Answer:
12 and 8
Step-by-step explanation:
the difference is 4 if you do 12-8=4
the product sum is 96 which is 12*8=96
Answer:
12 and 8
Step-by-step explanation:
Let the numbers be x and y
x - y = 4 ................(1)
xy = 96 ..................(2)
From equation 1
x = 4+y ..............(3)
Put x = 4+ y into equation 2
y(4+y) = 96
y² +4y = 96
y² + 4y - 96 = 0
Solve quadratically using factorisation method
y² + 12y - 8y - 96 =0
y(y+12) - 8 ( y + 12) = 0
(y +12)(y -8) = 0
y = -12 or 8
When y = -12
x = 4+y = 4-12 = -8
When y= 8
x = 4+y = 4+8 =12
Numbers are 12 and 8 or -8 and -12
I hope this was helpful, please mark as brainliest
43
[tex]43 \div 72[/tex]
Answer:
0.5972222 (2 repeats forever)
Step-by-step explanation:
Hope that helps!
Answer:
0.5972
Step-by-step explanation:
43 ÷ 72 = 0.59722222222....
This (2) is a repeating decimal.
miss Matthews received 2 3/8 pounds of chocolate for her birthday she then received 1 7/8 for Valentine’s Day how many pounds of chocolate did she receive
H(y)=9/5 • 2y at y=-2
Answer:
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]
Step-by-step explanation:
We want to evaluate the equation
[tex]H(y) = \frac{9}{5} \times 2y[/tex]
at y=-2
We just have to substitute to obtain;
[tex]H( - 2) = \frac{9}{5} \times 2 \times - 2[/tex]
We now multiply to get:
[tex]H( - 2) = \frac{9}{5} \times - 4[/tex]
This is the same as:
[tex]H( - 2) = \frac{9}{5} \times \frac{ - 4}{1} [/tex]
We multiply the numerators separately and denominators separately to get:
[tex]H( - 2) = \frac{9 \times - 4}{5 \times 1} [/tex]
[tex]H( - 2) = \frac{ - 36}{5} [/tex]
This implies that
[tex]H( - 2) = - 7 \frac{1}{5} [/tex]
Tony asks 8 people to name their favorite pet. Of the people he asks 2 out of 8 chose rabbit and the fraction of people who choose cat is equal to the fraction of the people choose dogs.
Question
What fraction choose dogs?
Answer:
[tex]\frac {3}{8}[/tex]
Step-by-step explanation:
When 2 choose rabbits then to get the number that choose other anomals apart from dogs is given by getting the difference between total people and those who choose dogs. This then is expressed as 8-2=6 choose either cat or dogs. These six, half of them choose choose cats and the remaining choose dogs. Therefore 6/2=3
For 3 out of 8, this fraction is equal to
[tex]\frac {3}{8}[/tex]
Therefore, the fraction that choose dogs or cats is equal to
[tex]\frac {3}{8}[/tex]
Which of the following provides the best description of the function of genes?
A. Ridding individual cells of waste products.
B. Relaying information from the environment.
C. Producing energy through cellular respiration.
D. Controlling the production of specific proteins.
Answer: A
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Genes are our genetic makeup. The way we look, act, talk etc. The way they work is to make protiens for our DNA, as in produce "specific" proteins for ourself.
So when you simplify 92/4 + 10 + 4/10 what do you get
Answer:
33 1/5
Step-by-step explanation:
Turn 92/4 into a mixed number to make this problem easier, which equals 23. So the equation will look like: 23 + 10 + 4/10. Now add them all together and you will get 23 + 10 + 4/10 = 33 4/10. Now simplify 33 4/10 and you will get 33 1/5
Answer:
Step-by-step explanation:
92 /4 +10+4/10
=23+10+ 4/10
=33+4/10
=33+2/5
=167/5
Tanya is making a scale model of a tower. The tower is 90m tall and 22.5m wide . Tanya’s model is 4.5 com wide. How tall is her model?
Answer:
20
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities below? y>2x+1 y<2x-3
Option D: Graph C is the solution to the system of linear inequalities.
Explanation:
The system of linear inequalities are [tex]y \geq 2 x+1[/tex] and [tex]y<-2 x-3[/tex]
Let us graph the inequality [tex]y \geq 2 x+1[/tex]
Let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y \geq 2 x+1[/tex], we get,
[tex]0 \geq 2 (0)+1[/tex]
[tex]0 \geq1[/tex]
This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]
Thus, let us shade the upper part of the line in the graph.
