Given that,
An equation : [tex]x^2 + 13x + 30 = 0[/tex]
To find,
The value of x.
Solution,
We have, [tex]x^2 + 13x + 30 = 0[/tex]
We can solve it as follows :
[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]
So, the solution of the given equations are -3 and -10.
The best player on a basketball team makes 95% of all free throws. The second-best player makes 90% of all free throws. The third-best player makes 80% of all free throws. Based on their experimental probabilities, estimate the number of free throws each player will make in his or her next 40 attempts. Explain.
Answer: See explanation
Step-by-step explanation:
The best player on a basketball team makes 95% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:
= 95% × 40
= 95/100 × 40
= 0.95 × 40
= 38
The second-best player makes 90% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:
= 90% × 40
= 90/100 × 40
= 0.90 × 40
= 36
The third-best player makes 80% of all free throws. The number of free throws the best player will make in his or her next 40 attempts will be:
= 80% × 40
= 80/100 × 40
= 0.80 × 40
= 32
The number of pages in an Algebra 1 book is 99 less than the number of pages in a gemomerty book. Write and solve an equation to find the number n of pages in the geomerty book
Answer:
n = a + 99
Step-by-step explanation:
Given that :
a = number of pages in algebra book 1
n = number of pages in geometry book
a = n - 99
The number, n of pages in a geometry book is ;
Pages in algebra book = (pages in geometry book - 99)
a = n - 99
a + 99 = n - 99 + 99
a + 99 = n
Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.
Answer:
There's 9 nickels and no dimes
Step-by-step explanation:
the quarters equal $2.25
so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so
The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;
n = q + dn = 10q +d = 10Since, the total value of quarters, dim, and nicke is; $2.70.
Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;
n = q + dSince, Gabby has 20 coins in her pocket.
n + q + d = 20Therefore 2n = 20 from n = q + d
n = 10Read more on system of equations:
https://brainly.com/question/20978003
How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1
Answer:
Steps below
Step-by-step explanation:
(3/x²)+ 2/x =1 (x ≠ 0)
(3/x²) + 2x/x² = 1
(3 + 2x) / x² = 1
3 + 2x = x²
x² - 2x - 3 = 0
(x + 1) (x - 3) =0
x = -1 or x = 3
Writer the ratio in 3 ways 4 books for every 25 shelves
Answer:
400:2500 , 40:250 ,and 4:25
if 12% = £54
what does 100% =
Brainliest to first correct answer :)
Answer:
£450
Step-by-step explanation:
12%=£54
100%=?
we will criss cross it then 12%×?=100%×£54÷12
=£450
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he
babysits for 7 hours. You may solve with any method but you must show your work.
Step-by-step explanation:
First, you want to find the unit rate, or how much Han earns per hour
You can do this by setting up an equation
x= amount earned per hour
4x= 33 Initial equation
4x/4 = 33/4 Isolating the variable
x = 33/4 = 8 1/4 = 8.25 The unit rate
Now you want to set up a new equation to find out how much he makes for 7 hours
x= amount earned per hour
y = total amount earned
y = 7x Initial equation
y = 7 ( 8.25) Substitution
y = 57.75 The answer
Han earns $57.75 for every 7 hours
Checking the answer....
y = 7x
57.75 = 7x Substitute y instead
57.75/7 = 7x/7
8.25 = x
Your answer should be correct
Hope this helps!!!
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
1/9
1/3
2/21
2/3
The probability of picking a chocolate chip cookie is 1/3.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.
N represents no. of.
So, N(S) = 5 + 4 + 6 = 15.
N(CC) = 5, N(SR) = 4 and N(OR) = 6.
∴ The probability of picking a chocolate chip cookie is = N(CC)/N(S).
= 5/15.
= 1/3.
learn more about probability here :
https://brainly.com/question/743546
#SPJ2
8, 6, 4, 2, 0, ...
The first 5 terms of a linear sequence are shown above.
What is the 100th term in the sequence?
9514 1404 393
Answer:
-190
Step-by-step explanation:
The n-th term of an arithmetic (linear) sequence is given by ...
an = a1 +d(n -1)
where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.
an = 8 -2(n -1)
Then the 100th term is ...
a100 = 8 - 2(100 -1) = 8 -198 = -190
The 100th term is -190.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream a customer gets to choose a cone and a type of ice cream how many events are described
Answer:
2 events are described.
Step-by-step explanation:
Because only three types of cones and 31 flavours of ice cream.
Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.
Answer:
The question is written kinda bad, so i take the next two assumptions:
The original line is:
y = 5*x + 23
And we want to find a perpendicular line that passes through the point (-40, 2012)
Suppose that we have a linear equation:
y = a*x + b
A perpendicular line to this one, will have a slope equal to -(1/a)
Then a random perpendicular line to the one above, is:
y = -(1/a)*x + c
In this case, we start with the line:
y = 5*x + 23
Then the family of perpendicular lines to this one, will be like:
y = (-1/5)*x + c
Where c can be any real number.
