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erastova [34]
3 years ago
6

Annie is 3years older than james use j to represent james age

Mathematics
2 answers:
zmey [24]3 years ago
7 0
J-3=james age..

I hope this helps!
Anni [7]3 years ago
6 0
3 - A = j
or
 3 - (Annie's Age) = j
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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
Oksanka [162]

Answer:

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup 33\dfrac{1}{3} lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x  --  100%

0.5  --  1.5%

Write a proportion:

\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}

Cross multiply:

1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs

Ella should add 32\dfrac{5}{6} lbs of water.

Total weight of syrup

32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs

3 0
2 years ago
Match each expression with an equivalent expression.
jolli1 [7]

1=6x-4x

2= 6x-4

3=6-4x

4=6x-4y

6 0
3 years ago
Do the following lengths form a right triangle?​
Dmitry_Shevchenko [17]

Answer:

yes, this forms a right angle

5 0
2 years ago
The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent
Rzqust [24]

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

8 0
1 year ago
Calculus AB
wariber [46]
Assuming you mean
\lim_{x \to 4} \frac{\sqrt{x+5}-3}{4-x}

that means as x approaches 4

if we sub 0 for x we get
0/0
and intermitent form
use l'hopital's rule

so
take the derivitive of the top and bottom seperatly
l'hopitals rule is something like
if \lim_{x \to n} \frac{f(x)}{g(x)} results in 0/0 or -∞/∞ or∞/∞ then keep doing it until f(n)/g(n) gives a form that isn't intermitent

so

take derivitive of top and bottom
\dfrac{\frac{1}{2\sqrt{x+5}}}{-1}
now, if we subsitute 4 for x we get
\dfrac{\frac{1}{2\sqrt{4+5}}}{-1}=

\dfrac{\frac{1}{2\sqrt{9}}}{-1}=

\dfrac{\frac{1}{2(3)}}{-1}=

\dfrac{\frac{1}{6}}{-1}=

\dfrac{1}{-6}=\dfrac{-1}{6}
8 0
2 years ago
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