Answer:
Infinitely Many Solutions
Step-by-step explanation:
Since it's given that x = 3y + 4 we can use this in second expression
3×(3y+4) = 9y + 12 ➡ 9y + 12 = 9y + 12 add the like terms
9y - 9y = 12-12 ➡ 0 = 0 there's infinitely many solutions for second equation
Same goes for first equation.
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and Numbers off buses they took if each car holds 5 student’s and each bus holds 45 students.
Answer:80
Step-by-step explanation:
Answer:
Number of cars=3
Number of buses=4
Step-by-step explanation:
Let the number of cars be x, and the number of buses be y.
x+y=7 (total number of vehicles) ---①
5x+45y=195 (total number of students) ---②
*each car holds 5 students, whereas each bus holds 45, which equals to 5x and 45y
From equation ①,
x=7-y ---③
Substitute ③ into ②
5(7-y)+45y=195
35-5y+45y=195
40y=195-35
40y=160
y=4
Therefore,
x+y=7
x=7-y
x=7-4
x=3
Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total
earnings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of lawns they need
to mow next week so that each person earns at least $275?
45m-30 2275
45m-302275
45m-30 $275
45m - 30 s275
Answer:
45 m - 30 ≥ 275 x (4) is the required inequality.
Step-by-step explanation:
m: The number of lawns they need to mow next week
The charge per mowing of lawn = $45
The total earnings spent on gasoline each week = $30
The earning per person is AT LEAST $275.
Now,if 1 person earns at least $275
So, the total minimum earnings of 4 people = 4 x ($275) = $ 1100
Also, of per mow charge = $45
So, the charge of mowing m lawns = m x ( Per mow charge )
= m x ( $45) = 45 m
Now, according to question:
Total Earning - Money spent on gasoline ≥ Total Earning $1100
or, 45 m - 30 ≥ 1100
Hence, the needed inequality is 45 m - 30 ≥ 1100
or, 45 m - 30 ≥ 275 x (4)
Answer:
a
Step-by-step explanation:
for people who don't like reading, i gotchu <3
Peter has to use the following information to find the original number: "If you double a number and then add 36 you get 4/11 of the original number." Write and solve an equation to find the original number.
Answer:
-22
Step-by-step explanation:
2x + 36 = 4/11 x
2x - 4/11 x = - 36
18/11 x = - 36
x = ((-36) x 11) / 18 = - 22
HELP HELLP HELP MEH I NEED 16 MORE CLASSES LEFT FOR SCHOOL LET IT BECOME 15 PLEASE
Answer:
2*2*9+4*12*3=36+144=180
Step-by-step explanation:
What is the altitude of an equilateral triangle with a side length of 10 in.
Good morning,
Answer:
[tex]\frac{\sqrt{3} }{2} a[/tex]
Step-by-step explanation:
h = altitude
side = a
using Pythagorean theorem: in the right triangle:
h² = a² - (a/2)²
= a² - a²/4
= 3/4a²
= [(√3/2)×a]²
⇒ h = (√3/2)×a.
:)
please help i need this answer for my end of course test
a(1) = -13
a(n) = a(n - 1) + 4
Find the second term in the sequence.
Question options:
a) 9
b) -9
c) 8
d) -8
i will give you the brainliest
Option B
The second term of sequence is -9
Solution:
Given that,
[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]
We have to find the second term of sequence
To find the second term of sequence, substitute n = 2 in given recursive formula
Plug in n = 2 in above equation
[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]
Substitute a(1) = -13
[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]
Thus the second term of sequence is -9
what is 58% of 18 Show and explain your work, please!!!
Answer:
10.44
Step-by-step explanation:
okay so percentages can be converted to decimals
to do this, you can either:
move the decimal space to the left twice
or
divide the percentage (in this case 58) by 100,
regardless you will get the same answer
58.0 → 5.80 → 0.58
now that you have 58% as a decimal, all you have to do is multiply it by 18
(0.58)(18) = 10.44
therefore, 58% of 18 is 10.44
Final answer:
To calculate 58% of 18, convert the percentage to a decimal (0.58) and multiply it by 18, resulting in 10.44.
Explanation:
To find what 58% of 18 is, we use the concept that 'percent' means 'per hundred' or 'out of 100'. So essentially, we need to find 58 out of every 100 parts of 18. This calculation can be represented by the mathematical expression 0.58 x 18 (since 58% as a decimal is 0.58). The steps to solve this are:
Convert the percentage to a decimal: 58% = 0.58.Multiply the decimal by the total number: 0.58 x 18.Perform the multiplication: 0.58 x 18 = 10.44.So, 58% of 18 is 10.44.
Which situation would be represented by the integer -8?
You earn $8
A hole 8 feet deep.
A temperature of 8°F.
An 8-yard pass.
Answer:
Step-by-step explanation:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
u earn $ 8....thats +8
a temp of 8 F....thats a +8
an 8 yd pass....thats a + 8
Answer:
a hole 8 ft deep.....would be -8 because it is -8 below ground level
Can someone please help!!
Linda's health insurance policy has a $1,000 deductible and 20% coinsurance. Her total medical bills last year were $6,450.
The insurance company paid a total of _ for the year.
options are:
$5,450
$4,160
$4,360
$2,090
After deducting Linda's $1,000 deductible and 20% coinsurance from her total medical bills, the insurance company paid $4,360 for the year.
Explanation:Linda's health insurance policy has a deductible of $1,000, meaning that amount will have to be paid out of her pocket before the insurance starts to cover. In addition, the policy has 20% coinsurance, which means Linda is responsible for 20% of the remaining healthcare costs after the deductible is met.
First, calculate the bills Linda has to pay after the deductible: $6450 - $1000 = $5450.
Next, account for the coinsurance by calculating 20% of that amount: 0.20 * $5450 = $1090.
To find out how much the insurance company paid, we subtract the amount Linda pays from her total bills. Therefore, $6450 - $1000 (deductible) - $1090 (coinsurance) = $4360. So, the insurance company paid $4360 for the year.
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Luis choosing one card from the deck then choosing a second card without replacing the first. Is this independent or dependent
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Step-by-step explanation:
Lets define independent and dependent events first.
Independent events:
The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.
Dependent events:
The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.
Now,
When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.
Hence,
Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.
Keywords: Probability, dependent events
Learn more about probability at:
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Which graph represents the solution to this inequality? 16x - 80x < 37 + 27
The graph that represents the solution to this inequality is x > -1.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
The given inequality is 16x - 80x < 37 + 27.
Simplifying the left-hand side of the inequality.
-64x < 64
Dividing both sides by -64
(remember to reverse the inequality because we're dividing by a negative number).
x > -1
Now,
This inequality represents all values of x that are greater than -1.
To represent this solution graphically, we would shade the region to the right of the vertical line x = -1, as all x values to the right of -1 satisfy the inequality.
Thus,
The graph that represents the solution to this inequality is x > -1.
Learn more about inequalities here:
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What is the completely factored form of f(x)=x3+4x2+7x+6?
Answer:
f(x)=(x+2)(x−(−1+i2√))(x−(−1−i2√))
Sorry if its wrong!
The required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The function is given in the question following as:
f(x) = x³ + 4x² + 7x + 6
We have to determine the completely factored form of the given function
As per the given question, we have
⇒ f(x) = x³ + 4x² + 7x + 6
Common factor as (x + 2) out in the above expression,
⇒ f(x) = (x + 2)(x² + 2x + 3)
⇒ f(x) = (x + 2)(x−(−1+i√2))(x−(−1−i√2))
Therefore, the required completely factored form is f(x) = (x + 2)(x−(−1+i2√))(x−(−1−i2√)).
Learn more about the Factorization here:
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Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $38 on one burrito bladder and one taco platter. For a company meeting, she spent $90 on to burrito platters and one taco platter. How much does each type of platter cost?
Carmen often orders party trays from her favorite Mexican food restaurant For company events. For a recent company party, she spent $58 on one burrito platter and one taco platter. For a company meeting, she spent $90 on two burrito platters and one taco platter. How much does each type of platter cost?
Answer:The cost of each buritto platters is $ 32 and cost of each taco platter is $ 26
Solution:Let "a" be the cost of each burrito platters
Let "b" be the cost of each taco platters
Carmen spent $58 on one burrito bladder and one taco platter
Therefore we frame a equation as:
one burrito bladder x cost of each burrito platters + one taco platter x cost of each taco platters = 58
[tex]1 \times a + 1 \times b = 58[/tex]
a + b = 58 ---------- eqn 1
For a company meeting, she spent $90 on two burrito platters and one taco platter
two burrito platters x cost of 1 burrito platter + one taco platter x cost of 1 taco platter = 90
[tex]2 \times a + 1 \times b = 90[/tex]
2a + b = 90 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Subtract eqn 1 from eqn 2
2a + b -a - b = 90 - 58
a = 32
Substitute a = 32 in eqn 1
32 + b = 58
b = 26
Hence, cost of 1 burrito = $32 and the cost of 1 taco platter = $26
Four times a number,decreased by two is five.
Written out, that would be 4x - 2 = 5.
To solve, add 2 and then divide by 4:
4x = 7
x = 7/4
Answer:
7/4
Step-by-step explanation:
X = a number
Four times a number
4X
Four times a number,decreased by two
4X - 2
Four times a number,decreased by two is five.
4X - 2 = 5
4X = 5 + 2 = 7
X = 7/4
Rachel has $18.20 deducted from her paycheck every month for insurance. After 6.25 months, how much money
has been deducted from Rachel's checks?
O -$11.38
CO -$18.20
-$113.75
-$1,137.5
Answer:
The answer is C.) -113.75
Step-by-step explanation: I just did the assignment and used a calculator to find the answer.
Five movie tickets cost 36.25 what is the cost of 8 movie tickets
Answer:
290.
Step-by-step explanation:
36.25 x 8
Mrs. Jones is building wooden picture frames. She has 1 5/8 of wood and needs 3/4 for each frame. How many frames can she make with the exiting material? *
show ur work
Answer:
[tex]2\frac{1}{6}\ frames[/tex]
Step-by-step explanation:
we know that
To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4
so
[tex]1\frac{5}{8}:\frac{3}{4}[/tex]
Convert mixed number to an improper fraction
[tex]1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}[/tex]
substitute
[tex]\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames[/tex]
Simplify
[tex]\frac{13}{6}\ frames[/tex]
Convert to mixed number
[tex]\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames[/tex]
Identify the slope with point A at (2,6) and Point B at (4,10)
Answer:
The slope to the given points A at (2,6) and B at (4,10) is 2
Therefore slope m=2
Step-by-step explanation:
Given points are A at (2,6) and B at (4,10)
To find the slope of the given two points :
Let [tex](x_1,y_1) and (x_2,y_2)[/tex] be the given points A at (2,6) and B at (4,10) respectively
Slope m[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]
Now substitute the points in the above equation we get
m[tex]=\frac{10-6}{4-2}[/tex]
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
Therefore m=2
The slope to the given points A at (2,6) and B at (4,10) is 2
Therefore slope m=2
what is rational 125 in simplest form
Answer:
1/8
Step-by-step explanation:
If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.
Answer:
If we divide both the top and the bottom by 5 since we know 125 is a multiple of 5, we get 25/200. Divide both by 5 again to get 5/40. Divide by 5 one more time to get 1/8, and since the numerator is 1, the fraction cannot be simplified any further. Therefore, the answer in its simplest form is 1/8.
Step-by-step explanation:
Pls help, more equations. If you answer, you can do it on paper, then take a photo and post it as your answer
Answer:
all work is shown and pictured
How many does 40 go into 100
Answer:2.5 or 2 with the remainder of 20
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)
Hope this helps!
-Coconut;)
what is the sum of 43,489 + 444,398
Answer:
487887
Step-by-step explanation:
How can you use a property of operations to write a simplified equivalent expression
Answer:
Step-by-step explanation:
For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.
Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from B to AC.
Step-by-step explanation:
Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)
[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]
The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]
=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]
=[tex]|-54|[/tex] = 54 square units
The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]
= [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]
=[tex]\sqrt{149}[/tex] units
Let the perpendicular distance from B to AC be = x
According To Problem
[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]
⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units
Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]
The steps to solving -3x(4x+3)+5x
Hey there!
-3x(4x + 3) + 5x
= -3x(4x) + -3x(3) + 5x
= -3x(4x) - 3x(3) + 5x
= -3x(4x) + 3(-3x) + 5x
= -12x^2 + 3(-3x) + 5x
= -12x^2 - 9x + 5x
= -12x^2 - 4
Therefore, your answer is: -12x^2 - 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Rita correctly answered 9 out of the 10 on the test. What was the fraction of the test did rita answer incorrectly
Answer:
she got 9 out of 10 correct on the test so 90% correct, which only leave 10% left to have 100%.
so she got 10% wrong
Step-by-step explanation:
Answer:
1 out of ten or 10 percent { :
Step-by-step explanation:
The table shows inputs and outputs for a relation.
Identify a possible value for x that would make the relation shown in the table NOT a
function. Explain.
Answer:
whats the answer lol
Step-by-step explanation:
Pls Help me plsssssssss
Answer:
X=89.4
Step-by-step explanation:
A recipe requires 5 cups of sugar you can only measures using 3/4 cups how many 3/4 cups are needed for the recipe leave the answer as an improper fractions
Answer:
Step-by-step explanation:
5 / (3/4) =
5 * 4/3 =
20/3 <==== I left it as an improper fraction
help asap pls
Joni is solving the equation 3x-1= 6 - x using the graphing capabilities
on her calculator. Here is what the calculator screen displays
when she finds the intersection of the graphs of Y2 = 3x - 1 and Y2 = 6-X.
What is the solution to the equation? How do you know?
Answer:
x = 7/4 = 1.75
Step-by-step explanation:
Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.
As I can't see the calculator, I will also show you how to work out the solution for x:
3x - 1 = 6 -x
4x -1 = 6
4x = 7
x = 7/4 = 1.75