Answer:
x = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4/(x + 1) = 3/(x + 2)
Step 2: Solve for x
Cross multiply: 4(x + 2) = 3(x + 1)Distribute: 4x + 8 = 3x + 3Subtract 3x on both sides: x + 8 = 3Subtract 8 on both sides: x = -5Answer:
to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:
4(x+2)=3(x+1) (set them = and then use the distributive property)
4x+8 = 3x+3 (subtract 3x from both sides)
x +8 = 3 (subtract 8 from both sides)
x= -5 (the answer)
Planet X is 1/2 of a light-year away from Earth. Planet Y is 3/10 of a light-year away from Earth. How much farther away is Planet X?
Answer:
1/2= 5/10
5/10 - 3/10 = 2/10 or 1/5
so planet X is 1/5 of a light-year closer
Step-by-step explanation:
Answer:
5/10
Step-by-step explanation:
Simplified
Enter the common ratio for this geometric sequence:
8,4,2,....
Give your answer in its simplest form.
Answer:
/2 each time
Step-by-step explanation:
8,4,2
8/2=4
4/2=2
etc
Which shows the equation below written in the form ax2 + bx + c = 0? 2x2 - 3 = -6x - 2
A. 2x2 + 6x - 5 = 0
B. 2x2 - 6x - 1 = 0
C. 2x2 + 6x - 1 = 0
D. 2x2 - 6x - 5 = 0
Answer:
C. 2x² + 6x - 1 = 0
Step-by-step explanation:
2x² - 3 = -6x - 2
2x² - 3 + 6x = -6x + 6x - 2
2x² - 3 + 6x = -2
2x² - 3 + 6x + 2 = -2 + 2
2x² + 6x - 1 = 0
Hope that helps.
I WILL GIVE BRAINLIEST! (Function Composition Application)
Answer:
N(T(t)) = 24(8t + 3)² - 112(8t + 3) + 95 (this is can be the answer for the 1st cloumn since your teacher said "You do not need to simplify your answer)
N(T(5)) = 24(8(5) + 3)² - 112(8(5) + 3) + 95
N(T(t)) = 24(43)² - 112(43) + 95
N(T(t)) = 39 655
answe for 2nd coloumn
(5, 39655)
answer for 3rd coloumn
5 hours
answer for 4th col is
39,655 bacteria
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Help please due in an 1 hour!!
Answer:
275
Step-by-step explanation:
1375-550/5-2
Answer:
275 per minute
Step-by-step explanation:
550/2=275
1375/5=275
2200/8=275
3025/11=275
therefore it is 275 ft. per minute
Carlos has a $5 bill. If he buys an eggplant, how much change will he receive?
A 2-column table with 4 rows titled Cost of Food at the Store. Column 1 has entries bag of apples, one eggplant, a bag of oranges, a bunch of broccoli. Column 2 has entries 2 dollars and 38 cents, 89 cents, 1 dollar and 75 cents, 1 dollar and 7 cents.
The following shows how Carlos can solve this problem. The renaming has been done for you. Find the difference.
5 dollars minus 89 cents
Carlos will receive $___
in change?
Answer:
$4.11
Step-by-step explanation:
i think
HELP ME, PLEASE. I REALLY NEED IT
Find x:
[tex]S=\frac{1}{sin2x}+\frac{1}{sin4x}+\frac{1}{sin8x}+...+\frac{1}{sin2^{n}x }[/tex]
Answer:
cotx - cot2ⁿxStep-by-step explanation:
Note: finding the sum not xFirst rewrite the first term as:
1/sin2x = sinx / (sinxsin2x) = sin(2x-x) / (sinxsin2x) =(sin2xcosx - cosxsinx) / (sinxsin2x) = (sin2xcosx)/(sinxsin2x) - (cos2xsinx)/(sinxsin2x) = cosx/sinx - cos2x/sin2x = cotx - cot2xNow the sum is:
S = cotx - cot2x + cot2x - cot4x +... + cot2ⁿ⁻²x - cot2ⁿx =cotx - cot2ⁿxA flagpole that is 28 feet tall casts a 15-foot shadow. At the same time, a nearby tree casts a 21 foot shadow. Find the height of the tree.
Round to the nearest tenth.
Answer:
7.5 ft tall
Step-by-step explanation:
We can find the height of the tree if you provide the actual length of the trees shadow.
Not really sure what a "toilet for a shadow" means.
Example: If the tree cast a shadow that was 4 feet long we would use a ratio:
Height/shadow = Height/Shadow
28/15 = x/4 cross multiply
15x = 4(28)
x = 4(28)/15 ≅ 7.47 ft
Rounding I would call the tree 7.5 ft tall
Hope this helps.
Answer:
39.2 feet
Step-by-step explanation:
In case of flagpole:
[tex] tan \theta = \frac {28}{15}..... (1)[/tex]
Since, a nearby tree casts a 21 foot shadow at the same time. So the angle formed will be equal.
Let the height of the tree be x feet.
Therefore,
[tex] tan \theta = \frac {x}{21}.....(2)[/tex]
From equations (1) & (2)
[tex] \frac {28}{15} = \frac {x}{21}.....(2)\\\\
x = \frac{28\times {21} }{{15} }\\\\
x = \frac{588}{{15} }\\\\
x = 39.2 \\\\
[/tex]
Karen purchased a prepaid phone card for $15. Long-distance calls cost 19 cents a minute using this card. Karen used her card only once to make a long-distance call. If the remaining credit on her card is $12.91, how many minutes did her call last?
Answer:
I am pretty sure the answer is 11 minutes and the cost was $2.09
Step-by-step explanation:
Ihope this helps you:)
Step-by-step explanation:
Ok so we start with $15 now the remaining amount is $12.91, so let's substract
15.00 - 12.91 = 2.09
Alright now I must work with this number, since every minute used on the call is 19 cents, i must divide 2.09 to see how many 19 cents fit into this number
2.09 / 0.19 = 11
So she lasted talking or in this call 11 minutes....
I hope this helps!
Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz
Answer:
.16
Step-by-step explanation:
All you do is double each number by 4.
Answer:
1.6 cups of sugar
Step-by-step explanation:
1 batch=0.4 cups
So if you want 4 batches, you would have to quadruple the amount of sugar
0.4x4=1.6
Winter Temperatures
One winter day, the temperature in Houston is 8° Celsius. Find the
temperatures in these other cities. Explain or show your reasoning.
1. In Orlando, it is 10° warmer than it is in Houston.
2. In Salt Lake City, it is 8° colder than it is in Houston.
3. In Minneapolis, it is 20° colder than it is in Houston
Answer:18 , for the first one
Step-by-step explanation: because 10+8= 18
Find the equation in standard form if the solutions are x={3,-7}
Answer:
x = -4
Step-by-step explanation:
x = 3 - 7
x = - (7 - 3)
x = -4
What is the answer to X ≥ 5
Answer:
X [tex]\geq[/tex] 5 = [5,∞)
This is the number line:
PLEASE ANSWER FAST:
Zoey and her children went into a grocery store where they sell apples for $2 each and bananas for $0.50 each. Zoey has $8 to spend and must buy a minimum of 7 apples and bananas altogether. If x represents the number of apples purchased and y represents the number of bananas purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
(2,7)
Step-by-step explanation:
Variable Definitions:
x=
x=
\,\,\text{the number of apples}
the number of apples
y=
y=
\,\,\text{the number of bananas}
the number of bananas
\text{\textquotedblleft a minimum of 7 items"}\rightarrow \text{7 or more items}
“a minimum of 7 items"→7 or more items
Use a \ge≥ symbol
Therefore the total number of apples and bananas, x+yx+y, must be greater than or equal to 7:7:
x+y\ge 7
x+y≥7
\text{\textquotedblleft \$8 to spend"}\rightarrow \text{can spend \$8 or less}
“$8 to spend"→can spend $8 or less
Use a \le≤ symbol
One apple costs $2, so xx apples cost 2x.2x. One banana costs $0.50, so yy bananas cost 0.50y.0.50y. The total 2x+0.50y2x+0.50y must be less than or equal to \$8:$8:
2x+0.50y\le 8
2x+0.50y≤8
\text{Solve each inequality for }y\text{:}
Solve each inequality for y:
\begin{aligned}x+y\ge 7\hspace{30px}& 2x+0.50y\le 8 \\[0.8em] y\ge 7-x \hspace{30px}& 0.50y\le 8-2x \\[0.8em] \hspace{30px}& y\le \frac{8-2x}{0.50} \\[0.8em] & y\le 16-4x\end{aligned}
x+y≥7
y≥7−x
2x+0.50y≤8
0.50y≤8−2x
y≤
0.50
8−2x
y≤16−4x
Graph y\ge 7-xy≥7−x by shading up and graph y\le 16-4xy≤16−4x by shading down:
0
the number of apples
the number of bananas
x
y
0
the number of apples
the number of bananas
(2, 7)
Since the point (2, 7(2,7) is inside the double shaded region, one possible solution to the system of inequalities would be:
Zoey could buy 2 apples and 7 bananas.
Which of the following is a fifth degree trinomial with a quadratic term and a negative leading
coefficient?
I need help with 11.
Answer:
Step-by-step explanation:
last one
Find the unit rate
180 miles in 4 hours =
miles per hour
Answer:
= 45 miles per hour
Step-by-step explanation:
First, we want a unit rate where 1 is in the denominator.
So we divide,
180 miles/ 4 hours both ÷ by 4
= 45 miles/ 1 hour
= 45 miles/ hour
= 45 miles per hour
Which of these expressions is equivalent to 6x – 10x + 20?
2(3x + 5)
4(5 - x)
4(x - 5)
o
16x
Answer:
4(5-x)
Step-by-step explanation:
6x-10x+20 4(5-x)
-4x+20 20-4x
and those two are both equivalent
(Sigma)20 4(8/9)^n-1=?
1
Convert to a simplified fraction.
20 amgiS ⋅ 9n / 2^2+3n − 9^n
Move 20 to the left of Sigma.
20 Sigma
In a trivia game your team has -6 points. The other team has 15 points. What is the difference in points between the two teams?
Answer:
21 points
Step-by-step explanation:
The difference in points between the two teams is 15-(-6) = 21 points.
Hope this helped!
Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.
Answer:
The equation of a line:
x = 3The graph of the line is attached below.
Step-by-step explanation:
Given the points
(3, -4)(3, -1)Finding the slope between (3,-4) and (3,-1)
(x₁, y₁) = (3,-4)
(x₂, y₂) = (3, -1)
Using the slope formula
m = y₂-y₁ / x₂-x₁
= -1-(-4)) / 3 - 3
= -1 + 4 / 0
m = ∞
The slope of the line is undefined, then, by definition, the line would be a vertical line.
As the line that passes through the points (3,-4) and (3,-1)
For a vertical line, the value of x is the same for each and every value of y.Thus, the equation of a line:
x = 3The graph of the line is attached below.
What is -4 1/2 as a decimal?
Answer: -4.5
Step-by-step explanation:
Help it's timed! I give Brainliest
Answer:
2nd option
Step-by-step explanation:
13. Puan Zakiah bought a house at price RM380 000 by cash. After 5 years, she sold the house at price RM620 000. The total charges involved in sales and purchase agreement
was RM42 000. Calculate the return on investment of Puan Zakiah.
A 49.5%
C 56.9%
B 52.1%
D 74.2%
Find the value of x in the isosceles triangle shown below.
Choose 1 answer
A. x = 3
B. x = square root of 26
C. x = 6
D. x = square root of 52
Answer:
x=6
Step-by-step explanation:
Rebecca is researching cruises in order to plan a vacation She records the length and total cost of different cruises in a table
Answer:
is there anymore to this problem
A small frog is
inch long. A larger frog is 4 = times as long. How long is the larger frog?
PLS ANSWERS
the frog will be 4 inches long
Simplify
20
What the answer?
Answer:
2√5
Step-by-step explanation:
√20
√4 ×√5
2√5
Follow Me Please
Answer:
2√5
Step-by-step explanation:
√20=√2⋅2⋅5. =√22⋅5. =2√5.
Need a quick answer please
Step-by-step explanation:
S is equal to Q
Q= 48.5
there are two angels (S,Q). They equal 48.5
so 48.5x2= 97
all angels together (QRSP) equals 360
you can take the 97 and subtract it from the 360 =263
divide 263 to get the angels for P and R
S= 48.5
Q=48.5
R=131.5
P=131.5