MATHEMATICS HIGH SCHOOL

A banana bread recipe calls for 3/4 cup butter. One tablespoon equals 1/16 cup. How many tablespoons of butter are needed to make the banana bread?

Answers

Answer 1

Answer:

Answer:

Banana recipe will require 12 table spoons of butter.

Step-by-step explanation:

Banana bread recipe requires the butter = $(3)/(4)$ cups

Since $(1)/(6)$ cup = 1 table spoon

Therefore, 1 cup = $(1)/((1)/(16))$ = 16 table spoons

Therefore, $(3)/(4)$ cup of butter = $(3)/(4)* 16$

= 12 table spoons of butter

So Banana recipe will require 12 table spoons of butter.

Answer 2

Answer: 3/4 of a cup is the same as 12/16 of a cup. if one tablespoon is 1/16 of a cup, then 12 tablespoons of butter are required

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The equation for the circle below is x2 + y2 = 100. What is the length of thecircle's radius?

WILL GIVE BRAINLIESTHannah and Han are each trying to solve the equation x² – 8x + 26 = 0. They know that
x = -1 are i& - i, but they are not sure how to use this information to solve for x in their
equation.
Part 1- Here is Hannah's work:
x? - 8x + 26 = 0
X? – 8x = -26
Show Hannah how
to finish her work using completing the square and complex numbers.
Part 2- Han decides to solve the equation using the quadratic
formula. Here is the beginning of his
work
-b+V62-4ac
-(-8)+7-8)2–401|(26)
Finish using the quadratic formula. Simplify the final answer as much as possible.

Answers

The solutions are:-

$x=4+√(10i)\n\nx=4-√(10i)$

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

$x^2- 8x + 26 = 0\n\nx^2-8x=-26\n\n(x-4)^2=-10\n\n$

$(x-4)=$ ± $√(-10)$

$x=√(10)i+4\n\nx=-√(10)i+4$

So,

$x=(-b+-√(b^2-4ac))/(2a)\n\nx=(8+-√((-8)^2-4(1)(26)))/(2(1))\n\nx=(8+-√((-8)^2-4(1)(26)))/(2(1))\n\nx=(8+-√(64-104))/(2)\n\nx=(8+-2√(10i))/(2)\n\nx=(2(4+-√(10i)))/(2)\n\nx=4+√(10i)\n\nx=4-√(10i)$

Hence, the solutions are:-

$x=4+√(10i)\n\nx=4-√(10i)$

To know more about the equation

brainly.com/question/12788590

#SPJ2

Part one:

$x^2-8x=-26$

Rewrite in the form $(x+a)^(2) =b$

$\left(x-4\right)^2=-10$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=√(a),\:-√(a)$

Solve $x-4=√(-10) : x=√(10) i+4$

Solve $x-4=√(-10) : x=-√(10) i+4$

$x=√(10)i+4,\:x=-√(10)i+4$

Part two:

$x=(-\left(-8\right)\pm √(\left(-8\right)^2-4\cdot \:1\cdot \:26))/(2\cdot \:1)$

Simplify $√(\left(-8\right)^2-4\cdot \:1\cdot \:26)}: 2√(10) i$

$=(-\left(-8\right)\pm \:2√(10)i)/(2\cdot \:1)$

Separate solutions

$x_1=(-\left(-8\right)+2√(10)i)/(2\cdot \:1),\:x_2=(-\left(-8\right)-2√(10)i)/(2\cdot \:1)$

$(-(-8)+2√(10)i )/(2*1) :4+√(10)i$

$(-(-8)+2√(10)i )/(2*1) :4-√(10)i$

$x=4+√(10)i,\:x=4-√(10)i$

Compute the amount of interest earned in the following simple interest problem.A deposit of $1,600 at 6% for 180 days:

Answers

with 6% is 1,696. for 180 days, $305,280

I=PRT
I=interest
P=principal
R=rate in decimal
T=time in yaers

365 days per year
t=180/365

given
P=1600
R=6%=0.06
T=180/365

I=1600*0.06*180/365
I=96*180/365
I=47.342

rounds to
Interst=$47.34

A and B are two events. P(A)=0.5 , P(B)=0.4 and P(A and B)=0.3 . What is the value of P(A or B) ?

Answers

Answer: The required value of $P(A\cup B).$ is 0.6.

Step-by-step explanation: Given that A and B are two events such that

$P(A)=0.5,~~P(B)=0.4,~~P(A\cap B)=0.3.$

We are to find the value of $P(A\cup B).$

From the laws of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.5+0.4-0.3=0.9-0.3=0.6.$

Thus, the required value of $P(A\cup B).$ is 0.6.

Answer: 0.6

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.4 - 0.3

P(A or B) = 0.9 - 0.3

P(A or B) = 0.6

Maurice works at the circus and needs to clean the water tank for the dolphins. Tank A measuring 50 cm x 70 cm x 70 cm was 2 7 filled with water. Tank B having a base area of 5000 cm² was empty. Water from Tank A was poured into Tank B. What was the height of water in Tank B?

Answers

Answer:

14 cm

Step-by-step explanation:

1. First, we need to find the total volume of Tank A. Tank A is a rectangular prism, and the volume of a rectangular prism is given by the formula length x width x height. In this case, it's...

50 cm x 70 cm x 70 cm = 245,000 cubic cm

2. Tank A was 2/7 full, so we need to find out how much water was in Tank A.

To find this, we multiply the total volume by the fraction that's full:

245,000 cm³ * 2/7 = 70,000 cm³.

3. This 70,000 cm³ of water was then poured into Tank B. We want to find out how high the water is in Tank B, so we need to divide the volume of the water by the base area of Tank B.

4. The base area of Tank B is given as 5000 cm². So, the height of the water in Tank B is 70,000 cm³ / 5000 cm² = 14 cm.

So, the height of the water in Tank B is 14 cm.

Hope this helps! :)

Kathleen bought 8.3 ounces of walnuts. The next day, she used 1.7 ounces of them in a recipe. How many ounces does she have left?

Answers

Answer:

6.6 ounces left

Step-by-step explanation:

Take the amount she had and subtract the amount she used

8.3-1.7 =6.6

Answer:

She has 6.6 ounces left.

Isosceles triangle with one angle of 100. What would most likely be the other angles?

Answers

Isoceles triangles have one pair of congruent base angles opposite their congruent sides. Also, the angles in a triangle add up to 180°. Therefore, we can set up this equation:

100 + x + x = 180

(we know it's not the 100° angle that has a congruent match because that would cause the total angle measure to go above 180°)

100 + 2x = 180
Subtract 100 from each side.
2x = 80
Divide by 2.
x = 40°

Both of the other angles would be 40°.

There's no "most likely" about it.

==> Every isosceles triangle has two equal angles.
==> In this one, the 100-degrees angle is either one of the two equal angles,
or else it isn't.
==> If the 100 is one of the two equal angles, then the other one is also 100,
and the sum of the angles in this triangle ... even without the third one ...
is already more than 180 degrees.
==> So the 100 CAN'T be one of the equal angles. It must be the third angle.

-- Now there are 80 degrees left over to split between the other two angles,
which ARE equal.

-- The other two angles, which are not 100 degrees, MUST be 40 degrees each.

Not probably, not maybe, not could-be, and not "most likely". They must be.

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