Answer:
Answer in order, 12,14, (4,3), x2, 4, 12, 3
Step-by-step explanation:
PLEASE MARK BRAINLIEST
19. Find 3 consecutive integers such that twice
the least integer is 12 more than the greatest
integer.
Answer:
et's start by defining the three consecutive integers.
.
If x represents the least of the three, then the next consecutive integer is x+1 and the
next consecutive integer is 1 more than that ... or x + 2
.
So the three consecutive integers are x, x+1, and x+2.
.
Twice the least integer is, as you correctly wrote, 2x.
.
12 more than the greatest integer is x+2 + 12 = x + 14
.
Since these two amounts must be equal, you can write:
.
2x = x + 14
.
Now you need to get rid of the x on the right side so that you end up with all the terms
containing x on one side of the equation and everything else on the other side. You can
get rid of the x on the right side by subtracting x from the right side. But if you subtract
something from the right side, you must also subtract it from the left side to keep the
equation in balance. So subtract x from both sides. When you do that, the x disappears
from the right side and the left side becomes 2x minus x which is just x.
.
So the equation is reduced to:
.
x = 14
.
If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the
three consecutive integers are 14, 15, and 16.
.
Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more
than the greatest integer which is 16? Yes it is, so the problem checks.
.
You were on the right track, but you just needed to know the difference in the three integers
was that they were x, x+1, and x+2. Hope this helps to show you how you could work the
problem through to get the final answer.
Step-by-step explanation:
Find the slope of each line in the figure.
Slope of p =
Slope of q =
Slope of r =
Slope of m =
Slope of n =
Answer:
slope of p= -7/12
slope of q= -3/6.8
slope of r= -16/6.4
slope of m= 6.2/15.5
slope of n= 6.8/17
Step-by-step explanation:
The slopes of the line are given as 2.5 for p and q and -2.5 for r, m and n respectively.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The slope of the given lines can be obtained as follows,
(a) In order to find slope of line p,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-3 - 8)/(0.4 - (-4))
⇒ m = -2.5
(b) In order to find slope of line q,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - 0)/(6.8 - 12)
⇒ m = -2.5
(c) In order to find slope of line r,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (13 - (-3))/(6.8 - 0.4)
⇒ m = 2.5
(d) In order to find slope of line m,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-15.5 - 0)/(0 - 6.2)
⇒ m = 2.5
(e) In order to find slope of line n,
Use the formula m = (x₂ - x₁)/(y₂ - y₁) and substitute the corresponding values to get,
m = (-5 - 12)/(- 6.8 - 0)
⇒ m = 2.5
Hence, the slopes of first two lines are 2.5 and of the remaining three are 2.5.
To know more about slope click on,
https://brainly.com/question/3605446
#SPJ2
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
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.
Cara deposited $200 dollars into her savings account bringing her balance up to $450. Which equation can be used to find, x, the savings account balance before the $200 deposit?
A x + 200 = 450
B x200=450
C x−200=450
D 200x = 450
Answer:
A. x + 200 = 450
Step-by-step explanation:
Since clara deposited $200 into her savings account and it brought her account up to $450, to find the answer you would add "x" with 200 and you should get 450 which means x= 250. we can check our answer by solving : 450-200 and you should get 250 for your answer so the answer is
A x + 200 = 450
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
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:
answer quickly plzzz
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
What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 36. Fully reduce your answer.
Answer:
Submit Answer
attempt 1 out of 2
9514 1404 393
Answer:
-1
Step-by-step explanation:
Solving the given equation for y, we have ...
x -y = 18
y = x - 18 . . . . . add y-18
The coefficient of x is 1. That is the slope of the given line. The desired perpendicular line will have a slope that is the negative reciprocal of this:
m = -1/1 = -1
The slope of the perpendicular line is -1.
__
The graph shows you that a line with slope -1 is perpendicular to the given line.
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction
Given:
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
To find:
The correct multiplication that can be used to check this division problem.
Solution:
We have,
[tex]\dfrac{2}{5}\div \dfrac{4}{15}=\dfrac{3}{2}[/tex]
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}=\dfrac{3}{2}[/tex]
Multiply both sides by [tex]\dfrac{4}{15}[/tex].
[tex]\dfrac{\dfrac{2}{5}}{\dfrac{4}{15}}\times \dfrac{4}{15}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
[tex]\dfrac{2}{5}=\dfrac{3}{2}\times \dfrac{4}{15}[/tex]
So, the required multiplication is [tex]\dfrac{3}{2}\times \dfrac{4}{15}[/tex].
Therefore, the correct option is B.
Answer:
Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction
Two-fifths times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 4 Over 15 EndFraction
Three-halves times StartFraction 15 Over 4 EndFraction
Five-halves times StartFraction 15 Over 4 EndFraction
Step-by-step explanation:
( B) AKA 3/2 x 4/15 . This is correct because I just took the test
The point 3/4 of the way from A(-4,- 7) to B(12, 5)
Answer:
The coordinates of C are (8,2)
Step-by-step explanation:
We are given the segment from A(-4,-7) to B(12,5) and it's required to find a point C(x,y) that is located at 3/4 of the distance from A to B.
This means that:
[tex]d_{AC}=3/4\cdot d_{AB}[/tex]
where dAC is the distance from A to C and dAB is the distance from A to B.
The same proportion of the distances is satisfied by the coordinates of the point C, that is:
[tex]\displaystyle x-x_A=\frac{3}{4}(x_B-x_A)[/tex]
Adding xA:
[tex]\displaystyle x=\frac{3}{4}(x_B-x_A)+x_A[/tex]
[tex]\displaystyle x=\frac{3x_B+x_A}{4}[/tex]
Similarily:
[tex]\displaystyle y=\frac{3y_B+y_A}{4}[/tex]
Calculating:
[tex]\displaystyle x=\frac{3(12)-4}{4}[/tex]
x = 8
[tex]\displaystyle y=\frac{3(5)-7}{4}[/tex]
y = 2
The coordinates of C are (8,2)
Mike is cutting bows out of ribbon which will be used to warp gifts. If mike needs 3 1/2 feet of ribbon to make a bow, and he has 14 feet of ribbon, then how many bows can mike make?
Answer:
Mike can make 4 bows
Step-by-step explanation:
Given
[tex]1\ bow = 3\frac{1}{2}\ ft[/tex]
[tex]Ribbon = 14\ ft[/tex]
Required
Determine the number of bows he can make
To do this, we simply divide the length of the ribbon by length of 1 bow:
i.e.
[tex]Number = Ribbon/1\ bow[/tex]
[tex]Number = 14\ ft/3\frac{1}{2}\ ft[/tex]
[tex]Number = 14/3\frac{1}{2}[/tex]
[tex]Number = 14/\frac{7}{2}[/tex]
Convert to *
[tex]Number = 14 * \frac{2}{7}[/tex]
[tex]Number = \frac{28}{7}[/tex]
[tex]Number = 4[/tex]
Hence, Mike can make 4 bows
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°
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:
PLEASE HELP!
In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?
Answer:
The answer is 2nd one
2nd pair of triangle is congruent by ASA(angle side angle)
Answer:
2nd option is correct.
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:
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
need this asap!!! will give brainliest and a thanks! :))
Answer:
The answer is A
Step-by-step explanation:
I am smart
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:
https://brainly.com/question/29775109
#SPJ2
The fraction 13/16 is closest to which benchmark?
zero
three-sixteenths
one-half
one
Answer:
♡ madeline here ♡
- 1 is your answer. ✿
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
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
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
Mr. Roberts plans to drive a total of 56 miles. He has 29 more miles to go. How many miles has he driven so far?
Answer: The answer is 27
Given:
Mr. Roberts will drive 56 milesHe has 29 more miles to goWe will:
Subtract the total distance he plants to travel by the amount he has left.
Equation: [tex]\mathrm {56 - 29 = 27}[/tex]
Our answer is 27. Best of Luck!
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 :
https://brainly.com/question/23827397
#SPJ6
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
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:
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:
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