Given:
A rectangular rug in her living room that is 6 feet wide and 8 feet long.
She orders a new one that covers twice as much area.
New rug is 1.5 times as wide as the original rug.
To find:
The length of new rug.
Solution:
We have,
Length of rug = 8 feet
Width of rug = 6 feet
Area of rug is
[tex]Area=length \times width[/tex]
[tex]A_1=8 \times 6[/tex]
[tex]A_1=48\text{ sq. feet}[/tex]
Area of new rug is twice of area of original rug.
[tex]A_2=2\times A_1[/tex]
[tex]A_2=2\times 48[/tex]
[tex]A_2=96\text{ sq. feet}[/tex]
New rug is 1.5 times as wide as the original rug.
Width of new rug = 1.5 × 6 = 9 feet
Let the length of new rug be x feets. So, area of new rug is
[tex]A_2=x\times 9[/tex]
[tex]96=x\times 9[/tex]
Divide both sides by 9.
[tex]\dfrac{96}{9}=x[/tex]
[tex]\dfrac{32}{3}=x[/tex]
[tex]x=\approx 10.67\text{ feet}[/tex]
Therefore, the length of new rug is about 10.67 feet.
What is the missing term in the factorization?
12x^2 - 75 = 3( 2x+__ )( 2x - 5 )
Enter your answer in the box.
the missing term is 5
Step-by-step explanation:Hi there !
12x² - 75 =
= 3(4x² - 25)
use formula a² - b² = (a - b)(a + b)
= 3(2x - 5)(2x + 5)
= 3(2x + 5)(2x - 5)
the missing term is 5
Good luck !
Please help me!!!!!!!!!!!!!!!
Answer:
I think C i could be wrong tho
Step-by-step explanation:
25.89= 15.19 + 2x
What is X
Answer:
[tex]25.89=15.19+2x[/tex]
[tex]x=5.35[/tex]
I hope this helps!
100 to 150
options:
option 1: 50% decrease
option 2: 50% increase
option3: 33%increase
option 4: 1/2% increase
Answer:
50% increase
hope this helped
Felicia drank 5 glasses of soda throughout the day. Which choice
below is the most likely number of ounces of soda that Felicia
consumed?
40 ounces
125 ounces
200 ounces
10 ounces
Answer:
40 ounces
Step-by-step explanation:
A glass is 8 ounces so:
8 x 5 = 40 ounces
SIMPLE MATH WORTH EXTRA POINTS!
3x−91 > -87 or 21x−17>25
CHOOSE ONE ANSWER
Answer:
the answer is c.
Step-by-step explanation:
add 91 ti the -87 and then divide 3 ,to make the x by itself, by the answer you get when you add. Then do the same with the other equation.
Answer:
B ( x > 4/3)
Step-by-step explanation:
Khan academy. PLZ GIVE ME BRAINLIST and do NOT pick the answer above
A kitten weighs 3.2 pounds. A baby tiger weighs 26 times as much as the kitten. How much does the baby tiger weigh?
Answer:
83.2 pounds
Step-by-step explanation:
3.2 times 26 is 83.2 so that would be how much the baby tiger weighs
Three quarts of a latex enamel paint will cover about 120 square feet of wall surface. How many quarts are needed to cover 161 square feet of kitchen wall and 119 square feet of bathroom wall? Nothing quarts of a latex enamel paint are required
Answer:
7 quarts
Step-by-step explanation:
We can solve this problem by using the rule of three. As seen in the picture below we need to find the X. We do this by multiplying 161 sq. ft. diagonally by 3 quarts and then dividing by 120 sq. ft. This will give us the number of quarts needed for the kitchen wall. Then we simply repeat the process for the bathroom wall and we are done. Like so ...
[tex]\frac{161 sq. ft. * 3 quarts}{120 sq. ft.} = x[/tex]
[tex]4.025 quarts = x[/tex]
[tex]\frac{119sq. ft. * 3 quarts}{120 sq. ft} = x[/tex]
[tex]2.975 quarts = x[/tex]
Therefore we need 4.025 quarts for the kitchen wall and 2.975 quarts for the bathroom wall ... making that a total of 7 quarts.
can someone answer this? 15x3y2 – 30xy and this? 4x5 – 8x4 – 4x3?
Answer:
first one is 135xy^2-30xy
the second one is 4x^3(x^2-2x-1)
Step-by-step explanation:
You can't simplify it any more than it is right now.
How do I find the scale factor and find the unknown lengths help please
Step-by-step explanation:
The scale factor is the ratio between corresponding sides.
18 / 6 = 3
Find the other sides using the scale factor.
x / 9 = 3
x = 27
y / 10 = 3
y = 30
Which statement best describes the graph and system of equations?
4y - x = 8
x - 4y = 12
A( infinite solutions
B( no solution
C( one solution
D( not enough information
how to solve this 58+5x+10=11x+2
Answer:
11 = x
Step-by-step explanation:
58+5x+10 = 11x+2
68+5x = 11x+2
-5x = -5x
68 = 6x+2
-2 -2
66 = 6x
66/6 = 6x/6
11 = x
Hope this helps!
Answer:
x = 11
Step-by-step explanation:
58 + 5x + 10 = 11x + 2
First, combine like terms
68 + 5x = 11x + 2
Subtract 5x from both sides of the equation
68 = 6x + 2
Subtract 2 from both sides of the equatino
66 = 6x
Divide both sides by six to get your answer
11 = x
I hope this helps :)
The perimeter of your closet is equal to 18 feet. The difference of the length and the width equals 1 foot. Write a system of linear equations which represent the perimeter of your closet in respect to its width (x-axis) and length ( y-axis), and solve the system by graphing.
9514 1404 393
Answer:
length: y = 5
width: x = 4
Step-by-step explanation:
The perimeter is twice the sum of length and width:
P = 2(L+W)
18 = 2(y +x) . . . . . using the given values
The difference in dimensions can be expressed as ...
y -x = 1
When the above two equations are graphed, we see the solution is ...
(x, y) = (4, 5)
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $75.00
Markdown: 34%
The sale price is, in dollars, is:
Answer:
23.9$
Step-by-step explanation:
IM smart
Answer:
$49.50
Step-by-step explanation:
Star A is about 3.4 x10^18 miles from earth. star B is 6.8 x 10^16 miles from earth.Star A is how many times as far from Earth as Star B? I
Answer: It's 50
Step-by-step explanation:
3.4 divided by 6.8 is 0.5 and 18-16 (the exponents) is 2. since ur dividing your subtracting the exponents. so then u get 0.5*10^2 but it cant be lower than 1 so u move the decimal in 0.5 one space to the right which then leads you to get 5*10^1 or 5*10 which is 50.
Given that triangle ABC~ Triangle DEF solve for x
Answer:
x=6
bcz 5×7=35
6×7=42
7×7=49
Answer:
B
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{35}{5}[/tex] = [tex]\frac{42}{x}[/tex] ( cross- multiply )
35x = 210 ( divide both sides by 35 )
x = 6 → B
WILL GIVE BRAINLIEST
Add the two complex numbers 6 + 7i and 10 + 2i
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello~}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
1.) [tex]6+7i[/tex]:
✺ The modulus of a complex number is:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]6+7i[/tex] is:
[tex]\sqrt{85}[/tex] ≈ [tex]9.219544457[/tex]2.) [tex]10 + 2i[/tex]:
✺ The modulus of a complex number is:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]10 + 2i[/tex] is:
[tex]2\sqrt{26}[/tex] ≈ [tex]10.198039027[/tex]3.) [tex]6+7i+10 + 2i[/tex]:
✺ Combine the real and imaginary parts in [tex]6+7i+10+2i[/tex]:
[tex]|6+10+(7+2)i|[/tex]✺ Do the additions in [tex]6+10+(7+2)i[/tex]:
[tex]|16+9i|[/tex]✺ Solve the complex modulus using the formula:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]16+9i[/tex] is:
[tex]\sqrt{337}[/tex] ≈ [tex]18.357559751[/tex][tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
Simplify: 45÷3+2×8-12+42
Show working
A virus is spreading around Dover. At the moment, 310 people are infected. If the virus is spreading at a rate of 10% each day, how many people in all will have caught the virus in 14 days?
Answer:
434 people
Step-by-step explanation:
10% of 310 is 31
so, 31 × 14 days is 434
so its 434 people
Question 1 (2 points)
Your math class just went from 32 students to 24 students because some kids left to join a real life Fortnite
tournament. What is the percent of decrease?
0 а
8%
Ob
20%
Ос
25%
Od
40%
PLSSS HELPP
Answer:8
Step-by-step explanation:
Tammy took a five-hour flight to Denver, Colorado. She traveled
1,940 miles in all. If she traveled the same number of miles each hour, how many
miles did she travel in once hour?
Answer:
388 miles in one hour.
Step-by-step explanation:
You divide 1,940 by 5.
Answer:
388
Step-by-step explanation:
Please help me n with this question
Answer:
yes
Step-by-step explanation:
HELPPPPPPPPPP ITS DUEEEEEEEEEEEEEEEE
Answer:
Look below.
Step-by-step explanation:
1.) Alternate exterior
2.) Alternate interior
3.) Same-side interior
4.) Vertical
5.) Corresponding
6.) Alternate exterior
Which is the independent variable in this graph?
population
straight lines
years
United States
Answer:
It’s years :)
Step-by-step explanation:
worth 20 points! need help badly
Answer:
Step-by-step explanation:
FIRST ONE GOES WITH 5TH ONE 2 ONE GOES WITH 1 ONE AND LAST ONE GOES WITH 4 TH ONE
Explain! Brainliest!
Answer:
Step-by-step explanation:
The LCM (lest common multiple) of 6 and 8 is 24
the multiples of 8 are 8, 16, 24, 32...
the multiples of 6 are 6, 12, 18, 24, 30...
They have 24 in common, so 24 is the answer
Answer:
B: 24
Step-by-step explanation:
the multiples of 8 are 8, 16, 24, 32...
the multiples of 6 are 6, 12, 18, 24, 30...
24 is the least common multiple that id the same with both numbers
Mr. Vasquez ordered 5,512 pounds
of bananas each month for his
grocery store last year. How many
pounds of bananas did he order last
year?
Answer:
66,114 pounds of bananas.
Step-by-step explanation:
There are 12 months in a year, multiply 5,512 and 12 to get one year.
Which is correct equation , in slope intercept form , for the line described below?
x-intercept =-2
Y-intercept=6
Answer:
[tex]y=3x+6[/tex]
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Being m the slope and b the y-intercept.
We are given two points for the required line: The x-intercept is -2, thus the point is (-2,0), and the y-intercept b=6 represents the point (0,6).
Since the value of b is 6, we use the first point to find the slope:
[tex]0=m(-2)+6[/tex]
Solving:
m=3
The correct equation of the line is:
[tex]\boxed{y=3x+6}[/tex]
the green figure rotated 180 degrees about the origin
Answer: yes the green one rotate a 180 is correct
Step-by-step explanation: only you need see the question and you see if is correct
