x + 3y = 3
x - 5y = -29
solve by elimination
Answer:
x=-9
y=4
Step-by-step explanation:
x + 3y = 3
x - 5y = -29
Multiply the second equation by -1
-x + 5y = 29
Add the two equations together to eliminate x
x + 3y = 3
-x + 5y = 29
---------------------
0x +8y = 32
Divide each side by 8
8y/8 = 32/8
y = 4
Now solve for x
x+3y =3
x+3(4) = 3
x+12 = 3
Subtract 12 from each side
x+12-12 = 3-12
x = -9
What are any tricks for remembering the Pythagorean theorem?
Answer:
No. Just no the formula
Hyp2= Adj2 +Opp2
The Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
What is the Pythagoras theorem?Pythagoras came up with a theorem that says, “the square of the hypotenuse of a right-angled triangle is equal to the sum of the square of the other two sides.” This theorem is known as the Pythagoras theorem.
Pythagorean theorem is a theorem in geometry that relates all the three sides of a right triangle.
It states that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
A right triangle is a three-sided closed geometric plane figure in which one of the 3 angles is 900.
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse.
The horizontal side forming the right angle is called the base of the right triangle and the vertical side is the hypotenuse.
For example, if ΔABC is a right triangle with sides AB, BC, and AC such that the triangle is right-angled at B, then the Pythagoras equation is written as:
[tex]\rm Hypotenuse ^2= Base^2+ Perpendicular^2\\\\AB^2+BC^2=AC^2[/tex]
Hence, the Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
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The least common denominator of 7/12, 1/3, and 3/4 is
Answer:
12.
Step-by-step explanation:
3, 4, and 12 all divide into 12 .
Create an algebraic expression that always results in 6 more than a multiple of 5 if the variable is an integer. no links
[tex]===========================================[/tex]
Let's create an expression that always results in 6 more than a multiple of 5.
First, let the unknown number be x.
Then, we should multiply it times 5 and add 6 (6 more means we add 6)
So the expression is
5x+6
Will this work? We can easily check by plugging in some numbers:
5(2)+6
10+6
10 is a multiple of 5
16 ✓
Try another number:
5(3)+6
15+6
21 ✓
Try a negative number:
5(-3)+6
-15+6
-9 ✓
Try zero:
5(0)+6
0+6
6 ✓
[tex]============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Answered by[tex]^\square\boxed{An~Emotional~Helper}^\square^\bigstar[/tex]
An algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
The given statement is "6 more than a multiple of 5 if the variable is an integer".
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Let the unknown number be x.
A multiple of 5 is 5x
6 more than a multiple of 5 if the variable is an integer
= 5x+6
Hence, an algebraic expression results in 6 more than a multiple of 5 if the variable is an integer is 5x+6.
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what is the answer to
-40 = -5p
Answer:
-200 =p
Step-by-step explanation:
-40 = -5p
5 5
_______
-200 = p
solve the following
7(-2x+4)=-4x
PLS TELL ME QUICKLY
Answer:
x = 2.8
Step-by-step explanation:
[tex]7\left(-2x+4\right)=-4x[/tex]
[tex]-14x+28=-4x[/tex]
[tex]\mathrm{Subtract\:}28\mathrm{\:from\:both\:sides}[/tex]
[tex]-14x+28-28=-4x-28[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-14x=-4x-28[/tex]
[tex]\mathrm{Add\:}4x\mathrm{\:to\:both\:sides}[/tex]
[tex]-14x+4x=-4x-28+4x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-10x=-28[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-10[/tex]
[tex]\frac{-10x}{-10}=\frac{-28}{-10}[/tex]
[tex]x=\frac{14}{5}[/tex]
[tex]x=2.8[/tex]
[RevyBreeze]
Electric guitar kits originally cost $d$ dollars online. You buy the kits on sale for $50\%$ of the original price, plus a shipping fee of $\$4.50$ per kit. After painting and assembly, you sell each guitar online for $\left(1.5d+4.5\right)$ dollars. Find your profit on each guitar sold.
let's keep in mind that Profit = Revenue - Costs.
so each guitar costs originally "d" dollars online.
you buy the kits at half price, 50% of the original price, well, the original price is "d", half "d" is just 0.5d, and there's a shipping charge of $4.50. So the Cost to get one kit alone for you is 0.5d + 4.50.
After some work, you resell the kits online for 1.5d + 4.5, so since that's the selling price that is your Revenue for one kit.
