Answer:
The two number are :
x = 1411
y = 1079
Step-by-step explanation:
Let the two numbers = x and y
The sum of two numbers is 2490
x + y = 2490..... Equation 1
If 6.5 percent of one no. is equal to 8.5 percent of the other,
Hence:
6.5% of x = 8.5% of y
0.065x = 0.085y
Make x the subject of the Formula
x = 0.085y/0.065
x = 1.308y
We substitute 1.308y for x Equation 1
x + y = 2490..... Equation 1
1.308y + y = 2490
2.308y = 2490
y = 2490/2.308
y = 1078.8561525
y = 1079
x + y = 2490..... Equation 1
x = 2490 - y
x = 2490 - 1079
x = 1411
Plz help me answer this
Answer:
(-2, -8)
x = -2
y = -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
13x - 6y = 22
x = y + 6
Step 2: Solve for y
Substitution
Substitute in x: 13(y + 6) - 6y = 22Distribute 13: 13y + 78 - 6y = 22Combine like terms: 7y + 78 = 22Isolate y term: 7y = -56Isolate y: y = -8Step 3: Solve for x
Define original equation: x = y + 6Substitute in y: x = -8 + 6Add: x = -2Can someone please help me with solving this maths question?
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
Hello I don't know what I'm doing can someone please help.
I don't know how to solve a standard form slope equation can you please explain what I have to do.
The slope of the line 5x + y = 15 is___
Answer:
x = -1/5y +3
Step-by-step explanation:
add -y to both sides
5x + y + -y = 15 + -y
5x = -y + 15
step 2 divide both sides by 5
5x/5 = -y +15/5
x= -1/5 y +3
Answer
x= -1/5 y + 3
if you are sitting in a room with ten people and 39% of them leave how many people would be left?
Answer:
69
Step-by-step explanation:
yes
Answer:
Step-by-step explanation
4-6 people left in the room
✨✨Hope it helps✨✨
Brainliest?.
Write the following in standard form.
Answer:
[tex]\huge\boxed{3x+y=23}[/tex]
Step-by-step explanation:
First off, let's note that when given a slope and a point, we will write our equation in the form [tex]ax+by=c[/tex], where a is the slope and c is the y-intercept.
Since we know the slope, but not the y-intercept, we can start to fill in what we already know.
[tex]3x+y=c[/tex]
Therefore to finish this equation, we must find the y-intercept.
Since we know that the point (7, 2) runs through this line, we can plug it into our formula ([tex]3x+y=c[/tex]) to find the y-intercept, b.
2 is the y, 7 is the x, -3 is the slope, so we can plug it into the equation to find b.
[tex]3(7) + 2 = c[/tex] [tex]21+2=c[/tex] [tex]23 = c[/tex]This means that the y-intercept for our graph is 23. Now that we know this, we can plug it into our equation ([tex]3x+y=c[/tex]) as b and finish up the equation for the line.
[tex]3x+y=23[/tex]
Hope this helped!
88 x 88/22 x 11 x 11
Answer:
42592
Step-by-step explanation:
Answer:42592
Step-by-step explanation: So what you do is do 88 times 88/22 and so on :)
What is the slope of this line?
Points on this line include (1,3) (2,6) and (3,9). Number only. Just write the slope in simplest form.
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
What is the measure of angle 1
Answer: 100
Step-by-step explanation:
It is an alternate interior angle.
the table below shoes the rates for two duplicating companies. quick copy copy place initial fee of $5.00 initial fee of $10.00 $0.06 per page $0.04 per page the total cost, c, is dependent on the number of pages, p, that are duplicated. which of these systems of equations represents this situation? p = 5 + 6c p = 10 + 4c ⊝ c = 5 + 6p c = 10 + 4p ⊝ p = 5 + 0.06c p = 10 + 0.04c ⊝ c = 5 + 0.06p c = 10 + 0.04p
Answer:
:
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The system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the rates for two duplicating companies. There are two different rates as-
[1] > initial fee of $5 and $0.06 per page.
[2] > initial fee of $10.00 and $0.04 per page.
For the [1] company, we can write the equation as -
C[1] = 5 + 0.06x
For the [2] company, we can write the equation as -
C[2] = 10 + 0.04x
So, the system of equations will be -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
Therefore, the system of equations representing the rates for two duplicating companies are -
C[1] = 5 + 0.06x
C[2] = 10 + 0.04x
To solve more questions on equation modelling, visit the link below-
brainly.com/question/9144182
#SPJ2
is this proportional relationship? please help!!
Answer:
yes, the slope is the same throughout the table
Step-by-step explanation:
Answer:
Yes, the graph shown is a proportional relationship.
Step-by-step explanation:
If you divide the distance (6) by the time (1) you get the same thing (6). Repeat for all the terms in the graphs. Since 6/1 is 6, 12/2 is 6, 18/3 is 6 and 24/4 is 6, The relationship is proportional.
I NEED HELP NOW PLEASE
Which decimal represents the portion that is NOT shaded?
0.003
0.03
0.3
3.0
Write how u solved it
Answer:
0.3
Step-by-step explanation:
Answer:
3.0
Step-by-step explanation:
Here we have a rectangle split into ten parts with 7/10 shaded in blue. The question asks what decimal represents the portion, alright, let's go down the list.
0.003 is also known as 3 thousandths, meaning that we would need a thousand little squares as our figure. Clearly this isn't the case, so 0.003 is wrong.
0.03 is also known as 3 hundredths, meaning that we would need a hundred little squares as our figure, this also isn't the case, so 0.03 is wrong.
0.3 is known as 3 tenths, yes this could represent our figure, but it doesn't represent the finished portion, which would be 1.0, this means that only one part will be shaded in the figure we have now, leaving it to be wrong.
This leaves us with 3.0
4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
1 Find the area of the Circle below: Чcm
Answer:
A≈50.27
Or 16π
Step-by-step explanation:
Answer:
50.24cm
Step-by-step explanation:
Solve (v +3) - 44 = 0, where v is a real number.
Answer: V = 41
Explanation in the photo below
Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8
A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_
Answer:
A. -4< n<8 B.-4< n< 8
Step-by-step explanation:
Answer:
D.-4<n<8
Step-by-step explanation:
A(x) = 2 (3x - 2)(x - 5)
Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years
Answer:
63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
21x3=63
Find all solutions of
- 2r +4-8=0
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide
If y by itself what does that means?
[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]
The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x
Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1
Perimeter of a rectangle = 2(length + breadth)
50 = 2(2x + 1 + x)
50 = 2(3x + 1)
50 = 6x + 2
6x = 50 - 2
6x = 48
x = 48/6
x= 8
Width = 8ft
Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft
Area = Length × Width = 17 × 8 = 136ft^2
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
Identify the correct definition of the term. Angle
Answer:
In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.
Step-by-step explanation:
I'm very confused, I don't know where to even start! Please help me!!
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find width of the rectangle, BD:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = BD
Adjacent = 7 cm
Plug in the values
[tex] \sqrt{3} = \frac{BD}{7} [/tex]
Multiply both sides by 7
[tex] 7\sqrt{3} = BD [/tex]
[tex] BD = 7\sqrt{3} [/tex]
✔️Using trigonometric ratio, find height of the rectangle, BF:
Thus:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Where,
[tex] tan(\theta) = tan(60) = \sqrt{3} [/tex]
Opposite = 6 cm
Adjacent = BF
Plug in the values
[tex] \sqrt{3} = \frac{6}{BF} [/tex]
[tex] BF = \frac{6}{\sqrt{3}} [/tex]
Rationalize
[tex] BF = \frac{6 \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}} [/tex]
[tex] BF = \frac{6\sqrt{3}}{3} [/tex]
[tex] BF = 2\sqrt{3} [/tex]
✔️Perimeter of rectangle BDEF:
Perimeter = 2(BD + BF)
Plug in the values
[tex] Perimeter = 2(7\sqrt{3} + 2\sqrt{3}) [/tex]
[tex] Perimeter = 2(9\sqrt{3}) [/tex]
[tex] Perimeter = 18\sqrt{3} [/tex]
✔️Area of the rectangle BDEF:
Area = BD × BF
Plug in the values
[tex] Area = 7\sqrt{3} \times 2\sqrt{3} [/tex]
[tex] Area = 7 \times 2\sqrt{3 \times 3} [/tex]
[tex] Area = 14 \times 3 [/tex]
[tex] Area = 42 [/tex]
can some one help me on this and thank u
Answer:
2<x<3
Step-by-step explanation:
the first one
Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti's hourly wage?
Answer:
18%
Step-by-step explanation:
Subtract $10.50 from $12.30 and you will get 1.8.
Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.
Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?
Answer:
12 staples
Step-by-step explanation:
So the first thing we have to do is find the G.C.D (Greatest Common Denominator) between 21/4 and 7/16 which of course is 16 so your new fractions would be 84/16 and 7/16.
Now we have to divide both numbers I just used a fraction calculator for this but basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.
So it would take 12 staples to bind the booklet
Anna has more money than Betty. If Anna gave Betty $200, then they would have the same amount of money. While if Betty gave Anna $220, Anna would then have twice as much as Betty. Calculate the amount of money each girl has using the substitution method
Answer:
Anna has $1460
Betty has $1060
Step-by-step explanation:
let Anna's money be x
and Betty's money be y
If Anna gave Betty $200, then they would have the same amount of money
Anna's money will reduce by 200
x=x-200
Betty's money will increase by 200
y= y+200
if they have the same amount of money, the difference will be zero
x-200=y+200
x-200-y-200=0
x-y-400=0
x-y=400--------------1
this means that Anna has $400 more than Betty
if Betty gave Anna $220, Anna would then have twice as much as Betty.
Betty's money will reduce by 220
y=y-220
Anna's money will increase by 220
x=x+220
Anna's money will double that of Betty's
x+220=2(y-220)
x+220= 2y-440
x=2y-440-220
x=2y-660--------------------2
put x= 2y-660 in eqn 1
(2y-660)-y=400-------------------------1
2y-y=400+660
y= 1060
so Betty has $1060
put y= 1060 in eqn 1
x-y=400
x-1060=400
x=400+1060
x=1460
so Anna has $1460
The distribution of height of adult american women is approximately normal with a mean of 65.5 inches and a standard deviation of 2.5 inches what percentage of women are taller than 70.5 inches?
Answer:
2.275%
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)SD
here, x = 70.5
mean = 65.5
SD = 2.5
Substituting these values;
z = (70.5-65.5)/2.5
= 5/2.5 = 2
So we want to calculate the probability that;
P( z> 2)
We check the standard normal distribution table for this
That will be
0.02275
In percentage, this is 2.275 %