5 pounds of tomatoes cost $15.50. How much does one pound of tomatoes cost?

A $5.25

B $3.15

C $3.10

D $3.25

Answer:

log8 (2.718) = 0.48

Step-by-step explanation:

In 2.718 ÷ In 8 = 0.999896 ÷ 2.07944

= 0.4808

Expression ㏒₈2.718 = 0.43, since option d. is the correct solution to the given question.

The logarithm is a mathematical function with a number and a base whose solution is the power to which the base needs to be raised to obtain that number.

We need to evaluate ㏒₈2.718.

We will use the base changing formula for the evaluation, which is given by:

㏒ₐX = ㏒ₓX/㏒ₓa

∴㏒₈2.718

= ㏒2.718/㏒8

= 0.4342494523/0.9030899869

= 0.4808484853

Rounding of the answer to two decimal places, ㏒₈2.718 = 0.48.

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Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]

[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

Answer:

The triangle is a right triangle, m<c = 50 degrees, angle A + angle c = 90 degrees.

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

the triangles measurements always add to 180°. the triangle above is a scalene triangle, since none of the angle measurements are the same amount.

Equilateral triangles: All 3 sides are equal

Isoceles triangle: 2 sides are equal

Scalene triangle: No sides are equal

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

Answer:

D. x ≈ 3.3, y = 15.7

Step-by-step explanation:

x = Opposite

y = Adjacent

16 = Hypotenuse

θ = 12°

To find x, we solve using the Trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

x = Opposite

sin 12 = x/16

Cross Multiply

x = sin 12 × 16

x = 3.3265870531

Approximately, x ≈ 3.3

To find y, we solve using the Trigonometric function of cosine

cos θ = Adjacent/ Hypotenuse

y = Adjacent

cos 12 = y/16

Cross Multiply

y = cos 12 × 16

y = 15.650361612

Approximately, y ≈ 15.7

Therefore, x ≈ 3.3, y = 15.7

Option D is correct

Answer:

C. The slope is 3 and the y-intercept is -3

Answer:

theta  =36.45268177

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos theta = 74/92

Taking the inverse cos of each side

cos^-1 ( cos theta) = cos^-1 (74/92)

theta  =36.45268177

Answer:

median is 2

Step-by-step explanation:

I arranged the numbers from low to greatest and found the "middle" number basically

Answer:

2

Step-by-step explanation:

In order to find the Median of a data set, you must first put the numbers in the data set in order so you'd get:1, 1, 1, 1, 2, 2, 4, 6, 6, 8, 48 Then you would count on each side to the middle and whichever digit is in the middle that is your median.

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Hope this helps

Answer:

firstly a triangle has angle sum of 180°

Step-by-step explanation:

let all the three angles be x,y and z such that x+y+z =180°

let x= 58° and y =59°

the to calculate for the unknown z angle ;

make z subject of the formula

thus z= 180° -x-y

> z= (180-58-59)°

z= 180-117

z= 63°

Answer:

63

Step-by-step explanation:

59 + 58 = 117

180 - 117 = 63

To find a third angle you will subtract the sum of the two given angles from 180 because all you have to know is that all of the angles in a triangle always add up to 180°.

i hope this helps. i don't know how to explain

Answer:

X = 6

y = 4

Step-by-step explanation:

Answer: The coordinate of the solution is (0.25,-0.5)

Step-by-step explanation:

the solution is (0.25,-0.5) because when you graph them on a graph, they both intercept at that point.

Answer:

It is 300.88.

Step-by-step explanation: In order for the perimeter of the base to be 18.2, the length and width would have to be 9.1, knowing this, you can plug it into the formula for a pyramid like usual with the height provided.

Answer:

slope of a line is 2/3

Step-by-step explanation:

the coordinate points are:

(3,4)=(x1 , y1)

(0,-2)=(x2 , y2)

slope=y2 - y1/x2 - x1

=-2-4/0-3

=-2/-3

=2/3

Answer:

The answer is "105 kilowatt-hour".

Step-by-step explanation:

Number of kilowatts[tex]= 7\ KW[/tex]

Total hours[tex]= 15 \ hours[/tex]

The total number of kilowatt-hour:

[tex]=7 \times 15\\\\= 105 \ kilowatt-hour[/tex]

Answer:

see below

Step-by-step explanation:

a = -2  b = 4  c = -8

b^2 - 4ac

4^2 - 4( -2) (-8)

16 - (64)  Three negatives multiplied together is negative

-48

Since this is negative there are no real solutions  ( 2 complex solutions)

Answer:

GJI = 242.67

Step-by-step explanation:

A circle is 360 degrees

GI + GJI = 360

The arc length is the same as the angle when it is at the center

117.33 + GJI = 360

GJI = 360 - 117.33

GJI = 242.67

Answer:

GJI = 242.67

Step-by-step explanation:

GI + GJI = 360

117.33 + GJI = 360

GJI = 360 - 117.33

GJI = 242.67

Answer:

B, 33%

Step-by-step explanation:

Let us find the original price of four chairs without the special deal, and compare it with the deal to find the percent savings.

Step 1:

A customer must buy 4 chairs costing $75 each to recieve the deal. Let us multiply 4 by 75 to find the total cost without the deal:

[tex]4*75=\\300[/tex]

Step 2:

We now know the original cost of the 4 chairs, and the price of 4 chairs with a deal. Let us subtract the difference of costs and convert it into a percentage to find percent savings:

[tex]300-200=100\\\frac{100}{300} =\frac{1}{3}[/tex]

[tex]\frac{1}{3}=33[/tex]%

Therefore, B, the percent savings is 33%.

I hope this helps! Let me know if you have any questions :)

Step-by-step explanation:

let the midpoint be (x,y) so

(x,y)= (-4-2/2, -2-10/2)

= (-3 -6)

Answer:

x = 92°

Step-by-step explanation:

The angle measure of the central angle is congruent to the measure of the intercepted arc.

Step-by-step explanation:

the answer is in the above image

The number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations

Combinations have to do with selection compared to permutation that has to do with the arrangement.

If a 3-member committee has to be formed from 2 teachers and 2 parents, the total committee is given as:

Total committee members  = 2 + 2

Total committee members = 4 committees

If 3-member committee has to be formed from them, the number of ways this can be done is given as:

4C3 = 4!/(4-3)!3!
4C3 = 41/3!
4C3 = 4 ways

Hence the number of combinations possible if a 3-member committee has to be formed from 2 teachers and 2 parents is 4 combinations

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Answer:

√27-2 =27-22

√25. =5

the answer is option B

x=27

Answer:

option B : x = 27

Step-by-step explanation:

Answer:

yes they are congruent

Step-by-step explanation:

they have congruent sides to each other

The given figures are congruent.

Given are two figure ABCD and EFGH on a cartesian plane, we need to check if the figures are congruent or not,

The coordinates of the figure ABCD are:
A = (-1, 1), B = (-3, 2), C = (-4, 4) and D = (-2, 6).

The coordinates of the figure EFGH are:
E = (2, 0), F = (4, 1), G = (5, 3) and H = (3, 5).

To check if the figures ABCD and EFGH are congruent, we need to compare the corresponding sides and angles of the two figures.

Congruent figures have the same shape and size, so their corresponding sides must be equal.

Let's compare the corresponding sides of ABCD and EFGH, using the distance formula:

[tex]|D| = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

AB and EF:

[tex]|AB| = \sqrt{(-3+1)^2 + (2-1)^2}\\\\ |AB| = \sqrt{-2^2+1^2} \\\\ |AB| = \sqrt{5}[/tex]

And,

[tex]|EF| = \sqrt{(4-2)^2 + (1-0)^2}\\\\ |EF| = \sqrt{2^2+1^2} \\\\ |EF| = \sqrt{5}[/tex]

∴ AB = EF

Similarly,

[tex]BC =\sqrt{\left(-4-\left(-3\right)\right)^2+\left(4-2\right)^2}\\\\ BC = \sqrt{5}[/tex]

And,

[tex]FG =\sqrt{\left(5-4\right)^2+\left(3-1\right)^2}\\\\ FG = \sqrt{5}[/tex]

[tex]CD = \sqrt{\left(-2-\left(-4\right)\right)^2+\left(6-4\right)^2} \\\\ CD = 2\sqrt{2}[/tex]

And,

[tex]GH=\sqrt{\left(3-5\right)^2+\left(5-3\right)^2}\\\\ GH=2\sqrt{2}[/tex]

[tex]AD =\sqrt{\left(-2-\left(-1\right)\right)^2+\left(6-1\right)^2}\\\\ AD =\sqrt{26}[/tex]

And,

[tex]EH = \sqrt{\left(3-2\right)^2+\left(5-0\right)^2}\\\\EH =\sqrt{26}[/tex]

Therefore, we get,

FG = BC, GH = CD and AD = EH = √26.

Since we get all the corresponding sides are equal.

Hence the figures are congruent.

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Answer:

x=0, y=2

Step-by-step explanation:

if you substutute the answers you will get the correct answer

Answer:

-74

Step-by-step explanation:

you plug in 5 for x

-4(5)^2 + 6(5) + 4

order of operations

5^2 =25

-4 × 25 =-100

6 × 5=30

-100 +30 = -70

-70 - 4=-74

Answer:

boi i don't know you should be studing

Answer:

option b.

Equation of line passing through ( 3, 4) and ( - 1 , 4) :

                                                                        [tex](y + 4) = -2 (x-3)[/tex]

Step-by-step explanation:

Step 1 : Find slope.

  [tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 -- 4}{-1-3} = \frac{8}{-4} = -2[/tex]

Step 2 : Equation of line.

   [tex]( y -y_1) = m (x -x_1) \ , \ where\ (x_1, y_1) = (3, -4) \ , \ m = -2[/tex]

   [tex](y + 4) = -2 (x-3)[/tex]

Answer:

8/45

Step-by-step explanation:

Take the fraction that are superhero comics and multiply by the fraction of superhero comics that are Arachna comics

4/5 * 2/9

8/45

Answer:

C?

Step-by-step explanation: