Answer:
7Y - 9= 6
Step-by-step explanation:
nine less must be subtracted after the product of 7 and a number Y , then substitute is by the equal sign =
The linear equation for the variation of population is p = 200t + 1800.
<h3>What is an equation?</h3>
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The formula for an equation in intercept form will be given as below:-
y = mx + c.
It is given that In 1995, the moose population in a park was measured to be 1800. By 1998, the population was measured again to be 2400.
Write the linear equation for population variation.
p = mt + c
m = Rate of change = ( 2400 - 1800 ) / 3 = 200, put the value in the equation.
p = 200t + c
Put the values in the equation to get the value of the constant.
2400 = 200 x 3 + c
c = 2400 - 600
c =1800
The equation for the linear variation of the population is,
p = 200t + 1800
Therefore, the linear equation for the variation of the population is p = 200t + 1800.
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Answer:
C. 6 ft
Step-by-step explanation:
If Marvin's son is 3 feet tall with a 1 foot shadow, Marvin would be 6 feet tall with a 2 foot shadow.
Answer:
x° = 149°
Step-by-step explanation:
According to the <u>Triangle Sum Theorem</u>, the sum of the measures of the angles in every triangle is 180°. Since we are given two angles with measures of m < 86° and m < 63°, then the third angle must be:
m < 86° + m < 63° + m < (angle 3) = 180°
149° + m < ? = 180°
Subtract 149° from both sides to solve for m < (angle 3)
149° - 149° + m < (angle 3) = 180° - 149°
m < ? = 31°
Therefore, the measure of the third angle is 31°.
To find x°, we can reference the <u>Triangle Exterior Angle Postulate</u>, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
In other words, the measure of x° = m < 86° + m < 63°
x° = 149°
By the way, m< (angle 3) and x° are also supplementary angles whose sum equal 180°:
x° + m < (angle 3) = 180°
149° + 31° = 180°
Answer:
25
Step-by-step explanation:
If Olivia had 10 more p than Sophia, then Olivia has 35, and Sophia has 25.
35 + 25 = 60!
