Answer:
34
Step-by-step explanation:
1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then
2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;
3. according to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;
4. if to make up the system of two equation and calculate the values of 'x' and 'y':
5. if x=34, then Caleb is 34 old now.
If f(x) = 6x and g(x) = 4x+1, find (fog)(x).
Answer:
a) 24x+6
Step-by-step explanation:
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?
Given :
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .
In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.
To Find :
How much will it cost to carpet the bedroom.
Solution :
Length of bedroom , l = 5.5 × 3 = 16.5 ft.
Width of bedroom , w = 3.25 × 3 = 9.75 ft.
SO, area of bed room is :
[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]
Now, cost to carpet the bedroom is :
[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]
Hence, this is the required solution.
The value of -31.45/-3.21 is around?
Whats the three numbers between 813 930
The numbers between 813-930 are 870,880,925.
It is required to find the three numbers.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Given:
We have to find the three numbers between 813 to 930.
Numbers between 813-930 are 870,880,925.
Therefore , the numbers between 813-930 are 870,880,925.
Learn more about real number here:
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find the value power of 3^4
Answer:
81
Step-by-step explanation:
3 ^4 =3 ×3 ×3 ×3 =81
I NEED HELPPPP
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)
Answer:
Step-by-step explanation:
Income tax = 9.8%
Housing = [tex]\frac{11400}{48900}\times 100[/tex]
= 23.3%
Food = [tex]\frac{7800}{48900}\times 100[/tex]
= 16.0%
Clothing = [tex]\frac{900}{48900}\times 100[/tex]
= 1.8%
Transportation = [tex]\frac{6000}{48900}\times 100[/tex]
= 12.3%
Insurance and medical = [tex]\frac{14400}{48900}\times 100[/tex]
= 29.5%
Entertainment = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Emergency funds = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for college = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for retirement = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Total = 100%
Answer:
Income tax = 9.8%
Housing =
= 23.3%
Food =
= 16.0%
Clothing =
= 1.8%
Transportation =
= 12.3%
Insurance and medical =
= 29.5%
Entertainment =
= 2.5%
Emergency funds =
= 1.2%
Savings for college =
= 1.2%
Savings for retirement =
= 2.5%
Total = 100%
Step-by-step explanation:
Solve the equation 4(0.2*-5)=12
Hey there!
[tex]Answer:\boxed{\text{FALSE}}[/tex]
[tex]Explanation:[/tex]
[tex]4(0.2\times-5)=12[/tex]
This equation is false because the value of 4(0.2 * -5) is not equal to 12.
Hope this helps!
Write each percent as a fraction
170%
120%
220%
Answer:
Step-by-step explanation:
1.17/10
2.6/5
3.11/5
answers:
170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]
120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]
220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]
hope this helps! best of luck <3
Evaluate –3^2+ (2 – 6)(10
Can you please help with this question
Answer:
all
Step-by-step explanation:
first we can combine 5x and - 2x
5x + -2x = 3x
now we have 3x + 5 > 11
now we can go through all of the numbers to see which numbers make the inequality true
3 yes
3 * 3 = 9
9 + 5 = 14
so all of the numbers make it true
Answer:
d is the right answer
Step-by-step explanation:
3x+5-2x>11
3(3)+5-2(3)>11
8>11
so a is wrong
3(5)+5-2(5)>11
10>11
so b is wrong
3(6)+5-2(6)>11
11>11
c is wrong bc they equal
Would the answer be 250 ?
find the value of x when lines w and v are parallel.
Answer: B. 17
Step-by-step explanation:
4x-3 = 65
Add 3 on both sides
4x = 68
Divide by 4 on both sides
x = 17
BOOM!
Answer:
B) 17
Step-by-step explanation:
A salesman need to sale 63 items to make it monthly go there are 18 selling days left in the month what is the average number of items you need to sell daily to reach his goal?
Answer:
He needs to sell an average of 3.5 items a day to reach his goal.
