Answer: 1,045 passengers
Step-by-step explanation:
This question involves multiple steps. Let's first try to figure the number of children on the cruise.
The ratio of girls to the total number of children was 2:5. There are 198 boys.
This information tells me that for every 5 children, there's 2 girls and 3 boys.
Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.
198÷3=66
Let's multiply 66 by 5 since that's the number of groupings based off the ratio.
66×5=330
Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.
There are 330 children on the cruise.
The ratio of the number of adults to the number of children was 13:6.
For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.
330÷6=55
Let's now multiply the groupings by 13 to find the number of adults.
55×13=715
So there should be 715 adults and 330 children on the cruise.
715+330=1,045
Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
<h3>
<u>FOR</u><u> </u><u>VERIFICATION ONLY</u><u>:</u></h3>
(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
<u>-TheUnknown</u><u>S</u><u>cientist</u>
Write the Inequality
A number b times -16 is greater than 5.
A number b is a variable... b.
Times means multiply.
-16 is what you are multiplying b by.
Is greater than means the greater than symbol.
5 is what the past statements are greater than.
So this is the inequality.
-16b > 5
Solve the Inequality
You need to isolate b.
To do this, divide each side by -16. You do this because b is being multiplied by -16. You know that any number divided by that number equals 1, canceling the number.
-16b ÷ -16 = b
5 ÷ -16 = -5/16
So you get b > -5/16
So to make the inequality true, b must be more than -5/16.
Or as an inequality...
b > -5/16
Answer:
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Step-by-step explanation:
Answer:
y = -5x Y8
Step-by-step explanation:
Parallel lines have the same slope.
Your function is
y = 9 − 5x = -5x+ 9
slope = -5
The parallel line
The line must have slope = -5 and include (0, 8), so
8 = -5×(0) + b
8 = 0 + b
b = 8
The equation for the parallel line is
y = -5x + 8
In the diagram below, the red line is the graph of y = 9 -5x.
The parallel blue line is the graph of y = -5x + 8.
