the cost of two pies and five cakes is $45.25. the cost of 2 pies and three cakes is $39.75 find the cost of each pie and each cake

Answer:

Option 1 and 2.

Step-by-step explanation:

Consider he given inequality is

[tex]x^2 + 12 x+35\ge0[/tex]

Splitting the middle term we get

[tex]x^2 +7x+5x+35\ge0[/tex]

[tex]x(x+7)+5(x+7)\ge0[/tex]

[tex](x+5)(x+7)\ge0[/tex]

The related equation is

[tex](x+5)(x+7)=0[/tex]

Using zero product property we get

[tex]x+5=0\Rightarrow x=-5[/tex]

[tex]x+7=0\Rightarrow x=-7[/tex]

Draw number line and mark -5 and -7 on it.

Now the three intervals are (-∞ , -7], [-7,-5] and [-5,∞).

The set of possible test points for

⇒ (-∞ , -7] → -8,  -10

⇒ [-7,-5] → -6

⇒ [-5,∞) → -4, 0, 4, 6

-8,-6,-4 and -10,-6,0 satisfies the given condition.

Therefore, the correct options are 1 and 2.

Answer:

D) Implement better procedures at the security gate.

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

1.We must total 14 and 22 (14+22) that brings the number of post which is 36.

2.The we must divide 36 by 2 (36÷2). It said two stacks that is why the division by 2 comes in place and it gives us our answer 18

Answer:

No Solution.

Step-by-step explanation:

2 - 3(x + 4) = 3(3 - x)

2 - 3x - 12 = 9 - 3x

Move the terms in x to one side and the numbers to the other

-3x + 3x = 9 - 2 + 12

0 = 19.

This is absurd so there is No Solution.

The statements which are true are:

(6, 6) is the midpoint of CD

(4, 3) is the intersection point of diagonals of parallelogram

Solution:

The mid point (x,y) = [tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

A(-2, -1) and B(6, 1)

[tex]\text{ midpoint of AB } = (\frac{-2+6}{2} , \frac{-1+1}{2})\\\\\text{ midpoint of AB } = (2, 0)[/tex]

Thus statement 1 is wrong

B(6, 1) and C(10, 7)

[tex]\text{ midpoint of BC } = (\frac{6+10}{2} , \frac{1+7}{2})\\\\\text{ midpoint of BC } = (8, 4)[/tex]

Thus statement 2 is wrong

Here ,

[tex]x_1[/tex] = 10

[tex]x_2[/tex]= 2

[tex]y_1[/tex]= 7

[tex]y_2[/tex]=5

now substituting these values,

mid point of CD  = [tex](\frac{10+2}{2},\frac{7+5}{2})[/tex]

mid point of CD  = [tex](\frac{12}{2},\frac{12}{2})[/tex]  

mid point of CD  = [tex](6, 6)[/tex]

Therefore (6, 6) is the midpoint of CD

Statement 3 is correct

A = (-2, -1) and D = (2, 5)

[tex]\text{ mid point of AD } = (\frac{-2+2}{2} , \frac{-1+5}{2})\\\\\text{ mid point of AD } = (0, 2)[/tex]

Thus statement 4 is wrong

Let AC and BD be the diagonals of parallelogram

The diagonals of a parallelogram bisect each other, therefore, the point of intersection is the midpoint of either.

Midpoint of AC:

A = (-2, -1) and C(10, 7)

[tex]\text{ Midpoint of AC } = (\frac{-2+10}{2} , \frac{-1+7}{2})\\\\\text{ Midpoint of AC } = (4,3)[/tex]

Thus statement 5 is correct

Answer:

20

Step-by-step explanation:

Line m and n are parallel lines cut by the transversal (without name). So, angles with measures [tex]65^{\circ}[/tex] and [tex](3x+5)^{\circ}[/tex] are corresponding angles.

The Corresponding Angles Theorem states if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Hence,

[tex]3x+5=65\\ \\3x+5-5=65-5\\ \\3x=60\\ \\x=\dfrac{60}{3}\\ \\x=20[/tex]

Answer: Doubling the radius.

Step-by-step explanation:

The volume of a cone can be found with the following formula:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height of the cone.

Let's find the volume of the conical tent with a radius of 10.4 feet and a height of 8.4 feet.

Identifiying that:

[tex]r=10.4\ ft\\\\h=8.4\ ft[/tex]

You get this volume:

[tex]V_1=\frac{1}{3}\pi (10.4\ ft)^2(8.4\ ft)\\\\V_1=951.43\ ft^3[/tex]

If you double the radius, the volume of the conical tent will be:

[tex]V_2=\frac{1}{3}\pi (2*10.4\ ft)^2(8.4\ ft)\\\\V_2=3,805.70\ ft^3[/tex]

When you divide both volumes, you get:

[tex]\frac{3,805.70\ ft^3}{951.43\ ft^3}=4[/tex]

Therefore, doubling the radius will quadruple the volume of the tent.

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

(x+4)/3=6

Multiply by 3 on both sides

x+4=18

Subtract 4 from both sides

x=14

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Answer: 6x^2-5x+5

Step-by-step explanation:

Answer:

6x^2-5x+5

Step-by-step explanation:

Essentially, you just put the two in a column:

7x^2−6x+5

- y

=x^2-x

("y" represents answer)

Answer:

B. [tex]x=-210[/tex]

D. [tex]x=-201[/tex]

Step-by-step explanation:

Given:

The inequality for 'x' is given as:

[tex]x<-200[/tex]

The above inequality tells us that, the value of the variable 'x' is less than -200.

-200 is a negative number. So, for a negative number, the larger the value of the number, the smaller the number is.

Example: -2 is less than -1 although 2 has a greater magnitude than 1.

Therefore, the numbers that are less than -200 are -210 and -201.

So, the values of 'x' that satisfy the given inequality are -201 and -210

Thus, the correct options are (B) and (D).

Final answer:

Gary spends approximately 54.29% of his free time on video games and the internet.

Explanation:

To find the percentage of free time that Gary spends on video games and the internet, we need to calculate the total number of hours he spends on these activities and divide it by the total number of hours of free time he has.

First, calculate the total number of hours Gary spends on video games and the internet: 10 + 9 = 19 hours.

Next, calculate the total number of hours Gary has for free time in a week: 5 hours per day x 7 days = 35 hours.

To find the percentage, divide the total number of hours spent on video games and the internet by the total number of hours of free time and multiply by 100: (19 / 35) x 100 = 54.29%.

Therefore, Gary spends approximately 54.29% of his free time on video games and the internet.

To find the percentage of free time that Gary is using to play video games and use the internet, calculate the total free time and the proportion of time spent on video games and internet use.

To find the percentage of free time that Gary is using to play video games and use the internet, we need to calculate the total amount of free time Gary has and then determine the proportion of that time spent on video games and internet use.

Gary spends 10 hours per week on the internet and 9 hours per week on video games. This is a total of 10 + 9 = 19 hours per week.

Since Gary has 5 hours of free time per day, he has a total of 5 * 7 = 35 hours of free time per week.

To find the percentage, we divide the time spent on video games and internet use (19 hours) by the total free time (35 hours) and then multiply by 100. So, the percentage is (19/35) * 100 = 54.28% (rounded to two decimal places).

Answer:

215

Step-by-step explanation:

215

3

647

6

04

 3

 17

 15

   2

hope this helped

Answer:

R= {y|y>=1}

Step-by-step explanation:

D = all real numbers R= {y|y>=1}.

All polynomials have domain of all real numbers.

For the range, the vertex format is useful;

Y= (X-1)^2 + 1

Since (X-1) is never less than zero, Y>=1.

That is where the vertex is, at Y=1

Answer:

r=-2

Step-by-step explanation:

difference in y/difference in x =slope

-r-8/1-2=-9

-r-8=-9*-1

-r=10+8

r=-2

Lily has saved $ 7

Solution:

Given that bracelet costs $30

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved

Cost of bracelet = $ 30

From given statement,

Cost of bracelet = 5 times the amount she has saved - 5

Let "x" be the amount saved by lily

Cost of bracelet = 5 times x - 5

Here "times" represents multiplication

30 = 5(x) - 5

30 = 5x - 5

30 + 5 = 5x

5x = 35

On dividing 35 by 5 we get 7

x = 7

Thus Lily saved $ 7

Answer:

1.  Start with the cost of the bracelet: 30.

2. Add 5: 30 + 5 = 35.

3. Divide by 5: 35 / 5 = 7

So, Lily has $7 saved

Step-by-step explanation:

Hope it helpss ! :D

Answer:

Circumcenter describes the point equidistant to the refrigerator, stove and the sink

Step-by-step explanation:

The basic construction of the circumcenter is to identify the midpoints of the original triangle. This circumcenter is the point where all the perpendicular bisector of the sides of the triangle intersects. For an triangle that is  acute-angled, its circumcenter will lie inside the triangle. For an obtuse-angled triangle, the circumcenter lies outside of the triangle

, In a right-angled triangle, Circumcenter lies at the midpoint of the hypotenuse side of triangle.

To Find the circumcenter of the triangle

Answer:

Circumcenter

Step-by-step explanation:

Answer: The diver is 23 feet under sea level

Step-by-step explanation:

If we draw a vertical number line (image attached), where point 0 is sea level (the diver's initial position), the first point under sea level is -20, since we are told it dives a distance of 20 ft (the negative sign is only to indicate the direction, since a distance cannot be negative).

Then, the diver goes 10 ft deep. This means now it is 30 ft under sea level and the second point is -30.

After that the diver swims up 12 ft, hence we have to count 12 points up in our number line and the corresponding point is -18.

Finally, the diver swims 5 ft lower and keep that position. Hence, we have to count 5 points below point -18 in the number line, resulting in the last point: -23.

This means the diver's final position is 23 feet under sea level.

If we want to prove it with numbers, we can do it as follows:

20 ft (down)+10 ft (down)-12 ft (up)+5 ft (down)=23 ft

Answer:

y=80x+50 for the one time service fee.

Anytime after that would be y=80x

Step-by-step explanation:

Y is how much the total is and 80 is how much it is an hour. X is the number of hours worked. With the first time fee of $50, your equation would be y=80x+50. Anytime after that, excluding the “one time fee,” the equation would be y=80x.

Answer:

189

Step-by-step explanation:

7.8 6.8 and 5.8

Is what they forgot to put

Answer is 7.8

Answer: the answer would be B. ( 18y+35x over 15xy

Answer:

Full bottle can fill 34 ounces water and 27.2 ounces left in the bottle

Step-by-step explanation:

Full bottle : 100%

6.8 ounces: 20%

100% / 20% = 5

Full bottle = 6.8 x 5 = 34 ounces

water remain in bottle = 34 -6.8 = 27.2 ounces

There is 34 ounces of water in the bottle initially and this can be determined by using the unitary method.

Given :

The following steps can be used in order to determine the total amount of water in the full bottle:

Step 1 - The unitary method can be used in order to determine the total amount of water in the full bottle.

Step 2 - According to the given data, Diego pours 6.8 ounces of water from a full bottle which is the 20% of the water in the bottle.

Step 3 - If 20% is 6.8 ounces of water than the 100% is given by:

[tex]=\dfrac{6.8}{20}\times 100[/tex]

Multiply 6.8 by 100 in the above expression.

[tex]=\dfrac{680}{20}[/tex]

Divide 680 by 20 in the above expression.

= 34 ounces

So, there is 34 ounces of water in the bottle initially.

For more information, refer to the link given below:

https://brainly.com/question/21648365

Answer:

There are 7 chairs in each row.

Step-by-step explanation:

Hue is arranging some number of chairs. If she arranges them in 6 rows of equal lengths then there will be 3 chairs leftover, or she arranges them in 8 rows of that same length then she requires 11 more chairs.

Let us assume that there are P numbers of chairs and there are x chairs in each row.

Therefore, we can write that  

6x + 3 = P ....... (1) and  

8x = P + 11  

⇒ 8x - 11 = P ........ (2)

Now, from equations (1) and (2) we get,

6x + 3 = 8x - 11

⇒ 2x = 14

⇒ x = 7

Therefore, there are 7 chairs in each row. (Answer)

The GCF of given terms is: 2z

Step-by-step explanation:

A largest factor that is shared by all given terms is called greatest common factor.

So,

Given terms are:

4z , 6z^3

Factoring the terms

[tex]4z = 2.2.z\\6z^3 = 2.3.z.z.z[/tex]

The common factors in both terms are: 2 and z

So,

The GCF of given terms is: 2z

Keywords: GCF, factors

Learn more about GCF at:

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For this case we must resolve the following inequality:

[tex]750x + 150 <1000[/tex]

Subtracting 150 from both sides of the inequality we have:

[tex]750x <1000-150\\750x <850[/tex]

We divide between 750 on both sides of the equation:

[tex]x <\frac {850} {750}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {170} {150}[/tex]

We simplify, dividing by 5 numerator and denominator:

[tex]x <\frac {34} {30}[/tex]

We simplify, dividing by 2 numerator and denominator:

[tex]x <\frac {17} {15}[/tex]

Thus, the solution is given by all values of x less strict than[tex]\frac {17} {15}[/tex]

Answer:

[tex]x <\frac {17} {15}[/tex]

Answer:

Step-by-step explanation:

Sam has sold 63 pizzas, because the problem is asking what is the half of 126 basically, which is 63 and is also saying that sam sold HALF as many pizzas.

Barney can make 3 costumes from the total fabric.

Step-by-step explanation:

Given,

Amount of fabric Barney has = [tex]16\frac{1}{5}=\frac{81}{5}\ yards[/tex]

Amount of fabric required for an elf costume = [tex]5\frac{2}{5}=\frac{27}{5}\ yards[/tex]

Let,

x represent the number of costumes that can be make from total fabric.

[tex]\frac{27}{5}x=\frac{81}{5}[/tex]

Multiplying both sides by 5/27

[tex]\frac{5}{27}*\frac{27}{5}x=\frac{81}{5}*\frac{5}{27}\\\\x=\frac{81}{27}\\\\x=3[/tex]

Barney can make 3 costumes from the total fabric.

Keywords: fraction, multiplication

Learn more about fractions at:

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Answer: The nearest whole number to 6.58 would be 7.

Step-by-step explanation: The whole number 7 is closer to 6.58 than any other whole number. Hence, 6.58 rounded to the nearest whole number would be 7.

Max needs to run 15 laps around the track.

Step-by-step explanation:

Given,

Distance Max wants to run = 512 miles

Length around the track = 34 mile

34 miles = 1 lap

1 mile = [tex]\frac{1}{34}\ laps[/tex]

512 miles = [tex]\frac{1}{34}*512[/tex]

512 miles = 15.06 laps

Rounding off to nearest whole number;

512 miles = 15 laps

Max needs to run 15 laps around the track.

Keywords: unit rate, division

Learn more about division at:

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