Answer:
Step-by-step explanation:
x = cost of drink
y = total cost
First information: "one large pizza and 3 medium drinks cost $21.96":
3a + b = 21.96
Second information: "one large pizza and 6 medium drinks cost $30.93":
6a + b = 30.93
{3a + b = 21.96
{6a + b = 30.93
{- 3a - b = - 21.96
{6a + b = 30.93
3a = 8.97
a = 2.99
3a + b = 21.96
3•2.99 + b = 21.96
8.97 + b = 21.96
b = 21.96 - 8.97
b = 12.99
Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:
y = 2.99x + 12.99
I hope I've helped you.
Answer:
b
Step-by-step explanation:
90×(2)
= 180
each mile is equal to 90 calories
therefore 2 miles is equal to 180
Answer:
3 cm
Step-by-step explanation:
When we enlarge or shrink an object, we perform a dilation. A dilation preserves the relationship between sides and the exact angle measure. This means the original and the enlargement are proportional and any missing lengths can be found through a proportion.
A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare height over length of the original rectangle to an equal ratio of height to length of the enlargement. Since we do not know height of the enlargement, we will use a variable to write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for h by dividing by 9.
The new height is 3 cm.
Answer:
5 terms: m, 4, 2, -7m, 6 are the terms in question.
Step-by-step explanation:
Note that terms here are separated from one another by either + or - signs.
m + 4 consists of two terms, since m and 4 are separated by the + operator.
2 - 7m are separated by the - operator, and so there are two terms here.
Completing the counting procedure, we get:
m (first term) + 4 (second term) + 2 (third term -7m (fourth term) + 6 (fifth term).
So, if we do NOT combine like terms, we have five (5) terms altogether.
If we DO combine like terms, we end up with two (2) terms:
m -7m + 4 + 2 + 6, or -6m + 12, or two (2) terms.
