a rectangle is 1/3 yards long and 2/3 yards wide.

what is the area of the rectangle?

enter your answer in the box as a fraction in simplest form

[tex] \frac{?}{?} \: {yd}^{2} [/tex]

Answer:

Yes the Answer is

"D"  $2,073.60

Step-by-step explanation:

Correct on edg. 2021

Answer:

Solutions are (x, y) = (-6, 312) and (6, 312).

Step-by-step explanation:

Mia used [tex]3\frac{19}{36}[/tex] lb of flour to bake the chocolate cake.

Given:

Total flour [tex]10\frac{1}{9}[/tex] lbs

She used:

[tex]2\frac{3}{4}[/tex] for banana cake

x lbs for chocolate cake

Flour left [tex]3\frac{5}{6}[/tex] lbs

How much flour did she use to bake the chocolate cake?

so the flour that Mia use for banana cake is total flour subtract the flour that she used plus the left over.

x =Total flour - flour for banana cake - left over

[tex]\boxed {= 10\frac{1}{9} - 2\frac{3}{4} - 3\frac{5}{6} } \\[/tex]

I am going to put this into improper fraction

[tex]\boxed { = \frac{91}{9} - \frac{11}{4} - \frac{23}{6} }[/tex]

because the denominator is different, we are going to find the common denominator for 9, 4 and 6 which is 36

[tex]\boxed {= \frac{364-99-138}{36} }\\ \boxed {= \frac{127}{36} }\\\boxed {= 3\frac{19}{36} }[/tex]

So the flour that she use to bake the chocolate cake is [tex]3\frac{19}{36}[/tex] lbs

Part to whole relationship https://brainly.com/question/11677654

Math word problem brainly.com/question/997374

Mixed fraction brainly.com/question/745462

Keyword: mixed fraction, subtraction, improper fraction, part to whole relationship

Answer:

C ✔️

Step-by-step explanation:

"16 inches"

Answer:

[tex]66\frac{2}{3}[/tex] centimeters.

Step-by-step explanation:

Jen has 2 meters of taffy.

She wants to give each of her 3 best friends an equal amount of taffy.

First we convert 2 meters to centimeters.

1 meter = 100 centimeters

2 meters = 100 × 2 = 200 centimeters.

Now divide 200 cm to 3 friends

Each friend get = [tex]\frac{200}{3}[/tex]

                          =  [tex]66\frac{2}{3}[/tex]

Each friend will get [tex]66\frac{2}{3}[/tex] centimeters of taffy.

Solution:

Annual income of Luis= $ 91,500

[tex]\frac{28}{36}[/tex] ratio states that maximum of 28 % of your gross monthly income should be spent on housing finances and not more than 36% of your total monthly income should be spent on loans.

36% of $ 91,500= 0.36 × 91,500=$ 32,940(Annualy)

Total money that luis can use for loan as a monthly payment =$ [tex]\frac{32940}{12}=2745[/tex] $

Amount that Luis spent on loan Monthly  =car payment of $370, a st udent loan payment of $165 and a credit card payment of $45= $ 370 + $ 165 + $ 45=$ 580

Amount that can be used for housing debt = $ 2745 - $ 580= $2165

Down Payment =

20 % of $315,000=0.20 × 315,000 =$ 63,000

Remaining amount for home that Luis has to pay = $ 315,000 - $ 63,000=  $252,000 (not given in how many months or years Luis has to pay this amount )

Mortgage payment = $ 2100

Calculated Mortgage payment on $ 91,500 using 28% rule = 0.28 × 91,500=$25620 (Yearly)

Amount that Luis can use for Mortgage payment monthly=$ [tex]\frac{25620}{12}=2135[/tex] $(Calculated) Monthly

So, Money saved = 2135-2100=$ 35

If Monthly income allowable for Debt(i.e if $ 252,000 is divided into months) > or exceeds $ 2165, then Luis is not eligible for Loan.

If Monthly income allowable for Debt (i.e if $ 252,000 is divided into months )< or Less than $ 2165, then Luis is eligible for Loan.

The advise that i will give to Luis is that he should make full payment of his  car debt, and stop being Extravagant i.e start saving more money if he wants to Possess a home.

