There were 4 crates of 18 peaches each all the peaches were put into 3 boxes equally how many peaches were there in each box

Given:

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

To verify:

[tex]a(b-c)=ab-ac[/tex] for the given values.

Solution:

We have,

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

We need to verify [tex]a(b-c)=ab-ac[/tex].

Taking left hand side, we get

[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]

[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]

Taking LCM, we get

[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]

Taking right hand side, we get

[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]

[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]

[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]

Taking LCM, we get

[tex]ab-ac=\dfrac{-28-40}{35}[/tex]

[tex]ab-ac=\dfrac{-68}{35}[/tex]

Now,

[tex]LHS=RHS[/tex]

Hence proved.

Answer:  Choice D

53 and 1/3 yards

=======================================================

Work Shown:

40/48 = x/64

5/6 = x/64

5*64 = 6*x

320 = 6x

6x = 320

x = 320/6

x = 53.33333...

x = 53 + 0.3333...

x = 53 + 1/3

x = 53 and 1/3, answer is choice D

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Explanation:

Basically because the quadrilaterals are similar, this means the sides are proportional to one another. This allows us to set up the equation at the very top. In step 3, I cross multiplied. Then later on, I divided both sides by 6.

Keep in mind that the similar figures are because of the parallel lines. If the lines weren't parallel, then the figures may not be similar.

Answer:

46 [tex]\frac{2}{3}[/tex] (For those with the Shelby Road Plot 3 Measurement that says 56 yards.)

Step-by-step explanation:

[tex]\frac{40}{48} = \frac{x}{56} \\\\48x = 2240\\\\x = 46.6667 \\or 46\frac{2}{3}[/tex]

Answer:

x = 30

Step-by-step explanation:

x + 2x + 3x = 180

             6x = 180

              6       6

               x =  30

Answer:

[tex]18-\sqrt{-25}[/tex]

[tex]\sqrt{-25} =5i[/tex]

[tex]=18-5i[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

n(M ∪ T) = n(M) + n(T) - n(M∩T)

               = 150 + 144 - 33

               = 294 - 33

               = 261

Answer:

LCM = 60

Step-by-step explanation:

Product = HCF × LCM

1800 = 30 × LCM

LCM = 1800/30

∴ LCM = 60

The correct option is Second Option

#CarryOnLearning

❦︎Park Hana Moon

Answer:

x = 6

Step-by-step explanation:

Let x = first number

x+4x = 30

5x = 30

Divide by 5

5x/5 =30/5

x = 6

Let's assume the number is N

According to the question,

when I add a number to another number four times as big, the result is 30.

[tex]x+4x=30\\\\5x=30\\\\x=\dfrac{30}{5}\\\\x=\frak{6}[/tex] 

Answer:

Step-by-step explanation:

Answer:

98.0 > 97.7

Step-by-step explanation:

">" Means greater than

"<" Means less than

Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).

Since 98.0 is greater than 97.7, you use the greater than symbol >.

Answer:

Your answer would be 32/49.

Step-by-step explanation:

4/7 tons = 7/8 x

4/7 / 7/8

32/49

The tons of concrete are required to cover the entire bridge is 32/49 tons.

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.

To determine this value, divide 4/7 by 7/8

4/7 ÷ 7/8

4/7 x 8/7 = 32/49 tons

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

c

Step-by-step explanation:

The period is 1 complete cycle of the wave, before repeating.

1 cycle is from - 6 to - 2 , then

period = 4  → c

Answer:

x=11

Step-by-step explanation:

please the answer is proved in the diagram above

Answer:

The null hypothesis is [tex]H_0: \mu = 2.5[/tex].

The alternative hypothesis is [tex]H_1: \mu > 2.5[/tex]

Step-by-step explanation:

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.

At the null hypothesis, we test if the mean is of 2.5 years, that is:

[tex]H_0: \mu = 2.5[/tex]

A study was then done to see if the mean time has increased in the new century.

At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So

[tex]H_1: \mu > 2.5[/tex]

9514 1404 393

Answer:

  y - 155 = 9(x -15)

Step-by-step explanation:

The given points are ...

  (days, coins) = (15, 155) and (22, 218)

The slope is given by the slope formula:

  m = (y2 -y1)/(x2 -x1) = (218 -155)/(22 -15) = 63/7 = 9

The point-slope form is for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Here, we have m=9 and (h, k) = (15, 155), so the equation can be written ...

  y - 155 = 9(x -15)

Answer:

Let area be a and side be s :

[tex]{ \tt{a \: \alpha \: s²}} \\ a = ks²[/tex]

k is a constant, k=1

This is because the point (0,5) is shown on the graph. This is the point on the y axis.

We can say that h(x) = 5 when x = 0.

Answer:

5

Step-by-step explanation:

The fellow who expalined it before before me expalined it correctly, so the answer should be 5.

Answer:

The answers is False

Step-by-step explanation:

Answer:

add 56.25

Step-by-step explanation:

To create a perfect square

add ( half the coefficient of the x- term )²

x² + 2(7.5)x + 7.5²

= x² + 15x + 56.25

= (x + 7.5)² ← a perfect square

9514 1404 393

Answer:

  (c)  615.44 cm^2

Step-by-step explanation:

The surface area of a sphere is given by ...

  A = 4πr² . . . . where r is the radius, half the diameter

  A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²

Answer:

hello,

Step-by-step explanation:

a=12*x³yz⁵=4*3*x³yz⁵

b=16*x⁴y³z²=4*4*x⁴*y³*z²

hcf(a,b)=4*x³*y*z²=4x³yz²

Answer:

a.The ratio of the heights is the square roots of the both of them √64 and √144

which is 8 and 12

b.To find the height of the larger prism you use the ratio of the heights,in a ratio and proportion

8 - 49

12-x

8x/8=588/8

x=73.5

I hope this helps

Answer:

[tex]\boxed{\sf Option \ C \ is \ correct .}[/tex]

Step-by-step explanation:

We need to tell which of the given inequality is true . The given inequalities are ,

[tex]\sf A)\pi + 8 <11\\\\\sf B) \dfrac{\pi}{8} > 2 \\\\\sf C) 3\pi > 9 \\\\\sf D) 2\pi - 1 < 5 [/tex]

Let's check the options one by one .

Option A :-

[tex]\sf\longrightarrow \pi + 8 < 11[/tex]

Subtract 8 to both sides ,

[tex]\sf\longrightarrow \pi < 11 - 8 [/tex]

Simplify ,

[tex]\sf\longrightarrow \pi < 3[/tex]

We know the approximate value of pi 3.14 . But the inequality says pi is less than 3 . Therefore the given inequality is incorrect .

______________________________________

Option B :-

[tex]\sf\longrightarrow \dfrac{\pi}{2} > 2 [/tex]

Multiply both sides by 2 ,

[tex]\sf\longrightarrow \pi > 4 [/tex]

We know the approximate value of pi 3.14 . But the inequality says pi is more than 4 . Therefore the given inequality is incorrect .

______________________________________

Option C :-

[tex]\sf\longrightarrow 3 \pi > 9[/tex]

Divide both sides by 3 ,

[tex]\sf\longrightarrow \pi < 9/3[/tex]

Simplify ,

[tex]\sf\longrightarrow \pi > 3 [/tex]

We know the approximate value of pi 3.14 .And the inequality says pi is more than 3 . Therefore the given inequality is correct .

Option C is correct .

Answer:

Rift =37.92 pounds

Terraza=2.08 pounds

9514 1404 393

Answer:

Step-by-step explanation:

Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...

  13.50t +10.20(40 -t) = 10.37(40)

  3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408

  t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza

Then the quantity of Rift Valley blend required is ...

  40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley

Answer:

[tex] - 12xy {}^{2} [/tex]

Step-by-step explanation:

A coefficient is a rational number in front of multiple consecutive terms.

(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.

(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.

A is the point (-4, 2), and B is the point (2, -4). So the length of AB is

√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72

A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is

√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72

Then the dilation factor is

(2√72) / √72 = 2

As for dying, don't worry about it. It happens to everyone.

Answer: -13

Step-by-step explanation:

[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]

Without using a truth table:

(p ⇒ q) ∨ q   ⇔   (¬p ∨ q) ∨ q   ⇔   ¬p ∨ q   ⇔   p ⇒ q

With a table:

p   …   q   …   p ⇒ q   …   (p ⇒ q) ∨ q

T   …   T   …       T       …          T

T   …   F   …       F       …          F

F   …   T   …       T       …          T

F   …   F   …       T       …          T