question 14: please help asap !!!!

The equation that we need to solve is:

(S + 2*S)*3h = 54mi

The speed of the slower cyclist is 6 mi/h

The speed of the faster cyclist is 12 mi/h.

Let's define S as the speed of the slower cyclist, thus 2*S will be the speed of the other cyclist.

They travel in opposite directions, and after 3 hours the travel a combined distance of 54 miles, then we can write the equation:

(S + 2*S)*3h = 54mi

With that equation, we can determine the speeds of the cyclists.

Solving for S we get:

(S + 2*S)*3h = 54mi

3*S = 54mi/3h = 18 mi/h

S = (18 mi/h)/3 = 6 mi/h

Then the speed of the slower cyclist is 6 miles per hour, and the speed of the faster cyclist is twice that, so it is 2*6 mi/h = 12 miles per hour.

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There are a total of 36 possible answers in digit .

What is digits in math?

Let's assign three blanks for each digit of the unknown number. But let's fill in the tens digit because it is already specified.

_ 4 _

The last digit should be even to make it even. The possible digits for this are 2, 4, 6, and 8. The first digit could be any digit from 1 to 9. Therefore, the possible answers are

142  242  342  442  542  642  742  842  942

144  244  344  444  544  644  744  844  944

146  246  346  446  546  646  746  846  946

148  248  348  448  548  648  748  848  948

Therefore, there are a total of 36 possible answers.

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If a bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. The amount it will cost to add the wood flooring is: $1,190.40.

First step is to calculate the bedroom square feet

Bedroom square feet=14ft ×12ft

Bedroom square feet= 168 sq feet

Second step is to calculate hallway square feet

Hallway square feet=8ft × 3ft

Hallway square feet=24 sq feet

Third step is to calculate the total square feet

Total square feet=168+24

Total square feet=192

Fourth step is to calculate the cost

Cost=$6.20× 192

Cost= $1,190.40

Therefore the amount it will cost to add the wood flooring is: $1,190.40.

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Answer:

6

Step-by-step explanation:

[tex]\sum 2(X-3)=2(3-3)+2(7-3)+2(2-3)=0+8-2=6[/tex]

Answer:

|-5| is equal to 5 because absolute value is the distance from 0

Step-by-step explanation:

Answer:

Las primeras y quizá más sobresaliente características del monasterio y palacio real San Lorenzo de el Escorial son la composición geométrica y simétrica del edificio, el uso de los espacios cuadrados, y la preferencia por lo poco ornamentado, esto resulta bastante contrastante con la arquitectura regular de Europa, en la cual, sobre todo en Italia había predilección por las líneas curvas, los espacios ovalados, circulares, asimétricos y la predominación de un estilo muy ornamanetado con la intención de mover intensamente al espectador ante la unión del poder terrenal y espiritual. Existen rasgos en común con la arquitetura barroca foránea, como el uso de lo clásico como modelo riguroso y la necesidad de representar la grandiosidad e imponencia de la nobleza en la magnitud del palacio. Juan de Herrera fue el arquitecto del rey Felipe II, y quien impuso como estilo español arquitectónico barroco lo poco ornamentado, el recuerdo de lo clásico y los edificios de líneas rectas y grandes magnitudes.

The probability that all of them are rose bouquets is 0.143.

It should be noted that this question is about probability without replacement.

The probability of picking a rise bouquet is 5/7. It should be noted that each value decreases since Ariel is selecting 4 bouquets.

The probability that all of them are rose bouquets will be:

= 5/7 × 4/6 × 3/5 × 2/4

= 5/7 × 2/3 × 3/5 × 1/2

= 30/210

= 1/7

= 0.143

The probability is 0.143.

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Using point estimation, the sample proportion falls between 0.2 and 0.4.

The sample distribution offers details on the point estimator to choose. If the distribution's mean matches the actual value of the population parameter, the estimator is considered to be impartial. As a result, the population percentage p and the sample proportion p ought to be quite similar.