Similarly, let us substitute the coordinate [tex](0,0)[/tex] in the inequality [tex]y<-2 x-3[/tex], we get,
[tex]0<-2 (0)-3[/tex]
[tex]0<-3[/tex]
This is false. Hence, the solution does not contain the coordinate [tex](0,0)[/tex]
Thus, let us shade the lower part of the line in the graph.
The solution to the system of linear inequality is the intersection of the two regions.
Thus, the solution of the inequality is Graph C.
Hence, Option D is the correct answer.
Which relation is not a function?
[tex]y = \pm\sqrt{x}[/tex]
==================================================
Explanation:
The plus/minus indicates we have two equations, and they are
[tex]y = \sqrt{x} \text{ or } y = -\sqrt{x}[/tex]
If x is say x = 4, then y is both y = 2 and y = -2 at the same time.
A function is where any x input leads to exactly one and only one y output (assuming the x value is in the domain). Graphing out choice D shows that it fails the vertical line test. This is where a vertical line crosses through more than one point on the graph. For the other answer choices, it is impossible to draw a vertical line through more than one point on the graph, which visually shows they are functions.
Identify the numerical coefficient.
5b^6
Answer:
5
Step-by-step explanation:
a line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3
Answer:
y=-2
Step-by-step explanation:
Hello : let A(-3,-4) B(6,2)
the slope is : (YB - YA)/(XB -XA)
(2+4)/(6+3) = 6/9 = 2/3
an equation is the line is : y = ax+b a is a slope
y = (2/3)x+b
but this line passes by (6;2)
so : 2 = (2/3)(6)+b
b = -2
the equation is : y = (2/3)x-2
the the Y intercept of this line when : x= 0 so : y = (2/3)(0)-2
y=-2
Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters.
The width is 2x + 6 centimeters, and is of the length. What are the dimensions
of the canvas?
Answer:
Length:15 cm
Width: 12 cm
Step-by-step explanation:
The complete question is
Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. The width is 2x + 6 centimeters, and is 4/5 of the length. What are the dimensions of the canvas?
Let
L ----> the length of the rectangular canvas
W ---> the width of the rectangular canvas
we know that
The width is 4/5 of the length
so
[tex]W=\frac{4}{5}L[/tex] ----> equation A
substitute the given values in equation A
[tex](2x+6)=\frac{4}{5}(6x-3)[/tex]
solve for x
[tex]10x+30=24x-12\\24x-10x=30+12\\14x=42\\x=3[/tex]
Find the dimensions of the canvas
substitute the value of x
[tex]L=6(3)-3=15\ cm[/tex]
[tex]W=2(3)+6=12\ cm[/tex]
The mixed number 4 1/2 is equal to which improper fraction?
A.)8/2
B.)9/2
C.)5/2
D.)4/2
Answer:
B) 9/2
Step-by-step explanation:
4½ = 4 + ½
= 8/2 + 1/2 = 9/2
Answer: 9/2
Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.
So here, we multiply the denominator, 2, times the whole number, 4, then we add the numerator, 1. So we have (2 × 4) + 1 of 8 + 1 which is 9.
Finally, we put our new number over our old denominator and we have our answer, 9/2. There is also an image provided showing my work.
So 4 and 1/2 can be rewritten as the improper fraction 9/2.
please help...its for Delta math. will mark brainliest and I will be ur friend♥
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If [tex]x= 10,[/tex] [tex]y = 1,300 (\frac{1}{2})^{\frac{10}{69} } = 1,300 (0.9044) = 1,175.72.[/tex]
If [tex]x=11,[/tex][tex]y = 1,300 (\frac{1}{2})^{\frac{11}{69} } = 1,300 (0.8953) = 1,163.89.[/tex]
So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change [tex]= \frac{y(x=11) - y(x=10)}{y(x=10)}.[/tex]
Substituting the values, we get
The percentage rate of change [tex]=\frac{1,175.72-1,163.89}{1,175.72}(100) = 1.00619\%[/tex].
As the values of y decrease with an increase in x, it is the percent decrease per unit.
Answer:
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Because your Beautiful
What is the estimate sum of 3 4/15
Answer:
a good estimate of the sum of 3 and 4/15 is 3 1/4.
Step-by-step explanation:
4/15 is close to 4/16, or 1/4, so a good estimate of the sum of 3 and 4/15 is
3 1/4.
