May I please get help with this. I have tried multiple times but still could not get the correct answers for them

On solving the linear equation 12.5 = 2x + 4.5, we find that cost of first type of candy is $4 per pound

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given that there are two types of candies one is of  x dollars per pound

and one is of $1.50 per pound

Cost of 2lb of candy that costs x dollars per pound = 2 × x  = $ 2x

Cost of 3lb of candy that costs  $1.50 per pound  = 3 × 1.5 = $ 4.5

2lb of one type of candy and 3lb of other type of candy are mixed to form a mix of weight 2lb + 3lb = 5lb

The cost of one pound of mixture = $2.50

The cost of 5lb of such mixture = $ 5× 2.50 = $ 12.5

Cost of 5lb mix = Cost of 2lb candy of first type + Cost of 3lb candy of second type

⇒ 12.5 = 2x + 4.5

Subtract 4.5 from both sides,

⇒ 12.5 - 4.5 = 2x

⇒ 8 = 2x

Divide both sides by 2

⇒ 4 = x

Therefore, the cost of first type of candy is $ 4 per pound

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Answer:

x < -1

Step-by-step explanation:

7x + 6 < 3x + 2

7x - 3x + 6 < 2

7x - 3x < 2 - 6

4x < -4

x < -4 / 4

x < -1

Answer:

{-40, 2}

Step-by-step explanation:

Part A: -40/8 x 3/8 would be

120/8 but then we have to subtract it from 3

that would be 117/8 then we simplify it 14 -5/8.

Part B: first it would be 2 plus 2 and that's 4 and then make 4 into a fraction

4/4 we simplify that 1 0/4.

14 -5/8 < 1 0/4.

Hope This Helped!

8 × [tex]10^5[/tex] is 200 times greater than 4 × [tex]10^3[/tex]  as according to multiplying and dividing as per the scientific notation of multiplication and division.

A kind of representation of number which is some power of 1/10 can also be expressed in as easily in scientific notation.

1/10 = [tex]10^{-1[/tex]  (“ten to the minus one power”)

More generally, the expression “[tex]10^{-n[/tex]” (where n is a whole number) means (1/10) n. Thus

[tex]10^{-3[/tex] = [tex]\frac{1}{10}^{-3}[/tex]

= 1/1000

[tex]10^{-8[/tex] = [tex]\frac{1}{10}^{-8[/tex]

= 1/100,000,000

Scientific notation was invented to help scientists (and science students) deal with very large and very small numbers, without getting lost in all the zeros.

Herein this question

8 × [tex]10^5[/tex] can also thus be written as 2 x 4 × [tex]10^5[/tex]. On dividing with 4 × [tex]10^3[/tex] we get 2 x [tex]10^2[/tex]. Thus, it is 2 x [tex]10^2[/tex] i.e., 200 times larger than 4× [tex]10^3[/tex].

The expression “10n”, where n can be stated as a whole number, simply means that “10 is raised to the nth power,” or in other words, a number that is got by using 10 as a factor n times.

You can also notice that the number of zeros that are present in the ordinary decimal expression is absolutely equal to the power to which thus 10 is raised.

If any kind of number is expressed in words, first we have to write it down as an ordinary decimal number and then we have to convert it. Thus, the value “ten million” becomes 10,000,000. There are a total of seven zeros, so in powers of ten notation ten million is written [tex]10^7[/tex].

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Answer:

100+50n

n stands for the number of weeks

There are about 52 weeks in a year, so

100+50(52) = 2700

Greta would have $2700 after 1 year

The number or children tickets are 24 and adults tickets are 9.

Adult tickets (x) cost $7.50 and tickets for children (y) cost $3.50. The equation will be:

7.5x + 3.5y = 139.5

There are 33 tickets. This will be:

x + y = 33

x = 33 - y.

Recall 7.5x + 3.5y = 139.5

Substitute for x.

7.5(33 - y) + 3.5y = 139.5

247.5 - 7.5y + 3.5y = 139.5

-4.5y = 139.5 - 247.5

4.5y = 108

y = 108/4.5

y = 24

Number of children ticket = 24

Adult tickets = 33 - 24 = 9

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Answer:
1 1/2

Step-by-step explanation:

for divide 3 for 9/8 and 3/4 so 9/8 divide 3 so 3/8

So there is 3/8 for each 1/4. Then time 4 so one pound is 12/8 and you simplify your answer is 3/2 or 1 1/2

Pls give brainliest

Answer:

12

Step-by-step explanation:

72:6=12

1x=12

hope ut help

Based on the definition of the median and applying the centroid theorem, the length of WI is calculated as: 6 units.

The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the median of a triangle.

Medians intersect each other at a point inside the triangle that is called the centroid. Based on the centroid theorem, since J is the centroid of triangle XYW, then:

the length of IE is one-third of the length of segment EW (referring to the image given in the question that shows triangle XYW)

Thus, we have the equation that relates the length of the segments as shown below:

IE = 1/3(EW)

Given that:

IE = 3 units

Substitute the value of IE into the equation:

3 = 1/3(EW)

3(3) = EW

9 = EW

EW = 9 units

Therefore:

Length of WI = the length of EW - the length of IE

Substitute

Length of WI = 9 - 3

Length of WI = 6 units.

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The ratio 9:4 in the form n:1 is 2.25:1.

The given ratio is 9:4.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

We need to write the given ratio in the form n:1

Divide the given ratio by 4

9/4 : 4/4

⇒ 2.25:1

Therefore, the ratio 9:4 in the form n:1 is 2.25:1.

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Answer:

6, 2, 6, 2, 6, 6, 1

Step-by-step explanation:

a = 6

b = 2

c = 6

d = 2

e = 6

f = 6

g = 1

Answer: 6, 2, 6, 2, 6, 6, 1

Step-by-step explanation:

Answer:   width=8, length=24

Step-by-step explanation:

2(x+3x)=64

2x+6x=64

x=8

width (x)=8

length (3x)=24

perimeter=2(x+3x)=64

Answer:

A. If two figures have the same shape, then they are congruent.

Check the picture below.

The price of one canadian dollar in US dollars is 91 cents or 0.91 US dollars.

It is given that the price of a US dollar is 1.10 Canadian dollars in the market.

Thus we can say that,

1.10 Canadian Dollar = 1 US Dollar

∴ 1 Canadian Dollar = [tex]\frac{1}{1.10}[/tex] US Dollars

⇒ 1 Canadian Dollar = 0.91 US Dollars

Now we know that 1 US Dollar = 100 cents

∴ 0.91 US Dollars = 0.91 x 100 = 91 cents

Hence the value of 1 Canadian Dollar is 0.91 US Dollars or 91 cents.

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The percent sales tax of the purchase is 3 %.

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

She went shopping for a new pair of sneakers.

The listed price of the pair of sneakers was $43, but the price with tax came to $44.29.

Therefore, the percent sales tax can be found as follows:

sales tax = 44.29 - 43

sales tax = $1.29

Therefore,

percent sale tax = sale tax / cost with tax × 100

percent sale tax =  1.29 / 43 × 100

percent sale tax = 129 / 43

Therefore,

percent sale tax = 3%

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Answer:

1 ; -2·i ; 2·i

Because x = -1 is a real root, you can divide

(x^3 + x^2 + 4·x + 4)/(x + 1) = x^2 + 4

Roots of x^2 + 4 are

x^2 + 4 = 0

x^2 = -4

x = ± 2·i

All real and complex roots are

1 ; -2·i ; 2·i

Answer:

-9,-3

Step-by-step explanation:

-4+-5 = -9

1+-4 = -3

Think about a number line to help you

Answer: -4 + (-5) = -9

1 + (-4) = -3

Step-by-step explanation: Subtract -4 and -5 and u get -9. Subtract 4 and 1 to get -3

Twenty students participated in a psychology experiment which measured their heart rates in two different situations.[75,100] situation shows greater variability.

f(75)=1

f(80)=4

f(90)=5

f(95)=4

f(100)=1

The measure of center should be median as the data is a bit scattered whereas the measure of variability should be the range of it.

Mean should be the measure of center as the data is concentrated in the middle the most whereas the standard deviation should be the measure of variability.

How far apart points are from one another and from the center of a distribution or a data collection is shown by variability. Spread, scatter, and dispersion are other terms for variation.

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Answer:8 dollars

Step-by-step explanation:

20-12=

The price per one pound of almonds equal $2.20/0.65 lb

0.65 pounds of almonds cost $2.20

Verify each case

case 1) The price per one pound of almonds equal $2.20/0.65 lb

The statement is true

To find the price per one pound calculate the unit rate

So,

$2.20/0.65 lb=$3.38 per one pound

case 2) 2.2 pounds of almonds cost $0.65

The statement is not True

The correct is 0.65 pounds of almonds cost $2.2

case 3) Each bag of almonds weighs 2.2 pounds

Cannot be determined

In the problem there is no information about how much each bag of almonds weighs

case 4) 0.65 pounds of almonds cost $2.20

The statement is True

The point (0.65,2.20) lie to the line of the the graph.

To know more about Drag each statement to show whether it is true, based on the graph.

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x-intercept:

(−3,0)

y-intercept:

(0,118098)

The area of the figure shown below is equivalent to 88 square units.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.

The opposite sides of a parallelogram are congruent and the sum of their adjacent side is equivalent to 180 degrees.

The formula for calculating the area of a parallelogram is expressed as;

Area = length * breadth

Area = x * h

Area = 8 * 11

Area = 88 square units

Hence the area of the parallelogram above is 88 square units.

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Answer:

here you go I guess

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think its undefined

Answer:4x^2+24x+36

Step-by-step explanation:

when you have it squared it turns into (2x+6) (2x+6) then you distribute it which gives you 4x^2+12x +12x+36 when you simplify that you et 4x^2+24x+36

Answer:

150 gram is the word

Answer:

1)

The hypotenuse is the longest side of a triangle. It is ALWAYS the one across from the right angle (depicted as the box in the corner at 90 degrees). Therefore the 2 sides that intersect the 90-degree angle are "leg" and "leg" and the longest side is the"hypotenuse"

2)

The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex]  where a and b are sides and c is the hypotenuse.

[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 6^{2} = c^{2} \\64 + 36 = c^{2} \\100 = c^{2} \\\sqrt{100} = c\\10 = c[/tex]

For your purposes, a and b do not matter which number you choose as long as you make sure that they are sides and not the hypotenuse.

3)

The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex]  where a and b are sides and c is the hypotenuse.

[tex]a^{2} + b^{2} = c^{2} \\4^{2} + 7^{2} = c^{2} \\16 + 49= c^{2} \\65 = c^{2} \\\sqrt{65} = c\\8.0622 = c[/tex]

Hope that helps!