Answer:

19038

Step-by-step explanation:

Given : A culture started with 6000 bacteria after 3 hours to grew to 7200 bacteria

To Find: Predict how many bacteria will be present after 19 hours

Solution:

General Form of exponential function: [tex]y=ab^x[/tex]

where y is the amount after x hours

x is the time

a is the initial amount

b is the growth factor

Bacteria initial amount= a = 6000

Time = x = 3 hours

Amount of bacteria after 3 hours = 7200

Substitute the values in the general form

[tex]7200=6000(b)^3[/tex]

[tex]\frac{7200}{6000}=(b)^3[/tex]

[tex]\sqrt[3]{\frac{7200}{6000}}=b[/tex]

[tex]1.06265856918=b[/tex]

Now we are supposed to find how many bacteria will be present after 19 hours

So, Bacteria initial amount= a = 6000

Time = x = 19 hours

Amount of bacteria after 19 hours = y

Substitute the values in the formula:

[tex]y=6000(1.06265856918)^{19}[/tex]

[tex]y=19038.488[/tex]

Hence there will be approximately 19038 bacteria present after 19 hours

People will need to go through more than one obstacle at locations 1, 2, and 3 on the course.

let's break it down:

Tires: Appear every sixth of the course.

Cones: Appear every third of the course.

Hurdles: Appear every half of the course.

To find where people need to go through more than one obstacle, we need to find the common multiples of these fractions.

Tires (1/6 of the course):

Locations of tires: 1/6, 2/6, 3/6, 4/6, 5/6, 6/6 (which is the end)

Locations: 1, 2, 3, 4, 5, 6

Cones (1/3 of the course):

Locations of cones: 1/3, 2/3, 3/3 (which is the end)

Locations: 1, 2, 3

Hurdles (1/2 of the course):

Locations of hurdles: 1/2, 2/2 (which is the end)

Locations: 1, 2

Now, let's find where there are overlaps:

Location 1: There's a tire, a cone, and a hurdle.

Location 2: There's a tire and a cone.

Location 3: There's a tire and a cone.

Location 4: There's a tire.

Location 5: There's a tire.

Location 6: There's a tire.

So, people need to go through more than one obstacle at locations 1, 2, and 3.

Final answer:

To find the mass of each box in this scenario, calculate the total mass of the cans first, then divide by the number of boxes. Each box weighs 10 grams.

Explanation:

A picture shows that 3 cans have the same mass as 9 identical boxes. Each can has a mass of 30 grams. What is the mass, in grams, of each box.

To find the mass of each box, we first calculate the total mass of the 3 cans: 3 cans * 30 grams/can = 90 grams. Since the 3 cans have the same mass as 9 identical boxes, each box's mass is: 90 grams / 9 boxes = 10 grams per box.

The height of the cylinder is 14 centimetres.

To find the height of the cylinder, we use the formula for the volume of a cylinder, which is given by [tex]\( V = \pi r^2 h \),[/tex] where V is the volume, r is the radius, and h is the height.

Given that the volume V is [tex]224\pi[/tex] cubic centimetres and the radius r is 4 centimetres, we can substitute these values into the formula to solve for the height h:

[tex]\[ 224\pi = \pi (4)^2 h \][/tex]

Simplifying the equation by dividing both sides  [tex]\( \pi \) and \( (4)^2 \),[/tex]we get:

[tex]\[ \frac{224\pi}{\pi \cdot 16} = h \][/tex]

[tex]\[ \frac{224}{16} = h \][/tex]

[tex]\[ 14 = h \][/tex]

Therefore, the height h of the cylinder is 14 centimetres.

△FSB∼△ZDR

What is the value of x?

Enter your answer in the box.

____UNITS

Answer:

A quart of ice cream costs $0.775

Step-by-step explanation:

This problem can be solved by a rule of three problem.

Rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are:

- The number of gallons of ice cream

- The cost

As the number of gallons increases, so will the cost that Cheryl paid. So, the relationship between the measures is direct and we have the following rule of three.

12 gallons - $37.20

1 gallon - $x

12x = 37.20

[tex]x = \frac{37.20}{12}[/tex]

x = $3.1

Each gallon cost $3.1. Each gallon also has 4 quarts, so the cost of 4 quarts is $3.1.  To find the cost of a quart of ice cream

4 quarts - $3.1

1 quart - $x

4x = 3.1

[tex]x = \frac{3.1}{4}[/tex]

x = $0.775

A quart of ice cream costs $0.775

To solve −3.64⋅|−5.3|−1.53, calculate the absolute value of −5.3, which is 5.3, then multiply by −3.64 to get −19.292, and finally, subtract 1.53 to result in −20.822.

You have presented a mathematical expression involving absolute value and multiplication: −3.64⋅|−5.3|−1.53. Let's solve this step by step:

Now performing the operations:

Therefore, the result of the given expression −3.64⋅|−5.3|−1.53 is −20.822.

Answer:

add the parallel sides and divide by 2

then multiply it by the perpendicular side so  

Step-by-step explanation:

A=side one+side two x2

                2