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GREYUIT [131]
3 years ago
15

A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Whic

h system of equations can be used to find the number of pencils (x) and pens (y) he bought?
A.x + 1.5y = 7 x + y = 6
B.1.5x + y = 7 x = 6y
C.x + 2y = 7 6x = 1.5y
D.2x + y = 7 6x = 1.5y


The system of equations shown below is graphed on a coordinate grid:

3y + x = 4
2y − x = 6

Which statement is true about the coordinates of the point that is the solution to the system of equations? It is (−2, 2) and lies on both lines. 
It is (−5, 3) and lies on both lines. 
It is (−5, 3) and does not lie on either line. 
It is (−2, 2) and does not lie on either line.
Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0
Well, the first one, I have never worked with before so I'm sry but I can't help you with that one. 3y + x = 4 (x=1) 2y - x = 6 (x=8)
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Eleven of 20 students in Mr. Gonzalez ‘s science class are attending the field trip. What percent best represents the portion of
antoniya [11.8K]

Answer:

%55

Step-by-step explanation:

divide both values by 2, multiply by 10 to give you a percentage


3 0
3 years ago
Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?
stepladder [879]

Answer:

\displaystyle 64

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Rule [Variable Direct Substitution Exponential]:                                         \displaystyle \lim_{x \to c} x^n = c^n

Limit Property [Multiplied Constant]:                                                                     \displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle  \lim_{x \to 0} f(x) = 4

<u>Step 2: Solve</u>

  1. Rewrite [Limit Property - Multiplied Constant]:                                           \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4
  2. Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:       \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)
  3. Simplify:                                                                                                         \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0
2 years ago
Can you construct a triangle that has side lengths 2 yd, 9 yd, and 10 yd?
yan [13]

Yes


The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.


This happens for all possible couples in your case:


2+9=11>10


2+10=12>9


9+10=19>2

3 0
3 years ago
3a+2(4a-b)<br> please simplify this equation with processing
Alexeev081 [22]

\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}

3a+2(4a-b)=

3a+8a-2b=

\bf \textcolor{green}{ \underbrace{11a - 2b}}

<h2>xLasersx✨</h2>
8 0
2 years ago
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