What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?

Answer:

Less than 13 pounds of grapes,

as 14 pounds of grape exceeds $35.80,

If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound

Step-by-step explanation:

Let

Quantity of Apple and grapes=20

Cost of apple=$2.19

Cost of grape=$2.60

Total cost of apple and grape=$35.80

a+g=20

a=20-g

PaQa+PgQg=35.80

2.19(20-g)+2.60g=35.80

43.8-2.19g+2.60g=35.80

0.41g=35.80-43.8

0.41g=-8

g=-8/0.41

g= -19.51

PaQa+PgQg=35.80

2.19a+2.60(-19.51)=35.80

2.19a-50.726=35.80

2.19a=35.80+50.726

2.19a=86.526

a=86.526/2.19

=39.51

PaA+PgG=35.80

Pa(20-G)+2.60G=35.80

35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0

G<13.77

Answer:

The 3rd option

Step-by-step explanation:

To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.

This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent

We know that m<D=m<E

We also know that m<DCA=m<ECB because they are vertical angles.

Vertical angles are always congruent.

Therefore, the triangles are similar.

The correct similarity statement would be 1, since <D corresponds with <E.

Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.

A pair of alternate interior angles would be <D and B or or <E  and <A

There is no way to prove this, since we do not know any of the angle  or that measurements or if the triangles are isosceles triangles.

Hence, the correct choice would be 1 only.

Step-by-step explanation:

Angle XBC = 55 degrees because it is a corresponding angle with Angle AXC

and corresponding angles are equal or congruent.

Ok so angle XBC = 55 degrees and since this an isosceles triangle

XBC = XCB which means XCB = 55 degrees

Now to find angle BXC we know that all angles of a triangle add up to 180 degrees.

Angle XBC + Angle XCB + Angle BXC = 180 degrees

Let x represent angle BXC

55 + 55 + x = 180

110 + x = 180

x = 180 - 110

x = 70

∴ Angle BXC = 70 degrees

Answer:

A

Step-by-step explanation:

[tex](10^{-2})^{4}[/tex]

Apply the law of exponents.

[tex]10^{-2 \times 4}[/tex]

[tex]=10^{-8}[/tex]

Answer:

[tex] = {10}^{ - 8} \\ [/tex]

Answer A is correct.

Step-by-step explanation:

[tex] {( {10}^{ - 2}) }^{4} \\ {10}^{ - 2 \times 4} \\ = {10}^{ - 8} [/tex]

Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches

Answer:

2x/4y = x/2y = x : 2y

Step-by-step explanation:

The question only gave us the cost of each white tiles and blue tiles respectively . The cost of each white tiles is £2  while the cost of each blue tiles is £4. The total cost of the blue tiles and the white tiles can only be calculated if we know the number of blue and white tiles available.

Let us assume

the number of white tiles = x

the number of blue tiles = y

total cost of white tiles = 2 × x = 2x

total cost of blue tiles =  4 × y = 4y

Therefore, the ratio of the total cost of white tiles to the total cost of the blue tiles can be expressed as follows

2x/4y = x/2y = x : 2y

If the number of white and blue tiles is known it can be replaced in the ratio to find the ratio of the total cost of the white tiles to the total cost of the blue cost.

Answer:

1/3

Step-by-step explanation:

7/12 - 3/12= 4/12= 1/3

Answer:

DF = 25

Step-by-step explanation:

We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

So,

DF = [tex]\frac{1}{2} AC[/tex]

Where AC = 50

DF = 50/2

DF = 25

Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = [tex]\frac{1}{2} *4[/tex]

                     = 2 papas secas

Cerdo = [tex]\frac{1}{2} *4[/tex]

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = [tex]1\frac{1}{2} *4[/tex]

                       = [tex]\frac{3}{2} *4[/tex]

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

Step-by-step explanation:

_2x _3x+3+64-4=

_5x+63

Step-by-step explanation:

here first you have to find the perimeter of square

given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....

now you have the radius of the circle so by applying the formula of area of circle the answer will be finded

Please follow

Answer:

38.47 units²

Step-by-step explanation:

I got it right on the test...

Answer:

138

Step-by-step explanation:

Let the number of employees before the layoff be x.

1/6 of the company's workers were laid off and the remaining workers are 690. This means that:

1/6 * x = x - 690

=> x/6 = x - 690

=> 690 = x - x/6

690 = 5x/6

=> x = (690 * 6) / 5

x = 828

There were 828 workers before the layoff. Therefore, the number of employees that were laid off is:

828 - 690 = 138 employees

The company's laying off its workforce is an illustration of proportions.

A total of 138 employees were laid off

The proportion (p) laid off is given as:

[tex]p = \frac 16[/tex]

The proportion (q) remaining in the workforce would be

[tex]q = 1 - p[/tex]

This gives

[tex]q = 1 - \frac 16[/tex]

[tex]q =\frac 56[/tex]

The workforce after 1/6 were laid off is given as 690.

So, we have:

[tex]q \times n = 690[/tex]

Where n represents the original workforce

This gives

[tex]\frac 56 \times n = 690[/tex]

Multiply both sides by 6/5

[tex]n = 828[/tex]

The number of employees that were laid off is:

[tex]Employee = 828 - 690[/tex]

[tex]Employee = 138[/tex]

Hence, 138 employees were laid off

Read more about proportions at:

https://brainly.com/question/16981404

Answer:

The answer is "[tex]\bold{-\frac{1}{2}}[/tex]"

Step-by-step explanation:

Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1.  In total, there are four balls, so his probability of winning is:  

[tex]\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}[/tex]

The chances of losing a dollar add up to that amount, so 5/6.  

Price predicted = [tex]\frac{1}{6} \times (2) + \frac{5}{6} \times (-1)[/tex]

                          [tex]=\frac{1}{6} \times 2 + \frac{5}{6} \times -1\\\\=\frac{1}{3} - \frac{5}{6} \\\\=\frac{2-5}{6}\\\\=\frac{-3}{6}\\\\=- \frac{1}{2}\\[/tex]

The final answer is "[tex]-\frac{1}{2}[/tex]"

Answer:

Answer choice A) About 38.47 square units

Step-by-step explanation:

Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths. The perimeter of the square and therefore the circumference of the circle is 5.5*4=22. The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is therefore:

[tex]\dfrac{22}{2\pi}\approx 3.503[/tex]

Since the area of a circle is [tex]\pi r^2[/tex], the area of this circle is:

[tex]\pi \cdot 3.503^2= 3.14\cdot 12.271\approx 38.47[/tex]

Hope this helps!

The area of a circle with a circumference that equals the perimeter of the square is  about 38.47 square units

Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths.

The perimeter of the square and therefore the circumference of the circle is [tex]5.5*4=22.[/tex]

The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is, therefore

[tex]22/2\pi=3.503[/tex]

The area of a circle is [tex]\pi r^2[/tex],

the area of this circle is:

=[tex]\pi \times 3.305^2[/tex]

[tex]=3.14(12.27)[/tex]

=38.47 unit^2

Thus, The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units.

To learn more about the circle visit:

https://brainly.com/question/24375372

#SPJ2

Answer:

14

Step-by-step explanation:

The range of a given set of values is the lowest value deducted from the highest value.

Lowest value is -8 and highest value is 6.

Therefore,

[tex]Range = Highest value - Lowest value \\ = 6 - ( - 8) \\ = 6 + 8 \\ = 14[/tex]

Hope it helps!

Answer:

Point B is 3/4

Step-by-step explanation:

the number line is split into fourths. Therefore, it is 3/4

Answer:

Irrational

Step-by-step explanation:

3 1/3 × √52

= 10/3 × √52

= 20/3√13

= 24.037009

Irrational, the product cannot be written in the form p/q as a fraction.

Answer:

irrational

Step-by-step explanation:

3 1/3 * sqrt(52)

Changing to an improper fraction

10/3 * sqrt(52)

10 /3 * sqrt( 4*13)

10/3 * sqrt(4) sqrt(13)

10/3 * 2 sqrt(13)

20/3 sqrt(13)

Since sqrt(13) is irrational the product is irrational

Answer:

6 sq. units

Step-by-step explanation:

The area of a triangle is base times height divided by 2.

