All categories

2 years ago

Which ordered pair is a solution to the system of equations? A (1,3) B (7, -5) C (8,2) D (-2, -3)

Mathematics

1 answer:

photoshop1234 [79]2 years ago

8 0

2x - y = -1
2x - 4y = 8
-------------------subtract
3y = -9
y = 3

2x - y = -1
2x - 3 =-1
2x = 2
x = 1

solution (1,3)
so answer A

You got it right

You might be interested in

At a store each notebook has a cost of x dollars. Which situation can be represented by this inequality?

kakasveta [241]

Answer:

x<1

Step-by-step explanation:

6 0

2 years ago

As an estimation we are told £3 is €4.

poizon [28]

Answer:

€113.87

Step-by-step explanation:

Amount = £85.40 * €4/£3 = €113.87.

3 0

2 years ago

Read 2 more answers

Chris made hamburgers for his family and they each had a diameter of 3 in. If he made 16 hamburgers.

Alenkasestr [34]

Answer:

The total area for all 16 hamburgers is 113.04 in².

Step-by-step explanation:

Given:

Chris made hamburgers for his family and they each had a diameter of 3 in.

If he made 16 hamburgers.

Now, to find the total area for all 16 hamburgers.

So, the diameter 3 in is given and we need first to find the radius:

$Radius\ (r)=\frac{Diameter}{2} =\frac{3}{2} =1.5\ in.$

Now, to get the area of a hamburger we put formula:

(Taking the value of π = 3.14.)

$Area=\pi r^2\\\\Area=3.14\times (1.5)^2\\\\Area=3.14\times 2.25\\\\Area=7.065\ in^2.$

Now. to get the total area of 16 hamburgers by multiplying 16 by the area of a hamburger:

$7.065\times 16\\\\=113.04\ in^2.$

Therefore, the total area for all 16 hamburgers is 113.04 in².

7 0

2 years ago

Find the size of each of 66 payments made at the end of each year into a 88% rate sinking fund which produces $36000 at the en

Assoli18 [71]

Answer: $7787.99

Step-by-step explanation:

We know that the formula to find the periodic payment on an annuity is given by :-

$P=\dfrac{r(PV)}{1-(1+r)^{-n}}$ , where PV is the present value , r is the rate of interest ( in decimal ) and n is the number of payments.

Given : Present value : $36000

Rate of interest = 8%=0.08

Time period = 6 years

Then , the periodic payment will be :-

$P=\dfrac{(0.08)(36000)}{1-(1+0.08)^{-6}}\\\\\Rightarrow\ P=\dfrac{2880}{0.3698}\\\\\Rightarrow\ P=\$7787.99$

Hence, the payment size is $7787.99.

8 0

2 years ago

10 POINTS! Answer ASAP

ratelena [41]

m5=75 degrees

m11=75 degrees

m16=65 degrees

To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.

180-105=75

To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.

To find 16, we use a combination of the methods used in finding the previous angles.

180-115=65 degrees is angle 4

Angle 4=Angle 16

Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.

8 0

2 years ago