9,2.5,-4,-10.5,-17
Let's find the difference between two consecutive terms
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
Answer:
The common difference between 9, 2.5, –4, –10.5, –17, ...
Is –6.5
Step-by-step explanation:
Because,
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?
Answer:
10
Step-by-step explanation:
set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10
Evaluate each expression.
2(5) + 3(4+ 3) =
Answer:
Step-by-step explanation:
10 + 3(7)
10 + 21
= 31
Answer:
31
Step-by-step explanation:
You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.
B- bracketsO- ofD- DivisionM- multiplicationA- additionS- subtraction2(5) + 3(4+3)
= 10 + 3(7)
= 10 + 21
=31
What is the value of p in the equation shown?
3
p =-0.027
Answer:
According to the question,
3p=-0.027
By transposing '3' to the RHS, we get
p=0.027/3
= p=-0.009
So in this question p=-0.009
6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
Approximate the value of the positive square root of 110 to the nearest hundredth
a.What is the length of A’A?
b.What is the length of B’B
Both in units
Answer:
A'A = 18 units, B'B = 9 units
Step-by-step explanation:
Δ ACB and Δ A'CB' are similar triangles, thus the ratios of corresponding sides are equal, that is
[tex]\frac{AC}{A'C}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , substitute values
[tex]\frac{AC}{12}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8AC = 240 ( divide both sides by 8 )
AC = 30
Thus A'A = AC - A'C = 30 - 12 = 18 units
--------------------------------------------------------------------
and
[tex]\frac{CB}{CB'}[/tex] = [tex]\frac{AB}{A'B'}[/tex] , that is
[tex]\frac{CB}{6}[/tex] = [tex]\frac{20}{8}[/tex] ( cross- multiply )
8CB = 120 ( divide both sides by 8 )
CB = 15
Thus
B'B = CB - CB' = 15 - 6 = 9 units
Janelle would like to give a party bag to every person who is coming to her party. The cost of the party bag is $7 per person. Write an inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags.
Answer: Inequality that describes the number of people P that she can invite if Janelle has No more than $95 dollars to spend on the party bags: 7P ≤ 95
Step-by-step explanation:
Given: The cost of the party bag is $7 per person.
P represents the number of people that she can invite.
Total cost for P people = ( cost per person) x (P)
=$ 7P (i)
If Janelle has No more than $95 dollars to spend on the party bags.
That means , Total cost ≤ $ 95
From (i)
7P ≤ 95 , which is the required inequality.
What is the measure of angle B?
A. 35°
B. 55°
C. 125°
D. 65°
Answer:
B.
Step-by-step explanation:
B.55
WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices
9p – 4 = 20
9p – 8 = 20
18p – 12 = 20
18p – 2 = 20
please help me, i don't understand this at all :(
1/2*x=3/4(x-2) what is the answer?
Answer:
x=6
Step-by-step explanation:
1/2x=3/4(x-2)
1/2x=3/4x-1.5 (distribute)
+1.5 +1.5
1/2x+1.5=3/4x
-1/2x -1/2x
1.5=1/4x
6=x
hope this helps
brainliest?
Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina com 1mx0,8m. Sabendo que ele recortou 2 triângulos, ambos com 20cm de base e 30 cm de altura, 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm. Determine em cm² quanto foi a área da cartolina que sobrou. * 1 ponto 7595cm² 0,7595m² 7190cm² 0.719m²
Answer:
7190 cm²
Step-by-step explanation:
Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina de 1 m x 0,8m.
Passo 1
Determine a área de todo o papelão
= Temos dimensões = 1mx0,8m
Área = Comprimento × Largura
= 0,8m²
Nós convertemos para cm²
1 m² = 10.000 cm²
0,8m² = x cm²
Multiplicação cruzada
0,8m² × 10.000 cm² / 1 m²
= 8000 cm²
Passo 2
Sabendo que recortou 2 triângulos, ambos com 20cm de base e 30cm de altura
Encontramos a área de um triângulo
= 1/2 × base × altura
= 1/2 × 20 × 30
= 300cm²
Ele cortou 2 triângulos Portanto, o são dos dois triângulos = 300cm² × 2
= 600cm²
etapa 3
Ele também cortou 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm.
A área de um trapézio =
1/2 (a + b) h
= 1/2 (10cm + 20cm) × 7cm
= 1/2 × 30 × 7
= 105 cm²
Ele cortou dois trapézios, portanto
A área dos dois trapézios do corte = 105cm² × 2
= 210 cm²
Passo 4
A área total do papelão que foi cortado = 600cm² + 210cm²
= 810 cm²
Etapa 5
Determine em cm² quanto de papelão sobrou.
Isso é calculado como:
Área total do papelão - Área total que foi cortada
= 8000 cm² - 810 cm²
= 7190 cm²
Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.
Answer:
For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms
Step-by-step explanation:
Here, we want to select which of the options must be present in order for factoring by grouping to apply.
The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms
What this mean is that we must have an equal ratio two times
This practically plays out each time we are to factorize quadratic expressions
For example, in the case of
x^2 -12x + 20
This can be written as;
x^2 - 10x - 2x + 20
which can then be written as x(x-10) -2(x -10)
= (x-2)(x-10)
The first two terms have a ratio of ;
x^2/-10x while the last two terms have a ratio -2x/20
Thus, we have -x/10 and -x/10
We can see here that the ratios of both sets are equivalent
Answer:
The ratio of the first two terms must be equivalent to the ratio of the last two terms
need these 3 problems answered
1.(2x-3)^2+24=0
2.(3x+1)^2-49=0
3.3x^2-12x=-45
Answer:
ummm ................
help pls . .. a a z z z z . zz
Answer:
the lines are perpendicular
Write the proportional equation that represents the table below.
solve for x
-30=5(x+1)
Answer:
-7
Step-by-step explanation:
help me!!!!!!! I need help
Answer:
the answer is 8
Step-by-step explanation:
BC
Answer:
8
Step-by-step explanation:
18-inches is 1.5 feet.
Given f(x) = -x + 3, solve for x when f(x) = 4.
Answer:
x=-1
Step-by-step explanation:
f(x)=f(x)
-x+3=4
Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10. 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145.
Answer:
D. He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
From the question: The following steps are given:
754 divided by 0.52.
754 = Dividend
0.52 = Divisor
Step 1
7540 ÷ 52
This is where he made his error,
He multiplied the divisor by 100 and the dividend by 10.
The correct step would be
To Multiply both the Divisor and the Dividend by 100
= 75400 ÷ 52
Option D is the correct option
Answer:
The answer is D
Step-by-step explanation:
Hope this helped! :)
12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes
height = 2.25 * box.
So, 14 boxes = 2.25 * 14 = 31.5.
4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.
Answer:
3x - 2y = - 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 2y = 12 ( subtract 3x from both sides )
- 2y = - 3x + 12 ( divide all terms by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form
Multiply through by 2
2y = 3x + 28 ( subtract 2y from both sides )
0 = 3x - 2y + 28 ( subtract 28 from both sides )
- 28 = 3x - 2y , that is
3x - 2y = - 28 ← equation in standard form
Math I need help 8th grade
Answer:
Part A x=60
Step-by-step explanation:
68+52= 120
180-120=60
So x=60
For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?
Answer: The estimated number of robins in the population is 550
Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:
1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;
2) After a period of time, catch another group and count the ones who have the mark;
3) Estimate the population using:
[tex]N=\frac{M*C}{R}[/tex]
where
N is the estimate of individuals in the population
M number of individuals marked
C is the total number of individuals captured the second time
R is the number of individuals with the mark recaptured
For the population of robins:
[tex]N=\frac{55*300}{30}[/tex]
[tex]N=\frac{16500}{30}[/tex]
N = 550
The best estimate for the robin population is 550.
Write the equation
“the quotient of a number and 2, increased by 9 is -15”
Use n as a variable and do not put any spaces
Answer:
[tex]\frac{n}{2}+9=-15[/tex]
I hope this helps!
Marge's plan costs .14 cents per minute plus a monthly fee of $24. Dan's plan costs .12 cents per minute plus a monthly fee of $28. How many minutes (m) are required for both plans to cost the same for the month?
Answer:
6 min for Marge's and 7 for Dan's plan
Step-by-step explanation:
0.14x6=0.84
0.12x7=0.84
A school has $15,000 to spend on computer monitors. The school plans to purchase 200 monitors for $89 each. A teacher completes the calculations below and concludes that the school has enough money to buy the monitors. 200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
Answer:
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
Step-by-step explanation:
The school plans to purchase 200 monitors for $89 each.
This is the calculation of the teacher
200 × 89 = (200 × 8) + (200 × 9) = 1,600 + 1,800 = 3,400
The teacher's calculation is wrong
The correct calculation using Distributive property is
a(b + c) = ab + ac
200 × 89 = 200(80) + 200(9)
Because 80 + 9 = 89
Hence,
200 × $89 = 16000 + 1800
= $17,800
Since the budget of the school is $15,000, the school does not have enough money to buy the monitors
$17, 800 ≠ $15,000
Guys pls answer this for me in a minute it is really hard
Which Is The Correct Classification And Decimal Expansion of 3/8
Answer:
3/8 = 0.375
Step-by-step explanation:
I used a calculator
A one year membership at the club costs $10. You pay an additional $1.25 each day you go.
Last year you spent a total of $45. How many days did you go?
Answer:36
Step-by-step explanation: