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Black_prince [1.1K]
2 years ago
5

Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work

is shown below. What mistake did she make? 45% = StartFraction 45 Over 100 EndFraction = StartFraction 9 Over 20 EndFraction = 4.5
Mathematics
2 answers:
svp [43]2 years ago
7 0

Answer:

Jenny did not make any mistake.

Step-by-step explanation:

From the information given:

We are asked to do three things.

To find the equivalent fraction of 45%, The reduced fraction of 45%, The decimal fraction of 45%

The equivalent fraction of 45% = \mathbf{\dfrac{45}{100}}

The reduced fraction means to divide \mathbf{\dfrac{45}{100}} to its lowest value.

i.e. dividing both the numerator and denominator by 5, we have:

\mathbf{\dfrac{9}{20}}

The decimal fraction of 45% = 0.45

juin [17]2 years ago
5 0

Sample Response: The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.

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If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
klasskru [66]

Answer:

PS = 7x- 7

Step-by-step explanation:

Given

Straight Line, PS

Such that

PR = 4x -2

RS = 3x - 5

Required

Find PS

From the attachment above, it can be seen that RS is a continuation of PS;

This implies that

PS = PR + RS

Substitute PR = 4x -2 and RS = 3x - 5

PS = 4x - 2 + 3x - 5

Collect like terms

PS = 4x + 3x- 2  - 5

PS = 7x- 7

Hence, the length of PS is PS = 7x- 7

8 0
2 years ago
Donald has xxx twenty-dollar bills and 111 ten-dollar bill. How much money does Donald have? Write your answer as an expression.
dexar [7]

Answer:

20x + 10

Step-by-step explanation:

Given that :

Number of $20 bill = x

Number of $10 bill = 1

Total amount of money can be expressed as :

Σ(Value of bill * number of bill)

Hence,

($20 * x) + ($10 * 1)

20x + 10

The expression for the amount of money Donald has is : 20x + 10

3 0
1 year ago
In electrical engineering, the unwanted "noise" in voltage or current signals is often modeled by a Gaussian (i.e., normal) dist
vladimir1956 [14]

Answer:

Cov(X, Y) =0.029.

Step-by-step explanation:

Given that :

The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)

Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.

0.04e–jτj/10 ............(2)

Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.

That is, they are 5 seconds apart,

τ = 5 seconds..............(3)

Thus,

Cov(X, Y), for τ = 5seconds = 0.04e-5/10

= 0.04e-0.5 = 0.04/√e

= 0.04/1.6487

= 0.0292

Thus, Cov(X, Y) =0.029.

5 0
2 years ago
PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab
Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

m=\frac{y_2-y_1}{x_2-x_1}

The product of slopes of two perpendicular lines is -1.

Slope of GR is

\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}

Slope of RT is

\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1

Product of slopes of GR and RT is

\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

(x,y)\rightarrow(x-1,y-2)

Then the coordinates of T' are

(2,6)\rightarrow(2-1,6-2)

(2,6)\rightarrow(1,4)

Slope of RT' is

\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}

Product of slopes of GR and RT' is

\frac{-4}{3}\times \frac{3}{4}=-1

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0
2 years ago
A family are going away for the weekend. They look at a road map to see where their hotel is. The scale used is 1 : 250,000 The
kirill [66]

Answer:

Answer: 21,250m or 21,25km.

Step-by-step explanation:

8.5cm times 250,000 = 2,125,000cm

1m = 100cm is 1cm = 0.01m

2,125,000cm = 2,125,000 times 0.01 = 21,250m

1km = 1,000m is 1m = 0.001km

21,250m = 21,250 times 0.001km = 21.25km

And you get your answer.

6 0
2 years ago
Read 2 more answers
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