Answer:
44
Step-by-step explanation:
x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 294
Combine all like terms for x and integers
6x + 30 = 294
Minus 30 on both sides
6x = 264
Divide by 6
x = 44
Answer:
44Step-by-step explanation:
Let's name the 6 consecutive terms as
x, x + 2, x + 4, x + 6, x + 8 + x + 10We know that:
x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 294Solution:
x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 294=> 6x + 30 = 294=> 6x = 294 - 30=> 6x = 264=> x = 264/6=> x = 44Hence, the smallest number among the six consecutive numbers is 44.
Marie is designing a bedspread for her grandsons new bedroom. 2/3 of the bedspread is covered in race cars, and the rest is striped 2/4 of the stripes are red. What fraction of the bedspread is covered in red stripes?
Answer:
1/6
Step-by-step explanation:
2/3 of the bedspread is covered in race cars , therefore
1/3 of the bedspread is covered in stripes
2/4 of those 1/3 are red stripes
to find the fraction of the red stripes
2/4 x 1/3 = 2 / 12 = 1/6
Rewriting expressions using algebraic properties doesn't change the value of the expression or the relationship it describes.
PART 2. NO LINKS!
Answer:
see attached
Step-by-step explanation:
No doubt you have examples showing the wording that is expected to be used here. We have made a guess.
power of a ratio: the numerator is raised to the power, as is the denominator. (a/b)^c = (a^c)/(b^c)
power of a product: each factor is raised to the power. (ab)^c = (a^c)(b^c)
power of a power: the powers are multiplied. (a^b)^c = a^(bc)
quotient of powers: the result when one power is divided by another is the difference of the numerator and denominator powers. (a^b)/(a^c) = a^(b-c)
_____
Additional comment
The order of operations tells you to simplify inside parentheses first. Doing that reduces the work somewhat.
[tex]\left(\dfrac{-3x^3y}{x^2}\right)^4=(-3xy)^4=(-3)^4x^4y^4=81x^4y^4[/tex]
help me with this pls
Answer:
15
Step-by-step explanation:
** For some reason, it won't let me add the first sentence, as it thinks there are swearwords?? So I have taken a screenshot and attached it.**
Now we just have to solve to find [tex]C[/tex]
[tex]F'=F+1[/tex]
[tex]2C+30=\frac{9}{5} C+32+1[/tex]
[tex]\frac{1}{5} C=3[/tex]
[tex]C=15[/tex]
To confirm, substitute [tex]C = 15[/tex] into:
[tex]F=\frac{9}{5} \times 15 + 32 = 59[/tex]
[tex]F'=2 \times 15 + 30 = 60[/tex]
So when [tex]C=15[/tex], [tex]F'[/tex] is one more than [tex]F[/tex].
Which number is the greater?
-3/12 or -1
Answer:
-3/12
Step-by-step explanation:
In negative numbers, it's basically the opposite of regular numbers.
Let's explain negative numbers as debts. Let's say you owe a friend 1 dollar, and another 2 dollars. In a sense, you'll have -1 dollars, and -2 dollars. Which one is the greater number? It'll be -1 as you're only losing 1 dollar. Same goes here. Although 1 is a greater number than 3/12, in negative form it isn't.
to pass a math test, students must orrectly answer at least 0.6 of the questions Donald's schore is 5/8 karen's score is 0.88 gino's score is 3/5 sierra's score is 4/5 how many of the students passwd the test?
Answer:
If a passing score is equal to or greater than 0.6, then all four students passed the test.
Step-by-step explanation:
Answer:
A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?
Step-by-step explanation:
[tex]red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} oh yan na copy mona lng \red{ \rule{10pt}{99999pt}} \orange{ \rule{10pt}{99999pt}} \color{yellow}{ \rule{10pt}{99999pt}} \green{ \rule{10pt}{99999pt}} \blue{ \rule{10pt}{99999pt}} \purple{ \rule{10pt}{99999pt}} [/tex]
Find The Value Of x ~
[tex] \large \sf \: 4x = 16[/tex]
Thank You! :)
[tex]\qquad \qquad\huge \underline{\boxed{\rm Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 4x = 16[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 16 \div 4[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 4[/tex]
Hence, value of x is 4
The value of x from the expression is 4
Functions and expressionsEquations are expressions separated by an equal sign
Given the expression
4x = 16
We are to get the value of x
Divide both sides by 4
4x/4 = 16/4
x = 4
Hence the value of x from the expression is 4
learn more on expression here: https://brainly.com/question/2644832
Find the constant of proportionality. If the equation does not represent
a proportional relationship, select Not Proportional.
