5. Dana had $700. She spent 1/2 of her money on car note and 1/4 of the remainder on car
insurance. How much money is left with her?

Answer:

Step-by-step explanation:

4x + y = - 1 -------------(I)

-5x - 2y = -4 -----------(II)

Multiply the equation (I) by 2 and then add the equations.

(I)*2        8x + 2y = -2

(II)          -5x - 2y = -4  {Now add and y will be eliminated}

             3x         = -6

                       x = -6/3

x = -2

Substitute x = -2 in equation (I)

4*(-2) + y = -1

-8     + y = -1

          y  = - 1 + 8

           y = 7

Answer:

(-2, 7)

Step-by-step explanation:

4x + y = -1

-5x - 2y = -4

---------------------------------------

2(4x + y = -1) = 8x + 2y = -2

---------------------------------------

8x + 2y = -2

-5x - 2y = -4

3x = -6

÷3   ÷3

x = -2

-----------------------------------------

4(-2) + y = -1

-8 + y = -1

+8          +8

y = 7

I hope this helps!

Answer:

10

Step-by-step explanation:

g(f(x)) = g(3x² - 4) = 2(3x² - 4) - 6

so

g(f(2) = 2(3*2² - 4) - 6 = 2*8 - 6 = 16 - 6 = 10

Given :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]

[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]

Now, Substituing the value of y in equation (ii) :

[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]

[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]

Now, substituting the value of x in equation (i) :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]

[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]

Solution:

Note that:

Simplify the equation to find x.

Add 10 both sides.

Subtract 3x both sides.

Divide 3 both sides.

Answer:

Step-by-step explanation:

opposite angles = equal angles

we solve with a proportion

3x + 50 = 6x - 10

50 + 10 = 6x - 3x

60 = 3x

x = 60 : 3

x = 20

Answer:

m∠R = 60°

explanation:

Let the angle be x,

x + x + 60° = 180°

2x = 180° - 60°

2x = 120°

x = 60°

Answer:

Step-by-step explanation:

Sum of interior angles in a triangle = 180degree

PQ=QR so triangle PQR is an isosceles triangle

The two base angles of an isosceles triangle are equal

So <R = <P

m<R + m<P + 60degree = 180degree

m<R = (180-60)/2 = 60degree

Answer:

8

Step-by-step explanation:

I simplified the fraction into a decimal (2.5) then proceeded to multiply it by 8 to compensate for each bag of chips.

Answer:

The answer is 234

Step-by-step explanation:

Hope it helps

Answer:

3

Step-by-step explanation:

1(8)+2(16)+3(24)+4(32) ÷ 8+16+24+32

8+32+72+128÷ 8+16+24+32 = 240÷80 = 3

Answer:

22

Step-by-step explanation:

We are given the expression:—

[tex]\displaystyle \large{5n-3}[/tex]

When n = 5, substitute/change n to 5:—

[tex]\displaystyle \large{5(5)-3}[/tex]

Evaluate:—

[tex]\displaystyle \large{25-3=\boxed{22}}[/tex]

__________________________________________________________

Summary

  Substitution

Changing or replacing from a term to another terms/expression is called substitution.

Examples:—

If we are given the expression [tex]\displaystyle \large{2y-1}[/tex] and we want to find the value when y = 4, simply replace y-term to 4.

[tex]\displaystyle \large{2(4)-1=8-1=\boxed{7}}[/tex]

__________________________________________________________

If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!

Answer:

[tex]u\cdot v=32[/tex]

Step-by-step explanation:

Assuming [tex]u[/tex] and [tex]v[/tex] are vectors, their dot product is [tex]u\cdot v[/tex] where [tex]u_1v_1 + u_2v_2[/tex]:

[tex]u\cdot v=u_1v_1+u_2v_2=(2)(8)+(-8)(-2)=16+16=32[/tex]

Therefore, [tex]u\cdot v=32[/tex]

Answer:

3 packs of sodas would need to be bought.

Step-by-step explanation:

6  x 2 = 12 which isn't enough

6 x 3 = 18 which is more than enough

Answer : 4 Degrees Celsis​

Explanation : Use The Absolute Value

I  -4  I = 4

◊ YusuCr ◊

Answer: 4 degrees Celsius

Hope this helps!

Answer:

D. (2, -1)

Step-by-step explanation:

The ratio of the number of bottles of coke sfiso buys to cupcakes is 3 :5.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within another value. The sign used to represent ratios are :.

Ratio of coke bottles to cupcakes = 36 : 60

= 3 : 5

To learn more about ratios, please check: https://brainly.com/question/25927869

Step-by-step explanation:

74-25 is not equal to 59 the correct answer is 74-25=49

Answer:

37.68 yards

Step-by-step explanation:

Circumference = π x diameter

So if you pull in the numbers to the formula...

circumference = 12 x 3.14

37.68 = 12 x 3.14

Answer:

-7

Step-by-step explanation:

Leading coefficient:  the number written in front of the variable with the largest degree.

If a term has two or more variables, its degree is the sum of the exponents of its variables

For  [tex]2x^2y - 7x^2y^3 + 6xy^2[/tex]

Therefore, the leading coefficient is -7 since the greatest sum of the exponents is of the second term.

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{The\;coefficient\;is\;-7}}[/tex]

[tex]\mathbb{SOLUTION\;WITH\;STEPS:}[/tex]

Hi! Hope you are having a nice day!

The leading coefficient of the given polynomial is -7.

Why? Because the leading coefficient is the number written before the variable with the largest exponent.

In this case, it's -7, because it's written next to a term that's cubed, and that's the largest exponent in the polynomial.

Also, if a term has two variables (or more) then we add the exponents in that term in order to get the degree of the term.

In this case, it's 5.

Hope you could understand everything.

#CarryOnLearning

Answer:

y=x-40

Step-by-step explanation:

Answer:

Please read below.

Step-by-step explanation:

P(event)= favorable outcomes / total outcomes

0.84 * 100 = 84

100 - 84 = 16

84 favorable outcomes

16 unfavorable outcomes

100 total outcomes

Therefore there is a 84% chance of it happening.

Therefore there is a 16% chance of it not happening.

P(event) = 84/100

8.4 out of 10

Describe it how ever you want. 8.4 out of 10 is a pretty good bet to me. I would put my money on it. There isn't a lot of context to the question. But, I hope this helps!

It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.

Probability is to measure the occurrence of an event.

It is given that

probability of an event = 84% or 0.84

This means, P(E) = 0.84

Number of favorable outcomes/ Total outcomes =84

Let us say Total outcomes are 1000

So favorable outcomes = 1000*0.84

Favorable outcomes = 840

Therefore, It means 840 times out of 1000 times, an event is likely to happen or in other words, there is an 84% chance of happening an event.

To get more about probability visit:

https://brainly.com/question/24756209

Based on the inflation rate in the United States in 1949, the cost of the car at the end of the year would be $1,470.

The cost can be found by the formula:

= Cost x (1 + inflation rate)

The inflation rate is negative so solving gives:

= 1,500 x (1 - 2%)

= $1,470

Find out more on inflation at https://brainly.com/question/777738.

Answer:

B

Step-by-step explanation:

because 4 plates multiplied by 9 equals 56 and 5x9=45. Therefore you need to multiply both 6 and 7 by 9 to get your answer. I hope I'm right. :)

Step-by-step explanation:

Using that fact that,

[tex] \cos(u) = \frac{x}{r} [/tex]

and

[tex] {r}^{2} = {x}^{2} + {y}^{2} [/tex]

We need to find sin which that formua is

[tex] \sin(u) = \frac{y}{r} [/tex]

We know what r and x is so we need to find y.

[tex] {8}^{2} = { - 3}^{2} + {y}^{2} [/tex]

[tex]64 = 9 + {y}^{2} [/tex]

[tex]55 = {y}^{2} [/tex]

[tex] \sqrt{55} = y[/tex]

Sin is positve on the interval pi/2 to pi. so we get

[tex] \sin(u) = \frac{ \sqrt{55} }{8} [/tex]

b.

[tex] \tan(u) = \frac{y}{x} [/tex]

so

[tex] \tan(u) = - \frac{ \sqrt{55} }{3} [/tex]

c.

[tex] \sec(u) = \frac{r}{ x} [/tex]

[tex] \sec(u) = - \frac{8}{3} [/tex]

d.

[tex] \sin(2u) = 2 \sin(u) \cos(u) [/tex]

[tex]2 ( \frac{ \sqrt{55} }{8} )( - \frac{3}{8} ) = \frac{ - 6 \sqrt{55} }{64} = \frac{ - 3 \sqrt{55} }{32} [/tex]

e.

[tex] \cos {}^{} (2u) = \cos {}^{2} (u) - \sin {}^{2} (u) [/tex]

[tex]( \frac{ - 3}{8} ) {}^{2} - ( \frac{ \sqrt{55} }{8} ) {}^{2} = \frac{ - 46}{64} = - \frac{23}{32} [/tex]

Answer:

a for the fist c  for 2 d for 3 and idontknow

4

Step-by-step explanation:

===================================================

Explanations:

Problem 1

v = 9i - 4j means we move 9 units to the right and 4 units down.

Another way to write this is v = <9, -4>

----------------------

Problem 2

R = (-19, 6)

S = (-35, 13)

Subtract x coordinates:  xS - xR = -35 - (-19) = -16

Subtract y coordinates: yS - yR = 13 - 6 = 7

Those results form the vector v = -16i + 7j

This vector indicates we move 16 units left and 7 units up when going from point R(-19,6) to point S(-35,13).

----------------------

Problem 3

t = -5i + 12j

||t|| = sqrt( (-5)^2 + (12)^2 )

||t|| = 13

theta = arctan(12/(-5))

theta = -67.38

Add on 180 to get to the proper quadrant Q2

-67.38 + 180 = 112.62

Therefore,

[tex]t = 13\bigg\langle \cos(112.62^{\circ}), \ \sin(112.62^{\circ})\bigg\rangle[/tex]

----------------------

Problem 4

The x, y components are the coefficients of the linear form.

This allows us to go immediately from <-39,16> to -39i + 16j

----------------------

Problem 5

P = (-5,11)

Q = (-16,4)

Subtract x coords: xQ - xP = -16 - (-5) = -11

Subtract y coords: yQ - yP = 4 - 11 = -7

The component form of vector t is <-11, -7> and this vector is in Q3.

r = sqrt(a^2 + b^2)

r = sqrt( (-11)^2 + (-7)^2 )

r = 13.038 is the approximate length of the vector.

theta = arctan(b/a)

theta = arctan(-7/(-11))

theta = 32.471

Add on 180 so we get to Q3

32.471+180 = 212.471

Therefore, we have

[tex]x = r\cos(\theta) = 13.038\cos(212.471^{\circ})\\\\y = r\sin(\theta) = 13.038\sin(212.471^{\circ})\\\\t = xi + yj\\\\t = 13.038\cos(212.471^{\circ})*i + 13.038\sin(212.471^{\circ})*j\\\\[/tex]

in which you could write into this slightly more compact form

[tex]t = 13.038\bigg\langle\cos(212.471^{\circ}),\sin(212.471^{\circ})\bigg\rangle\\\\[/tex]

For more info, check out polar to cartesian conversion formulas.

Answer:

C. 27

Step-by-step explanation:

Arc length = fraction of the circle * circumference

Arc length = fraction of the circle * 2 * pi *r

3/4 pi  = fraction of the circle * 2 * pi *5

3/4 pi  = fraction of the circle *10 pi

Divide each side by 10pi

3/4 pi

-------- = fraction of a circle

10 pi

3/40 = fraction of a circle

A circle is 360 degrees

3/40 = x/360

Multiply by 360

3/40 *360 = x

27 = x

Answer:

25%

Step-by-step explanation:

25% of the dolls are made with curly hair.

Answer:

4%

Step-by-step explanation:

12 / 3= 4

Answer:

Photography is when you take photo's with style or just take photo's.

Step-by-step explanation: