Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.
Step-by-step explanation:
The solution for the given system of linear equations is (32/69, -10/23).
The given system of equations are 3x-6y=4 and 6x+11y=-2.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Here,
3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)
Multiply equation (I) by 2, we get
6x-12y=8 ---------(III)
Subtract equation (III) from (II), we get
6x+11y-(6x-12y)=-2-8
⇒ 23y=-10
⇒ y=-10/23
Substitute y=-10/23 in (I), we get
3x-6(-10/23)=4
⇒ 3x+60/23=4
⇒ 3x=4-60/23
⇒ x=32/69
So, solution is (32/69, -10/23)
Therefore, the solution for the given system of linear equations is (32/69, -10/23).
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How do you solve for this ?
which number is irrational number √79 0r √100000
I need help, fast- please-
Answer:
since she subtracted 15 5 time a total of 5 rafts are needed
Step-by-step explanation:
Is 90 a perfect cube
Answer:
No, the first ten perfect cubes are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.
Find 4+(−1 2/3). Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{7}{3}[/tex]
I hope this helps!
Answer:
2 1/3
Step-by-step explanation:
A pancake mix requires 5 cups of flour for every 10 pancakes. How much flour is used per pancake?
So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)
what is the full from of math
Answer:
the full form of math is mathematics
hope it helps
Answer:
full form of mathematics. Explanation: M-miracle of nature. A-art of arithmetic. T-tool of knowledge.
Hope this helps, have a great day/night, and stay safe!
The formula for throwing a baseball in the air is represented by the attached function, where h represents the height of the ball in inches, and t represents time. How high is the baseball after 3 and a half seconds?
h(t)=-3t^2+12t+40
Answer:
45.25 in
Step-by-step explanation:
To solve this question you would plug 7/2 or 3.5 in for t and solve for h(t).
h(t)=-3(7/2)^2+12(7/2)+40
=-3(49/4)+(84/2)+40
=(-147/4)+42+40
=-36.75+42+40
=45.25 in
HELP! i can not figure this out! y=4x+1
Answer:
1
Step-by-step explanation:
- A rectangular pool has an area of 140 square feet. If the length of the
pool is 16 feet, what is its width?
Answer:
8.75 feet
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the area and length, and solve for w:
A = lw
140 = 16w
8.75 = w
So, the width is 8.75 feet
Answer:
8.75 ft
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width
Plug in the area and length, and solve for w:
A = lw
140 = 16w
8.75 = w
So, the width is 8.75 feet
Amber is designing cylindrical containers that are each 2 meters tall. Which graph
shows the relationship between the radius (x) of each cylinder and its volume (/)?
Answer:
Step-by-step explanation:
Answer:
Look at pik...........................................
0.25 divided by 2.65
Answer:
0.09433962264
Step-by-step explanation:
Hamid has gained weight.
He now weighs 88kg, whish is higher than his normal weight
What is Hamid's normal weight?
i really need help with this fast!!
Answer:
Hello. y=1/2x-2
Step-by-step explanation:
The line that is perpendicular to this line ،its slope must be 1/2
So:
[tex]y - y0 = m(x - x0) \\ y - 2 = \frac{1}{2} (x - 8) \\ y = \frac{1}{2} x - 2[/tex]
Which of the following quotients are negative? Check all that apply.
2.2 ÷ 9.5
–0.5 ÷ 0.021
–1.3 ÷ –54.321
0.4 ÷ –0.4
Answer:
b and d
Step-by-step explanation: i did the assignment
According to the WHO report, girls who are 2-years old have a mean head circumference of 47.18cm with a standard deviation of 1.40 cm. A two year old girl with Down's syndrome has a head circumference of 44.5 cm. Children with Down's syndrome typically have smaller heads, so this is not surprising. 1. Relative to the WHO data, what is this girls z-score? What does the z score tell us? 2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
Answer:
1. z = -1.91429
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. 2.7792%
Step-by-step explanation:
1. Relative to the WHO data, what is this girls z-score?
z score formula is:
z = (x-μ)/σ, where
x is the raw score = 44.5 cm
μ is the population mean = 47.18cm
σ is the population standard deviation = 1.40cm
z = 44.5 - 47.18/1.40
z = -1.91429
What does the z score tell us?
The z score tells us that the head circumference of the girl with the down syndrome ( 44.5 cm) is 1.91429 standard deviations below the mean or average head circumference
2. Using the WHO data in a normal model, what percentage of the girls has a head circumference that is smaller than the girl with Down's Syndrome?
z score = -1.91429
Probability value from Z-Table:
P(z =-1.91429) = P(x<44.5) = 0.027792
Converting to percentage = 0.027792 × 100
= 2.7792%
How many solutions does 5(2x-3)=5 have
Answer:
1
Step-by-step explanation:
because it is a linear equation
in the circle shown, AB is tangent to circle o at point and OC is a radius
Which relationship is true?
Answer:
A. [tex] \overline{OC} \perp \overline{AB} [/tex]
Step-by-step explanation:
According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.
Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:
[tex] \overline{OC} \perp \overline{AB} [/tex].
This means the radius of the circle is perpendicular to the tangent formed at point C.
please help me asap
6 = 2(y + 2)
Solve for Y.
Answer:
6=2(y+2)
distributive property
6=2(y)+2(2)
6=2y+4
-4 -4
2=2y
-- --
2 2
divide two in both sides to get y by itself
y=1
Answer:
y = 1
Step-by-step explanation:
6 = 2 (y + 2)
Distribuite:
2 * y = 2y
2 * 2 = 4
2y + 4 = 6
Use additive inverses. The additive inverse of addition is subtraction.
Subtract 4 from both sides:
2y + 4 - 4 = 6 - 4
6 - 4 = 2
2y ÷ 2 = 2 ÷ 2
2y ÷ 2 = y
2 ÷ 2 = 1
To check our answer we multiply how much y is (which is 1) by 2.
2(1) + 4 = 6
2 * 1 = 2
2 + 4 = 6.
Helpp!
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table
| city | cost ($) | Tax rate |
| A | 250 | 12.5% |
| B | 215 | 14.75% |
What is the difference in cost between the two cities for a weekend trip? Round to nearest cent
Answer:
$34.54Step-by-step explanation:
city A
$250 x 1.125 $281.25city B
$215 x 1.1475 $246.713difference between the two cities = $281.25 - $246.713
= $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.
City Cost ($) Tax rate
A $250 12.50%
B $215 14.75%
Then the difference in cost between the two cities for a weekend trip will be given as,
⇒ $250 × 1.1250 - $215 × 1.1475
⇒ $281.25 - $246.71
⇒ $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
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9/2 ÷ 3/4
Please help me
1.4y+5-4.2-5y^2+z
It has something to do with combing like terms
Identify the number of terms, variable terms and constant terms in the following expression.
Answer:
Step-by-step explanation:
[tex]4y+5-4.2-5y^{2}+z[/tex]
constant terms: 5 and -4.2 equals 0.8
No matching variable terms.
[tex]-5y^{2} + 4y+z+0.8[/tex]
4 total terms
Tell whether the triangle with the given side lengths is a right triangle.
14 ft, 48 ft, 50 ft
Yes
No
Answer:
Yes
Step-by-step explanation:
a^2+b^2=c^2
14^2+48^2=50^2
196+2304=2500
2500=2500
PLEASE HELP I'LL GIVE YOU 23 POINTS
THERE IS A SCREEN SHOT BUT JUST IN CASE YOU CANT ACCESS IT I'LL ADD THIS!
In the figure shown, line AB is parallel to line CD.
Part A: What is the measure of angle x? Show your work. (5 points)
Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)
AB and CD are parallel lines, and PQ and PR are transversals which intersect AB at P and CD at Q and R. Angle APQ is labeled as 65 degrees, angle QPR is equal to x, angle PRD is equal to 120 degrees.
Answer:
45 degrees
Step-by-step explanation:
pretty sure
Answer:
x = 55
Step-by-step explanation:
to find angle BPR you would do:
180 - 120 = 60
so BPR is 60°
now to find x you do this:
65 + 60 + x = 180
125 + x = 180
x = 55
What is the sign of B + A? Choose 1 answer: Positive B Negative Neither positive nor negative-the sum is zero.
Help! Almost a 50 Pointer! Lets see if you can do it!
answer: basketball c;
You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?
Elizabeth Martz
Answer:
A= 63.6$
B= 51$
C= 54.6
D= ??? (sorry)
Step-by-step explanation:
hope this helps!
The answers to each part is given below.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you buy a watch for $60.
{a} -Total cost of watch -
{C} = ${60 + (6% of 60)}
{C} = ${60 + (6/100 x 60)}
{C} = $(60 + 3.6}
{C} = $63.6
{b} -New sale price -
{D} = 60 - (15% of 60)
{D} = 60 - (15/100 x 60)
{D} = 60 - 9
{D} = $51
{c} -Total cost of watch including tax -
{CT} = 51 + (6% of 51)
{CT} = 51 + 3.06
{CT} = 54.06
Therefore, the answers to each part is given above.
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Find x no need for explanation I just need answer thanks
Answer:
x = 12 m
Step-by-step explanation:
Length = x m
Width = 3⅔ = 11/3
Area = 44 m²
Area of rectangle = length × width
Plug in the values into the equation
[tex] 44 = x \times \frac{11}{3} [/tex]
[tex] 44 = \frac{11x}{3} [/tex]
Multiply both sides by 3
[tex] 44 \times 3 = \frac{11x}{3} \times 3 [/tex]
[tex] 132 = 11x [/tex]
Divide both sides by 11
[tex] 12 = x [/tex]
x = 12
PLEASE HELP ME I NEED THE ANS IN 5 mins
A)it is not possible to tell whether a is greater than or less than zero
b) a is less than zero
c)a is greater than zero
d) a=-1
Answer:
A
Step-by-step explanation:.................