Answer:
The present age of the woman is 37 years and her daughter is 7 years
Step-by-step explanation:
two years ago a woman was 7 times old as her daughter, but in 3 years time she would be 4 times old as the girl. how old are they now
Two years ago a woman wad 7 times as old as her daughter
Let her daughter=x-2
The woman=y-2
x-2
7(y-2)=7y-14
x-2=7y-14
x-7y=-14+2
x-7y= -12 (1)
but in 3 years time she would be 4 times as old as the girl.
x+3
y+3
x+3
4(y+3)=4y+12
x+3=4y+12
x-4y=12-3
x-4y=9. (2)
x-7y= -12 (1)
x-4y=9. (2)
Subtract (1) from (2)
4y-(-7y)=9-(-12)
-4y+7y=9+12
3y=21
y=21/3
y=7
Substitute
y=7 into (1)
x-7y= -12
x-7(7)=-12
x-49=-12
x= -12+49
=37
The present age of the woman is 37 years and her daughter is 7 years
Simplify 6 to the second power
Answer:
36Step-by-step explanation:
[tex]6^2 =6\times 6\\\\= 36[/tex]
1. An average orange has a mass of 270 grams. What is the mass of 8 oranges in kg?
.
.
2. 1 milliliter of ink can print 50 pages of text. If you had 100 gallons of ink then how many pages could you print? 1 gallon = 3.79L
.
.
3. If you are driving 55 miles per hour, how many feet per second are you traveling?
Convert hours to minutes:
Convert minutes to seconds: Convert miles to feet:
.
.
4. Ivan’s car has 40 L gas tank. If gas costs $3.67 per gallon how much does it cost to fill her tank?
1 L = .264 gallons
Convert liters to gallons: Calculate the cost of gasoline:
.
.
5. A child requires a 5 mL dose of medicine each day. How many days would a liter of this medicine last?
Answer:2.the answer is 189,250pages
Step-by-step explanation:
1L=1000ml
3.785=?3785
1ml=50pages
3785ml=?
The answer is 189,250
Find combinations using a school cafeterias meal! (20 POINTS! PLEASE HELP) Fruits: Apples, Bananas, and Grapes. Vegetables: Cauliflower, Carrot, and Corn. Protein: Green beans, Salmon, and Almonds. List all possible combinations and count the total number of possibilities.
Answer:
1. Apples, Cauliflower, Green beans
2. Apples, Cauliflower, Salmon
...
27. Grapes, Corn, Almonds
Step-by-step explanation:
There are 3x3x3 = 27 combinations possible. You can enumerate them systematically.
Answer:
There are 27 combinations possible.
Hope this helps!
gabys piggy bank contains nickles and dimes worth $5.15. If she has 66 coins in all, how many of each does she have
8.18
Step-by-step explanation:
8.18
pow pom wyh oqhw uwhwn 8.18 ge wk
Answer:
37 Dimes, 29 Nickels
Step-by-step explanation:
x= dimes
66-x = nickels
.1 (x) = dimes
.05 (66-x) = nickels
Solve
3.3 + 0.5x = 5.15
Solve again then you come out with
x= 37
66 - 37 = 29
Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68
Answer:
x = 60
Step-by-step explanation:
Given
[tex]\sqrt{x+4}[/tex] - 7 = 1 ( add 7 to both sides )
[tex]\sqrt{x+4}[/tex] = 8 ( square both sides )
([tex]\sqrt{x+4}[/tex] )² = 8² , that is
x + 4 = 64 ( subtract 4 from both sides )
x = 60
The area of the school garden is 31 1/4 ft. If the width is 6 3/5 ft, find the length.
Answer:
The length of the school garden is 4 97/132 feet
Step-by-step explanation:
Divide 31 1/4 by 6 3/5.
125/4 divided by 33/5 = 625/132
625/132 = 4 97/132
Hope this helps :)
The length of garden is 625/ 132 ft
what is area of rectangle?The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension
Area of a Rectangle. A = l × b.Given:
area of garden = 31 1/4 ft = 125/4
width = 6 3/5 ft = 33/5 ft
Now, area of garden
=length * width
125/4 = length * 33/5
length= 125/4 * 5/33
length = 625/ 132 ft
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Find the arc length of the partial circle.
Answer:
● 23.55 units
Step-by-step explanation:
Arc length = 5( 270 π/ 180)
= 7.5 π units
= 7.5 (3.14)
= 23.55 units
OAmalOHopeO.
============================================================
Explanation:
For now, we'll just find the perimeter of the full circle. The term "circumference" is the same as the perimeter of the circle.
Use the circumference formula to get
C = 2*pi*r
C = 2*3.14*5
C = 31.4
The distance around the full circle is approximately 31.4 units. It's approximate because pi = 3.14 is approximate.
We don't want the full distance around the circle. Instead, we want just the length of the green arc shown in the drawing. This is exactly 3/4 of the full circle, aka 3/4 = 0.75 = 75% of the full perimeter.
