The area of the floor the carpet needs to cover is 20 1/8 cm².
What is the area the carpet needs to cover?The floor has the shape of a rectangle. A rectangle is a 2-dimensional quadrilateral with four right angles.
Area of a rectangle = length x width
5 3/4 x 3 1/2
23/4 x 7/2 = 161/8 = 20 1/8 cm²
To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449
3) John has decided to invest his $20,000 in two saving accounts. He decides to invest some of it at 4.5% annual interest and the rest of it at 2.5% annual interest. After one year, his total interest from both accounts is $750. How much did he invest in each account?
The amount he invested in the account that yields 4.5% interest is $7,500.
The amount he invested in the account that yields 2.5% interest is $12,500.
What is the system of equations that represent the question?a + b = $20,000 equation 1
0.045a + 0.025b = $750 equation 2
Where:
a = amount he invested in the account that yields 4.5% interest
b = amount he invested in the account that yields 2.5% interest
How much was invested in the account that yields 4.5% interest?Multiply equation 1 by 0.025
0.025a + 0.025b = 500 equation 3
Subtract equation 3 from 2
250 = 0.02a
a = 12,500
How much was invested in the account that yields 4.5% interest?Subtract 12,500 from 20,000
20,000 - 12,500 = $7,500
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
PLEASE HELP ASAP!!! WILL GIVE BRALIEST!!
Answer:
Its d!
Step-by-step explanation:The answer is D:)
There are (bananas, pears, and peaches in a bag. One eighth of the fruits are pears. One half are bananas. Are there more pears or bananas?
Answer:
The answer would be that there are more bananas than pears
Step-by-step explanation:
Well, if we were to put the fractions into decimal form 1/8 would be .125 and if we put 1/2 into decimal it would be 0.5 or in this case .500
And since .500>.125 that shows that there are more bananas than pears in the bag, and the other 3/8 are peaches.
PLEASE HELP!!!! I will mark braineist
the following sentence. states, Americans looking for more land and resources left their homes. Which sentence is edited correctly?
The text states, “Americans, looking for more land and resources, left their homes."
The Text states Americans looking for more land and resources left their homes.
The text states “Americans, looking for more land, and resources left their homes."
The text states, "Americans look for more land and resources left their homes".
Step-by-step explanation:
The first sentence makes the most sense since they used quotations to state what was mentioned in the text, and the punctuations/commas/point are placed correctly.
What are the 3 positive integers that there sum is equal to their product...... Plz dont answer if you dont know... I mean for points cause i am in a n exam answer fasssstttt plz
Answer:
The 3 positive integers of which the sum is equal to their product are, 1 , 2 and 3
1 + 2 + 3 = 6
So, when we add 1, 2 , and 3, we get six, now let's see on multiplying them,
1 * 2 * 3 = 6
Hence, the positive integers that have the same sum as their product are,
1 , 2 , and 3
Thanks!!
The locations of a fishing boat, buoy, and kayak are represented by the points (0,0), (16,12), and (10,-5). Each unit represents 1 nautical mile.
The boat travels at 8 nautical miles per hour. How long does the boat take to reach the buoy if the boat travels directly toward it?
Someone please help me out, explanation also.
Answer:
2hrs 30 mins
Step-by-step explanation:
if the buoy Is 12 up and 16 right than you can use Pythagorean theorem
a²+b²=c²
144+256=c²
400=c²
√400=√c²
20=c
20/8=2.5
2 hrs 30 mins
If x< 0 and y<0 where is the point (x,y) located
Answer: 0
Step-by-step explanation:
A loaf of bread costs Rs.0.79 today. If its price increases by 6% per year, how much will an equivalent loaf cost in 20 years?
Answer:
.79x(.06x20)=.948
round up to .95
Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. The price of the loaf of bread after 20 years will be 2.53.
What is compounding?Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. And this continues for t period of time.
It is given by the formula,
A = P(1+r)ⁿ
where A is the value after n period of time, P is the initial amount, and,
r is the rate of increment or decrement.
Given that a loaf of bread costs Rs.0.79 today, and its price increases by 6% per year. Therefore, the price of bread will increase every year by 6% of the previous year's cost. Thus, it can be concluded that the price increases compounding.
Therefore, the equivalent loaf cost in 20 years will be,
Cost of the loaf after 20 years = 0.79(1+0.06)²⁰
= 0.79(3.2071)
= 2.53
Hence, the price of the loaf of bread after 20 years will be 2.53.
Learn more about Compounding here:
https://brainly.com/question/25857212
#SPJ2
Johnny Drive 150 miles in 3 hours. What is the unit rate
Answer:
50 mph
Step-by-step explanation:
r = d/t
r = 150/3 = 50
Answer:
1 hour = 50 Miles therefore 3 hours × 50 miles = 150 miles×per hour.
Find the area of a square with side length of 3 inches.
Answer:
A = 9 sq inches
Step-by-step explanation:
Area of a square:
A = l × w OR s^2
A = 3 × 3 = 3^2
A = 9 sq inches
Lori creates the following design for a T-shirt.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is ... square inches.
The area of Triangle 2 is ... square inches.
The area of the whole figure is ... square inches.
PLEASE HELP! WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
brianlesyt
3. Find the least number should be subtracted 9240 to make perfect square.
24
Find the square root of 9240 = √9240 = 96.125... now, take the whole number in the square root of 9240 which is 96 and now square this number so, 96² = 9216. Take the 9216 and subtract it from 9240 which is 24.
A cruise ship travels 20 miles in 50 minutes. How far does the ship travel per minute?
Use this formula: Speed = Distance/Time
Given in the question:
Distance - 20 miles
Time - 50 minutes
Calculations
Speed = Distance/Time
Speed = 20/50
Speed = 0.4 miles/min
Therefore, the ship travels 0.4 miles per minute.
20 points
The letters in the word "MISSISSIPPI are each written on an index card
and placed in a paper bag. What is the probability of choosing the letter
"S" from the bag? *
4/11
7111
4/7
06/11
Submit
Answer:
4/11
Step-by-step explanation:
The word "MISSISSIPPI" has 11 letters in it and has 4 "S". So, the probability of you picking a S out of a paper bag would be 4/11.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
How is the product of 4 and 2 shown using integer tiles?
+
+
+
+
+
+
+
+
+
+
+
+
+
-
JE
50 points find x
Please help
Answer:
x = 17
Step-by-step explanation:
The dash on each side means that all side lengths are equal in length.
Therefore, the shape shown is a regular polygon (hexagon).
Exterior angle of a regular polygon = 360 ÷ number of sides
⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°
Therefore,
4x - 8 = 60
Add 8 to both sides:
⇒ 4x = 68
Divide both sides by 4:
⇒ x = 17
Tammy has a weekly limit of minutes on her cell phone. So far this week, she has used her cell phone for 84 minutes, which
is 50% of her weekly limit. What is her weekly limit in minutes?
Answer:
168 minutes
Step-by-step explanation:
50% is equal to .5 which is half. So if 84 minutes is half her weekly limit then she double that number to find her weekly limit, which is 168 minutes.
Help pleaseeeee.....!!!!!!!
Answer:
30-60-90shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2xhypotenuse = 28 inches = 2x = 2(14)shortest leg = x = 14longest leg = x√3 = 14√3The exact length and width of the tv would be 14 inches and 14√3 inches.
Step-by-step explanation:
mark me brainliest!!
Answer: A
Step-by-step explanation:
Let the length side of the TV = a
The width of the TV = b
The diagonal of a TV = c
In a 30-60-90 right triangle,
We have cos(30°) = [tex]\frac{\sqrt{3}}{2}[/tex] and sin(30°) = [tex]\frac{1}{2}[/tex]
Given that c = 28 inches:
sin(30°) = [tex]\frac{b}{c}[/tex]
[tex]\frac{1}{2} = \frac{b}{c}[/tex]
[tex]b = \frac{1}{2} \times 28 = 14[/tex]
That is, the width of the TV = 14 inches
cos(30°) = [tex]\frac{a}{c}[/tex]
[tex]\frac{\sqrt{3}}{2} = \frac{a}{c}[/tex]
[tex]a = \frac{\sqrt{3}}{2} \times 28 = 14\sqrt{3}[/tex]
That is, the length of the TV = 14√3 inches
So the exact width and length of the TV are 14 inches and 14√3 inches.
Therefore, option A is the correct answer
I WILL GIVE BRAINLIEST PLEASE HELP
This scatter plot shows hot drink sales and outside temperature above 0 °F. The equation represents the linear model for this data.
y=−12x+50
According to the model, how many hot drinks are sold when the temperature is 0 °F?
Answer:
50
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more than $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax. What is the maximum number of people who can go to the amusement park?
Answer:
3
Step-by-step explanation:
Let the number of people be n.
39.75n + 5.75 ≤ 140
39.75n ≤ 134.25
n ≤ 3.37
The greatest integer less than or equal to 3.37 is 3.
Answer: 3
The maximum number of people who can go to the amusement park will be 3.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that the group has $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
Suppose the number of people will be n.
39.75n + 5.75 ≤ 140
39.75n ≤ 134.25
n ≤ 3.37
The greatest integer value should be less than or equal to 3.37 is 3.
Thus, the maximum number of people who can go to the amusement park will be 3.
Learn more about inequality here:
brainly.com/question/19491153
#SPJ2
During the health check of a man of two weeks, it was observed that he had fever on 11 days, morning or evening. When he had fever in the evening, he had no fever in the morning. He had fever 9 days in the evening. How many days did he have no fever in the morning?
