5.5B+4R=285, point, 5, B, plus, 4, R, equals, 28
The above equation is true if Amit buys BBB pounds of blueberries and RRR pounds of raspberries at a farm where blueberries cost \$5.50$5.50dollar sign, 5, point, 50 per pound and raspberries cost \$4.00$4.00dollar sign, 4, point, 00 per pound. According to the equation, how much does Amit spend in total on both types of berries?

Answers

Answer 1

Answer:

$285

Step-by-step explanation:

Blueberries:

B = number of pounds of blueberries bought

$5.50 = price of blueberries per pound

$5.50B = total price of B pounds of blueberries

Blueberries:

R = number of pounds of raspberries bought

$4 = price of raspberries per pound

$4R = total price of R pounds of raspberries

Total:

$5.5B + $4R

Since 5.5B+4R=285, then Amit spends in total on both types of berries $285

Answer 2

Complete question:

5B+4R=28

The above equation is true if Amit buys B pounds of blueberries and R pounds of raspberries at a farm where blueberries cost $5.50 per pound and raspberries cost $4.00 per pound. According to the equation, how much does Amit spend in total on both types of berries?

Answer:

In total Amits spends $28 in both types of berries.

Step-by-step explanation:

The equation is

5B+4R=28

B represent the weight in pounds of the blueberries and R represent the weight in pounds of the raspberries.

B =  weight in pounds of blueberries

R = weight in pounds of raspberries

The price per pound of blue berries is $5.50. The amount of blueberries he takes depending on the number of pounds Amit buys which is equals to 5B.

Cost of blueberries depending on the number of pounds = 5.5B

The price per pound of the blue berries is $4.00 .The cost of raspberries he takes depend on the number of pounds Amit buys which is equal to 4R.

Cost of raspberries depending on the number of pounds = 4R

The total cost of both blueberries and raspberries depending on the number of pounds is equals to 5B+4R=28

Total cost

5B+4R=28

In total Amits spends $28 in both types of berries.


Related Questions

What is 53 divided by 30?

Answers

Answer:

1.76666666666666666

Answer:

53/30=1.7666666...

Step-by-step explanation:

how can you find the function rule from a table of values

Answers

Go to BTS channel it will give you the answer

Peter filled 5 cups each with 1 pound of candy. How much candy did the 5 cups contain altogether? 5 1/2 pounds
6 1/2 pounds 7 pounds 7 1/2 pounds

Answers

Step-by-step explanation: i think it is B

Which equation shows y=-x+4 is in standard form?
2x - y=8
Ox+2y=-8
O
x + 2y = 8
2x + y = 8

Answers

Answer:

(c) [tex]x + 2y = 8[/tex]

Step-by-step explanation:

The question is missing some important data which is necessary to solve it.

The correct question is as follows:

Which equation shows [tex]y=-\frac{1}{2}x+4[/tex] is in standard form?

(a) [tex]2x-y=8[/tex]

(b) [tex]x + 2y=-8[/tex]

(c) [tex]x + 2y = 8[/tex]

(d) [tex]2x + y = 8[/tex]

Solution:

Given equation:

[tex]y=-\frac{1}{2}x+4[/tex]

To convert the given equation to standard form.

The standard form of a linear equation is given by:

[tex]Ax+By=c[/tex]

where

A is a positive integer  and B and C are integers

We have:

[tex]y=-\frac{1}{2}x+4[/tex]

Multiply both sides by 2  to remove the fraction

[tex]2y=(-\frac{1}{2}x\times 2)+(4\times 2)[/tex]

[tex]2y=-x+8[/tex]

Adding [tex]x[/tex] both sides

[tex]x+2y=x-x+8[/tex]

[tex]x+2y=8[/tex]

∴ The standard form of the equation is ⇒ [tex]x+2y=8[/tex]

3 1⁄2 kilometers = hectometers

Answers

Answer:

35 hectometers

Step-by-step explanation:

1 kilometer=10 hectometers

3 1/2=7/2

7/2*10=35

Answer:

[tex]\large\boxed{3\dfrac{1}{2}\ kilometers=35\ hectometers}[/tex]

Step-by-step explanation:

[tex]PREFIXES\\\\mega\ (M)=10^6\\\\kilo\ (k)=10^3\\\\hecto\ (h)=10^2\\\\deko\ (da)=10\\\\decy\ (d)=10^{-1}=0.01\\\\centi\ (c)=10^{-2}=0.01\\\\mili\ (m)=10^{-3}=0.001\\\\mikro\ (\mu)=10^{-6}=0.000001[/tex]

[tex]3\dfrac{1}{2}=3.5\\\\1\ kilometers=10\ hectometers\ (1\ km=10\ hm)\\\\3\dfrac{1}{2}\ km=3.5\ km=3.5\cdot10\ hm=35\ hm[/tex]

You go to a school dance. There is an entrance fee, and there are slices of pizza for sale. After having 1 slice of pizza, you have spent a total of $6. After having 2 more slices of pizza, you have spent a total of $10. Write an equation that represents the total cost y after buying x slices of pizza at the dance

Answers

Answer:

Equation that represents the total cost is  y =  4 +  2 x

Step-by-step explanation:

Here,  x :  slices of pizza eaten at the dance.

y :  total cost paid in the school dance

Let a : Cost of each slice of pizza.

So, according to the question:

Entrance fee + cost 1 slice of pizza = $6

or, Entrance fee = $ 6 - Cost of 1 slice  .......  (1)

Similarly, Entrance fee + cost 3 slice of pizza = $10

or, Entrance fee = $ 10 - Cost of 3 slice ............ (2)

Comparing both equation , we get:

$ 6 - Cost of 1 slice = $ 10 - Cost of 3 slice

or, 6 - a  = 10 - 3 a

or, 2 a  = 4

a= 2, So the cost of each slice of pizza = $2

Putting the value of a in 1 we get

Entrance fee =  6 - $ 2 =$4

Now, the cost of x slice of pizza = x ( $2) = 2x

So, the total cost y for x slice of pizza = Entrance fee+ Cost of x  slices

or,  y = $ 4 +  2 x

Equation that represents the total cost is  y =  4 +  2 x

Final answer:

The equation that represents the total cost y after buying x slices of pizza is y = 2x + 4, which includes the cost of each slice of pizza ($2) and the entrance fee ($4).

Explanation:

To write an equation that represents the total cost y after buying x slices of pizza at the dance, you can use the information given to create two points: (1, $6) and (3, $10). From the first point, you know there is a fixed entrance fee plus the cost of one slice of pizza. By the time you purchase two more slices (for a total of three), the cost is $10. This scenario implies that each additional slice of pizza has a constant price.

With two points, you can find the slope of the line, which represents the price of each slice of pizza. The slope m is the change in cost divided by the change in the number of slices: m = ($10 - $6) / (3 - 1) = $4 / 2 = $2 per slice. The entrance fee is the y-intercept of the line, which is the initial cost without any pizza, and can be found by extending the line back to the y-axis. The total cost without any pizza is the cost after one slice minus the cost of that slice, which gives us $6 - $2 = $4.

The final equation becomes y = 2x + 4, where y represents the total cost and x represents the number of slices of pizza purchased.

2,952 = 72=
It’s is another hard question on my math homework pls help

Answers

Answer:41

Step-by-step explanation:

Mr. Johnson's lunch bill is $29.90, which includes a 15% típ
What is the price before tip, b, of Mr. Johnson's lunch?

Answers

Answer:

price before tip (b) = $26

Step-by-step explanation:

29.90 is INCLUDING tip, so the real bill, b, would be less.

Now, since 29.90 is including 15% tip, and we let the original bill be "b", we can say:

b INCREASED by 15% gives us 29.90

We need to come up with an equation and solve for b.

15% means 15/100 = 0.15

Now, we can write:

b + 15% of b = 29.90

or

b + 0.15b = 29.90

then

1.15b = 29.90

b = 29.90/1.15

b = 26

So, price before tip (b) = $26

Answer:

the answer is 26

Step-by-step explanation:

Write the word sentence as an inequality.
The quotient of a number g and -2 is fewer than -6.
An inequality is a

Answers

Answer:

[tex]\displaystyle -6 > \frac{g}{-2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{g}{-2} < -6[/tex]

The keywords are fewer than, so the inequality receives the less than symbol, NOT greater than or equal to.

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

The word sentence translates to the inequality 'g / -2 < -6', representing the relationship where the quotient of a number g and -2 is less than -6.

Writing the word sentence 'The quotient of a number g and -2 is fewer than -6' as an inequality involves translating the words into a mathematical expression. Inequality symbols are used to show how two measurements, or in this case, expressions, are related. The quotient of a number and another number is represented by the division of those two numbers. 'Fewer than' indicates that the expression on the left side is less than (<) the expression or value on the right side.

Therefore, the statement can be translated to the mathematical inequality as g / -2 < -6. This inequality shows the relationship between the variable g and the numbers -2 and -6, with the quotient of g and -2 being less than -6.

A quadrilateral has vertices A(4,9), B(2,5), C(8,2), and D(10,6). Which statement about the quadrilateral is true?​

Answers

Answer:

it is letter B

The given quadrilateral is not a parallelogram, is convex, and is not a square.

The question asks for the statement that is true about the given quadrilateral with vertices A(4,9), B(2,5), C(8,2), and D(10,6). To determine the truth of statements, we need to consider the properties of the given quadrilateral.

One statement that is true is that it is not a parallelogram. This can be proven by showing that opposite sides are not parallel, as the slopes are not equal.

Another statement that is true is that it is a convex quadrilateral. A convex quadrilateral is one where all interior angles are less than 180 degrees. To prove this, we can calculate the angles and show that they are all less than 180 degrees.

Lastly, a true statement is that it is not a square. A square is a special type of parallelogram with 4 equal sides and 4 right angles. We can determine this by calculating the lengths of the sides and showing that they are not all equal.

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Parallelograms:
ABCD∼A1B1C1D1.
Find BC, B1D1

Answers

Answer:

[tex]BC = 4.8[/tex] and [tex]B_{1}D_{1} = 6.25[/tex]

Step-by-step explanation:

The parallelograms ABCD and [tex]A_{1} B_{1} C_{1}D_{1}[/tex] are similar.

Now, AB = 8 (Given in the figure), so CD = 8.

Now, we can write, [tex]\frac{BC}{B_{1}C_{1}}  = \frac{CD}{C_{1}D_{1}}[/tex]

⇒ [tex]\frac{BC}{3} = \frac{8}{5}[/tex]

{Since, given that [tex]B_{1}C_{1} = 3[/tex] and [tex]C_{1}D_{1} = 5[/tex]}

[tex]BC = \frac{8 \times 3}{5} = 4.8[/tex] (Answer)

Again, we can write, [tex]\frac{BD}{B_{1}D_{1}}  = \frac{CD}{C_{1}D_{1}}[/tex]

⇒ [tex]\frac{10}{B_{1}D_{1}} = \frac{8}{5}[/tex] {Since, BD = 5 + 5 = 10}

[tex]B_{1}D_{1} = \frac{5 \times 10}{8} = 6.25[/tex] (Answer)

A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?
The piggy bank has nickels and dimes.

Answers

Answer:

64 nickels and 24 dimes are there in the piggy bank.

Step-by-step explanation:

There are  $5.60 in the piggy bank in nickels and dimes.

Let x number of nickels and y number of dimes are there.

Now, 1 nickel ≡ 0.05 dollars and 1 dime ≡ 0.1 dollars.

So, 0.05x + 0.1y = 5.6

⇒ 5x + 10y = 560

x + 2y = 112 ....... (1)

Again, from the condition given we can write that,

So, 3y - 8 = x ........ (2)

Now, solving (1) and (2) we get 3y - 8 + 2y = 112

⇒ 5y = 120

y = 24  

And from equation (2) we get x = 3y - 8 = 64.

So, there are 64 nickels and 24 dimes in the piggy bank. (Answer)

Answer:

 64 nickels and 24 dimes in the piggy bank.

Step-by-step explanation:

If h(x)=x-7 and g(x)=x^2, witch expresión is equivalent to(g*h)(5)?

Answers

Answer: 4

Step-by-step explanation:

(g*h)(5) = 4

Firstly, h(5) = 5 - 7 = -2

Then, evaluate g(-2) = (-2)^2 = 4


The temperature increased 16°C
during the morning. At noon the
temperature was 13°C. What was
the beginning temperature, t?

Answers

Answer:

-3°

Step-by-step explanation:

13°-16°=(-3°)

Match the real-world problem to its constant of proportionality.

a. $18.36 for 3 pizzas [box]
b. $4.17 for 3 pounds of bananas [box]
c. $16.48 for 4 pounds of potatoes [box]
d. 2 cups of flour to make 24 cookies [box]


Place in the box 12 4.12 6.12 1.39

WIN BRAINLIEST

Answers

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒[tex]x \propto y \implies k = \frac{x}{y}[/tex]  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, [tex]k = \frac{x}{y} = \frac{18.36}{3}  = 6.12[/tex]

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, [tex]k = \frac{x}{y} = \frac{4.17}{3}  = 1.39[/tex]

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, [tex]k = \frac{x}{y} = \frac{16.48}{4}  = 4.12[/tex]

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  [tex]k = \frac{x}{y} = \frac{24}{2}  = 12[/tex]

So, the proportionality constant is 12.

a male lion eats about 108 pounds of meat in a week about how much does it eat in a day

Answers

Answer:

15.43 pounds of meat in a day

Step-by-step explanation:

108 pounds per week,

1 week=7 days,

108/7=15.43

Answer:

15 remainder 3

Step-by-step explanation:

108÷7

7 because 1 week= 7 days

108÷7=

15 remainder 3

how much horsepower would a Challenger SRT® Hellcat Redeye Widebody need to tow the SS Delphine up the industry standard: Davis Dam Grade Climb?

Pro Tips:
Davis Dam assumed grade = 7% Air density is sea level conditions (.002377 slugs/f^t3) w(weight) of the SS Delphine + trailer + Redeye = 3,922,000 + 150,000 + 4451 Lbs Crr = coefficient of rolling resistance = .015 Assume Combined CDA is 1555 ft^2 SAE J2807 (Davis Dam Grande Climb) - min speed is 40mpg (59 ft/s) F(drag) = 1/2p x V^2 x C(d)A F(rolling resistance) = W x cos x Crr F(weight) = W x sin F(sum) = F(drag) + F(rr) + F(weight) P = F(sum)XV convert to horsepower = P(1hp/550ft lbf/sec)

Answers

Answer: I am getting a result around the 54,800 area, so I am selecting the 55,000 HP answer.

Answer:

37769 hp

Step-by-step explanation:

from the pro tips given w ( weight of the SS Delphine + trailer + Redeye) = 3922000 + 150000 + 4451 Lbs Crr = 4076451 ibf

coefficient of rolling resistance = 0.015

Combined CDA = 1555 ft ^2

to get Ф = tan ⁻¹ ( 0.07 ) = 4.0041 degrees

To get F (w)  you will multiply it with sin Ф

= F ( w ) = 4076451 ibf * sin( 4.0041 ) = 284655.02 Ibf

to calculate F ( rr ) you will multiply it with cos Ф

F( rr) = 4076451 ibf * 0.015 * cos ( 4.0041 ) = 60997.50 ibf

the total sum of F ( force ) will be

F ( rr ) + F ( w)

= 60997.50 + 284655.02 = 352085.82 Ibf

therefore P ( power ) will be

p = 352085.82 ibf * 59 ft/s = 20773063.27 ft*ibf/s

to calculate how much horsepower the challenger will need to tow the SS Delphine will be calculated as below

HP = (20773063.27 ft*ibf/s ) * ( 1 hp / 550 ft*ibf/s ) = 37769.21 = 37769 hp  

How can ΔABC be mapped to ΔXYZ?

Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triangle A B C is slightly higher and to the left of triangle X Y Z. Triangle A B C is rotated to form triangle X Y Z.

First, translate ____________________. Next, rotate ΔABC about B to align the sides and angles.

vertex B to vertex Z
vertex B to vertex Y
vertex A to vertex Z
vertex A to vertex Y

Answers

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

AB = XY = 25 cm;AC = XZ = 29 cm;∠A = ∠X = 36°.

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

vertex A coincides with vertex X;vertex B coincides with vertex Y;vertex C coincides with vertex Z.

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

What is the perimeter of a rectangle with a length of 9 - 2y and width of 7?

Answers

Answer:

The perimeter of the rectangle is 32 - 4y

Step-by-step explanation:

To find the perimeter, we will simply follow the steps below;

First write down the formula for finding the perimeter of a rectangle

The formula for finding perimeter in a rectangle is;

perimeter = 2l +2w

where l= length  of the rectangle  and   w is equal to width of the rectangle

From the question given, length =9 - 2y      and width =7

We can now proceed to insert the values into the formula;

perimeter = 2l +2w

                 =2(9-2y) + 2(7)

Then we will now simplify

perimeter  =2(9-2y) + 2(7)

                 =18 - 4y + 14

                = 18 + 14 - 4y

                 =32 - 4y

Therefore, the perimeter of the rectangle is 32 - 4y

The perimeter of the rectangle is 32-4y.

Step-by-step explanation:

Given information:

The length of the rectangle = 9-2y

The width of the rectangle = 7

Now

The perimeter (P) of the rectangle is :

[tex]P = 2( \text{Length} + \text{width})[/tex]

[tex]P= 2(9-2y+7)\\P=18-4y+14\\P=32-4y[/tex]

Hence, the perimeter of the rectangle is 32-4y.

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What triangle congruence postulate would prove that the two triangles are congruent?

Answers

Answer:

SAS

Step-by-step explanation:

The slope of line éb is zac
What is the equation of D. simplified?
B(2a, 2b)
y-yı = m(x - xı)
y-0=(220)(x-c)
y=[0]x-(22b)
y=(220 fer-(2 bezed
y=(22]x- (226)
O y=(,20 ]- (250)
Ela, b)
A(0, 0)
Dac, 0)
C(2c, 0)

Answers

Answer:

[tex]y = \frac{2b}{2a - c} x - \frac{2bc}{2a - c}[/tex]

Step-by-step explanation:

The straight line BD passes through points B(2a,2b) and D(c,0).

Therefore, the equation of the straight line BD will be given by  

[tex]\frac{y - 2b}{2b - 0} = \frac{x - 2a}{2a - c}[/tex]

⇒ [tex]y - 2b = \frac{2b}{2a - c}x - \frac{4ab}{2a - c}[/tex]

⇒ [tex]y = \frac{2b}{2a - c} x - \frac{4ab}{2a - c} + 2b[/tex]

⇒ [tex]y = \frac{2b}{2a - c} x + \frac{-4ab + 4ab - 2bc}{2a - c}[/tex]

⇒ [tex]y = \frac{2b}{2a - c} x - \frac{2bc}{2a - c}[/tex]

Therefore, third option is correct. (Answer)

We know that the equation of a straight line passing through the points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) is given by  

[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex]

the area of a circular plot is 9856 metre square.calculate the cost of fencingthe plot at Rs.32.50 per metre.​

Answers

Answer:

Rs 11440

Step-by-step explanation:

       Area of a circular plot is [tex]9856\text{ }m^{2}[/tex].

The area of a circle with radius [tex]r[/tex] is given by [tex]\pi r^{2}[/tex]

       [tex]\pi r^{2}=9856\\r^{2}=9856\times\frac{7}{22}=3136\\r=56\text{ }m[/tex]

So, the radius of the circular plot is [tex]56\text{ }m[/tex].

       Cost of fencing the plot is [tex]32.50\frac{Rs}{m}[/tex].

   Total circumference of the circular plot is given by [tex]2\pi r[/tex]

Circumference = [tex]2\times\frac{22}{7}\times56=352\text{ }m[/tex]

Cost of fencing = [tex]352\text{ }m\times 32.50\frac{Rs}{m}=11440\text{ }Rs[/tex]

∴ Cost of fencing = Rs 11440

What is the value of x in the equation 3x - 1 y = 18, when y = 27?
o 5
ООО

Answers

Answer: x = 15

3x - 1(27) = 18
3x - 27 = 18
+27
3x = 45
3x/3 = 45/3
x = 15

Answer:

X would equal 15

Step-by-step explanation:

-1 × 27 = -27

-27 + 27 =0

18 + 27 = 45

3x ÷ 3 = x

45 ÷ 3 = 15

x = 15

what is the answer to 5.48 * 15.12​

Answers

Answer:

82.8576

Step-by-step explanation:

82.8576 or if it needs to be a decimal 51786/625

Select the correct answer from the drop-down menu.
If A and B are independent events, P(A and B) =

Answers

P(a)

Explanation I just did it :)

For independent events A and B, the probability of both occurring P(A and B) is the product of their individual probabilities: C. P(A) * P(B).

What are independent events?

Independent events are events in probability theory where the occurrence of one event does not affect the occurrence or likelihood of the other.

Let's use the definition of independent events to derive the formula for the probability of the intersection of two independent events.

If events A and B are independent, then the definition of independence is given by:

P(A and B) = P(A) * P(B)

This means that the probability of both events A and B occurring is the product of the individual probabilities of A and B.

So, if A and B are independent events, P(A and B) = P(A) * P(B). Therefore, the correct answer is C. P(A) * P(B).

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PLEASE HELP ASAP!!!

What is the approximate area of sector TSV?
Round the answer to the nearest tenth.

A. 3.1 m^2

B. 2.3 m^2

C. 1.1 m^2

D. 0.5 m^2

Answers

Answer:

C)  The area of the sector TSV  = 1.1 sq m.

Step-by-step explanation:

Here, the angle subtended by TSV at  the center of the circle  = 3 radians.

1 Radians = 57.2958°

So, 3 radians   = 3 x 57.2958 = 171.887 °

The angle of the sector TSV = 171.887 °

Now, the angle of any sector of a circle with angle Ф at the center  

=  [tex]\frac{\theta}{360}  \times \pi \times (r^2)[/tex]

Here, r  = 0.87 m

So, the area of the sector TSV  =  [tex]\frac{171.887}{360}  \times \frac{22}{7} \times (0.87)^2 = 1.1358[/tex]

or, the area of the sector TSV  = 1.13 sq m.

Now, rounding off the area to the nearest tenth ,we get:

The area of the sector TSV  = 1.1 sq m.

Bella plans to put $300 into a savings account. She can place her money into an account represented by p(x) = 3x+300, or into another account represented by
n(x) =300(1.04)^x. Which account has the highest value in 5 years? Which account has the highest in 12 years? Show your work!​

Answers

Answer:

3(5) + 300 = 15 + 300 = 315

300(1.04)^5 = 300 * 1.21665 = 365

In 5 years, the second account is higher.

3(12) + 300 = 336

300(1.04)^12 = 300 * 1.601 = 480

In 12 years, the second account is higher

Which situation has a unit rate of $7?
A
Trevor spent $49 on 2 theater tickets.

B
Sally bought a pack of 5 t-shirts for $35.

C
Brandon bought 7 gallons of gas for $14.

D
Gina bought nail polish for $5 and a pack of gum for $2.

Answers

The right answer is Option B.

Step-by-step explanation:

A unit rate describes how many units of one type of quantity corresponds to one unit of other type of quantity.

A. Trevor spent $49 on 2 theater tickets.

2 theater tickets = $49

1 theater ticket = [tex]\frac{49}{2} = \$24.5[/tex]

B. Sally bought a pack of 5 shirts for $35.

5 shirts = $35

1 shirt = [tex]\frac{35}{5} = \$7\\[/tex]

C. Brandon bought 7 gallons of gas for $14.

7 gallons = $14

1 gallon = [tex]\frac{14}{7}=\$2[/tex]

D . Gina bought nail polish for $5 and a pack of gum for $2.

1 nail polish = $5

1 pack of gum =$2

The pack of 5 shirts for $35 has a unit rate of $7.

The right answer is Option B.

Keywords: unit rate, division

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12 is at most a number decreased by seven

Answers

Answer:

12 ≤ x - 7

Step-by-step explanation:

let "x" represent the number

The term decreased means subtraction.

The problem indicates that 12 cannot be greater than a number decreased by 7. Use ≤ which means less than or equal to.

≤ less than or equal to 12 means that 12 is the maximum value.

Mitchell owns 6 pairs of hockey skates. What equation could Gabe write to find the total number of hockey skates Mitchell has?​

Answers

Answer: 6x2=y

Step-by-step explanation:

If Mitchell owns 6 pairs of hockey skates, then The equation for the number of hockey stakes can be written as, X - 12 = 0

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Mitchell owns 6 pairs of hockey skates,

The equation for number of hockey stakes  = ?

Suppose, the number of hockey stakes = X

According to given condition,

there are 6 pairs,

It is known that,

1 pair = 2 hockey stakes

So,

The equation is,

X = 2 x Number of pairs,

X = 2 x 6

X = 12

Hence, the equation is X - 12 = 0

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