Find the total surface area of this cuboid

Answer:

It would require 40 teaspoons

Step-by-step explanation:

Given that;

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies

The amount of teaspoons of baking soda required per cookie is;

r = 3/36 teaspoons per cookie

So, for 480 cookies i would require;

N = r × 480 cookies

Substituting r, we have;

N = 3/36 teaspoons per cookie × 480 cookies

N = 40 teaspoons

It would require 40 teaspoons

Answer:

B. (1, -5), (3, -9), (6, -2)

Step-by-step explanation:

First vertex: -2 + 3 = 1, -1 - 4 = -5, so (1, -5)

Second vertex: 0 + 3 = 3, -5 - 4 = -9, so (3, -9)

Third vertex: 3 + 3 = 6, 2 - 4 = -2, so (6, -2)

(1, -5), (3, -9), (6, -2)

I hope this helps :))

Answer:

[tex]a=2[/tex]

Step-by-step explanation:

[tex]f\left(x\right)=x^3+2x^2-7x+a\\\\x-2=0\quad\rightarrow \quad x=2\\\\f(2)=2^3+2\cdot \:2^2-7\cdot \:2+a\\\\4=2^3+2\cdot 2^2-7\cdot 2+a\\\\\Rightarrow a=2[/tex]

Best Regards!

Answer:

The ratio APBQ : APBC is 4:21, AAQP : AABC is 3:28

Step-by-step explanation:

Data provided in the question

AP : PC = 1 : 3

So let us assume AP = x and PC = 3x.

And, If AQ : QB = 3 : 4

So, let us assume AQ = 3y and QB = 4y.

Now we have to find the area of ΔAQP and ΔABC

[tex]A_{AQP}=\dfrac{1}{2}\cdot AP\cdot AQ\cdot \sin\angle A=\dfrac{1}{2}\cdot x\cdot 3y\cdot \sin\angle A;[/tex]

[tex]A_{ABC}=\dfrac{1}{2}\cdot AC\cdot AB\cdot \sin\angle A=\dfrac{1}{2}\cdot (x+3x)\cdot (3y+4y)\cdot \sin\angle A=\dfrac{1}{2}\cdot 4x\cdot 7y\cdot \sin\angleA[/tex]

Therefore

[tex]\dfrac{A_{APQ}}{A_{ABC}}=\dfrac{\frac{1}{2}\cdot x\cdot 3y\cdot \sin\angle A}{\frac{1}{2}\cdot 4x\cdot 7y\cdot \sin\angleA}=\dfrac{3}{28}.[/tex]

Now

[tex]\dfrac{A_{APQ}}{A_{ABP}}=\dfrac{\frac{1}{2}\cdot x\cdot 3y\cdot \sin\angle A}{\frac{1}{2}\cdot x\cdot (3y+4y)\cdot \sin\angle A}=\dfrac{3}{7}.[/tex]

Now after solving these two ratios we can find

[tex]A_{ABP}=\dfrac{7}{3}A_{APQ}\Rightarrow A_{PBQ}=A_{APB}-A_{APQ}=\dfrac{7}{3}A_{APQ}-A_{APQ}=\dfrac{4}{3}A_{APQ}[/tex]

[tex]A_{ABC}=\dfrac{28}{3}A_{APQ}\Rightarrow A_{PBC}=A_{ABC}-A_{APB}=\dfrac{28}{3}A_{APQ}-\dfrac{7}{3}A_{APQ}=7A_{APQ}.[/tex]

Therefore

[tex]\dfrac{A_{PBQ}}{A_{PBC}}=\dfrac{\frac{4}{3}A_{APQ}}{7A_{APQ}}=\dfrac{4}{21}.[/tex]

Hence, we applied the above equation so that we can get to know the ratios

Step-by-step explanation:

9 miles per day

8 days hiking

9m x 8d = 72 miles long

Answer:

2....6......10........14.......18

Step-by-step explanation:

Add 4 each time

Answer:

B

Step-by-step explanation:

In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane ( from dictionary)

Answer:

False

Step-by-step explanation:

Definition of Tangency : Tangent to a circle is a line that touches the circle at one point, which is known as Tangency.

At the point of Tangency, Tangent to a circle is always perpendicular to the radius.

We are supposed to find The point of tangency of line S to circle A is M

Considering the definition,

The lines S touches the circle at point J not at M

So,The point of tangency of line S to circle A is M is False

So, Option B is correct

Hence The point of tangency of line S to circle A is M is False

Answer:

False

Step-by-step explanation:

Hope it helps.

Answer:

1.2^2

Step-by-step explanation:

1 11/25=36/25

square rout of 36/25=1.2

Answer:

1 11/25 is the same as 36/25. Since 36 and 25 are 6² and 5² respectively the answer is (6 / 5)².

ANSWER:

The answer is -16.75  

First divide the division 3/-4 then start the addition and subtraction

Answer:

-67/4 or -16.75

Step-by-step explanation:

Simply plug all of that into the calc and you should get your answer.

Answer:

4th option.

Step-by-step explanation:

You pay $9 and $__ for a total of $16.

$9 + $__ = $16.

9+__=16

Answer: 183 m

Step-by-step explanation:

See the attached figure....

Find the distance BC. We know that in the right triangle ABC

Cos(60°) = BC/AB ----> adjacent side divided by the hypotenuse

Remember that

Cos (60°) = 1/2

substitute the values

1/2 = a / 500

a = 250 m

step 2

Find the distance AC

In the right triangle ABC

Sin (60°) = AC/AB----> opposite side divided by the hypotenuse

Remember that

Sin(60°) = √3/2

substitute the values

√3/2 = b/500

b = 250√3 = 433 m

step 3

Find the distance AC+CB

433 + 250 = 683 m

Subtract the distance AB from 683 m

683 - 500 = 183 m

Answer:

183 meters

Step-by-step explanation:

100% - Correct

Answer:

{2, 4}.

Step-by-step explanation:

A = {1, 2, 3, 4, 5} and B = {2, 4}.

A ∩ B?

This means intersection or what is in common

A ∩ B =  {2, 4}.

Answer:

32.13

Step-by-step explanation:

10% of 42=4.2

Mate gets 4.2

42-4.2=37.8

15% of 37.8=5.67

Mom gets 5.67

37.8-5.67=32.13

32.13

Answer:

31 and a half apples

Step-by-step explanation:

10% of 42 is 42 divided by 10 which is 4.2 apples

15% of 4.2 is 6.3

4.2apples+6.3apples is 10.5apples

So then you take away their apples from 42 apples which is 31.5 apples

which is technically 31 and a half apples.

I hope this helped you

Answer: y=-6x+26

Step-by-step explanation: We can find the slope of a line that is perpendicular to another line by taking the negated reciprocal of the slope of the original line. So our slope for the perpendicular line is: -6. Now we can put this in a equation to find the y-intercept. So the equation is y=-6x+26

Answer:

Step-by-step explanation:

Answer: y=26−6x

Answer:

C. 2/15

Step-by-step explanation:

So since 5 eggs weigh 2/3 of a pound, you have to divide 2/3 by 5 to find how much each egg weighs.

2/3/5 is the same as multiplying 2/3 by 1/5.

This gives you 2/15.

Answer:

56x + 126

Step-by-step explanation:

Step 1: Distribute

44x + 143 + 12x - 18

Step 2: Combine like terms

56x + 126

[tex]\text{Simplify the expression}\\\\11(4x+13)+12x-17\\\\\text{Use the distributive property}\\\\44x+143+12x-17\\\\\text{Combine like terms}\\\\\boxed{56x+126}[/tex]

Answer:

1060

Step-by-step explanation:

Given:

No. of boys = 870

No. of girls = 800

Probability that a boy chosen studies Spanish = [tex]\dfrac{2}{3}[/tex]

Probability that a girl chosen studies Spanish = [tex]\dfrac{3}{5}[/tex]

the number of boys in the school who study Spanish :

[tex]\dfrac{2}{3}\times 870=290\times 2=580[/tex]

the number of girls in the school who study Spanish :

[tex]\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480[/tex]

Therefore, total number of students who study Spanish would be :

480+580=1060

Answer:

x = 2/3 ± i√14/3

Step-by-step explanation:

Answer:

              [tex]x\in\left\{4-2\sqrt{10}\ ,\ \,4+2\sqrt{10}\,\right\}[/tex]

Step-by-step explanation:

[tex]x^2+13=8x+37\\\\x^2-8x-24=0\\\\a=1\,,\ \ b=-8\,,\ \ c=-24\\\\x_1=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot(-24)}}{2\cdot1}=\dfrac{8-\sqrt{64+96}}2=\dfrac{8-\sqrt{160}}2 =\\\\=\dfrac{8-4\sqrt{10}}2=\dfrac{2(4-2\sqrt{10})}2=4-2\sqrt{10} \\\\x_2=\dfrac{-(-8)-\sqrt{(-8)^2-4\cdot1\cdot(-24)}}{2\cdot1}=\dfrac{8+4\sqrt{10}}2=4+2\sqrt{10}[/tex]

The solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The given equation as:

x² - 8x + 13 = 37

Subtracting 37 from both sides, we get:

x² - 8x - 24 = 0

Now, we have the equation in standard form, so we can use the quadratic formula to find the solutions:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = -8, and c = -24.

Substitute these values into the quadratic formula, and we get:

x = (-(-8) ± √((-8)² - 4(1)(-24))) / 2(1)

x = (8 ± √(64 + 96)) / 2

x = (8 ± √160) / 2

x = (8 ± 4√10) / 2

Simplifying, we get:

x = 4 ± 2√10

Therefore, the solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

Learn more about quadratic function here:

brainly.com/question/14083225

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Answer:

2/3 or 0.666

Step-by-step explanation:

3x+2=4

3x=4-2

3x=2

x=2/3

x=0.666

Answer:

[tex]x=\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\left(3x+2\right)=4[/tex]

[tex]3x+2=4[/tex]

Subtract 2 from both sides:-

[tex]3x+2-2=4-2[/tex]

[tex]3x=2[/tex]

Divide both sides by 3:-

[tex]\frac{3x}{3}=\frac{2}{3}[/tex]

[tex]x=\frac{2}{3}[/tex]

OAmalOHopeO

Answer:

Melisa's height = 150 cm

Step-by-step explanation:

Initially, we are told there are 4 girls and their average height is 152 cm.

Now, the formula for this average is;

Average height = total sum of heights/number of girls

Thus;

152 = total sum of heights/4

We cross multiply to get;

Total sum of heights = 152 × 4

Total sum of 4 girls height = 608 cm

Now we are told that melissa joins them and the average height of the 5 of them is now 151.6.

Let melissa's height be x.

Thus;

Total height of 5 girls is now; (608 + x)

So, from the formula for average initially;

151.6 = (608 + x)/5

Cross multiply to get;

151.6 × 5 = (608 + x)

758 = 608 + x

Subtract 608 from both sides to get;

758 - 608 = x

x = 150 cm

Answer:

it's the 2nd answer.....

Answer:

(7×7×7×7×7)(7×7×7×7×7)(7×7×7×7×7)

Step-by-step explanation:

Properties of exponents state that in this case, the exponents multiply together. So, 5×3 is 15. Now it is [tex]7^{15}[/tex]

Answer:

The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.

Hope this helps!

Stay safe at home :)

(those of you doing edge hang in there!)

The y intercept of the problem is equal to 25+14.1/30*x.

The total cost is the sum of the fixed cost and the variable cost to make a product.

x is showing no. of bruchers

y is showing total cost.

Total cost for 35  bruchers=41.45

Total cost for 65 bruchers=55.55

The points are (35,41.45), (65,55.55)

The y intercept can be calculated as :

y-41.45=(55.55-41.45/65-35)*(x-35)

30y-14.1x=750

y=25+14.1/30*30

Hence the value of y intercept is 25+14.1/30*30.

Learn more about intercept at https://brainly.com/question/26233

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Answer:

29.76 milles

11.16 milles

44.64 milles

Step-by-step explanation:

Van haver de fer una excursió a una casa rural que està a 72 quilòmetres del seu poble.

El primer dia viatgen 2/3 de camí. Aquest dia, van viatjar:

2/3 * 72 = 48 quilòmetres

En el segon dia viatgen 1/4 de camí. Aquest dia, van viatjar:

1/4 * 72 = 18 quilòmetres

A el tercer dia arriben a la casa de camp. Aquest dia, van viatjar 72 quilòmetres.

Hem de convertir cada un d'ells en milles.

1 km = 0.62 milles

El primer dia:

48 km = 0.62 * 48 = 29.76 milles

El segon dia:

18 km = 0.62 * 18 = 11.16 milles

El tercer dia:

72 km = 0.62 * 72 = 44.64 milles

additive inverse of 19 /- 6 = 19 / 6

Answer: the y-intercept is (0,4)

Step-by-step explanation:

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

We can solve like so:

[tex]1-\frac{3}{8}-\frac{1}{3}=mushroomcaps\\\\\frac{24}{24} -\frac{9}{24}-\frac{8}{24} =mushroomcaps\\\\\frac{15}{24}-\frac{8}{24}=mushroomcaps\\\\\frac{7}{24}=mushroomcaps[/tex]

[tex]\frac{7}{24}[/tex] of the barbecued items are mushroom caps.

Answer:

E. [tex]x=\frac{7}{24}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} + \frac{1}{3} +x = 1\\[/tex]

[tex]\frac{3*3}{8*3} + \frac{1*8}{3*8} +x = 1\\\\\frac{9}{24} + \frac{8}{24} +x = 1\\\\\frac{17}{24} +x=1\\[/tex]

[tex]x=1-\frac{17}{24}= \frac{24}{24}-\frac{17}{24} =\frac{7}{24}\\ x=\frac{7}{24}[/tex]