Step-by-step explanation:
To find the average he needs to sell, we need to divide the items he needs to sell by the number of days he has left to sell. He has 63 items and needs to sell them within 18 days.
63/18=3.5
He needs to sell an average of 3.5 items a day to reach his goal.
The salesman should sell 3.5 items on a daily average to reach his target when he needs to sell 63 items in 18 selling days.
What is average?The average is defined as the sum total of observations divided by the total number of observations.
How to solve the question?In the question, we are informed that a salesman needs to sell 63 items to make it monthly within 18 selling days left in the month.
We are asked the average number of items he should sell daily to reach his goal.
The average number of items per day can be calculated as the ratio of the total number of items left to the total number of days left.
Therefore, the average number of items per day = 63/18 = 3.5.
Learn more about averages at
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If x*y =
1, then 7 * 28 =
Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)
Convert to use rational exponents: [tex]\sqrt[3]{2}\sqrt[5]{2}[/tex]
-200 + {37}{3}4.5) -200 + 55.5
Answer:
-294.55
Step-by-step explanation:
-200+ 49.95 -200 +55.5
49.95+55.5-200-200
-294.55
MATH PLEASE HELP
heeeeeeeelp
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answer:1933
Step-by-step explanation:
3a+8+2ax≥3ax-4a what is a
Answer:
A=3 I'm 95% sure but if you're not sure then use PEMDAS
P-parentheses
E-exponets
M-multiply
D-divide
A-add
S-subtract
Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left
over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?
Answer:
18 tiles
Step-by-step explanation:
If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:
90 has the prime factors 2x3x3x5
72 has the prime factors 2x2x2x3x3
The prime factors that are common to both are 2, 3 and 3 which multiply together to get:
2x3x3 = 18
The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.
Hope this helped!
Determine whether the given ordered pair is a solution to the system of equations.
Yes or no?
(6,-1)
x-y=3
2x+5y=6
768 pages in 8 days = _____ pages per day
A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form
Answer:
y=2x+5
Step-by-step explanation:
The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.
Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;
m=change is y-coordinates/change in x-coordinate
m=Δy/Δx
m=y-3/x--1
2= y-3 / x+1
2(x+1) = y-3
2x +2 =y-3
2x=y-3-2
2x=y-5
y=2x+5 is the equation.
Answer:b
Step-by-step explanation:
Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the density of the object to the nearest tenths with proper units?
a.) 2 g/cm3
b.) 1.61 g/cm3
c.) 1.5 g/cm3
d.) 1.6 g/cm3
Find the coordinates of point P that partition AB in the
ratio 1:4.
Please give explanation
Answer:
(1.6, 0)
Step-by-step explanation:
Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.
Use the formuka below to find the coordinates of point P:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(1, -1) = (x_1, y_1) [/tex]
[tex] B(4, 4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 4 [/tex]
Solve by plugging the above values where necessary as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]
[tex] x = \frac{4 + 4}{5} [/tex]
[tex] x = \frac{8}{5} [/tex]
[tex] x = 1.6 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]
[tex] y = \frac{4 - 4}{5} [/tex]
[tex] y = \frac{0}{5} [/tex]
[tex] y = 0 [/tex]
The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)
factorize6 + 13mn + 7mn?
☽------------❀-------------☾
Hi there!
~
Let's simplify step-by-step.
[tex]6 + 13mn + 7mn[/tex]
Combine Like Terms:
[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Solve the system of equations using the tables below
Answer:
(x, y) = (0, 3)
Step-by-step explanation:
(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.
The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answer: 27 cm
Step-by-step explanation:
We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.
[tex]675\pi =\pi (5^2)h[/tex] [divide both sides by π]
[tex]675 = (5^2)h[/tex] [exponent]
[tex]675=25h[/tex] [divide both sides by 25]
[tex]h=27[/tex]
Now, we know that the height is 27 cm.
6th grade math pls help