Which statements are true? Select three options.

You can use for reference ;)

Answer:

4

Step-by-step explanation:

Answer:

10 pounds

Step-by-step explanation:

So you have some given information:

  (Price of cashews per pound) = 3.55

  (Amount of cashes) = 20 pounds

  (Price of peanuts, per pound) = 2.50

Now what you're looking for is the amount of peanuts you need to get a mixture of 3.20 per pound. So to find the price per pound. You would take the entire price and divide it by the amount of pounds. So generally it can be expressed as: [tex]\text{price per pound} = \frac{\text{price}}{\text{pounds}}[/tex] . In this equation we know we already have 20 pounds of cashews and they cost 3.55 per pound. We also know what the price per pound of the mixture is going to be, it's going to be 3.20. In the equation I'll express the amount of peanuts as "P" So we have the equation:

Plug in known values:

[tex]3.20 = \frac{20(3.55) + P(2.50)}{20+P}[/tex]

Multiply:

[tex]3.20 = \frac{71 + 2.5P}{20+P}[/tex]

Multiply both sides by 20 + P

[tex](20+P)(3.20) = 71+2.5P[/tex]

Distribute the 3.20

[tex]64+3.2P = 71+2.5P[/tex]

Subtract 2.5 from both side and subtract 64 from both sides

[tex]0.7P = 7[/tex]

Divide both sides by 0.7

[tex]P = 10[/tex]

So 10 pounds will be needed

Answer:

d.) x = -40

Step-by-step explanation:

[tex]\sf Given \ equation: \ log_{5} (-3x+5) = 3[/tex]

Solving steps:

[tex]\rightarrow \sf log_{5} (-3x+5) = 3[/tex]

If logₐ(b) = c  then  b = aᶜ

[tex]\rightarrow \sf -3x+5 = 5^3[/tex]

[tex]\rightarrow \sf -3x+5 = 125[/tex]

[tex]\rightarrow \sf -3x = 125-5[/tex]

[tex]\rightarrow \sf -3x = 120[/tex]

[tex]\rightarrow \sf x = 120/-3[/tex]

[tex]\rightarrow \sf x = -40[/tex]

Answer:

x= -40

Hope this helps!!

The quotient of the division using the long division rule is 4x^2 - x + 3

Polynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.

Dividend = 4x³+ 11x2 +9

Divisor = x + 3

Using the synthetic division to determine the quotient

        4x^2 - x + 3

x+3 | 4x³+ 11x2 +9

        4x³ + 12x²

__________________

               -x² + 0x

               -x² - 3x

___________________

                       3x+9

                       3x+9

___________________

                       -------

Hence the quotient of the division using the long division rule is 4x^2 - x + 3

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Answer:

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

Use z-score formula to find the missing value:

Substitute values into equation and find the standard deviation:

Answer:

x = 15

Step-by-step explanation:

[tex]5x + 10 = 100 - x[/tex]

[tex]6x = 90[/tex]

[tex]x = 15[/tex]

The most convenient method to graph the line y=−13x+5 is C. Identify the slope and y-intercept and then graph.

From the information given, the equation has been given. It's important to identify the slope. This is the gradient of the line.

Also, the y intercept should be identified. Therefore, the most convenient method to graph the line y=−13x+5 is to identify the slope and y-intercept and then graph.

In conclusion, the correct option is C.

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The probability of picking a martian that has completed 4 years of high school or is a male is 72 / 85.

Probability determines the odds that a random event would happen. The odds of the event happening lie between 0 and 1.

The probability = (total number of people who have finished 4 years of high school / total number of martains) + (total number of males / total number of martains)

58 / 170 + 86/170 = 144 / 170 = 72 / 85

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Step-by-step explanation:

Length = 5 cm and Breadth = 3 cm

Area of a rectangle = length × breadth

=(5×3) cm

2

=15 cm

2

Hence, Area of rectangle with length 5 cm and breadth 3 cm is 15 cm

Answer:

x = 17

Step-by-step explanation:

1) Make the bases the same then rewrite.

4 = 2²

2^2(2x - 5) = 2^3x + 7

2) Since the bases are the same, set the exponents equal to each other.

2(2x -5) = 3x + 7

4x - 10 = 3x + 7

4x - 3x = 7 + 10

x = 17

Answer:

please see explanations

Step-by-step explanation:

For the first question,

3x + 4x + 2x = 180

9x = 180°

Dividing bothsides by 9

9x/9 = 180/9

x = 20

The measure of the interior angles are :

3x = 3(20) = 60

4x = 4( 20) = 80

2x = 2(20) = 40

For the second question,

Let's find x first.

x + 92 = 180

x = 180 - 92 = 88°

To find A note that:

A = 88° + 43°

A = 131°

The required mass of aquarium when it is half full of water is 10 kg.

Mass of the aquarium = 5kg
Length = 25 cm, width = 20 cm and height = 10 cm(when half filled)

Volume, is defined as the ratio of the mass of object to its density.

Since, density of the water = 1000 Kg/m³
Now Mass of the water = Volume x density
= 25/100 x 20/100 x 10/100 x 1000
= 0.005 x 1000
= 5 kg
Now, the total mass of the aquarium when half filed by water.
= mass of water + mass of aquarium
= 5 + 5
= 10 kg

Thus, the required mass of aquarium when it is half full of water is 10 kg.

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Answer: [tex]g(x)=9x-7[/tex]

Step-by-step explanation:

See the attached image.

Answer: 14.14

Step-by-step explanation:

Volume=(4/3)*π*r³

Given  d=3

as we know that d=2r

                            3/2=r

                            1.5=r

Volume=(4/3)*π*(1.5)³

Volume =14.14

Answer: Arjun paid more than Anu of about $2000.

Total cost

unit amount × per unit cost

For Anu total cost:

⇒ 15 × $225

⇒ $3375

For Arjun total cost:

⇒ 25 × $215

⇒ $5375

Anu paid $3375 for each whereas Arjun paid $5375 for each.

Conclusion: Arjun paid more.

The true statement is (b) she did not represent the two original factors correctly on the headers

The product expression is given as:

(-2x - 1)(2x - 1)

Expand the expression

(-x - x - 1)(x + x - 1)

This means that the header of the algebra tiles would be:

-x, -x, 1 and x, x and -1

From the figure, we can see that this is incorrectly represented

Hence, the true statement is (b)

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The vertex of the given parabola is the point (3, 25).

If the parabola has roots x₁ and x₂, then the vertex of the parabola is at:

xₙ = (x₁ + x₂)/2

Here the parabola is:

y = (-2 - x)*(x - 8)

We can rewrite that to:

y = -(x + 2)*(x - 8)

Then the two roots are:

x = -2 and x = 8

Then the vertex is at:

xₙ = (8 - 2)/2 = 6/2 = 3

To get the y-value of the vertex, we evaluate the equation in x = 3:

y = -(3+ 2)*(3 - 8) = -5*(-5) = 25

The vertex is (3, 25).

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[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

Solve the proportion. [tex]\bf{\dfrac{2}{x}=\dfrac{4}{34}[/tex].

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

We multiply 2 by 34, and x by 4 (this is known as cross multiplication)

[tex]\bf{2*34=4*x}[/tex] | simplify

[tex]\bf{68=4x}[/tex] | solve in terms of x

[tex]\bf{17=x}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{Result:}[/tex]

              [tex]\bf{17=x}[/tex]

Answer:

Its the last option If you ask me.

Step-by-step explanation:

If the price goes up $1.25 every square yard, then I think its the last one.

The x intercept and y intercept of the line x + 3y = 12 are (12, 0) and (0, 4) respectively.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the line x + 3y = 12

The y intercept is at x = 0, hence:

0 + 3y = 12

y = 4

The x intercept is at y = 0, hence:

x + 3(0) = 12

x = 12

The x intercept and y intercept of the line x + 3y = 12 are (12, 0) and (0, 4) respectively.

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The evaluation of the given improper fraction is  0.64071.

We can evaluate improper fractions by simply determining the L.C.M of the denominators and equating it to the numerators.

Given that:

[tex]=\mathbf{\dfrac{2}{6.341} +\dfrac{3}{9.222} }[/tex]

= The L.C.M for 6.341 and 9.222 is 58.476702.

So, we have:

[tex]\mathbf{= \dfrac{18.444}{58.476702} +\dfrac{19.023}{58.476702} }[/tex]

[tex]\mathbf{= \dfrac{18.444+19.023}{58.476702} } }[/tex]

[tex]\mathbf{= \dfrac{37.467}{58.476702} } }[/tex]

= 0.64071

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Answer:

  17.5 m

Step-by-step explanation:

The height of a parabola above its vertex is proportional to the square of the distance from the vertex.

The towers are 1200 m apart, so each is 600 m from center. The location of interest is 300 m from center, so 1/2 the distance to a tower. Since the height is proportional to the square of the distance, the height half-way to the tower will be (1/2)² = 1/4 the height of the tower.

  (1/2)²×(70 m) = 17.5 m

The height of the cable 300 m from center will be 17.5 meters.

Answer:

(-5,0) and (4,0)

x= -5 and x= 4

Step-by-step explanation:

Answer:

3.14 PIE

Step-by-step explanation:

Use Pie the method we all learned I think it’s 3.14

The domain will be 0<x<6 and the range will be 0<y<72.

The information given implies that this would be a continuous relationship.

The process of elimination can be used to rule out the sets of numbers that are used in discrete relationships.

X is the amount of days that he was studying the plants.

The inequality is written like this for x: 0<x<6.

For the range, y is the plant food that was used which is 72 milliliters.

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Step-by-step explanation:

whoever created the original question and then probably the people copying it need to focus on writing these things correctly.

I assume this means

log(9) - log(4) ÷ log(3) - log(2)

or is anything combined in brackets ? like it could be e.g. log(4 ÷ log(3)). just as example.

and I guess we mean logarithm to the base of 10, right ?

anyway, if my assumptions are correct, then we only need to follow the regular priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so, we need to start with the division in the middle, and then do the subtractions.

log(4) ÷ log(3) = 1.261859507...

log(9) - 1.261859507... = -0.307616998...

-0.307616998... - log(2) = -0.608646993...

or was the original question

(log(9) - log(4)) ÷ (log(3) - log(2))

?

that would be way more interesting.

we use the rules of logarithm :

e.g.

log(a×b) = log(a) + log(b)

log(a/b) = log(a) - log(b)

so, we have then

log(9/4) ÷ log(3/2)

and that is equal to

log(3/2 × 3/2) ÷ log(3/2)

(log(3/2) + log(3/2)) ÷ log(3/2) = 1 + 1 = 2

if that is the case, you really, REALLY need to pay more attention to brackets and other symbols in problem definitions.