Answer:
Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges
Step-by-step explanation:
Cost of one pound of Apple = $2x
Cost of one pound of Grapes = $(6x-5)
Cost of one pound of Oranges = $(x+2)
A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.
It can be written as:
We need to find how much the shopper spend on each fruit.
First we need to find value of x by solving equation
Solving:
The value of x is: x=1.5
Now finding cost of one pound each fruit by putting x=1.5
Cost of one pound of Apple = $2x = 2(1.5) = $3
Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4
Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5
So,
Cost of one pound of Apple = $3
Cost of one pound of Grapes = $4
Cost of one pound of Oranges = $3.5
So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges
Answer:
Volume of the figure = 2413.71 cubic inches.
Step-by-step explanation:
Volume of the figure = Volume of the hemisphere + Volume of the cone
=
= 2413.71 cubic inches.
Answer:
Step-by-step explanation:
a) She has left 25% of her work. 1/4 is 25%.
b) In the model you can see that the total work is divided in 4 equal portions. Each portion represents 1/4 of the workday.
In the second figure you can see in green marked the portions of workday worked, as it is 3/4 it means 3 portions of a total of 4. So, one portion is left, that is marked in yellow color. One portion of a total of 4 portions, it means 1/4.
To express 1/4 in percentage, you need to divide 1 by 4 and the multiply by 100.
The percent of workday left is 25%
The one line of symmetry is vertical, so we could fold the hexagon in half in such a way that the vertices A and B would meet at the same point, and the same goes for the pairs C,F and D,E. Because of this symmetry, we know angle AFE is congruent to BCD, and angle FED is congruent ot CDE.
Let <em>x</em> be the measure of angle CDE.
In any convex polygon with <em>n</em> sides, the interior angles sum to (<em>n</em> - 2)*180º in measure. ABCDEF is a hexagon, so <em>n</em> = 6.
We have 2 angles of measure 123º, 2 of measure <em>x</em>, and 2 of measure 2<em>x</em>. So
2(123º + <em>x</em> + 2<em>x</em> ) = (6 - 2)*180º
246º + 2<em>x</em> + 4<em>x</em> = 720º
6<em>x</em> = 474º
<em>x</em> = 79º
Angle AFE is congruent to angle BCD, which is twice the measure of CDE, so angle AFE has measure 2*79º = 158º.
Answer:
he needs to catch up by 5 pages
Step-by-step explanation: