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1 year ago

Choose the two expressions that are equivalent to 5. 75 ÷ 1. 15

Mathematics

2 answers:

PSYCHO15rus [73]1 year ago

8 0

Answer:

A and B

Step-by-step explanation:

kirill [66]1 year ago

5 0

Answer:

A and B, but I’m gonna explain it the best I can too.

Step-by-step explanation:

5.75 divided by 1.15 is the same as answer A, since all you are doing is taking away the periods, making it whole numbers.

Again 5.75 divided by 1.15 is the same as B as well, Since it is the same just without the periods and an added zero at the end of each.

This Is so that they are both all equivalent by being whole numbers, but whatever you do to one numbers in the expression that you think is the answer you have to do to the other numbers in the expression

they have to add up completely the same.

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What value of x makes the equation -4x – (-3 − 5x) = -3(2x − 8) true?

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Step-by-step explanation:

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1 year ago

Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 an

Tju [1.3M]

Answer:

7 cups of flour

reason:

to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6

(I may be wrong this is just how I did it)

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2 years ago

Read 2 more answers

Due to fire laws, no more than 720 people may attend a performance at metro auditorium. The balcony holds 120 people. There are

valentina_108 [34]

So what's the question?

7 0

1 year ago

Please answer all of them need this

VikaD [51]

First Question

For a better understanding of the solution provided here please find the first attached file which has the diagram of the the isosceles trapezoid.

We dropped perpendiculars from C and D to intersect AB at Q and P respectively.

As can be seen in $\Delta BCQ$ , we can easily find the values of CQ and BQ.

Since, $Sin(75^0)=\frac{CQ}{8}$

$\therefore CQ=8\times Sin(75^0)\approx 7.73$ ft

In a similar manner we can find BQ as:

$Cos(75^0)=\frac{BQ}{8}$

$BQ\approx2.07$ ft

All these values can be found in the diagram attached.

Thus, because of the inherent symmetry of the isosceles trapezoid, PQ can be found as:

$PQ=22-(AP+QB)=22-(2.07+2.07)=17.86$

Let us now consider $\Delta AQC$

We can apply the Pythagorean Theorem here to find the length of the diagonal AC which is the hypotenuse of $\Delta AQC$ .

$AC=\sqrt{(AQ)^2+(QC)^2}=\sqrt{(AP+PQ)^2+(QC)^2}=\sqrt{(2.07+17.86)^2+(7.73)^2}\approx21.38$ feet.

Thus, out of the given options, Option B is the closest and hence is the answer.

Second Question

For this question we can directly apply the formula for the area of a triangle using sines which is as:

Area= $\frac{1}{2}$ (First Side)(Second Side)(Sine of the angle between the two sides)

Thus, from the given data,

Area= $\frac{1}{2}\times 218.5\times 224.5\times sin(58.2^0)\approx20845$ $m^2$

Therefore, Option D is the correct option.

Third Question

For this question we will apply the Sine Rule to the $\Delta ABC$ given to us.

Thus, from the triangle we will have:

$\frac{AB}{Sin(\angle C)}=\frac{BC}{Sin(\angle A)}$

$\frac{c}{Sin(\angle C)}=\frac{a}{Sin(\angle A)}$

$\frac{17}{Sin(25^0)}=\frac{a}{Sin(45^0)}$

This gives $a$ to be:

$a\approx28.44$

Which is not close to any of the given options.

Fourth Question

Please find the second attachment for a better understanding of the solution provided her.

As can be clearly seen from the attached diagram, we can apply the Cosine Rule here to find the return distance of the plane which is CA.

$AC=\sqrt{(AB)^2+(BC)^2-2(AB)(BC)\times Cos(\angle B)}$

$\therefore AC=\sqrt{(172.20)^2+(111.64)^2-2(172.20)(111.64)\times Cos(177.29^0)}\approx283.8$ miles.

Thus, Option D is the answer.

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2 years ago

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An internet service provider is implementing a new program based on the number of connected devices in each household. Currently

erica [24]

The current rate is simply equal to $175 per month, let us call this as rate A:

A = 175

The new rate is $94 plus $4.50 per devices, let us call this as rate B:

B = 94 + 4.50 x

where x is the number of devices connected to the network

The inequality equation for us to find x which the new plan is less than current plan is:

94 + 4.50 x < 175

Solving for x:

4.50 x < 81

x < 18

So the number of devices must be less than 18.

- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.

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1 year ago

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