Please help me!!!!

Liam and Evan are mixing paint. Liam uses 2 quarts of yellow paint and adds 3 1/4 jars of blue paint.
Evan uses 1/2 quart of yellow paint and adds 5 1/2 jars of red paint. They end up with the same volume of paint.

Answer:

y=-2.5[tex]x^{2}[/tex]+4.5x+1.5

Step-by-step explanation:

standard form of equation of parabola is,

y=a[tex]x^{2}[/tex]+bx+c

For x=0

1.5=0a+0b+c

1.5=c

For x=-2,

2.5=4a-2b+c

substituting the value of c

2.5=4a-2b+1.5

on solving,

4a-2b=1____________(1)

For x=4,

-60.5=16a+4b+c

substituting the value of c,

-60.5=16a+4b+1.5

on solving,

16a+4b=-62_______(2)

Multiplying equation 1 by 2,

8a-4b=2_______(3)

adding equation 2 and 3

16a+4b+8a-4b=-62+2

24a=-60

on solving,

a=-2.5

substituting the value of a in equation 1,

10-2b=1

2b=9

b=4.5

hence, equation of parabola in standard form is,

y=-2.5[tex]x^{2}[/tex]+4.5x+1.5

Répondre:

8/15

Explication étape par étape:

Prendre:

Longueur = x

Largeur = y

Zone du rectangle = Longueur * largeur

Un cinquième de longueur = x / 5

Un tiers de largeur = x / 3

Zone d'origine = xy

Nouvelle dimension:

Longueur = x + x / 5 = (5x + x) / 5 = 6x / 5

Largeur = x + x / 3 = (3y + y) / 3 = 4y / 3

Nouvelle zone = 6x / 5 * 4y / 3

Nouvelle zone = (24/15) xy

Fraction de la nouvelle zone par rapport à la zone d'origine:

(24/15) xy: xy

24/15: 1

24/15

= 8/5

Answer:

392cm³

Step-by-step explanation:

First, we need to find what fraction of the whole volume was just added. We started with 4/7 and ended up with 3/4, so we can take the difference of the two to find the fractional part added:

[tex]\frac{3}{4}-\frac{4}{7} =\\\\\frac{21}{28}-\frac{16}{28} =\frac{5}{28}[/tex]

So, that 70cm³ represents 5/28 of the whole glass. If 70cm³ is 5/28 of the glass's volume, then 70/5 = 14cm³ must be 1/28 of the volume. From here, we can simply multiply 14 by 28 to find the total volume, all 28/28 of it:

14 · 28 = 392cm²

Answer:

y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] is -3.

Step-by-step explanation:

We need to find the function that had the same y-intercept as the function [tex]y=\frac{2}{3}x-3[/tex]

(Note: Since the options are not given, so I will find the y-intercept of the given equation and you can match it with the functions and find the y-intercept of the required function)

The equation given [tex]y=\frac{2}{3}x-3[/tex] is written in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Comparing equation [tex]y=\frac{2}{3}x-3[/tex] with [tex]y=mx+b[/tex] we get the value of b = -3

So, y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] is -3.

Now, for the options (not included) in the question, you can find y-intercept and function that have y-intercept = -3 will be the answer.

Given the data from the question, the correct statement is: the ratio 1:5 is less than 3:10

To otain the comparison of both ratios, we shall determine the value of each ratio. This is illustrated below:

1 : 5 = 1 / 5

1 : 5 = 0.2

3 : 10 = 3 / 10

3 : 10 = 0.3

SUMMARY

Thus, we can conclude that 1:5 is less than 3:10

Learn more about ratios:

https://brainly.com/question/2462048

#SPJ1

Answer:

x = 5

Step-by-step explanation:

11x - 4 + 20x = 151

31x - 4 = 151

31x - 4 + 4 = 151 +4

31x = 155

31x/31 = 155/31

x=5

Answer:

14.4

Step-by-step explanation:

Change 8% to a decimal which is 0.08 and then multiply 180 × 0.08 then you should get 14.4 Hope this Helps

Answer: the answer is 23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

10+8+5=23

Answer:

7

Step-by-step explanation:

Answer:

i got 7

Step-by-step explanation:

Answer: The perimeter of the large rectangle measured 75 feet.

Step-by-step explanation:

For two similar rectangles,

[tex]\dfrac{\text{Perimeter of image }}{\text{Perimeter of pre-image }}=\dfrac{3}{2}[/tex]

The perimeter of the small rectangle is 50 feet.

Given ratio between two similar rectangles: 3:2

So,

[tex]\dfrac{\text{perimeter of large rectangle}}{\text{perimeter of small rectangle}}=\dfrac{3}{2}\\\\\Rightarrow\ \dfrac{\text{perimeter of large rectangle}}{50}=\dfrac{3}{2}\\\\\Rightarrow\ \text{Perimeter of large rectangle} =\dfrac{3}{2}\times50\\\\\Rightarrow\ \text{Perimeter of large rectangle} =75[/tex]

Hence, the perimeter of the large rectangle measured 75 feet.

The perimeter of a rectangle is the sum of the dimension of the rectangle

The ratio of the side length is given as:

[tex]Ratio = 3 : 2[/tex]

Represent the perimeters of both rectangles with

P1 and P2.

So, we have:

[tex]P1 : P2 = 3 : 2[/tex]

The smaller rectangle has a perimeter of 50 feet.

So, we have:

[tex]P1 : 50 = 3 : 2[/tex]

Express as fraction

[tex]\frac{P1 }{ 50 }= \frac 3 2[/tex]

Multiply both sides by 50

[tex]P1= \frac 3 2 \times 50[/tex]

[tex]P1= 75[/tex]

Hence, the perimeter of the larger rectangle is 75 feet

Read more about perimeters at:

https://brainly.com/question/24571594

Answer:

Your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.

Answer:

Slope is -3/4

Y intercept is 7

y= -3/4x+7

Answer:SAS

Step-by-step explanation:

Answer:

Part 1

The given information represented as a function, f(x) is;

f(x) = 150 - 10·x

Part 2

Please find attached the given information represented as a graph is created with Microsoft Excel

Part 3

Mrs. Dyal will run out of pencils after giving away pencils for 15 weeks

Step-by-step explanation:

The word problem relates to linear functions of the form f(x) = y = m·x + c

The given parameters are;

The number of pencils Mrs. Dyal has at the start of the year = 150 pencils

The number of pencils Mrs. Dyal gives away per week = 10 pencils

Part 1

Let "x" represent the number of weeks at which Mrs. Dyal is giving away the pencils

Given that she gives away 10 pencils each week, we have the function that represent the number of pencils remaining after "x" weeks is given as follows;

f(x) = 150 - 10×x.

The number of weeks, "x", that passes before Mrs. Dyal runs out of pencil (f(x) = 0) is given as follows;

f(x) = 0 = 150 - 10 × x

∴ 150 Pencils = 10 Pencils/Week × x

x = 150 Pencils/(10 Pencils/Week) = 15 Weeks

x = 15 Weeks

Therefore Mrs. Dyal will run out of Pencil at when x = 15 Weeks

Part 2

The function can be represented as a graph using the table of values as follows ;

Pencil remaining  [tex]{}[/tex]              Number of weeks

150                      [tex]{}[/tex]                    0

140                       [tex]{}[/tex]                    1

130                      [tex]{}[/tex]                     2

120                      [tex]{}[/tex]                     3

110                      [tex]{}[/tex]                      4

100                      [tex]{}[/tex]                     5

90                      [tex]{}[/tex]                      6

80                      [tex]{}[/tex]                      7

70                      [tex]{}[/tex]                      8

60                      [tex]{}[/tex]                      9

50                      [tex]{}[/tex]                      10

40                      [tex]{}[/tex]                      11

30                      [tex]{}[/tex]                      12

20                      [tex]{}[/tex]                      13

10                      [tex]{}[/tex]                       14

0                      [tex]{}[/tex]                        15

The domain = 0 ≤ x ≤ 15 {x ∈ N including 0}

The range = 0 ≤ f(x) ≤ 150

From the graph of the function created with Microsoft Excel, Mrs Dyal has no more Pencils left when x = 15 weeks

Answer:

-18x-36y

Step-by-step explanation:

Distributive Property:

-9*2x=-18x

-9*4y=-36y

-18x-36y

Answer:

29

Step-by-step explanation:

count the rectangles one by one :)

Answer:

C) 5

Step-by-step explanation:

The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)

The sum of all the angles of a triangle is 180° as well.

You can write an equation to solve for x.

12x + 9x + 75 = 180

Isolate x.

12x + 9x = 180 - 75

12x + 9x = 105

Add the 12 and the 9.

21x = 105

Find what x is.

x = 105 ÷ 21

x = 5

Answer:

X=32.666

Step-by-step explanation:

12(x-2)+3x=12(x+6)+2

12x - 25 + 3x = 12x + 72 +2

15x-24=12x+74

15x=12x+98

3x=98

x=32.666

Hope this helped!

Answer:

x=32.67

Step-by-step explanation:

12(x-2)+3x=12(x+6)+2

12x-24+3x=12x+72+2

simplify

15x-24=12x+74

15x-12x-24=12x-12x+74

3x-24=74

3x-24+24=74+24

3x=98

x=32.67

Answer:

17

Step-by-step explanation:

USING BIDMAS (Brackets Indices Division Multiplication Addition Subtraction)

6 − (9 − 2) + 3 × 6

9-2=7

3x6=18

6-7+18=17

Answer:

28x

Step-by-step explanation:

Answer:

8.28 is the difference in times in which the students completed the lap.

Step-by-step explanation:

Subtract 74.20 and 65.92 and that gives you your answer.

Answer:

y = 4

Step-by-step explanation:

y/16 = 5/20 = 2/8

y/16 = 1/4 = 1/4

Answer: 4

Step-by-step explanation:

My previous explanation got deleted

Answer:

12

Step-by-step explanation:

Sara brought a total of 5 cartons of blackberries. Since it said that Sara brought 6 cartons and you know that the cost of the blackberries are $2, you multiply 6 with 2 but its 12. But if Sara  brought 2 cartons of raspberries it will be $3. Now you subtract 6 with 2 since you used 2 cartons on raspberries and now multiply $2 with 4 and get 8. 8+3=11, which is exactly how much she needs. This means that Sara brought 4 cartons of blackberries.

Answer:

55%

Step-by-step explanation: