Answer:
(2x+3)(x + 1)
Step-by-step explanation:\
Since the first term has a coefficient, multiply 3 by 2 which results in 6.
Now to break the equation into groups, we have to find two integers that have a product of 6 and a sum of 5. The two integers are 2 and 3.
2x² + 5x + 3
= (2x² + 2x) + (3x + 3)
Factor out the GCF.
2x (x + 1) + 3(x + 1)
Divide the whole equation by x+1.
Now you're left with (x + 1) and (2x+3)
A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x.
Answer:
24°
Step-by-step explanation:
156° and x° form a straight line, and angles that form a straight line sum to 180°
Thus, 156° + x° = 180°
=> x° = 180° - 156° = 24°
how many different teams of 11 players can be chosen from a soccer team of 15?
Answer:
1,365
Step-by-step explanation:
Answer:
There can be 1365 different ways of choosing 11 players from a squad of 15. This means there can be 1365 eleven-member teams formed with 15 players.
Catagorical and numerical data help lol, thank chu
Answer:
Step-by-step explanation:
Otah lowvely hooman lol. . .
lol give my other acc brainlist X3
Sad girl Shoyo here!!!~<3
Answer:
This is weird
Step-by-step explanation:
heyyyy hope you passed
Primary school students are playing hide and seek at recess as the counting begins Jon runs 100 feet east , turns 45 degrees north of east and runs another 120 feet to find a hiding spot . Lisa finds her hiding spot by running 120 feet west , turning 32 degrees south of west , and continuing another 100 feet which students hiding spot is closer to starting point ?
Answer:
Jon's hiding spot is closer to the starting point.
Step-by-step explanation:
Jon's final position forms a triangle with sides 100 ft and 120 ft respectively with an angle of 180 - 45 = 135 between them. Since the angle between the 100 ft direct east and 120 ft direction is 45, since Jon turns 45 after moving for 100 ft and then moves another 120 ft to his final destination.
Also, Lisa's final position forms a triangle with sides 120 ft and 100 ft respectively with an angle of 180 - 32 = 148 between them. Since the angle between the 120 ft direction west and 100 ft direction south of west is 45, since Lisa turns 32 after moving for 120 ft and then moves another 100 ft to her final destination.
Using the cosine rule,
a² = b² + c² - 2abcosФ, we find the length of the third side of each triangle which is their distance from the starting point.
So, for Jon
a² = b² + c² - 2abcosФ where b = 100 ft, c = 120 ft and Ф = 135°
Thus,
a² = (100 ft)² + (120 ft)² - 2(100 ft)(120 ft)cos135°
a² = 10000 ft² + 14400 ft² - 24000 ft²cos135°
a² = 10000 ft² + 14400 ft² - 24000 ft²(-0.7071)
a² = 24400 ft² + 16970.56 ft²
a² = 41370.56 ft²
a = √(41370.56 ft²)
a = 203.4 ft
for Lisa
a'² = b'² + c'² - 2a'b'cosФ' where b = 120 ft, c = 100 ft and Ф = 148°
Thus,
a'² = (120 ft)² + (100 ft)² - 2(120 ft)(100 ft)cos148°
a'² = 14400 ft² + 10000 ft² - 24000 ft²cos148°
a'² = 14400 ft² + 10000 ft² - 24000 ft²(-0.8481)
a'² = 24400 ft² + 20353.15 ft²
a'² = 44753.15 ft²
a' = √(44753.15 ft²)
a' = 211.56 ft
a' ≅ 211.6 ft
Since a = 203.4 ft < a' = 211.6 ft,
Jon's hiding spot is closer to the starting point.
Four stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost
Answer:
Its c
Step-by-step explanation:
When a bakery opened this morning, the ratio of the number of pineapple muffins to the number of mango muffins was 3 : 2. After 244 pineapple muffins were sold, the ratio of the number of pineapple muffins to the number of mango muffins changed to 3 : 5. How many pineapple muffins were there when the bakery opened this morning?
Answer:
(x+244)/y=3/2
x/y=3/5
y=5x/3
(x+244)/(x5/3)=3/2
x+244=3/2 . 5x/3
x+244=15x/6
6(x+244)=15x
6x+1464=15x
1464=15x-6x
1464=9x
x=1464/9
x≈ 162
mm=162*5/3=270
162:270 = 3:5
pm before = 270*3/2=405
405:270 = 3:2
If a1=4 and an=(an-1)^2 + 5 then find the value of a3.
Answer:
446
Step-by-step explanation:
a2=16+5=21 then a3=441+5=446
The value of term a₃ is,
⇒ a₃ = 446
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are,
⇒ a₁ = 4
And, a(n) = [tex](a_{n - 1})^{2} + 5[/tex]
Now, For n = 2;
⇒ a₂ = a₁² + 5
⇒ a₂ = 4² + 5
⇒ a₂ = 16 + 5
⇒ a₂ = 21
Put n = 3;
⇒ a₃ = a₂² + 5
⇒ a₃ = 21² + 5
⇒ a₃ = 441 + 5
⇒ a₃ = 446
Thus, The value of term a₃ is,
⇒ a₃ = 446
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Mr. Ramirez purchase 20 concert tickets for a total of 225 the concert tickets cost 15 for adults and 10 for children under the age of 12 solve the system equation from part a algebraically
Answer:
c= 15
Step-by-step explanation:
a= # of adults c= # of children
a+c=20
15a + 10c = 225
c= 20-a
substitute 20-a into 15a +10c =225
15a + 10(20-a)= 225
solve for c
hope this helped! :)
Sophia wants to enlarge a 5-inch by 7-inch rectangular photo by multiplying the dimensions by 3. Find the area of the enlarged photo.
5 points
35 sq. in
315 sq. in
105 sq. in
210 sq. in
Answer:
315 sq. in
Step-by-step explanation:
15 * 21 = 315
7. Joey wants to find the area of the parallelogram below.
3.6 cm
3 cm
6 cm
Which equation can be used to find the area of the parallelogram?
A. 6(3.6) = 21.6 cm2
B. 2(3.6) + 2(6) = 19.2 cm2
C. 6(3) = 18 cm2
D. 6(3 + 3.6) = 39.6 cm2
Answer:
I'm not sure but I think it is b
Convert 10 °C to degrees Fahrenheit
Answer:
50ºF
Step-by-step explanation:
(10°C × 9/5) + 32 = 50°F
how long will it take you to ski a distance of 25 miles at a speed of 2.5 miles per 30 minutes
Answer:
62 .5 minutes or 1 hr, 2 min, and 24 sec.
Step-by-step explanation:
Answer:
300 mins or 5 hours
Step-by-step explanation:
ok so 25 divided by 2.5 equals 10
10 times 30 equals 300min
300 divided by 60 because thats one hour s which equals 5 hours
How much of a discount is 1/3 off an item is regularly $150.00?
Answer:
That means the item is now $50 off.
Step-by-step explanation:
150/3=50
So $150 - $50 = $100
Answer:
$50 discount
Step-by-step explanation:
If you take away 1/3 you're still left with 2/3 so you multiply the normal price (150) by 2/3 to get the discounted price and subtract the two number for the discount
Students performed a stair-climbing experiment to investigate the power output of the human body. Each student climbed the stairs in a sports stadium to different heights while another student used a stopwatch to time the climb. The body mass, time, and vertical height reached by four students is given in the table. (Estimate g as 10 m/s2.)Which two students generated the same amount of power?
Student mass(kg) Time Vertical Height(m)
Hiro 54 10 6.0
Brenda 54 15 9.0
Carmine 68 11 6.0
Brady 68 17 9.0
A. Brady
B. Brenda
C. Carmine
D. Hiro
Answer:
hiro and brenda
Step-by-step explanation:
Find the slope of the line below
Answer:
1
Step-by-step explanation:
Line is passing through the points (2, 2) & (6, 6)
Slope of line = (6 - 2)/(6 - 2) = 4/4 = 1
what is the proability of a blue jay being the next bird papa sees
Question
each morning papa notes the birds feeding on his birdfeeder. so far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal. What is the probability of a blue jay being the next bird papa sees?
Answer:
Probability is the chance of an event occuring. It is obtained by the formula number of outcomes / total number of possible outcomes. The probability of a blue jay being the next bird papa sees is given by number of blue jays / total number of birds = 59 / (59 +68 + 12 + 1) = 59 / 140 = 0.4214
i need help/ thank you!!
what´s 43+12*6=?
Answer:
43+12*6=115
..........
Pam has $60,000 in a savings account that earns 11% interest per year. The interest is not compounded. How much interest will she earn in 8 months?
Answer:
The amount of interest is $4,400
Step-by-step explanation:
To get the amount of interest, we use the simple interest formula
Mathematically;
I = PRT/100
I = interest
P is the amount deposited = $60,000
R is interest rate = 11%
t is time in years = 8/12 = 2/3
Substituting these values, we have
I = (60,000 * 11 * 2/3)/100
I = $4,400
Determine the distance between (−3,1)and (5,−6)
Round your answer to the nearest tenth. Show all of your work.
Answer:
10.6 units
Step-by-step explanation:
distance formula
= √((x2-x1)²+(y2-y1)²)
= √((5+3)²+(-6-1)²
= √(8²+(-7)²)
= √ (64+49)
= √113
= 10.6
what is the slope of a line perpendicular to the line whose equation is y=-2x+4. fully simply your answer
Answer:
1/2
Step-by-step explanation:
You should inverse the slope and multiply by -1
hey can you help me fast!!
Leah is sending out 32 party invitations. She gives 5 invitations to her Mom to give to family members. Leah mails a third of the rest. Write a numerical expression to describe how many invitations Leah has already mailed.
Answer:
9 of 32 invitations were mailed
fraction = 9/32
Decimal = this can be derived by dividing 9 by 32 = 0.28
Percentage = this can be derived by multiplying the decimal by 100 = 28%
Step-by-step explanation:
Number of invitations mailed = 1/3 x (total invitation - invitation mom delivered)
1/3 x (32 - 5)
1/3 x (27)
= 9
This figure can be expressed as a fraction
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.
The numerator is the number above. While the denominator is the number below
an example of a fraction = [tex]\frac{1}{2}[/tex]
1 is the numerator while 2 is the denominator
fraction = 9/32
Decimal = this can be derived by dividing 9 by 32 = 0.28
Percentage = this can be derived by multiplying the decimal by 100 = 28%
I need help with this problem! I'll give brainlist!
Step-by-step explanation:
use CAH method (Cos angle = adjacent/hypotenuse)
Given adjacent = 5
Hypotenuse = 12,
[tex] \cos(x) = \frac{adjacent}{hypotenuse} \\ \cos(x) = \frac{5}{12} \\ x = {cos}^{ - 1} ( \frac{5}{12} ) \\ = 65.4deg(nearest \: tenth)[/tex]
What is the answer? I will give brainliest if you are correct and no links or you will be reported
Answer: what is selected right now is correct.
Step-by-step explanation:
Answer:
The blue shaded section of the circle represents one sixth of the circle's area.
How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?
Answer:
369.7 mL of medication
Step-by-step explanation:
How many mL of medication are needed to last 10 days if the dose of medication is 2.5 tsp TID (three times a day)?
From the above question,
The dosage of the medication =
2.5 tsp 3 times a day
= 2.5 × 3 = 7.5 tsp per day.
Since
1 day = 7.5 tsp
10 days = x tsp
Cross Multiply
x = 10 × 7.5 tsp
x = 75 tsp of medication for 10 days.
Step 2
It is important to note that:
1 tsp = 4.929 mL
75 tsp = x mL
Cross Multiply
x = 75 × 4.929 mL
x = 369.669 mL of medication
Approximately = 369.7 mL of medication
g(x) = -3х (х^2– 36) (х – 6)
Find all real zeros of the function
Factor completely 3x - 12. (1 point)
O a
3(x-4)
ob
3(x + 4)
Ос
3x(-12)
Od
Prime
Answer:
3(x - 4)
Step-by-step explanation:
Given
3x - 12 ← factor out 3 from each term
= 3(x - 4)
Write and solve an equation to find the value of x and a missing angle in the triangle below.
Answer:
x = 27°, ∠JLK = 55°
Step-by-step explanation:
From the diagram in the question above,
The exterior angle of a triangle is equal to the sum of the two opposite side
3x+13 = 39+(2x+1)
3x+13 = 40+2x
collect like terms and solve for x
3x-2x = 40-13
x = 27°.
∠JKL = 2x+1
Substitute the value of x
∠JKL = 2(27)+1
∠JKL = 54+1
∠JKL = 55°
Please show our work.... I am not good at percentages
Kristin got 9 out of 12 questions correct on this test. What was her grade, as a percent?
7 + 34.5x = 8 1/4
find the value for x
and please hurry
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
(sorry if I'm wrong plz don't report)
Answer:
x=0.036232
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
34.5x+7=8.25
Step 2: Subtract 7 from both sides.
34.5x+7−7=8.25−7
34.5x=1.25
Step 3: Divide both sides by 34.5.
34.5x/34.5 = 1.25/34.5
x=0.036232