[tex]\stackrel{\textit{\Large Profit}}{\stackrel{Revenue}{(1.5d~~ + ~~4.50)}~~ - ~~\stackrel{Costs}{(0.5d~~ + ~~4.50)}}\implies 1.5d+4.5-0.5d-4.5 \\\\\\ 1.5d-0.5d+4.5-4.5\implies 1d\implies d[/tex]
Consider the division statement 1/4 divided by 7/16
Answer:
4/7
Step-by-step explanation:
1/4 divided by 7/16 is the same thing as 1/4 * 16/7. Multiply this and you will get the fraction of 16/28. Once simplified, this comes out to be 4/7.
I NEED THE ANSWER |(-2+1)*3)|
Answer:
The answer is 3
Step-by-step explanation:
add -2+1 first equal -1 flip -1 to positive equal 1. Multiply 3*1 and that equals 3
A window in Lynn and Jorge's house needs to be
replaced. The rectangular window is 3 feet 5 inches
tall and 2 feet 7 inches wide. Change each of the
measurements to inches.
(a) Find the perimeter of the window in inches.
(b) If the perimeter needs to be sealed with insulation
that is $0.50 per inch, how much will it cost to insulate
the perimeter?
Answer: change to inches:41 inches tall. 31 inches wide. perimeter:144 inches. perimeter insulation: costs $72
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note: 1 foot is made up of 12 inches.
3 feet 7 inches = 3 * 12 + 7 = 36 + 5 = 41
2 feet 7 inches = 2 * 12 + 7 = 24 + 7 = 31
Part A
P = 2L + 2W Substitute the above Values into this equation
P = 2*41 + 2*31 Combine
P = 82 + 62 Add
Answer: P = 144
Part B
1 inch costs 0.5 dollars
144 inches cost x
1/144 = 0.5/x Cross Multiply
x = 144 * 0.5
Answer: x = 72 dollars
A customer in Maine orders a Dog Treat Bundle for $34.80. The sales tax in Maine is 5.5%. How much sales tax is collected on the order?
Answer/Step-by-step explanation:
GIven;
A customer in Maine orders a Dog Treat Bundle for $34.80.
The sales tax in Maine is 5.5%.
To Find;
How much sales tax is collected on the order?
Solve;
$34.80 * 5.5% = 1.914
Round: 1.914 = 1.91 [Sales tax added]
$34.80 + 1.91 = 32.89 [Total]
Hence, $1.91 sales tax is added and $32.89 is the total (include sales tax)
~Learn with lenvy~
Gabby is working on reducing traffic in her town. Last week, she tracked how many cars
drove down Main Street each hour. This box plot shows the results.
Cars per hour
20
60
100
140
180
120
1) What percent of the time did Main Street have 100 or more cars per hour?
The box plot represents the rate of cars in the Main Street per hour
25 percent of the time, the Main Street have 100 or more cars per hour
How to determine the proportion of the boxplot?From the box plot, we have the following parameter:
The upper quartile of the boxplot is 100
This means that:
Q3 = 100
The upper quartile is the 75% dataset
The actual percentage is then calculated as:
Actual = 100% - 75%
This gives
Actual = 25%
Hence, 25 percent of the time, the Main Street have 100 or more cars per hour
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solve pls brainliest
Answer:
1/4
Step-by-step explanation:
20n=5
n=5/20
n=1/4
therefore, it's 1/4
Answer:
1/4th
Step-by-step explanation:
All we need to do is get the N by itself, and since the 20 is multiplied by the N, we would divide to get rid of it on both sides. then we have n=5/20, and since 5 goes into 20 4 times, we can simplify it to 1/4th.
please mark as brianlest.
what are the coordinates of point G
Calculate distance of G from x and y axis(1 box=1unit)
x axis=8y axis=5So
the coordinate is
(x,y)=(5,8)Answer:
(5,8)
Step-by-step explanation:
x=5
y=8
(x,y)= (5,8)
Anwser for 4.5 times 3.6
Answer:
16.2
Step-by-step explanation:
calculator :0
Consider functions f and g
Answer:
A
Step-by-step explanation:
[tex] f(x) = \dfrac{x - 16}{x^2 + 6x - 40} [/tex]
[tex] g(x) = \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{1}{x + 10} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16}{x^2 + 6x - 40} + \dfrac{(x - 4)}{(x + 10)(x - 4)} [/tex]
[tex] f(x) + g(x) = \dfrac{x - 16 + x - 4}{x^2 + 6x - 40} [/tex]
[tex] f(x) + g(x) = \dfrac{2x - 20}{x^2 + 6x - 40} [/tex]
Answer: A
A 70kg person jumps off a staircase. They are going 5 m/s just before they hit the ground. How high up where they.
Answer:
0.02 seconds
Step-by-step explanation: A 70kg man jumps 1.00 meters down onto a concrete walkway. His downward motion stops in 0.02 seconds.
Answer:
1.25m
Step-by-step explanation:
v=u+gt
5=0+10t
5=10t
t=0.5s
s=ut+1/2gt^2
=0+(0.5×10×(0.5)^2)
=1.25m
Select Statistical or Not Statistical to classify each question.
Statistical Not Statistical
How many cups are in 3 gallons?
Statistical – How many cups are in 3 gallons?
Not Statistical – How many cups are in 3 gallons?
How many months are in a year?
Statistical – How many months are in a year?
Not Statistical – How many months are in a year?
How many brothers do you have?
Answer:
Statistical
Statistical
Not Statistical
Step-by-step explanation:
These are answered by data collection and has some form of variability while non-statistical question has no variability.
The questions asked above won't have any form of variability and requires no data collection thereby making all of them not statistical.
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A rectangular yard measures 12 feet by 10 feet. Find the cost of installing a fence around the yard if the fence costs
$3.10 per foot
Answer:
$372
Step-by-step explanation:
12 × 10 = 120
1 foot = $3.10
120 feet = ?
120 feet × $3.10
= $372
$372÷ 1 foot = $372
I will give you more points if you give me the correct answer
Step-by-step explanation:
2000 <= (178 + S) + S
remember, they needed to collect at least 2000 cans.
S = the number of cans Shane collected.
the number of cans Abha collected is 178 more than S (the number of cans Shane collected).
and from there we get
2000 <= 178 + 2S
1822 <= 2S
911 <= S
so, the solution set is
S >= 911
and
Abha >= 1089
Hello I'm just here to say if a question asks "circle all of the expressions that are equivalent to some type of math question do i pick more than one?
A news report says that 28%
28
%
of high school students pack their lunch.
Your high school has 600
600
students.
How many students in your high school would you expect to pack their lunch?
Three adjacent angles form a right angle . The measure of the largest angle is 5 degrees less than 3 times the measure of the smallest angle The measure of the median angle is 5 degrees more than the measure of the smallest angle . What is the measure of the largest angle ?
Answer:
Step-by-step explanation:
The length of a rectangle is 4 cm less than twice its width. The perimeter of the
rectangle is 58 cm. What are the dimensions of the rectangle?
Step-by-step explanation:
Let width be x
according to question
length = 2x-4
perimeter = 58
now,
perimeter = 2(length + width)
58 = 2(x+2x-4)
58 = 6x-8
6x = 66
x = 11
putting value of x in length
2x-4
= 2 X 11 -5
= 18
hence the dimensions of the rectangle is 18 and 11
Whoever gets it right get s brainlest This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic meters?
16 m3
24 m3
48 m3
144 m3
Answer:
48
Step-by-step explanation:
8x3x2= 48
Answer:
its 48
Step-by-step explanation:
8x3x2= 48
Destiny performs a hypothesis test on a population with µ = 115 and Sigma = 30. Her sample size is 25 with a mean of 120. 4. Which of the following correctly depicts the z-statistic for this data? 0. 04 0. 90 3. 53 3. 93.
The correct answer which refers to the z-statistic for this data is b)0.90.
What is a Hypothesis Test?The hypothesis Test refers to the statistical approach where the test is applied to an assumption regarding a population parameter.
It is given that µ = 115 and Sigma = 30.
sample size is 25 with a mean of 120.4
The formular for z-statistic is
z = (x – u) / (σ / sqrt n)
Therefore, we input the values and we get
z = (120.4 – 115) / (30 / sqrt 25)
We calculate further and we get
z = 0.90
Therefore, the correct answer is option b.
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Write a decimal that is greater than 3.3 and less than 3.73
Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7
Explain:
It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.
What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.
I hope that was helpful
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)
Answer:
2835 flowers
Step-by-step explanation:
We need the circumference of the garden, with it's 150' radius. Circumference, C, is given by: C = 2[tex]\pi[/tex]r. I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.
C = 2*(3.15)*150'
C = 945'
4 inches = 1/3 foot.
Every 1/3 of a foot of the circumference will have a flower. We can make this a conversion factor: 3 flowers/foot
Flowers = (945')*( 3 flowers/foot) = 2835 flowers
How many solutions does each polynomial have?
Answer:
Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.
Step-by-step explanation:
There was a bottle of milk at home. After the brother drank 1.94L of it, there were 0.56L left. How many litres of milk was there at the beginning?
Answer:
add the 1.94+0.56 to get 2.5 liter
Step-by-step explanation:
wow, he drank almost 2 liters of milk more or less in one turn ? he might spend quite some time in the bathroom ...
anyway, x = original amount of milk.
x - 1.94 = 0.56 now we add 1.94 to both sides
x = 2.5 L