Sarah is training for a bike race. She rides her bike 5 3/4 miles in 1/3 hour. What is Sarah’s rate in miles per hour. Express your answer as a mixed number

Answer:

Principle (P) = $2,512.56 (Approx)

Step-by-step explanation:

Given:

Interest annually (R) = 9.5% = 0.095

Amount need (A) = $9500

Time period (T) = 14 years

Find:

Principle (P)

Computation:

A = P[e^(R*T)]

9,500 = P[e^(0.095 x 14)]

9,500 = P[3.781]

P = 9,500 / 3.781

Principle (P) = $2,512.56 (Approx)

Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.

A compound interest is given by the formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.

Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]

Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.

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33/40

Step-by-step explanation:

you have to look for the lcm

1/5+5/8

8/40+25/40=33/40

how to do it and the answers are above

i hope this help you

if you don't understand, please comment ✔️✔️✔️

Answer:

1h 54 mins

Step-by-step explanation:

What is asked? : time did they spend in BOTH ways

What are given? : time they go and back

Write the mathematical sentece :

[tex]( \frac{2}{5} \times 60) + (1 \frac{1}{2} \times 60) = [/tex]

Solution and answer : (24) + (90) = 114 mins

= 114 mins - 60 mins

= 1h 54 mins

Answer:

y - 4 = -0.5(x + 6)

Step-by-step explanation:

Answer:(4-,6)

Step-by-step explanation:hope this helps  u i do my best to helps ever one

Answer:

63 grams

Step-by-step explanation:

42*4+Δ = 42+ 3*Δ

168 +Δ = 42 +3Δ subtract a triangle from both sides

168+Δ-Δ=42+3Δ-Δ

168 = 42 +2Δsubtract 42 from both sides

168-42 = 2Δ

126 = 2Δ divide both sides by 2

63 = Δ

Answer:

7/20

Step-by-step explanation:

[tex] 0.35 = \frac{35}{100} = \frac{7}{20} \\ \\ [/tex]

Answer:

7/20

Step-by-step explanation:

35/5=7

100/5=20

35/100=7/20

Answer:

I think its B cause i was solving it and my answer came close to letter B

Step-by-step explanation:

i tried

Answer:

A and B are parallel.

Answer: if yall need the answer for this then its C

Step-by-step explanation:

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  ([tex]y = \frac{3}{4}x + 2[/tex])

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

[tex]y=\frac{3}{4}x+2[/tex]

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

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The answer is

X = -10

Apologies though, I am not good at explaining.

Answer:

Step-by-step explanation:

c+d=d+c

Associative Property

Answer:

7 mi

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

12,320 yds

Step 2: Define conversion

1 mi = 1760 yds

Step 3: Find mi

[tex]12,320 \ yds(\frac{1 \ mi}{1760 \ yds} )[/tex] = 7 mi

From the Pythagoras's Theorem, we know that:

(Hypotenuse)² = (base)² + (perpendicular)²

We are Given:

We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)

Solving for the Hypotenuse:

replacing the variables in the Pythagoras's theorem, we get:

Hypotenuse² = (m²-n²)² + (2mn)²

Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²)                  [(a-b)² = a² - 2ab - b²]

Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²

Hypotenuse² = m⁴ + 2m²n² + n⁴

Hypotenuse² = (m²)² + 2m²n² + (n²)²

Hypotenuse² = (m² + n²)²                                              [a² + 2ab + b² = (a+b)²]

taking the square root of both the sides

Hypotenuse = m² + n²

9514 1404 393

Answer:

  4 1 5 3 6 2

Step-by-step explanation:

The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.

The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.

__

Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:

A - 4 (reflexive prop)

B - 1 (given)

C - 5 (ASA)

D - 3 (alt int angle)

E - 6 (the end point of the proof)

F - 2 (definition)

Answer:

B built many roads and temples

Answer:

i dunno

Step-by-step explanation:

Answer:

-0.5. -0.5 is to the right of -1.5

Answer:

3080mm = 3.08 meters

3080mm = 308 centimeters

Step-by-step explanation:

1 meter = 1000 mm

3080mm = 3080/1000 = 3.08 meters

1 centimeter = 10 mm

3080mm = 3080/10 = 308 centimeters

Answer:

×=3

Step-by-step explanation:

6x-4 = x+11

6x-x = 11+4

5x = 15

x = 3

Answer:

The graph of the first equation opens downward while the graph of the second equation opens upward.  Both graphs are parabolas that pass through 0,0.

Answer:

The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.

Step-by-step explanation:

This was the possible answer that was given :)

Answer:

it's the last one i mean 4&1/4

Answer:

last image== four and one fourth

Answer:

ITS THE 2ND ONE

Step-by-step explanation:

Answer:

y = 5/4x - 1

Step-by-step explanation:

if you look at the graph you will probably be able to tell

im not trying to be me if you think

Answer:

1.41

Step-by-step explanation:

Given the table :

X : _____0 ___ 1 ____ 2 ____ 3 ____ 4 ____5 P(X= x)_ 11/48_7/24_ 3/16____1/6___ 1/12 __1/24

The standard deviation = √var(x)

The Variance : Var(X) = (Σx²*p(x)) - μ²

μ = E(X) = Σ(X * p(x)) :

Σ(X * p(x)) = (0*(11/48))+(1*(7/24))+(2*(3/16))+(3*(1/6))+(4*(1/12))+(5*(1/24))

μ = 1.70833333

Var(X): [(0^2*(11/48))+(1^2*(7/24))+(2^2*(3/16))+(3^2*(1/6))+(4^2*(1/12))+(5^2*(1/24))] - 1.70833333^2

= 4.9166667 - 2.9184027663889

Std (x) = √1.9982639336111

Std (x) = 1.4135996

Std (x) = 1.41

Answer:

The Standard deviation of the random variable is 1.414.

Step-by-step explanation:

We Know,

Standard deviation= [tex]\sqrt{variance}[/tex]

Variance is given by:

[tex]Var(X)=E(X^{2} )-E(X)^{2}\\[/tex]

Given,

[tex]x = 0\ 1\ 2\ 3\ 4\ 5\\P(X=x)= \frac{11}{48} \ \frac{7}{24} \ \frac{3}{16}\ \frac{1}{6}\ \frac{1}{12}\ \frac{1}{24} \\[/tex]

[tex]E(X)=[/tex]∑ [tex]x*P(X)[/tex]

[tex]E(X) = 0+ 1*\frac{7}{24} + 2*\frac{3}{16} + 3*\frac{1}{6} + 4*\frac{1}{12} + 5*\frac{1}{24}\\= 1.7083[/tex]

[tex]E(X^{2} ) =[/tex][tex]0+ 1^{2} *\frac{7}{24} + 2^{2} *\frac{3}{16} + 3^{2} *\frac{1}{6} + 4^{2} *\frac{1}{12} + 5^{2} *\frac{1}{24}[/tex]

[tex]= 4.9167[/tex]

So,

[tex]Var(X)= 4.9167- 1.7083^{2}[/tex]

[tex]= 1.99841\\\\Hence, Standard Deviation= \sqrt{1.99841} \\\\ Standard Deviation= 1.413( (upto 3 decimals)[/tex]

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390 because 1025 plus 85 =1,110-1,500 = 390 so he has to spend 390 more

Answer:

30

Step by step explanation:

lol