3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.
Step-by-step explanation:
Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.
It means,
x+x+1+x+2=114
3x+3=114
3(x+1)=114
x+1=38
x=37
So, first side is 37 cm
Second side is 37+1=38 m
Third side is 37+2=39 m
Hence, this is the required solution.
is 34.223 greater than 34.232
Answer:
Yes
Step-by-step explanation:
Is [tex]34.223[/tex] greater than [tex]34.232[/tex]?
Let's compare these two decimals.
[tex]34.223[/tex] ? [tex]34.232[/tex]
It may look like [tex]34.232[/tex] is bigger but it actually isn't. The first thing you have to do is look at the last digit in the decimal.
In the first decimal([tex]34.223[/tex]), the last digit is 3. In the second decimal([tex]34.232[/tex]), the last digit is 2. 3 is bigger than 2 so the decimal that is greater is [tex]34.223[/tex].
Hope this helps!
Jose went to a local electronic store. He found a 45 inch television that cost $255. He asked the store manager if he could give him a discount. The manager agreed to deduct 1/4 off the price of the television. How much money did Jose pay for the television?
Answer:
he paid 168.75
Step-by-step explanation:
multiply 225 by .25 and you would get 56.25 and then subtrsct that from 225 and you would get your answer od 168.75
Answer:
191.25
Step-by-step explanation:
just look up 1/4 of 255 and you get 63.75. Now remove that from 255 and you get your answer.
Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 2370 dollars. How much money did she invest at each rate?
Answer:
Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=51000 (1)
0.04x+0.07y=2370 (2), where
x is the portion earning a simple interest rate of 4 percent per year
y is the portion earning a simple interest rate of 7 percent per year
First, you can isolate x in (1):
x=51000-y (3)
Now, you can replace (3) in (2) and solve for y:
0.04(51000-y)+0.07y=2370
2040-0.04y+0.07y=2370
0.03y=330
y=330/0.03
y=11000
Then, you can replace the value of y in (3) to find the value of x:
x=51000-11000
x=40000
According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
Find the distance between each pair of points. Round to the tenths place.
Answer:
12.0
Step-by-step explanation:
Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2} [/tex], to find the distance between points (2, 7) and (-6, -2)
Let,
[tex] (2, 7) = (x_1, y_1) [/tex]
[tex] (-6, -2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(-6 - 2)^2 + (-2 - 7)^2} [/tex]
[tex] d = \sqrt{(-8)^2 + (-9)^2} [/tex]
[tex] d = \sqrt{64 + 81} = \sqrt{145} = 12.0 units [/tex] (nearest tenth)
The sum of two number is 50. The second number is five times the first. Find the number
Answer:
x=25/3 & y=125/3
Step-by-step explanation:
Let first number be x
Second number be y
x+y=50
y=5x
=>x+5x=50
=>6x=50
=>x=50/6
=>x=25/3
Jen is investigating a quadratic function g(x). She writes four different forms of the function, as shown below. Select the form that reveals the maximum value of g(x) without having to be rewritten.
Answer:
A
Step-by-step explanation:
Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.
Describe the pattern that you see. In your description, include the shapes that create the pattern. You can also mention colors. What is the first term (how does the pattern start)? How does the pattern change with each term? What would the next term in the sequence (pattern) be?
Answer:
Picture 1 has 5 green squares. It is one square with a square coming out from each corner. Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 green squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 green squares.
Step-by-step explanation:
Picture one has 5 green squares. It is one square with a square coming out from each corner. Picture 2 adds an additional square extending out from each corner square, making a total of 9 squares. This pattern continues, adding 4 squares total each time. This means Picture 3 has 13 squares, Picture 4 has 17 squares, and Picture 5 will have 21 squares.
HELP asap pls
question in picture
Answer:
The low is -13 degrees Fahrenheit. The high is 109.4 or 109 2/5 degrees Fahrenheit.
Step-by-step explanation:
To get the low you plug -25 in for C(Celsius) and then you solve for F. First you can multiply both sides by nine. Second you need to distribute the 5, and this will give you 5F-160. Next add 160 to both sides, and now you should have, -65 = 5F. And finally you divide both sides by five to get a final answer of F = -13. To get the high follow these steps again, except this time plug in 43 for C.
what is the gcf of 12a²,15a³,18a5
Answer:
[tex]3a {}^{2} [/tex]
Solve: 9^(2x + 1) = 9^(3x – 2)
Answer:
x = 3Step-by-step explanation:
The same bases (9) needs the same exponents to be equal:
[tex]\big9^{2x + 1}=\big9^{3x-2}\quad\iff\quad 2x+1=3x-2\\\\2x+1=3x-2\\\\2x-3x=-2-1\\\\-x=-3\\\\x=3[/tex]
The computation of the indices show that the value of x in 9^(2x + 1) = 9^(3x – 2) is 3.
How to calculate the indices?From the information given, we are told to simply solve 9^(2x + 1) = 9^(3x – 2). In this case, the exponents given are equal which is 9.
Therefore, 2x + 1 = 3x - 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Therefore, the value of x is 3.
Learn more about indices on:
https://brainly.com/question/10339517
#SPJ2
19-4q+q-11 simply the experssion
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▹ Answer
8 - 3q
▹ Step-by-Step Explanation
19 - 4q + q - 11
Combine like terms in terms of q:
-4q + q = -3q
Combine like terms:
19 - 11 = 8
Final answer:
8 - 3q
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Sam is playing in a tree house 15 feet above sea level. Levi is swimming in a pool 7 feet below sea level. How far apart are the boys?
What is the smallest possible integer value of $x$ if $12\div(x+1)$ is an integer?
Answer:
The answer is -13.
Step-by-step explanation:
We get the smallest value of [tex]x[/tex] when [tex]x+1[/tex] is the most negative factor of 12, which is -12. Therefore,
[tex]x+1=-12\\x=\boxed{-13}[/tex]
Which type of map is this?
Answer:
goo
Step-by-step explanation:
Rita drove 792 miles in 11 hours.
At the same rate, how many miles would she drive in 7 hours?
0 miles
x 5 ?
Answer:
Step-by-step explanation:
Let's write an expression.
Let's say m is miles and h is hours.
[tex] 792m = 11h [/tex]
Simplify.
11 ÷ 11 = 1
792 ÷ 11 = 72
Let's rewrite our expression.
[tex] 72m = 1h [/tex]
Using this formula, you can solve anything! :)
12+-5= plz help would be great if soon
Answer:
7
Step-by-step explanation:
Basically when you add negative numbers, you subtract, if that makes sense.
Example:
If you have twelve apples, and then eat five of them, then you have seven left.
When converting between the mixed numbers and improper fractions, the ____always stays the same
Answer: Denominator ♥️
Step-by-step explanation:
the distance between the pair of points (3,5) and (11,11)
Formula: d = √(x2-x1)²+(y2-y1)²
d = √(11-3)²+(11-5)²
d = √8²+6²
d = √64+36
d = √100
d = 10
Best of Luck!
Solve the following expression for Y
3x + 4y = 12
Answer:
y=3
Step-by-step explanation:
Turn 15/4 Into a decimal show your work
Answer:
3[tex]\frac{3}{4}[/tex] / 3.75
Step-by-step explanation:
[tex]\frac{15}{4}[/tex]
calculate the value
3.75
Joan bought a soft drink for $3 and 9 candy bars. She spent a total of $21. How much did each candy bar costs?
Answer:
2$ per candy bar
Step-by-step explanation:
21 - 3 = 18
18/9 = 2
Hopefully this helps you :)
pls mark brainlest ;)
The measure of an angle is equal to the measure of its complement.
Answer:
Step-by-step explanation: just learn
Expand each of the following expressions
(b-2) (b+7)
Answer:
[tex] {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
By algebraic identity:
[tex](x + a)(x + b) = {x}^{2} + (a + b)x + ab \\ we \: have \\ (b - 2)(b + 7) \\ = {b}^{2} + ( - 2 + 7)b + ( - 2)7 \\ = {b}^{2} + 5b - 14[/tex]
Step-by-step explanation:
Hope it is helpful for you
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I need help pleaseeee you get 44 points if you answer my last question and be serious
I dont even know how to start answering that last question...
gift ond Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
Answer:
24
Step-by-step explanation:
please help me immediately for brainliest
A bus has 6 seats and there are 8 passengers.In how many ways can the bus be filled?
Answer:
The number of ways the bus can be filled is 28 ways
Step-by-step explanation:
The given parameters are;
The number of seats in the bus = 6
The number of passengers available = 8
The number of ways the bus can be filled involve the number of ways of selecting from the 8 passengers taking 6 at a time given as follows;
The combination of n items, taking n items, taking r at a time is [tex]_nC_r[/tex] which can be given as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - 1)}[/tex]
Therefore;
The number of ways the bus can be filled is therefore;
[tex]_8C_6 = \dfrac{8!}{6! \times (8 - 6)!}= \dfrac{8!}{6! \times 2!} = \dfrac{8 \times 7}{2 \times1} = 28 \ ways[/tex].
Reposted this Bc idk if ppl saw it
Answer:
Hey there!
4 2/3 can be written as 14/3
The ones that represent a rational number are the fourth and fifth options.
Let me know if this helps :)
Given f(x)
5x + 1
2 , solve for f-1(8).
1 27 points from 35 points.
Answer:
127 from 35
127 - 35
92
Step-by-step explanation: