3
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA.
It has no solution.
B.
It has infinite solutions.
O c.
It has a single solution: x = 15, y= 17.
OD
It has a single solution: x= -3, y = 26.

Answers

Answer 1

Answer:

X= –3, y=26

Step-by-step explanation:

3X+Y=17====> –2(3X+Y)=–34===> –6X–2Y=–34

X+2Y=49

Aight so let's head to the sum

–5X=15===> X=–3

–3+2Y=49===> 2Y=52===> Y=26


Related Questions

Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.

Answers

Answer:

-10

Step-by-step explanation:

Inverse equation: x= -13y +52

simplify: y=-1/-13x + 4

Plug in for x: y= 1/-13 (182) +4

=   -10

Answer:

y = -10

Step-by-step explanation:

x = -13 y + 52

y = (x - 52)/-13

~~~~~~~~~~~~~~~~~~

y = (182 - 52)/-13

y = -10

Enter a recursive rule for the geometric sequence.

5, -10, 20, -40,...

a^1 = __; a^n = __

Answers

Answer

a^1=-2,5

a^n=a×a^n-1

The afternoon classes in a school begin at 1 PM
and end at 3:52 PM. There are 4 class periods
with 4 minutes between classes. How many
minutes are there in each class period?

Answers

Answer:

39 minutes

Step-by-step explanation:

Ok so first I found the difference between 1pm and 3:52 pm and it was 2 hours and 52 minutes

So then I took the 4 class periods and times it by for to see to total of minutes between class periods which was 16

Then I subtracted 16 for 52 to get 36 minutes

So now the time for class periods was 2.36 minutes

So I took that numbers and divided it by the 4 class periods and got 39 minutes.

Wow those are short class periods, mine are normally like an hour, but anyways hope this helped :). If I'm wrong please correct me. :)

There are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The afternoon classes in a school begin at 1 PM and end at 3:52 PM.

Duration of school = 2 hours and 52 minutes

Or

Duration of school = 172 hours

There are 4 class periods with 4 minutes between classes.

Duration of classes = 172 - 4(3)

Duration of classes = 172 - 12

Duration of classes = 160 minutes

Total minutes for each class period = 160/4 = 40 minutes

Thus, there are 40 minutes in each class period if the afternoon classes in a school begin at 1 PM and end at 3:52 PM.

Learn more about the arithmetic operation here:

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Help urgent In a class of 35 students 15 of them have cats 16 have dogs 3 hangs none how many probability does have both

Answers

Answer:

9/25

Step-by-step explanation:

Number of student who has cat , dog = 25 - 3 = 22

Number of students who has cat and dogs = (15 + 16) - 22

                                                                       = 31 - 22 = 9

Number of students who has only cats = 15 - 9 = 6

Number of students who has only dogs = 16 - 9 = 7

P(Cat & dog) = 9/25

Find the volume of a pyramid with a square base, where the area of the base is 12.5 ft ^2 12.5 ft
2
and the height of the pyramid is 16 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

833.3 ft^3

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

((12.5)(12.5)(16))/3

((156.25)(16))/3

2500/3

833.3 ft^3

Hope this helps (●'◡'●)

The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

The formula for the volume of a pyramid is:

V = (lwh)/3

V = volume

l = length of base

w = width of base

h = height of pyramid

Now we just correspond the values with the variables:

l = 12.5

w = 12.5

h = 16

And plug these values into the formula:

=((12.5)(12.5)(16))/3

=((156.25)(16))/3

=2500/3

=833.3 ft^3

Hence, The solution is : the volume of a pyramid with a square base is 833.3 ft^3.

To learn more on volume click :

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which of the following is the symbol for parallel lines AB and XY?

Answers

Answer

A is the symbol for parallel lines AB and XY.

Explanation

B shows that line segment AB and XY are parallel, because there are no arrows, and line segments do not extend forever.

C shows that ray AB and XY are parallel, because there is one arrow, and rays only extend on one point.

Only A shows that line AB and XY are parallel. Lines extend forever, the A shows that AB and XY are parallel, since there are arrows in both directions above AB and XY.

The price of an item changed from $175 to $150. Later, the price decreased to $125. Which of the two decreases was larger in percentage and how much is it?

Answers

Answer:

The second decrease is larger at 16 1/6% decrease

Step-by-step explanation:

175 to 150

Take the original price minus the new price divided by the original price

