1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kazeer [188]
3 years ago
8

A recipe calls for 2 teaspoons

Mathematics
1 answer:
amid [387]3 years ago
8 0
6 teaspoons of sugar will be needed for 9 cups of flour
You might be interested in
Which of the following is an extraneous solution of sqrt 4x + 41 = x+5
stiv31 [10]

Answer:

x=-8

Step-by-step explanation:

\sqrt{4x+41}=x+5

on squaring both sides

4x+41=(x+5)^2\\\\4x+41=x^2+10x+25\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x-2)(x+8)=0

either x-2=0  or  x+8=0

either x=2 or x=-8

Putting x=2 in original equation, we get

\sqrt{4\times 2+41}=2+5

7=7 hence, it is not an extraneous solution

Putting x=-8 in original equation

\sqrt{4\times (-8)+41}=-8+5

i.e. 3=-3

Hence, x=-8 is an extraneous solution (since it doesn't satisfy the original equation)

3 0
3 years ago
Read 2 more answers
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
HELP NOWW!!!<br> PLSS I NEED HELP RIGHT NOWWW!!<br> PLS HELP
NemiM [27]

Answer:

x = 55

Step-by-step explanation:

Draw a line parallel to the top and bottom parallel lines so this new line goes through the pointed end of x.

Draw another line parallel to the top and bottom lines through the pointy end of 45.

The bottom angle of the line through 45 is 15 degrees (alternate interior angles.

The top angle is 45 - 15 = 30

The bottom angle of the line going to x is 150 degrees. It and the 30 degree angle make 180. 30 + 150 = 180

One final observation The top angle of made by the line going through x is 180 - 25 = 155

What you have now is

155 + 150 + x = 360

305 + x = 360

x = 360 - 305

x = 55

6 0
3 years ago
Read 2 more answers
Help khan academy!!!!
Anastaziya [24]

Answer:

I have khan academy

what grade is this

and subject

6 0
3 years ago
Read 2 more answers
Solve for 7 and 8 please
Masteriza [31]
To divide exponents they have to have the same base and then you just subtract the bottom exponent from the top exponent.

7) k × 3^9
----------- =
3^5

k × 3^9-5 =
k × 3^4 =
k × 81 = 81k

8) x^4 × y^10 × 2^11
------------------------ =
y^8 × 2^7

x^4 × y^10-8 × 2^11-7 =
x^4 × y^2 × 2^4 =
x^4 × y^2 × 16=
16x^4y^2
8 0
3 years ago
Other questions:
  • One week, Kerry travels 125 miles and uses 5 gallons of gasoline. The next week, she travels 175 miles and uses 7 gallons of gas
    7·1 answer
  • What values of x make the expression (x+4)(x-6) negative
    11·1 answer
  • What is the answer to to the question -3 &gt; X/-7
    10·1 answer
  • A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of
    14·1 answer
  • Find the slope and y-intercept of the line.<br> y=7/4x-10<br><br> Answer <br> -10;7/4
    7·1 answer
  • Consider the figure shown below. Find the value of BL
    9·1 answer
  • What is the rate of change for this graph ​
    15·1 answer
  • What is 2×+y=9 in the y=mx+b form?
    13·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B9%7D%20%20%3D%20%20%5Cfrac%7B%3F%7D%7B3%7D%20" id="TexFormula1" title=" \f
    7·2 answers
  • AOT's new opening is better than every other one agree or disagree?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!