Duke ate 1.2 kilograms of dog food each day for a total of 8.4 kilograms while his owners were out of town during the month of January. He ate 0.9 kilograms of dog food each day for a total of 7.2 kilograms while his owners were out of town during the month of February. He ate 1.8 kilograms of dog food each day for a total of 10.8 kilograms while his owners were out of town during the month of March. He ate 1.5 kilograms of dog food each day for a total of 13.5 kilograms while his owners were out of town during the month of April. During which month were his owners gone for the shortest period of time?
A.
January
B.
April
C.
February
D.
March

Answer:

a=50

b=40

c=80?

Step-by-step explanation:

a=50 (180-130)

b: 50+90=140 180-140= 40 b=40

c= 40+60=100 180-100=80?

Answer:

x = -20

Step-by-step explanation:

1) Isolate x

-2.5x - 10 = 40

+ 10 + 10

-2.5x = 50

------- ------

-2.5 -2.5

x = -20

Answer:

x=-20

Step-by-step explanation:

-2.5x -10=40

-2.5x -10+10=40+10

-2.5x=50

-2.5x/-2.5=50/-2.5

x=-20

Answer:

2.a. The price of 2.75 kg of pears is $4.62

2.b. The price of 0.19 kg of Pears is $ 0.3192

Step-by-step explanation:

The given parameters are;

The price of each kilogram of Pears = $1.68

Therefore, we have;

The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears

2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62

The price of 2.75 kg of pears = $4.62

2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192

Answer:

4567

Step-by-step explanation:

sdjfgkh

Answer:

1880000

Step-by-step explanation:

1880 * 1000 = 1880000

Answer:

Less

Step-by-step explanation:

Think of it like this:

Four times of 0.36

0.36 + 0.36 + 0.36 + 0.36 = 1.44

So 4 × 0.36 is less than 4

Hope I helped your little sista :)

Answer:

♡ madeline here ♡

- 1 is your answer. ✿

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Step-by-step explanation:

hi

(y-7)  (y+6) =   y²+6y -7y -42

                  =    y² -y -42

Answer:

y = −2x+14

plot the points on a graph, and find the slope :)

Given:

Total number of people who signed up = 76

Each boat can transfer = 9 peoples

To find:

The number of boats required.

Solution:

We know that,

[tex]\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}[/tex]

On substituting the values, we get

[tex]\text{Required number of boats}=\dfrac{76}{9}[/tex]

[tex]\text{Required number of boats}=8.44...[/tex]

Number of required boats must be a whole number. So, approximate the data to the next whole number.

[tex]\text{Required number of boats}=9[/tex]

Therefore, the required number of boats is 9.

Answer:

1.5

Step-by-step explanation:

it is one and one half, in other words.

Answer:

36 oz of cream cheese

sugar: 45 divided by 15 equals 3

12 times 3 equals 36

Answer:

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Step-by-step explanation:

A quadratic function is the standard form of the parabola. We can take advantage of the symmetry property of the parabola by using the following formula from the Analytical Geometry:

[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)

Where:

[tex]C[/tex] - Parabola constant, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Depedent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex of the parabola, dimensionless.

If we know that [tex](x_{1},y_{1})=(2,-6)[/tex], [tex](x_{2},y_{2})=(7,-11)[/tex] and [tex]h = 4[/tex], then we have the following system of linear equations:

[tex](x_{1},y_{1})=(2,-6)[/tex]

[tex]-6-k = C\cdot (2-4)^{2}[/tex]

[tex]4\cdot C +k = -6[/tex] (2)

[tex](x_{2},y_{2})=(7,-11)[/tex]

[tex]-11-k =C\cdot (7-4)^{2}[/tex]

[tex]9\cdot C + k = -11[/tex] (3)

By clearing [tex]k[/tex] in (2) and (3) and equalizing each other, we get that:

[tex]-6-4\cdot C = -11-9\cdot C[/tex]

[tex]5\cdot C = -5[/tex]

[tex]C = -1[/tex]

And the remaining variable is calculated by substituting directly on (3):

[tex]k = -11-9\cdot C[/tex]

[tex]k = -11-9\cdot (-1)[/tex]

[tex]k = -2[/tex]

Then, the equation of the parabola is:

[tex]y+2 = -(x-4)^{2}[/tex]

And the standard form of the equation is obtained by algebraic handling:

[tex]y+2 = -(x^{2}-8\cdot x + 16)[/tex]

[tex]y + 2 = -x^{2}+8\cdot x -16[/tex]

[tex]y = -x^{2}+8\cdot x -18[/tex] (4)

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Answer: he should be at home im sure

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

u can use the ration method

15:15+36

20:6x-7

then cross multiply

and x =12.5

Answer:

x = 12.5

Step-by-step explanation:

The large outer triangle and the small inner triangle are similar, thus the ratio of their corresponding sides are equal, that is

[tex]\frac{20}{6x-7}[/tex] = [tex]\frac{15}{15+36}[/tex] = [tex]\frac{15}{51}[/tex] ( cross- multiply )

15(6x - 7) = 1020 ( divide both sides by 15 )

6x - 7 = 68 ( add 7 to both sides )

6x = 75 ( divide both sides by 6 )

x = 12.5

Answer:

the sum of 7/8 and -7/8 is zero

Step-by-step explanation:

this is because they cancel each other out

Answer:

Step-by-step explanation:

Answer:

No, yes, yes, no

Step-by-step explanation:

23.6/4.02=5.87

2.36/40.2=0.0587

2360/402=5.87

2.36/0.402=5.87

236/4020=0.0587

Answer:

15/8 quartz of grape juice

Step-by-step explanation:

Given that:

Standard Recipe requirement :

1 1/2 quartz of sparkling water requires 3/4 quatz of grape juice

Number of grape juice required for 15/4 of sparkling water ;

Let quartz of grape juice required = x

1 1/2 sparkling water = 3/4 grape juice

15 /4 sparkling water = x grape juice

3/2 = 3/4

15/4 = x

Cross multiply ;

3/2 x = 15/4 * 3/4

3/2x = 45/ 16

x = 45/16 ÷ 3/2

x = 45/16 * 2/3

x = 90/48 = 15/8

x = 15/8 quartz of grape juice

Answer:

-6

Step-by-step explanation:

greater than -8

absolute value is even

absolute value is between 5 & 11

Answer:

$22.75

Step-by-step explanation:

if you multiply $32.50 * 30% you get $9.75

32.50-9.75=$22.75

Answer:

$22.75

Step-by-step explanation:

Convert percent to decimal:

30%=30/100=0.3

Percent formula:

a(1-r)

a(1−r)

32.5(1-0.3)

32.5(1−0.3)

32.5(0.7)

32.5(0.7)

22.75

22.75

Price after discount:

$22.75

Answer:

Wakaba bought 18 granola bars and 9 energy drinks.

Step-by-step explanation:

From the information given, you can write the following equations:

0.50x+2y=27 (1)

x=2y (2),where:

x is the number of granola bars

y is the number of energy drinks

You can replace (2) in (1) and solve for y:

0.50(2y)+2y=27

y+2y=27

3y=27

y=27/3

y=9

Now, you can replace the value of y in (2) to find x:

x=2(9)

x=18

According to this, the answer is that Wakaba bought 18 granola bars and 9 energy drinks.

Answer:

He covers 10/3 or 3 1/3 square feet in 1 hour

Step-by-step explanation:

Seance he covers 2/3 feet in 1/5 hours 2*5 will give you 10 so you have 10/3

Answer:

The answer would be 60 degrees

Step-by-step explanation:

I got the answer from the question after getting it wrong

Answer:

D ( if you add +4 to the (x + 3)^2)

Step-by-step explanation:

Parent function is f(x) = x^2

A translation 3 units left gives y = )x + 3)^2

- and 4 up gives y = (x + 3)^2 + 4 - vertex form.

Standard form :

y = x^2 + 6x + 9 + 4

= x^2 + 6x + 13.

Answer:

5: 6

Step-by-step explanation:

becuase it was basically 100:120 but divide it by 20 and thats  how you get 5;6