Evaluate 49x - 2 when x = 1

Answer:

a=17

c=9

Step-by-step explanation:

balls

Answer:

c=9 and a=17

Step-by-step explanation:

1. 2a+3c=61

2. 3a+5c=96

the LCM between 2 and 3 is 6 so

equation 1 *3

3.6a+9c+183

equation 2*2

4. 6a+10c=192

equation 3 - equation 4

5. -c=-9

c=9

substitute c into equation 1 or 2 to find a

3a+5(9)=96

3a+45=96

3a=51

a=17

Ratios are written as fractions or in the form a:b.  The  pump should be programmed to deliver 133mL/hr

Ratios are written as fractions or in the form a:b.

According to the question, An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes.

We are to determine the number of mL to be given in 60 minutes (1 hr)

100mL = 45 minutes

x mL = 60 minutes

Take the ratio

100/x = 45/60

Cross multiply

45x = 6000

x = 6000/45
x = 133mL/hr

Hence the  pump should be programmed to deliver 133mL/hr

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Using simple interest, it is found that her interest charge this month will be of $30.

Simple interest is used when there is a single compounding per time period.

The amount of interest after t years in is modeled by:

I(t) = Prt

In which:

In this problem, considering the time in years, the parameters are:

[tex]P = 2000, r = 0.18, t = \frac{1}{12}[/tex]

Hence:

[tex]I(t) = 2000 \times 0.18 \times \frac{1}{12} = 30[/tex]

Her interest charge this month will be of $30.

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Answer:

1.8 kg

...............

Answer:

1.8 kg

Step-by-step explanation:

please note the " / " symbol means "divided by"

9 / 25 of 5

to work this out, we first do 5 / 25 and then the answer x 9

so 5 / 25 = 0.2

0.2 x 9 = 1.8

1.8kg or 1,800g

Hope this makes sense. If you need further explanation, let me know!

- profparis

If I helped you, a brainliest would be appreciated :D

Answer:

12.35

Step-by-step explanation:

Just multiply

[tex]19[/tex]

and

[tex]0.65[/tex]

Because

Orginal Price x Sale Cost= Sale of the Price.

[tex]19 \times 0.65 = 12.35[/tex]

Answer:

v = 3,463,118,874

Step-by-step explanation:

2214 * 225 = 498,510

diameter = 498,510

v = pi(d) * h

v = 3.14(498,510) * 2214

v = 1,564,191 * 2214

v = 3,463,118,874

Answer:

What is the length of a rectangle if the width is

10 centimeters and the diagonal is 16 centimeters?

Step-by-step explanation:

Answer:

The orbit of 0 is the collection of all points (complex numbers) under iteration of x2 + c starting at the seed 0. The fate of the orbit is its eventual behavior. For example, the orbit may tend to a cycle of some period---its fate would then be that cycle. Or it ---may tend to a fixed point.

Answer:

12

Step-by-step explanation:

15/10=1.5

8 times 1.5=12

The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.

It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.

In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.

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Answer:

2/6 or 1/3

Step-by-step explanation:

If it was a average 6 sided cube then 1/3 of the numbers are 3 and one.

The total distance he travelled to the nearest hundredth of a mile is; B: 3.37 miles

Let F represents his starting point.

Let C represent his position from where he went to east direction.

Let H represent his position from where he went to left towards Florida Avenue.

We are given that;

FC = 0.75 miles

CH = 1.2 miles

∠FCH = 90°(This can be deduced from the question)

By Pythagoras theorem, we have;

FH = √(0.75² + 1.2²)

FH = 1.42

Thus;

Total distance he covered = FC + CH + FH

Total distance covered = 0.75 + 1.2 + 1.42

Total distance covered = 3.37 miles

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Answer: No, there isn't anything showing that it is.

No

Step-by-step explanation:

Substitute value of x (10) & y (8) in both equation

x + 9y =14

10 + 9 x 8 = 82

(doesn't give us the output of 14)

2x - 5y = -20

2 x 10 - 5 x 8 = - 20

(this does, but both have to work)

Solution is at (-4.8,2.1):

2x +18y =28

2x - 5y = -20

(minus)

(18 - - 5 & 28 - - 20 those minus becomes a + )

23y = 48

÷23

y= 48/23

(2.1 to 1d.p)

Substitute y to find x

2x - 5y = -20

2x - 5 x 48/23 = - 20

2x - 240/23 = - 20

+240/23

2x = -220/23

÷2

x = - 110/23

X= -4.8 to 1d.p

(-110/23, 48/23)

Hope this helps!

Answer:

Yes

Step-by-step explanation:

Your welcome!

Have a good day! :)

Answer:

From what I can actually read:

Step-by-step explanation:

289 x 76= 21946

25 x 68= 1700

36 x 75= 2700

200 x 60= 12000

200 x 70= 14000

683 x 18= 12294

548 x 63= 34524

629 x 8= 5032

529 x 37= 19537

548 x 63= 34524

100 x 10= 1000

551 x 64= 35264

456 x 12= 5472

42 x 8= 336

68 x 14= 952

And it dosen't matter if you have a multi- numberd equation, because either way you can use a calculator to do the math. and a trick for multiplying by 10 or 100 or 1000: is lets say you have 5 x 1000, instead of doing any math just multiply 1 x 5= 5 then add 3 zero's because 1000 has 3 zeros. You can do this with any number like 10,100,1000,10000 ; you could go on forever.

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

The given parameters are:

See attachment for the image of the above parameters

The distance (x) from the point of departure is then calculated using the following cosine function

a^2 = b^2 + c^2 - 2bc * cos(Ф)

So, we have:

x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)

Evaluate the exponent and the product

x^2 = 6500 - 5477.63

Evaluate the difference

x^2 = 1022.37

Evaluate the exponent

x = 31.97

Hence, the ship is 31.97 miles from its point of departure

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Answer:

72.80= 70(x)^1

x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself

x= 1.04
4% interest is payed annually.

Hence, the simple percent interest per year is [tex]4[/tex]%.

What is the simple percent interest?

Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.

Here given that,

Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].

So,

[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]

which is [tex]4[/tex]% interest is payed annually.

Hence, the simple percent interest per year is [tex]4[/tex]%.

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Formula = 4/3 x pi x r^3

4/3 x 3.14 x 7^3 = 1436.03

answer: a. 1436.03 cubic units

Answer:

answer: a. 1436.03 cubic units

Step-by-step explanation:

I took a test

Answer:

The shaded region of A is 12.5% of the area of B.

Step-by-step explanation:

Although the side of square A is 50% of the side of square B, if you think about things logically here square A is only 25%of square B. Therefore the shaded area HAS to be half of 25% making the answer 12.5%

Answer:

12.5%

Step-by-step explanation:

Since it given that the length of the sie of a square A is 50% of the  length of the side of square B. As well as given us the question we need to find the answer to which is:

Express the area of the shaded region of square A as a percentage of the area of square B.

What we need:

Area of shaded region of Square A as a % of Area of Square B

Now we can solve but first :

Let "b" be the side length of Square B

Let "a" be the side length of Square A

As well as:

It given side length of Square A (a) = 50% (1/2) of side length of Square B (b), therefore we have,

a = ½b

Area of a square = s², where s is the  side length

Area of Square A = (½b)² = b²/4

Area of Square B = b²

Finding the area of the shaded region of the Square A = ½ of area of Square A.

Area of shaded region of Square A = ½*(b²/4) = b²/8

Expressing the area of the shaded portion of square A as a percentage of are of Square B:

Area of shaded portion of Square A ÷ Area of Square B × 100%

Solving:

⇒ [tex]\frac{\frac{b^2}{8}}{b^2}\times100[/tex]

⇒[tex]\frac{b^2}{8}\times\frac{1}{b^2}\times100[/tex]

⇒ [tex]\frac{b^2\times1}{8\timesb^2}\times100[/tex]

⇒ [tex]\frac{b^2}{8\times b^2}\times100[/tex]

⇒ [tex]\frac{1}{8}\times100=12.5[/tex]

Base on the solving above we can conclude that:

The area of the shaded region of Square A is 12.5% of the area of Square B.

~[DiscordUser]~

Answer:

Part A

Let d = number of dogs

Let c = number of cats

Given:

⇒ d + c = 165

Given:

⇒ c = 2d - 24

Part B

Substitute  c = 2d - 24  into  d + c = 165  and solve for d:

⇒ d + 2d - 24 = 165

⇒ 3d - 24 = 165

⇒ 3d = 189

⇒ d = 63

Substitute found value of d into  d + c = 165  and solve for c:

⇒ 63 + c = 165

⇒ c = 102

Therefore, 63 dogs and 102 cats are adopted in the shelter.

Answer:

x = 3

Step-by-step explanation:

[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]

Comparing like terms on both sides, we find:

[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]

[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]

Answer:

on the math and reading test, 240 (reading) and 250 (math) are typical top scores.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

divide 32 by 3/8.

that is 1..3333

into a number that would be 9

Answer: C

Step-by-step explanation:

1% of Rs. 400 = 4

10% of Rs.400 = 40

5%= 20

400+20= Rs. 420 was the price the person may have bought it for

To get a 6% profit, we need to add 6% on top of the price the chair was bought for by the owner

so...

420+ 5% +1%

so..

420+20+4= 444

The answer has come to 444 whereas it is not an option as a possible answer and I am unable to see a miscalculation in my working so if anyone spots a mistake it would be much appreciated. I have gotten a value close to one of the possible answers therefore I think the answer most probably should be "C" according to my working, however it may be  that the person typing in the question may have written the incorrect options.  Either way I have come to a conclusion and if it happens to be a typing error my maths was correct, if no, someone please reach out to me and help me identify where I have gone wrong, Thank you.

Answer:

The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)

Step-by-step explanation:

Step-by-step explanation:

[tex] - 6 < 2x+8< 16[/tex]

-6<2x+8<16

on subtracting 8 from both sides

-14<2x<8

on dividing 2 on both sides

-7<x<4

-7<x<4

I hope it helped you