Answer:
21 + 3t
Step-by-step explanation:
Use distributive property: a*(b +c) =(a*b) + (a*c)
8(2 +t) - 5(t - 1) = 2*8 + t *8 + t *(-5) - 1*(-5)
= 16 + 8t -5t + 5
= 16 + 5 + 8t - 5t {Combine like terms}
= 21 + 3t
Can the equation below be used to solve the following problem? If not, explain why.
0.75x + 3 = 0.25x + 5.25
Joseph has $3.00 in his piggy bank and he adds $0.75 each day. Kelsey has $5.25 in her piggy bank and she spends $0.25 each day. When will Joseph and Kelsey have the same amount in their piggy banks?
The difference of 10x and 3x is less than or equal to the sum of 4x and 21.
Answer:
«means less than or equal to
x«7
Step-by-step explanation:
10x-3x«4x+21
7x«4x+21
7x-4x«21
3x«21
divide both sides by 3
x«21/3
3 will divide 21, 7times
x«7
help me quys plz, which one is it
You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change
Answer:
820.11
Step-by-step explanation:
-39.48
603.15+90.89=694.04
694.04+106.03=800.07
800.07+70.04+870.11
870.11-50.00=820.1
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?
Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.[tex]\bar3[/tex]
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
[tex]\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}[/tex]
Substituting the known values gives;
[tex]\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3[/tex]
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.[tex]\bar3[/tex].
Answer:
it A
Step-by-step explanation:
To order tickets online to a hockey game, there is a processing fee plus the cost per ticket. The cost for 5 tickets is $174.45. The cost for 8 tickets is $271.95. Write and solve a linear equation to find the total cost to order 12 tickets.
Answer:
401.951
Step-by-step explanation:
Answer:
$401.951
Step-by-step explanation:
Which ratio is equivalent to 5:9?
9:45
25:81
27:15
30:54
Answer:
The Answer is D 30:54
Step-by-step explanation:
5 times 6 is 30 and 6 times 9 is 54
4x + 9 = 2x + 15 .. I need help
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
4x + 9 = 2x + 15
Step 2: Solve for x
Subtract 2x on both sides: 2x + 9 = 15Subtract 9 on both sides: 2x = 6Divide 2 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(3) + 9 = 2(3) + 15Multiply: 12 + 9 = 6 + 15Add: 21 = 21Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.
Which fraction is equivalent to 0.6?
Three-tenths
One-third
Three-fifths
Two-thirds
Answer:
C. three- fifths
Step-by-step explanation:
Because if you multply 3/5 by 2 you get 6/10 Which is .6
I hope this helps!!!!
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?
F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x
The solution is : she needs at least 16 points.
x + 64 ≥ 80
x ≥ 16
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
Given
Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.
so,
Total = 80 (at least)
accumulated = 64
Required
Express as an inequality
In inequalities, at least means ≥
So, the expression is:
Where x represents the additional points
x + 64 ≥ 80
Solve for x
x ≥ 16
Hence, she needs at least 16 points.
To learn more on inequality click:
brainly.com/question/24853349
#SPJ3
The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?
Answer:
1-0.65 = 0.35 I think the probability of B is 0.35
Step-by-step explanation:
Answer: Approximately 0.51
======================================================
Explanation:
If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.
We're given the following
P(A) = 0.65P(A and B) = 0.33So,
P(A and B) = P(A)*P(B)
0.33 = 0.65*P(B)
P(B) = 0.33/0.65
P(B) = 0.5076923076923
which is approximate. When we round to 2 decimal places, we get 0.51
PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
Answer:
f(-2) = 2
Step-by-step explanation:
Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.
So basically it wants the y-value :)
Answer:
1.25
Step-by-step explanation:
the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
Answer:
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?Step-by-step explanation:
Answer:
g
Step-by-step explanation:
what is 7/10 divided by 6 to the second power?
Answer:0.01944444444 if it is like that then there is going to be a line above 4 for repeating.
Step-by-step explanation:
please let me know if this helps I had questions like this but I don't know if that what they are asking for you to do too! have a great day and I dont mean to be greedy but may i please have BRAINLIEST?
6th grade math i mark as brainliest
Answer:it’s d
Step-by-step explanation:
Answer:
C. 17 (24 * 14)
Step-by-step explanation:
24 * 14 how much 1 cow can eat in 2 weeks. multiplied by the total number of cows 17.
Callum and Isobel have a total of 240 stamps.
The ratio of the number of Callum’s stamps to the number of Isabel’s stamps is 3:8.
Callum buys some stamps from Isabel.
The ratio of the number of Caullum’s stamps to the number of Isabel’s stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.
Answer:
callum bought 78.6 stamps
If one of the zeroes of the cubic polynomial p(x)=ax³+bx²+cx+d is zero then find the product of other two zeroes of p(x).
Answer:
As one of the zeros of polynomial is 0, then (x-0) =x is a factor of given polynomial.
Since x is a factor , d= 0
ax^3+bx^2+cx+d = ax^3+bx^2+cx
= x(ax^2+bx+c)
Other two roots are roots of
ax^2+bx+c = 0
For a quadratic equation ax^2+bx+c = 0
Product of roots = c/a
Sum of roots = -b/a
So
Product of other two roots = c/a
Hope this helps :D
Mr. Greene is trying to decide which charter bus
company to use for the 8th grade Outer Banks trip.
Holiday Tours charges a down payment of $300 and $3
per mile. Diamond Tours charges a $500 down payment
and $1 per mile. Write and solve an equation to find the
number of miles when the cost of both companies will be
the same.
Answer: 100 miles
Step-by-step explanation:
300+3x=500+1x
subtract 1 from both sides
300+2x=500
subtract 300 from both sides
2x=200
divide 2
x=100
how many times does 46 go into 296?
