Answer:
The <u>inverse </u>statement is given as follows;
If you do not live in Dallas, then you do not live in Texas
False
The <u>converse </u>statement is given as follows;
If you live in Texas then you live in Dallas
False
The <u>contrapositive</u> statement is given as follows;
If you do not live in Texas, then you do not live in Dallas
True
The <u>biconditional </u>statement is given as follows;
You live in Dallas, if and only if, you live in Texas
True
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
The divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
there are four cards and three of them are divsors of 24--- 3,4,6,
so thats 3/4
Answer:
5 1/4
Step-by-step explanation:
To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.
76 sodas and 34 hot dogs were sold by the vendor.
Step-by-step explanation:
Given,
Total sodas and hot dogs sold = 110
Let,
x be the number of sodas sold
y be the number of hot dogs sold
According to given statement;
x+y=110 Eqn 1
y = x-42 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
![x+(x-42)=110\\x+x-42=110\\2x=110+42\\2x=152](https://tex.z-dn.net/?f=x%2B%28x-42%29%3D110%5C%5Cx%2Bx-42%3D110%5C%5C2x%3D110%2B42%5C%5C2x%3D152)
Dividing both sides by 2
![\frac{2x}{2}=\frac{152}{2}\\x=76](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%3D%5Cfrac%7B152%7D%7B2%7D%5C%5Cx%3D76)
Putting x=76 in Eqn 1
![y=76-42\\y=34](https://tex.z-dn.net/?f=y%3D76-42%5C%5Cy%3D34)
76 sodas and 34 hot dogs were sold by the vendor.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly