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3 years ago

What's the average of 19 from 45

Mathematics

2 answers:

Naya [18.7K]3 years ago

4 0

The average can be calclculated as follows:
average = sum of number/number of numbers
average = (19+45) / 2 = 64/2 = 32

maksim [4K]3 years ago

4 0

32 is the average of those numbers

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Lisa has 12 more stickers than John, and together they have 60 stickers. What is the ratio of the number of Lisa’s stickers to t

Harman [31]

Answer:

The ratio of the number of Lisa’s stickers to the number of John’s stickers is 3/2

Step-by-step explanation:

Step 1

Let

x ----> the number of stickers that Lisa has

y ----> the number of stickers that John has

we know that

$x+y=60$ ------> equation A

$x=y+12$ ----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

$(y+12)+y=60\\ 2y=60-12\\ 2y=48\\ y=24$

Find the value of x

$x=y+12$ -----> $x=24+12=36$

therefore

Lisa has 36 stickers and John has 24 stickers

Step 2

Find the ratio of the number of Lisa’s stickers to the number of John’s stickers

x/y

substitute

$\frac{36}{24}=\frac{3}{2}$

5 0

3 years ago

Every recurring decimal is

prisoha [69]

Answer:

Every repeating or terminating decimal is a rational number

Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.

6 0

3 years ago

Isabelle, who is 62 inches tall, is standing beside a tree and casts a 93 inch shadow on the ground. The shadow of the tree she

Illusion [34]

Given:

Height of Isabelle = 62 inches

Shadow of Isabelle = 93 inches

Shadow of tree = 279 inches

To find:

The height of the tree.

Solution:

Let height of tree be x.

Ratio of height to shadow for Isabelle and tree are

$\dfrac{\text{Height of Isabelle}}{\text{Shadow of Isabelle}}=\dfrac{62}{93}$

$\dfrac{\text{Height of tree}}{\text{Shadow of tree}}=\dfrac{x}{279}$

The shadow of Isabelle and tree are proportional to their shadows. So, both ratios must be equal.

$\dfrac{x}{279}=\dfrac{62}{93}$

Multiply both sides by 279.

$x=\dfrac{62}{93}\times 279$

$x=62\times 3$

$x=186$

Therefore, the height of tree is 186 inches.

8 0

4 years ago

Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respect

AysviL [449]

Answer:

<NPM + <NZM = 146°

Step-by-step explanation:

Given:

In triangle STU: M, N and P are the midpoints of the line TU, US and ST respectively.

Line UZ is the altitude of the triangle STU

<TSU =71°, <TSU = 36°, <TUS = 73°

From the diagram:

N is the midpoint of line SU and M is the mid point of line UT.

∴ Line NM is parallel to line ST

P is the mid point of line ST and M is the mid point of line UT

∴Line PM is parallel to line SU

N is the mid point of line SU and P is the mid point of line ST

∴Line NP is parallel to line UT

Δ SPN = Δ STU = 36°

<SPN + <NPM + <MPT (Sum of angles in a triangle = 180°)

<UST = <MPT = 71°

36° + <NPM + 71° = 180°

<NPM + 107° = 180°

<NPM= 180°-107°

<NPM= 73°

In ΔSNZ, line SN = line NZ

∴ side SN = side NZ

< NSZ = <NZS = 71°

<MTZ = <MZT = 36°

<NZS + <NZM <MZT = 180° (Sum of angles in a triangle = 180°)

71° + <NZM + 36° = 180°

107° + <NZM = 180°

<NZM = 180° - 107°

<NZM = 73°

<NPM + <NZM =73° + 73°

<NPM + <NZM = 146°

5 0

3 years ago

Help please I'm need help with number 4, 5 , and 6

Westkost [7]

4= 121 5= 49 6= 169 hope this helps

4 0

3 years ago

Read 2 more answers