kate is making a recipe that calls for 1 2/3 cups of sugar. she wants to cut the recipe in half. how much sugar should kate use

Write a problem that involves finding the unknown measure of a side of a rectangle include the solution?

tankabanditka [31]

Problem:
The area of the patio of a relative's house is 20 square meters.
The width of the patio is 2 meters.
What is the length of the patio?
Solution:
The area is:
A = (w) * (l)
Where,
w: width
l: long
Clearing l we have:
l = A / w
Substituting values:
l = 20/2
l = 10 meters

7 0

2 years ago

Help me on this please I’d appreciate it

Andrei [34K]

Answer:

27.7 (rounded)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Jason owns a small textile company that produces shirts. On a particular day, Jason has one worker come into the shop to make sh

Vesna [10]

Answer:

Variables:

$x$ → The number of hours the worker worked

$y$ → The number of shirts the worker made.

System fo equations:

$\left \{ {{25x+1.75 y=270} \atop {y=5x}} \right.$

Step-by-step explanation:

Let be $x$ the number of hours the worker worked and $y$ the number of shirts the worker made.

Since:

Jason must pay the worker $25 per hour (which can be represented with $25x$ ).
He must pay $1.75 per shirt for material costs (which can be represented with $1.75y$ ).
The total expenses were $270.

You can write the following equation:

$25x+1.75 y=270$

Knowing that the worker created an average of 5 shirts per hour, you can write the other equation:

$y=5x$

Therefore, with this equations you can set up the following system of equations, which could be used to determine the number of hours the worker worked and the number of shirts the worker made:

$\left \{ {{25x+1.75 y=270} \atop {y=5x}} \right.$

3 0

2 years ago

you drop a ball from a height of 98 feet. at the same time, your friend throws a ball upward. the polynomials represent the heig

Ostrovityanka [42]

a) $h_0 -u_y t$

b) See interpretation below

Step-by-step explanation:

a)

The motion of both balls is a free-fall motion: it means that the ball is acted upon the force of gravity only.

Therefore, this means that the motion of the ball is a uniformly accelerated motion, with constant acceleration equal to the acceleration of gravity:

$g=32 ft/s^2$

in the downward direction.

For the ball dropped from the initial height of $h_0 = 98 ft$ , the height at time t is given by

$h(t) = h_0 -\frac{1}{2}gt^2$ (1)

The ball which is thrown upward from the ground instead is fired with an initial vertical velocity $u_y$ , and its starting height is zero, so its position at time t is given by

$h'(t)=u_y t - \frac{1}{2}gt^2$ (2)

Therefore, the polynomial that represents the distance between the two balls is:

$h(t)-h'(t)=h_0 - \frac{1}{2}gt^2 - (u_y t - \frac{1}{2}gt^2) = h_0 -u_y t$

b)

Now we interpret this polynomial, which is:

$\Delta h(t) = h_0 -u_y t$

which represents the distance between the two balls at time t.

The interpretation of the two terms is the following:

- The constant term, $h_0$ , is the initial distance between the two balls, at time t=0 (in fact, the first ball is still at the top of the building, while the second ball is on the ground). For this problem, $h_0 = 98 ft$

- The coefficient of the linear term, $u_y$ , is the initial velocity of the second ball; this terms tells us that the distance between the two balls decreases every second by $u_y$ feet.

5 0

3 years ago

each qyestion mark is a missing exponent. find the value of the exponent and match each correct answer to complete the riddle be

pishuonlain [190]

Please find attached photographs for your answer.

4 0

3 years ago