Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
Answer:
The height of rectangle is 5 inches
Step-by-step explanation:
<u><em>The correct question is</em></u>
A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height
Let
x -----> the width of the rectangle in inches
y ----> the height of the rectangle in inches
d ---> diagonal measurement of the rectangle in inches
we know that
Applying the Pythagorean Theorem

we have

so

----> equation A
---> equation B
substitute equation B in equation A

solve for y



solve the quadratic equation by graphing
using a graphing tool
The solution is y=5
see the attached figure
therefore
The height of rectangle is 5 inches
Answer
Find out the how much does one apple cost .
To prove
Let us assume that the number of bananas be x .
Let us assume that the number of apples be y .
As given
At a greengrocer, two bananas and one apple cost $1.16 .
Than the equation becomes
2x + y = 1.16
one banana and one apple cost $0.71.
Than the equation becomes
x + y = 0.71
Subtracting x + y = 0.71 from 2x + y = 1.16
2x - x + y - y = 1.16 - 0.71
x = 0.45
Put in the equation x + y = 0.71
0.45 + y = 0.71
y = 0.71 - 0.45
y = $0.26
Therefore the cost of the one apple is $0.26 .
Answer:
23°
Step-by-step explanation:
Step 1:
< GEC + < ECG + < CGE = Δ ECG Sum of a Δ
Step 2:
< IGF = < GCE Corresponding ∠ 's
Step 3:
14° + 180° - 4x + 78° = 180° Substitution
Step 4:
272° - 4x = 180° Add / Algebra
Step 5:
- 4x = - 92 Subtract 272° on both sides
Step 6:
- 92 ÷ - 4 Divide
Answer:
x = 23°
Hope This Helps :)
Let red marbles = X.
The probability is 1 out of 5, written as 1/5
1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.
1/5 = x/5x
Now you have 5x total marbles, x red and 4x blue.
Add 5 more red and the new probability is:
(x+5)/(5x+5) = 1/3
Simplify:
3x+15 = 5x+5
Now solve for x:
Subtract 3x from both sides:
15 = 2x +5
Subtract 5 from each side:
2x = 10
Divide both sides by 2:
x = 10/2
X = 5
There were originally 5 red marbles.