Jamal bought donuts and cupcakes. He bought three times as many donuts as cupcakes. Donuts cost $0.50 each. Cupcakes cost $1.00 each. Jamal spent $10.00 total. How many donuts did Jamal buy? How many cupcakes did Jamal buy?

Step-by-step explanation:

Let

x= Quantity of donuts

y= Quantity of cupcakes

He bought 3 times as many donuts as cupcakes

Donuts=y= 3x

Donuts=0.50 each

Cupcakes=1.00 each

PxQx + PyQy = 10.00

0.50(x) + 1.00(y) = 10.00

0.50x + 1.00(3x)=10.00

0.50x+3.00x=10.00

3.50x=10.00

Divide both sides by 3.50

x=10.00/3.50

=2.86

y=3x

y=3(2.86)

=8.58

Jamal bought 2.86 donuts and 8.58 cupcakes

Check:

PxQx + PyQy = 10.00

0.50(2.86) + 1.00(8.58) = 10.00

1.43 + 8.58=10.00

10.01=10.00

10.01 approximately 10.00

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

i dont know if you cant find a way its best to actually add all of them start from 105 tho

step-by-step explanation: