Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO

Answer:

Hence a = 3.66 and -3.628

b = 0.834 and -2.634

Step-by-step explanation:

Given the equations

a-2b =2 -------- (1)

a²+b²+2a -3b =19 --------(2).

From 1;

a = 2 + 2b

Substitute into 2

(2+2b)²+b²+2a -3b =19

Expand

4 + 8b + 4b²+b²+2(2+2b)-3b = 19

4b²+b²+8b+4b+4+4-3b = 19

5b²+9b+8 = 19

5b²+9b-11 = 0

b = -9±√81+4(55)/2(5)

b= -9±√301/10

b = -9+17.34/10 and -9-17.34/10

b = 8.34/10 and -26.34/10

b = 0.834 and -2.634

Since a = 2+2b

a = 2+2(0.834)

a= 2 +1.668

a = 3.668

Also

a = 2+2(-2.634)

a = 2 - 5.628

a = -3.628

Hence a = 3.66 and -3.628

b = 0.834 and -2.634

= d+5+d+5+d+5+d+5

= 4d+20

=4(d+5)

Answer: 1. 71.4

2. 40.10

Step-by-step explanation:

1. The radius is half of the diameter so just divide 142.8 by 2

2. Diameter is easy 20.5*2

Hope this helped :)

Answer:

10*10

Step-by-step explanation:

Answer:

113 miles

Step-by-step explanation:

Distance = 180 km

Number of km per mile = (8/5) = 1.6 miles

Number of miles between the schools:

Distance / Number of kilometers per mile

180km / 1.6

= 112.5 miles

= 113 miles

Distance between the schools is approximately 113 miles

Answer:

[tex]x = 6[/tex]

Explanation:

Given:

[tex]Area = 24cm^2[/tex]

See attachment for shape

Required

Find x

The attached shape is a rectangle.

So:

[tex]x * 4 = 24[/tex]

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{24}{4}[/tex]

[tex]x = \frac{24}{4}[/tex]

[tex]x = 6[/tex]

Answer:

165and 75 is your answer

Answer:

Answer:

60 adults and 90 students.

Step-by-step explanation:

90x4= 360

60x6= 360

360+360=720

Answer:

m = 1

Step-by-step explanation:

Slope-intercept form:

Y= x + 6

point-slope form

y - 5 = 1 . (x + 1)

Answer:

Answer is 30

Explanation

6²+x-x²

When x=3»»

6²+3-3² =36+3-9=30

Answer:

All you have to do is find the diameter and divide it by 2. I'm sorry if I can't give you a direct answer because I cannot see the diagram.

Step-by-step explanation:

Answer:

7=2.75

8=18

9=3.625

10=29

Step-by-step explanation:

Answer:

Its A, 7.7

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Angle x and the two given angles form a triangle. The interior angles of a triangle add up to be 180.

so

[tex]124 + 33 + x = 180[/tex]

[tex]157 + x = 180[/tex]

[tex]x = 23[/tex]

In the parallelogram below, the value of x is [tex]23^o[/tex] using the angle sum property .

The angle sum property states that:

The sum of all the interior angles of a triangle is [tex]180^o[/tex].

A  parallelogram is a four sided figure in which opposite sides are equal and parallel.

Given that:

A parallelogram in which the measurement [tex]124^o[/tex] and [tex]33^o[/tex] is given.

The parallelogram is divided into two triangles.

The value of x can be calculated as:

[tex]x+ 33^o + 124^o = 180^o[/tex] (Angle sum property)

[tex]157^o +x = 180^o[/tex]

    x =[tex]180^o- 157^o[/tex]

    x = [tex]23^o[/tex]

Thus, the value of x is [tex]23^o[/tex].

Learn more about angle sum property here:

https://brainly.com/question/8492819

#SPJ4

Answer:

S_6 = 252

Step-by-step explanation:

We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.

Now,formula for nth term of an AP is;

a_n = a + (n - 1)d

Thus;

a_10 = a + (10 - 1)d

a_10 = a + 9d

Also;

a_4 = a + (4 - 1)d

a_4 = a + 3d

First term is a.

Thus, since they are consecutive terms of a G.P, it means that;

(a + 9d)/(a + 3d) = (a + 3d)/a

Cross multiply to get;

a(a + 9d) = (a + 3d)(a + 3d)

a² + 9ad = a² + 6ad + 9d²

a² will cancel out to give;

9ad - 6ad = 9d²

3ad = 9d²

Divide both sides by 3d to get;

a = 3d

We are told that the first term is 4.

Thus, 4 = 3d

d = 4/3

We saw earlier that ratio of the GP is (a + 3d)/a

Thus; r = (4 + 3(4/3))/4 = 8/4 = 2

Sum of n terms of a G.P is given by;

S_n = a(rⁿ - 1)/(r - 1)

S_6 = 4(2^(6) - 1)/(2 - 1)

S_6 = 252

Answer: -30

Step-by-step explanation:

I just plugged it into a calculator hehe.

Answer:

$109.2

Step-by-step explanation:

Given data

Cost of bowling ball= $120

DIscount= 15%

Tax= 6%

let us calculate the discount and tax

=15/100*120

=0.15*120

=$18

=6/100*120

=0.06*120

=$7.2

In all the bill is 120-18+7.2

=102+7.2

=$109.2

Answer:

y=

1

2

x;−3y=4+

1

2

x

Rewrite equations:

y=

1

2

x;−3y=

1

2

x+4

Step: Solvey=

1

2

xfor y:

y=

1

2

x

Step: Substitute

1

2

xforyin−3y=

1

2

x+4:

−3y=

1

2

x+4

−3

1

2

x=

1

2

x+4

−3

2

x=

1

2

x+4(Simplify both sides of the equation)

−3

2

x+

−1

2

x=

1

2

x+4+

−1

2

x(Add (-1)/2x to both sides)

−2x=4

−2x

−2

=

4

−2

(Divide both sides by -2)

x=−2

Step: Substitute−2forxiny=

1

2

x:

y=

1

2

x

y=

1

2

(−2)

y=−1(Simplify both sides of the equation)

Answer:

x=−2 and y=−1

Step-by-step explanation:

Sorry if it is too confusing

Answer:

x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)

Step-by-step explanation:

Answer:

PQT and TQS

Step-by-step explanation:

they must supplement each other to get the 90

Answer:

We know it's at -1260 feet and descends 5 per minute

The expression of this would be: -1260 - 5x, where x would be the time in minutes, as from -1260 feets it descends 5 per min.

Then, if we need to calculate it when it passes 12 minutes, we can replace the x by 12, and get the distance it would be

-1260 -5*12 = -1320 feet

And the answer would be -1320 feets

Answer:

y = - 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-4}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2

y = - 3x - 2 ← equation of line

Answer:

I think it's answer is B. XY-DE.

Answer:

fish

Step-by-step explanation:

Answer:

p= 1125

Step-by-step explanation:

p-275= 850

p- 275= 850

  + 275  +275

p= 1125

P= the original population minus D= decrease in population is equal to C= the current population

p-d=c

Answer:

1125 people

Step-by-step explanation:

We don't know the exact quantity, but we know it has decreased by 275 and it's currently 850, so we will represent it like this:

x - 275 = 850

x = original amount of people

Now we just solve it like any equation

x = 850 + 275

x = 1125

Hope it was helpful ;)

Answer:

porfavor en español pls para yo poder resolverlo

Answer:

6,619.87

Step-by-step explanation:

Social security: 86534.25 x .062. =5,365.12

medicare:          86534.25x .0145 =1,254.75

total paid: 5,365.12+1,254.75.       =6,619.87

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)

m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]

Division by zero is undefined thus the slope of CD is undefined

Answer:

TRANSALATE!!!!

Step-by-step explanation:

Answer:

Para qué sirve un modelo matemático? Los modelos matemáticos son utilizados para analizar la relación entre dos o más variables. Pueden ser utilizados para entender fenómenos naturales, sociales, físicos, etc.

Step-by-step explanation:

Answer:

C. The slope from point O to point A is fraction 1 over 3 times the slope of the line from point A to point B.

Step-by-step explanation:

Answer:

c

Step-by-step explanation: