Answer:
The number of cats at the shelter on Friday was 20.
Step-by-step explanation:
Hi there!
Let "x" be the number of cats and "y" the number of dogs.
The shelter spends $2 per cat and $7 per dog. If the total expenses on Friday was $82, then, two times the number of cats plus seven times the number of dogs is equal to 82:
2x + 7y = 82
We also know that the total number of cats and dogs was 26. Then, the number of cats plus the number of dogs is equal to 26:
x + y = 26
Let´s solve this equation for y and replace it in the first equation
y = 26 - x
Then:
2x + 7(26 - x) = 82
Apply distributive property:
2x + 182 - 7x = 82
Subtract 182 to both sides of the equation:
-5x = -100
divide both sides of the equation by -5
x = 20
The number of cats at the shelter on Friday was 20.
Have a nice day!
Answer:
1. F
2. T
3. T
4. T
Step-by-step explanation:
Let's break down the definitions.
Quadrilateral - A polygon with 4 sides
Square - A quadrilateral with 4 equal sides and 90 degree angles
Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles
Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles
Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles
Now let's look at the questions.
Does every 4 sided figure have equal sides? - No
Is a rectangle with 4 equal sides a square? - Yes
Is every parallelogram with 4 equal sides a parallelogram? - Yes
Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes
Product property is the answer
Answer:
f=C/4-3h/4-3p/4
Step-by-step explanation:
Performing the indicated multiplication on the left side gives you:
8x-24=8x-24,
8x=8x
1=1
These expressions are true for any real value of x and thus has infinitely many solutions...
