Answer:
There are 120 1st graders at Sierra Elementary School this year
Step-by-step explanation:
Let n represent the total number of 1st graders at Sierra Elementary School
Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54
→ n(
) = 54
→ 45n = 5400
→ n = 120
Y = 3x + 3
y = x - 1
As you can see, both equations are set to equal y. This means the right sides of each equation are equal, since y is isolated in both equations. So to solve this particular system of equations for x, set the right sides of both equations equal to each other. After you've done that, you can proceed to solve the equation algebraically for the variable, x.
3x + 3 = x - 1
2x + 3 = -1
2x = -4
x = -2
Negative two is the x-value. To find the y-value, substitute -2 for x into either equation and solve algebraically for y.
y = x - 1
y = -2 - 1
y = -3
The final step is to check all work by plugging both x- and y-values back into both equations.
y = 3x + 3
-3 = 3(-2) + 3
-3 = -6 + 3
-3 = -3 -- This is true
y = x - 1
-3 = -2 - 1
-3 = -3 -- This is true.
Answer:
(-2, -3)
Answer:
B. proportion
Step-by-step explanation:
A proportion is a pair of equal ratios.
Answer:
6a) x = -6
Let's solve your equation step-by-step.
14= 2x + 26
Step 1: Flip the equation.
2x + 26 = 14
Step 2: Subtract 26 from both sides.
2x + 26 − 26 = 14 − 26
2x = −12
Step 3: Divide both sides by 2.
2x/2 = −12/2
x=−6
--------------------
7a) x = 4.25
Let's solve your equation step-by-step.
−30 =4 − 8x
Step 1: Simplify both sides of the equation.
−30 = 4 − 8x
−30 = 4 + −8x
−30 = −8x + 4
Step 2: Flip the equation.
−8x + 4 = −30
Step 3: Subtract 4 from both sides.
−8x + 4 − 4 = −30 − 4
−8x = −34
x=17/4 (Decimal: 4.25)
---------------------------------
8a) x = 8
Let's solve your equation step-by-step.
3(x − 4) = 12
Step 1: Simplify both sides of the equation.
3(x − 4) = 12
(3)(x) + (3)(−4)= 12(Distribute)
3x + −12 = 12
3x − 12= 12
Step 2: Add 12 to both sides.
3x − 12 +1 2 = 12 + 12
3x = 24
Step 3: Divide both sides by 3.
3x/3=24/3
x=8
Answer:
radius = 6.15
Step-by-step explanation:
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