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The four numbers are: -4, -2 ,0, 2 Answer.

How do you solve this: the sum of four consecutive even integers is equal to least of the integer

Solution: Let the numbers be n, n+2, n+4 and n+6.

Their sum = 4n+12 = n or

3n+12 = , or

3n = -12,

n= -4

therefore we get -4, -2, 0, 2

The four numbers are: -4, -2 ,0, 2 . Answer.

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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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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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Answer:

%8.3 or 8.3/100

Step-by-step explanation:

o the answer is 7/12 because 1/3 plus 1/4 is 4/12 + 3/12 is 7/12

Answer:

2n-67

Step-by-step explanation:

Twice a number means 'multiply by 2' so we can write 2 x n. We can also write this in a simpler form- 2n

'67 decreased' means minus 67 off your answer so therefore the answer must be:

2n-67

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None of the options is correct. 813 divided by 13 equals 62.538461, whose approximate value is 62

13 times 813 equals 62.538461.

813/13 produces a non-terminating, repeating decimal as a consequence.

The repeating pattern seen above, 538461, is referred to as repetend and is shown with an overline and vinculum.

Another typical parenthetical remark is this one: 813/13 = 62.(538461): However, it's likely that you may see the reptend marked with an ellipsis in daily use: 813 / 13 = 62.538461… .

Decimal 813 divided by 13 equals 62.538461.

In a fraction, 813 is equal to 813/13.

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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°

Answer:

expression

Step-by-step explanation:

It's an expression. The expression happens to be a quadratic polynomial.

An equation must have an equal sign.

An equation is a statement that a number or expression equals a number or expression.

Here, there is no equal sign. There is only an expression.

Answer:

This is an expression

8x2+7x-15

Answer:3/3 cup or 1 full cup

Step-by-step explanation:1/3 cup=12

                                            2/3 cup=24

                                            3/3 or 1 whole cup=36

Answer:

29.16 grams

Step-by-step explanation:

To solve this, you have to use the weight of cocoa formula. So the weight of cocoa = 54% percent of chocolate bar's weight which is 54 gram. So weight of cocoa = 54/100*54. This will give you 29.16 grams.

Total money with Kadeem  = $680

Money spent by him on a new bicycle = $470.65

Money left with him after buying a new bicycle = 680 - 470.65 = 209.35

Money spent by him on 2 bicycle reflectors = 7.87*2 = $15.74

Money left with him after buying reflectors = 209.35 - 15.74 = $193.61

Money spent by him on bike gloves = $15.18

Money left with him after buying biking outfits: 193.61 - 15.18 = $178.43

Cost of each outfit = $50.98

Let the number of outfits Kadeem can buy be x, therefore formulating the equation we get:

50.98x< = 178.43

x< = 3.5

So, Kadeem can buy 3 outfits while staying within budget

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For the time period of  the projectile at least 192 feet above the ground is between 2 second and 6 second

Since s=128t-16t2, we want to know the 2 times where 128t-16t2=192, as those two values will be the begin and end times of the interval in question. We can rewrite that equation in standard quadratic equation form:

16t2-128t+192=0 or, simplified, 8t2-64t+96=0

or t2-8t+12=0

since it is now in quadratic form, we can solve using the quadratic formula:

t = 2 and 6

So the time period from approximately 2 second and 6 second has the projectile above 192 feet.

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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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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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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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Answer: Answer is 15 hours

Step-by-step explanation:Given 6 men dig 5 holes in 25 hours

Therefore 10 men will take to dig 5 holes is

workers(1) × time(1) = workers(2)×time(2)

(This formula is used when Total work is same)

where workers(1)= 6 men

Time (1) = 25 hours

workers (2) = 10 men

We have find out Time(2)=T(2)

by applying above formula

6×25=10×T2

after simplify

T2= 15 hours

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:

Adult tickets = 276

Step-by-step explanation:

a + s = 491          Eq. 1

a = s + 61             Eq. 2

a = adult tickets

s = student ticket

Replacing Eq. 2 in Eq. 1:

(s+61) + s = 491

2s + 61 = 491

2s = 491 - 61

2s = 430

s = 430/2

s = 215

from the Eq. 2

a = s + 61

a = 215 + 61

a = 276

Check:

from Eq. 1:

a + s = 491

276 + 215 = 491

This sequence's explicit formula is [tex]a_n=-5+(n-1)*10[/tex]

What is a sequence?

The common distinction is equal to:

10

The sequence's total is equal to:

40

This sequence's explicit formula is:

[tex]a_n=-5+(n-1)*10[/tex]

This sequence's recursive formula is:

[tex]a_n=a_((n-1))+10[/tex]

Next terms:

-5,5,15,25,35,45,55,65,75,85,95...

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Answer: There are 80 people in the 6th grade

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer: Total distance travelled is 510 km

Step-by-step explanation:

it is given that an automobile travels for

2 hours at 80km/h

3 hours at 110km/h

30 min at 40km/h

to find distance=x(let)

since

distance = speed * time

so

x= 80*2 +110*3 +40*(1/2)  [since 1 hour =60 min so 30 min =1/2 hour]

x=160+330+20

x=510

hence total distance travelled is 510 km

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32 ounces of pure silver were used to make the silver alloy.

Here, we are given that a silversmith combines pure silver that costs $34.48 per ounce with 51 oz of a silver alloy that cost $25.35 per ounce.

Let the amount of pure silver = x oz

Cost of pure silver = $34.48 per ounce

Thus, total cost of pure silver = $34.48x

Similarly, amount of silver alloy = 51 oz

Cost of silver alloy = $25.35 per ounce

Thus, total cost of silver alloy = 25.35 x 51 = $1292.85

Now, the total weight of the new silver allow formed = (x + 51) Oz

and the cost of this new allow = $28.87 per ounce

Thus, the total weight of the new alloy = $28.87 (x + 51)

Hence, we can form the following equation-

$34.48x + $1292.85 = $28.87 (x + 51)

34.48x + 1292.85 = 28.87x + 1472.37

34.48x - 28.87x = 1472.37- 1292.85

5.61x = 179.52

x = 179.52/ 5.61

x= 32

Hence, 32 ounces of pure silver were used to make the silver alloy.

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