Help to answer 2 & 3 Pablo and Jasmine had just started studying systems of linear equations in algebra. They looked at Pedro's drawing and said, "We could write that as a system of equations." Let t be the price of each taco and d be the price of each drink. - Write an equation that represents the cost of Pablo's order. (6T + 2D = 9) - Write an equation that represents the cost of Jasmine's order. (4T + 2D = 7) 2. What operations with the equations from part (1) match your way of using Pedro's sketch to find the prices t and d? 3. Why do the operations make sense?

Answer:

Step-by-step explanation:

let use x as 'a number'

6 [tex]*[/tex] (9+x)

or

6 * (x+9)

Six times the sum of nine and the number x is 54+6x.

Suppose the number is x.

So, the sum of nine and x =9+x

A number is a mathematical object used to count, measure, and label.

Six times the sum of nine and a number means multiplication of 6 and the number 9+x.

Six times the sum of nine and the number x=6(9+x)

Six times the sum of nine and  the number x =54+6x

Hence, Six times the sum of nine and the number x is 54+6x.

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Answer:

$39 is the correct answer .

Step-by-step explanation:

Let the amount he earned on the afternoon  be x then

Amount earned in morning + Amount earned in afternoon=total amount

[tex]\$ 21 +\ x\ =\ \$ 60 \\\ x=\$60 -\$ 21\\x=\$ 39[/tex]

Therefore $39 is the amount he earned on afternoon .

Answer:

The lengths are 5, 12, and 13.

Step-by-step explanation:

Let x represent the shorter leg of the triangle. Since the other leg is 7 cm more, the longer leg is x+7. Since the length of the hypotenuse is 3 cm more than double that of the shorter leg, the hypotenuse is 2x+3.

The Pythagorean Theorem may be used to find the lengths.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]  a, b are the short and long lengths and c is the hypotenuse

→ [tex]x^{2} + (x+7)^{2} = (2x+3)^{2}[/tex]

→ [tex]x^{2} + x^{2} + 14x + 49 = 4x^{2} + 12x + 9[/tex]

→ [tex]2x^{2} + 14x + 49 = 4x^{2} + 12x + 9[/tex]

→ [tex]2x^{2} - 2x - 40 = 0[/tex]

→ [tex]x^{2} - x - 20 = 0[/tex]

→ [tex](x-5)(x+4) = 0[/tex]

→ [tex]x = 5[/tex] (The length cannot be negative)

The shorter leg, x, is 5 cm. Since the longer leg is x+7, it is 12 cm. Since the length of the hypotenuse is 2x+3, the hypotenuse is 13 cm.

Answer:

w=−5

Step-by-step explanation:

Step 1: Subtract 3w from both sides.

7w+5−3w=3w−15−3w

4w+5=−15

Step 2: Subtract 5 from both sides.

4w+5−5=−15−5

4w=−20

Step 3: Divide both sides by 4.

4w4=−204

Answer: w=−5

Hope this helps.

Answer:

w =-5

Step-by-step explanation:

Group the variables and constant on each side

remember that the signs will change while switching the places.

7w-3w=-15-5

4w=-20

divide the coefficient to keep only the variable and find its value

4÷4w= -20÷4

w= -5

therefore w is -5

Answer:

D 720

Step-by-step explanation:

Take the max calories and multiply by the percent

2400*30%

Change to decimal form

2400 *.30

720

Answer:

$30

Step-by-step explanation:

since there is no sales tax,

Amount of money used to pay

= change + total price of items bought

Let's find the total price of the items she bought.

Chicken

1 package ----- $12.36

2 packages ----- 2($12.36)= $24.72

Broccoli

1 pound ----- $1.98

½ pound ----- $1.98 ÷2= $0.99

Milk

1 gallon ----- $3.49

Total amount paid

= $24.72 +$0.99 +$3.49

= $29.20

Thus, amount of money Susan used to pay

= $29.20 +$0.80

= $30

Answer:

5 cm

Step-by-step explanation:

The rectangle has a length (l) of 7 cm and a width (w) of 3 cm. Therefore, the perimeter of the rectangle is:

Perimeter of rectangle = 2(l + w) = 2(7 + 3) = 2(10) = 20 cm

Since the rectangle and the square has the same perimeter, Therefore, the perimeter of the square is:

Perimeter of square = 2(l + w). But the length and width of a square are the same (i.e l = w). Therefore:

Perimeter of square = 4l

20 = 4l

l = 20 / 4 = 5 cm

Each side of the square has a length of 5 cm

Answer:

sinΘ = [tex]\frac{24}{25}[/tex]

Step-by-step explanation:

sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex]

The opposite is 24, but we require the hypotenuse h

Using Pythagoras' identity

h² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

h = [tex]\sqrt{625}[/tex] = 25

Thus

sinΘ = [tex]\frac{24}{25}[/tex]

Answer:

Step-by-step explanation:

The only angle we are given directly inside that triangle is angle R, 87 degrees. We can use the fact that the exterior angle at T is 92, so the interior angle is 180 - 92 = 88.  Now we can find angle S: 180 - 87 - 88 = 5. So angle S = 5 degrees. The Law of Sines can be used now to find the length of SR:

[tex]\frac{sin5}{950} =\frac{sin88}{x}[/tex]

Cross multiply to get

x sin5 = 950 sin88 and

[tex]x=\frac{950sin88}{sin5}[/tex] so

x = 10,893 km

Answer:

Domain is 1.375 s to 3 s

Step-by-step explanation:

It is given that, A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t)= -16t²+44t+12

We have to find the domain of the graph of the function when the basketball falls from its maximum height to the ground. It is shown in the attached graph.

It is clear that, the domain of the graph is from 1.375 s to 3 s. Its maximum height is 42.25 feet.

please mark brainliest :)

Answer:

1,375

Step-by-step explanation:

Xv = -b/2a

Xv = -44/2*(-16)

Xv = 44/32

Xv = 1,375

Answer: 26

Step-by-step explanation:

From -10 to 0 will be 10

1 to 16 are 16

Answer:

Step-by-step explanation:

There are several things you need to know in order to write the absolute value equation for a situation. First is how to formulate what you need. The absolute value equation follows the formatting:

| x - midpoint | = the distance between the midpoint and one of the endpoints.

That means we also need to be able to find the midpoint of -10 and 16. Finding the midpoint is finding the middle, which is the same as finding an average of the 2 numbers.

[tex]M=\frac{-10+16}{2}=3[/tex]

So the midpoint is 3. The distance between 3 and either one of the endpoints is going to be the same, by definition of the midpoint of the 2 numbers. The distance between 3 and 16 is 13 units. The distance between 3 and -10 is also 13 units. So, to put this into an absolute value equation,

| x - 3 | = 13

Answer:

C

Step-by-step explanation:

yeah its C

The requried function with the smallest x-intercept value is C. f(x) = √(x+1), which has an x-intercept of -1.

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
The x-intercept is the point where the graph of a function intersects the x-axis. At this point, the value of y is 0. To find the x-intercept of each function, we set y equal to 0 and solve for x.

A. f(x) = 3x – 9

0 = 3x – 9

3x = 9

x = 3

B. f(x) = 1/x + 4

0 = 1/x + 4

-4 = 1/x

x = -1/4

C. f(x) = √(x+1)

0 = √(x+1)

x = -1

D. f(x) = x²

0 = x²

x = 0

Therefore, the function with the smallest x-intercept value is C. f(x) = √(x+1), which has an x-intercept of -1.

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Answer: The number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .

Step-by-step explanation:

Given word = "EQUATION"

Total letters = 8

Total Vowels (EUAIO)=5

Total number of ways to arrage letters = 8!

Number of ways to arrange vowels in alphabetical order = 5!

Then, The number of ways that all the vowels are in alphabetical order will be :

[tex]\dfrac{8!}{5!}=\dfrac{8\times7\times6\times5!}{5!}=336[/tex]

Hence, the number of ways of arranging the letters of EQUATION, so that all the vowels are in alphabetical order = 336 .

Answer:

Step-by-step explanation:

Let the total amount of the money = x

Therefore:

[tex]\dfrac16x=1.50\\x=1.50 \times 6\\x=\£$ 9[/tex]

Daoud gets 1/2 of the money.

Therefore: Daoud's share of the money

[tex]=\dfrac12 \times \£$ 9 =\£$ 4.50[/tex]

Elsa's Share of the money = 9-(4.50+1.50)=£3

Therefore:

Amount of money Toby gets: Amount of money Elsa gets

= 1.50: 3

Divide both sides by 1.50

Toby's Money : Elsa's Money=1:2

Answer:

Step-by-step explanation:

Answer: [tex]1\dfrac{4}{21}[/tex] .

Step-by-step explanation:

Given problem : [tex]\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)[/tex]

First we convert mixed fraction into improper fractions as

[tex]-5\dfrac{5}{6}=-\dfrac{5\times6+5}{6}=-\dfrac{30+5}{6}=-\dfrac{35}{6}\\-4\dfrac{9}{10}=-\dfrac{10\times4+9}{10}=-\dfrac{40+9}{10}=-\dfrac{49}{10}[/tex]

Now , plug these values in the given expression , we get

[tex]\left(-5\dfrac{5}{6}\right)\div\left(-4\dfrac{9}{10}\right)=-\dfrac{35}{6}\div\left(-\dfrac{49}{10}\right)\\\\=\dfrac{-35}{6}\times\dfrac{-10}{49}\ \ \ [\text{By Property of fraction}]\\\\=\dfrac{350}{294}\\\\=\dfrac{25}{21}=1\dfrac{4}{21}[/tex]

Hence, the answer is [tex]1\dfrac{4}{21}[/tex] .

Answer:

u = -32

Step-by-step expla

Simplify

Answer:

(x | x< -12 or x> -6)

Step-by-step explanation:

-2/3x>8 ⇒ -2/3x*3/2>8*3/2 ⇒ -x> 12 ⇒ x< -12

-2/3x<4 ⇒ -2/3x*3/2<4*3/2 ⇒ -x< 6 ⇒ x> -6

(x | x< -12 or x> -6)

Answer:

NaN ×10°

Step-by-step explanation:

Steps:

Let's simplify step-by-step.

13n2+11n−2n4−13n2−3n−6n4

=13n2+11n+−2n4+−13n2+−3n+−6n4

Combine Like Terms:

=13n2+11n+−2n4+−13n2+−3n+−6n4

=(−2n4+−6n4)+(13n2+−13n2)+(11n+−3n)

=−8n4+8n

Answer: =−8n4+8n

Convert to standard form: NaN ×10°

Hope this helps.

a Simplified form of  expression (13n²+11n−2n⁴)+(−13n²−3n−6n⁴) in the standard notation is n(2³ - n³).

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given an expression (13n²+11n−2n⁴)+(−13n²−3n−6n⁴)

Let's simplify it step-by-step.

13n²+11n−2n⁴−13n²−3n−6n⁴

=> 13n²+11n−2n⁴−13n²−3n−6n⁴

Combine Like Terms:

=> 13n²+11n−2n⁴−13n²−3n−6n⁴

=> 8n - 8n⁴

=>n(2³ - n³)

Therefore, a Simplified form of  expression (13n²+11n−2n⁴)+(−13n²−3n−6n⁴) in the standard notation is n(2³ - n³).

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Answer:

I think itd center of rotataion

Step-by-step explanation:

Answer:

center of rotation

Step-by-step explanation:

the triangle ABC is rotated about point D to create triangle A'B'C'

Answer:

x + y = 34

10*x + 15*y = 410

Step-by-step explanation:

The equation system that models the situation would be made up of two equations:

The first equation would be the total number of hours for both jobs, that is, the number of babysat work hours and the number of yardwork work hours equals 34 total hours.

x + y = 34

The second equation would be the total amount of money earned, in this case it would be to multiply the earnings of each job by the number of hours of each job and add it up and you should give a total of 410 which are your total earnings.

10 * x + 15 * y = 410

Therefore the system of equations would be:

x + y = 34

10 * x + 15 * y = 410

Answer:

18.61

Step-by-step explanation:

Answer: 72.9 in^3

Step-by-step explanation:

The softball is a sphere, and we know that the volume of a sphere is:

V = (4/3)*pi*r^3

where pi = 3.14 and r is the radius.

We also know that the radius is half the diameter, and the diameter is 5.2 in

r = 5.2in/2 = 2.6in

Then the volume is:

V = (4/3)*pi*(2.6in)^3 = 72.9 in^3

The correct answer is 73.6 in^3

Answer:

1.93

Step-by-step explanation:

5.71 - 3.8 = 1.93

Answer:

1.93

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

find 6%

429.99*6/100= 25.7994

Total cause of the laptop

429.99+25.7994= 455.79

No, the cost of the laptop after applying sales tax is $455.79.(option c)

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

We have,

Lewis saved dollar for a new laptop = 450 dollar

Laptop sticker price = 429.99 dollar

Sales tax rate = 6%

According to the question

Sales tax rate of 429.99 dollar

=429.99 × 6/100

= 25.7994

Total cause of the laptop

429.99+25.7994= 455.79

Hence, the cost of the laptop after sales tax is 455.79 dollar

Thus ,Lewis have not enough to purchase the laptop.

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Answer:

537.84

Step-by-step explanation:

First find the area of the box(covered with pizza): 30*30=900

Next, find the area of the circle: 24/2= radius; 12^2*3.13=452.16

Now we must find the area of the box that isn't covered in pizza.

To do this we can subtract the area of the box(covered in pizza) and the area of the pizza: 900-452.16

=537.84

Answer:

hope this is correct

Answer:

AC ≈ 2.87

Step-by-step explanation:

Using the sine ratio in the right triangle

sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{5}[/tex]

Multiply both sides by 5

5 × sin35° = AC , thus

AC ≈ 2.87 ( to the nearest hundredth )

Answer:

A

Step-by-step explanation:

The greatest common factor of 8m, 36m³, and 12 is 4.

4(2m), 4(9m³), and 4(3).

The HCF is the largest value that divides all three of them.

The greatest common factor of 8m, 36m³, and 12 is; 4.

Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.

We could factorize the quantities in smallest relative factors possible (the level of factors over which all quantities can form themselves), and collect as many common factors as we could.

Factorize the given numbers and identify all common factors. To get the GCF(Greatest common factor) multiply all common factors;

The Common factors are: 2 and 2, their product is 2 x 2=4, then

4(2m) =  2 x 2 x2 x m

4(9m³) =  2 x 2 x3 x3 x m x m x m

4(3) = 2 x 2 x3

Hence, the greatest common factor is 4.

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Answer:

Step-by-step explanation:

Let the number be x

Therefore the expression is (x-4)/3

Hope this helps

Plz mark it as brainliest!!!!!

Answer:

[tex]\displaystyle \frac{x-4}{3}[/tex]

Step-by-step explanation:

The number is represented through the letter x.

I think of a number, subtract four, then divide by three.

Subtract four will be - 4

Divide by three will be /3

[tex]\frac{x-4}{3}[/tex]

Answer:

The correct answer is C. the water goes through the air for only 3 seconds.

D is inncorrect because if the height of the water is negative, then it is no longer in the air.

Step-by-step explanation:

Answer:

the answer is C. 3

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Rotate 90 degrees counterclockwise , the translate three units to the left

Option C is the correct transformation to transform ABCD to A'B'C'D'.

Rotation

Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.

Vertical Translation

After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.

Horizontal Translation

The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.

Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.

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