Solve this: 2x+y=-7y Y=x+10
Answer:
In this equation, when x = -8 , Y = 2
Answer check using either equation =
(1) 2x + y = -7y ===> 2(-8) + 2 = -7(2) ===> -14 = -14
(2) Y= x + 10 ===> 2 = -8 + 10 ===> 2 = 2
Step-by-step explanation:
Assuming that you are looking for "x" and "y", Let
2x + y = -7y ................. (1)
Y= x + 10 ................. (2)
From equation (2), Y = x + 10, therefore substitute for "Y" in equation (1) to get the value of "x"
2x + x + 10 = -7(x + 10)
3x + 10 = -7x - 70
gather like terms on each side.
3x + 7x = -70 - 10
10x = -80
divide through by 10
x = -8
Now substitute for "x" in equation (2)
Y = x + 10
Y = -8 + 10
Y = 2
what is the simple interest , help asap . thank you .
$ 850 , 4% , 6 months
Answer:
I = 2.04.
Step-by-step explanation:
From the question we are asked that what is the simple interest ,
$ 850 , 4% , 6 months
using the formula
simple interest = prt/100
I = interest
P= principal
R = rate.
our P = $850
R = 4% = 4/100 = 0.04
T = 6months
I = (850 × 0.04 × 6)/ 100
I = 204/100
I = 2.04.
Cassie bought A new sweater at the mall. its original price was $60, but there was a 10% discount. how much did gossipy for this weather
Answer: $54
Step-by-step explanation:
Original price = $60
10% discount= 10/100 × 60
= 0.01 × 60 = $6
Amount cassie paid for the sweater is original price - discount
=$60 - 6
= $54
I hope this helps
Answer:
54$
Step-by-step explanation:
Which of the following represents the factorization of the binomial below ? X2-121
Answer:
(x+11)(x-11)
Step-by-step explanation:
A ^2 - B ^2 =(A+B) (A-B).. (*)
x^2 - 121=
x^2 - 11^2=(*)
(x+11)(x-11)
Expand the polynomial: (6x^2−11y^3)(−6x^2−11y^3)
on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .
Step-by-step explanation:
We have , (6x^2−11y^3)(−6x^2−11y^3):
[tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]
⇒ [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex]
We know that :
[tex](a +b)(c+d) = (ac+ad+ad+bd)[/tex]
⇒ [tex](6x^2(-6x^2) - 11y^3(-6x^2) )+(6x^2(-11y^3) + (-11y^3)(-11y^3))[/tex]
⇒ [tex](-36x^4+66x^2y^3 -66x^2y^3 + 121y^6)[/tex]
⇒ [tex](-36x^4+ 121y^6)[/tex]
⇒ [tex]121y^6 -36x^4[/tex]
Therefore, on expanding polynomial (6x^2−11y^3)(−6x^2−11y^3) or [tex](6x^2-11y^3)(-6x^2-11y^3)[/tex] is [tex]121y^6 -36x^4[/tex] .
What is the solution to the inequality 4(x + 2) + 12 > 100
In an office building, an elevator has a maximum carrying capacity of 2,700 pounds. Based on the average weight (180 pounds male) (150 pounds female) how many males and females can fit on the elevator.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of males on the elevator
y ----> the number of females on the elevator
we know that
The inequality that represent this situation is
[tex]180x+150y\leq 2,700[/tex]
The solution of the inequality is the shaded area below the solid line [tex]180x+150y=2,700[/tex]
The slope of the solid line is negative
The y-intercept of the solid line is (0,18)
The x-intercept of the solid line is (15,0)
see the attached figure
The solution is the triangular shaded area
The maximum number of females is 18 (when the number of males is zero)
The maximum number of males is 15 (when the number of females is zero)
If twice a number, n, is 5 less than the number squared, which of the following equations could be used to properly solve for n?
Answer:
2n - 5 = n^2 (or n squared)
The equation that could be used to properly solve for n is [tex]n^2 - 2n - 5 = 0[/tex]
Mathematical equationsTo properly solve for the number, n, based on the given information, you can use the equation:
[tex]2n = n^2 - 5[/tex]
This equation represents the statement "Twice a number, n, is 5 less than the number squared." It sets the twice of the number (2n) equal to the number squared minus 5 (n^2 - 5).
To solve for n, you can rearrange the equation as follows:
[tex]n^2 - 2n - 5 = 0[/tex]
You can then solve this quadratic equation for n using methods such as factoring, completing the square, or the quadratic formula.
