4x-2y=12. Solve for y

the length of a rectangle is 8in. more than it’s width. the perimeter of the rectangle is 88in. what are the width and length of

bixtya [17]

Step-by-step explanation:

itulog mo nalang yan, walang ganun lods

4 0

2 years ago

Cidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms weigh 32 ounces and that 1 cylinder

vitfil [10]

Answer:

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

Step-by-step explanation:

Let be $x$ and $y$ the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:

i) She found that 4 cylinders and 5 prisms weigh 32 ounces:

$4\cdot x +5\cdot y = 32\,oz$ (Eq. 1)

ii) And that 1 cylinder and 8 prisms weigh 35 ounces:

$x + 8\cdot y = 35\,oz$ (Eq. 2)

Now we solve the system of linear equations algebraically:

From (Eq. 2):

$x = 35 - 8\cdot y$

(Eq. 2) is (Eq. 1):

$4\cdot (35-8\cdot y) + 5\cdot y = 32$

$140-32\cdot y +5\cdot y = 32$

$32\cdot y - 5\cdot y = 140-32$

$27\cdot y = 108$

$y = 4\,oz$

From (Eq. 2):

$x = 35 - 8\cdot (4)$

$x = 35 - 32$

$x = 3\,oz$

The weights of each cylinder and prism are 3 and 4 ounces, respectively.

4 0

2 years ago

Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

vredina [299]

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

4 0

2 years ago

Match each description to the appropriate provider or service.

lys-0071 [83]

Explanation:

Urgent care centers: care for basic needs after regular doctor hours

Hospitals: treat time-sensitive emergencies

Medical specialists: offer treatment in a specific field of medicine, such as cardiology

General practice doctors and nurse practitioners: care for routine medical needs

Crisis pregnancy centers: provide counseling for unplanned pregnancies

__

Discussion

Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.

Various kinds of pregnancy centers can provide counseling and perhaps some medical services for planned or unplanned pregnancies.

6 0

2 years ago

What is the unit rate of 5/7 : 4/7?

allochka39001 [22]

9514 1404 393

Answer:

a = 5/4

Step-by-step explanation:

To make the second number in this ratio be 1, you need to multiply the whole ratio by 7/4:

(7/4)(5/7) : (7/4)(4/7) = 5/4 : 1 = a : 1

a = 5/4

6 0

2 years ago