Answer:
6.4347826087
Step-by-step explanation:
question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)
Two triangles are congruent if
A. the pictures look the same
B. corresponding sides and corresponding angles are congruent
C. any two sides and any one angle are congruent
D. corresponding angles are congruent
Answer:
B is your answer
Step-by-step explanation:
PLEASE help ASAP will give brainlist
Answer:
if im not mistaken it would be 6
Step-by-step explanation:
because you half the 18
Problem is in pictures !
Answer:
its A my bro mark me brainleist please
Step-by-step explanation:
yo im timed please help!! at the top it says "car A is traveling east at a steady speed of 45 mph. after 2 hours it is 100 miles east of Johnstown . car B is traveling east on the same road. its distance east of Johnstown is represented by the graph" il give 20 more points if you're correct
Answer:
it could be C or a
Step-by-step explanation:
more likey c be sorry if it's wrong
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and parallel to y = 1/3x + 5
Final Answer: [tex]y = \frac{1}{3}x + 4[/tex]
Steps/Reasons/Explanation:
There are two methods of solving this problem. Slope-intercept form and Point-slope form. I will be using the Slope-intercept form to solve this problem.
Step 1: Substitute slope from the original line ([tex]\frac{1}{3}[/tex] in this case) into the slope-intercept equation.
[tex]y = \frac{1}{3}x + b[/tex]
Step 2: Substitute the given point [tex](-3, 3)[/tex] into the x and y values.
[tex]y = \frac{1}{3}x + b[/tex]
[tex]3 = \frac{1}{3}(-3) + b[/tex]
Step 3: Solve for b (the y-intercept).
[tex]3 = \frac{1}{3}(-3) + b[/tex]
[tex]3 = -1 + b[/tex]
[tex]+1[/tex] = [tex]+1[/tex] [tex]+[/tex] [tex]b[/tex]
[tex]4 = b[/tex]
Step 4: Substitute this value for b in the slope-intercept form equation.
[tex]y = \frac{1}{3}x + 4[/tex]
~I hope I helped you :)~
Answer:
y = 1/3x + 5
Step-by-step explanation:
(-3, 3)
x , y
x1 = -3
y1 = 3
The formula we will use is y - y1 = m ( x - x1)
We will now replace y1 and x1 with the coordinate points (-3, 3).
We will keep x1 = -3, and y1 = 3.
then you will plug in the numbers giving you an equation like:
y - (3) = 1/3 (x -(-3))
y - 3 = 1/3 (x + 3)
y - 3 = 1/3x +1
+ 3 + 3
y = 1/3x + 4
I am 100% sure I am correct.
If you want free answers to your questions you can use math
way, which is a free website
It gives you FREE answers to math problems and they are always reliable.
I always use it to check my answers as I did with this problem too you may go there to check my answer if you would like just type in y = 1/3x + 5 , (-3, 3)
then when options pop up select parallel, because you want to solve for a parallel line.
I hope I helped you a lot and my answer is correct.
Please mark me as brainliest and have a good day!
1/2(2c - 4) = 1/3(6c - 30)
Please don’t give me a wrong answer
3
What is another way to write the equation 7X+7
-82
07
8
3
+ = -6
4
0
7+3
X=-6
8+4
73
4
3
©*-*=
Answer:
The answer is the first option that states that you can write this expression as [tex]7(\frac{x}{8}) + \frac{3}{4} = -6[/tex]
Step-by-step explanation:
In order to solve this question we will need to know how to factor fractions. In our case we can do the following.
[tex]\frac{7}{8}x = \frac{7x}{8} = 7(\frac{x}{8})[/tex]
So now we since [tex]\frac{7}{8} x= 7(\frac{x}{8} )[/tex] ⇒
⇒ [tex]\frac{7}{8}x + \frac{3}{4} = -6[/tex]
[tex]7(\frac{x}{8}) + \frac{3}{4} = -6[/tex]
Answer: A
I just did the test
Those two please I really need help
Answer:
Horizontal flat lines have a slope of 0, and the other one is negative correlation because if you make an imaginary line through that it would have negative slope
HELP ME ASAP PLS
tommy had 8 times more money than loren. when parents gived 35cents to loren and tommy spent 14cents both of kids had same money. how much tommy had in start? how much loren had in start?
Answer:
Tommy had 56 cents in start and Loren had 7 cents in start.
Step-by-step explanation:
Let,
x be the money Tommy have.
y be the money Loren have.
According to given statement;
Tommy had 8 times more money than Loren.
x = 8y Eqn 1
Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore
x-14=y+35 Eqn 2
Putting x=8y in Eqn 2
[tex]8y-14=y+35\\8y-y=35+14\\7y=49[/tex]
Dividing both sides by 7
[tex]\frac{7y}{7}=\frac{49}{7}\\y=7[/tex]
Putting y=7 in Eqn 1
[tex]x=8(7)\\x=56[/tex]
Hence,
Tommy had 56 cents in start and Loren had 7 cents in start.
IM RUNNING OUT OF TIME AND I ONLY HAVE A FEW MINUTES LEFT PLEASE HELP ME!!! IM GIVING 15 POINTS
Answer:
what is l and multiply l by 4 my guy
Step-by-step explanation:
Answer:
x = 25
<HKL = 102
Step-by-step explanation:
<LKH + <HKJ = 180 since the two angles form a straight line
<LKH + <HKJ = 180
4x+2 + 78 = 180
Combine like terms
4x+80 =180
Subtract 80 from each side
4x+80-80=180-80
4x= 100
Divide by 4
4x/4 = 100/4
x = 25
<LKH = 4x+2 = 4*25 +2 = 100+2 = 102