Solve the simultaneous equations
7x + 2y = 22
3x + 4y = 11​

Answer:

3/2y -5

Step-by-step explanation:

-1/2 (-3y+10)

Distribute

-1/2* -3y + -1/2*10

3/2y -5

Answer:

3/2y - 5

Step-by-step explanation:

To do this question, we will need to use the distributive property. Multiplying the number outside of the terms in the parenthesis gives us:

-1/2(-3y+10) --> 3/2y - 5

Answer:

(x,y)= (-2,24)

Step-by-step explanation:

Answer:

(0,-4) & (-1,10)

Step-by-step explanation:

solve for the first variable in one equation then substitute the result into the other equation.

Point form:

(0,-4) & (-1,10)

Equation form:

x=0 y=-4

x=-1 y=10

Answer:

The pressure exerted by gas number 3 is 159 mmHg

Step-by-step explanation:

To answer this question, the law to Use is Dalton’s law of partial pressure

Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.

Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3

Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg

P3 = Pt-P1-P2

Plugging the values above, we have ; 950-335-456 = 159 mmHg

Answer:

No water

Step-by-step explanation:

Answer:

length = 5 meters

width = 2 meters

Step-by-step explanation:

The volume of parallelepiped is given by:

Volume = length * width * height.

If the volume is 50 m3, the length is x + 3, the width is x and the height is 5 m, we can use the volume equation to find the value of x:

50 = (x+3) * x * 5

10 = (x+3) * x

x^2 + 3x - 10 = 0

Using Bhaskara's formula, we have:

Delta = 3^2 + 4*10 = 49

sqrt(Delta) = 7

x1 = (-3 + 7)/2 = 2

x2 = (-3 - 7)/2 = -5 (This value would cause negative measurements, so it is not a valid answer)

So with the value of x = 2, we can find the length and the width of the tank:

length = x + 3 = 2 + 3 = 5 meters

width = x = 2 meters

Answer:

-9.5116

Step-by-step explanation:

-1.58 * 6.02.

The easy way is to use your calculator.

To do it manually  you can multiply -158 by 2, then by 10 and then by 600.

Add these 3 results.

This gives -95116.

Now you have 4 numbers after the decimal point in -1.58 and 6.02 so counting from the right  in -95116 we locate the decimal point:

= -9.5116.

Answer:

  61 °F

Step-by-step explanation:

If T is the temperature at 8 a.m., we have ...

  T +8 +4 -11 = 62

  T +1 = 62

  T = 61 . . . . . . subtract 1

The temperature was 61 °F when Nina woke up.

So the right answer is √314 units.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Step-by-step explanation:

1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.

48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.

Answer:

10 feet

Step-by-step explanation:

It becomes a right-angled triangle with height of 8feet and base of 6feet.

Using Pythagoras theorem:

a² = b² + c²

a² = 8² + 6²

a² = 64 + 36

a² = 100

a = √100

a = 10

Answer:

6) a.

7) d.

8) a.

I hoped this helped! Please mark me brainliest. Thanks!

Answer:

0.1667 = 16.67%.

Step-by-step explanation:

We already know that the card drawn is blue, so now we need to check the value of the card.

The blue cards have 6 possibilities of values (2, 3, 4, 5, 6 or 8), and the number 4 appears only 1 time, so the probability of the blue card having the value 4 is the number of times this value occurs by the number of possible values:

P = 1/6 = 0.1667 = 16.67%.

Answer:

A.The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

Give the credit to the other person,

It should be A: 1 ounce of hamburger patty has approximately 3/17 grams of protein and 1 ounce of fish has 3/16 grams of protein.

Answer:

was

Step-by-step explanation:

lol

Answer:

6 because 30 / 5 is 6

Step-by-step explanation:

Answer:

A = $ 9,257.50

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 2,257.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

The circumference of a circle is the distance around the outside of a circle. If we can find the circumference of the wheel, we can find out how far Elena can travel when her wheel turns one time.  If we can find out how far she travels in one wheel turn, we will multiply that distance by 840 to see how far she travels when her wheels turn 840 times.

[tex]C=2\pi r[/tex] and

C = 2(3.14)(.25) so

C = 1.57 m

1.57 x 840 = 1318.8 meters

Answer:

84 different ways

Step-by-step explanation:

you have to do

7+6+5+4+3+2+1=28

6+5+4+3+2+1=21

5+4+3+2+1=15

4+3+2+1=10

3+2+1=6

2+1=3

1=1

28+21+15+10+6+3+1=84

84 different ways

Answer:

1

Step-by-step explanation:

The leading coeffecient is the number behind the x^2 value. There is an imaginary one there.

Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...

Answer:

f(8) = 44

Step-by-step explanation:

f(x) = 6x-4

Let x = 8

f(8) = 6(8) - 4

Multiply

     = 48 -4

    = 44

Answer:1 and 2

Step-by-step explanation:

Given

Volume needed [tex]V=220\ in.^3[/tex]

For first cylinder

[tex]r=3\ in.[/tex]

[tex]h=4\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_1=\pi (3)^2(4)[/tex]

[tex]V_1=113.11\ in^3[/tex]

For second cylinder

[tex]r=4\ in.[/tex]

[tex]h=4\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_2=\pi (4)^2(4)[/tex]

[tex]V_2=201.08\ in^3[/tex]

For Third cylinder

[tex]r=9\ in.[/tex]

[tex]h=9\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_3=\pi (9)^2(9)[/tex]

[tex]V_3=2290.51\ in^3[/tex]

For fourth cylinder

[tex]r=4\ in.[/tex]

[tex]h=9\ in.[/tex]

[tex]V=\pi r^2h[/tex]

[tex]V_4=\pi (4)^2(9)[/tex]

[tex]V_4=452.448\ in^3[/tex]

So, cylinder [tex]1[/tex] and [tex]2[/tex] are appropriate as it is under [tex]220\ in.^3[/tex]

Answer:

1, 2, and 4.

Step-by-step explanation:

Don't forget for these 3 you had to cut the diamiter in half to get the radius.

Answer:

26 blocks

Step-by-step explanation:

 To determine the number of blocks Tommy walked, you will calculate the distances between each of his points (ordered pairs).

Using the distance formula i.e[tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

(0,0) to (0,6) is : [tex]\sqrt{(0-0)^2+(6-0)^2}[/tex] = 6 blocks  

(0,6) to (7,6) is: [tex]\sqrt{(7-0)^2+(6-6)^2}[/tex]= 7 blocks

(7,6) to (7,0) is: [tex]\sqrt{(7-7)^2+(0-6)^2}[/tex] = 6 blocks

(7,0) to (0,0) is: [tex]\sqrt{(0-7)^2+(0-0)^2}[/tex] = 7 blocks, back home

This totals 26 blocks that Tommy walked.

Answer:

I couldnt figure out the irregular polygons, so im sorry

Step-by-step explanation:

2.

[tex]A=wl=7*2=14in^2\\P=2(l+w)=2*(2+7)=18in[/tex]

3.

[tex]P=8a=8*3=24cm[/tex]

4.

[tex]A=wl=40*97=3880mm^2\\P=2(l+w)=2*(97+40)=27mm[/tex]

5.

[tex]A=wl=4*13=52cm^2\\P=2(l+w)=2*(13+4)=34cm[/tex]

6.

[tex]A=wl=3*8=24cm^2\\A=wl=2*6=12cm^2\\=36cm^2\\P=2(l+w)=2·(8+3)=22cm\\P=2(l+w)=2*(2+6)=16cm\\=38cm[/tex]

8.

[tex]A=wl=4*9=36cm^2\\A=wl=8*3=24cm^2\\=60cm^2\\P=2(l+w)=2*(4+9)=26cm\\P=2(l+w)=2*(8+3)=22cm\\=48cm[/tex]

9.

[tex]A=wl=7*11=77cm^2\\A=wl=2*5=10cm^2\\=87cm^2\\P=2(l+w)=2*(7+11)=36cm\\P=2(l+w)=2*(2+5)=14cm\\=50cm[/tex]

Answer:

Step-by-step explanation:

2 = m / 2  - 7

2 + 7 = m / 2

9 = m / 2

cross  multiply

m = 9 * 2

Therefore m = 18

Hope u understood and it helped.

Answer:

24 inches represents 9 miles in the map

Step-by-step explanation:

To solve this problem you take into account that 8 inches represents 3 miles and that x represent the number of inches for 9 miles. That is:

8 ------- 3

x ------- 9

This is simply a rule of three, then you calculate:

[tex]x=\frac{8\ x\ 9}{3}=\frac{72}{3}=24[/tex]

Hence, 24 inches represents 9 miles in the map

Answer:

30) A)

31) C)

32) A)

33) A)

34) A)

Step-by-step explanation:

30) Reflection over the x -axis  (x,y)→(x,−y)

31) Rotation 180° about the origin (x, y)→(-x, -y)

32) Rotation 180° about the origin (x, y)→(-x, -y)

33) Translation 1 unit left (x, y)→(x-1, y)

34) Rotation 180° about the origin (x, y)→(-x, -y)

Answer:

P = 74

Step-by-step explanation:

14 + 60 = 74