Answer:
[tex]x=7, x=-3[/tex]
Step-by-step explanation:
Bring the 21 on the LHS:
[tex]x^2-4x-21=0[/tex]
At this point we need to find two numbers whose product is -21, and whose sum is -4.
From the product we can tell that one has to be positive, and one is negative.
From the sum, we can tell that the greater of the two is negative.
At this point we look at the factors of 21: 1,3,7,21.
In particular, 3 and -7 added togheter do -4, which is what we need. At this point we can factor the trinomial as
[tex](x-7)(x+3)=0[/tex]
Considering that a product is zero if any of the factors is zero, it's:[tex]x-7=0 \rightarrow x=7\\x+3=0 \rightarrow x=-3[/tex]
Find the length of WY
Answer:
WY = 180
Step-by-step explanation:
the diagonals of an isosceles trapezoid are congruent , so
ZX = WY , that is
8y - 4 = 7y + 19 ( subtract 7y from both sides )
y - 4 = 19 ( add 4 to both sides )
y = 23
Then
WY = 7y + 19 = 7(23) + 19 = 161 + 19 = 180
The pyramid below has a square base. Work out the volume of the pyramid
Answer:
17.2 x 17.2 =area of base. ( B x H) = 295.84
295.84 x 24.4 (perpendicular height) = 7218.496
7281.496 x 1/3 ( or divide by three) = 2406.1653
Not sure how many dp you need.
At Hippo Burger, Ava and Mia's meal cost $25.60. They left a 20% tip. how much tip did they leave? whats the total?
Answer:
5.12$
Step-by-step explanation:
I know this because when your dealing with 20% think of it like 1/5.
Know 1/5 of 25.60 is 5.12 how I can calculate this is by timesing 5.12 by 5.
Here is what is would look like.
5.12 x 1=5.12$
5.12 x 2=10.24$
5.12 x 3=15.36$
5.12 x 4=20.48$
5.12 x 5=25.60$
And there's your answer(the last one by the way:))
If you want another example based upon 1/5 and 20% then say they were
30 cows and 30 horses 1/5 of them or 20% of them are sitting how many are sitting.
And since it is 1/5 what times 5 would=60 ?
It would be 12 so 20% of 60 is 12, do you understand what I am saying.
Hope this helps have a great day:)
2 hockey teams, the warriors and the bulldogs, played 15 games each during a month. Both scored a minimum of 0 goals and a maximum of 8 goals. The bulldogs generally scored fewer goals than the warriors. Draw a possible double box poly for the situation. PLEASE HELP!
To draw the possible box make sure to follow the conditions required and organize the information.
What is a double box?This is a type of chart that displays the data obtained by comparing two categories or elements. In this case, the goals of two different teams.
How to complete this task?Read the prompt carefully.
Identify any conditions. For example, in this case, the number of goals obtained by the team warriors should be higher.
Organize the information in a chart.
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solve the equation 3y/2 - 4 > 4/5 + 7y/10.
Answer:
y>6
Step-by-step explanation:
^^
Answer:
y > 6
Step-by-step explanation:
3 x [tex]\frac{y}{2}[/tex] - 4 > [tex]\frac{4}{5}[/tex] + 7 x [tex]\frac{y}{10}[/tex]
---
Subtract 7 [tex]\frac{y}{10}[/tex] from both sides
3 x [tex]\frac{y}{2}[/tex] - 4 - 7 x [tex]\frac{y}{10}[/tex] - 7 x [tex]\frac{y}{10}[/tex] (simplify) -> [tex]\frac{4y}{5}[/tex] - 4 > [tex]\frac{4}{5}[/tex]
Add 4 to both sides
[tex]\frac{4y}{5}[/tex] - 4 + 4 > [tex]\frac{4}{5}[/tex] + 4 (simplify) -> [tex]\frac{4y}{5}[/tex] > [tex]\frac{24}{5}[/tex]
Mulitply both sides by 5
[tex]\frac{5x4y}{5}[/tex] > [tex]\frac{24 x 5}{5}[/tex] (simplify) -> 4y >24
Divide both sides by 4
[tex]\frac{4y}{4}[/tex] > [tex]\frac{24}{4}[/tex] (simplify) -> y > 6
HELP I NEED THIS BY 9:30
Angel is 3 years younger than seven times Nancyś age. If Angel is 25, how old is Nancy?
Answer: Look at description please
Step-by-step explanation:
Nancy would be 4 years old
Make the equation
7n-3=25
add 3 to both sides
7n=28
n = 4
Therefore making Nancy 4 years old.
*Let me know if I am worng*
Hope this helps :)
Angel is 3 years younger than seven times Nancyś age and if Angel is 25 then Nancy is 4 years old.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Angel is 3 years younger than seven times Nancyś age.
Let N be Nancy's age.
We know that Angel's age is 7N - 3.
We also know that Angel is 25.
So we can set up the equation: 7N - 3 = 25.
7N-3=25
Add 3 on both sides to isolate N
7N=28
Divide both sides by 7
N=4
Hence, if Angel is 25 then Nancy is 4 years old.
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I am really bad at math so I need help
Answer:
What are we supposed to find
find the slope between (6,10) and (4,-2)
Answer:
6
Step-by-step explanation:
y2 - x1 / x2 - x1
10 - (-2) / 6 - 4
10 + 2 / 2
12 / 2
6
I need help with this question please.
Answer:
the second one
Step-by-step explanation:
∠A and \angle B∠B are supplementary angles. If m\angle A=(8x-27)^{\circ}∠A=(8x−27)
∘
and m\angle B=(4x+3)^{\circ}∠B=(4x+3)
∘
, then find the measure of \angle A∠A.
i
Answer:I don know
Step-by-step explanation:
Yor welcome
HELP ME PLEASE!!!!!!!!!!!
Answer:
Least to greatest: (D), 6/25, 0.243, 24.5%,
Step-by-step explanation:
6/25=0.240
0.243=0.243
24.5%=0.245
1. An airplane moves at a constant speed of 120 miles per hour for 3 hours. How many miles does it go?
2. A train moves at a constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?
3. A car moves at a constant speed of 50 miles per hour. How many hours does it take the care to go 200 miles?
Answer:
1. 360 miles
2. 1.5m/m
3. 4 hours
Step-by-step explanation:
1. d (distance) = v (speed) x t (time)
d = 120 x 3
d = 360
2. v = d/t
v = 6/4
v = 1.5
3. t = d/v
t = 200/50
t = 4
General Sherman led his army 425 miles in 50 days. Calculate the rate his army traveled in miles per day.
Answer:
8.5 miles per day
Step-by-step explanation:
divide 425 by 50 and boom u got the answer
solve each equation
2x=5
y+1.8=14.7
6=1/2z
3 1/4 = 1/2 + w
2.5t=10
Answer:
1. 2x=5
Divide both by 2, x=2.5
2. y+1.8=14.7
Subtract 1.8 from both sides to isolate the variable, x=12.9
3. 6=1/2z
Multiply each side by 2 to isolate the variable, 12=z
4. 3 1/4 = 1/2+w
Isolate the variable by subtracting 1/2 to both sides, 2 3/4 = w
5. 2.5t=10
Divide each side by 2.5 to isolate the variable, t=4
Step-by-step explanation:
What is the value of the 24th term is the fourth term is 6 and the eighth term is 8
A. 24
B. 16
C. 8
D. 4.5
The value of the 24th term is 16.
Arithmetic progression:aₙ = a + (n - 1)dwhere
a = first term
d = common difference
n = number of terms
Therefore,
6 = a + 3d
8 = a + 7d
let's find a and d
2 = 4d
d = 2 / 4
d = 1 / 2
6 = a + 3 / 2
a = 6 - 3 /2
a = 4.5
Therefore, the 24th term can be found as follows;
24th term = 4.5 + 23(0.5)
24th term = 4.5 + 11.5
24th term = 16
learn more on arithmetic progression here; https://brainly.com/question/9882454
Westside high’s 2015 senior-class science enrollment is summarized by the venn diagram. chemistry, biology, and physics class enrollments are denoted by the sets c, b, an p, respectively. how many students are in the 2015 senior class? how many students are taking chemistry and biology, but not physics? how many students are not taking science?
There are 63 students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.
What is the Venn diagram?A Venn diagram is a graphic that employs circles to depict connections between objects or finite groups of objects.
Circles that overlap share characteristics, but circles that do not overlap do not.
In the Venn diagram the following data is observed;
Chemistry - 9
Biology - 11
Physics - 7
Biology+Chemistry- 5
Biology+Physics - 4
Physics+Chemistry -6
Physics+Chemistry+Biology-3
None of the three - 18
Total -- 63
We can clearly see from the table that the grand total of the table of data is the total number of pupils in the senior class. In other words, the total number of people is 63.
In addition, there are 7 students who are taking chemistry and biology but not physics.
The number of students who do not take science is equal to the number of students who do not take biology, chemistry, or physics, i.e. the 18 students outside the circle.
There are 63 students are in the 2015 senior class
There are 5 students who are taking chemistry and biology, but not physics.
There are 18 students who are not taking science.
Hence there are 63 students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.
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Can someone help me with this please???
Brainlyest if you help me lol
The mass of a freight train is 9.98 • 106 kilograms. The mass of an aircraft carrier is 7.3 • 107 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)
Expand the mass of each:
Freight train: 9.98 x 10^6 = 9,980,000 kg
Aircraft carrier: 7.3x10^7 = 73,000,000 kg
Now subtract:
73,000,000 - 9,980,000 = 63,020,000 kg
Convert to scientific notation: 6.302 x 10^7 kg
A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3. 14 for π and round to the nearest hundredth.
The radius of the cylinder will be [tex]r=2.25ft[/tex]
What will be the radius of the cylinder?It is given that
[tex]Volume of the cylinder = 400 ft^{3}[/tex]
[tex]height of the cylinder= 25 ft^{3}[/tex]
Now we know that
[tex]Volume of the cylinder = \pi r^{2} h[/tex]
putting values in the formula
[tex]400= \pi \times r^{2} \times25[/tex]
[tex]r= \dfrac{4}{\sqrt{3.14} }[/tex]
[tex]r=2.25 ft[/tex]
Thus the radius of the cylinder will be [tex]r=2.25ft[/tex]
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Solve the inequality and graph the solution on the line provided.
3 + 2x > 5
Answer:
x>1
Step-by-step explanation:
In order to do this, we can take the inequality:
3+2x>5
now there are constants on both sides meaning we can combine them like the following:
3+2x>5
-3 -3
------------
2x>2
Now we can simplify
2x/2>2/2
therefore, the answer is x>1
In order to graph this on a line you would need to put in a circle which is not filled in because x isn't equal to and greater than 1 so we put in a blank circle and since x is always going to be greater than 1, we would put a line that keeps going on.
You would put this line to the right of 1
o----------->
1 2 3 4 5 6
that is how the line would look like
Find the equation of a line that passes through the points (3,2) and (5,6).
Leave your answer in the form y=mx+c
Answer:
Step-by-step explanation:This particular answer works out to be undefined because it is a straight line and there is no slope and no equation for it. I will show you how to work it out though so you will know how to do it with other problems. We will still be using the y = mx + b formula. First step is to find m. In order to find the slope we would use the equation:
m = (y2 - y1) / (x2 - x1) Note: The number behind the letter designates which x or y value you will use of the 2 (x, y) plots
m = (-5 - 2) / (3 - 3)
m = -7 / 0 Note: A number divided by 0 is undefined which means your slope is undefined
Since your slope is undefined your equation would be x = 3 because your x values are both 3.
Now let's assume your second (x, y) plot was actually (-3, -5).
m = (-5 - 2) / (-3 - 3)
m = -7 / - 6 Note: A negative divided by a negative is a positive. The negatives cancel each other out.
m = 7/6
Okay now back to our slope-intercept formula.
y = 7/6x + b
Now in order to figure out what b is, we will again take the plot point and plug the values into the equation. You can use either point because either way the answer will come out the same. In this case we will use (3, 2).
2 = 7/6(3) + b
2 = 21/6 + b Note: The easiest way to do the next part is to make the 2 into a fraction over 6
12/6 - 21/6 = b
-9/6 = b or -3/2
So now all we have to do is plug this value into our equation.
y = 7/6x - 3/2
Please help with math revision
Answer:
3.
a) There are 1, 2, 3, 4, 5, 6 outcomes.
b) There are 3 odd numbers on this die, and they are: 1, 3, and 5
c) There are 3 even numbers on this die, and they are: 2, 4, and 6
4.
a) There are 3 possible outcomes, green, blue, and red
b) There is a 1/3 chance of getting a red, because there is one red out of three possible outcomes.
c) P(R ∪/or G) = P(R) + P(G) - P(R ∩/and G)
replace those with actual values;
P(R or/∪ G) = 1/3 + 1/3 - (1/3 x 1/3) = 2/9
d) There are 2 other colors besides red out of 3, so therefore it is a 2/3 chance
e) The probability of getting a yellow is not mentioned therefore it is impossible.
5.
a) There are 7 possible outcomes
b) There is only one 6 in the spinner out of 7 numbers, so it will be a 1/7 chance
c) There is no 8 mentioned in this spinner, hence this event is impossible.
d) P(2 ∪/or 4) = P(2) + P(4) - P(2 ∩/and 4)
replace them with actual values;
1/7 + 1/7 - (1/7 x 1/7) = 13/49
e) There are 3 even numbers in the spinner, so it is a 3/7 chance
f) There are 4 odd numbers in the spinner, so it is a 4/7 chance
g) There are 8 marbles in a bag, what is the probability of getting a marble? The event has to be certain if you're getting a probability of 1.
6.
a) There are 5 possible outcomes.
b) There is one "T" in the word 'maths', so it would be a 1/5 chance of getting a t since there are 5 letters in total. Though, they want it in decimals so 1/5 = 0.2
c) There are 4 consonants in the word 'maths', so it would be a 4/5 chance of getting a consonant. Though, they want it in decimals so: 4/5 = 0.8
d) There are 3 letters in both 'tame' and 'maths', so 3 letters out of 5 letters (3/5) could be a letter used in 'tame' from 'maths'. Though, they want a percentage so: 3/5 = x/100, solving for x would equal 60%.
Josue is saving up to buy a new phone. He already has $100 and can save an additional $5 per week using money from his after school job. How much total money would Josue have after 4 weeks of saving? Also, write an expression that represents the amount of money Josue would have saved in ww weeks.
Answer:
$120, 5w+100
Step-by-step explanation:
Josue starts with $100 and earns $5 a week over 4 weeks. That means you multiply 5 by 4 to get $20 dollars earned over 4 weeks. Then you add that to how much money he already has 100+20=$120 after 4 weeks. To get an expression, we have to take the amount of weeks and multiply it by 5 to show the 5 dollars he earns every week (5w) and then add the 100 dollars he already has to it, which gives us 5w+100.
If u get it right I guess brainliest and 100 points and 5 star
Answer:
Point C
Step-by-step explanation:
Hope it helps you in your learning process.
Answer:
The answer is Point C
Step-by-step explanation:
Where they first intersect is point C A intersection is a point or line common to lines or surfaces that intersect.
Hope this helps mark brainiest please :)
A farm lets you pick 3 pints of raspberries for $12.00.
A. what is the cost per pint?
B. How many pints do u get per dollar
C. At this rate how many pints can you afford for 20.00
D. At this rate how much will 8 pints raspberries cost
Please help me. I've been working on this for an hour and I just need an answer. Thank you so much if you do all of these. I will forever be indebted to you :)
Part A:
Rewrite without absolute value for the given conditions:
1) y = |x−3|+|x+2|−|x−5|, if x > 5
2) y = |10-x|, if x<10
Part B:
Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets:
1) All numbers such that x≤5.
2) All numbers such that x≤−14.
Again, thank you so much if you do all of these!
Answer:
Step-by-step explanation:
Rewrite without absolute value for the given conditions:
1) y = |x−3|+|x+2|−|x−5|, if x > 5
y = x-3 + x + 2 - (x-5)
y = x + 4
2) y = |10-x|, if x<10
y = 10 - x
In both cases, the value of x is held to values that make the absolute value notation redundant, so they can be removed.
===============
Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets:
I actually don't understand the question. Rewrite the above equations, or make new ones? Sorry.1) All numbers such that x≤5
x≤5 kinda does it for me. X can be any number less than or equal to 5. Ta da. (?)
2) All numbers such that x≤−14.
x ≤ -14
Same comment. I'm not sure what is being asked.
solve for m
8m=4 simplify
Answer:
Isolate the mDivide both sides by 8:Simplify the fraction:Find the greatest common factor of the numerator and denominator:Factor out and cancel the greatest common factor:
Then you get m=1/2
Step-by-step explanation:
Solve. Use the strategy "work backward."
Larissa said, "If you multiply my age by 3, subtract 6 from the product, then divide the difference by 5, the result is 9." What is Larissa"s age?
Let that be x
ATQ
[tex]\\ \rm\Rrightarrow 3x-6/5=9[/tex]
Arrange accordingly to work backwards(Every thing is reversed)
[tex]\\ \rm\Rrightarrow 9(5)+6/3=x[/tex]
[tex]\\ \rm\Rrightarrow 45+6/3=x[/tex]
[tex]\\ \rm\Rrightarrow 51/3=x[/tex]
[tex]\\ \rm\Rrightarrow x=17[/tex]
.
does 5 x 1,000 + 7 x 1+ 9 X 10 + 9 x 100 + 2 x 1,000 = 5,007.992
Answer:
No
Step-by-step explanation:
7997
Grey ran 3 1/3 miles Monday, 1 1/6 miles on Friday and 2 3/8 miles on Sunday. How many total miles did he run on those three days?
Answer:
7 13/24 miles
Step-by-step explanation:
First reduce 11/6 into 1 5/6
Then add them all together to get 7 13/24
Answer:
The total would be 6 7/8 miles.
Step-by-step explanation:
Hope this helps :)
Indira buys a television in a sale for $924. This was a reduction of 12% on the original price. Calculate the original price of the television
( 100 / 88 ) * 924 = original price
( 100 / 88 ) * 924 = $1050