Answer:
Step-by-step explanation:
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6
Carmen deposited $960 in a savings account with simple interest. Five years later, the account held $1,200. What was the interest rate?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
0.25/ 25%
Step-by-step explanation:
I=prt
1200=960*x*5
1200=4800x
divide both sides by 4800
x=0.25
pls answer i have to do this quickly
Estimate V106 to the
nearest integer.
V means square root
ooooooooooooooooooooooooooooooooo y=5x+2
Answer:
I need the whole question plz.
Step-by-step explanation:
x=1 y=7
x=2 y=12
etc.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
The angles are adjacent. x = 100°
Step-by-step explanation:
x + 80 = 180
x = 100
A spinner has 4 violet spaces, 2 green spaces, and 2 brown spaces. If the spinner
is spun once, what is the theoretical probability of the spinner NOT stopping on
the color brown?
P(Not brown)
Answer:
1/2 There you go
Step-by-step explanation:
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. LaTeX: \frac{3}{4}3 4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)
Answer:
3 29/40 kg
Step-by-step explanation:
An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. LaTeX: \frac{3}{4}3 4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)
Step 1
We find the fraction of the sculpture that is wood
Let the Fraction of the sculpture = 1
Fraction of the sculpture that is metal = 3/4
Fraction of the sculpture that is wood =
1 - 3/4
= 1/4
Step 2
How much does the wood part of the sculpture weigh? Enter your number as a mixed number. (no decimals)
This is calculated as:
Weight of the total sculpture × Fraction of the sculpture that is wood
= 14.9 kg × 1/4
= 3 29/40 kg
Find the product. Write your answer in scientific notation.
(7 x 10^-2) (8 x 10^5) =
Answer:
7×10^(-2)×8×10^5 = 56000
convert to scientific notation = 5.6 × 10^4
(scientific notation)
= 5.6e4
(scientific e notation)
= 56 × 10^3
(engineering notation)
(thousand; prefix kilo- (k))
= 56000
(real number)
Step-by-step explanation:
Are the events "selecting a male" and "selecting a student who has green eyes" Mutually Exclusive?
Answer:
no. there are 48 with both.
Consider the expression 150 + 150(2.5). Which statements are correct?
A)
150 + 150(2.5) = 1 + 2.5
B)
150 + 150(2.5) = 150 + 2.5
C)
150 + 150(2.5) = 150(1 + 2.5)
D)
150 + 150(2.5) = 150(3.5)
E)
150 + 150(3.5) = 525
Answer:
C D E is the answer
Step-by-step explanation:
i just know
You buy a new car and it depreciates 6.2% per year in value. If the value of the car can be modeled by V(t)=45,000⋅bt, what would be the value of b?
Answer:
b = 0.938
Step-by-step explanation:
Value of the car can be modeled by the function,
V(t) = [tex]45000(b)^t[/tex]
Since, formula for the depreciation is modeled by,
V(t) = [tex]V_0(1-\frac{r}{100})^t[/tex]
Here, V(t) = Final value of the car after t years
V(0) = Initial value of the car
r = rate of depreciation
t = Time (in years)
By comparing both the functions which are similar,
[tex]1-\frac{r}{100}=b[/tex]
[tex]1-\frac{6.2}{100}=b[/tex]
b = 1 - 0.062
b = 0.938
Enter the pair of fraction with the smallest common denominator between 4/5 and 1/5 the pair of fractions with the smallest common denominator are
Answer:
LCD = 24
Equivalent Fractions with the LCD
1 1/2
=
36/24
3/8
=
9/24
5/6
=
20/24
3
=
72/24
What is the equivalent expression for 4(8x-5)
Answer:32x-20!
Step-by-step explanation:
A company ran a contest in which prizes were revealed under the bottle caps of its soda bottles. A case of 24 bottles had 3 prize bottle caps. If the company produces 72,000 bottles of soda, how many
bottles will have prizes?
Answer:
every 24, there is 3 (let's assume)
72,000 / 24 = 3000.
3000 x 3 = 9000
Step-by-step explanation:
9000, hope this helps. I'm super sorry if I got it wrong
what does 10 = 4y equal to
Answer:
Step-by-step explanation:
Simplifying
10 = 4y
Solving
10 = 4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y' to each side of the equation.
10 + -4y = 4y + -4y
Combine like terms: 4y + -4y = 0
10 + -4y = 0
Add '-10' to each side of the equation.
10 + -10 + -4y = 0 + -10
Combine like terms: 10 + -10 = 0
0 + -4y = 0 + -10
-4y = 0 + -10
Combine like terms: 0 + -10 = -10
-4y = -10
Divide each side by '-4'.
y = 2.5
Simplifying
y = 2.5
someone help, quadratic graphs
9514 1404 393
Answer:
a) turning point: (-2, -1)
b) roots: (-3, 0), (-1, 0)
Step-by-step explanation:
The turning point is correctly identified as the vertex in the problem picture.
__
The roots are the x-intercept points: (-3, 0) and (-1, 0).
What is 45 + 25x = 65 + 15x?
Answer:
x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
45 + 25x = 65 + 15x
25x - 15x = 65 - 45
10x = 20
x = 2
find the value of given expression
[tex] \sqrt{(60 \div 10) {}^{2} } [/tex]
Step-by-step explanation:
[tex] \sqrt{(60 \div 10) {}^{2} } \\ = \sqrt{(6) {}^{2} } \\ = \sqrt{36 } \\ = 6[/tex]
6 is your answer
Answer:
[tex]\sqrt{\left(\frac{60}{10}\right)^2}[/tex]
[tex]\sqrt{\left(\frac{60}{10}\right)^2}=\frac{60}{10}[/tex]
[tex]\frac{60}{10}=6[/tex]
----------------------
hope it helps..
have a great day!!
− 2/3 a+ 5/6 a− 1/6 Combine like terms to create an equivalent expression.
Answer:
1/6a+-1/6
Step-by-step explanation:
An hour befor show time,only 155 people are seated for rockfest.According to ticket sales 95% of the people have yet to arrive
Question:
An hour before show time, only 155 people are seated for rockfest. According to the ticket sales, 95% of the people have yet to arrive. How many tickets were sold?
Answer:
3100 tickets
Step-by-step explanation:
Given
[tex]p = 95\%[/tex] --- Yet to arrive
[tex]Seated = 155[/tex]
Required
Determine the total number of people
If 95% are yet to arrive, then 5% have arrived (i.e. 100% - 95%)
So, the total number of people is calculated as:
[tex]5\% * x = 155[/tex]
Where x represents the total number of tickets
Make x the subject
[tex]x = \frac{155}{5\%}[/tex]
[tex]x = \frac{155}{0.05}[/tex]
[tex]x = 3100[/tex]
Meagan printed 40 pictures from her recent family reunion. Of these pictures, 12 show both people and pets, 4 show only pets, and 24 show only people. Meagan is in one-half of the pictures that show both people and pets and she is in one-third of the pictures that show only people.
Answer: if the question is how many pictures total is megan in, she’s in 14/40 photos
Step-by-step explanation:)
How many groups of 1/2 days are in 1 week? Write a multiplication equation or a division equation to represent the question, then answer the question.
Answer:
14 half days
Step-by-step explanation:
7d per 1w
1/2d / 7d = 14 half days
quation = 1/2d / 7d = x
A square has a side length of 10cm. Work out the length of a diagonal of the square.
Answer: Let x = the length of a side of the square
a2 + b2 = c2
x2 + x2 = 102
2x2 = 100
x2 = 50
x = √50
x = 5√2 cm
Step-by-step explanation:
d=√2
a=√2.10 ≈14.14214cm
=14.14cm
Determine the solutions to the following systems of the linear equations.
Answer:
1. (4,2)
2. No solution
3. (1,3)
What equation is shown by the graph below?
Answer:
y= x+ 4
Step-by-step explanation:
use y= mx+b where m is the slope and y is the y intercept
in this case the slope is one and y intercept is four
What is the perimeter of the parallelogram below?
A radio station plays a winning song once per hour at a randomly selected time (in minutes). During an announcer’s four-hour show, how many different arrangements of winning times could occur if a) repetition of times during each hour is permitted? b) repetition of times during each hour is not permitted?
Answer:nrkrdjdjddjdjdjjdjdjdjdjdjd
Step-by-step explanation:
Hdhdhdhdhdhd
Is 12:20 , 30:50 , 75:125 equivalent
Answer:
Yes
Step-by-step explanation:
All these ratios are equivalent, because if you divide 12/20, 30/50, and 75/125 you will get .6 for each answer.
This means that the unit rate for each of the ratios is the same, and that all of them are equivalent.
Hope this helps!
what percent of 145 is 82
Answer:
118.9
Step-by-step explanation:
145 x 0.82
= 118.9
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation
A. Y-68=-5(x-14) B. Y+68=5(x+14) C. Y+68=-5(x-14) D. Y+68=5(x-14)
Answer:
A. Y-68=-5(x-14)
Step-by-step explanation:
Mary is spending money at the average rate of $5 per day. After 14 days she has $68 left. The amount left depends on the number of days that have passed. write an equation for the situation
We find the equation using the point slope equation of a line. This is given as:
y - y1 = m(x-x1)
The slope intercept form will be
y = -5x + b
since the amount decreases by $5 per day...
Our slope is -5 so m=-5
We have a point (x1,y1) = (14, 68)
Hence, we have:
y-68 = -5(x-14)
Option A is correct