Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of
his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be
represented by the equation below, where s represents his total sales, in dollars, for
the week.
$300 + $0.07s = $426
How many dollars worth of merchandise did Mr. Randall sell last week?
Answer:
-3
Step-by-step explanation:
Based on his weekly salary and commission, we can calculate that Mr. Randall sold goods worth $1,800.
In the formula given, sales is represented as s. To find the total sales, you can solve the equation:
300 + 0.07s = 426
0.07s = 426 - 300
s = 126 / 0.07
= $1,800
In conclusion, Mr. Randall sold $1,800 worth of goods.
Find out more at https://brainly.com/question/19297414.
answer quickly plzzz
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x?
A. Subtract 1 from both sides to combine like terms
B. Add 4x to both sides to isolate the variable
C. Distribute the 6 to eliminate the parentheses
D. Combine 4x and -5 to simplify the problem
Answer:
C.
Step-by-step explanation:
c is the only one that even makes sense
C. Distribute 6 to eliminate the parentheses.
What are some rules to solve an equation ?To solve an equation we follow BODMAS rule which stands for first solving which are inside brackets then we divide terms to each other if division is given.Then we multiply terms if multiplication is given.Next step we add terms if given.In last we do subtraction if it is in the given expression.If any of these operations are not given we just skip and do the next operation according to the BODMAS rule.
According to the given question
Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5.
6( 2x + 1 ) - 3 = 4x - 5
12x + 6 - 3 = 4x - 5
12x + 3 = 4x - 5
12x - 4x = - 5 - 3
8x = - 8
x = -8/8
x = -1
Learn more about BODMAS rule here :
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What is the quotient?
-4/5 *2
HELP PLEASE
Answer:
The answer is 4/25 or 0.16.
Step-by-step explanation:
If the astrick is meant for a square root, then yes that is the answer.
Find the value of x. Then find the measure of each labeled angle
Answer:
x = 111°
x° = 111°
(x-42)° = 69°
Step-by-step explanation:
Any polygon with *n* number of sides has an interior angle sum of (n-2) × 180°.
Therefore this right trapezoid must have an interior angle sum of 360° because
a trapezoid has 4 sides → n = 4 →
(n-2) × 180° = (4-2) × 180° = 2 × 180° = 360°
Because we are given a 90 degree angle with a set of parallel sides, the angle above that must also be a right angles well so these will total 180°.
The last two angles are given by the two expressions x°, and (x-42)°. Because we know the sum of these angles which are 360° we can create the following equation from these angles and solve!
180° + 2x - 42° = 360°
(Group the constants / numbers without a variable ; associative property of addition)
180° - 42° + 2x = 360°
(Find the total value of the constants)
138° + 2x = 360°
(subtract 138° from both sides to isolate 2x on the left side ; subtraction property of equality)
138° - 138° + 2x = 360° - 138°
(Work out the value of the constants again)
2x = 222°
(divide by 2 on both sides to cancel out the coefficient of 2 in 2x to get x by itself ; division property of equality)
2x / 2 = 222° / 2
(Simplify the two expressions)
x = 111°
_____________________
To find the measure of the x expressions, just substitute x = 111° into the expressions and simplify to find the measure!
So:
x = 111° → x° = 111°
x = 111° → (x-42)° → (111 - 42)° = (69)° →
(x-42)° = 69°
Write a fraction, a decimal and a percent for: one-sixth
Answer:
fraction:1/6 decimal:0.166666 repeated percent:16.6 repeated
Step-by-step explanation:
Answer:
1/6,0.16,16.60
Step-by-step explanation: please mark me brainlist
Cuál es la expresión equivalente a (x + 3)
Answer:
correspond with the domain.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
Step-by-step explanation:
When the machine is active for 7 hours, 2,450 buttons are manufactured. How many hours would the machine need to be active in order to manufacture 5,250 buttons?
Answer:
350 x 15 = 5250, or in Other words it takes 15 hours to for 5250 buttons to be manufactured.
Step-by-step explanation:
Can somebody plz answer these 3 questions correct!!! Help
(WILL MARK BRAINLIEST
it increases 3° each hour
3*2= 6
6° after 2 hours
3*3= 9
9° after 3 hours
3*6= 18
18° after 6 hours
What is 3/4 divided 5/16 in its simplest form?
Step-by-step explanation:
3/4÷5/16
3/4×16/5
=12/5(2 2/5)
(3/4) divided by (5/16) in its simplest form is 12/5.
To divide two fractions, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, to divide (3/4) by (5/16), you can multiply (3/4) by the reciprocal of (5/16):
(3/4) ÷ (5/16) = (3/4) * (16/5)
Now, multiply the numerators and denominators:
Numerator: 3 * 16 = 48
Denominator: 4 * 5 = 20
3/4) ÷ (5/16) = 48/20
To simplify this fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and then divide both by the GCD:
GCD of 48 and 20 is 4.
(48/4) ÷ (20/4) = 12/5.
To know more about simplest form:
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what is the
507
If the probability that a person will die in the next year is
507/100,000 what is the
probability that the person will not die in the next year?
A. 99493
B. 99%
C. 0.99493
D. 0.99507
Answer:
C. 0.99493
Step-by-step explanation:
Hope this helps!
The probability that the person will not die in the next year should be considered as the 0.00943.
Calculation of the probability:Since
the probability that a person will die in the next year is 507/100,000
So, it can be like
[tex]= (100,000 - 507) \div 100,000[/tex]
= 0.99493
hence, The probability that the person will not die in the next year should be considered as the 0.00943.
Learn more about probability here: https://brainly.com/question/16096170
Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?
Answer:
$24Step-by-step explanation:
Step one:
given data
we are told that she earned $3 every 20minute for gutter cleanup
and for mow, she earns $3.6 every 20 minutes.
Step two;
1. For a 40 minutes gutter cleanup she will make
=3*40/20
=3*2
=$6
1. For a 2 hours mow she will make
2 hours is 120 minutes
=3.6*120/20
=3*6
=$18
So in total she earned 6+18= $24
Pencils cost 25 cents apiece. Rulers cost 80 cents
apiece. Susan spent $20 for a total of 36 rulers and
pencils. How many pencils did she buy?
Answer:
She bought 16 pencils
Segment AB is the diameter of circle M. The coordinates of A are (-3, 8). The coordinates of M are (1,6). What are the coordinates of B?
1)(-7,10)
2)(5,4)
3)(-1,7)
4)(-2,1)
explanation/work needed :(
Answer:
b
Step-by-step explanation:
I need help please.
What are the answers at least for the first one. Please help.
Answer:
1. 0 weeks
2.$50 in savings
3.8 weeks
4. $90 in savings
Step-by-step explanation:
3. A student wrote a book which she plans to sell online for $13 per copy. Her total expenses were $85. Which function can be used to find the profit in dollars, d, when the student sells C, copies of the book?
Answer:
Her profit in dollars is;
d = 13c - 85
Step-by-step explanation:
Mathematically,
profit = sales - cost price
She sells at $13 per copy
so for c copies, total sales amount will be 13 * c= $13c
So the profit d in dollars will be;
d = 13c - 85
Cada semana de los últimos 3 años Lucía ha hecho 120 km en bicicleta y cada mes 100 km corriendo y 15 km nadando. Debe cambiar la bicicleta cada 20.000 km. ¿Tiene que cambiarla ya?
Answer:
Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.
Step-by-step explanation:
Para determinar la respuesta tienes que encontrar la cantidad de km que Lucía ha hecho en 3 años multiplicando los 120 km que hace a la semana por la cantidad de semanas que hay en 3 años. Para determinar las semanas, tienes que considerar que en 1 año hay 52 semanas:
Semanas=52*3= 156 semanas
120*156=18,720 km
De acuerdo a esto, la respuesta es que Lucía no tiene que cambiar ya la bicicleta porque ha recorrido 18,720 km.
Which of the following inequalities is graphed on the coordinate plane?
A:y ≥ -2x + 1
b:y≥ -2x+1
c:y ≤ -2x + 1
d: y≤ -2x + 1
Answer:
a
Step-by-step explanation:
Jo's mother, Anne, is four times as old as Jo. In four years time, Anne will be three times as old as Jo. How old is Jo? (this is an easier version of a riddle we'll do in AP CS)
Answer:
Jo's age = x = 8 years
Step-by-step explanation:
Let
Jo's age = x
Jo's mother, Anne's age = 4x
In four years time, Anne will be three times as old as Jo.
Jo's age =3( x + 4)
Jo's mother, Anne's age = 4x + 4
How old is Jo?
Equate Jo's age and his mother's age
3(x + 4) = 4x + 4
3x + 12 = 4x + 4
3x - 4x = 4 - 12
-x = - 8
Divide both sides by -1
x = 8
Therefore,
Jo's age = x = 8 years
7. Consider the equation x/3+ 7 = 13.
Part A: Write an equivalent equation using the multiplication property of
equality.
Part B: What properties will you use next to solve the equations?
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
i know it
Two parallel lines are crossed by a traversal. What is the value of h?
h=60
h=80
h=100
h=120
Answer:
h=60
Step-by-step explanation:
The angle that is 120 degrees and the angle that is h degrees are called same side interior angles
Same side interior angles are supplementary, meaning that they add to 180 degrees
To find h we can use Measures addition postulate to find the unknown value h
h+120=180
h=60
In a survey of 2,000 people who owned a certain type of car, 900 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
45%
Step-by-step explanation:
900/2,000 = 45
will put brainliest plzzzzzz help 2+2+3+8+6+7+4times2
Answer:
uh 36
Step-by-step explanation:
did you really need this answer or did u just felt like giving away points
23=-8y-7+2y
Y=???????????
Answer:
y= -5
Step-by-step explanation:
Answer:
y=-5
Step-by-step explanation:
23=-8y-7+2y
23=-6y-7
23+7=-6y-7+7
30=-6y
To find Y divide both sides by-6.
30/-6=-6y÷-6
-5=y
PLEASE HELP !! THANK YOU AND ILL GIVE 10 POINTS PLUS BRAINLIEST !! CORRECT ANSWERS ONLY PLEASE !!
PLZ HELP OMG!! I’ll mark Brainliest to whoever gives correct answer first!!!
Answer:
Step-by-step explanatioThe chosen topic is not meant for use with this type of problem. Try the examples below.
2
(
x
2
−
1
)
=
16
,
(
0
,
4
)
8
=
2
(
3
x
+
3
)
2
,
(
−
1
,
3
)
x
(
x
+
4
)
=
24
,
(
−
2
,
9
)
n:
need this asap!!! will give brainliest and a thanks! :))
Answer:
The answer is A
Step-by-step explanation:
I am smart
Select the correct answer.
Which pair of statements correctly compares the two data sets?
А.The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answer: B?
Step-by-step explanation:
Answer:
Go for B
Step-by-step explanation:
9x-4y=17 for y
answer it for me plz
Answer:
9x-4y=17
-4y=-9x+17
y=9/4x+17
Step-by-step explanation:
Which of these expressions shows like terms?
Your answer:
3x +3y
2x +2x^2
2x+3x
2x^2 +3y^2
Please help! Need Now!
Answer:
C
Step-by-step explanation:
2x+3x Have the same variable. Therefore they both have like terms