8. a road side vegetable stand seils pumpkins for ss each and tomatoes for $3 each. the total sales on
a certain day was $98. i they sold 10 pumpkins write and solve a linear equation to find the nume
of tomatoes soid.

a). The linear equation is: 3 t+50=98, where t=number of tomatoes sold

b). The total number of tomatoes sold=16

Step-by-step explanation:

a).

Step 1

Derive the expression for the total sales as shown;

S=(T×t)+(P×p)

where;

S=total sales

T=price per tomatoes

t=number of tomatoes sold

P=price per pumpkin

p=number of pumpkins sold

In our case;

S=$98

T=$3

t=t

P=$5

p=10

replacing;

98=(3×t)+(5×10)

3 t+50=98...equation

The linear equation is: 3 t+50=98

b). solve for t;

3 t+50=98

3 t=98-50

3 t=48

t=48/3=16

t=16

The total number of tomatoes sold=t=16

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.