Answer:
Step-by-step explanation:
-y = -4x - 3
y = 4x + 3
y + 2 = 4(x + 1)
y + 2 = 4x + 4
y = 4x + 2
A driver education course
costs $45 but saves those
under 25 years old 10% of their annual insurance premiums until they are 25. Dan has just
turned 18, and his insurance is $100 per month.
1. When will the amount saved from insurance equal the price of the course?
2. Including the cost of the course, when Dan turns 25, how much will he have saved?
Answer:
after 4.5 months (or 5)$795Step-by-step explanation:
10% of $100 per month is $10 per month.
1. By saving $10 per month on insurance cost, Dan's savings after 4.5 months will be equal to the $45 cost of his course. (If billing is monthly, he won't experience any net gain from the course until the 5th insurance payment--after 5 months.)
__
2. In 7 years, the savings on insurance costs will total ...
(7 years)×(12 months/year)×($10 /month) = $840
His cost for the course is $45, so his net saving is ...
$840 -45 = $795 . . . net saving by age 25
I WILL MARK YOU BRAINLIEST Juvi is baking chocolate chip cookies today! To make 4 batches of chocolate chip cookies, Juvi needs 45 of a cup of sugar. Her sister Evi wants to make 8 batches of chocolate chip cookies. How much sugar does Evi need to make 8 batches of chocolate chip cookies?*
Answer:
90 cups
Step-by-step explanation:
First, let's calculate how much cups of sugar we need for 1 batch of chocolate chip.
45 / 4 = 11.25
So, now we know that we need 11.25 cups of sugar to make 1 batch of chocolate chip.
Therefore, we know we need 90 cups of sugar for 8 batches because
11.25 * 8 = 90
Hope this helps ^^
PLEASE HELP ME
A map has a scale of
2 in. = 18 mi. If you measured the distance between two cities to
be 16 in. on the map, how many miles would it actually be?
Answer:
it would be 144 miles
Step-by-step explanation:
We start by a ratio of map to mile = 2:18
if we see that the map distance is 16, 16:?
We divide 16 by 2 to get 8, so we enlarge the 2, 8 times, and we get 16
the 18, also has to be enlarged, so 18x8 = 144
Find the Cardinal number of the set of all solutions to x^2=100
Answer: 2
Step-by-step explanation:
this is the answer knewton alta said
The Cardinal number of the set of all solutions to x²=100 is 2.
What is Number system?A number system is defined as a system of writing to express numbers.
Cardinal numbers are natural numbers or positive integers. The smallest cardinal number is 1.
We have to find the Cardinal number of the set of all solutions to x²=100
To find the solution of the equation we have to take square root on both the sides' x=10, -10
The set of solutions will be {-10, 10}
It has two terms. Hence cardinal number is 2.
Hence, the Cardinal number of the set of all solutions to x²=100 is 2.
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Find square of -9.2
Answer:
84.64.
Step-by-step explanation:
(-9.2)^2
= (9.2)^2
= 84.64.
A crowd of people stood on both sides of the street to view a 4th of July Parade.
The length of the parade was 3 miles long and 15 feet deep on each side of the street.
If 5 people can fit into a 25 ft^2 area.
Estimate the size of the crowd.
(1mile = 5280ft)
Given :
Length of parade , [tex]L = 3\ miles=3\times 5280\ miles = 15840\ miles[/tex] .
Breadth of parade , [tex]B=2\times 15=30\ ft[/tex] .
5 people can fit into a [tex]25\ ft^2[/tex] area.
1 mile = 5280 ft .
To Find :
The size of the crowd.
Solution :
Area of parade ,
[tex]A=15840\times 30\ ft^2\\\\A=475200\ ft^2[/tex]
Also , 5 people can fit in [tex]25\ ft^2[/tex] area .
So , number of people fit in A is :
[tex]n = \dfrac{475200\times 5}{25}\\\\n=95040[/tex]
Therefore , 95040 can fit in the parade .
Hence , this the required solution .
please help asap, and if you can explain why after the answer, please and thank you❤️
Simplify: 80÷4−2(2+1)2
Answer:
8
Step-by-step explanation:
Applying the PEDMAS rule, the expression 80÷4−2(2+1)² would be simplified as: 80÷4−2(2+1)² = 2.
What is the PEDMAS Rule?The PEDMAS rule guides the order of operation when solving a math problem with several operations.
P - parenthesis, E - exponent, D - division, M - multiplication, A - addition, S - subtraction.
To simplify 80÷4−2(2+1)², apply PEDMAS rule:
Solve parenthesis
80÷4−2(3)²
Solve exponent
80÷4−2(9)
Divide
20 −2(9)
Multiply
20 − 18
Subtract
= 2
Therefore, 80÷4−2(2+1)² = 2
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on 8(x - 2) + 3 = -61?
Answer:
Hey there!
8(x-2)+3=-61
8(x-2)=-64
x-2=-8
x=-6
Let me know if this helps :)
Answer:
X=-6
Step-by-step explanation:
8(x - 2) + 3 = -61
8X-16+3=-61
8X-13=-61
8X=-61+13
8X=48
X=[tex]\frac{48}{8}[/tex]
X=-6
HAVE A NICE DAY £$
If 3,a,b,c,37 in an arithmetic sequence,what are the values of a,b, and c?
Answer:
11.5, 20, 28.5
Step-by-step explanation:
Given AP
3,a,b,c,375th term is 37, then common difference is;
37 = 3 + 4d ⇒ d = 34/4 = 8.5Then the 2nd, 3rd and 4th terms:
a = 3+ 8.5 = 11.5b = a + 8.5 = 11.5 + 8.5 = 20c = b + 8.5 = 20 + 8.5 = 28.5150 students in 3 classes
Answer:
50 if you're asking for dividing
Step-by-step explanation:
if you're dividing then it's 50 hopefully this is the answer your asking
Please please please help me with this please and i will give you a brainlist and 10 points
Samantha conjectures that for x < - 1 it is true that x ^ 5 - 2 > x her conjecture correct? Why or why not?
Answer:
Incorrect
Step-by-step explanation:
Given
[tex]x < -1[/tex]
[tex]x^5 - 2 > x[/tex]
Required
Determine if the conjecture is true
To determine if it's true or not, we have to substitute the values of x in [tex]x^5 - 2 > x[/tex]
In the first inequality, we have that [tex]x < -1[/tex]
This means that the values of x are: -2. -3, -4......
Substitute -2 for x in [tex]x^5 - 2 > x[/tex]
[tex](-2)^5 - 2 > -2[/tex]
[tex]-32 - 2 > -2[/tex]
[tex]-34 > -2[/tex]
Her conjecture is incorrect because the inequality is not true for x = -2
The area of the base is 1·/4ft^2 . What is the volume of the cube?
Answer:
1/8 ft^3
Step-by-step explanation:
The cube has equal sides. So u square root the base area and u get 1/2 ft. The length, width and height are all 1/2. So u cube the 1/2. Your final answer would be 1/8 ft^3.
V = 1/8 ft³
Step-by-step explanation:Area of the base = 1/4 ft² = l²
l² = 1/(2)² ft²
l = 1/2 ft
V = l³
= (1/2 ft)³
= 1/2³ ft³
= 1/8 ft³
There are 7 books on the floor. The number of books on the shelf is 2 more than 3 times the number of books on the floor.
Solve the inequality. Then graph the solution set. 1 < 3x + 4 < 13
Answer:
Step-by-step explanation:
1 - 4 < 3x < 13 - 4
-3 < 3x < 9
-1 < x < 3
Negative -5/8 - 1/2=
I wanna know fast anyone??
Answer" -9/8
by-step explanation:
-5/8 - 1/2 = -9/8
Simplify: -9/8= 1 1/8
5. A six sided number cube is tossed onto a table 25 times. The results are shown below.
Number on die
Number of times
rolled out of 25
1
.
OWN
III
MINI
11
What is the theoretical probability of a 5 or 6?
_Answer as a fraction. (5 pts)
What is the experimental probability 5 or 6?
Answer as a fraction. (5 pts)
Answers:
Theoretical probability of 5 or 6 is 1/3
Experimental probability of 5 or 6 is 9/25
======================================================
Explanation:
For the theoretical probability, we ignore the table of values. We assume the cube will land on any of the 6 sides with equal probability.
So landing on any given side has probability 1/6. Landing on 5 or 6 has probability 2*(1/6) = 2/6 = 1/3.
---------
For the experimental probability, we use the table. We see that '5' shows up twice, and '6' shows up seven times. In total, those values show up 2+7 = 9 times out of 25 total.
So that's how I got 9/25.
Parallel Lines /\/\/\
Answer:
its also again 40
Step-by-step explanation:
its L angle
Answer:
40°
Step-by-step explanation:
∠1 and ∠2 are corresponding angles. Corresponding angles have the same measurement. This means that:
m∠1 = m∠2
Therefore, the measure of ∠2 would be the same as the measure of ∠1.
m∠2 = 40°
Hope this helps.
- For any nonquadrantal angle 0, sin 0 and csc 0 will have the same sign explain why
Answer:
Because sin 0 and csc 0 establish a relationship where one is reciprocated to the other.
Step-by-step explanation:
Sin 0 is found according to the mathematical expression Sin 0 = y / r.
The csc 0, in turn, is found through the mathematical expression Csc 0 = 1 / sin 0, which is equivalent to y / r.
In both expressions the letter "r" will always be represented by a positive value. This makes Csc 0 and sin 0 have a strong reciprocity and assume the same sign, regardless of the number that represents the "Y". This is because if "y" has a positive value, both sin 0 and csc 0 will have a positive sign, if "Y" will take a negative value, both sin 0 and csc 0 will take negative signs.
What is the range of the given function?
{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}
оооо
О{x | x = -5, -4, -2, 0, 2}
{y | y = -9, -3, 0, 5, 7}
{x | x = -9, -5, -4, —3, -2, 0, 2, 5, 7}
О{y | y = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Answer:
Step-by-step explanation:
the range of the given function is:
{0, -3, -9, 5, 7}= y
answer is B
ILL GIVE YOU BRAINLIST !!!
The cupcake recipe calls for 2 2/3 cups of flours, but Ashley only wants to make half of the batch of cupcakes.
How much flour will she need?
Answer:
1 1/3
Step-by-step explanation:
if ashley wants to make HALF of the batch you simply divided 2 2/3 by 2 :)
Answer:
1 1/3 cups
Step-by-step explanation:
If it takes 2 2/3 cups for a whole batch and Ashely only wants half a batch you would have to multiply 2 2/3 by 1/2.
2 2/3 x 1/2= 1 1/3
At the beginning of spring Madeline planted a small sunflower in her backyard. When it was first planted the sunflower was 10 inches. The sunflower began to grow at a rate of 1 inch per week. How tall would sunflower be after 9 weeks? How tall would the sunflower be after w weeks?
Answer:
Height after 9 weeks=19
Height after w weeks=1w+10
Step-by-step explanation:
Height after 9 weeks: 1(9)+10=19
Height after w weeks: 1w+10
how can simplify 5x-4=6
PLS HELP simplify (2b^3)^2
Answer: 4b^6
Remember if theres a bracket you multiply the power instead of adding
For example if it was 2b^3 x 2b^2 then the answer would be 4b^5 instead according to indices law, read up on it if you havent yet itll help a bunch! :)
Find the difference ( 9/4x+6) − (− 5/4x−24)=
Answer:
[tex]=\frac{7}{2}x+30[/tex]
Step-by-step explanation:
So we have the equation:
[tex](\frac{9}{4}x+6)-(-\frac{5}{4}x-24})[/tex]
First, distribute the negative on the right:
[tex]=(\frac{9}{4}x+6)+(\frac{5}{4}x+24})[/tex]
Combine like terms:
[tex]=(\frac{9}{4}x+\frac{5}{4}x})+(6+24)[/tex]
Add:
[tex]=\frac{14}{4}x+30[/tex]
We can reduce our fraction by dividing both layers by 2. Thus:
[tex]=\frac{7}{2}x+30[/tex]
So this would be our answer :)
9 200 711 round to the neasrt ten
Step-by-step explanation:
92007(1)1
since one is on the tens value, always jump to the next number.
It is greater than 5 add one to the next no.
= 9201000, The rest become zeros
Simplifying the fraction 30/81
Answer:
10/27
Step-by-step explanation:
First of all, to simplify a fraction, you have to find a common factor for each of the numbers. First, we know that 30 and 81 can be divided by 3, which will result in the number 10 and 27. Since 10/27 don't have any common factors, you cannot simplify it further.
If y varies directly as x and y=5 when x=8 find y when x=4
Answer:
2.5
Step-by-step explanation:
x=8 x=4
y=5 y=2.5
is ratio problem
If y varies directly with x and y = 5 when x= 8 . then the value of y when x = 4 is 2.5
What is directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
If y varies directly with x and y = 5 when x= 8 . then we need to find y when x = 4
Therefore, y = kx
k = y/x
k = 5/8
Then y = kx
y = (5/8)4
y = 5/2
y = 2.5
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Solve for w . p=w/t
Answer:
w = pt
Step-by-step explanation:
[tex]p=\frac{w}{t}\\\\p*t=\frac{w}{t}*t\\\\pt=w\\\\\boxed{w=pt;t\neq 0}[/tex]
Hope this helps.