1. Find the product of 8,412 x 43 2. A jewelry store has 8/10 of gold. They Need 1/5-ounce groups. how many groups do they need?
3. on every 6th day Angelique goes to the gym to exercise. every 7th day Bentley goes to the gym to exercise. what is the First day Angelique And Bentley will be at gym on the same day?

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

[tex]c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person[/tex]

Hence, this is the required solution.

Answer:

5/24 kg

Step-by-step explanation:

5/6 ÷ 4/1 (keep-change-flip)

5/6 x 1/4 = 5/24

Check the picture below.

Answer:

y=x+1

Step-by-step explanation:

The slope of the equation is 1, you can try the rise over run method or picking 2 points and subtracting them for example 2,3 and 3,4

2,3-3-4=1,1. The y-intercept is 1 because that is the point where the line crosses the y axis.

Answer:

Slope intercept form:

y = mx + b

Where 'y' is the independent variable and 'x' is the dependent variable.

'm' represents the slope(rise/run), and 'b' represents the y-intercept(where the line meets the y-axis).

If we look at this graph, we can see the line meets the y-axis at 1. So 1, will be our y - intercept.

We can also see, that from the point 1, it rises 1 and goes over 1. So 1, will be our slope as well.

To double check this, we select two fixed points on this graph and subtract the y-coordinates from each other and divide the result of that by the x-coordinates subtracted from each other.

y2(second y-coordinate) - y1(first y-coordinate)

_____________________________________

x2(second x-coordinate) - x1(first x-coordinate)

We pick the two points to be, (1,2) and (2,3).

 3 - 2              1

______ = _______, which is equal to 1, so 1 is the slope.

 2 - 1               1

Now we insert these values into our slope intercept form equation:-

y = mx + b

y = 1x + 1 or y = x + 1.

Where 1 is the slope, and the y-intercept is 1.

Answer:

y = 2x + 8

Step-by-step explanation:

the equation of a line in slope-intercept form is.

y = mx+b

where m is the slope and b the y-intercept

to calculate m use the gradient formula

m = (y2−y1 ) / (x2−x1)

let (x1,y1)=(-6,-4) and (x2,y2)=(-4,0)

m = (0 - (-4)) / (-4 - (-6) = 2

y = 2x+b←is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using (-6, -4) then

-4 = -12+b⇒b=8

y = 2x + 8←is the equation of line

Answer:

y = 4x + -5

Step-by-step explanation:

Answer:

[tex]y=4x-5[/tex]

Step-by-step explanation:

parallel lines have the same gradient so line P's gradient would also be 4

line P's equation is [tex]y=4x+c[/tex] but we don't know the c variable yet, so we just plug in the coordinate values

[tex]-5=4(0)+c[/tex]

[tex]-5=c[/tex]

so line P's equation is [tex]y=4x-5[/tex]

Answer: 5 inches

Step-by-step explanation:

The volume of a cylinder is equal to pi*radius^2*height.

We can replace the height with 12 inches and the volume with 942 cubic inches.

Therefore, 942 in^3 = pi*radius^2*12 inches

We can divide both sides by 12:

pi*radius^2 = 78.5 inches^2

We can divide both sides by pi:

Radius^2 = About 24.99 inches^2

We can square both sides:

Radius approximately equals 5 inches.

Answer:

Step-by-step explanation:

interior angle =(n-2)180

=(4-2)*180

=360

360=164+71+24+x

360=260+x

x=360-260

x=100

Answer:

Step-by-step explanation:

Since angles in quadrilateral (4-sided shape) add up to 360 degrees

therefore,

360 = 164 + 71 + 25 + x

360 = 260 + x

subtract 260 from both sides

360-260 = 260-260 + x

100 = x

Answer:

81 is a perfect square

18 isn't a perfect square

50 isn't a perfect square

32 isn't a perfect square

Step-by-step explanation:

Numbers whose square roots are whole numbers, or more accurately positive integers are called perfect root

Example 7×7=49

Answer:

Step-by-step explanation:

We have similar triangles:

Find segment BC using similarity and ratios:

Find EC using Pythagorean:

Correct choice is C

Answer:

Step-by-step explanation:

<7 + <8 = 180 [They are supplementary.]

5x + 5  + x - 5 = 180

6x = 180

x = 180/6

x = 30

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

m<7 = 5x + 5 = 5*30 + 5 = 150+5 = 155

m<8 = x - 5 = 30 - 5 = 25

[tex]\\ \tt\hookrightarrow (x+5)(x+8)[/tex]

[tex]\\ \tt\hookrightarrow x(x+8)+5(x+8)[/tex]

[tex]\\ \tt\hookrightarrow x^2+8x+5x+40[/tex]

[tex]\\ \tt\hookrightarrow x^2+13x+40[/tex]

Done!

Answer:

3.4 kilometers on both days

Step-by-step explanation:

[tex]1.45+0.5=1.95[/tex]

[tex]1.45+1.95=3.4[/tex]

Answer:

Fourth option

Step-by-step explanation:

Given the following question:

[tex]2^2+8^2\div2^2[/tex]

To find the answer we need to convert the exponents into integers and then solve using PEMDAS.

[tex]2^2+8^2\div2^2[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]8^2=8\times8=64[/tex]
[tex]2^2=2\times2=4[/tex]
[tex]4+64\div4[/tex]
[tex]64\div4=16[/tex]
[tex]4+16[/tex]
[tex]4+16=20[/tex]
[tex]=20[/tex]

Your answer is "20" or the fourth option.

Hope this helps.

Answer:

the answer is: 70

Step-by-step explanation:

[tex]s \: = \: \frac{ah}{2} [/tex]

[tex]s \: = \: \frac{70 \: \times \: 20}{2} = \: 70[/tex]

Answer:

-2

Step-by-step explanation:

-5  -4  -3  -2  -1  0  1  2 3  4  5

Answer:

✓50 km

Step-by-step explanation:

Here, Area of parallelogram = base x height

so, at least two data should be given,

hence, let us consider base = height in this case.

Here it becomes,

Area of parallelogram = base²

50 km² = base²

Now, providing square root on both sides,

we get,

✓50 km = base

Hey there!

Started at 3:20 and studied for 2 hours and 15 minutes

=> [tex]3:20 \\ 2:15 \\ \overline{5:35} \\ \overline{ } [/tex]

Therefore, He finished at 5:35

Answer:

6

Step-by-step explanation:

Factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factores of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor.

Answer:

6

Step-by-step explanation:

The common factors of 42 and 90 are 6,3,2,1

Therefore the greatest common factor of 42 and 90 is 6

Answer:

225

Step-by-step explanation:

a[tex]x^{2}[/tex] -  bx + c

[tex](\frac{b}{2}) ^{2}[/tex]

[tex](\frac{-30}{2}) ^{2}[/tex]

[tex](-15)^{2} \\[/tex]

225

[tex](x-15)^{2}[/tex] = [tex]x^{2}[/tex] - 30x + 225

Answer:

3/8 = 0

4/9= 0

Step-by-step explanation:

The quotient is 0 because the numerator is less than the denominator.

Answer:

27/32 is the answer

Step-by-step explanation:

Did the math, did the recipicol of 4/9 then multiplied.

Answer:

$/£ 0.14

Step-by-step explanation:

1 gallon = 128 Ounces

2 gallons = 256 ounces

35.84 ÷ 256 = $/£0.14

Answer: $0.14 per fl oz

Step-by-step explanation:

# of fluid oz per gallon = 128

2 gallons = 256 fl oz

$35.84/256= 0.14

Answer:

The length of QR is 29.9 cm

Step-by-step explanation:

Let us revise the sine and cosine rules

In triangle ABC:

[tex]\frac{AB}{sin(C)}=\frac{BC}{sin(A)}=\frac{AC}{sin(B)}[/tex] ⇒ sine rule

(AC)² = (AB)² + (BC)² - 2(AB)(BC)cos(∠B) ⇒ cosine rule

Let us use these rules to solve the question

In Δ PQS

∵ [tex]\frac{PS}{sin(Q)}=\frac{QS}{sin(P)}[/tex]

∵ PS = 11.7 cm

∵ m∠P = 95°, m∠Q = 28°

→ Substitute them in the rule above

∴ [tex]\frac{11.7}{sin(28)}=\frac{QS}{sin(95)}[/tex]

→ By using cross multiplication

∴ QS × sin(28) = 11.7 × sin(95)

→ Divide both sides by sin(28) to find QS

∴ QS = 24.82680292 cm

Now let us use the cosine rule to find QR

In Δ QSR

∵ (QR)² = (QS)² + (RS)² - 2(QS)(RS)cos(∠QSR)

∵ RS = 10.2 cm

∵ m∠QSR = 110°

→ Substitute these values in the rule above

∴ (QR)² = (24.82680292)² + (10.2)² - 2(24.82680292)(10.2)cos(110)

∴ (QR)² = 893.631984

→ Take √  for both sides

∴ QR = 29.89367799

→ Round it to 3 significant figures

∴ QR = 29.9 cm

Answer:

A=½bh

56=8a(½)

multiply by reciprocal both sides

112=8a

divide

14=a

The amount of text messages sent by teenagers in the United States in 2015 is about 1.98 x [tex]10^{10}[/tex]

Scientific notation is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

2.2 x 10^7 + 9 x 10^2 = 1.98 x 10^10

To learn more about scientific notation, please check: https://brainly.com/question/25334755

Answer:

Off-brand mp3 for $44.99

Step-by-step explanation:

Given;

75% off of a brand name mp3 player that costs $199 or  an off-brand mp3 player for $44.99

Note;

off = discount = decrease

Solve;

Starting with brand name mp3

$199 x 75% = 149.25

199 - 149.25= 49.75

Now with off brand mp3

$44.99 x 75% = 33.7425

Round 33.7425 = 33.74

$44.99 - 33.74 = 11.25

49.75 > 11.25

Hence, we can see that off-brand mp3 player is a better deal.

~Learn with Lenvy~

The probability that you will first choose a red marble followed by a green marble is 20%.

Given that a bag contains 1 blue, 2 green, and 2 red marbles, and you choose a marble with one hand and then a second marble with the other hand, to determine what is the probability that you will first choose a red marble followed by to green marble the following calculation must be made:

Therefore, the probability that you will first choose a red marble followed by a green marble is 20%.

Learn more about probability in https://brainly.com/question/26677483

The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

Data;

To solve this problem, we have to do probability without replacement.

The total number of marbles in the bag is

[tex]1 + 2 + 2 = 5[/tex]

The probability of choosing a red marble is

Number of read marbles = 2

probability of choosing a red marble is

[tex]P = \frac{2}{5}[/tex]

The probability of choosing a green marble after a red marble is

[tex]P = \frac{2}{4} =\frac{1}{2}[/tex]

The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

Learn more on probability here;

https://brainly.com/question/251701

Answer:

A and C are stories that can be represented by the tape diagram.

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

Explanation:

Add -3 to each term to get the next term. This is the same as subtracting 3 from each term. In this case, the common difference is d = -3.

The first term is a = 20

---------

The nth term formula for the arithmetic sequence is

a(n) = a+d(n-1)

a(n) = 20+(-3)(n-1)

a(n) = 20-3n+3

a(n) = -3n+23

If we plug in n = 1, we would get a(n) = 20. Plug in n = 2 to get a(n) = 17. And so on. This helps confirm we have the correct nth term formula.

The solution is, $210 does he have to spend after paying his bills.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month,

i.e. we get,

Drake’s monthly outlay include a $70 phone bill and a $120 car.

so, total spend = $ 120 + 70

                         = $190

now, we have to find how much does he have to spend after paying his bills.

so, we have to subtract 190 from 400

i.e. 400 - 190

=210

Hence, $210 does he have to spend after paying his bills.

To learn more on subtraction click:

brainly.com/question/2346316

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