Answer:
y=27
Step-by-step explanation:
Answer:
x = -2y + 12
Step-by-step explanation:
Let's solve for x.
x + 2y = 12
Step 1: Add -2y to both sides.
x + 2y + −2y = 12 + −2y
x = −2y + 12
Let's check. 6 one-dollars = $6 15 five-dollars = $75 9 ten-dollars = $90 Add them all up to get $171, so that is correct. Add the number of one-dollar bills and the number of ten-dollar bills together. 6 + 9 = 15, which is the number of five-dollar bills, so that is correct as well. Add all the numbers of bills together, 6 + 9 + 15 = 15 + 15 = 30, so that is correct
Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
<h2>
Answer:</h2>
Option: D is the correct answer.
The probability is: 0.50
<h2>
Step-by-step explanation:</h2>
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
We are asked to find the probability that a person consumes 1500-2000 calories in a day.
Total number of people who were surveyed=500
Total number of people who consume 1500-2000 calories in a day are:250
Hence, Probability is:
250/500=1/2=0.50