The correct option is C, because the average of 0.2 and 0.4 is 0.3

At a large university it is known that 30% of the students live on campus. The director of student life is going to take a random sample of 500 students. Which of the following is most likely to occur?

a.) The sample proportion falls between 0.3 and 0.5.

b.) The sample proportion falls between 0.1 and 0.3.

c.) The sample proportion falls between 0.2 and 0.4.

d.) The sample proportion falls between 0.25 and 0.35.

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Answer:

  7 mph

Step-by-step explanation:

A boat whose speed in still water is 26 mph makes a trip upstream in 33 minutes and returns in 19 minutes. You want to know the speed of the current.

The travel time is inversely proportional to the speed, so we can write the proportion (using c for the current speed in mph) ...

  time upstream / time downstream = speed downstream / speed upstream

  33/19 = (26 +c)/(26 -c)

Multiplying by 19(26 -c) gives ...

  33(26 -c) = 19(26 +c)

  (33 -19)(26) = (33 +19)c . . . . add 33c -19(26)

  14(26)/(52) = c = 7

The speed of the current is 7 miles per hour.

Answer:

2/15

Step-by-step explanation:

A percent is a number given out of 100

13 1/3% basically is 13 1/3 | 100

You divide and you get 40/3 x 1/100

Simplify by 20 = 40/300 simplify again and you get 2/15.

Answer:

y = 3x - 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (1, - 4) ← 2 points on the line

m = [tex]\frac{-4-2}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

the line crosses the y- axis at (0, - 7 ) ⇒ c = - 7

y = 3x - 7 ← equation of line

Answer:

the Answer is c yo I know it bro

Answer: C

Step-by-step explanation:

x^2 + 6x + 8 = (x + 2 )(x + 4 )

The value of the expression is 0 without calculation.

We have to find the exact value of

sin 26° - cos 26°

From the trigonometric function we know that:

cos (90°-Ф) = sinФ and,

sin(90° -Ф) = cosФ

By this, we have an expression that,

=sin 26° - cos 64°

=sin 26° - cos (90° - 26)

=sin 26° - sin 26°

=0

Therefore the value of sin 26° - cos 64° =0.

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Answer:

17.75

Step-by-step explanation:

253.63 ×0.07=17.7541

Answer:

27 minutes

Step-by-step explanation:

Hello!

500 and 900 are both multiples of 100, so let's first find the rate at which it takes Kofi to type 100 pages.

It takes 3 minutes to type 100 papers.

Since 900 is 9 times 100, we can also multiply the time by 9.

It takes 27 minutes to type 900 papers.

The 16th pentagonal number is 376

A function can be defined as an expression that explains the relationship between a dependent and an independent variable.

Given the function for the nth pentagonal number as;

Pn = n( 3n -1 )/ 2

To determine the 16th pentagonal number, we need to substitute the value of n as 16

We have;

P16 = 16(3(16) - 1)/ 2

P16 = 16( 48 - 1)/ 2

P16 = 16(47)/ 2

expand the bracket

P16 = 376

Thus, the 16th pentagonal number is 376

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Answer:

5

Step-by-step explanation:

f(2) = (2)^2 +2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

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Answer:2/3

Step-by-step explanation:

Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that the Associative Law of Addition explains that a + (b + c) is the same as (a + b) + c.

Therefore, Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that this will still give same value.

Therefore, the correct option is B.

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Step-by-step explanation:

since both shapes are totally symmetric, a few answers are obvious :

(1) F2 = F1 = 50°

(3) B1 = D1 = 20°

last but not least, D2 = B2.

using the fact that the sum of all angles in a triangle is always 180°.

and that the sum of all angles sind a single point on one side of a line is also always 180° :

in the triangle CDF the inner angle C is

C = 180 - 20 - 50 = 110°.

therefore, C1 = 180 - 110 = 70°

E1 = 90° (a major rule for the diagonals of a kite).

D2 = 180 - 90 - 70 = 20°

and so, B2 = 20°

(2) D2 = 20°

(4) B2 = D2 = 20°

hi

"times " =  multiply by

B*T*4 =  4BT   (as it is the custom to put numbers before letters, and letters in alphabetic order)

It is given that RSTU is a parallelogram, so RU ∥ ST by the definition of parallelogram.

Therefore, ∠1 ≅ ∠2 by the alternate interior angles theorem, and m∠1 = m∠2 by the angle congruence postulate .

It is also given that ∠1 and ∠3 are complementary, so m∠1 + m∠3 = 90° by the definition of complementary .

By substitution, m∠2 + m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.

From the given image of the parallelogram, we are given that;

Angle 1 and angle 3 are complementary.

Now, complementary angles sum up to 90°. Thus;

∠1 + ∠3 = 90°

Now, according to definition of parallelogram, we know that alternate interior angles of a parallelogram are congruent(equal). Thus;

∠1 = ∠2

Since ∠1 = ∠2, then by substitution property into the first equation, we have; ∠2 + ∠3 = 90°

Since the sum of ∠2 and ∠3 is equal to 90°, then we can say that they are both complementary angles.

Thus, we conclude that;

It is given that RSTU is a parallelogram, so RU ∥ ST by the definition of parallelogram.

Therefore, ∠1 ≅ ∠2 by the alternate interior angles theorem, and m∠1 = m∠2 by the angle congruence postulate .

It is also given that ∠1 and ∠3 are complementary, so m∠1 + m∠3 = 90° by the definition of complementary .

By substitution, m∠2 + m∠3 = 90°, and so ∠2 and ∠3 are complementary by the definition of complementary.

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Step-by-step explanation:

good job then !

the first thing I see in the graphic is that

BG is half of BD (as a major definition of diagonals in a parallelogram).

BD on the other hand is the Hypotenuse (the side opposite of the 90° angle at A) of the triangle ABD.

to be able to use Pythagoras to get BD, I need to find the length of AB.

this I get from the triangle ABE. this is also a right-angled triangle. AE = 4cm. the angle B1 = 50°. the angle A = 90°.

so, the angle E1 = 180 - 90 - 50 = 40° (remember, the sum of all angles in a triangle is always 180°).

now we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides of the triangle, and A, B, C being the corresponding opposite angles.

so, we have here

AE / sin(50) = AB / sin(40)

4 / sin(50) = AB / sin(40)

AB = 4×sin(40) / sin(50) = 3.356398525... cm

so (Pythagoras),

BD² = AB² + AD² = 3.356398525...² + 9² =

= 11.26541106... + 81 = 92.26541106...

BD = 9.60548859... cm

BG = BD/2 = 4.802744295... cm

and now look at that.

because of the fact that I did not have to go through the other points, I chose the first approach that went through my mind.

and it showed that your teacher created an impossible (contradicting) scenario :

the angle of B1 does not fit to the ratios of the various line segments.

as you correctly calculated CD as 3 cm, that must mean that AB is also 3 cm.

that makes

BD² = 9² + 3² = 81 + 9 = 90

BD = 9.486832981... cm

BG = BD/2 = 4.74341649... cm

PLEASE, USE THIS VALUE.

there is a difference to my previous calculation. and the reason for this is : the 50° for B1 are not correct.

with AE = 4, AB = 3 and then BE = 5, we get

AE / sin(B1) = BE / sin(A)

4 / sin(B1) = 5 / sin(90) = 5

sin(B1) = 4/5 = 0.8

B1 = 53.13010235...°

and not 50° !!!!

Answer:

If he needs 5 1/4 cups for 3 1/2 batches then he needs 1 1/2 cups for a single batch.

nina can swim 8/7 laps in one minute

given that

nina can swim 4 laps in 7/2 minutes

we have to calculate that how many laps can nina swim in 1 minute

then 4 laps= 7/2 minutes

then 4*2 /7 =1 minute

           8/7=1 minute

  thus nina can swim 8/7 laps in one minute

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Answer:

See the picture below.

Step-by-step explanation: