Answer:
Zander starts with 7,000; Carly starts with 5,000
Step-by-step explanation:
1 - Visually solving
Looking at the final value (31,000) one could interpret the sums of the numbers tripled and doubled respectively would need to equate to 31,000.
Taking off the additional zeros could also prove beneficial. To get 31, one of the numbers tripled or doubled would need to either be 11 or 21. 11 is a prime number, so that can be cancelled out. 7 multiplied by 3 (triple) produces 21.
12 - 7 = 5. Solving for the leftover 5 which would be doubled, you would get 10.
10 + 21 = 31.
2 - Algebra
x - Zander; y - Carly
To begin with you should need the initial formula.
x + y = 12,000
Your second formula would then take into consideration the changes made to x and y
3x + 2y = 31,000.
Using process of elimination or substitution, (either method works), you will find x = 7,000 and y = 5,000
help please someone
Answer:
(fog)(x) =x –14
(gof)(x) =x
Step-by-step explanation:
[tex](fog)(x) = f(g(x)) \\ = 8( \frac{x - 7}{8} ) - 7 \\ = x - 7 - 7 \\ = x - 14[/tex]
[tex](gof)(x) = g(f(x)) \\ = \frac{(8x - 7) + 7}{8} \\ \\ = \frac{8x}{8} \\ \\ = x[/tex]
In ΔPQR, sin P = 0.2, sin R = 0.2 and r = 12. Find the length of p.
9514 1404 393
Answer:
p = 12
Step-by-step explanation:
The sines of the opposite angles are the same, so the lengths of the sides are the same.
p = 12
_____
The law of sines tells you ...
p/sin(P) = r/sin(R)
p/0.2 = 12/0.2 . . . . . . substitute given values
Multiply by 0.2 to get ...
p(0.2/0.2) = 12(0.2/0.2)
p = 12
PLEASEEEE HELPPP WITH THSI LLALST ONEEEE
Answer:
m∠AKD = 46°
Step-by-step explanation:
Answer:
<AKD = 46°Step-by-step explanation:
Given,
Measure of <AKG = 133°
So,
<AKG = <AKD + <DKG (As both together combine to form one <AKG as shown)
=> 133° = <AKD + 87°
=> <AKD = 133° - 87°
=> <AKD = 46° (Ans)
Calculus please help
Answer:
The balloon is rising at a rate of 50π/3 feet per minute.
Step-by-step explanation:
A weather balloon is rising vertically while being observed from a point who is exactly 300 feet away from the spot directly beneath the ground.
This is represented in the diagram below.
We want to find the rate at which the balloon is rising (i.e. find dh/dt) when the angle between the ground and the observer is π/6 (i.e. when θ = π/6), and is increasing at a rate of π/24 radians per minute (i.e. when dθ/dt = π/24).
Write a ratio relating the variables:
[tex]\displaystyle \tan \theta = \frac{h}{300}[/tex]
Take the derivative of both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\left[ \tan\theta\right] = \frac{d}{dt}\left[ \frac{h}{300}\right][/tex]
Implicitly Differentiate:
[tex]\displaystyle \sec^2\theta \cdot \frac{d\theta}{dt} = \frac{1}{300} \frac{dh}{dt}[/tex]
Substitute in known values:
[tex]\displaystyle \sec^2 \left(\frac{\pi}{6}\right) \left(\frac{\pi}{24}\right) = \frac{1}{300} \frac{dh}{dt}[/tex]
Solve for dh/dt:
[tex]\displaystyle \begin{aligned} \frac{dh}{dt} &= 300\left(\sec^2\left(\frac{\pi}{6}\right)\left(\frac{\pi}{24}\right)\right) \\ \\ &= 300\left(\frac{4}{3}\right)\left(\frac{\pi}{24}\right) \\ \\ &= \frac{50\pi}{3} \text{ feet per minute}\end{aligned}[/tex]
In conclusion, the balloon is rising at a rate of 50π/3 feet per minute.
9. The length of a garden is 2w + 4 and the width is w. What is the area of the garde
294738917263748hehejshdhf
Can someone please explain
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
Answer:
r = 5
Step-by-step explanation:
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)The sides of a triangle are opposite their angles. Therefore, in ΔPQR:
⇒ side r is opposite angle R
⇒ side p is opposite angle P
⇒ side q is opposite angle Q
Using the given ratio of sin Q:
[tex]\sf \implies \sin Q=\dfrac{q}{H}=\dfrac{2}{5}[/tex]
Substitute the given value of q = 6 and solve for H:
[tex]\sf \implies \dfrac{6}{H}=\dfrac{2}{5}[/tex]
[tex]\sf \implies H=6 \cdot\dfrac{5}{2}[/tex]
[tex]\sf \implies H=15[/tex]
Using the given ratio of sin R:
[tex]\implies \sf \sin R=\dfrac{r}{H}=\dfrac{1}{3}[/tex]
Substitute the found value of H and solve for r:
[tex]\implies \sf \dfrac{r}{15}=\dfrac{1}{3}[/tex]
[tex]\implies \sf r=15 \cdot\dfrac{1}{3}[/tex]
[tex]\implies \sf r=5[/tex]
Learn more about trigonometric ratios here:
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10 pounds of egg whites. You have 6 ounces to make one serving. How many servings can you make?
Taylor and Anya live 36 miles apart.On Some Saturdays.They ride theirs Bikes toward each other's houses and meet somewhere in between. Taylor is very Consistent rider she finds that her speed is always close to 12.5 miles per hour.Anya rides more slowly than Taylor, but she is working out and is becoming a faster rider as the weeks go by.On a Saturday in July, the two friends set out on their bikes at 8 a.m.Taylor rides at 12.5 per hour and Anya rides at 5.5 miles per hour.After one hour, how far apart are they? Show your work and Explain your Answer.
At What Time will the two friends meet?How do you know? Show your Work and Explain your Answer.
Answer:
Taylor and Anya will meet at 10:00 a.m.
Step-by-step explanation:
If Taylor rides at 12.5 mph (miles per hour), and Anya rides at 5.5 mph (miles per hour), then we need to combine these ratios to see how far apart they will be in one hour.
12.5 mph + 5.5 mph = 18 miles
Therefore, after an hour, Anya and Taylor are 18 miles apart.
Since there houses are 36 miles apart, and 18 x 2 = 36, then we can infer that it will take two hours, two times the time it took for them to finish halfway of their journey, for them to meet.
8:00 a.m. + 2 hours = 10:00 a.m.
Therefore, Taylor and Anya will meet at 10:00 a.m.
Find the midpoint of the segment with the given endpoints.
(-7, -9) and (-2,7)
Answer:
(-9/2,-1)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
I need help on this problem expand 2-x(x+6)
(This is distributive property)
Answer:
2-x^2-6x
Step-by-step explanation:
2-x(x+6)
2-x^2-6c
PLEASE HELP
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:66.5 degrees
Step-by-step explanation:
Miguel made 6 1/2 gallons of chill for a party. His guest ate 4 3/16 gallons. How many gallons of chill were left?
Answer:
2 5/16
Step-by-step explanation:
step by step instructions are in pic below
Name the red line. Select ALL that apply.
1. PN
2. PW
3. WN
4. line d
5. NW
6. line P
Answer:
1. PN
Step-by-step explanation:
3. The cost(P) in Ghana Ghana Cedis, of producing n items is given by the formula, P=3/4n + 1800. a. Find the cost of producing 2000 items il formulas.
Answer:
3300
Step-by-step explanation:
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
cost of producing 2000 items =3300
Solution:-
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
Learn more about problems with cost here https://brainly.com/question/25109150
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This is the answer but can someone do the work plss??
find the value of 3²×2³
Answer : 72
Step-by-step explanation:
It's above in the pic .
A certain product is marked down to $64.75 after a 12.5% decrease. Determine the original price. (4 points)
$72.85
$74.00
$76.6
ANSWER QUICK PLS!
if the actual distance from San Antonio to Houston is approximately 188 miles use the length of the line segments indicated in the figure along with the similar triangles to approximate.
a: The actual distance from Dallas to Houston = _ miles
b: The actual distance from Dallas to San Antonio = _ miles
9514 1404 393
Answer:
a) 235 mi
b) 259 mi
Step-by-step explanation:
The scale factor from the map to the real world is apparently ...
(SA-H actual)/(SA-H map) = (188 mi)/(3 in) = 62 2/3 mi/in
Then the actual distance from Dallas to Houston is ...
(3.75 in)(62 2/3 mi/in) = 235 mi
And from Dallas to San Antonio, the distance is ...
(4.125 in)(62 2/3 mi/in) = 258.5 mi ≈ 259 mi
One year, an athlete won a gold medal with a long jump of some
meters. Several years later, another athlete won a gold medal with a
long jump of 7.12 meters. The second jump was 0.13 meters longer
than the first. How long was the first jump? Write an equation
and solve.
Answer:
6.99 meters
Step-by-step explanation:
For this we have to use subtraction:
So if the second jump was .13 meters longer then the first and we know the second jump was 7.12 meters, we have to subtract 7.12 by .13 to get the length of his/her's first long jump. So our equation is 7.12-.13=length of first jump. So we end up getting 6.99=length of first jump.
Hope this helps! :D
The point that is 7 units to the left of the y-axis and 5 units above the x-axis
Answer:
(-7, 5)
Step-by-step explanation:
Answer:
(-7,5)
Step-by-step explanation:
have a nice day
Three years back, afather was 24 years older than his son at present the father is 5 times as old as the son how old will the son be three years from now?
Answer:
Let current age of father be x and current age of his son be y.
So 3 years ago, difference between their age was 24.
Therefore equation becomes
(x-3)-(y-3) = 24.
x - y = 24.
At present father is 5 times as old as son.
x = 5y.
Therefore 5y - y = 24.
y = 6.
Current age of son is 6 years. So after three years he will be 9 years old.
Step-by-step explanation:
what is the answer for this
Answer: The highlighted digit 8 is in the tens place. The value of the 8 is 80
Step-by-step explanation:
The value of the 8 is 80 becuse it is in the tens place.
Complete the equations.
28{,}770\div 10^2 =28,770÷10
2
=28, comma, 770, divided by, 10, squared, equals
28{,}770\div 10^3 =28,770÷10
3
=28, comma, 770, divided by, 10, cubed, equals
28{,}770\div 10^4 =28,770÷10
4
=28, comma, 770, divided by, 10, start superscript, 4, end superscript, equals
Answer:
a) 28,770 ÷ 10 ^ 2 = 287.7
b) 28,770 ÷ 10 ^ 3 = 28.77
c) 28,770 ÷ 10 ^ 4 = 2.877
What is the measurement??
Answer:
83°
.......................
Answer:
83
Step-by-step explanation:
Given that (7x-8)/(2x-1)(x-2)
Use Partial Fraction Decomposition to Find A and B.
We look for constants a and b such that
[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac a{2x-1} + \frac b{x-2}[/tex]
Rewrite all terms with a common denominator and set the numerators equal:
[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)}{(2x-1)(x-2)} + \frac{b(2x-1)}{(x-2)(2x-1)} \\\\ \frac{7x-8}{(2x-1)(x-2)} = \frac{a(x-2)+b(2x-1)}{(2x-1)(x-2)} \\\\ \implies 7x-8 = a(x-2) + b(2x-1) = (a+2b)x - 2a - b[/tex]
Then
a + 2b = 7
-2a - b = -8
Solve for a and b. Using elimination: multiply the first equation by 2 and add it to the second equation:
2 (a + 2b) + (-2a - b) = 2(7) + (-8)
2a + 4b - 2a - b = 14 - 8
3b = 6
b = 2
Then
a + 2(2) = 7 ==> a = 3
and so
[tex]\displaystyle \frac{7x-8}{(2x-1)(x-2)} = \frac 3{2x-1} + \frac 2{x-2}[/tex]
Answer:
a=3
b=2
Do whatever you want with that information^^
Pls help A card is drawn from a standard deck of 52 cards. What is the probability of drawing a face card (jack, king, or queen) or a black card?
Answer:
probability is 32/52 or about 0.615
Step-by-step explanation:
There are 12 face cards
of the remaining 52 - 12 = 40 cards, half of them are black
so 12 + 40/2 = 32 cards would be considered successful
–
5z2–7z2
Simplified
Answer:
-12z^2
Brainliest, please!
Step-by-step explanation:
-5z^2 - 7z^2 = -12z^2
Simplify. 3√-28
A 2i√7
B 12i√7
C 61√7
D -6i√7
Answer:
C
Step-by-step explanation:
We want to simplify the expression:
[tex]\displaystyle 3 \sqrt{-28}[/tex]
Rewrite:
[tex]\displaystyle = 3 \sqrt{ 4\cdot 7 \cdot -1}[/tex]
Rewrite:
[tex]\displaystyle = 3 \cdot \sqrt{4} \cdot \sqrt{7} \cdot \sqrt{-1}[/tex]
Simplify. Let i = √(-1). Hence:
[tex]\displaystyle = 3 \cdot \left(2\right) \cdot \left(i\right) \cdot \sqrt{7}[/tex]
Multiply:
[tex]\displaystyle = 6i\sqrt{7}[/tex]
In conclusion, our answer is C.
S
Tami put 14 chocolate chips in a batch
of 10 cookies. How many chocolate
chips will be used with 40 cookies?
Chocolate
Chips
14 28 42 [?]
Cookies 10 20 30 40
Answer:
56 chocolate chips will be used with 40 cookies.
Step-by-step explanation:
14 chocolate chips = 10 cookies
? chocolate chips = 40 cookies
Variable x = number of chocolate chips for 40 cookies
14/10 = x/40
Cross multiply:
14 × 40 = 10 × x
560 = 10x
56 = x
Write an
equation in slope intercept form y = mx +b.
6) slope = 4, y-intercept = -3
Answer:
y = 4x - 3
Step-by-step explanation:
Slope intercept form is made up of these components:
y = outputm = slopex = inputb = y-interceptThe question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.