Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates

Answer:

Step-by-step explanation: Take awa thoese and it would be 70%

In the case

7 + 9 + 3 = 7 + 3 + 9

we can see this is an addition, then just option 1 and 3 can be true.

In this case we have no grouped numbers but we have that their order was changed.

The associative property refers to grouped numbers and the commutative property refers to the change of order of the terms of the sum, then

Answer:

\(Volume = 2000\ in^3\)

Step-by-step explanation:

Given

Dimension: 10in by 20in by 10in

Required

Determine the capacity of the aquarium

This question implies that, we calculate the volume of the prism and this is calculated by multiplying the dimensions of the aquarium. i.e.

\(Volume = Length * Width * Height\)

Substitute values for the dimensions

\(Volume = 10 * 20 * 10\)

\(Volume = 2000\ in^3\)

Hence, the volume of the aquarium is 2000 cubic inches

Answer:

3) 194 feet

Step-by-step explanation:

The other house:

"a house that is 33 ft wide and 50 ft long"

area = LW = (33 ft)(50 ft) = 1650 ft²

This house:

LW = A

L × 22 ft = 1650 ft²

L = 75 ft

P = 2(L + W)

P = 2(75 ft + 22 ft)

P = 194 ft

Answer: 3) 194 feet

Answer:

3) P = 194 ft.

Step-by-step explanation:

\(A=wl\)

\((30)(50)=22l\)

\(1650=22l\)

\(l=1650/22=75\)

the dimensions of the house are: (22 × 75)

Perimeter:

\(p=2(22)+2(75)=44+150=194\)

Hope this helps

Answer:

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") ... This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Answer:

Chain rule: \(\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}\), u-Substitution: \(f\left[u(x)\right] = \int {\frac{df }{du} } \, du\)

Step-by-step explanation:

Differentiation and integration are reciprocal to each other. The chain rule indicate that a composite function must be differentiated, describing an inductive approach, whereas u-substitution allows integration by simplifying the expression in a deductive manner. That is:

\(\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}\)

Let integrate both sides in terms of x:

\(f[u(x)] = \int {\frac{df}{du} \frac{du}{dx} } \, dx\)

\(f\left[u(x)\right] = \int {\frac{df }{du} } \, du\)

This result indicates that f must be rewritten in terms of u and after that first derivative needs to be found before integration.

Answer:

What up why is there no question

Step-by-step explanation:

Answer:

1 and 3,  if im wrong i am sorry I have not don this in a long time

Step-by-step explanation:

Answer:

I can't read the numbers correctly but a supplementary angles are angle that equal 180*

Hope this helped a little :)

Step-by-step explanation:

Statements must be true concerning event A and event B are that event A and B are independent and not mutually exclusive.

Events that do not take place at the same time are said to be mutually exclusive. For instance, if a coin is tossed, the outcome will either be head or tail; we cannot obtain both outcomes. Since they do not occur at the same time, such occurrences are also known as disjunct events. Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

Given

The owner of the company believes that: the probability of being awarded the first job (event A) is 0.17.

The probability of being awarded the second job (event B) is 0.5; the probability of being awarded both jobs (A and B) is 0.375.

Statements must be true concerning event A and event B:

Event A and B are independent and not mutually exclusive.

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Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

-4x+2

Step-by-step explanation:

-5x+2+x

Answer:

  x = 6

Step-by-step explanation:

12(x -2) +3x = 1/3(x +12) +10x

12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses

15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms

(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3

x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14

The value x=6 satisfies the equation.

The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer:

$162.5

Step-by-step explanation:

12.50x15= 187.5

187.5-25= 162.5

Answer:

There's no Image. I guess you forgot to send.

Answer:

False

Step-by-step explanation:

Answer:

A quadrilateral can't have 2 reflex angles

Step-by-step explanation:

A quadrilateral can't have 2 reflex angles because reflex angles > 180° so if you add two together, it is > 360°

Answer:

4

Step-by-step explanation:

1p:80°-140。＝40°，40°

Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

Answer: b + p ≤ 7

Step-by-step explanation:

Let's use b to represent the number of bags of popcorn purchased and p to represent the number of bags of pretzels purchased.

Since Cai can buy a maximum of 7 bags of popcorn and pretzels altogether, we know that:

b + p ≤ 7

This is the inequality that represents the possible values for the number of bags of popcorn purchased (b) and the number of bags of pretzels purchased (p).

Answer:

if this is a fraction, then negative 5 over a⁶

Answer: 0.333 repeating

Step-by-step explanation:

Answer:

First, I go by finding x and r.

After that, put the numbers (ie. x= # and r=#) into the equations. Check it by finding L.H.S and R.H.S. (ie. left hand side and right hand side)

If you are still confused, comment down and I'll try to provide better explanation!

The percentage decrease from 30 to 3 would be = 90%

Percentage of a value can be defined as the representation of part of that value per 100 with a sign of % attached to it.

The value decrease = 30-3 = 27

Therefore the percentage of 30 that make up 27 would be = 27/30 × 100/1

= 2700/30

= 90%

Therefore, in conclusion, the percentage decrease from 30 to 3 = 90%.

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

Step-by-step explanation:

It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.

Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;

Furthermore, based on the given conditions, we will be formulating the following;

=> (25-22.84) / 12

=> 2.16/12

=> 216/100 × 1/12

=> 9/25 × 1/2

=> 9 / (25×2)

=> 9/50

=> 0.18 yards

Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

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