The length of the green arc is about 0.75*C = 0.75*31.4 = 23.55 units long. Imagine using a cloth ruler (used in tailoring clothes) as one way to confirm that this arc length is roughly 23.55 units long. Or you could imagine unwrapping this curved portion to lay it completely straight and flat against a ruler.
ABC Bookstore sells one customer 12 used books and 4 new books for $136.
Another customer buys 14 used books and 2 new books for $124. How much
is one used book (u), and one new book (n)?
Answer:
n=6 u=28/3
Step-by-step explanation:
system of equations
The number of used books sold will be 7 and that of the new book will be 9.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Given
Number of used books = u
Number of new books = v
In the first case;
12u + 4n = 136
In the second case;
28u + 4n = 248
By both equations,
u = 7 and n = 9
So the number of used books is 7 and the new is 9.
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*Do the equations have solutions? x2=x
Answer:
x = 1
Step-by-step explanation:
x² = x
x² / x = 1
x = 1
Check:
1² = 1
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
Answer:
The answer is A: 120yd^2
Step-by-step explanation:
Volume = Width x length x height
Volume = 8 x 3 x 5
Volume = 120
Answer:
120
Step-by-step explanation:
8*3*5
In the figure above, O is a circle. What is the
measure of obtuse angle AOB, in degrees?
Answer:
An obtuse angle is an angle that is bigger than 90° degrees, but doesn’t reach a straight line at 180°.
Step-by-step explanation:
i didnt see a figure above but this is the answer to "what is the measure if obtuse angle in degrees?"
Solve for ggg.
-3+5+6g=11-3g−3+5+6g=11−3g
Answer:
-3 + 5 + 6 g = 11 - 3 g - 3 + 5 + 6 g = 11 - 3 g
6 g + 2 = 3 g + 13 = 11 - 3 g
{g = 11/3, g = 1, g = -1/3}
{3 g = 11, g = 1, 3 g + 1 = 0}
{3 g + 13 = 2 (3 g + 1), 11 - 3 g = 2 (3 g + 1), 11 - 3 g = 3 g + 13}
A rectangular tank measures 60cm by 50cm by 40cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank?
Answer:
15 minutes
Step-by-step explanation:
60 x 50 x 40 = 120000
120000 cubic cm = 120 litres
120/8 m= 15
Ans : 15 min.
8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸
Answer: B:2^16
Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536
[tex]\boxed{\huge\text{Hey there!}}[/tex]
[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]
[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]
[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]
[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]
[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Write the explicit rule by writing each term as the product of the first term.
1.) N 1 2 3 4
F(n) 3 15 75 375
2.) 40, 60, 90, 135,
Answer:
1 f(n) = 3(5)^x-1
2 f(n) = 40(3/2)^x-1
Step-by-step explanation:
The first number in the sequence, times the (multiplicative factor)^ x-1 is the rule for geometric sequences.
Answer:
graph A on edge 2020
Step-by-step explanation:
I took the test
during a special seasonal sale,a wholesaler allows retailers trade discount of 15% and 10% for prompt cash payment.Calculate the cash price of an article which is marked 115 cedis
The cash price of the article is 88 cedis.
In this question, the article has a price, but paid in cash, there are two discounts.
Price of 115 cedis.Discount of 15%, thus, 1 - 0.15 = 0.85 is paid, that is, the price is multiplied by 0.85.Discount of 10%, thus 1 - 0.1 = 0.9 is paid, that is, the price is also multiplied by 0.9.Thus, the cash price is:
[tex]P = 115\times0.85\times0.9 = 88[/tex]
The cash price of the article is 88 cedis.
A similar question is given at: https://brainly.com/question/14738783
What is the range for the following
numbers?
5, 1, 12, 3, 4, 2, 10
Answer:
11
Step-by-step explanation:
Find the range by calculating the difference between the smallest and largest numbers in a set.
The smallest number is 1, and the largest number is 12.
Find the difference:
12 - 1
= 11
So, the range is 11.
Answer:
11
Step-by-step explanation:
1,2,,3,4,5,10,12
Range is lowest value subtracted from highest value so: 12 -1 = 11
answered by g a u t h m a t h
Last year, Mary opened an investment account with $5400. At the end of the year, the amount in the account
had decreased by 6%.
HELP ASAP THANKS!!!!!!!!!!!!!!! Brainliest to right answer!!!
Answer:
A & C
Step-by-step explanation:
A and C have a value of 1.4142 as does the problem in the question.
Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
Question 2 options:
(x,y) → (x – 4,y)
(x,y) → (x,y + 4)
(x,y) → (x,y – 4)
(x,y) → (x + 4,y)
Answer:
(x , y ) -----> (x , y -4)
Step-by-step explanation:
There is no change in x-coordinate
Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)
7 + a = 3
a = 3 - 7
a = -4
y-coordinate of A' = y-coordinate of A - 4
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answer:
She must jog 7 laps in order to meet her goal.
Step-by-step explanation:
A more accurate answer would be that she needs to run 6 1/4 laps to meet her goal. However, because the problem states that she will not be running partial laps, then the number of laps she runs must be a whole number, which in this case works out to be 7 laps.
If a graph is a line, it will always have a domain of all real numbers.
True or False
Answer:
i think its true.
Step-by-step explanation:
Hope it helps!
I need help with this question...
Q: Five days last month it rained 6.5 inches. It rained 3.5 inches in 7 days last month. How many inches did it rain those 12 days?
Answer:
57 inches
Step-by-step explanation:
It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days
If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
A.-6 and -1
B. -1 and 6
C. 1 and 6
D. -6 and 1
Answer:
I think C is the answer .
Step-by-step explanation:
If (x-6) and (x-1) are the factors of function f then remainder of function f is 0.
(x-6)(x-1) = 0
Either,
x-6 = 0
x = 6
and
x-1 = 0
x = 1
so 6 and 1 are the zeros or roots of function f.
Answer:
the answer is 1 and 6 :D
Step-by-step explanation:
Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really need help understanding this i know the answer i just need an explanation please help me
Answer:
x = 1, x = 2, x = 3
Step-by-step explanation:
Hello, please consider the following.
[tex](x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3[/tex]
So we need to solve:
[tex]x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\<=> x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0[/tex]
So, the solutions are x = 2, x = 1, x = 3
Thank you
FACTOR THIS EXPRESSION -385y LOOK AT THE SCREENSHOT THANKS AND BRAINLIST IF CORRECT PLEASE HELP
Answer:
-1*5*7*11*y
Step-by-step explanation:
This is the prime factorization of 385y times -1.
answer to this problem?
Answer:
The p is 4
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)
Answer:
A
Step-by-step explanation:
Both angles together are supplementary, or they add up to 180 degrees.
(3x+12)+x=180 degrees
Answer:A. (3x+12)+x=180
Step-by-step explanation:
The path a character takes to navigate a level of a video game is given in the following graph.
Piecewise function with a linear function going from a closed point at negative 12 comma negative 6 to an open point at negative 6 comma negative 6 and another linear function from a closed point at negative 6 comma negative 4 up to the point 2 comma 4 and then horizontally to a closed point at 8 comma 4 and then another linear function from an open point at 8 comma 0 down to a closed point at 14 comma negative 3
What is the domain?
The domain is the set of x values that has a corresponding y-values in a function or a graph.
The domain of the graph is: [tex]-10 \le x \le 10[/tex]
From the graph (see attachment), we have the following observation
The value of x starts from -10 (represented by the horizontal line from (-10,4) to (-4,4))The value x ends at 10 (represented by the slant line on the first quadrant)These values can be represented as:
[tex]x_1= -10[/tex]
[tex]x_2 = 10[/tex]
So, the domain of x is: [tex]-10 \le x \le 10[/tex]
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A student earned grades of , , , , and . Those courses had the corresponding numbers of credit hours , , , , and . The grading system assigns quality points to letter grades as follows: A4; B3; C2; D1; F 0. Compute the grade point average (GPA) as a weighted mean and round the result with two decimal places. If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list
Answer:
grade point average (GPA) as a weighted mean = 3.14
Yes, student makes the Dean's list.
Step-by-step explanation:
Since the data is not given I will explain the question with a relevant example:
For example
Data:
Students grades are: A, C, B, A, D
The corresponding number of credit hours: 3, 3, 3, 4, 1
The grading system assigns quality points to letter grades as:
A = 4
B = 3
C = 2
D = 1
F = 0
To find:
grade point average (GPA) as a weighted mean
If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list?
Solution:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
Here
Using the earned grades of A, C, B, A, D and corresponding quality points to these letter grades we get:
A = 4
C = 2
B = 3
A = 4
D = 1
So the values in x[tex]_{i}[/tex] are:
x
4
2
3
4
1
Now the number of credit hours are represented as weights w[tex]_{i}[/tex] :
w
3
3
3
4
1
In order to calculate weighted mean first multiply x[tex]_{i}[/tex] with w[tex]_{i}[/tex]
x[tex]_{i}[/tex] w[tex]_{i}[/tex]
4 * 3 = 12
2 * 3 = 6
3 * 3 = 9
4 * 4 = 16
1 * 1 = 1
The sum of x[tex]_{i}[/tex] w[tex]_{i}[/tex] is :
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 12 + 6 + 9 + 16 + 1 = 44
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 44
Now compute the sum of w[tex]_{i}[/tex]
Σw[tex]_{i}[/tex] = 3 + 3 + 3 + 4 + 1 = 14
Σw[tex]_{i}[/tex] = 14
Putting the values in the weighted mean formula:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
= 44 / 14
= 3.1429
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex] = 3.14
Since the Dean's list requires a GPA of 3.00 or greater and the grade point average (GPA) as a weighted mean of the student is 3.14 so the student makes the Dean's list because his/her GPA is higher than 3.00