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iren [92.7K]
3 years ago
6

Two lines, C and D, are represented by the following equations:

Mathematics
2 answers:
guapka [62]3 years ago
8 0

Answer:

(−2, 3), because both lines pass through this point

Step-by-step explanation:

The meaning of "solution to the system of equations" is that both lines intersect at the solution point. That is, they both pass through that point.

Natasha2012 [34]3 years ago
3 0

Answer:

(−2, 3), because both lines pass through this point

Step-by-step explanation:

Line C: y = x + 5  

Line D: y = −2x − 1

Substitute x+5 for y in second equation

x + 5 = -2x -1

add 2x on both sides

3x + 5= -1

subtract 5 from both sides'

3x = -6

divide both sides by 3

x= -2

Now plug in -2 for x in y=x+5

y=-2+5= 3

so x= -2, y= 3

both lines satisfies the point (-2,3) (intersection point)

(−2, 3), because both lines pass through this point

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A school has 63% percent girls and 37%, percent boys. If 23%, percent of the girls wears contacts and 42%, percent of the boys w
Degger [83]

Answer:

30% students

Step-by-step explanation:

Let x be the number of total students of a school.

63% are girls then total number of girls = (0.63)x

37% are boys then total number of boys = ( 0.37)x

Now 23% of girls wear contacts then total number of girls

= (0.63x) × 0.23

=  (0.1449x)

And 42% of boys wear contacts then total number of boys wearing contacts

= (0.37x) ( 0.42)

= (0.1554)x

Total students wears contacts = ( 0.1449x) + (0.1554x)

                                                  = (0.3003x)

Percentage of students wear contacts = \frac{\text{total students wear contacts}}{\text{total students in school}} × 100

= \frac{0.03003x}{x} × 100

= 30%

All 30% students wear contacts.

4 0
3 years ago
A regular
vivado [14]
The correct answer is The letter b
3 0
3 years ago
12080 gallons per month into liters per hour
ryzh [129]
Keeping in mind that, there are 3.78 liters in 1 US gallon and say 30days per month and 24 hours in a day.. then

\bf \cfrac{12080~\underline{g}}{\underline{month}}\cdot\cfrac{3.78~liter}{\underline{g}} \cdot \cfrac{\underline{month}}{30~\underline{day}}\cdot \cfrac{\underline{day}}{24~hr}\implies \cfrac{12080\cdot 3.78~liter}{30\cdot 24~hr}
\\\\\\
\cfrac{45662.4~liter}{720~hr}\implies 63.42\frac{liter}{hr}
4 0
3 years ago
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rosijanka [135]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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Your bag of rice says to mix 1 cup of rice with 2 cups of water. dela requ prov a. What is the ratio of rice to water? refer to
EastWind [94]

Answer:

(a) 1:2

(b) 6 cups

(c) \dfrac{2}{3}

Step-by-step explanation:

(a) Given,

amount of rice mixture contains= 1 cup

amount of water mixture contains= 2 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                                                              =\ \dfrac{1}{2}

So, the ratio of rice to water is 1:2.

(b) Amount of rice in mixture = 3 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                      =>\ \dfrac{1}{2}\ =\ \dfrac{3}{\textrm{amount of water in mixture}}

                       => amount of water in mixture = 3 x 2

                                                                          = 6 cups

(c) \textrm{amount of rice in mixture}\ =\dfrac{1}{3}

 \textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

   =>\ \dfrac{1}{2}\ =\ \dfrac{\dfrac{1}{3}}{\textrm{amount of water in mixture}}

  =>\textrm{amount of water in mixture}\ =\ \dfrac{2}{3}

So, the amount of water in the mixture will be \dfrac{2}{3} cup.

7 0
3 years ago
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