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konstantin123 [22]

3 years ago

11

Karl bought 3 1/2 gallons of milk that cost $2.70 per gallon. What was the total cost of the milk? Enter your answer in the

box.

2 answers:

pav-90 [236]3 years ago

7 0

Answer:

9.45

Step-by-step explanation:

2.70*3 = 8.10

8.10 + 1.35= 9.45

Mamont248 [21]3 years ago

4 0

Answer:

9.45

Step-by-step explanation:

I took the test, Here is a screenshot of the review

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alexandrea and imani each think of a number. alexandras number is 8 more than Imanis number. the sum of two numbers is 50. what

juin [17]

Alexandera=a
imani=i

a is 8 more than i or
a=8+i

the sum of the 2 numbers is 50 or
a+i=50

a=8+i
so subsitute 8+i for a in a+i=50
8+i+i=50
8+2i=50
subtract 8 from both sides
2i=42
divide both sides by 2
i=21

subsiutte into a=8+i

a=8+21
a=29

a=29
i=21

3 0

2 years ago

A line goes through the origin and the point (6, 14). The point (2, y) is also on the line. Calculate y and justify that your va

guajiro [1.7K]

Answer:

Step-by-step explanation:

The key here is knowing that the equation of the line that passes through these points is same

Thus having (6,14) and (0,0), the slope is as follows;

m = y2-y1/x2-x1 = 0-14/0-6 = -14/-6 = 7/3

Now we can use this slope here to get the value of y in the question

All we need to do is tie write the equation of the line for between the points (6,14) and (2,y)

That would be;

7/3 = y-14/1-6

7/3 = y-14/-5

cross multiply;

-35 = 3(y-14)

-35 = -3y + 42

-3y = -35-42

-3y= -77

y = -77/3

y = 77/3

3 0

3 years ago

Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.

Mama L [17]

Multiplying both sides by $y^2$ gives

$xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1$

so that substituting $v=y^3$ and hence $\frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx}$ gives the linear ODE,

$\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1$

Now multiply both sides by $3x^2$ to get

$x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2$

so that the left side condenses into the derivative of a product.

$\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2$

Integrate both sides, then solve for $v$ , then for $y$ :

$x^3v=\displaystyle\int3x^2\,\mathrm dx$

$x^3v=x^3+C$

$v=1+\dfrac C{x^3}$

$y^3=1+\dfrac C{x^3}$

$\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}$

6 0

3 years ago

Judi is making a frame for a square painting. The square painting is 11 3/8 inches on each side. To make sure that she has enoug

dimulka [17.4K]

Answer:

$53\frac{1}{2}\ in$

Step-by-step explanation:

we know that

The perimeter of a square is equal to

$P=4a$

where

a is the length side of the square

in this problem we have

$a=11\frac{3}{8}\ in$

convert to an improper fraction

$11\frac{3}{8}\ in=\frac{11*8+3}{8}=\frac{91}{8}\ in$

Find the perimeter of the square

$P=4\frac{91}{8}=45.5\ in$

Remember to adds two extra inches for each corner

so

The wood needed is

$45.5\ in+2*4\ in= 53.5\ in$

convert to mixed number

$53.5\ in=53\frac{1}{2}\ in$

5 0

3 years ago

90,000 10years interest rate 6%

BartSMP [9]

Answer:

$54000

Step-by-step explanation:

To find the simple interest,

<h2> $I=PRT$ </h2>

We multiply 90000 × 0.06 × 10

The interest is $54000

8 0

3 years ago