Answer:
[tex](x + 4)(x + 5)[/tex]
[tex]x \times x + 5x + 4x + 4 \times 5[/tex]
[tex]x {}^{2} + 5x + 4x + 20[/tex]
[tex]x {}^{2} + 9x + 20[/tex]
The standard form of the expression (x+4)(x+5) is x²+9x+20.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (x+4)(x+5)
x is the variable in the given expression.
We have to multiply and simplify the expression.
Let split the expression as below.
x(x+5)+4(x+5)
Apply the distributive property
x²+5x+4x+20
Combine the like terms
x²+9x+20
x²+9x+20 is the standard form of the expression (x+4)(x+5)
Hence, the standard form of the expression (x+4)(x+5) is x²+9x+20.
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What is the area of this figure?
Enter your answer in the box. 18m 18m 8m 16m
Answer:
The answer is 41,472
Step-by-step explanation:
We know, that when you find the area of a quadrilateral(4 sided figure) we multiply all of the sides together.
An easy way to simplify fractions
The Bandits baseball team played 75 games and won 55 of them. What percent of the games did they lose? (Round your answer to the nearest hundreth - 2 decimal places.)
Answer:
26.6%
Step-by-step explanation:
total = 75 games
number of games won = 55
number of games lost = 75 - 55 = 20
75 — 100%
20 — x%
x = 20/75 * 100 = 26.6%
Answer:73.33%
Step-by-step explanation: If you do 55/75 you will get 0.73 repeating and you would move the decimal place 2 places to the right.
There are 15 ice cream flavors and 3 different cone options. How many different 2 scoop cones can you make? (order doesn't matter and flavors can be repeated ie; chocolate on chocolate counts)
There are 675 different combinations.
How many combinations are there?The number of combinations is given by the product between the numbers of options.
For the first scoop, we have 15 possible options.For the second scoop, we also have 15 possible options.For the cone, we have 3 options.So the total number of different combinations is just given by:
C = 15*15*3 = 675
There are 675 different combinations.
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Find the value of xxx in the isosceles triangle shown below.
Answer:
X = 10
Step-by-step explanation:
if we say 1/2 base = a
a² = 13² - 12²
a² = 25
a = √25
a = 5
if 1/2 base = 5 then x = a × 2
hence X = 5 × 2 = 10
please help me to find the easy math problem
Answer:
a. = 30
c. = 29
Step-by-step explanation:
Next term in the sequence 6 9 15 24
Mikki created a painting with an area of 32 square feet and a length of 4 feet. They create a second painting with an area of 24 square feet. It has the same width as the first painting. what is the length of the second painting?
Answer:
3 feet
Step-by-step explanation:
To begin, find the width of the first painting by dividing 32 by 4. You get 8 feet as the width. Since the second painting has a width of 8, divide 24 by 8 to get the length (area of a rectangle is length times width). You get that the length of the second painting is 3 feet.
Hopefully this helps- let me know if you have any questions!
(-15) ÷ (-1.25) ● 4 ½ - 120 HELP
Answer: I believe the answer you're looking for is -66.
Step-by-step explanation:
(-15) / (-1.25) = 12.
12 x 4 1/2 = 54
54 - 120 = -66.
Hope this helps!
Answer:
( -66 )Step-by-step explanation:
[tex]( - 15) \div ( - 1.25) \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ (- 15)}{( - 1.25)} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{( - 15) \times 100}{( - 1.25) \times 100} \: . \: 4 \frac{1}{2} - 120 \\ = \frac{ - 1500}{ - 125} \: . \: 4 \frac{1}{2} - 120 \\ = 12 \: . \: \frac{9}{2} - 120 \\ = 6 \: . \: 9 - 120 \\ = 54 - 120 \\ = ( - 66) \\ [/tex]
If the probability is 1/10 that someone in a group of people has red hair, how many people in a group of 50 will likely have a hair color other than red?
Answer:
5 people
Step-by-step explanation:
1/10 meaning for every 10 people there will be 1 person with red hair.
50 people is 10×5=50
also do it to the 1: 1×5=5
then we get a ratio of 5/50
5/50 reduced is still 1/10
3(4+2)=30
pls help me
Answer:
Isn't it 18?
Step-by-step explanation:
Because you need to add 4 and 2 then multiply it with 3?
In a class of 30 children there are g , girls what fraction of the class are girls
Can you guys help me with this?
Answer:
F
Step-by-step explanation:
75.00-67.50 is 7.5
8-6 is 2
7.5/2 is 3.75
PLEASE HELP!!
solve for z
12 = 15 ( z - 1/5)
Answer:
Z=1
Step-by-step explanation:
please mark me as brainlest
Answer:
z = 1
Step-by-step explanation:
Given :-
12 = 15(z - 1/5)
To Find :
z
Solving :-
12 = 15(z - 1/5)
12 = 15z - 3
15z = 15
Solution :-
z = 1
BRAINLEST!!! Work out 1/2 + 2/9 + 1/6
25 points! Will mark brainlest if option is avaliable
Answer: 8/9
Step-by-step explanation:
First, we can find a common denomiator.
The least common multiple of 2, 9, and 6 is 18.
Therefore, the lcd is 18.
1/2 = 1/2 * (9/9) = 9/18
2/9 = 2/9 * (2/2) = 4/18
1/6 = 1/6 * (3/3) = 3/18
Therefore, 1/2 + 2/9 + 1/6 = 9/18 + 4/18 + 3/18.
We can add the numerators together.
= 16/18
Divide the nuumerator and denominator by 2:
= 8/9
Sara saved $16,000 for a new car that costs $10,500, plus $1200 each year for insurance. If Sara buys the car, then what would be the maximum number of years, x, she could pay insurance with her current savings? 3 years 3 years 4 years 4 years 5 years 5 years 6 years 6 years
Answer:
4 years
Step-by-step explanation:
Sara saved $16,000 for a new car that costs $10,500, plus $1200 each year for insurance.
Let the number of years she can pay for insurance be written as: x
$10,500 + $1200 × x = $16,000
$1200 × x = $16,000 - $10,500
x = $5,500/1200
x = 4.5833333333 years
Since the number of years is in decimal, we would pick the whole number there as the maximum number of years.
Therefore, the maximum number of years, x, she could pay insurance with her current savings is 4 years.
A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Determine the mean and standard deviation of this data.
Answer:
i dont understand either
Step-by-step explanation:
A normally distributed set of data has been generated where 50% of the data lies below 97 and 70% lies below 104. Then, mean of the data is equal to 97 and standard deviation is equal to 13.358.
What is normal distribution?Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Given that 50% of the data lies below 97, implies that median of the data is equal to 97. In a normal distribution, mean = median = mode, therefore, mean = 97.
Given the mean and value at 70th percentile, we can find the standard deviation.
Using the z score - percentile table, we find that the z score corresponding to the given percentile.
z score corresponding to 70th percentile = 0.524
[tex]0.524 = \frac{x - mean}{standard\ deviation}\\ \\0.524 = \frac{104 - 97}{standard\ deviation} \\\\standard\ deviation = \frac{7}{0.524} = 13.359[/tex]
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A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. A circle has a radius of 15 feet. A larger circle goes around the smaller circle that is 3 feet wide. What is the circumference of the outer edge of the path around the pool? Use 3. 14 for Pi. 56. 52 ft 94. 20 ft 113. 04 ft 114. 04 ft.
The circumference of the outer edge of the path around the pool is 113.04 ft.
What is the circumference?The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.
Given
A circular swimming pool has a radius of 15 ft.
There is a path all the way around that pool that is three feet wide.
A circle has a radius of 15 feet.
A larger circle goes around the smaller circle that is 3 feet wide.
The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.
The radius of the outer edge of the path around the pool = 15 + 3
The radius of the outer edge of the path around the pool = 18ft
The circumference of the outer edge of the path around the pool is;
[tex]\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft[/tex]
Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.
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Please help me with this question
Answer: 5
Step-by-step explanation:
If g(x) = x2 - 4, find g(5).
06
O 14
O 21
0 29
Answer:
g(5)=6
Step-by-step explanation:
g(5)=(5)(2)-4
g(5)=10-4
g(5)=6
At a recent sports clinic, there were 110 women and 90 men in attendance. Of the
total attendance, what percentage were women and what percentage were men?
a Women
b. Men
Answer:
Its A women
Step-by-step explanation:
If < 5 = 35 what is m < 1
Answer:
m < 1 = 35
Step-by-step explanation:
this is because the lines are parallel therefore m<5=m<1
What is the sum of frothy-three thousand and twenty-one hundreds?
Answer:
My answer would be Frothy-five thousand and one hundred (45,100).
Step-by-step explanation:
Please help me. It's literally math!
Find the exact two values for this problem in radians.
[tex]Cos x = 1/3[/tex]
Answer:
see below
Step-by-step explanation:
given function: [tex]Cos(x)=\frac{1}{3}[/tex]
------------------------------------------------------------------------------------------------------Cosine - (In a right triangle, the ratio of the length of the adjacent side to the length of the hypotenuse.)
---------------------------------------------------------------------------------------------------#1: Take the inverse cosine of both sides of the equation to extract [tex]x[/tex] from inside the cosine.
[tex]x=arccos\frac{1}{3}[/tex]
#2: Evaluate
[tex]x=1.23095941[/tex]
#3: The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from [tex]2[/tex]π to find the solution in the fourth quadrant.
[tex]x=2(3.14159265)-1.23095941[/tex]
#4: Simplify the equation above.
- Multiply [tex]2[/tex] by [tex]3.14159265[/tex]
[tex]x=6.2831853-1.23095941[/tex]
- Subtract [tex]1.23095941[/tex] from [tex]6.2831853[/tex]
[tex]x=5.05222588[/tex]
#5: Find the period.
- The period of the function can be calculated using [tex]\frac{2\pi }{|b|}[/tex].
[tex]\frac{2\pi }{|b|}[/tex]
- Replace [tex]b[/tex] with [tex]1[/tex] in the formula for period.
[tex]\frac{2\pi }{|1|}[/tex]
#6: Solve the equation.
- The absolute value is the distance between a number and zero. The distance between [tex]0[/tex] and [tex]1[/tex] is [tex]1[/tex].
[tex]\frac{2\pi }{1}[/tex]
- Divide [tex]2\pi[/tex] by [tex]1.[/tex]
[tex]2\pi[/tex]
The period of the [tex]cos(x)[/tex] function is [tex]2\pi[/tex] so values will repeat every [tex]2\pi[/tex] radians in both directions.
[tex]x=1.23095941+2\pi n,5.05222588+2\pi n[/tex], for any integer [tex]n[/tex]
The table shows the favourite colour of 400 p
o
Colour
Frequency | Angle in
Red
100
Blue
100
Green
150
Yellow
50
Answer:
I don't clearly understand your question pls can you rearrange it to a simpler form
Answer:
yo I'm looking for the same answer I need it ASAP before Friday
Find the value of x from the following. X/4 = 6
x/2 = 12. 5
Answer:
x = 24; x = 25
Step-by-step explanation:
Question 1
x/4 = 6
x = 24 *multiply both sides by the denominator to isolate the x value
Question 2
x/2 = 12.5
x = 25 *multiply both sides by the denominator to isolate x
Help plsss. Solve using ratios and please show your work!!! I’ll give brainlist to the first person who is right!!!!!
Answer:
1) 12 cm
2) 20 cm
Step-by-step explanation:
Those are my guess but it is simple math just take the cm of the flag for the length and width and multiple the cm by the 4 to get the answer hope it helps
I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
Answer: a=36pi
Step-by-step explanation:
We know that the formula for the area of a circle is a=(pi)(r)^2
Knowing that the diameter is 12 we can find the radius is 6 as the radius is half of the diameter. Now we can plug that into the equation. a=pi*6^2
Simplify
a=36pi
I don’t understand what to do
Answer: 14cm
Step-by-step explanation:
The diameter of a circle is twice the radius.
Therefore, the diameter = 2*7 cm = 14cm
Answer:
14 cm
r=7
d=2r
d=2×7
d=14
Step-by-step explanation:
please mark me as brainlest
A line passes through the point (8, 5) and has a slope of 3.
Answer:
[tex]\displaystyle 3x - y = 19\:or\:y = 3x - 19[/tex]
Step-by-step explanation:
Plug the information into the Slope-Intercept Formula:
[tex]\displaystyle 5 = 3[8] + b \hookrightarrow 5 = 24 + b; -19 = b \\ \\ y = 3x - 19[/tex]
Suppose you need to write this equation in standard form. You would follow these procedures:
y = 3x - 19
- 3x - 3x
__________
[tex]\displaystyle -3x + y = -19[/tex]
*Now, you can leave the standard equation like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.
[tex]\displaystyle \boxed{3x - y = 19}[/tex]
I am joyous to assist you at any time.