Y=x/6
The equation, y = x/6, represents a proportional relationship.
The constant of proportionality is 1/6.
Equation that Represents a Proportional RelationshipIf x and y are two variables that are related, a proportional relationship between them can be represented by the equation, y = kx, where k is the constant of proportionality.
Given:
y = x/6
y = 1/6x
This represents a proportional relationship.
The constant of proportionality will therefore be, 1/6.
Learn more about proportional relationship on:
https://brainly.com/question/15618632
I need the answer for this to
Answer:
56.42
Step-by-step explanation:
42 hundredths = 42/100 = 0.42
Therefore, 56 and 42 hundredths = 56 + 0.42 = 56.42
7
Write an equation of a line
with slope of 23 and
y-intercept -6.
Answer:
y = 23x - 6
Step-by-step explanation:
The formula for line is y = mx + b
m is the slope, so plug in 23
b is the y intercept, so plug in -6
So it would be y = 23x + (-6), which simpify into y = 23x - 6
x = 55, because 60 + 65 = 125 and 180 - 125 = 55
x = 125, because 180 - 160 +65) = 55 and 180 - 55 = 125
65
x = 305, because 60+ 65 = 125, and 125 + 180 = 305
x = 175, because 180-65 = 115 and 115 + 60 = 175
Answer: x= 55 because 60 + 65 =125 and 180 - 125 = 55
Step-by-step explanation:
The sum of three angles in any triangle is 180. Therefore you add the two angles that you have and use that number to subtract it by 180. Then you will have your answer. Also you can get the answer to y by subtracting the value of x from 180.
Aya and Sakura have now saved up their down payment to buy a home, but they still need to borrow to cover the rest. For the home they want this will require a mortgage of $450,000 to cover the remaining amount and they’re not sure whether they could afford the monthly loan payments. The bank has offered them a mortgage interest rate of 3.25%, compounded monthly .
How much would they have to be able to afford to pay each month in order to pay off their mortgage in 25 years?
What is the total amount that would be paid to the lender after 25 years of payments?
Using compound interest, it is found that:
The total amount that would be paid is of $1,012,978.The would have to afford to pay $3,376.6 each month.What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The mortgage is of $450,000, hence [tex]P = 450000[/tex].Over a period of 25 years, hence [tex]t = 25[/tex].The interest rate is of 3.25%, hence [tex]r = 0.0325[/tex].The amount is compounded monthly, hence [tex]n = 12[/tex].Then, the amount paid in 25 years is given by:
[tex]A(25) = 450000\left(1 + \frac{0.0325}{12}\right)^{12(25)} = 1012978[/tex]
The total amount that would be paid is of $1,012,978.
Considering 25 years of 12 months, the monthly amount paid is given by:
[tex]M = \frac{1012978}{25(12)} = 3376.6[/tex]
The would have to afford to pay $3,376.6 each month.
To learn more about compound interest, you can take a look at https://brainly.com/question/25781328
PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
Answer:
[tex]t \leq 25[/tex]
Step-by-step explanation:
[tex](\sqrt{2t+1}) ^{2} + (\sqrt{2t-1}) ^{2} \leq 10^{2}[/tex]
=> 2t +1 + 2t -1 [tex]\leq[/tex] 100
=> 4t [tex]\leq[/tex] 100
=> t [tex]\leq[/tex] 100/4
=> t [tex]\leq[/tex] 25
The blue Knight soccer team Is practicing kicking the soccer ball into the goal. To begin, each player attempts kicks for 2 minutes and then reports the fraction of goals they made. Brad 4/5, Alice 1/2, and Andre 4/6. Graph each fraction on a number line.
Answer:
the table of x and y values is shown in the attached
The table of x and y values is shown in the attached.
What is Graph?The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. Vertices (also known as nodes or points) make up a graph in this sense, which are connected by edges (also called links or lines).
Undirected graphs, in which edges connect two vertices symmetrically, are distinguished from directed graphs, in which edges connect two vertices asymmetrically.
a diagram that compares the fluctuation of one variable to that of one or more other variables, such as a collection of points, lines, line segments, curves, or areas: a grouping of all points whose coordinates meet a certain relation (such as a function).
Therefore, The table of x and y values is shown in the attached.
To learn more about Graph, refer to the link:
https://brainly.com/question/17267403
#SPJ2
That is a constant term or variable term that makes the equation have one solution
Solve the right triangle. Will give points!
Answer:
Angle f= 66
DE=10
Step-by-step explanation:
So first I think it's an isosceles triangle to 2 sides will have the same length.
For the angle I added 90 and 24 and subtracted them from 180.
What is the geometric mean of 2 and 6?
Answer:
[tex]geomtric \: mean = \sqrt{x \times y} \\ x = 2 \\ y = 6 \\ then \: gm = \sqrt{2 \times 6} = \sqrt{12} \\ = \sqrt{4 \times 3} = 2 \sqrt{3} \\ thank \: you[/tex]
Two buses leave towns 840 miles apart at the same time and travel toward each other. One bus travels 20 mi/h slower than the other. If they meet in 7 hours, what is the rate of each bus?
Answer: Thus you found the rate of the slower bus. It is 67 miles per hour.
Then the rate of the faster bus is 67 + 18 = 85 mph.
Step-by-step explanation:
Find the 8th term of the geometric sequence 7,28,112,...
Given that the sequence is gemoetric, you must find R.
R is equal to any given term divided by the term before it.
112/28 = 4
28/7 = 4
This sequence multiplies by 4 every time
I assume yall start at s1 not s0, so simply make an equation that multiplies by 4 every time that s increases
[tex]s(n) = 7*4^{n-1}[/tex]
plug in 8
[tex]s(8) = 7 * 4^{7} \\= 114,688[/tex]
Why could it be dangerous to try to “keep up with the Jones” help me out plsss
Answer:
The “Keeping up with the Joneses” syndrome can lead to obsessive spending behaviors that will create stress, worry, anxiety, and financial ruin. It can destroy the most ordinary individual you brush shoulders with or celebrities who eventually have to declare bankruptcy.
Step-by-step explanation:
what is 30% of 150 show the work
Answer:
30% of 150 is 45
Step-by-step explanation:
30% = .3 x 100
So take 30% out of its percentage form
then multiply .3 and 150
150 x 0.3 = 45
Henceforth, 30% of 150 is 45
:)
Explanation:
To find what is 30% of 150, we will need to write an equation. We will convert 30% into fraction form, then multiply 150 with the fraction. Once multiplied, we will get our result.
Solution:
30% = 30/100=> 30/100 x 150=> (30/50 × 2) × 3 × 50=> 15/50 × 3 × 50=> 15 × 3 => 45Final Answer:
30% of 150 is 45.
120x392=
i hope you get it
Answer:
47040
Step-by-step explanation:
Use long multiplication
Find the heart rates of you and your friend. Your heart rate is beats per second. Your friend's heart rate is beats per second. Question 2 Do these rates form a proportion? Explain. Yes, the rates have the same units. Yes, the rates are equivalent. No, the rates have values greater than 1. No, the rates are not equivalent.
Answer:
Your heart rate is 1.1 beats per second. Your friend's heart rate is 1.2 beats per second. Yes, the rates have the same rate (bps).
