Answer:
x = 9
Step-by-step explanation:
3x - 7 = 20
3x = 20 + 7
3x = 27
x = 9
It is mentioned that the rate is constant at $85 per hour. Since, on Wednesday, Nita worked for 8 hours, she would earn 85*8 = $680. In addition to this, she also received a tip of $12. Thus, she earned a total of $680 + $12 = $692.
The two rational numbers between
and
is
,![- \frac{36}{48}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B36%7D%7B48%7D%20)
<h3>How to find the rational numbers between -3/4 and -2/3?</h3>
In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).
given that -3/4 and -2/3
now take L.C.M between these two rational numbers is 12.
now multiply -3/4 with 3 both numerator and denominator
![- \frac{3}{4} \times \frac{3}{3} = - \frac{ 9}{12}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B3%7D%20%20%3D%20%20%20-%20%5Cfrac%7B%209%7D%7B12%7D%20)
again multiply -9/12 with 4 both numerator and denominator
![- \frac{9}{12} \times \frac{4}{4} = - \frac{36}{48}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B9%7D%7B12%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B36%7D%7B48%7D%20)
now multiply -2/3 with 4 both numerator and denominator
![- \frac{2}{3} \times \frac{4}{4} = - \frac{8}{12}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B8%7D%7B12%7D%20)
again multiply -8/12 with 4 both numerator and denominator
![- \frac{8}{12} \times \frac{4}{4} = - \frac{32}{48}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B8%7D%7B12%7D%20%20%5Ctimes%20%20%5Cfrac%7B4%7D%7B4%7D%20%20%3D%20%20-%20%20%5Cfrac%7B32%7D%7B48%7D%20)
Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3
Learn more about rational numbers, refer:
brainly.com/question/12088221
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Answer:
B
Step-by-step explanation:
I checked it and it is right hope this helps!
The answer is x = 30 mm.
Similar shapes have proportional measurements. Hence:
side AB/side BC = side DE/side EF
1.) Substitute with given:
<span> AB/BC = DE/EF
10/4 = DE/12
2.) Cross multiply </span>10/4 = DE/12<span>
4DE = 120
3.) Divide both sides of the equation by 4 </span>to solve for DE:<span>
4DE/4 = 120/4
DE = 30 mm.
4.) Substitute and cross multiply to check if the values are equal:
</span> AB/BC = DE/EF
10/4 = 30/12
4(30) =10(12)
120 = 120