Jacob'decides to volunteer to collect money for a charity called Medical Research International. He stands outside a store with a collecting container.
The charity cover his expenses for the day, which include his bus fare to town and his lunch. His expenses
are 7.50 EUR
He collects about 35 EUR per hour while standing outside the store.
Let E be the number of euros he collects in one day and h be the number of hours he works in one day.
Which one of the following is the correct model for how much income Medical Research International will make in
one of Jacob's working days?
O E(h)=35h-7.5
O E(h)-35-7.5h
E(h)-(35+7.5)h
Eſh) = 35h+7.5

the answer is 28

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation: