1
Solve these simultaneous equations using the elimination method

4x + y = 23
x + y = 8​

Hi there!  

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I believe your answer is:  

[tex]8(y-2)[/tex]

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Here’s why:

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[tex]\boxed{\text{Simplifying the Expression:}}\\\\8y-16\\------------------\\\rightarrow 8y-16\\\\\text{8 is a common factor in the terms. Pull out 8 to factor...}}\\\\\rightarrow \boxed{8(y-2)}[/tex]

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

We can not find the answer with with equation since there is no comparison sign. To demonstrate this lets look at a way we could solve this equation.

8y-16=32

8y=48

y=6

Answer:

Step-by-step explanation:

angle 2 is also 60 degree (being vertically opposite angles)

angle 3 is also 60 degree (being corresponding angles)

angle 4 is also 60 degree (being corresponding angles ) . sice angle 2 is 60 degree and relation between  angle 2 and 4 is corresponding angle , angle 4 will also be 60 degree.

Answer:

TV = 18

Step-by-step explanation:

First, we can visualize rotating the triangle ΔTUV 180 degrees to line it up with ΔTRS, as shown in the picture. This makes it easier to visualize which sides correspond to each other. Because UT is parallel to RT, and UV is still parallel to RS (rotating the triangle 180 or 360 degrees does not change this), we know UT is similar to RT and so on.

As the ratio of similar sides are equal in similar shapes, we can say that

RT/UT = TS/TV = RS/UV

One thing to note is that all sides of TRS are on top, while all sides of TUV are on the bottom. Make sure that for all your sides, that the same triangle's sides stay on either the top or bottom.

Given this, and that we want to find TV, we can say that

TS / TV = RS / UV (I didn't use RT/UT because we don't know UT)

27 / TV = 24 / 16

Multiply both sides by 16 to eliminate a denominator

27 * 16 / TV = 24

Multiply both sides by TV to eliminate all denominators

27 * 16 = 24 * TV

Divide both sides by 24 to isolate TV

27 * 16 / 24 = TV

TV = 18

Answer:

actually what is this is you is this a geometry, trigonometry I don't know what to call

Answer:

0.075 metre

2000 mm

500 cm

0.001 gram

1.5 × 10-6 kilogram

86400 second

18000 second

Step-by-step explanation:

hope it helps

Answer:

a) 0.075 m

b) 2000 mm

c) 500 cm

d) ?

e) 0.0015 kg

f) 86400 seconds

g) 18000 seconds

Answer:

Step-by-step explanation:

length = Pi.radius.15degree/180degree

= Pi.2.15/180 = about 0,5 feet

The length of the arc that is subtended by 15° is: 0.5 ft.

Formula for the arc length in a circle with a radius of r and a central angle of ∅ is, ∅/360 × 2πr.

Given the following:

Arc length = 15/360 × 2π(2)

Arc length = 0.5 ft.

Thus, the length of the arc that is subtended by 15° is: 0.5 ft.

Learn more about the arc length on:

https://brainly.com/question/17329757

Answer:

D i think

Step-by-step explanation:

its just a guess

Answer:

Step-by-step explanation:

[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]

If that answer doesn't work, then try 29 without the percent sign.

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Explanation:

We know with absolute certainty that the person ordered a hot drink, due to the "given".

This means we only focus on the values in the first row.

There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.

The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.

This converts to 29.33% and that rounds to 29%

Step-by-step explanation:

Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

QR :

QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97

QR = sqrt(97) ≈ 9.848857802

RP :

RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145

RP = sqrt(145) ≈ 12.04159458

the perimeter/circumference of the triangle is the sum of all 3 sides

= 12 + sqrt(97) + sqrt(145) ≈ 33.89

Answer:

4/5 ÷ 1/10 = 40/5 as simplified as 8/1 in fraction form.

4/5 ÷ 1/10 = 8 in decimal form.

This calculator, formula, step by step calculation and associated information for fraction 4/5 divided by 1/10 may help students, teachers, parents or professionals to learn, teach, practice or verify such division between two fractions calculations efficiently.

Step-by-step explanation:

hope it helps...

Answer:

8/1

Step-by-step explanation:

4/5 change × 10/1= 8/1 hope helpful answer to your question have a good time to you

A)

Replace the letters in the given equation with the corresponding values given in the problem:

A = 10,000 x 2.718^(0.05 x 2)

A = 11,051.59 , rounded to nearest dollar = $11,052

B)20,000 = 10000 x 2.718^(0.05 x t)

Divide both sides by 10,000:

2 = 2.718^(0.05 x t)

Apply exponent rules:

0.05tln(2.718) = 2

Solve for t:

t = ln(2) / 0.05ln(2.718)

t = 13.86 years, rounded to nearest year = 14 years.

Answer:

Step-by-step explanation:

Using [tex]A=Pe^{rt[/tex] as instructed, our equation looks like this:

[tex]A=10,000e^{(.05)(2)}[/tex] which simplifies a bit to

[tex]A=10,000e^{.1[/tex] which simplifies a bit more to

A = 10,000(1.10517) so

A = 11,051.71  Easy. Now onto the second part: solving for the number of years it takes for the investment to double. Setting A equal to 20,000 since 20,000 is 10,000 doubled:

[tex]20,000=10,000e^{.05t[/tex]  Begin by dividing both sides by 10,000 to get

[tex]2=e^{.05t[/tex] and take the natural log of both sides to get that exponent down out front, keeping in mind that the natural log will "undo" the e, leaving us with:

ln(2) = .05t and

t = 14 years (that's 13.8 rounded up to the nearest year)

Answer:

option 3 : (2x - 7 )

Step-by-step explanation:

ax + bx = x(a+ b)

a(x+ y) + b(x+y) = (x+y)(a+b)

[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex]      [ (2x + 5) is common is both terms ]

[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]

Therefore , the binomial is ( 2x - 7)

Answer:

x = 79°

Step-by-step explanation:

∠ABE = ∠BEF  = 41°           [Alternate angle ]

Now sum of angles of a triangle = 180°

Therefore,

∠EBF + ∠BEF + ∠BFE = 180°

60° + 41° + x = 180°

x = 180° - 60° - 41°

x = 79°

Answer:

Step-by-step explanation:

             Statements                                  Reasons

1). AD ≅ BC                                           1). Given

2). ∠D ≅ ∠C                                          2). Given

3). ∠DEA ≅ ∠CEB                                 3). Vertically opposite angles

4). ΔADE ≅ Δ BCE                                4). AAS postulate of congruence

5). AE ≅ BE                                           5). CPCTC

Hence, proved.

Answer:

x=3

Step-by-step explanation:

Answer:

this means she ate an average of 30 raisins each day

so she ate 30 on the third day

so the amount she ate each day is like this

1. 16

2. 23

3. 30

4. 37

5. 44

16 + 23 +30 +37 +44=150

Answer:

a. 30 b. 16

Step-by-step explanation:

n=number of days

a1= raisins she at on 1st day

d=increase per day

n(a1+an)/2

5(a1+a1+d(n-1))/2=150

5(2a1+4d)=300

d=7, 10a1+20(7)=300

a1+14=30

a1=16

a. a1+2d 16+14=30 b. 16

Answer:

i think its A but im not sure its correct

Step-by-step explanation:

Answer I do not know i am not there yet i am sorry

Step-by-step explanation:

:(

Answer:

[25+(-13)+(-17)

25-13-17

-5

Answer:

(2w+2)(w+8) ≤ 100

Step-by-step explanation:

B neither perpendicular nor parallel

Answer:

B

Step-by-step explanation:

B. neither perpendicular nor parallel

because, the line are not crossing nor are they aside from each other.

Answer:

(x + (2), y - (4))

Step-by-step explanation:

An easy way to figure out how a shape has undergone a ridge transformation (meaning a transformation only in location and not size) is to compare corresponding points on the figure.

In this figure, use point (C) to describe the transformation. Point (C) is located at (-2, 4). However, its corresponding point (C') is located at (0,0). To go from (-2, 4) to (0,0) one has to add (2) units to the (x-coordinate) and subtract (4) units from the (y-coordinate). Therefore, the transformation can be described as the following,

(x + (2), y - (4))

Answer:

P= 2L+2W+2H

P=2(3)+2(3)+2(3)

=18ft