Which of the following symbols make(s) the following mathematical statement true? Select all that apply. 49 ___ 3 + 32 ÷ 23

recall your d = rt, distance = rate * time.

j = jet's rate

w = wind's rate

so with the wind the actual speed of the Jet is really j + w, because the wind is adding speed to it, and against it is j - w, since the wind is eroding speed from it.

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{against the wind}&8730&j-w&9\\ \textit{with the wind}&7260&j+w&6 \end{array}~\hfill \begin{cases} 8730=(j-w)(9)\\ 7260=(j+w)(6) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{\cfrac{8730}{9}=j-w\implies }970=j-w\implies 970+w=j \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{using the 2nd equation}}{\cfrac{7260}{6}=j+w}\implies 1210=j+w\implies \stackrel{\textit{doing some substitution on \underline{j}}}{1210=(970+w)+w} \\\\\\ 1210=970+2w\implies 240=2w\implies \cfrac{240}{2}=w\implies \boxed{120=w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{970+w=j}\implies 970+120=j\implies \boxed{1090=j}[/tex]

The required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given;

The cost of the shirt she bought = $ 84,

And the cost of each watch she bought = $ 99,

Now Suppose she bought x watches,

So, the cost of x watches = 99x dollars,

Also, her total spending = 84 + 99x

Since she has a total budget of $1,150,

That is her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )

⇒ 99x + 84 ≤ 1,150

Hence the required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.

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ANSWER

C. [tex]g(x) = {(x + 3)}^{2} - 2[/tex]

EXPLANATION

The blue graph is obtained by shifting the red to the left by 3 units and down 2 units.

The vertex is now at (-3,-2).

The base function has equation:

[tex]f(x) = {x}^{2} [/tex]

This implies that,

[tex]g(x) = f(x + 3) - 2[/tex]

[tex]g(x) = {(x + 3)}^{2} - 2[/tex]

The correct answer is C

Answer:

After 2 years Miguel will have in his account $541.64

Step-by-step explanation:

The formula for calculating compound interest continuously is:

[tex]A=pe^{rt}[/tex]

Where A is the amount of money obtained after t years.

r is the compound interest rate and p is the initial amount

In this case we have that:

[tex]p=\$500\\\\t=2\ years\\\\r=0.04[/tex]

Then we must find the final amount A

[tex]A=500e^{0.04(2)}[/tex]

[tex]A=\$541.64[/tex]

Answer:

x-intercept: (1/3,0)

y-intercept: none

Answer:

-3

Hope this helps! Please mark as brainliest.

Answer:

D. x = 8

Step-by-step explanation:

MNOP is a trapezoid with a meadian QR

So

QR = 1/2(NO + MP)

2(QR) = NO + MP

2(16) = 8 + 2x + 8

32 = 2x + 16

2x = 16

 x = 8

Answer:

The correct answer option is D. x = 8.

Step-by-step explanation:

We are given a trapezoid MNOP with the median QR and we are to find the value of x.

If we observe the figure, we can see that the length QR is the double of NO which means 8 units are added to NO. So the ratio for NO and MP would be 1:3.

NO = 8

QR = 8 + 8 = 16

MP = 8 + 8 + 8 = 24

Finding x:

2x + 8 = 24

2x = 24 - 8

2x = 16

x = 8

Answer:

139

Step-by-step explanation:

a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139

Answer:

36 minutes

Step-by-step explanation:

In order to find how many minutes it takes to fill 675 bottles, we need to find how many bottles the machine produces in one minute.

To do so, we can divide 150 by 8, which would give us the total amount of bottles produced in one minute.

150/8 = 18.75

So, 18.75 bottles are produced in one minute

To find the total number of minutes it takes to fill 675 bottles, we can divide 675 by the number of bottles produced in one minute, which is 18.75

675/18.75 = 36

Therefore, it takes the machine 36 minutes to fill 675 bottles.

Given : Machine fills 150 bottles of water every 8 minutes

[tex]\mathsf{\implies Machine\;fills\;1\;bottle\;of\;water\;in\;\left(\dfrac{8}{150}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;(675 \times 1)\;bottles\;of\;water\;in\;\left(675 \times \dfrac{8}{150}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(675 \times \dfrac{4}{75}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(135 \times \dfrac{4}{15}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\left(9 \times 4}\right)\;minutes}[/tex]

[tex]\mathsf{\implies Machine\;fills\;675\;bottles\;of\;water\;in\;\boxed{\mathsf{36}}\;minutes}[/tex]

Answer: An opposite definition would be "A shape with a set of points that DOES NOT have the same distance from a given point."

Step-by-step explanation: No need for step-by-step explanations.

The opposite of a circle might be considered an ellipse, as its geometric properties contrast with those of a circle. Ellipses have two focal points with a constant sum of distances to any point on the ellipse, unlike circles which have one central point with a constant distance to any point on the circle.

The opposite of a circle in geometric terms could be considered an ellipse. While a circle has a constant distance from the center to any point on its boundary, known as its radius, an ellipse does not.

In an ellipse, instead of one point being equidistant from all points on the shape (as in a circle), there are two points inside the ellipse known as the foci. The sum of the distances from these two foci to any point on the ellipse remains constant. This differs from the property of a circle where the distance from its center to any point on the circle is always the same.

Another potential 'opposite' of a circle might be a straight line or a polygon, since these shapes do not have the same properties of symmetry and constancy of distance from a single central point that a circle does.

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Answer:

The prime factors of 60 are 2, 3, and 5.

Answer:

(x-3)(4x+5)

Step-by-step explanation:

4x2−12x+5x−15

=4x(x−3)+5(x−3)

=(x−3)(4x+5)

Answer:

B

Step-by-step explanation:

Given

4x² - 7x - 15

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 15 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the x- term

4x² - 12x + 5x - 15 ( factor the first/second and third/fourth terms )

= 4x(x - 3) + 5(x - 3) ← factor out (x - 3) from each term

= (x - 3)(4x + 5) ← in factored form

Hence 4x + 5 is a factor of the trinomial → B

Answer:

no because you have division by a variable

Step-by-step explanation:

If you have y   +   2/y as an expression, this expression is not a polynomial expression because you have division by variable.

You are looking for an expression with only positive or 0 integer exponents.  

Here are some examples of a polynomial:

5

5x+1

5x^2+x+1

-x

-x+1

3x^3+5x+1

4x^4+7x^2+x+1

and so on...

Here are some examples of expressions that aren't polynomials:

5+sqrt(x)

5+|x|

|x|-5

x^2+5|x|

5/x^3

6x^(-2)

and son on....

Hi!

Let's take a look at the equation:

F = C + 32

What do we notice?

C and F are both variables.

Variables are unknown numbers represented by a letter.

In this case, C and F are the variables.

Hope this helps!

- Melanie

Answer:

The first one: f(x) = 2

Step-by-step explanation:

In this case, we can see that for ALL values of 'x' the value of y=f(x) doesn't change, it's the same. That's why the function represented by the graph is f(x) = 2.

Answer:

f(x) =2

Step-by-step explanation:

Looking at the graph, the value of y does not change.  y always equals 2

y=2

Since this is in function notation

f(x) =2

Answer:

4 is the width, 14 is the length

Answer:

8/9

Step-by-step explanation:

This is already in slope-intercept form.

Compare to y=mx+b where m is slope and b is y-intercept and you should see that 8/9 is in place of m and is therefore your slope

Answer:

The correct answer would be B, Sometimes.

Step-by-step explanation:

Rational numbers are sometimes the natural numbers.

Rational numbers are the numbers that can be expressed as a quotient or fraction of two integers. Rational numbers can be in the form of decimals or natural numbers. Natural Numbers are the normal integers like 1, 2, 3, 4, etc. So the resulting numbers of any equation will give a rational number or a natural number. So it is so correct to say that rational numbers are sometimes the natural numbers.  

Answer:

Part 1) The measure of x is 23°

Part 2) The value of y is [tex]y=5\ units[/tex]

Part 3) The value of z is [tex]z=12\ units[/tex]

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex]x+67\°=90\°[/tex] ------> by complementary angles

[tex]x=90\°-67\°=23\°[/tex]

step 2

Find the value of y

In the right triangle of the figure

[tex]cos(67\°)=\frac{y}{13}[/tex] -----> adjacent side angle of 67 degrees divided by the hypotenuse

[tex]y=(13)cos(67\°)=5\ units[/tex]

step 3

Find the value of z

In the right triangle of the figure

[tex]sin(67\°)=\frac{z}{13}[/tex] -----> opposite side angle of 67 degrees divided by the hypotenuse

[tex]z=(13)sin(67\°)=12\ units[/tex]

Answer:

1/9

Step-by-step explanation:

1/3*1/3=1/9

Answer:

2

Step-by-step explanation:

Answer:

The other 2 sides have lengths 24 and 25.

Step-by-step explanation:

h^2 = x^2 + 7^2 where x is the other leg and h is the hypotenuse.

h^2 - x^2 = 49

(h + x) (h - x) = 49

The factors of 49 are 1 , 7 , and 49.

h + x could be 49 and h - x could be 1:

(25 + 24)(25 - 24) = 49.

So h = 25 and x = 24.

Answer:

(x^2-8x+7)  +      (-8x+9)/(4x^2+3x-2)

Step-by-step explanation:

Check the picture below.

let's recall that a circle has a total of 360°, so the arcDCF is 360 - 266 = 94, and is the intercepted arc by the inscribed ∡DEF.

Answer:

y=mx+b

(6,6)    (3,8)

6m+b=6

3m+b=8

6m+b-3m-b=-2

3m=-2

m = -2/3

-2+b=8

b=10

y = -2/3x+10

I choose 12.

-2/3(12)+10

=2

so put x as 12; y as 2.

Answer:

We want to add an x value we have not used before. A function has EVERY X IN A DOMAIN going to ONLY ONE Y value.

6,3,9,7 are already used for x.

so you can put in x = 8 and y = 12 as an answer. That will work and show a function. There are also other answers.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You are given that a valid point on g(x) is (4,1) or y=1 when x=4

Substitute this point into each of the choices and see which one is valid.

A : g(x) = [tex]\frac{1}{4}[/tex]x² = (1/4) (4²) = 4 ≠ 1 (not valid)

B: g(x) = [(1/4) x]² = [(1/4) 4]² = 1² = 1 (valid)

C: g(x) = 4x² = 4 (4²) = 64 ≠ 1 (not valid)

D: if you expand it out, you'll find that this is identical to option A which we determined earlier to be not valid.

Hence the only valid choice is B

The figures that are reflections of ABCD are KLMN, PQRS and WXYZ

The given parameters are

ABCD ≅ KLMN ≅ PQRS ≅ WXYZ

The above parameter can be rewritten as

ABCD ≅ KLMN

ABCD ≅ PQRS

ABCD  ≅ WXYZ

The above parameters mean that:

Using that as a guide, we understand that:

Congruent shapes can be reflections of one another

This means that the figures that are reflections of ABCD are the figures that are congruent to ABCD

Hence, the figures that are reflections of ABCD are KLMN, PQRS and WXYZ

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Answer: b,d

Step-by-step explanation: im smart

Hola! My name is Zalgo and I am here to help you out today. So, let's observer everyone's ratio and if it can be simplified, we can simplify ti to make it easier. Jasmine has 12:10, Aaron has 3:2, Lucian has 10:10 and Gretchen has 14:2. If we simplify Jasmines, for every 6 blue, she has 5 red (6:5). Lucian has an equal ration if we simplify it (1:1) and Gretchen would have 7 blue for every 1 red (7:1). So, the person with the lowest ration would be Lucian.

I hope that this helps! :3

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Gracias! XT)

Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have data shown in the table:

For Jasmine, the ratio of blue to red marbles:

12:10

6:5

For Aaron, the ratio of blue to red marbles:

3:2

For Lucian, the ratio of blue to red marbles:

10:10

1:1

For Gretchen, the ratio of blue to red marbles:

14:2

7:1

Thus, Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.

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