More on mathematical equations can be found here: https://brainly.com/question/29514785
#SPJ3
Amira has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last.
Answer:15
Step-by-step explanation:
You have to divide the fractions so it 3/4÷1/10 then you can do keep change flip so the new equation is 3/4×10/1 or 3/4×10 then cross simply then get 3/2×5/1 to get 15/2 then use division to get 7 1/2
Amira's cat food will last 7.5 weeks, considering the cat eats 1/10 of a bag per week.
To find out how many weeks the cat food will last, you can divide the amount of food Amira has by the amount her cat eats per week.
First, let's calculate how much her cat eats per week:
1/10 of a bag per week.
Now, let's calculate how many weeks the food will last:
(3/4) / (1/10)
To divide fractions, you can multiply by the reciprocal of the divisor:
(3/4) * (10/1) = (3/4) * 10 = (3 * 10) / 4 = 30/4
Now, let's simplify 30/4:
30 divided by 4 equals 7 with a remainder of 2, so 30/4 = 7 + 2/4
Since 2/4 simplifies to 1/2, we get:
7 + 1/2 = 7.5
So, the cat food will last approximately 7.5 weeks.
A daycare made $40 during their first month in business. They doubled the amount of money they earned each month. What is the total amount of money they earned after a year? $4096 $81,900 $163,800 $81,920
please give answer and way you found it im trying to learn but the way my teacher explained it doesn't make sense
Answer:
$81,920
Step-by-step explanation:
money made by january: $40
double that
money made by february: $80
double that
money made by march: $160
double that
money made by april: $320
double that
money made by may: $640
double that
money made by june: $1,280
double that
money made by july: $2,560
double that
money made by august: $5,120
double that
money made by september: $10,240
double that
money made by october: $20,480
double that
money made by november: $40,960
double that
money made by december: $81,920
the total money they made by the end of the year (december) was $81,920
Answer:
$163,800
Step-by-step explanation:
40, 80, 160, 320...
It's a geometric progression
With first term = 40
Common ratio = 80/40 = 2
After 1 year is 12 months
Find S12.
S12 = 40(2¹² - 1)/(2 -1)
= 163800
Use the distributive property to solve : 20 (30 - 15) =
Answer:
the distribute property is basically taking the number outside the parenthesis and multiplying with the numbers inside each by each.
Step-by-step explanation:
20(30-15)
20×30= 600, and 20×15=300
finally you just use the new numbers and solve the solution which is 600-300. The answer is 300
Answer: 300
Step-by-step explanation: The distributive property tells us that when there's a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.
So in this problem, we can multiply 20 (30) - 20 (15) which simplifies to 600 - 300 which is 300.
chords ac and bd intercept at e if ae=6 ec=12 and dc=18 how long is be
Option A:
The length of BE is 4.
Solution:
Given data:
AE = 6, EC = 12 and DE = 18
To find the length of BE:
If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.
⇒ AE × EC = DE × BE
⇒ 6 × 12 = 18 × BE
⇒ 72 = 18 × BE
Divide by 18 on both sides of the equation.
⇒ 4 = BE
Switch the sides.
⇒ BE = 4
The length of BE is 4.
Option A is the correct answer.
Find the missing side
Answer:
7
Step-by-step explanation:
1: 6 X _ = 18
2: 18/6 = 3
3: 21/3 = 7
Trish made a few pans of Brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If there were a total of 84 brownies, how many pans of brownies did Trish make.
Answer: 2 pans of brownies
Step-by-step explanation: ( i'm over 2 years late lol ) i drawed it because i'm lazy first draw rachels 5 pans ( just draw circles ) fill each circle up with 12 squares count them ( 60 ) now u need 24 more now on another piece of paper draw 2 circles and this is trish's side now fill each pan with 12 brownies trishs side has 24 brownies so....
|
trish | rachel
24 + 60 = 84
trish has 2 pans overall
What is the value of X?
x = 32
x = 36
II 111111
x = 37
(x + 15)
(4x - 20°
x = 40
Answer:
Option D, x = 40
Step-by-step explanation:
Since x and (4x - 20) are supplementary, that means they add up to 180 degrees.
Step 1: Make an equation
x + (4x - 20) = 180
Step 2: Combine like terms
x + 4x - 20 = 180
5x - 20 = 180
Step 3: Add 20 to both sides
5x - 20 + 20 = 180 + 20
5x = 200
Step 4: Divide both sides by 5
5x / 5 = 200 / 5
x = 40
Answer: Option D, x = 40