Given the system of equation 7x-3y = 48 .......Eq 1 2x+ y = 35 ........Eq 2 __________ To solve this system by elimination and multiplication , i can ...............................

Answer:

(1 + x)(p - q)

Step-by-step explanation:

Given

p - q - x(q - p) ← distribute parenthesis by - x

= p - q - qx + px ← rearrange terms in p and terms in q

= p + px - q - qx ( factor first/second terms and third/fourth terms )

= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term

= (1 + x)(p - q)

Answer:

26

Step-by-step explanation:

10+(10x3)-2(10-3)=

10+30+-2(7)=

40-14=

26

Answer:

$420

Step-by-step explanation:

Given data

GIven ratio=  2:3

The total ratio= 2+5= 7

Ann's share= $120

Let us apply the part to all approach

let the total amount be x

so for Ann

2/7= 120/x

cross multiply

2x= 120*7

2x= 840

divide both sides by 2

x= 840/2

x= 420

Hence the amount shared is $420

Answer:

Step-by-step explanation:

Answer:

x=5, y=7

Step-by-step explanation:

2x+4y= 38

+7x-4y= 7

9x= 45

9x/9= 45/9

x=5

2x+4y=38

2(5)+4y= 38

10+4y= 38

-10 -10

4y= 28

4y/4= 28/4

y=7

Answer:

Jehle is correct.

Step-by-step explanation:

Given - Jehle and Liam a both solving 0.5÷200.

Jehle says the quotient will be Less than 0.5.

Liam says the quotient would be more than 0.5

To find - Which student is correct ?

Proof -

Given expression is 0.5 ÷ 200

It is equivalent to

[tex]\frac{0.5}{200} = \frac{5}{2000} = \frac{1}{400}[/tex] = 0.0025 < 0.5

∴ we get

The expression is Less than 0.5

So, Jehle is correct.

Answer:

12

Step-by-step explanation:

lower quartile is the median of 11, 12, and 16

Answer:

$248

Step-by-step explanation:

given:

4 deposits

$62

solve:

4 × $62= $248

Answer:

$248

Step-by-step explanation:

You can answer it two ways:

1) add 62 + 62 + 62 + 62 = 248

2) multiply 4 * 62 = 248

Answer: $248

Answer:

55/4=13.75

Step-by-step explanation:

3+1/3=10/3

4+1/8=33/8

(10/3)(33/8)

(33x10)/(3x24)

330/24

55/4

Hope that helps :)

Answer:

The answer is D

Answer:

(9, 57/7)

Step-by-step explanation:

Given the coordinates A(5 , 5)  and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;

P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}

X = ax1+bx2/a+b

Substitute the given values

X = 5(5)+2(19)/5+2

X = 25+38/7

X = 63/7

X = 9

Similarly;

Y = 5(5)+2(16)/5+2

Y = 25+32/7

Y = 57/7

Hence the coordinate of point P is (9, 57/7)

Answer:

Step-by-step explanation:

Mrs smith and i went to the shop to creme eggs at 23p each & kinder eggs at 47 peach in bulk. We bought 141 eggs altogether & it came to 48.51 how many creme eggs did we buy ?

Answer: [tex]64.2^{\circ}[/tex]

Step-by-step explanation:

According to the cosine rule

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]

Putting values

[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]

So, the ship turns by [tex]64.2^{\circ}[/tex] north of west

The ship turned an at angle of 64.2 degrees north of west

Represent the angle, the ship turned due north of west with theta.

From the figure, we have the following equation

[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]

So, we have:

[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]

Evaluate the expression on the right-hand side

[tex]\cos(A) = -0.4350[/tex]

Take the arc cos of both sides

[tex]A = \cos^{-1}(0.4350)[/tex]

[tex]A =115.8^o[/tex]

The value of theta is then calculated as:

[tex]\theta = 180 -A[/tex]

This gives

[tex]\theta = 180 -115.8^o[/tex]

[tex]\theta = 64.2^o[/tex]

Hence, the ship turned an at angle of 64.2 degrees north of west

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Answer:

It's actually B

Step-by-step explanation:

The measures of the sides are x , x , and x√2 . In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

So x = 4 in this example and the side measures would be 4, 4, and 4√2 which is B

Answer:

6

Step-by-step explanation:

3 sides, 3 angles.

Answer:

The probability of getting 1,2 and 3 after rolling once , second and thrice is

1/6

Step-by-step explanation:

These are all independent events.

The sample space = [1,2,3,4,5,6]

A die has 6 sides

1. If this die is thrown once, the probability of getting a 1 is = 1/6

2. If we roll the dice a second time, the probability of getting a 2 is independent from the first time it was rolled, so the sample space remains the same. The probability is also 1/6

3. If we rolled a 3rd time the probability remains 1/6 also

Answer: A

Step-by-step explanation:

c - 12 > -16

c > -4

A

The equation for the number of bags 'B' that can be filled from a supply of M&M's 'T' will be T / 39.

The formula to determine how many bags 'B' can be filled with M&M's from a stockpile of 'T', where each bag contains 39 candies, is:

B = T/39

This computation takes the sum of all M&M's in 'T' and divides it by the quantity of candies present in each sack (39), producing the amount of bags 'B' that can be filled.

Learn more about equations on

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#SPJ1

Answer:

a, 1,<Z b, 1,zy c,XZY

2,<Y 2, zx

3, <X 3, xy

Answer:

this is not a complete question cause u did not give full numbers

Step-by-step explanation:

not trying to steal points can u finish the question

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

[tex]y^2 = x^2 + x^2[/tex]

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Answer:7

Step-by-step explanation:

Answer:

307.5

Explanation:

First 65 x 10.50 then 990-682.5

Answer:

Step-by-step explanation:

A

Answer:

The equation is [tex]y-(-8) = 4(x-2)[/tex].

Step-by-step explanation:

The point-slope form of a line is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. In order to write an equation of a line in point-slope form, we would need to substitute real values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope of the line, substitute 4 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for [tex]x_1[/tex] and -8 for [tex]y_1[/tex]. This results in the following equation and answer:

[tex]y-(-8) = 4(x-2)[/tex]

(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)      

Step-by-step explanation:

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

Cutt/ly.627929

Answer:

D. 216 cm

Step-by-step explanation:  

1. I assume 14 is a 22 is b and 12 is h

2. Trapezoid Area Formula

[tex]A = \frac{1}{2}(a+b)h[/tex]

3. Plug in numbers

[tex]A = \frac{1}{2}(14+22)12[/tex]

[tex]216 = \frac{1}{2}(14+22)12[/tex]

Answer:

umm don't know.....

Step-by-step explanation:

......