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brilliants [131]

2 years ago

13

The Waters family budget a maximum amount of $150 per week for groceries. Mr. Waters already spent $40. Write and solve an inequ

ality to determine how much more the Waters family can spend on groceries.

1 answer:

ivann1987 [24]2 years ago

8 0

150-40 less than or equal to $110 -

They can spend less than or equal to $110

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How do you do these questions?

Alika [10]

Answer:

a) - 7 dollars

b) 24.30 dollars

c) - 5 dollars

Step-by-step explanation:

b) 27 / 10%

Divide 27 by 10/100 by multiplying 27 by the reciprocal of 10/100.

27 x 100/10

Multiply 27 and 100 to get 2700.

2700/10

Divide 2700 by 10 to get 270.

270

Divide 270 by 100 to get 2.7

Subtract 27.00 - 2.7 = 24.30

24.30

4 0

2 years ago

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun

WITCHER [35]

Answer:

Required solution (a) $f(x,y,z)=xyz+3z^2+C$ (b) 40.

Step-by-step explanation:

Given,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k$

(a) Let,

$F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}$

Then,

$f_x=yz,f_y=xz,f_z=xy+6z$

Integrating $f_x$ we get,

$f(x,y,z)=xyz+g(y,z)$

Differentiate this with respect to y we get,

$f_y=xz+g'(y,z)$

compairinfg with $f_y=xz$ of the given function we get,

$g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)$

Then,

$f(x,y,z)=xyz+h(z)$

Again differentiate with respect to z we get,

$f_z=xy+h'(z)=xy+6z$

on compairing we get,

$h'(z)=6z\implies h(z)=3z^2+C$ (By integrating h'(z)) where C is integration constant. Hence,

$f(x,y,z)=xyz+3z^2+C$

(b) Next, to find the itegration,

$\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40$

3 0

2 years ago

Directions: Use a proportion to solve the problem.

spin [16.1K]

So, since she weights 6 times more on earth, say for every lb on the moon is 6lbs on earth then.

now, if 1lb on the moon is 6lbs on earth, how much is 90 earth lbs on the moon?

$\bf \begin{array}{ccll}
moon&earth\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&6\\
m&90
\end{array}\implies \cfrac{1}{m}=\cfrac{6}{90}\implies \cfrac{1\cdot 90}{6}=m$

5 0

3 years ago

Elena went 60 meters in 15 seconds Noah went 50 meters in 10 seconds Elena and Noah both moved at a constant speed .how far did

sukhopar [10]

Answer:

I believe it would be 4 meters in one second

Step-by-step explanation:

I think this because you would divide meters by time.

7 0

3 years ago

Read 2 more answers

A number is 3 more than 2nd number, the sum of the two numbers is 17. Find the<br> numbers.

Debora [2.8K]

Your numbers are 7 and 10

4 0

2 years ago