[tex]\frac{bh}{2}[/tex]

[tex]\frac{6 \times 2}{2}[/tex]

[tex]\frac{12}{2} =6[/tex]

Answer:

D. 6

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:

A=1/2bh

A=1/2(6)(2)

A=1/2(12)

A=6

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

37

The maximum number of people who could fit in this room is 37

Step-by-step explanation:

Given;

The area of a room A = 9 × 10^4 square inches

Minimum Area needed per person M = 2.4×10^4 square inches

The maximum number of people who could fit in this room is;

N = The area of a room A/Minimum Area needed per person M

N = A/M

Substituting the values;

N = 9×10^4 ÷ 2.4×10^3

N = 37.5

Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.

N = 37

The maximum number of people who could fit in this room is 37

Answer:

Brainliest!!!

Step-by-step explanation:

A:B

1:2

B:C

4:3

B is both 4 and 2

In B:C, B is double (in ratio) than when B is in A:B

2:4:2

A:B:C

this would mean there is a total of 8

A would get  1/4 of the 90 pounds

Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

CHECK THE COMPLETE QUESTION BELOW:

Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour

Answer:

I will make $13.2 per hour

Explanation:

It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour

Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that

10% = (10/100)*$12per hour

=$1.2per hour

Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:

15% = (15/100)*$12per hour

=$1.8 per hour

which means that Employee gets additional $1.8 per hour

of the money for working from 12.00 AM to 01.00 AM

Therefore, if Employee works from 2.00 PM to 12.00 AM,

Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which

= $12 + $1.2 = $13.2

= \$ 12 + \$ 1.2 = \$ 13.2

Answer:

length of side of square = (4x - 5) inches

Step-by-step explanation:

We are given;

Area of square = 16x² – 40x + 25

Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a

Thus;

x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)

x = [40 ± √(1600 - 1600)]/32

x = (40 ± 0)/32

x = 40/32

x = 5/4

Thus, the factors of the polynomial are;

(4x - 5)²

So,

Area = 16x² – 40x + 25 = (4x - 5)²

Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches

Answer:

[tex]x=66^\circ[/tex]

Step-by-step explanation:

[tex]x=\frac{180^\circ - 48^\circ}{2}\\\\=\frac{132^\circ}{2}\\\\=66^\circ[/tex]

Best Regards!

Answer:

70

Step-by-step explanation:

well you know that angles in the same segment are equal so angle VWZ also= 38

triangle VWZ is a triangle so the sum of interior angles sums to 180

180-72-38=70

Answer: 1/100 of a mile

Step-by-step explanation:

36 inches is equal to 3 feet which is equal to 1 yard

1/100 of a mile = 633.6 inches

Answer:

1/100 of a mile

Step-by-step explanation:

Answer:

The answer is "64".

Step-by-step explanation:

Given:

8-sided fair die

output of Die = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }

if the Dice is thrown two times. so, the possible outputs are as follows:

[tex]\to 8 \times 8=64[/tex]

[tex]\texttt{ = (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),}\\ \ \ \texttt{(1,7),( 1, 8),(2,1),(2,2),(2,3),(2,4),}[/tex]

[tex]\texttt{(2,5),(2,6),(2,7),(2,8),(3,1), (3,2),}\\ \texttt{(3,3),(3,4),(3,5),(3,6),(3,7),(3,8) ,}\\\texttt{(4,1),(4,2),(4,3), (4,4),(4,5),(4,6),} \\[/tex]

[tex]\texttt{(4,6),(4,7),(4,8),(5,1),(5,2),(5,3),}\\\texttt{(5,4),(5,5),(5,6),(5,7),(5,8),(6,1),}\\\texttt{(6,2),(6,3),(6,4),(6,5),(6,6),(6,7),}[/tex]

[tex]\texttt{(6,8),(7,1),(7,2),(7,3),(7,4),(7,5),} \\\texttt{(7,6),(7,7),(7,8),(8,1),(8,2),(8,3),}\\ \texttt{(8,4),(8,5),(8,6),(8,7),(8,8)}[/tex]

That's why the product is 64.

Answer:

almonds cost $3.25 per pound and jelly beans $2.50

Step-by-step explanation:

system of linear equations

2a+3j=14

4a+8j=33

solution is (3.25, 2.5)