Answer:
man's age = 54
daughter's age = 18
Step-by-step explanation:
x = man's age
y = daughters age
x = 3y
x - y = 36
substitute for x:
3y -y = 36
2y = 36
y = 18
x = 54
If a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.
It is given that, A man is three times as old as his daughter. If the difference in their ages is 36 years,
We have to find the ages of the father and daughter.
Suppose the age of the father and daughter will be x and y respectively.
If the man is three times as old as his daughter,
x = 3y
If the difference in their ages is 36 years
x - y = 36
Put the value of x as,
3y -y = 36
2y = 36
y = 18
x = 54
Thus, if a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.
.Learn more about the equation here,
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the product of (y + 2) and (y - 2) if y=7
All of the following should be considered when designing a study except __________. A. the type of research method to use B. how to interpret collected data C. who the participants will be D. the type of measurement to use Please select the best answer from the choices provided A B C D
Answer:
b. How to interpret collected data.
Step-by-step explanation:
Answer:
All of the following should be considered when designing a study except __________.
( A.) the type of research method to use
( B.) how to interpret collected data (ANSWER)
( C.) who the participants will be
( D.) the type of measurement to use
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 24
and AD = 12, what is the length of AC?
A
12
D
24
Answer: x=48
Step-by-step explanation:
The length AC of the right-angle triangle will be 48 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.
AC / AB = AB / AD
AC / 24 = 24 / 12
AC = 48 units
The length AC of the right-angle triangle will be 48 units.
More about the right-angle triangle link is given below.
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will give brainliest <3! please help! no fake answers please
Answer:
input 1 output 1 ×7 =7
input 2 output 2 ×7 =14
input 3 output 3 ×7=21
input 4 output 4×7=28
Answers are 7, 14, 21 and 28
18,250 new species are discovered each year on plane earth. how many are found each day? ( giving brainliest )
Answer:
50 species every day
Step-by-step explanation:
Find the distance between the two numbers on the number
line.
Answer:
3 1/2
Step-by-step explanation:
|-7| - |-3 1/2| = 3 1/2
Vicki made 3 quarts of lemonade to serve at her party. she will serve the lemonade in glasses that hold 1 cup of liquid each. how many of these glasses can Vicki fill with lemonade? ( giving extra points etc. )
A : 16
B : 12
C : 14
D : 8
Answer: 12, B
Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12
the tallest building in houston in 1,002 feet tall the tallest building in dallas is 307 yards tall which of the following is true F. the dallas building is 27 yd taller than the houston building G. the houston building is 27 yd taller than the dallas building H. the dallas building is 695 ft taller than the houston building J. the houston building is 695 ft taller than the dallas building A. 200 x 80 cm x 1 km/ 1,000 cm B. 200 x 80 cm x 1 cm/ 100 C. 200 x 80 cm x 100cm/1 m x 1,000 m/ 1 km D. 200 x 80 cm x 1 m/ 100 cm x 1 km/ 1,000 m
Answer:
The tallest building in the city is the Bank of America Plaza, which rises 921 feet (281 m) in Downtown Dallas and was completed in 1985.
Step-by-step explanation:
Answer:
G. the houston building is 27 yd taller than the dallas building
Step-by-step explanation:
1,002 ft
= 334 yards (Houston)
307 yards (Dallas)
F. Incorrect because the Houston building is taller.
G. 334 - 307 = 27 (This is true)
695 ft is not equal to 27 therefore, H and J are not true.
The area of the state of Nevada can be estimated using a trapezoid. Estimate the area of the state of Nevada.
A. 31,672 mi2
B. 78,980 mi2
C. 110,622 mi2
D. 131,327 mi2
Answer: 31,672 mi2
Step-by-step explanation:
The area of the state of Nevada can be estimated using a trapezoid
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were million barrels of oil in the well; six years later barrels remain.At what rate was the amount of oil in the well decreasing when there were barrels remaining
Answer:
The amount of oil was decreasing at 69300 barrels, yearly
Step-by-step explanation:
Given
[tex]Initial =1\ million[/tex]
[tex]6\ years\ later = 500,000[/tex]
Required
At what rate did oil decrease when 600000 barrels remain
To do this, we make use of the following notations
t = Time
A = Amount left in the well
So:
[tex]\frac{dA}{dt} = kA[/tex]
Where k represents the constant of proportionality
[tex]\frac{dA}{dt} = kA[/tex]
Multiply both sides by dt/A
[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]
[tex]\frac{dA}{A} = k\ dt[/tex]
Integrate both sides
[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]
[tex]ln\ A = kt + lnC[/tex]
Make A, the subject
[tex]A = Ce^{kt}[/tex]
[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial
So, we have:
[tex]A = Ce^{kt}[/tex]
[tex]1000000 = Ce^{k*0}[/tex]
[tex]1000000 = Ce^{0}[/tex]
[tex]1000000 = C*1[/tex]
[tex]1000000 = C[/tex]
[tex]C =1000000[/tex]
Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]
[tex]A = 1000000e^{kt}[/tex]
To solve for k;
[tex]6\ years\ later = 500,000[/tex]
i.e.
[tex]t = 6\ A = 500000[/tex]
So:
[tex]500000= 1000000e^{k*6}[/tex]
Divide both sides by 1000000
[tex]0.5= e^{k*6}[/tex]
Take natural logarithm (ln) of both sides
[tex]ln(0.5) = ln(e^{k*6})[/tex]
[tex]ln(0.5) = k*6[/tex]
Solve for k
[tex]k = \frac{ln(0.5)}{6}[/tex]
[tex]k = \frac{-0.693}{6}[/tex]
[tex]k = -0.1155[/tex]
Recall that:
[tex]\frac{dA}{dt} = kA[/tex]
Where
[tex]\frac{dA}{dt}[/tex] = Rate
So, when
[tex]A = 600000[/tex]
The rate is:
[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]
[tex]\frac{dA}{dt} = -69300[/tex]
Hence, the amount of oil was decreasing at 69300 barrels, yearly
Ben in n years old chloe is twice as old as Ben Dan is 5 years younger than Ben
The total of bens age, chloes age, and Dan’s age is T years
Find a formula for T in terms of n
Answer:
T = 4n - 5
Step-by-step explanation:
Ben = n
Chloe = 2n
Dan = n - 5
n + 2n + (n - 5) = T years
3n + n - 5 = T years
4n - 5 = T years
find the value for x y and z
Answer:
All triangles add up to 180 degrees so...
180 - 43 - 59 = 78 degrees.
So x - 78 degrees.
x and y are supplementary angles so...
180 - 78 = 102.
So y = 102.
180 - 102 - 49 = 29 degrees
So z = 29 degrees
Hope this helps!
Can someone please help me with this ?
Pls help ASAP I’ll pay u 30$ cash. App
Answer:
how about no
Step-by-step explanation:
Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 2?
Find the surface area of the cone.Use 3.14 for pi and round your answer to the nearest hundredth
Answer:
145.0 cm^2
Step-by-step explanation:
Given data
r= 4cm
l= 5cm
h=??
Apply Pythagoras theorem to find h we have
h^2= 4^2+5^2
h^2= 16+25
h^2= 41
h=√41
h= 6.4cm
Substitute into the formula for the surface area of cone
A=πr(r+√h^2+r^2)
A=3.14*4(4+√6.4^2+4^2)
A=12.56(4+√40.96+16)
A=12.56(4+√56.96)
A=12.56(4+7.547)
A=12.56*11.547
A=145.0 cm^2
THIS IS 7TH GRADE MATH SO ITS EASY
Answer:
b
Step-by-step explanation:
ab" that goes through points (0,9)
Write an exponential function in the form y
and (5,2187)
9514 1404 393
Answer:
y = 9(3^x)
Step-by-step explanation:
We assume you want a function in the form ...
y = a(b^x)
that passes through points (0, 9) and (5, 2187).
Filling in the given point values, we have ...
9 = a(b^0) = a
2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'
Dividing the second equation by 9 and taking the 5th root, we find b.
(2187/9) = b^5
243^(1/5) = b = 3
The exponential function is ...
y = 9(3^x)
3(4x – 2.5) = 5(0.4x + 10) + 33
what is the solution? ASAP
Answer:
3(4x - 2.5) = 5(0.4x + 10) + 33
3•(4•x - 2.5) = 5•(0.4•x + 10) + 33
10x = 90.5
x = 181/ 20
= 9.05
Step-by-step explanation:
9514 1404 393
Answer:
x = 9.05
Step-by-step explanation:
Start by eliminating parentheses.
12x -7.5 = 2.0x +50 +33
10x = 90.5 . . . . . . . . . . . . . add 7.5-2x
x = 9.05 . . . . . . . . . . divide by 10
Expand and simplify (2x - 3)(3x -5)
Answer:
Step-by-step explanation:
Bonjour,
2x*3x =6x²
2x* -5 = -10x
-3 * 3x = -9x
-3*-5 = 15
=>
6x² -10x - 9x +15 = 6x ² -19x +15
Answer:
6x^2 - 19x + 15.
Step-by-step explanation:
(2x - 3)(3x -5)
= 2x(3x - 5) - 3(3x - 5)
= 6x^2 - 10x - 9x + 15
= 6x^2 - 19x + 15.
$1,200 Is Invested in two different accounts paying 6% and 8% Interest. If a total of $81 Interest is earned after one year,
then how much money was Invested at 8%?
$1,200
$750
$450
$800
Answer:
It would be A
Step-by-step explanation:
If x + y = 5 and x - y = 3, then x^2 - y^2 = ?
A) 9
B) 15
C) 16
D) 25
E) 34
With steps pleaseee
Answer:
B) 15
Step-by-step explanation:
Using basic logic we find that x = 4 and y = 1
4^2 = 16
1^2 = 1
16 - 1 = 15
Please answer this properly
Answer:
1. Fraction = 0.36, 36% and 36/100
Find the volume of the cone
Answer:
100.53
Step-by-step explanation:
V = π r^2 h/3fill in what you know V= π 4^2 6/3solveFind the surface area
No link please and thank you
Answer:
1200 in^2
Step-by-step explanation:
SA = 2B + Ph
SA = 2(8 * 15 / 2) + 40(27)
SA = 1200
Can somebody help me?
Answer:I cannot see photo
find the area of the shape below
I WILL MARK BRAINLEST!!
Answer:
25.75 sq units
Step-by-step explanation:
Big triangle = 1/2 * 3.5 * 9 = 15.75
Tiny triangle = .5 * 2 * 2 = 2
Medium triangle = .5 * 2 * 5 = 5
square = 2 * 2
15.75 + 4 + 5 + 2
how much it must decrease 65432 to reach 100000
Answer:
165432
Step-by-step explanation:
165432 - 65432 = 100000
i will give lots of points for these 4 answers
Answer:
1&3 are wrong 4 and 2 are right
Step-by-step explanation:
may i be marked brainliest
£150 is divided between Nick, June & Sushil so that Nick gets twice as much as June, and
June gets three times as much as Sushil. How much does June get?
Answer:
Amount June get = £45
Step-by-step explanation:
Given:
Total amount divided = £150
Amount Nick get = 2 x Amount June get
Amount June get = 3 x Amount Sushil get
Find:
Amount divided between Nick June and Sushil
Computation:
Assume;
Amount Sushil get = a
Amount June get = 3 x Amount Sushil get
Amount June get = 3a
Amount Nick get = 2 x Amount June get
Amount Nick get = 2 x 3a
Amount Nick get = 6a
Amount Sushil get + Amount June get + Amount Nick get = Total amount
So,
a + 3a + 6a = 150
10a = 150
a = 15
So,
Amount Sushil get = £15
Amount June get = 3a
Amount June get = 3 x 15
Amount June get = £45
Amount Nick get = 6a
Amount Nick get = 6 x 15
Amount Nick get = £90