Answer:
The Ratio is 8:16.
Step-by-step explanation:
One side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increases by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answer:
Length = 8+7 = 15
Width = 8
Step-by-step explanation:
New
Length = x+7 , x+4
Width = x ,x+2
(x+7) x = (x+4)( x+2)
expand and simplify x =8
The length of the shorter side length of original rectangle is 8 inches and of original rectangle longer side length is 15 inches.
Area of rectangleLet l is the length and b is the breadth of the rectangle.
then the area of the rectangle is ab.
How to find the dimensions of the original rectangle?Given One side of a rectangle is 7 inches longer than another side.
then shorter side length is x and the large side length is 7+x.
then the area of the original rectangle is x(x+7)
Now calculate the sides of the new rectangle.
longer side of this rectangle decreases by 3 then new side is 7+x -3= 4+x
The shorter side increases by 2 inches then x+2.
So new rectangle area is (x+4)(x+2)
Both rectangle area is equal then
(x+4)(x+2) = x(x+7)
x² +2x+4x+8 = x²+7x
x²+6x+8 = x²+7x
x²-x²+7x-6x = 8
x = 8
Since a shorter side length is 8 inches and a longer side length is 8+7 =15 inches.
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At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, if 70 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
Step-by-step explanation:
49
HELPPPPPPPPPPPPPPPP:
Answer:
Formula of Mean= Efx/n
Formula of Median=n+1/2
I think it will help you
Can someone help me with this easy math problem.
It's a geometric sequence
common ratio=r=84/21=4First term 1.3125Formula:&
[tex]\\ \sf\longrightarrow a(n)[/tex]
[tex]\\ \sf\longrightarrow ar^{n-1}[/tex]
[tex]\\ \sf\longrightarrow 1.3125(4)^{n-1}[/tex]
I NEED HELP FAST
I will mark brainliest whoever gets it right
its b i know
Step-by-step explanation:
Consider the following incomplete deposit ticket: a deposit ticket. the amounts deposited were 491 dollars and 60 cents and 157 dollars and 68 cents. 68 dollars and 44 cents was taken out as cash. the total on the ticket is 686 dollars and 4 cents. what was the value of the third check tony deposited? a. $617.60 b. $105.20 c. $31.28 d. $36.76
Tony deposited three checks as given in deposite ticket. The amount of the third check that Tony deposited is given by: Option B: $105.20
How to get the resultant deposited amount?Resultant deposited amount = Deposited amount - The amount deducted.
We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.
Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.
The missing image of the deposite ticket is attached below.
From that image, we can see that:
Deposited amounts were: First check: $491.60 Second check: $157.68 Third check: $x (to find)Deducted amount was: $68.44Net deposite = $686.04Thus, the net deposited amount is:
Net deposite = deposited amounts - deduced amounts
686.04 = 491.6 + 157.68 + x - 68.44 (all in dollars)
[tex]686.04 = x+ 491.6 + 157.68 - 68.44\\686.04 = x + 580.84\\\\\text{Subtracting 580.04 from both the sides} \\\\686.04 - 580.84 = x\\x = 105.20 \: \rm dollars[/tex]
Net deposite = 105.20 (in dollars).
Thus, the amount of the third check that Tony deposited is given by: Option B: $105.20
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What happens when a base dissolves?
Answer:
When dissolved, bases release hydroxide ions, OH-(aq) into solution.
Step-by-step explanation:
Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"
Answer: It increases the concentration of OH- in solution.
Step-by-step explanation:
If f(x)= 3x^3+17x^2+22x+8 and x+4 is a factor of f(x), then find ALL the zeros of f(x) algebraically.
Answer:
The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)
Step-by-step explanation:
I got the question wrong
Answer:
Philadelphia
Step-by-step explanation:
Philadelphia
in 1990 the population was 1.6 million.in 2000 the population decreased to about 1.5 million.San Diego
in 1990 the population was 1.1 million.in 200 the population increased to about 1.2 millionHouston
in 1990 the population was 1.6 million.in 2000 the population increased to 2 million.Phoenix
in 1990 the population was 1 million.in 2000 the population increased to 1.2 million.
Explanation:
The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.
The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).
Only Philadelphia experiences population decline during this time period.
Find the product of 3.2 and 4.6
Answer:
7.8
Step-by-step explanation:
3.2 + 4.6 = 7.8 because 6+2 equals 8 and 4+3 equals 7 so 7.8
This circle passes through the points $(-1, 2)$, $(3,0)$ and $(9,0)$. The center of the circle is at $(h,k)$. What is the value of $h+k$?
Answer:
17
Step-by-step explanation:
The geometry program that drew the circle through the three given points wrote this equation for the circle:
(x -6)^2 +(y -11)^2 = 130
Compared to the standard form equation, ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
we can see that the center is (h, k) = (6, 11).
The sum h+k is 6+11 = 17.
__
Additional comment
The center is at the point of intersection of the perpendicular bisectors of chords of the circle.
Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.
We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is
y -1 = 2(x -1)
For x=6, the point of intersection of the chord bisectors is ...
y -1 = 2(6 -1) = 10
y = 11
The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.
The surface area and volume of a sphere are in the ratio of 3:7cm.What is the circumference of its great circle and volume
Answer:
Radius of sphere =1unit
SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31
∴V:S=1:3 cm
Step-by-step explanation:
Hope this helps. If any questions, please ask in comments.
Select the correct answer.
Consider the given function. Which graph represents the given function?
Answer:
Given:
f(x) = 5 when x < -2f(x) = 3 when -2 ≤ x < 0f(x) = 0 when 0 ≤ x < 2f(x) = -3 when x ≥ 2< or > = open circle
≤ or ≥ = closed circle
So we are looking for:
open circle at (-2, 5) with a line to the leftclosed circle at (-2, 3) with a line segment to an open circle at (0, 3)closed circle at (0, 0) with a line segment to an open circle at (2, 0)closed circle at (2, -3) with a line to the rightTherefore, the attached is the correct answer.
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's use section formula ~
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{mx_2 + nx_1}{m + n} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{my_2 + ny_1}{m + n} [/tex]
And since mid point divides a line segment Into two equal parts, m : n = 1 : 1
so, take m = n = 1
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{(1 \times - 1)+(1 \times - 2)}{ 1+ 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{- 1- 2}{ 2} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{ - 3}{ 2} [/tex]
Now, let's find y - coordinate ~
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{(1 \times - 5) + (1 \times - 4)}{1 + 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 5 - 4}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:y = \dfrac{ - 9}{2} [/tex]
So, coordinates of midpoint is ~
[tex]\qquad \sf \dashrightarrow \:( - \dfrac{3}{2} ,- \dfrac{9}{2} )[/tex]
please help!!! I need this and I also don't understand
Answer:
Step-by-step explanation:
(i)
PQRS is a parallelogram (given)
∴ QT = TS (Diagonals of a parallelogram bisects each other)
also, QT = RM (given)
∴TS = RM
PQRS is a parallelogram,
∴RT = PT (Diagonals of a parallelogram bisects each other)
also, SM = PT (given)
∴RT = SM
TS = RM
RT = SM
∴ RTSM is a parallelogram (both pairs of opposite sides are equal in length)
(ii)
QP // RS (Opposite sides of a parallelogram are parallel)
∴ ∡RQP = ∡NRS (Corresponding ∡s)
RTSM is a parallelogram(Proved above)
∴MS // RT (Opposite sides of a parallelogram are parallel)
∴NS//RP
∴∡RNS = ∡ QRP (Corresponding ∡s)
in ΔPQR and Δ NSR,
QP = RS (Opposite sides of a parallelogram are equal)
∡RQP = ∡NRS (Proved above)
∡RNS = ∡ QRP(Proved above)
∴ ΔPQR≡ΔSRN (AAS)
Corresponding sides of ≡ Δs are equal, ∴QR = RN
find two rational and irrational numbers between 2 and 2.5
Answer:
Rational:2.1,2.2
Irrational:[tex]\sqrt{5},\sqrt{6}[/tex]
Step-by-step explanation:
Trial and error
Please help meeeeeeeeeee
6x^3 - 15x^2 - 3x / 3x
simplify the polynomial
Answer:
6x³ - 15x² - 1
3x divided by 3x is 1
So, here we are to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]
We can simplify it as,
[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionThe function y = x^4 - 16x^2 has zeros at x = -4, x = 0, and x = _ and a y-Intercept at (0, _)
Answer:x=4 (0,0)
Step-by-step explanation:
Determine the zeros of function,factor the functions. Set the factored function equal to 0 and solve. Then find the y-y-intercept of the given function by setting x equal to 00and Solving for y.
What is the answer to v/-6+79<92
Answer:
v > - 78
Step-by-step explanation:
Version 1.
v
----------- < 92
-6 + 79
v
------------ < 92
73
v
------------ < 92(73)
73(73)
v < 6716
-------------------------------------
Version 2
v
------------ + 79 < 92
-6 -79 -79
v
(-) ------------ < 13(6)
6(6)
-v < 78
÷-1 ÷-1
v > -78
I hope this helps!
Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.They watched a video in the visitor center for 1/3 of that time. how much time did they spend watching the video
Answer: 45
Step-by-step explanation: 2 1/4 = 2hr and 15 min
1/3 of 2hr and 15 min = 45
Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Given that,
Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.
They watched a video in the visitor center for 1/3 of that time.
Total time spent by Nathan's family in the monument = 2 + 1/4 hours
= 9/4 hours
Fraction of time spend in watching the video = 1/3
Time spend in watching the video = 1/3 × 9/4
= 3/4 hour
= 45 minutes
Hence the time spent is 3/4 hour.
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Is it true that M is perpendicular to P?
Is it true that N is perpendicular to P?
need help, prettyy stuck!
yes it is true and second is false
A box of Cheerios is 2 inches wide, 8 inches long, and 12 inches high. The box is half empty. What is the
volume of Cheerios left in the box?
HELPPP
Answer: 96
Step-by-step explanation: formula for volume is lwh. 2 times 8 times 12 equals 192. divide that by 2 because there is only half left.
Please help i appreciate 1
Answer:
I'm talking about the boxes:
1st-false, there are 7/19, which is not more
2nd-true, there are 12/19 which is the most
3rd-true, 12/20 of the women like dancing
4th-false, 7/20 like dancing
5th-true, 13/20 don't like dancing
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
So:
[tex]9^2+13^2=c^2[/tex]
[tex]250 = c^2[/tex]
[tex]\sqrt{250} = \sqrt{c^2}[/tex]
[tex]c = 15.8113883[/tex]
OR (rounded)
[tex]c = 15.8[/tex]
Determine the simple interest earned p=$2000 r=4.6% T=4 years
Answer:
[tex]\boxed{\sf{I=368}}[/tex]Step-by-step explanation:
Use a simple interest formula.
Simple interest formula:
⇒ I=PrtP stands for principal R stands for interest rateT stands for interest time(P): Principal =$2000(R): Interest Rate =4.6%(T): Interest Time =4→ 2000*4.6%4
You have to convert 4.6% into a decimal form.
→ 4.6%=0.046
→ I=2000*0.046*4
Solve.
Multiply the numbers from left to right.
→ 2000*0.046*4=368
Therefore, the correct answer is 368.I hope this helps you! Let me know if my answer is wrong or not.
Giving Brainliest again!
(It's very easy)
Manny invested $8000 in an account that pays 6.5% simple interest. Manny will not make any additional deposits or withdrawals. How many years must the money stay invested for before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
Can someone help me find the domain of this??
RIGHT ANSWERS ONLY PLS
NO LINKS!
Answer:
D, assuming that the function continues past the line shown
Step-by-step explanation:
There is no reason that the X is ending on either side. There should be arrows on both ends of the graphed function though.
The coffee variety Arabica yields about 750 kg of coffee beans per hectare, while
Robusta yields about 1200 kg per hectare. Suppose that a plantation has a
hectares of Arabica and r hectares of Robusta.
a. Write an equation relating a and r if the plantation yields 1,000,000 kg of coffee.
b. On August 14, 2003, the world market price of coffee was $1.42 per kg of Arabica
and $0.73 per kg of Robusta. Write an equation relating a and r if the plantation
produces coffee worth $1,000,000.
Answer:
See belowStep-by-step explanation:
a)
Arabica coffee = 750aRobusta coffee = 1200rThe total amount coffee beans
750a + 1200r = 1000000 kgb)
The total amount of market price
1.42*750a + 0.73*1200r = 1000000 ⇒1065a + 876r = 1000000 dollarsAnswer:
a) 750a + 1200r = 1000000
b) 1065a + 876r = 1000000
Step-by-step explanation:
Define the variables:
Let a = number of hectares of Arabica beansLet r = number of hectares of Robusta beansPart (a)
Given:
Arabica coffee = 750 kg beans per hectareRobusta coffee = 1200 kg beans per hectareIf the plantation yields 1,000,000 kg of coffee:
⇒ 750a + 1200r = 1000000
Part (b)
Given:
Arabica beans = $1.42 per kgRobusta beans = $0.73 per kgIf the price of Arabica beans is $1.42 per kg, and Arabica yields about 750 kg per hectare, then the price per hectare of Arabica coffee beans is:
⇒ $1.42 × 750 = $1065 per hectare
If the price of Robusta beans is $0.73 per kg, and Robusta yields about 1200 kg per hectare, then the price per hectare of Robusta coffee beans is:
⇒ $0.73 × 1200 = $876 per hectare
Therefore, if the plantation produces coffee worth $1,000,000:
⇒ 1065a + 876r = 1000000
If 3/x = 5/y, what is the value of y/x?
Answer: 5/3
Step-by-step explanation:
1. 3/x = 5/y
2. Cross multiply
3y = 5x
3. Dividing the sides by 3
y = 5x/3
4. Dividing the sides by x
y/x = 5/3
Your local firefighters are having a fundraiser by selling tickets to an all you can eat pancake extravaganza. A child's ticket cost $6.50 each and an adult's ticket cost $8.50 each. They sell a total of 350 tickets and raise a total of $2695. How many children's tickets were sold?
Please Help!!
Answer:
140 child tickets were sold
Step-by-step explanation:
a = number of adult tickets
c = number of child tickets
a+c = 350
6.50 c + 8.50a = 2695
Multiply the first equation by -8.50 together
-8.50c -8.50c =-2975
Add this to the second equation to eliminate a
-8.50c -8.50c =-2975
6.50 c + 8.50a = 2695
---------------------------------
-2c + 0a = -280
Divide by -2
-2c/-2 = -280/-2
c = 140
