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aliya0001 [1]
3 years ago
6

Melissa, Juan, and Rafael served a total of 74 orders Monday at the school cafeteria. Rafael served 2 times as many orders as Ju

an. Melissa served 6 more orders than Juan. How many orders did they each serve?
Mathematics
1 answer:
Sidana [21]3 years ago
7 0
Let's named variables as M,J and R

The equation is M+J+R=74

We will represent M with J => M=J+6 and R=2J

when we replace in the equation we get

J+6+J+2J=74 => 4J=74-6 => 4J=68 => J=68/4 = 17

J=17  => M=6+17 => M=23  and R=2* 17 => R=34

Final answer is 
Juan served 17 orders
Melissa served 23 orders and 
Rafael served 34 orders

Good luck!!!!


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A person standing 154 feet from the base of a church observed the angle of elevation to the church's steeple to be 25∘. How tall
Nookie1986 [14]

Answer:

71.764  feet

Step-by-step explanation:

See attached the rough sketch for your reference

Step one;

Given data

The angle of elevation= 25°

From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent

Step two:

Applying SOH CAH TOA

tan∅= opp/adj

tan 25= opp/154

0.466= opp/154

cross multiply

0.466*154= opp

opp= height of church = 71.764  feet

4 0
3 years ago
There are 9 students in a class: 7 boys and 2 girls.
Crank

Answer: 9/7

Step-by-step explanation:

6 0
3 years ago
The product of 2 √3 and 3 √12 simplified form is...
Serjik [45]
<h2>Greetings!</h2><h3>When multiplying two roots together, you can rearrange the equation so that the roots are next to each other and so are the whole numbers:</h3>

2 x 3 x \sqrt{3} x \sqrt{12}

<h3>This means that 2 x 3 is simple, = 6,</h3><h3>But when multiplying \sqrt{3} x \sqrt{12} you simply multply the two numbers and put them in a square root:</h3>

\sqrt{3} x \sqrt{12} = \sqrt{36}

<h3>But this can be square rooted to 6, which then means that the equation is now:</h3>

2 x 3 x 6 = 36

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3 0
3 years ago
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te
Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

\frac{dT}{dt}=-k(T-T_{s})

T is temperature of a cup of coffee at any time t T_{s}, is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

T(0)=190\\T(1)=170\\T_{s}=66

\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C

To find constant knowing the time and the temperature the first step of the change of energy in cup of coffee

T=T_{s} +e^{-k*t}*C\\ C=190-66=124\\170=66+124*e^{-k*2}\\ 170-66=124*e^{-k*2}\\ln(\frac{104}{124})=ln*e^{-k*2}\\-0.175=-k*2\\k=0.08794

Now using the constant of decreasing can find the time to be a 145 temperature the cup of coffee

145=66+124*e^{-k*t} \\145-66=124*^{-0.087*t}

ln(0.637)=ln*e(-0.087*t)\\-0.45=-0.087*t\\t=5.18minutes

4 0
3 years ago
Find the value of x (URGENT/GIVING BRAINLIEST)
natta225 [31]

Answer:

B)10

Step-by-step explanation:

Because this is a right angle(indicated by the red box) the total measure should be 90°.

And based on that we say 5X +40=90

Subtract 40 from both sides to get 5x=50

And then divide both sides by 5 to get x=10

7 0
2 years ago
Read 2 more answers
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