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qaws [65]
3 years ago
8

The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange p

aint is 4:1.
Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)

Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)

Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)
Mathematics
1 answer:
frez [133]3 years ago
6 0

A.  Garcia mixed four cups of yellow paint with one cup of red paint. So, each red paint would be four yellow paints.

B. Garcia should put four cups of red paint for each red paint. I say this because if the ratio is 4:1 that means its four yellow paints to one red paint. 

C. The unit price would be $7, because if you divide 42 by 6, it's 7.

Hope this is right :)

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How many intersections are there of the graphs of the equations below?<br><br> One-halfx + 5y = 6
andre [41]

Answer:

Just go to calulator soup. It’s a website. It will help

Step-by-step explanation:

8 0
3 years ago
cost $12 for adults and 5$ for children .on the first day of the fair 312 tickets were sold for a total of 2204$.How many adults
IrinaVladis [17]

The number of adult tickets and children tickets sold were 92 and 220 respectively

What differentiate adult tickets from children's

The adult tickets can be represented by a while children's ticket is c

The total number of tickets sold which is 312 means the sum of a and c

a+c=312

Total value of adult tickets=a*12

total value of children tickets=c*5

12a+5c=2204

Solve for a in the first equation

a=312-c

substitute for a in the second equation

12a+5c=2204

12(312-c)+5c=2204

3744-12c+5c=2203

3744-2203=12c-5c

1541=7c

c=1541/7

c=220

a=312-220

a=92

Find out more about ticket pricing on: brainly.com/question/13711180

#SPJ1

3 0
2 years ago
Find the point on the line 5x+7y+1=0 which is closest to the point (−4,3).
Keith_Richards [23]

5x + 7y + 1 = 0
4 0
3 years ago
Solve the following equations;-<br><br> x - 9 /√x + 3 =1
fgiga [73]

Answer:

13 , 6.

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation to us is ,

\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1

Cross multiply ,

\sf\implies x - 9 =\sqrt{ x +3}

Squaring both sides ,

\sf\implies (x - 9)^2 = x + 3

Simplify the whole square ,

\sf\implies x^2+9^2-2.9.x = x +3 \\

\sf\implies x^2+81 - 18x = x -3

Add 3 and subtract x on both sides ,

\sf\implies x^2 -18x-x +81-3=0

Simplify ,

\sf\implies x^2 -19x +78=0

Split the middle term of the quadratic equation,

\sf\implies x^2-13x-6x+78=0

Take out common ,

\sf\implies x( x -13)-6(x-13)=0

Take out ( x -13 ) as common ,

\sf\implies ( x -13)(x-6)=0

Equate both factors to 0 ,

\sf\implies \boxed{\pink{\sf x = 13,6}}

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>

7 0
2 years ago
Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
densk [106]

Answer:

A.\ y = x^2 - 6x + 13 is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

y = a(x-h)^2+k

where (h,k) is the vertex of the parabola and

(x,y) are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of x^{2} is positive.

Let a = +1

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

\therefore h = 3

Putting value of a and h in the equation:

y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k

Formula used: (a-b)^2=a^{2} +b^{2} -2\times a \times b

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing y = x^2 - 6x + 13 and y = x^2-6x+9+k

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is A.\ y = x^2 - 6x + 13

3 0
3 years ago
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