Now, we also want this line to pass through (-40, 2012)
This means that when x = -40, the value of y must be 2012
We could replace these values in our equation above and solve it for c.
2012 = -(1/5)*(-40) + c
2012 = 40/5 + c
2012 = 8 + c
2012 - 8 = c = 2004
Then the equation is:
y = -(1/5)*x + 2004.
WILL mark brainliest
Answer:
do u have to find the pattern?
Step-by-step explanation:
help plz I really need to finish
Answer:
[tex]26x^6y^4[/tex]
Step-by-step explanation:
the volume is like
[tex]V = length\cdot width\cdot depth[/tex]
so we have
[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]
A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami. Write an equation to show what percent of sandwiches sold were pastrami
Answer:
36/90 * 100 = p
(p is percent sold that were pastrami)
Step-by-step explanation:
First, 36/90 (part over whole), simplifies to 40/100. We can multiply that by 100 to get a percentage. And that is your equation.
Help plz I need to fin before today help
Answer:
BD = 12.1 (nearest tenth)
Step-by-step explanation:
∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.
BD divides ∆ABC into two equal parts.
Apply trigonometric ratio to find BD.
Reference angle = <BAD = 60°
Adjacent = AD = 7
Opposite = BD
Thus, we would have:
tan 60 = opp/adj
Tan 60 = BD/7
7*Tan 60 = BD
12.1 = BD
BD = 12.1 (nearest tenth)
98 = 3y - 4 whats tha answer
Answer:
y = 34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
you would add 4 to both sides and get
102=3y
then you would divide by three and get
34=y
On Tuesday at lunch time, it was 29°C. By sunset , the temperature had dropped to 16°C
Answer:
whats the question?
Step-by-step explanation:
What is the gradient of the blue line?
Answer:
gradient = - 5
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5
Pls help me It would help alot
Answer: A=4πr2
I really hope this helped!!
An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?
Answer:
207.7175
Step-by-step explanation:
take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.
A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?
Answer:
$7
multiply .07 times 100
What is the solution to this equation?
-0.20% – 20) = 44-x
A x= -90
B. X=-50
C. x = 50
D. X=90
Answer:
C. x = 50
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.
Answer:
(15+3)/6= the input
18/6= 3
since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:
6*3= 18
and 18-3= 15 so it checks out.
Step-by-step explanation:
I hope this helps :)
On the swim team, for every 10 girls there are 7 boys. If there are 21 boys on the swim team, how many girls are there?
Answer:
30 girls
Step-by-step explanation:
Every 10 girls there are 7 boys.
So if there are 3 groups of 7 boys, there will be 30 girls.
Check:
10 girls: 7 boys
+10 girls: 7 boys
+10 girls: 7 boys
= 30 girls: 21 boys
Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct? *
Answer:
Kayla is correct
Step-by-step explanation:
For a vertical line, the x-value is the same
This means there is no change in the x value
A slope is calculated by dividing by the change in x value
since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined
This means that Kayla is correct
Triangle ABC is a right triangle. Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees. What is the relationship between angles A and B?
Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°
∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )
Thus
∠ A and ∠ B are complementary angles
Answer: They are complementary
Step-by-step explanation: took the test on edge!
I need help with my math!
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 50 students in the chorus, how many are girls, and how many are boys? ??50 The ratio of girls to boys is too. The number of girls in the chorus is. The number of boys in the chorus is.
Answer:
there are a total of 20 boys and 30 girls in the choir of 50 students
Step-by-step explanation:
Scale the ratio 2:3. so that the numbers on either side sum to 50 . 2+3=5 , and 50÷5=10 , so we scale our ratio by a factor of 10 . So there are a total of 20 boys and 30 girls in the choir of 50 students
A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
kristen is building a pattern using triangles, the table shows the number of triangles in the first 4 terms of that pattern. which formula describes the number of triangles in the nth term of the pattern.
A. n=t+2
B.n=t+3
C. n=2t-1
D. n=2t + 3
Answer:
its C. im doing test to i saw different page
Step-by-step explanation:
diff pge
QUESTION 23
Tamara has $50 to spend on craft supplies. She spends $30
plus a 5% tax at the store. How much change should she
receive?
Answer:
the answer is $18.5
Step-by-step explanation:
30 + tax is $31.50
Answer:
$18.50
Step-by-step explanation:
Before Tax Price: $30
Sales Tax Rate: 5%
After Tax Price: $18.50
How can you find how much the sales tax is? Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply:
[cost of the item] x [percentage as a decimal] = [sales tax]
Step 1 : $30 x .05 (5%) = $1.50 Step 2 : $30 + $1.50 = $31.50Step 3 : $50 - $31.50 = $18.50