(175 -150) /175 =25/175 = 1/7 =.142857143 = 14.28 % decrease

150 to 125

Take the original price minus the new price divided by the original price

( 150-125)/150 = 25/150 = 1/6 =.16666 = 16 1/6 % decrease

The second decrease is larger at 16 1/6% decrease

Expand : (3x+5y)²
please answer​

Answers

Answer:

FOIL:  [tex]9x^2 +30xy + 25y^2[/tex]

(3x + 5y)(3x+5y)

F: 3x*3x

O: 3x*5y

I: 5y*3x

L: 5y*5y

[tex]9x^2 +30xy + 25y^2[/tex]

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

3 Answers:Choice BChoice DChoice E

===============================================================

Explanation:

Unfortunately your teacher is a bit vague here, but I'm assuming that the roots listed in the table are the only roots (and there aren't any other roots possible). If other roots were possible, then we'd have infinitely many possible answers and it would greatly muddy up the problem.

So we'll just stick to the basic assumption that the only roots are: -2, 0, and 2.

With that key assumption in mind, let's look at the answer choices to see which are true and which are false.

A) False. This is because we see that f(x) = -15 when x = -3. Note how x = -3 is in the interval [tex](-\infty, 3)[/tex]. In other words, this is a counter example showing that f(x) > 0 is not the case when x is between -infinity and 3.B) True. Over the interval [tex]0 \le x \le 2[/tex], we have f(x) either equal to 0 or a negative value. For the interval 0 < x < 2, we would have f(x) < 0.C) False. The table shows that f(0) = 0 which means we aren't making f(x) < 0 to be the case. D) True. The table shows that if -2 < x < 0, then f(x) is positive. An example of this is f(-1) = 3 which is positive. The f(x) values in this region are above the x axis. E) True. We have f(x) either equal to 0 or something larger when [tex]x \ge 2[/tex] which translates over to the interval notation [tex][2, \infty)[/tex]

From that list above, we see that choices B, D and E are true.

Please help!! I am literally in tears!!
Without graphing, explain how you know the equation
y = - 1/2x^2 - 7 will be compressed
(compared to the parent function of y=x^2).

Answers

Answer:

 

" because the coefficient of the x^2 term is less than 1 (between -1 and + 1)  

y = x^2 looks like a big U with the vertex (bottom) "kissing" the origin (0,0)

if you add 1 to the equation y = x^2 + 1 it shifts UP one  

if you subtract 3 y = x^2 -3 it shifts down three ....

if you change it to look like this y = (x+4)^2 it shifts (slides) to the LEFT 4 units..

note that this slide is opposite to the sign + 4 left slide , - 4 right slide...

NOW YOUR QUESTION !!!! if the coefficient is > 1  

y = 99 x^2 then the graph gets "skinny" goes up faster...

if it is less than one (between -1 past 0 to +1 ) then it flattens out

Bottom line here your coefficient is a "-1/2"  

so YOUR GRAPH IS A ∩ (goes downward) and is FLATTER than the normal ∪

I hope that this helps

Step-by-step explanation:

An isosceles triangle has been constructed so that its height is half its base. Find the dimensions of the
triangle if the area is 64 m².

Answers

Answer: 4 8×8= 64 half the base which is 8 =4

Step-by-step explanation:

Answer:

height = 8 m

base = 16 m

Step-by-step explanation:

Let base = 2x m

So, height = half its base = [tex]\frac{2x}{2} = x \ m[/tex]

Area = 64 m²

[tex]\frac{1}{2}* \ base* \ height = 64\\\\\\\frac{1}{2}* 2x * x = 64[/tex]

 x * x = 64

x * x = 8 * 8

x = 8 m

Base = 2x = 2*8 = 16 m

An alloy of copper and zinc which contains 5 grams of zinc. If 15 grams of zinc are added to this alloy, a new alloy is obtained in which the copper content has been reduced by 30% from the original. Find the initial mass of the alloy

Answers

Answer:

Initial mass = 25 grams

Step-by-step explanation:

[tex]\left(\frac{x}{x+20}\right)\:=\:\:\left(\frac{x}{x+5}\:-.3\:\right)[/tex]

x = 20 (mass of copper)

[tex]\frac{20}{20+5} = .8 = 80[/tex] percent

[tex]\\\frac{20}{20+15} = .5 = 50[/tex] percent  

Katherine Johnson is organizing the sale of supplies for the space mission. On the first day you of sales Dorothy Vaughan purchased 3 blankets and 9 trays for a total of $75. Mary Jackson spent 67 on the second day by purchasing 8 blankets and 5 food trays. What is the price of one blanket ticket and one food tray?

Answers

divide 3 and 75 to get the answer for the blankets, and 9 divide 75. 3 divided 75 is 25; and 9 divide 75 is 8.33$ i think sorry if this is wrong

what is the difference

Answers

Answer:

what is question of this you asked

A shopkeeper bought two watches for rs. 400 . He sold them to gain 5 % on one and 5 % loss on other . Calculate his final gain or loss percent of the selling price of both watches is same . ​

Answers

Answer:

69

Step-by-step explanation:

1234567890

Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.

Answers

Answer:

The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD)   because the measure of an intercepted arc is equal to the measure of its corresponding central angle.

Explanation:

sample answer from edmentum

Expand and Simplify
10a-(3a+7)

Answers

The answer would be 7(a - 1)

Solve for - 1/2 x < -12. Show your work.

Answers

Answer:

x > 24

Step-by-step explanation:

- 1/2 x < -12

Multiply each side by -2, remembering to flip the inequality

-2 * -1/2x > -12 *-2

x > 24

Answer:

[tex]x > 24[/tex]

Step-by-step explanation:

[tex] - \frac{1}{2} x < - 12 \\ x < - 12 \times 2 \\ - x < - 24 \\ x > 24[/tex]

The figure that will be formed if two 45° 45° 90° setsquares are put together is _________.​

Answers

It would be a triangle

SOMEONE HELP ME PLEASE

Answers

Answer:

I D K u tell me

Step-by-step explanation:

this is what u answersed another he/she question repeating u

Answer:

SHEEESSHHHHHHHHHH

Step-by-step explanation: life goes around and around

Solve the system of equations.

Answers

Answer:

(-1,3) and (2,6)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

The graphs intersect at x=-1 and y =3  and x = 2 y=6

(-1,3) and (2,6)

The population of a town is 157,220 and is decreasing at a rate of 0.8% each year. Predict the population in 5 years (round to the nearest whole number).

Answers

Answer:

151,031

Step-by-step explanation:

If the population of a town is decreasing at 0.8% each year, the new population of the town will be [tex]100\%-0.8\%=99.2\%[/tex] of what it was last year. To find 99.2% of something, multiply it by 0.992. Therefore, we can write the following equation:

[tex]f(x)=157,220\cdot 0.992^x[/tex], where [tex]f(x)[/tex] is the population of the town [tex]x[/tex] years after the town had a population of 157,220.

Substitute [tex]x=5[/tex] into this equation to get the projected population after 5 years:

[tex]f(5)=157,220\cdot 0.992^5, \\f(5)=151031.019048,\\f(5)\approx \boxed{151,031}[/tex]

Therefore, in 5 years, the population should be 151,031.

Please help me solve this question!!

Answers

Answer:

Step-by-step explanation:

help please!! congruent figure

Answers

3x+4=72
3x=72-x-4
3x=68-x
4x=68
x=68/4
x=17

What Kind of Triangle is shown?

A. Isosceles Triangle

B. Acute Triangle

C. Scalene Triangle

D. Equilateral Triangle

Answers

Answer:

C

Step-by-step explanation:

C because it has sides unequal in length.

Answer: C

Step-by-step explanation:

Isosceles: 2 sides equal

Acute: angles are less than 90 degrees

Scalene: All side lengths are different

Equilateral: All sides are equal

please help me for this​

Answers

What is the question you are trying to figure out?

The factor of x?

An item on sale costs 80% of the original price. The original price was $41.​

Answers

Answer:

$32.80

Step-by-step explanation:

So you are trying to find out how much does the sale price cost?

Ok convert $41 into a decimal

$41 = $0.41

Then multiply 80% x $0.41

80 x $0.41 = 32.80

Answer:

$32.8

Step-by-step explanation:

Solve using a proportion

if 100%= $41 and 80% = x, then you cross multiply, and you get 100x = 41 (80), which would become 100x = 3280. Then you divide by 100 on both sides to get 32.8, which would be your answer!

If F is conservative, find all potential functions f for F so that F = ∇f. (If F is not conservative, enter NOT CONSERVATIVE. Use C as an arbitrary constant.)

Answers

Answer: some parts of your question is missing below is the missing data

Determine if the given vector field F is conservative or not. F = −6e^y, (−6x + 3z + 9)e^y, 3e^y

answer:

F is conservative

F = -6xe^y + ( 33 + 9 ) e^y + C

Step-by-step explanation:

The Potential functions for F so that F = ∇f.

F = -6xe^y + ( 33 + 9 ) e^y + C

attached below is a detailed solution

if 3A =2b=5c, then find A:B:C​

Answers

Answer:

10:15:6

Step-by-step explanation:

let 3A=2B=5C

then,A=1/3,B=1/2,=1/5

therefore:A:B:C=1/3,1/2,1/5

10:15:6/30=10:15:6

Amanda woke up at 6:15 Am and slept 8 and 40 minutes at what time did Amanda go to bed

Answers

she slept at 9:35 am

hope it helps :)

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