Add and reduce: 1 1/2 + 2 2/3

Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C) A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.

Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.

Simplified version of answer d: 40 miles/ 20 gallon of gasoline  (we know it is wrong because it doesn't match with the unit rate.)

Hope this helped you : )

Answer:

g ∈ ∅

Step-by-step explanation:

Expand the expression

30 g + 12 = 30  

Cancel out the 30g on both sides

12 = 0

Decide whether the statement is true or false

g ∈ ∅

Answer:

the answer is -120

Step-by-step explanation:

trust :)

Answer:

Maybe c

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation: hope this helps

Answer:

y<4

Step-by-step explanation:

thats your answer :)

Answer:

3/4

Step-by-step explanation:

24-6=18--> role playing games

18/24=3/4

Answer: 3/4

Step-by-step explanation:

Answer

I know how to solve it just don't know how to explain how you came up with the equation

Step-by-step explanation:

To solve 9y+7=2y+98   you add 9y+2y and you get 11y  and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11  y= 9.54

Answer:

$68

Step-by-step explanation: All you do is divided 85 by 20 boom

Answer:

$68

Step-by-step explanation:

20% of $85

= 20/100 * 85

= $17

sale price

= 85 - 17

= $68

Answer: 47 degrees

Step-by-step explanation:

The measure of an angle BOC from the given figure is 47°.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given that, m∠AOC is a straight angle, m∠BOC=6x+29° and m∠AOB=3x+124°.

We know that, a straight angle measures 180°.

Now, m∠BOC+m∠AOB=m∠AOC

6x+29°+3x+124°=180°

9x+153°=180°

9x=27°

x=3°

So, m∠BOC=6x+29°

=6×3+29°

= 47°

Therefore, the measure of angle BOC is 47°.

To learn more about an angle visit:

https://brainly.com/question/28451077.

#SPJ2

Answer:

The sum of all four integers is 60.

Step-by-step explanation:

Let the integers be x, x + 2, x + 4, and x + 6.

x + x + 6 = 30

2x = 24

x = 12

So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60

Answer:

________________________

Answer:

3s = 8+4

3s = 12

s = 12/3

s = 4

Answer:

Step-by-step explanation:

Step one:

given data

perimeter= 510 yards

let the width be x, width=x

length= (4x-5)-----quadruple mean 4 times

Step two:

the expression for perimeter is

P=2L+2W

510=2(4x-5)+2x

510=8x-10+2x

510+10=8x+2x

520=10x

divide both sides by 10

x=520/10

x=52

the width is 52 yards

the lenght is  (4x-5)

L=4(52)-5

L=208-5

L=203 yards

Answer:

Im pretty sure it is E=8

Step-by-step explanation:

Answer:

E=8

Step-by-step explanation:

took the test :)

The table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

where,

k = constant of proportionality

A. 'x' is 1 2 3. 'y' is -3,-6,-9

y = k × x

-3 = k × 1

- 3 = k

k = -3

B. 'x' is 1, 2, 3. 'y' is -1, -2, 0

y = k × x

-1 = k × 1

-1 = k

k = -1

C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

y = k × x

-3 = k × 1

-3 = k

k = -3

D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

-3 = k × 1

-3 = k

k = -3

or

y = k × x

-3/2 = k × 2

-3/ 2 = 2k

k = -3/2 ÷ 2

k = -3/2 × 1/2

k = -3

Therefore, the table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

Read more:

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Answer:

[tex]S : T = 5 : 8[/tex]

Step-by-step explanation:

Represent the first half with F and the second with S

We have that:

[tex]F = 9[/tex] --- From the first statement

[tex]S = 2F - 3[/tex] --- From the next statement

Required

Determine the ratio of S to the total point

First, we need to determine the value of S

Substitute 9 for F in [tex]S = 2F - 3[/tex]

[tex]S = 2 * 9 - 3[/tex]

[tex]S = 18 - 3[/tex]

[tex]S = 15[/tex]

Next, we determine the total points

[tex]Total = F + S[/tex]

[tex]Total = 9 + 15[/tex]

[tex]Total = 24[/tex]

The ratio of S to total is: (Represent total with T)

[tex]S : T = 15 : 24[/tex]

Divide both ration by 3

[tex]S : T = 15/3 : 24/3[/tex]

[tex]S : T = 5 : 8[/tex]

Hence, the ratio is 5 to 8

Answer:

The mother is wrong

Step-by-step explanation:

What we do here will be to add the fractions of the cakes that we have

Mathematically, that will be;

14/12 + 5/6 = 24/12 = 2

This means that the mother is wrong and the cakes can actually be made into 2

Answer:

1

Step-by-step explanation:

it is right ok stop now

Answer:

6 x 10^-4 (B)

Step-by-step explanation:

It is the greater number.

Answer:

40%

Step-by-step explanation:

:)

Answer:

You can buy 10 mangoes for $4.

Step-by-step explanation:

40/16 = x/4

16x = 160

x = 10

Answer:

-2/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use the given points to substitute and solve.

12-8/4-10

4/-6

-2/3

Best of Luck!

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Slope formula is:

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

Let's plug-in our numbers.

[tex]\frac{12 - 8}{4 - 10} = \frac{4}{-6} = -\frac{4}{6}[/tex]

Now, we must simplify the fraction. We can do this by by finding the GCF (Greatest Common Factor). Let's list out what 6 and 4 have in common.

What can 6 be divided into?

2 * 3 = 6

1 * 6 = 6

What can 4 be divided into?

2 * 2 = 4

1 * 4 = 4

The GCF of these two numbers is 2!

[tex]-\frac{4\div2}{6\div2} = -\frac{2}{3}[/tex]

So, our slope is [tex]-\frac{2}{3}[/tex]

I have shown how to do this in the picture below. We get the same answer solving this way as well.

~ [tex]InLoveWithPugs[/tex]

[tex]Math \ Enthusiast\\Moderator[/tex]

Complete question is;

In a survey of 565 U.S. businesses, 430 of these companies indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.

Is there sufficient evidence to conclude that more than 75% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)

Answer:

There's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

Step-by-step explanation:

Population proportion; p^ = 430/565 = 0.761

Sample proportion; p = 75% = 0.75

Significance level; α = 0.01

Sample size; n = 560

Let's define the hypotheses;

Null hypothesis; H0: p = 0.75

Alternative hypothesis: p > 0.75

Formula for the test statistic is;

z = (p^ - p)/√[p^(1 - p^)/n]

z = (0.75 - 0.761)/√(0.75(1 - 0.75)/560)

z = -0.011/√0.00033482143

z = -0.011/0.0183

z = -0.60

From online p-value from z-score calculator attached, using; z = -0.60, significance level = 0.01, one tailed hypothesis, we have;

P-value ≈ 0.2743

The p-value is greater than the significance level and so we will fail to reject the null hypothesis and conclude that there's not sufficient evidence to suggest that more than 75%  of U.S. businesses monitor employees website visits.

Answer:

This is an obtuse scalene triangle with the length of E measuring around 749 cm.

<D = 54.754° ≈ 55°

<E = 114°

<F = 11.246° ≈ 11°

Side D = 670 cm

Side E = 749.46937 cm ≈ 749 cm

Side F = 160 cm

Explanation:

When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.

Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.

a / Sin (A) = b / Sin (B) = c / Sin (C)

[side 1]. [side 2]. [side 3].

↓ ↓ ↓

sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)

______________________________

670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).

Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.

It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc

B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac

and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab

capital A, B, and C are angles A, B, and C.

lowercase a, b, and c are sides a, b, and c.

Therefore c² = a² + b² − 2ab cos(C),

b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.

SOH CAH TOA.

Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.

Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749

Answer:749

Step-by-step explanation:

S.A.S law or Cosines

e=561704.33628= 749.469= 749

Answer:

With something like this you have to start out with 3 givens. what I do for these specific kinds of questions is just put something random in the first half, then put something random twice in the second slot, click clear, then it'l give you a button that says "clear" then a little after it'll say "hint" or "demo" the click those buttons and just put the second half in something random until it pops off, this works every time and will allow you to go to the next task.

Step-by-step explanation:

May I have brainliest please? :)

Answer:

Statement: ∠1 ≅∠2

Reason: When two parallel lines are cut by a transversal, alternate exterior angles are congruent

Step-by-step explanation:

Answer:

f(m)=40x+100

Step-by-step explanation:

40 is your rate which is x and 100 is the initial fee which is y.