Answer:
- sign indicates the fact that it's Below sea level
Factorise 4x^2-y^2 please help
Answer:
(2x + y)(2x - y)
Step-by-step explanation:
1. Simplify the square 4x²:
(2x)² - y²
2. Apple the difference of two squares formula x² - y² = (x + y)(x - y):
(2x + y)(2x - y)
hope this helps!
The TV chef didn't know the first thing about cooking. He was just hired for his wavy blonde hair and charming British accent. So last Tuesday, while the gullible audience thought the chef was mixing up a world-renowned hollandaise sauce, he was actually just mixing a 5 ounce sauce containing 50% tangy mustard with another sauce containing 75% tangy mustard to get a sauce containing 70% tangy mustard. How many ounces of the 75% tangy mustard sauce must the chef have used?
The number or amount of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .
Number of ouncesFirst step
Since 5 ounce sauce containing 50% tangy
Hence:
5 oz×.50 tangy
=2.50 oz-tangy
Second step
(5+x)×0.7=3.5+0.7x
Third step
2.50+0.75x=3.5+0.7x
Collect like term
0.75x-0.7x=3.5-2.50
0.05x=1
Divide both side by 0.05
x=1/0.05
x=20 ounces
Therefore the number of ounces of the 75% tangy mustard sauce must the chef have used is: 20 ounces .
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subtract -5/7 from -2/3
Answer:
[tex]-\frac{1}{21}[/tex]
Step-by-step explanation:
The opposite of -2\3 is 2\3
-
-5\7 + 2\3
Least common multiple of 7 and 3 is 21. Convert -5\7 and 2\3 to fractions with denominator 21.
-
-15\21 + 14\21
Sinse -15\21 and 14\21 have the same denominator, add them by adding their numerators.
[tex]\frac{-15+14}{21}[/tex]
-
Add −15 and 14 to get −1.
-1\21
each morning, danai buys breakfast on her why to work. In the past thirty days, she bought a bagel on 6 days, a banana on 12 days, a doughnut on 3 days, and an orange on 9 days. If she bought one item per day, what is the probability that she bought either a banana or an orange? Show or explain your work and write you answer in the space provided.
Answer:
0.7 or 70%Step-by-step explanation:
Total number of days
6 + 12 + 3 + 9 = 30The number of days she bought a banana or orange
12 + 9 = 21The probability of buying a banana or an orange is
P(b or o) = 21/30 = 0.7 = 70%Answer:
[tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]
Step-by-step explanation:
Given information:
Bagel bought on 6 daysBanana bought on 12 daysDoughnut bough on 3 daysOrange bought on 9 daysTotal number of days = 30
Probability Formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Probability of buying a banana:
[tex]\implies \sf P(Banana)=\dfrac{12}{30}[/tex]
Probability of buying an orange:
[tex]\implies \sf P(Orange)=\dfrac{9}{30}[/tex]
Therefore,
[tex]\implies \sf P(Banana) \: or \: P(Orange)=\sf \dfrac{12}{30}+\dfrac{9}{30}=\dfrac{21}{30}=\dfrac{7}{10}[/tex]
So the probability of buying either a banana or an orange is:
[tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]
A softball has a volume of about 29 cubic inches. Find the radius of the softball. Round your answer to the nearest tenth
Identify the relationship between the graphs of
these two equations.
2y = 6x + 5
6y=-2x + 1
Click on the correct answer.
parallel
perpendicular
neither
Jim picks a five digit odd number. The second digit is less than 5. The fourth digit is a cube number. The first digit is a prime number. How many different numbers could he pick?
Answer:
3,000 numbers.
Step-by-step explanation:
First digit: 2, 3, 5, or 7 (primes)
Second digit: 0, 1, 2, 3, or 4 (less than 5)
Third digit: 0-9
Fourth digit: 0, 1, or 8 (cubic numbers)
Fifth digit: 1, 3, 5, 7, or 9 (odd numbers)
So we have 4 * 5 * 10 * 3 * 5 = 3,000 possible numbers.
I need help asap pls
Answer:
Circumference = 25.14 cm
Area = 50.28 cm²
Step-by-step explanation:
∴ Circumference = 2πr
⇒C = (2) (22/7) (4)
⇒C = 25.14 cm
∴ Area = πr²
⇒A = (22/7) (4)²
⇒A = 50.28 cm²
Hope that helps...
Solve each equation.
a.8x=2/3
b.1 1/2=2x
c.5x=2/7
d.1/4x=5
e.1/5=2/3x
what is 4(3x6)squared divided by 6(-12)?
Answer:
-2592
Step-by-step explanation:
this doesn't seem right but its what i got
What is the third quartile of this data set?
14, 18, 20, 21, 25, 32, 38, 42, 48
A. 42
B. 36
C. 40
D. 38
Answer:
40 so C would be your answer.
The third quartile of the data set is 38.
What is Quartile?Quartiles are statistical measures that divide a dataset into four equal parts, each representing 25% of the data. They are used to analyze the distribution and spread of data.
There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).
To find the third quartile of a data set, we need to arrange the data in ascending order and then locate the value that divides the upper 25% of the data from the lower 75%.
Arranging the data set in ascending order:
14, 18, 20, 21, 25, 32, 38, 42, 48
The data set has 9 values, so the third quartile will be the value at the
(9 0.75)th position
= 6.75th position.
Since we can't have a fractional position, we round up to the nearest whole number, which is 7.
The value at the 7th position is 38. Therefore, the third quartile of the data set is 38.
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AB is tangent to circle O at A. Find the length of radius r to the nearest tenth. A to B is 11. B to O is 8.
Please answer ASAP will mark as brainlist
Answer: 3.6
Step-by-step explanation:
What is the sum of the diagonals in a rectangle whose area is 25v3 and whose width is 5?
Answer:
Sum of diagonals = 20 units
Step-by-step explanation:
[tex]A(rectangle)=25\sqrt 3\: units^2\\w(rectangle) =5\: units[/tex]
To find: Sum of diagonals
[tex]A(rectangle)=l(rectangle)\times w(rectangle) [/tex]
[tex]\implies l(rectangle)=\frac{A(rectangle)}{w(rectangle)}[/tex]
[tex]\implies l(rectangle)=\frac{25\sqrt 3}{5}[/tex]
[tex]\implies l(rectangle)={5\sqrt 3}\: units[/tex]
Let the diagonals of the rectangle be [tex]d_1\:\&\:d_2\: units[/tex]
Diagonals of a rectangle are equal in measure.
[tex]\implies d_1=d_2=\sqrt{l(rectangle)^2+w(rectangle)^2}[/tex]
(By Pythagoras Theorem)
[tex]\implies d_1=d_2=\sqrt{(5\sqrt 3)^2+(5)^2}[/tex]
[tex]\implies d_1=d_2=\sqrt{75+25}[/tex]
[tex]\implies d_1=d_2=\sqrt{100}[/tex]
[tex]\implies d_1=d_2=10\: units[/tex]
[tex]Sum \:of \:diagonals = d_1+d_2[/tex]
[tex]\implies Sum \:of \:diagonals = 10+10[/tex]
[tex]\implies Sum \:of \:diagonals = 20\: units[/tex]
In right triangle AEFG, m_ E= 25°. In right triangle AHJK, mZH = 25°. Which
similarity postulate or theorem proves that A EFG and AHJK are similar?
A. HL
O B. SAS
O C. SSS
O D. AA
Help me I’ll give brianliest
Answer:
option D is a correct answer AA postulate
The two triangles are similar by the AA postulate
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔEFG
Let the second triangle be ΔHJK
Now , the corresponding angles are
∠E = 25° = ∠H
So , the two angles are similar
And , the triangles are similar by the AA postulate
Hence , they are similar triangles
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Math extra credit can somebody help?
Divide. Reduce the answer to lowest terms.
3/8 divided by 1/7
Answer:
[tex]2\frac{5}{8}[/tex], or [tex]\frac{21}{8}[/tex]
Explanation:
Use the Keep Change Flip method. Change the sign to multiplication and flip the second fraction. [tex]\frac{3}{8}[/tex] × [tex]\frac{7}{1}[/tex]
Multiply the numerators and the denominators separatley. [tex]\frac{3}{8}[/tex]×[tex]\frac{7}{1}\\[/tex]=[tex]\frac{21}{8}[/tex]
This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction). [tex]\frac{21}{8} =2\frac{5}{8}[/tex]
dibujar esta parabola y= 3x^2
Will mark brainlyest!!
Answer:
A = 120 cm^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is:
A = 2(area of the top) + 2(area of the front) + 2(area of one side)
Substituting the values:
A = 2(20) + 2(16) + 2(24)
First, distributing:
A = 40 + 32 + 48
Then adding, giving your final answer
A = 120 cm^2
Hope this helps you :)
Round your answers to 2 decimal places
use 3. 14 for
Answer:
3
Step-by-step explanation:
0.1 rounds to 0 and 0.04 also rounds to zero. Therefore, the answer is 3.
Please help!!!
Find the measure of the arc or angle indicated.
A. 36°
B. 108°
C. 72°
Answer: C
Step-by-step explanation:
The 36 degree angle is inscribed in the unknown arc, so the arc measures 36(2)=72 degrees.
Please help. Will mark brainlyest!!
Answer:
D
Step-by-step explanation:
It goes 2 down. The ' mark shows that it is the new one
Frank wants to find the area enclosed by the figure at the right. The figure has semicircular on each side of a 40-meter by 40 meter square. Find area enclosed by the figure. 3. 14
What is the area of each parallelogram? (in order)
Answer:
322, 468, 35, 48, 28.5
Step-by-step explanation:
23 times 14 is 322, 18 times 26, 5 times 7, 8 times 6, 3 times 9.5
Answer:
23x14=322ft
18x28=468ft
5x7=35ft
8x6=48ft
3x9.5=28.5
Step-by-step explanation:
hejdbsisugebe
A 5 metre long ladder is placed against a wall. It reaches
4.3 metres up the wall. What is the angle between the
ladder and the ground?
IS
5m long ladder placed against 4.3m up the wall.
to find:the angle between the ladder and the ground.
solution:Based on the given conditions, formulate:
sinx=4.3÷5
Evaluate the equation/expression:
x= 1.03527 or 2.10632
x= 1.03527°
or x= 2.10632°
Find the value of x.
17
X-4
Answer:
x = 12.5
Step-by-step explanation:
17 = 2(x - 4)
17 = 2x - 8
17 + 8 = 2x - 8 + 8
25 = 2x
12.5 = x
Twice a number is 500 more than six times the number. What is the number?
Answer:
-125
Step-by-step explanation:
Twice a number is x*2
x*2 = 500 + x*6
=> x = -125
please help me with the question
Answer:
The answer is B.
Step-by-step explanation:
4x-7 = 2x+9
2x = 16
x = 8
And then we put x into the equations.
y = 32 - 7
y = 25
We then check it with the other equation just to make sure we are correct.
y = 16 +9
y = 25
Therefore, the answer is (8,25).
What is the area of triangle ACD?
Will mark brainlyest!!
Answer:
6cm^2
Step-by-step explanation:
right triangle equation:
bh/2
so
3*4=12/2=6
Answer:
12 Square Units
Step-by-step explanation:
the right triangle: 4 x 3 = 12 12/2 = 6
the left triangle: 4 x 3 = 12 12/2 = 6
Altogether: 6 + 6 = 12
(3y+2)(y–1) simplify??
Answer:
[tex]\boxed{\sf{3y^2-y-2}}[/tex]Step-by-step explanation:
Given:
Isolate the term of y from one side of the equation.
(3y+2)(y-1)
Use the foil method.
[tex]\underline{\text{FOIL METHOD:}}[/tex]
[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]
(3y+2)(y-1)=3yy+3y(-1)+2y+2(-1)
Solve.
[tex]\sf{3yy=3y^2}\\\\\\\sf{3y(-1)=-3y}\\\\\\\sf{2(-1)=-2}[/tex]
[tex]\sf{3y^2-3y+2y-2}[/tex]
Add or subtract the numbers from left to right.
Solutions:
[tex]\sf{-3y+2y=-y}[/tex]
[tex]\Longrightarrow: \boxed{\sf{3y^2-y-2}}[/tex]
Therefore, the correct answer is 3y²-y-2.I hope this helps. Let me know if you have any questions.
Answer:
3y^2-y-2
Step-by-step explanation:
(3y+2)(y–1)
Use the FOIL method
First 3y * y = 3y^2
outer 3y * -1 = -3y
inner 2 * y = 2y
last 2 * -1 = -2
Add them together
3y^2 -3y +2y -2
Combine like term
3y^2-y-2
I WILL GIVE BRAINLIEST!!!!!
Answer:
See below
Step-by-step explanation:
Inscribed angles encompass twice as many degrees of arc as their angle measure
soo 2* { 6x-5 + x+17 } = 360
shows x = 24 then ROP = x+17 = 41 degrees