for simple interest is expressed as
I = PRT/100
Where
P = the principal or initial amount of money invested.
R = interest rate
T = time
On account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years.
Using the formula:
On account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
Using the formula:
To determine the account that earned more interest in the first month we divide the interest by the number of months.
$6.94/9 = $0.7711
$13.80/18 = $0.7667
Account B earned you the most interest the first month because $0.7667 is higher than $0.7711.
Answer:
Principal amount is A = $250.09
Principal amount is B = $400.
Account B earned you the most interest the first month
The formula for simple interest is expressed as
I = PRT/100
Where
P = the principal or initial amount of money invested.
R = interest rate
T = time
On account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years.
Using the formula:
On account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
Using the formula:
To determine the account that earned more interest in the first month we divide the interest by the number of months.
$6.94/9 = $0.7711
$13.80/18 = $0.7667
Account B earned you the most interest the first month because $0.7667 is higher than $0.7711.
Scroll down
Hope it helps.
Which of the following best describes the x in the expression, 12x - 7
Group of answer choices
-factor
-coefficient
-variable
-constant
Thanks a lot! <3
Answer: Variable
Step-by-step explanation:
The x in the equation is a variable
Which expression cannot be used to find a y-intercept?
Answer:
it is y-mx
because you can find the y-int by y=mx
ok, my let’s try this again. can someone please help fill out the ? for this table.
Answer:
60 months
$9,000
4.6%
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.5cm}\underline{Simple Interest Formula}\\\\$ A = P(1 + rt)$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
A = $5,000P = $4,000r = 5% = 0.05Substitute the given values into the formula and solve for t:
[tex]\implies 5000=4000(1+0.05t)[/tex]
[tex]\implies \dfrac{5000}{4000}=1+0.05t[/tex]
[tex]\implies1.25=1+0.05t[/tex]
[tex]\implies 0.05t=1.25-1[/tex]
[tex]\implies 0.05t=0.25[/tex]
[tex]\implies t=\dfrac{0.25}{0.05}[/tex]
[tex]\implies t=5\; \rm years=60\; months[/tex]
Given:
A = $11,160r = 8% = 0.08t = 36 months = 3 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies 11160=P(1+0.08 \cdot 3)[/tex]
[tex]\implies 11160=P(1.24)[/tex]
[tex]\implies P=\dfrac{11160}{1.24}[/tex]
[tex]\implies P=\$9000[/tex]
Given:
A = $3,207P = $3,000t = 18 months = 1.5 yearsSubstitute the given values into the formula and solve for r:
[tex]\implies 3207=3000(1+r \cdot 1.5)[/tex]
[tex]\implies \dfrac{3207}{3000}=1+1.5r[/tex]
[tex]\implies 1.069=1+1.5r[/tex]
[tex]\implies 1.5r=1.069-1[/tex]
[tex]\implies 1.5r=0.069[/tex]
[tex]\implies r=\dfrac{0.069}{1.5}[/tex]
[tex]\implies r=0.046[/tex]
[tex]\implies r=4.6\%[/tex]
Therefore, the completed table is:
[tex]\begin{array}{|c|c|c|c|}\cline{1-4} \vphantom{\dfrac12} \rm BALANCE & \rm PRINCIPAL & \rm INTEREST \; RATE & \rm TIME \\\cline{1-4} \vphantom{\dfrac12} \$5,000 & \$4,000 & 5\% & \rm 60 \; months\\\cline{1-4} \vphantom{\dfrac12} \$ 11,\!160 & \$9,000 & 8\% & \rm 36 \; months \\\cline{1-4} \vphantom{\dfrac12} \$3,207 & \$3,000 & 4.6\% & \rm 18 \; months\\\cline{1-4} \end{array}[/tex]
Sarah uses five and one half pounds of clay to make 11 small vases. Use a proportion to find how many pounds of clay she will use to make 27 small vases.
six and one half pounds
thirteen and one half pounds
fifteen and one fourth pounds
eighteen and one fourth pounds
Answer:
13.5
Step-by-step explanation:
5 1/2 divided by 11 equals 2 vases per pound so 27 divided by 1/2 is equal to 13.5 pounds to make 27 vases
Answer:
13.5 i did teh segment exam test too
-4.69 as simplified mixed number
Answer:
-4 69/100
Step-by-step explanation:
-4.69 = -(4 + 0.69) = -(4 + 69/100) = -4 69/100
Answer:4 6 over 9 as a fraction
Step-by-step explanation:
May some pls help my head hurts
Answer:
20 minutes
Step-by-step explanation:
we can solve with an equation
9 : 12 = 15 : x
x = 12 × 15 : 9
x = 180 : 9
x = 20
-------------------------
check
9 : 12 = 15 : 20
3 : 4 = 3 : 4
the answer is good
Tell whether the data sets show a direct variation. If so, identify the constant of variation.
Answer: do the math
Step-by-step explanation:
steps f
Christopher went shopping for a new video game because of a discount sale. He multiplied the price of the video game by 0.75 to find the price he would actually have to pay, before tax. What percent discount is the sale?
Please help!
Answer:
25% discount
Step-by-step explanation:
the equation: x* 0.75
.75= 3/4
100%= 1
1-.75= .25
25% discount
A line containing the points (4,1) and (0,0) intersects a line containing (1,0) and (-1,y). If the lines are perpendicular, what is the value of y?
Answer:
(-1,-8)
Step-by-step explanation:
the first line has a slope of 1-0/4-0 = 1/4
and a perpendicular slope should have different sign and the fraction flipped which means we need to find a slope of -4 for the perpendicular line
0-y/1-(-1)=-4
-y/-2=-4
y=-8
Write the mixed number 4 ⅜ as an improper fraction.
Thank u!
Answer:
[tex]\frac{35}{8}[/tex]
Step-by-step explanation:
Another name for 1 is [tex]\frac{8}{8}[/tex] so 4 can be [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] = [tex]\frac{32}{8}[/tex]. we can now add this to [tex]\frac{3}{8}[/tex]
[tex]\frac{32}{8}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{35}{8}[/tex]
When Jackson works more than 40 hours in a week, he earns 1.5 times his normal hourly rate for each of the extra hours. Jackson worked 43 hours one week. What was his total pay before deductions? Justify your answer.
Answer:
44.5 hr
Step-by-step explanation:
40x+(3*1.5x) = 40x+4.5x = 44.5x
There are 4,000 books in the town's library. Of these, 3600 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent.
The library contains 3600 fiction books, which is 90 percent of its books
Answer: 90%
Step-by-step explanation: The percent equation would be x%/100% = 3600/4000. Now, we divide 3600 by 400 to get 9. And 9ou of 10 is the same as 90/100 or 90% I hoped this helped!
List all the terms in the expression, 3x + 5x – 2.
Group of answer choices
3x , 5x, and -2
3 and 5
x and x and -2
3, 5, and -2
Thx!
Answer:
Step-by-step explanation:
z+7<8
help please!!!!!!!!!!!!
Answer:
z < 1
Step-by-step explanation:
z < 8 - 7
z < 1
Which frequency table matches the data?
Answer: A
Step-by-step explanation: hope it helps
Which table shows a function that is decreasing only over the interval (–1, ∞)?
What answer is it and why? To me it seems it can either be C or D (One all the way to the right on the top row and one all the way to the bottom right), but I'm not sure why it would be either one over the other and would need an explanation. If it is neither C nor D I need an explanation on how to solve this question correctly.
Answer: The table to the farthest right the last one.
Explanation:
The interval (-1, ∞) represents x-values anywhere from -1 and higher.
As such, you are looking for a table with y-values that decrease as the x-values increase.
Starting from -1 -
The first option: -5, -2, -1, 2. This is increasing.
The second option: -7, -6, 1, -1. This increases from -7 to -6 to 1.
The third option: -1, 2, 1, -6. This increases from -1 to 2.
The fourth option: 1, 0, -4, -8. This decreases across all coordinates in the range specified.
Answer:
The last graph (d) represents it
Distribute the negative sign to each term inside the parenthesis. - (9k-5p+7e-2)
Step-by-step explanation:
Distribute the negative sign to each term inside the parenthesis.
- (9k-5p+7e-2)
To distribute the negative sign to each term inside the parenthesis:
a negative and positive = -
a positive and positive = +
a negative and negative = +
- (9k-5p+7e-2)
- 9k + 5p - 7e + 2
Step-by-step explanation:
(-9k+5p-7e+2)
-×-=+
-×+=-
+×+=+
Which expression has like terms?
Group of answer choices
8x - 4y
8x - 4x
13c + 13d
4 + 4y
thx!
A tree that is 14 feet tall casts a shadow that is 7 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth.
15.7 feet
12.1 feet
4.6 feet
2.6 feet
Answer:
2.7
Step-by-step explanation:
A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the bakery sold that day?
(show work please)
Answer: The answer is 120
Step-by-step explanation:
We know that 36 is 30% of total items
So our equation would be 36/? = 30/100
From there we cross multiply so 36x100 = 3600
From there, we divide 3600 by 100
Therefore, your answer is 120
Help, i have to do this in the next like 30 seconds -_-
I think your answer is 2/3
I am not sure
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
a) 2.5in
b) 10in
c) 25in
d) 100in
A circle has a diameter of 30 inches. What is the area of the circle?
PLEASE HELP MY ASSIGNMENT IS OVERDUE
In the triangle ABC, AB = (x + 3)cm, BC = (x + 2)cm, AC = x cm and angle BAC = 60degrees
Find the value of x.
Answer:
x = 5---------------------------------
Side BC is opposite to ∠BAC and adjacent sides are AB and AC.
Use the law of cosines:
BC² = AB² + AC² - 2AB*AC*cos ∠BAC
Substitute and solve for x:
(x + 2)² = (x + 3)² + x² - 2x(x + 3) cos 60°x² + 4x + 4 = x² + 6x + 9 + x² - 2(x² + 3x)*1/2x² + 4x + 4 = 2x² + 6x + 9 - x² - 3xx² + 4x + 4 = x² + 3x + 94x - 3x = 9 - 4x = 5