Answer:
(a - 3) • (a - 4)
Step-by-step explanation:
The first term is, a2 its coefficient is 1 .
The middle term is, -7a its coefficient is -7 .
The last term, "the constant", is +12
Multiply the coefficient of the first term by the constant 1 • 12 = 12
Find two factors of 12 whose sum equals the coefficient of the middle term, which is -7 .
-12 + -1 = -13
-6 + -2 = -8
-4 + -3 = -7 That's it
Rewrite the polynomial splitting the middle term using the two factors, -4 and -3
a2 - 4a - 3a - 12
Add up the first 2 terms, pulling out like factors :
a • (a-4)
Add up the last 2 terms, pulling out common factors :
3 • (a-4)
Add up the four terms
(a-3) • (a-4)
Really hope this helps :)
The electric current is I, is amperes, in a circuit varies directly as the voltage V. When 12 volts are applied the current is 4 amperes. What is the current when 18 volts are applied
Answer: 6 A
Step-by-step explanation:
Given
Current varies directly with Voltage
i.e.
[tex]I\ \propto V\ or\\V\ \propto\ I\\V=IR[/tex]
when V=12 V, I=4 A i.e.
[tex]\Rightarrow 12=4R\\\Rightarrow R=3\ \Omega[/tex]
When V=18 V
[tex]\Rightarrow 18=I\times 3\\\Rightarrow I=6\ A[/tex]
Current is 6 Ampere
The table shows all the possible outcomes for spinning the pointer of the spinner with four equal sized sections labeled 1–4 and another spinner with four equal sized sections labeled A-D. What is the probability that the two pointers will land on an odd number and the letter c? Give the probability as a percent.
Answer:
12.5%
Step-by-step explanation:
There are two types of spinners here and the outcome of them is independent. That means
P(odd number,C) = P(odd number) * P(C)
There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:
P(odd) = 2/(2+2)= 1/2= 50%
There are four letters and the desired outcome is C. The chance for C will be:
P(C)= 1/4= 25%
Then the chance will be:
P(odd number,C) = P(odd number) * P(C)
P(odd number,C) =50% * 25% = 12.5%
Will mark brainliest- please help! find x
Answer:
15
Step-by-step explanation:
Assuming x is the length DB
Δ DSR and Δ DBC are similar, so ratios of corresponding sides are equal, that is
[tex]\frac{DB}{DS}[/tex] = [tex]\frac{DC}{DR}[/tex] , substitute values
[tex]\frac{DB}{10}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )
8 DB = 120 ( divide both sides by 8 )
DB = 15
That is x = DB = 15
Help! Thanks if you do! ✨✨
Answer:
I would say either A or C
Step-by-step explanation:
Which graph best represents y = -x2 + 6x - 1
Answer: Right below!
Answer:
i worked so hard on this graph please may i have brainiest
Step-by-step explanation:
What is the solution to this inequality?
I need help ASAP
Answer:
b option
x<-4 is the correct answer
ILL GIVE BRAINLIEST PLEASE HELP ASAP
Answer:
4.4
Step-by-step explanation:
(-7/10 + 0.15) ÷ (-0.125)
(-70/100 + 15/100) ÷ (-0.125)
-55/100/-0.125
-.55/-0.125
4.4
4-7 -
4-7
7
PLEASE HELP
Answer:
B) 1/4^ 7.
Step-by-step explanation:
You should know this.... basic math
give the value of x for the equivalent ratio 3:8 x:24
Answer:
9
Step-by-step explanation:
3/8=x/24 (cross multiplication)
3*24=8x (we don't need to multiply 3 with 24 bc we will divide both sides by 8 so it will be easier to find the final value)
x=9
Answer:
x = 9
Step-by-step explanation:
8: 24
Multiply 3
8 x 3 = 24
3 : x
Multiply 3
3 x 3 = 9
x = 9
Joaquin was putting numbers on a number line. Which number is NOT placed correctly on the number line?
A.27/2
B.42
c.18 ¾
D.21.1
PLS I NEED HELP
Answer:
C
Step-by-step explanation:
A cylinder with radius 3 feet and height 5 feet is there. What is the volume of the cylinder? Round answer to the nearest hundredth.
Answer:
volume of cylinder
= πr²h
= π×3²×5
= π×9×5
=45π
= 141.37 cubic feet
a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years
Answer:
Interest = $ 90000
Step-by-step explanation:
Given, Principal= $15000
Rate = 3%
Time = 5 years
Interest = P × R × T/100
Therefore, Interest = 15000 × 3 × 5/100
(dividing 100 by 5 to get 20)
= 15000 × 3 × 20
= 90000
if it helps don't forget to like and mark me down
Solve the following equations. Make sure you show each step of the work including any Distributive Property,
Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)
Answer:
A) -18 B) r=10 C) x=-4
Step-by-step explanation:
A) 1d + 12 = 14-20
Step 1: Simplify both sides of the equation.
1d+12=14−20
d+12=14+−20
d+12=(14+−20)(Combine Like Terms)
d+12=−6
d+12=−6
Step 2: Subtract 12 from both sides.
d+12−12=−6−12
d=−18
Answer:
d=−18
B) 4(20+5) = 10r
Step 1: Simplify both sides of the equation.
100=10r
Step 2: Flip the equation.
10r=100
Step 3: Divide both sides by 10.
r=10
C) -2(5 + x) - 1 = 3(x + 3)
Step 1: Simplify both sides of the equation.
−2(5+x)−1=3(x+3)
(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)
−10+−2x+−1=3x+9
(−2x)+(−10+−1)=3x+9(Combine Like Terms)
−2x+−11=3x+9
−2x−11=3x+9
Step 2: Subtract 3x from both sides.
−2x−11−3x=3x+9−3x
−5x−11=9
Step 3: Add 11 to both sides.
−5x−11+11=9+11
−5x=20
Step 4: Divide both sides by -5.
x=−4
Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.
Answer:
17 + m ≤ 65
Step-by-step explanation:
Maximum distance = 65 miles
Number of miles already ridden = 17
Expression to represent how many more miles, 'm' she can ride ;
Number of miles already ridden + m ≤ maximum distance
17 + m ≤ 65
m ≤ 65 - 17
m ≤ 48
The amount of additional miles Lyla can ride is at most 48 miles
two hours later than 11:30 is?
here's a picture help lol
please help!!!!!!!!!
3/4 + 5/7
= 21/28 + 20/28
= 41/28
= 1 13/28
Answer:
3/4 + 5/7 = 41/28 = 1 13/28 ≅ 1.4642857
Step-by-step explanation:
3/4 + 5/7 = 41/28 = 1 13/28 ≅ 1.4642857
Spelled result in words is forty-one twenty-eighths (or one and thirteen twenty-eighths).
I need help with letter A
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 14
Explanation:
6 x 2 = 12
1 x 2 = 2
12 + 2 = 14
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
14
Step-by-step explanation:
6*3-2(2*1)
=18-4=14
Debra and Alexandria can finish a plowing job in two hours if they work together. Debra can do the job in 7 hours by herself. How long would it take Alexandria to finish the same job alone?
Answer:
2 hours 48 minutes
Step-by-step explanation:
Debra=1 plowing job / 7 hours
Debra+Alexandra=1 plowing job / 2 hours
1/2-1/7
=7/14-2/14
=5/14
=1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)
14/5 hour=2 hours 48 minutes (hope hits helps)
Alexandria to finish the same job alone in, 2 hours 48 minutes
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Debra and Alexandria can finish a plowing job in two hours if they work together.
And, Debra can do the job in 7 hours by herself.
Hence, We get;
For Debra = 1 plowing job / 7 hours
Debra + Alexandra = 1 plowing job / 2 hours
Hence, Time to take Alexandria to finish the same job alone is,
= 1/2 - 1/7
= 7/14 - 2/14
= 5/14
= 1/14/5 (Alexandra can do 1 unit of plowing job per 14/5 hours)
= 2 hours 48 minutes
Thus, Alexandria to finish the same job alone in, 2 hours 48 minutes
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ3
Helpppppp! I’ll give 40
Answer:
x = -2 y = -4
x = -1 y = -1
x = 0 y = 2
x = 1 y = 5
Naomi is reading a book that has 420 pages she reads 35 pages each day how many days will naomi need to finish this book
Answer:
12 days
Step-by-step explanation:
420/35 to find amount of days to finish book
420/35 = 12
Find the area of this figure pls
Answer:
1824 in2
Step-by-step explanation:
sqaure = 48 x 32 = 1536 in2
Triangle = (12 x 48) / 2 = 288 in2
total area = 1536 + 288 = 1824 in2
The radius of a regular hexagon is 8 cm.
Find the apothem, perimeter and area
of the regular hexagon.
the measure of the side = of the measure of radius because the regular hexagon have 6 sides = at each others
meaning the measure the perimeter is = 6 times the radius
and the radius = 8cm
so perimeter = 6× 8 cm
perimeter = 48cm
since the apothem is the segment perpendicular to a side thought the center and those segment are not promotional we have the notation as
r square root of 3 divided by 2
r = radius = 8 cm
by apply the formula
8square root 3 divided by 2
so the area will be
since the perimeter is 48cm
and the apothem is 8 square root of 3 divided 2
so the area will be 48 times 8 square root of 3 divided by 2 = 384 square of 3 divided by 2 .
hope that helps.
A fast-food restaurant must apply an 8.5% tax on every sale it makes. How much tax must it charge a customer who purchases a total of $18.50 in food?
Answer: $1.57
Step-by-Step Explanation:
Study.com says: “the formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax,” (study.com, How to Calculate Sales Tax).
So, to find the amount of money they are charging for taxes, we need to use the formula: $18.50 x 8.5%. The selling price is the total sum of the purchase, and the sales tax rate is the percentage number that is apply to every sale as taxes.
Here’s how we solve:
1. To multiply, we first need to change our percentage into a decimal by dividing it by 100. —> 8.5/100 = 0.085
2. Multiply the purchase times the sales tax rate, which is converted into a decimal. —> 18.50 x 0.085 = 1.5725
3. Because money only uses the tenths and the hundredths places, we round up. —> 1.5725 ~ 1.573 ~ 1.57
4. Our answer for the tax amount charged in money is $1.57
Hope this helps!
Please help.
Is algebra.
Answer:
Step-by-step explanation:
Two sides of a triangle have lengths 7 and 15. Which inequality represents the possible lengths for the third side , x?
Answer:
8 < x <22
Step-by-step explanation:
In this question we know the two sides of the triangle to be 7 and 15, let's all the other side x
One one side of the inequality we have:
7+15>x
22 > x
On the other side we have
7 + x > 15
X > 15-7
X>8
When we rearrange these inequalities above we have
8<X<22
We saw from the calculations that 8 is less than X and X is less than 22.
I need the answer to question 3 please help me
Answer:
[tex]x = 26[/tex]
Step-by-step explanation:
Supplementary Angles add up to 180.
Angle C and Angle D add up to 180.
[tex]128 + 2x = 180[/tex]
[tex]2x = 52[/tex]
[tex]x = 26[/tex]
Sally's age is 2 plus 3 times John's age. Together, Sally and John's age equals 30. How old is Sally?
Answer:
Sally is 23 years old.
Step-by-step explanation:
John's age is completely unknown, so it is known as x
Meanwhile, Sally's age can be represented as 3x+2
The sum of both ages is 30.
So, x+3x+2=30
Combine like terms.
4x+2=30
Subtract 2 from both sides.
4x=28
Divide both sides by 4.
x=7
John is 7 years old.
Sally's age: 3(7)+2=23
Sally is 23 years old.
sec(x+20)°=csc(x+20)°
very much secsc
Step-by-step explanation:
yes i love the secc
aster sold 18 oranges if this are 12% of her total oranges how many oranges are not sold
Answer:
132.
Step-by-step explanation:
If 12% are sold then 100-12 = 88% are unsold.
12% = 18 oranges
1% = 18/12 = 1.5 oranges,
88% = 1.5 * 88 = 132.