Step-by-step explanation:
Your heartbeat = 22:20 (can be reduced to 11:10) or 22/20 = 1.1 bps
Friend's heartbeat = 18:15 (can be reduced to 6:5) or 18/15= 1.2 bps
HOPE THIS HELPSFind the equation (in terms of x) of the line through the points (-1,-3) and (3,5)
y =
Answer:17/12
Step-by-step explanation:2/3 + 3/4 = 2 · 4/3 · 4 + 3 · 3/4 · 3 = 8/12 + 9/12
= 8 + 9/12= 17/12
Make a the subject of the formulae
5c = 3b(6a + 2)
Answer:
[tex]a = \frac{5c-6b}{18b}[/tex]
Step-by-step explanation:
[tex]5c = 3b(6a + 2)[/tex]
[tex]\frac{5c}{3b} = (6a + 2)[/tex]
[tex]\frac{5c}{3b}-2 = 6a[/tex]
[tex]\frac{5c-6b}{3b} = 6a[/tex]
[tex]\frac{5c-6b}{18b} = a[/tex]
Help pleasee!
Fill the blanks with these options
Alternate Interior Angle Theorem
Angle Congruence Postulate
Congruent
Corresponding Angle Postulate
Reflexive Property
Similar
Vertical Angle Theorem
Answer:
Corresponding Angle PostulateCorresponding Angle PostulateReflexive PropertySimilarStep-by-step explanation:
The pairs of angles referenced in statements 1 and 2 are "corresponding" angles, so the Corresponding Angle Postulate applies.
The Reflexive Property is what says something is the same as itself. This is used in statement 3.
The upshot of the AA Similarity postulate is to say triangles are similar (as in statement 4).
Marie had 20 Christmas balls to
decorate her Christmas tree. During
weekends she buys additional Christmas
balls (r). Express her total Christmas balls
in algebraic expression.
A. 20r
B. 20 + r
C. 20 - r
D. r - 20
Answer:
The answer is b since she buys some then buys some more so addition
Hope This Helps!!!
ASAPPP I NEED THE ANSWER The graph of a function is given.
Is the function linear or nonlinear?
Select from the drop-down menus to correctly complete this
statement
The function is “Choose” because it “choose” have a
constant rate of change.
Answer:
Linear.
Step-by-step explanation:
The function is linear because it has a constant rate of change.
The lengths of the sides of an equilateral triangle are 3(x + )cm, (5x +2y-1) cm and 5x +1 Cm Find the side length of the triangle.
Answer:
Correct option is A
Since it is an equilateral triangle, the lengths of the sides are equal
So, x+3 y=3 x+2 y−2=4 x+
2
1
y+1
x+3 y=3 x+2 y−2
y=2 x−2
2 x−y=2 ...(1)
Also, 4 x+
2
1
y+1=x+3 y
8 x+y+2=2 x+6 y
6 x+2=5 y
6 x−5 y=−2 ...(2)
Multiplying e q(1) by 5 we get,
10 x−5 y=10 ...(3)
Subtracting e q(2) from e q(3) we get,
4 x=12⇒x=3
y=2 x−2=4
The length of one side of equilateral triangle = x+3 y =3+3(4)=15 units
PLSSS SOLVE 2y-5=15 plss
Answer:
y = 10
Step-by-step explanation:
[tex]\huge\fcolorbox{gold}{purple}{Answer: }[/tex]
[tex]\bold{y=10}[/tex]Step-by-step explanation:
[tex]\bold{ 2y-5=15 }[/tex]
[tex] \longmapsto \: 2y = 15 + 5[/tex]
[tex] \longmapsto \: 15 + 5 = 20[/tex]
[tex] \longmapsto \: 2y ÷ 2 = y[/tex]
[tex] \longmapsto \: 20 ÷ 2 = 10[/tex]
[tex] \longmapsto [/tex] [tex]\bold{y=10}[/tex]
[tex]\huge\fcolorbox{gold}{purple}{Hope it helps, Have a great day ! }[/tex]
[tex]\bold{Study}[/tex][tex]\bold{Well}[/tex]~
[tex]\mathbb{ITZKIAEL} [/tex]
calculate the sum of 3+12+48+....(to the next 10 terms)
Answer:
The sum of the geometric series is 1048575
Step-by-step explanation:
[tex]S_n=\frac{a_1(r^n-1)}{r-1}\\ \\S_{10}=\frac{3(4^{10}-1)}{4-1}\\ \\S_{10}=\frac{3(1048576-1)}{3}\\ \\S_{10}=1048575[/tex]
