Answers
Answer:
12.9 - 22.7b
Step-by-step explanation
Given the expression 4.3(3-5b) = 1.2b
Open the bracket
4.3(3-5b) = 1.2b
4.3(3)-(4.3)(5b) = 1.2b
12.9 - 21.5b = 1.2b
12.9 - 21.5b - 1.2b
12.9 - (21.5+1.2)b
12.9 - 22.7b
Hence the required expression is 12.9 - 22.7b
Related Questions
Which mapping diagram represents a relationship that is a function?
Mapping A
Mapping B
3
7
O Mapping A
O Mapping B
O both Mapping A and Mapping B
Answers
Answer:
Mapping A
Step-by-step explanation:
From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t where t is the number of years since 1997.
Answers
Question
a) What is the decay factor?
b) What is the percent decrease?
c) Estimate the number of black and white TV's sold in 1999.
Answer:
a. Decay factor = 0.85
b. Percent decrease = 15%
c. 19.363 million TVs were sold
Step-by-step explanation:
Given
[tex]n = 26.8(0.85)^t[/tex]
Solving (a): The decay factor
An exponential function has the form
[tex]y = ab^x[/tex]
Where b is:
[tex]b = decay\ factor\ or\ growth\ factor[/tex]
By comparison:
[tex]b = 0.85[/tex]
Solving (b): Percentage decrease:
Percentage decrease P is calculated as follows:
[tex]P = 1 - b[/tex]
Substitute 0.85 for b
[tex]P = 1 - 0.85[/tex]
[tex]P = 0.15[/tex]
Convert to percentage
[tex]P = 0.15*100\%[/tex]
[tex]P = 15\%[/tex]
Solving (c): TVs sold in 1999
First, we need to determine the value of t for 1999
In 1997, t= 0
In 1998, t= 1
In 1999, t= 2
So, we substitute 2 for t in: [tex]n = 26.8(0.85)^t[/tex]
[tex]n = 26.8(0.85)^2[/tex]
[tex]n = 26.8*0.7225[/tex]
[tex]n = 19.363[/tex]
A family of 2 adults and 3 children went to a movie. The tickets cost $8 for adults and $5 for children. They also bought 3 sodas for 1.99 and a large bucket of popcorn for 5.99. How much money did the family spend on their outing to the movies total.
Total for all the movie tickets:
Total for the sodas:
Total spent on the evening:
Answers
Answer:
Total for all the movie tickets:$31
Total for the sodas:$5.97
Total spent on the evening:$42.96
I NEED HELP PLEAZE!!!!!!!!!!!!!!!! =(
Answers
Answer:
x[tex]\sqrt{6y}[/tex]/ 3[tex]y^{2}[/tex]
Step-by-step explanation:
Juan deposits $1,500 into a savings account that pays 4.5% interest compounded annually. If Juan makes no deposits or withdrawals, how much money will be in his savings account after 3 years?
Answers
Answer:
$1711.5
Step-by-step explanation:
Step one
given data
Principal = $1500
interest rate= 4.5% = 0.045
time = 3 years
Step two:
The compound interest expression is
[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]
Let u=-4i-5j and v=3i-6j
Answers
m∠1=(3x+8)°, m∠2=(3x+18)°, and m∠3=(7x+9)°. What is m∠3?
Answers
Answer:
87.4°
Step-by-step explanation:
(3x + 8) + (3x + 18) + (7x + 9) = 180
3x + 8 + 3x + 18 + 7x + 9 = 180
add the common numbers
13x + 35 = 180
subtract 35
13x = 145
divide 13
x = 11.2
then plug it back in to m<3
7(11.2) + 9
78.4 + 9
= 87.4°
PLEASE HELP AND QUICK WILL GIVE THANKS
Answers
Answer:
15.012
Step-by-step explanation:
tan(theta) = opposite/adjacent
tan65 = x/7
x = 7tan65
x = 15.012
hope this helped!
15.012
Pls mark me brainless answer
I NEED help with this !!! Can someone help me ??? (Probability Models)
Answers
Answer:
2610/10730
2610/10730 = 0.24324324
0.24324324 X 100 = 24.324324
24%
A side of the triangle below has been extended to form an exterior angle of 164". Find
the value of x.
1649
Answers
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
[tex]x^\circ+53^\circ=164^\circ[/tex]
[tex]x^\circ=164^\circ-53^\circ[/tex]
[tex]x^\circ=111^\circ[/tex]
[tex]x=111[/tex]
Therefore, the value of x is 111.
Find the slope of the line through (9, 4) and (0, 5).
Answers
Answer:
It's just y2-y1 over x2-x1
Step-by-step explanation:
so pick a coordinate and make it 1 and make the other one 2 and put in the numbers.
The slope of the line will be m = -1/9.
What is the general equation of a Straight line?The general equation of a straight line is -y = mx + c
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis
Other possible equations of line are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line through (9, 4) and (0, 5).
The slope of the line will be -
[m] = (4 - 5)/(9 - 0)
[m] = - 1/9
Therefore, the slope of the line will be m = -1/9.
To solve more questions on straight line, visit the link below-
brainly.com/question/20400984
#SPJ2
And I also don’t know how to do this.
Answers
C is the answer because i did this and it not that hard if you let the teacher explain to u
PLZ HELP ASAP ASAP PLZ PLZ PLZ
Answers
Answer: $12
Step-by-step explanation: Divide $48 by 4
I need help with this question...
Answers
Answer:15
Step-by-step explanation:
since we are solving for y, we want to isolate y on one side.
6x+6=5y+10
-10 -10
6x-4=5y
divide both sides by 5
6/5x-4/5=y
4.) Karl started his day with $17 in his wallet. He spent
$5.24 for lunch and $10.65 on a book. How much money
does he have left? (Show your work)
Answers
Answer:
1.11
Step-by-step explanation:
5.24+10.65=15.89
17-15.89= 1.11
good luck
Answer:
1.11
Step-by-step explanation:
hope this helped you! :)
find the measure of the missing angles
Answers
Answer:
b=80
c=80
Step-by-step explanation:
the angle opposite to the 100 degree angle is congruent to it
same goes for b and c
so far we have 2 angles that measure 100 degrees 100+100=200
the sum of the 4 angles is 360
360-200=160
160/2=80=b=c
because of where 100 is you can make a line where b and c are. a straight line is 180 so you subtract from 100 to get 80
a ladder leans against the side of a house. The angle of elevation of the ladder is 72 degrees, and the top of the ladder is 13 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
I do not know math to save my life.
Answers
Answer:
The distance measure is 4.2 ft
Step-by-step explanation:
Here, we want to get the distance from the bottom of the ladder to the side of the house
To get this, we can see that what we have is a right-angled triangle
We need to apply the appropriate trigonometric identity to get the value of what we want
Let us call the measure we want to calculate x
Mathematically;
Tan 72 = 13/x
x = 13/tan 72
x = 4.2 ft
I need helpn asap , i been on this for the longest
Answers
Answer:
12,180g
Step-by-step explanation:
3x7=21
21x580g=12,180g
she used 580 grams each day for each day of the week. so first do 580 X 7 =4060. then multiply 4060 by 3 because it was for three weeks. you then have 12180 grams. to go from grams to kilograms you need to divide the grams by 1000. so 12180/1000=12.18 :) i hope this helped
Which scales are equivalent to 1 inch to 1 foot? Select all that apply.
Group of answer choices
A. 1 to 12
B. (1/12) to 1
C. 100 to 0.12
D. 5 to 60
E. 36 to 3
F. 9 to 108
I NEED HELP ASAP.
Answers
PLEASE DON'T JUST WRITE AN ANSWER!!! I WOULD REALLY APPRECIATE A STEP BY STEP EXPLANATION SO I CAN UNDERSTAND IT MYSELF :)) <3
I've gotten this problem wrong three times and can't seem to figure out what I'm doing wrong :(
Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94.
Could someone please walk me through the process of writing two systems of equations that represents the number of each type of pie????
Let x = cost of each apple pie; y = cost of each lemon meringue pie.
Thank you thank you so so much!
Answers
Step-by-step explanation:
Since Castel sold 6 apple pies and 4 lemon meringue pies for $80, we have 6x + 4y = $80.
Also Gabriella sold 6 apple pies and 5 lemon meringue pies for $94, we have 6x + 5y = $94.
6x + 5y = $94
- (6x + 4y = $80)
=> y = $14.
Therefore 6x + 5($14) = $94, 6x = $24, x = $4.
Hence each apple pie costs $4 and each lemon meringue pie costs $14.
What is the slope-intercept form of the
equation of the line graphed on the
coordinate plane below?
Answers
Answer:
First we find the y intercept which is 1 y = mx + b m is slope b is y intercept
y = mx + 1
slope is 2
y = 2x + 1
Step-by-step explanation:
PLEASE HELP I NEED THE ANSWER ASAP. I WILL GIVE 30 POINTS AND BRAINLIEST
What is the area of the figure? _____ square units
Answers
Answer: Roses are red, Violets are blue, I liked my own answer because nobody wanted to...
Answer:
6
Step-by-step explanation:
What is the equation of a line with a Y intercept of -3 and a slope of five
Answers
Answer:
y = 5x -3
Step-by-step explanation:
m=5
b=- 3
y = mx + b
y = 5x -3
56 is 0.4% of what number?
Answers
Answer:
140
Step-by-step explanation:
Let the number = x
Hence, the expression can be written has:
0.4 of x = 56
0.4x = 56
Divide both sides by 0.4
0.4x / 0.4 = 56 / 0.4
x = 140
Hence, 56 is 0.4 of 140
Anyone knows this please help me
Answers
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
How many years will it take for $20,000 to earn $7,000 in interest if placed in an account that earns 2.09% simple interest?
Answers
Answer:
16.7 years
Step-by-step explanation:
math problem plz help me
Answers
Answer:
Option C.
Ground level = 0 foot
Hole = -3 feet
Dirt pile = 3 feet
Which statement about this product is true? 0.44×(−5 3/4)
It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.
It is equal to −534 because 44 is equal to 1, and 1 times any number equals that number.
It is greater than −3 because 0.44×534 is less than 12×6.
It is less than −534 because multiplying by a number less than 1 gives a smaller number.
Answers
Answer:
A.)
Step-by-step explanation:
Given=42and=16, find DG. (help fast please)
A. 38.8
B.26.4
C.44.9
D.13.6
Answers
please answer do not answer if u don't know the answer
Answers
Answer :x=3 y=7 (3,7)
Step-by-step explanation: I took algebra last year and I answered your question earlier.
