You can use systems of equations for this one.
We are going to use 'q' as the number of quarters Rafael had,
and 'n' as the number of nickels Rafael had.
You can write the first equation like this:
3.50=0.05n+0.25q
This says that however many 5 cent nickels he had, and however many
25 cent quarters he had, all added up to value $3.50.
Our second equation is this:
q=n+8
This says that Rafael had 8 more nickels that he had quarters.
We can now use substitution to solve our system.
We can rewrite our first equation from:
3.50=0.05n+0.25q
to:
3.50=0.05n+0.25(n+8)
From here, simply solve using PEMDAS.
3.50=0.05n+0.25(n+8) --Distribute 0.25 to the n and the 8
3.50=0.05n+0.25n+2 --Subtract 2 from both sides
1.50=0.05n+0.25n --Combine like terms
1.50=0.30n --Divide both sides by 0.30
5=n --This is how many NICKELS Rafael has.
We now know how many nickels he has, but the question is asking us
how many quarters he has.
Simply substitute our now-known value of n into either of our previous
equations (3.50=0.05n+0.25q or q=n+8) and solve.
We now know that Rafael had 13 quarters.
To check, just substitute our known values for our variables and solve.
If both sides of our equations are equal, then you know that you have
yourself a correct answer.
Happy math-ing :)
Step-by-step explanation:
पति ऑफिस से घर आया... और खाना खाने बैठा
खाते-खाते उसने अपनी पत्नी से कहा कि
"खाना ठीक नहीं है, कोई टेस्ट नहीं आ रहा है।"
पत्नी चुपचाप उठी, और उसने कॉरपोरेशन मेंं कॉल किया और एम्बुलेंस को बुला ली
और कहा..
"इन्हे टेस्ट नहीं आ रहा है.."
एम्बुलेंस पति को ले गयी और उसे क्वॉरंटाइन कर दिया
अस्पताल में पत्नी ने पति को फोन किया और पूछा: अब आया स्वाद??
यहाँ तक की कहानी सबने सुनी होगी। अब देखिये कहानी में नया मोड़:
⬇️
.
.
.
.
.
.
.
.
उधर पति को पूछा गया कि
"आपके संपर्क में कौन-कौन आया था ?"
पति ने बड़ी ही शांति से कहा..
- मेरी पत्नी
- मेरा ससुर
- मेरी सास
- मेरा साला
- मेरी साली
बस अब ये सब भी अस्पताल के बिस्तर पर बैठे-बैठे पति को घूर रहे हैं!
Moral of the story is
बेजुबान को ज्यादा सताना भी ठीक
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
50 and 60 mph respectively
Step-by-step explanation:
Step one:
given data
total distance= 450 miles
time take= 9 hours
Required
Tom and Tammy's average speed
Step two:
Tom's average speed= 450/9
= 50 miles per hours
Tammy's average speed= 450/7.5
= 60 miles per hours
I think it’s 20 but I may be wrong