Step-by-step explanation:
2 weeks = 14 days.
on 11 days of these 14 he had fever.
that means on 14-11 = 3 days he did not have a fever.
on 9 of these 11 fever days he had the fever in the evening.
and we know, when he had fever in the evening, he had no fever in the morning.
so, the number of days without fever in the morning is :
9 + 3 = 12
as he had no fever in the morning when he had a fever in the evening, AND when he did not have any fever at all ...
I need this fast pls
w ≥ 652.5
On 652.5, plot a closed point to the right.
Answer:
w ≥ 652.5- (B, the second choice)
Step-by-step explanation:
To graph, you would put a closed dot on 652.5
:) Hope this helped
Have a wonderful day
I know math isn't always easy, but you will get through this!
q(a+1) - 2q(a) if q(x) = x²+3x+4
[tex]q(x) = {x}^{2} + 3x + 4 [/tex]
_________________________________
Step(1)
To find q(a) we just need to put a instead of x in q(x) function.
Let's do it...
[tex]q(a) = {a}^{2} + 3a + 4 [/tex]
Multiply sides by -2 :
[tex] - 2q(a) = - 2( {a}^{2} + 3a + 4) [/tex]
[tex] - 2q(a) = - 2 {a}^{2} - 6a - 8 [/tex]
_________________________________
Step (2)
To find q(a+1) we just need to put a+1 instead of x in q(x) function.
Let's do it...
[tex]q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 5a + 8 [/tex]
_________________________________
Step (3)
[tex]q(a + 1) - 2q(a) = [/tex]
[tex] {a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\ [/tex]
[tex] - {a}^{2} - a = - a(a + 1)[/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
The expression for q(a+1) - 2q(a) is -a² - a
Given the expression q(x) = x²+3x+4
First, we need to get the function q(a+1)
q(a+1) = (a+1)²+3(a+1)+4
Expand
q(a+1) = a² + 2a + 1 + 3a + 3 + 4
q(a+1) = a² + 5a + 8
For the function q(a)
q(a) = a²+3a+4
2q(a) = 2(a²+3a+4)
2q(a)= 2a² + 6a + 8
Taking the difference:
q(a+1) - 2q(a) = a² + 5a + 8 - ( 2a² + 6a + 8)
q(a+1) - 2q(a) = a² + 5a + 8 - 2a² - 6a - 8
q(a+1) - 2q(a) = -a² - a
Hence the expression for q(a+1) - 2q(a) is -a² - a
Learn more here: https://brainly.com/question/17581815
Marla started her school work at 8:48am. If she has to do 4 hours of school, what time will she be off?
Bonus question: Marla's brother, jack started his school at 8:56am having to do 4 hours. What time will he be off?
Caculate the time Marla and Jack will be off.
THANKSSSSSSSSSSSSSSSSS
Answer : Marla Will Be Done School At 12:48 Pm.
Explanation : 8:48 Am. + 4 Hours = 12:48 Pm.
PLEASE HELP ASAP!!!
Match the graph with the correct equation.
A. y+1= -1/4 (x+5)
B. y-1= -4 (x+5)
C. y-1= -1/4 (x+5
D.y-1= -1/4 (x-5)
Answer:
Step-by-step explanation:
The surface area of a rectangular prism is 174 square inches. The rectangular base has one side length 3 times the other. The height of the prism is 5 inches. What are the maximum lengths of the sides of the base?
The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches.
How to find the maximum lengths of the sides of the baseThe surface area of the rectangular prism ([tex]A_{s}[/tex]) is equal to the product of two lengths of triangle. The area formula for the base is:
[tex]A = x\cdot (3\cdot x)[/tex]
[tex]A = 3\cdot x^{2}[/tex]
If we know that [tex]A = 174[/tex], then the least length of the base of the rectangle is:
[tex]x = \sqrt{\frac{A}{3} }[/tex]
[tex]x \approx 7.616\,in[/tex]
The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches. [tex]\blacksquare[/tex]
To learn more on prisms, we kindly invite to check this verified question: https://brainly.com/question/318504
Answer:
3 inches and 9 inches
Step-by-step explanation:
See pic :)
-8.46 greater or less than 5.31
Hello.
-8.46 is less than 5.31, because it is negative.
Answer:
-8.46 is less than 5.31
Step-by-step explanation:
-8.46 is a negative number, which is smaller than the positive number 5.31
Positive numbers are always greater than negative numbers.
Cost of a puppy: $349.99
Discount: 23%
What is the new cost?
Answer:
$269.49
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 349.99 × 23/100
Discount = 349.99 x 0.23
You save = $80.50
Final Price = Original Price - Discount
Final Price = 349.99 - 80.4977
Final Price = $269.49
A number is squared, and then three is added to its square. The result is 228. What is the number?
Answer:
[(15)(15) + 3] = 225
Step-by-step explanation: