Answer:
95 city and 175 highway miles.
Step-by-step explanation:
The driver gets 20 mpg in city, and 28 mpg on the highway.
An equation that could be written is
20x+28y=270
This equation accounts for the distance traveled.
x+y=11
This equotion accounts for how many gallons were driven.
Multiply the bottom equation by 20, so you can solve the set of equations.
20x+28y=270
20x+20y=220
subtract them
8y=50
y=6.25
now plug this back into x+y=11
x+6.25=11
x=4.75
Now 4.75×20=95 city miles and 6.25×28=175 highway miles.
Answer:
a. m DCB =<DAB=120 opposite angle of the parallelogram are equal
again
BP=PD diagonal bisect it
3x+7=-x+17
3x+x=17-7
4x=10
x=10/4=5/2
b. BD =3x+7-x+17=3×5/2+7-5/2+17=2×5/2+24=5+24=29
Answer:
hope it helps
area of parallelogram: base × height = 17.6 cm sq
⇒ 4 × h = 17.6
⇒ h = 17.6/4
⇒ h = 4.4 cm
Step-by-step explanation:
Answer:
True statements:
1. Fractions and ratios cannot have zero in the denominator.
3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way.
Step-by-step explanation:
1. Fractions and ratios cannot have zero in the denominator: <u>True. </u>
<u>Reason- </u>If the denominator in any fraction /ratio is zero, then it means the whole fraction will be equal to infinity (not-defined value)
2. Fractions and ratios are different names for the same thing. <u>False</u>
<u>Reason- </u>A fraction represents a number from the whole of something, in which the denominator represents the total number of equal parts of the whole. But, a ratio represents a comparison between two quantities.
3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way. <u>True</u>
<u>Reason-</u>The simplification method can be same but these two are not same quantities.
We would plug in x to all of those equations. So, 3(4+4)(4+1)/(4+2)(4-2). This would be 3(8)(5)/(6)(2). Then multiply them. 3(8)(5) would be 120. (6)(2) would be 12. Then divide 120 and 12 to get 10.
