Answer:
32 cats in total
Step-by-step explanation:
so 18 siamese
the ratio was9:7=siameese:house
18=9 units
divide 9
2=1 unit
house=7 units
7 times 2=14
14 house cats
combined=siameese+house=18+14=32
Sorry this was the questions
9514 1404 393
Answer:
(c) 90 m
Step-by-step explanation:
The perimeter is the sum of the side lengths. Each of the lower-right and lower-left indents can be reversed to make the figure a 20 m by 25 m rectangle without changing the perimeter. Then the perimeter is ...
P = 2(L +W)
P = 2(25 m + 20 m) = 2(45 m)
P = 90 m
_____
If you start at the upper left corner and work clockwise, the perimeter is the sum of segment lengths ...
P = 20 m + 5 m + 8 m + 20 m + 4 m + 20 m + 8 m + 5 m
P = 90 m
__
The units must be given as part of the measurement of the perimeter. That is why choice B (90) is inappropriate.
The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%
Answer:
15,000,r=30%
Step-by-step explanation:
A tank contains 210 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.
Answer:
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
Step-by-step explanation:
The mass flow rate dA(t)/dt = mass flowing in - mass flowing out
Since water is pumped in at a rate of 3 L/min, and it contains no salt, the concentration in is thus 0 g/L. the mass flow in is thus 0 g/L × 3 L/min = 0 g/min.
Let A(t) be the mass present at any time, t. The concentration at any time ,t is thus A(t)/volume = A(t)/210. Since water flows out at a rate of 3 L/min, the mass flow out is thus, A(t)/210 g/L × 3 L/min = A(t)/70 g/min.
So, dA(t)/dt = mass flowing in - mass flowing out
dA(t)/dt = 0 g/min - A(t)/70 g/min
dA(t)/dt = - A(t)/70 g/min
Since the tank initially contains 30 g of salt, the initial mass of salt in the tank is 30 g. So A(0) = 30
So, the initial value problem is thus
dA(t)/dt = - A(t)/70 , A(0) = 30
Separating the variables, we have
dA(t)/A(t) = -dt/70
Integrating both sides, we have
∫dA(t)/A(t) = ∫-dt/70
㏑A(t) = -t/70 + C
taking exponents of both sides, we have
A(t) = exp(-t/70 + C)
A(t) = exp(-t/70)expC
[tex]A(t) = e^{-t/70}e^{C}\\A(t) = Ce^{-t/70} whereC = e^{C}[/tex]
A(0) = 30, So
[tex]A(0) = Ce^{-0/70}\\30 = Ce^{0}\\C = 30[/tex]
[tex]A(t) = 30e^{-t/70}[/tex]
The rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = \frac{d30e^{-t/70} }{dt} \\dA(t)/dt = -\frac{30e^{-t/70} }{70}\\dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex]
So, the rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
Please help me with mathematics.
Answer:
1.A+B=2y²+3x-x²+3x²-y²=y²+3x+2x²
2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²
3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²
4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²
5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy
=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²
6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²
PLEASE HELP ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY!
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 122.2°
a = 8 km
b = 10.4 km
Answer:
16.2
Step-by-step explanation:
Use the law of cos
c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)
=260.83
c = √260.83 = 16.15
The missing side of the triangle is 16.2 km (round to the nearest tenth)
What is law of cosines ?
If a, b, c are sides of a triangle & C be the angle opposite to side c, then
c²=a²+b²-2ab cosC
What is the missing side ?Here, in the given question, a = 8km & b = 10.4 km
Also the angle opposite to the third side c (say) is C = 122.2°
So, according to the law of cosines,
c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)
⇒ c²= 64+108.16-(-88.67)
⇒ c²= 172.16+88.67
⇒ c²= 260.83
⇒ c= √(260.83)
⇒ c= 16.15 = 16.2(approx)
So, the missing side = 16.2 km
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Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answer:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Who can answer this
Answer:
Check pdf
Step-by-step explanation:
Consider the factored form equation of parabola y = 2(x - 3) * (x + 1)
Answer:
a= x= 3, -1
b= x=1
c= (1, -8)
Step-by-by-step explanation:
For the show your work, you have to create the graph of the parabola. (attached image)
PLEASE HELP NOBODY KNOWS ? Mhmh
Answer:
76%
Step-by-step explanation:
Times the decimal by 100 to get a percent
basically moving the decimal 2 spaces to the right.
Choose all that correctly solve for the variable x
[tex]\frac{5}{2} x[/tex] = [tex]\frac{15}{2}[/tex]
x = 3
------------------------------------------------------------------------------
x + [tex]\frac{7}{2} = 7\\x
= \frac{7}{2}[/tex]
---------------------------------------------------------------------------------
x + 3 = [tex]\frac{21}{5}\\x
= \frac{5}{6}[/tex]
----------------------------------------------------------------------------
5x = \frac{11}{2}
x = |frac{10}{11}
Find the slope on the line.
Answer: -2 is the slope
(0,0) (1,4) (rise over run) *Y2 - Y1/X2 - X1*
X1= 0
Y1= 4
X2= 1
Y2= 2
2-4= -2
1-0= 1
-2/1= -2
the slope is -2
Which exponential function is represented by the table?
Answer:where the table at coss
Step-by-step explanation:
Josiah bought two pounds of strawberries for $9.60. What is the price, in dollars per ounce of strawberries? 1 pound = 1 pound= 16 ounces 16 ounces Before you try that problem, answer the question below. How many ounces of strawberries did Josiah buy?
Answer:
$0.30 per ounce
Step-by-step explanation:
16 ounces per pound
16 x 2 = 32 ounces per 2 pounds
9.60/32 = $0.30 per ounce
ill mark brainlist plss help
What is the volume of a cube with a side length of 3t5units?
Cube V = s3
Answer:
V=a3=33=27
Step-by-step explanation:
sorry if its wrong
the picture is the question
Answer:
Swap the direction of the inequality
Step-by-step explanation:
Anytime you multiply or divide by a negative number in an inequality, you flip the symbol so > turns into <
Write 13 1/5 as a decimal.
Answer:
13.2
Step-by-step explanation:
The Fraction 13 1/5 as a decimal is 13.2.
To write 13 1/5 as a decimal, we can divide the fraction part by the denominator:
1 divided by 5 = 0.2
Then, we add the whole number part to the decimal part:
= 13 + 0.2
= 13.2
Therefore, 13 1/5 as a decimal is 13.2.
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According to a recent warning from the FDA, grain-free food might be giving dogs a life- threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average blood pressure between four different food types (expensive grain-free dog food, cheap grain-free dog food, expensive dog food with grain included, and cheap dog food with grain included). What hypothesis test would be appropriate for analyzing the above scenario?
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Answer:
z test of independent averages
chi-squared goodness of fit test
ANOVA
test of two proportions
paired t-test
chi-squared test of independence
t test of independent averages
Step-by-step explanation:
Help me plzzzzzzzzzz.z.z.z.z.z.z..z.z.z.z
Answer:
Area of rectangle = 10 in.²
Area of triangle = 0.5 in.²
Square inches of plastic in bookmark = 9.5 in.²
Step-by-step explanation:
✔️Area of rectangle = Length × Width
Length = 5 in.
Width = 2 in.
Area of rectangle = 5 × 2 = 10 in.²
✔️Area of Triangle = ½*bh
b = 1 in.
h = 1 in.²
Area of triangle = ½*1*1
Area of triangle = 0.5 in.²
✔️Square inches of plastic in bookmark = area of rectangle - area of triangle
= 10 - 0.5 = 9.5 in²
A store is having a sale in which the cost of any item is 35% off. Which expression can be used to find the cost, x, of an item AFTER DISCOUNT?
Answer:
73373773737477374747373738
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
-
Step-by-step explanation:
a minus sign.
Answer:
Negative, should be the answer. if not I don't know what your teachers are on.
24) Identify the binomials
a) 100
c) al-a+ba
b) x+y-xy
d) z2+z
Answer:
b
Step-by-step explanation:
Your well wisher
Hope it will be helpful
the value of the expression x² - 2 ( x + 5 ) when x = 10.
Answer:
70
Step-by-step explanation:
10 2 - 2(10+5) = 100 - 2(10+5)=15
100 - 2 x 15 = 100 - 30
=70
60 Benjamin bought 6.2 pounds of rice. Each pound cost
$0.90. How much did he spend on rice?
Answer:
.9x 6.2= $5.58
.............
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 2 feet by 3 feet. What is the scale factor of this dilation? show work pls :(
Answer:
6
Step-by-step explanation:
2 ft = 24in so 4 to 24 is times 6
3ft=36 in and 6 to 46 is times 6
Answer:
6/1
Step-by-step explanation:
2ft=24 inches
3ft=36 inches
poster/original photo
24in/4in=6/1
36in/6in=6/1
6/1
180÷(4+16)-8×3+7×(2+3)
Answer:
111
Step-by-step explanation:
Use PEMDAS to solve this equation, so first we have to do parenthesis first. Simplify 4+16 to get 20. Simplify 2+3 to get 5. Therefore, the equation will now look like 180/(20)-8x3+7x(5). Because we can do either division or multiplication first, we have to solve the equation started from the left. Therefore, we do 180/20 which is 90. Then the equation will be 90-8x3+7x5. Multiply -8 and 3 together to get -24. Therefore, the equation will be 90-24+7x5. Because we always do multiplication/division before addition/subtraction. We have to do 7x5 which is equal to 35. Therefore, the equation will look like 90-24+35. Because there is only subtraction and addition now, we should start from the left hand side which is 90-24. Simplify this to get 76. Then the equation will be 76+35. Simplify this to get 111.
If this answer helps, please mark it as brainliest
The length of a rectangle is 20 inches less than twice the width. The perimeter of the rectangle is 86 inches. Find the dimensions of the rectangle.
Answer:
length=22
width=21
Step-by-step explanation:
let, length be x and width be y.
x=2y-20
2(x+y)=86
or, 2(2y-20+y)=86
or, 2(3y-20)=86
or, 6y-40=86
or, 6y= 126
or, y= 126/6
y= 21
x= 2×21-20 = 42-20 =22
y = 4x + 2
6x + 2y = 8
What is the value of x + y?
Answer:
24/7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringFunctionsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 4x + 2
6x + 2y = 8
Step 2: Solve for x
Substitution
Substitute in y: 6x + 2(4x + 2) = 8Factor GCF: 2[3x + (4x + 2)] = 8[Division Property of Equality] Divide 2 on both sides: 3x + 4x + 2 = 4Combine like terms [Addition]: 7x + 2 = 4[Subtraction Property of Equality] Subtract 2 on both sides: 7x = 2[Division Property of Equality] Divide 7 on both sides: x = 2/7Step 3: Solve for y
Substitute in x [Original equation]: y = 4(2/7) + 2Multiply: y = 8/7 + 2Add: y = 22/7Step 4: Evaluate
Substitute in variables: 2/7 + 22/7Add: 24/7PLEASE HELP!!!!!!!!!!!!
help lol solve for x
Answer:
x = 6
Step-by-step explanation:
(8x - 4)° + (3x + 17)° = (17x - 23)° => exterior angle theorem
Solve for x
8x - 4 + 3x + 17 = 17x - 23
Add like terms
11x + 13 = 17x - 23
11x - 17x = -13 - 23
-6x = -36
Divide both sides by -6
x = 6