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elena-14-01-66 [18.8K]
3 years ago
8

Abigail is studying for the school spelling bee. She already knows 154 words from the vocabulary list. Each day, she learns 31 a

dditional words from the vocabulary list. Which equation can be used to determine the total number of words Abigail knows from the vocabulary list, y, over x days?
A. y = 31(x + 154)
B. y = 154x + 31
C. y = 31x + 154
D. y = 31x - 154
Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

The correct answer is option C. y = 31x + 154.

Step-by-step explanation:

Since x represents the days and she learns 31 words per day you would need to multiply 31 and the number of days (x).

This would look like 31x.

We also know she already knew 154 from the beginning which means we just have to add 154.

This leaves us with the equation y=31x + 154.

Hope this helps!

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3a
Jet001 [13]

Answer:

Option D is correct.

VS = 20 units.

Step-by-step explanation:

The complete question is contained in the attached image to this answer.

From the image attached and the additional information about the triangles, it is evident that that triangle VSW is similar to triangle QSR.

Hence, we can write the ratio as

(VS/QS) = (VW/QR)

VS = 2a

QS = 2 × VS = 2 × 2a = 4a

VW = 2a - 2

QR = 3a + 6

(2a)/(4a) = (2a - 2)/(3a + 6)

Cross multiplying,

2a (3a + 6) = 4a (2a - 2)

3a + 6 = 2 (2a - 2)

3a + 6 = 4a - 4

4a - 3a = 6 + 4

a = 10

VS = 2a = 20 units.

Hope this Helps!!!

4 0
3 years ago
I will give you brainiest what is 3+3 go fast and what is 4+4
lina2011 [118]

Answer:

3+3=6 , 4+4=8

Step-by-step explanation: Brainliest pls

5 0
3 years ago
Find a quadratic equation with roots -1, 4i and -1 - 4i
vazorg [7]
\bf \textit{difference of squares}
\\\\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }i^2=-1\\\\
-------------------------------\\\\
\begin{cases}
x=-1+4i\implies &x+1-4i=0\\
x=-1-4i\implies &x+1+4i=0
\end{cases}
\\\\\\
(x+1-4i)(x+1+4i)=\stackrel{y}{0}
\\\\\\\
[(x+1)~~-~~(4i)][(x+1)~~+~~(4i)]=y
\\\\\\\
[(x+1)^2~~-~~(4i)^2]=0\implies (x^2+2x+1)~-~(4^2i^2)=y
\\\\\\
(x^2+2x+1)~-~(16\cdot -1)=y\implies (x^2+2x+1)~-~(-16)=y
\\\\\\
x^2+2x+1~~+16=y\implies x^2+2x+17=y
3 0
3 years ago
Find the value of x that makes m || n
ch4aika [34]

Answer:

x=133

Step-by-step explanation:

Given: m║n

This means that 147 and x+14 are <em>alternate exterior angles</em>. This also means that they are equivalent. We can use this information to set up an equation:

x+14=147

Subtract 14 from both sides to isolate x

x=133

8 0
2 years ago
Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represent
arlik [135]

Answer:

sparky 4 years older than cookie

Step-by-step explanation:

s=c+4

since there nothing to add or subtract. you are just gonna take that 4 and since there is a plus sign you are gonna say older than.

hope this helps

5 0
3 years ago
Read 2 more answers
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