The carnival committee has purchased 985 small prizes. The prizes are to be divided equally among the 29 game booths

The number of bicycles (X) in a shop is 4 more that 3 times the number of snowmobiles (Y). What equation symbolically represents

liubo4ka [24]

Answer:

x=3y+4

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3 0

3 years ago

The area of a square slice of cheese is 25 square inches. The perimeter of the slice of cheese is

maxonik [38]

Answer:

As Per Provided Information

Area of given square slice of cheese is 25 square inches .

We have been asked to determine the perimeter of the slice of cheese .

First we will find the side of square slice of cheese .

Let us assume the side of square slice of cheese be s .

Now Let's Solve

$\boxed{\bf \:Area_{(Square)} = {Side}^{2}}$

Substituting the value and we obtain

$\sf \longrightarrow \: 25 = {s}^{2} \\ \\ \\ \sf \longrightarrow \: \sqrt{25} = s \\ \\ \\ \sf \longrightarrow \: s \: = 5 \: inch$

So, the side of square slice cheese is 5 inch

Now let's calculate the Perimeter of cheese

$\boxed{\bf \: Perimeter_{(Square)} = 4 \times side}$

Substituting the value we obtain

$\longrightarrow \sf \: Perimeter_{(Square)} = 4 \times 5 \\ \\ \\ \longrightarrow \sf \: Perimeter_{(Square)} =20 \: inches$

Therefore,

Perimeter of square slice of cheese is 20 inches .

8 0

2 years ago

A cable for a power transformer forms

posledela

Answer:

32 ft

Step-by-step explanation:

From the diagram, the side opposite the 60° angle is 28 feet.

We are looking for the approximate length of the cable.

The approximate length of the cable is the hypotenuse of the triangle shown.

Recall the sine ratio from SOH-CAH-TOA

Which means Sine of the angle is Opposite/Hypotenuse

Let the hypotenuse be h, then we have:

$\sin(60) = \frac{28}{h}$

$0.866 = \frac{28}{h}$

$h = \frac{28}{0.866}$

$h = 32.33$

The length of the cable is approximately 32 feet

3 0

3 years ago

Show that x³ + y³ + z³ - 3xyz is a multiple of x+y+z

White raven [17]

x³ + y³ + z³ - 3xyz is a multiple of x+y+z.

<h3>What is a multiple?</h3>

It should be noted that a multiple simply means a number that van be divided by another a certain number if times without a remainder.

Put x + y + z = 0

= x³ + y³ + z³ - 3xyx

= 0(x² + y² + z² - xt - yz - zx)

= x³ + y³ + z³ - 3xyz = 0.

x³ + y³ + z³ = 3xyz

Learn more about multiples on:

brainly.com/question/251701

#SPJ1

7 0

2 years ago

How do I write an equation with 5he restrictions x does not equal 14, x does not equal 2 and x does not equal 0???

Oxana [17]

Diffusion- The process by which molecules spread themselves out evenly in a given area. This happens by natural molecular movement.How do particles move across membranes?- by osmosis, active transport, simple diffusion and facilitated diffusionSimple/Passive Diffusion- No energy
- Happens across cell membrane
- From high to low concentration ("down the concentration gradient")Controlled/Facilitated Diffusion- diffusion across a membrane through specific protein channels in the membrane, with no energy costOsmosis- Simple diffusion of waterActive Transport- Requires energy
- Happens only at specific channels
- From low to high concentration ("against the concentration gradient")Concentration Gradient- difference in concentration of a substance between one area and anotherGradient- Different or unevenSemi-Permeability- a type of biological membrane that will allow certain molecules or ions to pass through it by diffusion
(- maintain a balance of water in the cell
- ability to differentiate materials that are needed and those that are not needed in the cell, keeping the cell healthy
- ability to control the amount and kind of substances through the cell membranes )What must we understand? (homeostasis- cells)- Cells constantly change concentrations to their benefit and to maintain stable internal conditions.Endocytosis- the movement of bulk liquids or solids into a cell, by the indentation of the plasma membrane to form vesicles containing the substance; active process requiring ATPEndo--means 'inside'Exocytosis- the movement of bulk liquids or solids out of a cell by fusion of vesicles containing the substance with the plasma membrane; active process requiring ATPExo--means 'outside'How many types of Endocytosis are there?- 3 types of endocytosis-- phagocytosis, pinocytosis and receptor mediated endocytosisPhagocytosis- In endocytosis, if the substances being taken in are particles, such as bacteria, then process is called phagocytosisPinocytosis- In endocytosis, if the substances are in solution, such as the end products of digestion, then the process is called pinocytosisReceptor-Mediated Endocytosis- is an endocytotic mechanism in which specific molecules are ingested into the cell.Water Potential- the tendency of water molecules to move from an area of higher concentration to an area of lower concentrationPlasmolysis- Shrinkage of protoplasm away from the cell wall of a plant or bacterium due to water loss from osmosis, therefore resulting in gaps between the cell wall and cell membrane.Protoplasm- the fluid living content of the cell-- composed mainly of nucleic acids, proteins, lipids, carbohydratesTypes of Solutions- hypotonic
- isotonic
- hypertonicHypotonic- concentration of dissolved substances is greater INSIDE the cell
- through osmosis, H2O diffuses INTO the cell
- hippos get fat, so will the cell
[a less concentrated solution (one with a more negative water potential) than the cell solution]Isotonic- concentration of dissolved substances is EQUAL INSIDE and OUTSIDE the cell
- H2O diffuses INTO the cell and OUT of the cell at the same rateHypertonic- concentration of dissolved substances is greater OUTSIDE the cell
- through osmosis, H2O diffuses OUT of the cell
- this cell will shrink
[a more concentrated solution (one with a less negative water potential) than the cell solution]Gene- a length of DNA at a specific location on a chromosome that controls a specific heritable characterisicStandard Deviation (SD)- measures the spread of the data in a set by describing how far the numbers are from the mean
(- a valuable method of analysis
- it takes into account all values & it's not affected by extreme values
- gives you a hint on how accurate the data is- if the method is good- if you can draw a valid conclusion)Equation for Standard Deviationn= # of data pointsHow do you find the mean?- in a data set, add all the values together then divide by the total number of values in the setHigh SD- the data is widely spread (less reliable)Low SD- the data is clustered closely around the mean (more reliable)Cell Membrane- controls what comes in and out of the cellCell Wall- composed of cellulose and other carbohydrates, giving plant cells further support and a more rigid structure than animal cellsNucleus- the brain and control center of the cell:
contains DNA
controls all cellular functions in the cellNucleolus- small body found in the nucleus of eukaryotic cells where ribosomal RNA is synthesisedCytoskeleton- in the structural support;

3 0

3 years ago