What is the area of the parallelogram?

1 over 32 square foot
5 over 16 square foot
9 over 32 square foot
6 over 16 square foot

Answer:

[tex]\sf a. \quad \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]

Step-by-step explanation:

Formula for calculating speed:

[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]

Therefore:

[tex]\boxed{\sf Time=\dfrac{Distance}{Speed}}[/tex]

Given values:

If the boat is traveling downstream, the current (x mph) will be pushing the boat faster, and so the boat's speed will increase by x mph.

Therefore, the expression for the time it takes for the boat to travel downstream is:

[tex]\sf Time\:(downstream)=\dfrac{21}{10+x}[/tex]

If the boat is traveling upstream, the current (x mph) will be pushing against the boat and so the boat's speed will decrease by x mph.

Therefore, the expression for the time it takes for the boat to travel upstream is:

[tex]\sf Time\:(upstream)=\dfrac{21}{10-x}[/tex]

Therefore, if the total time it takes to travel downstream and upstream is 5 hours:

[tex]\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]

To solve for x:

[tex]\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5[/tex]

[tex]\implies \sf \dfrac{21(10-x)}{(10+x)(10-x)}+\dfrac{21(10+x)}{(10-x)(10+x)}=5[/tex]

[tex]\implies \sf \dfrac{21(10-x)+21(10+x)}{(10+x)(10-x)}=5[/tex]

[tex]\implies \sf21(10-x)+21(10+x)=5(10+x)(10-x)[/tex]

[tex]\implies \sf 210-21x+210+21x=5(100-10x+10x-x^2)[/tex]

[tex]\implies \sf 420=500-5x^2[/tex]

[tex]\implies \sf 5x^2=80[/tex]

[tex]\implies \sf x^2=16[/tex]

[tex]\implies \sf x=\pm4[/tex]

Therefore, the rate of the current is 4 mph.

Answer:  60 local calls- SEE THE SCREENSHOTS FOR A DETAILED STEP BY STEP RESPONSE :)

also daM, that's a lot of calls

Step-by-step explanation:

Answer: 60 local calls bcz you remove the other 2 charges then divide by .25

Step-by-step explanation:

Answer:

Step-by-step explanation:

2. y interecept --> y = 1

3. pi

4. 1, 0

Answer:

it's 1 the answer is

Step-by-step explanation:

how I got it I did 2 x2 is 4 and 1÷1 is 1 so if I do 1x1 it is 1

Answer:

each book was 2 dollars

Explanation:

boy earned $50 he saved 42 dollars and used the rest ($8) to buy textbooks and he bought 4 text books that means each textbook is 2 dollars how (8÷4=2) .

hope it helps and Is what ur looking for.

Answer:

first the triangle

t area=b x h ÷2

=(5ft x 10.5ft)÷2

=26.25ft sq unit

second the rectangle

r area=L × b

=9ft × 7.5ft

=67.5ft sq unit

last the triangle

t area= b×h÷2

=(9ft×4.5ft)÷2

=20.25ft sq unit

Answer:

110.25 ft^2

Step-by-step explanation:

We can find the area of the figure by adding up the areas of three different shapes.

1) The right triangle

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base in the right triable is 5 and the height is 9.

--> 5 x 9 x 1/2

--> 45/2

--> 22.5

2) The rectangle

The formula for finding the area of a rectangle is: Base x Height

The base is 7.5 and the height is 9.

--> 7.5 x 9

--> 67.5

3) The Isosceles Triangle (On the very right)

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base of the triangle is 9, and the height is 4.5.

--> 9 x 4.5 x 1/2

--> 40.5/2

--> 20.25

Now that we know the areas of separate shapes, all we need to do is add them up!

22.5 + 67.5 + 20.25

= 110.25.

The area of the figure is 110.25 ft^2

Answer:

d.  3x + 6 = 26

Step-by-step explanation:

Definitions

The sum of three consecutive even integers

Let x be the first even integer.

As there is a difference of 2 between consecutive even integers, the next even integer after x will be (x + 2).

Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive even integers is twenty-six" is:

x + (x + 2) + (x + 4) = 26

To solve

⇒ x + (x + 2) + (x + 4) = 26

⇒ x + x + 2 + x + 4 = 26

⇒ 3x + 6 = 26

(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).

Answer:

(8,1) (15,2) (22,3) (29,4) (36,5) (43,6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation y=7x+1 is written in slope intercept form. That would be:

y=mx+b

m is the slope

b is the y intercept, or where the line first is seen on the y axis.

Because b=1, the y intercept is 1.

Because m=7, the slope is 7.

STEP 1: GRAPH THE Y INTERCEPT.

Since b=1, the line crosses the y intercept when y=1. So graph y=1 on the coordinate plane.

STEP 2: GRAPH THE SLOPE

Do this by going up 7, then right 1. Because 7 is a positive number, you go up.

hope this helps !!! brainliest would be appreciated :D

Answer:

2

1

0

Not:

4

9

1921131

Step-by-step explanation:

x needs to be equal or less than 3. It doesn't say that x cannot be negative so any number 3 and below is fine.

Not solutions would be any number above 3 in value

The three solutions for the inequality are 1, 2, and 3.

And, the three numbers that are not solutions are 4, 5, and 6.

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

The inequality is,

x ≤ 3

Now from the given inequality x ≤ 3,

The solution of the inequality is a number that is less or equal to 3.

Hence the possible three solutions for the inequality are,

x = 1, 2, 3

And, the three numbers that are not solutions are,

4, 5, and 6.

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Answer:  not 100% but 35-20=x or 35-20=15

Step-by-step explanation:

Answer:

6/13

Step-by-step explanation:

There are 52 cards in a deck, and 26 of them are red. There are 2 red queens in a deck, so the probability of choosing a red card that is not a queen is 24/52 = 6/13.

Answer:

4.82[tex]*10^{-4}[/tex]

Step-by-step explanation:

0.000082 + 0.0004 = 0.000482 = 4.82[tex]*10^{-4}[/tex]

Answer: $80

Step-by-step explanation:

Step 1: Find how much each person got

48 pineapples shared amongst 3 people

48÷3= 16 pineapples each

Step 2: Find how much he earned

16 pineapples for $5 each

Total money made: 16x5= 80

$80 in all selling his share of the pineapples

hope this helps!!

The total amount of money the friend made from selling his pineapples is $80

Total pineapples = 48

Total friends = 3

Number of pineapples each friend takes = Total pineapples / Total friends

= 48/3

= 16 pineapples per friend

Cost of each pineapple = $5

Total amount the friend made from selling his pineapples = Cost of each pineapple × Number of pineapples each friend takes

= $5 × 16

=$80

Hence, the friend made $80 from selling his pineapples.

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Answer:

34 (looking at the image im kinda unsure of my answer cuz 4*34=136 and that doesn't look like 136)

Step-by-step explanation:

angle TSU = angle PSR = 4x

from that we know that PSQ=x

so then we know PQS=180-2x

180-2x+68=180

2x=68

x=34

Using exponential functions, the ending balances are given as follows:

1. $1,490.07.

2. $1,073.83.

3. $358.04.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

Item a:

The parameters are:

A(0) = 939, r = 0.08, t = 6.

Hence the balance is:

[tex]A(6) = 939(1.08)^6 = 1490.07[/tex]

Item b:

The parameters are:

A(0) = 823, r = 0.03, t = 9.

Hence the balance is:

[tex]A(9) = 823(1.03)^9 = 1073.83[/tex]

Item c:

The parameters are:

A(0) = 269, r = 0.1, t = 3.

Hence the balance is:

[tex]A(9) = 269(1.1)^3 = 358.04[/tex]

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Answer:

Step-by-step explanation:

I would expect her to find out how long each classmate spends playing video games. Then, I'd expect her to use this information and put it into a bar chart so that she can compare the numbers and find the biggest one, or who spends the most time playing video games.

Here's a random example:

Let's say she has 4 classmates, Zoe, Robert, John, and Taylor.

Zoe: 2 hours on video games

Robert: 6 hours on video games

John: 1 hour on video games

Taylor: 4 hours on video games

Then, i'd put this information into a bar chart. The screenshot is a random reference of what a bar chart looks like.

Answer: just find how much time each one spent ,  put it on a chart and yh

Step-by-step explanation:

Answer:

Option C; 26cm by 14 cm

Step-by-step explanation:

Answer: The total money invested in the field will be $1,623.80

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

so

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

Answer:

Step-by-step explanation:

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

so

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

Answer:

0

Step-by-step explanation:

There are 12 possible outcomes, but no outcome will result in a sum greater than 7. So the probability is 0/7 = 0.

1 1

1 2

1 3

2 1

2 2

2 3

3 1

3 2

3 3

4 1

4 2

4 3

Answer:

38 degrees

Step-by-step explanation:

Since angles KLO and OLM are supplementary, they add up to 180 degrees

So,  angle OLM is 180-134=46 degrees

Similarly, angles OMN and OML are supplementary, so they also add up to 180 degrees

So, angle OML is 180-84=96 degrees

You also know that the angles of a triangle sum up to 180 degrees

So, 46+96+x=180

180-142=38

x=38 degrees

Answer:

slope:

5 - 5 / 2 - (-1) = 0

Thus, the equation of the line is y = 5

Answer:

68°

Step-by-step explanation:

corresponding angles are the same

Answer:

11/6 or 1 5/6yards

Step-by-step explanation:

Area = Length x Width

2 3/4 = 1 1/2 w

11/4 = 3/2w  to change 2 3/4  into an improper fraction see this as 2 wholes plus 3/4.  Another name for 2 wholes is 8/4 then add the 3/4.  8/4 + 3/4 is 11/4.

Do the same for 1 1/2 which is 1 + 1/2 change 1 into 2/2 and add it to 1/2 which would be 3/2.

Now solve for x

(2/3) (11/4) = (3/2) (2/3) w  when I multiply 3/2 by its reciprocal of 2/3, I get the number 1 and 1 times w is just w.

22/12 =w.  I just multiplies the tops with the bottoms.  Now, divide the top and the bottom by 2 and you end up with 11/6.  If I divide 11 by 6, it will go into 11 one time with 5 left over.  The denominator remains 6.

Answer:

Step-by-step explanation:

The area A of a rectangle of length L and width W is A = L*W.  Solving this for W, we get A/L.

Substituting 2 3/4 yd^2 for A and 1 1/2 yd for L, we get:

W = (2 3/4 yd)^2 / (1 1/2 yd)

This is equivalent to (11/4 yd^2 divided by (6/4 yd), or 11/6 yd.

The width of this garden is 11/6 yard, or 1 5/6 yard.

===========================================

Work Shown:

C = circumference = 40 inches

d = diameter

[tex]C = \pi*d\\\\C \approx 3.14*d\\\\40 \approx 3.14*d\\\\\frac{40}{3.14} \approx d\\\\d \approx \frac{40}{3.14}\\\\d \approx 12.73885\\\\d \approx 13\\\\[/tex]

Be careful. Technically 12 inches is the largest diameter Tanya can use since 3.14*12 = 37.68 is under 40; while 3.14*13 = 40.82 is slightly over 40

So if I was the teacher, I would have said "round down to the nearest inch".

Answer:

Step-by-step explanation:

the original price would be $80.00

50.00*0.08 = 4 50.00-4 = 46.00

46.00 for 25 radios with 4 cash back

30.00*0.15= 4.5 30.00- 4.5 = 25.50

total is 71.50

The value of a and b from the coordinates are 3 and 5 respectively

The formula for finding the midpoint of two coordinates is expressed as;

M(x, y) = {x1+x2/2, y1+y1/2}

Given the following coordinates

M(a, 4)

A(1,3)

B(5,b)

Using the formula

a = 1+5/2

a = 6/2

a = 3

Similarly

4 = 3+b/2

8 = 3+b

b = 8-3

b = 5

Hence the value of a and b from the coordinates are 3 and 5 respectively

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Answer:

7.5

Step-by-step explanation:

You divide 17.9 by 2.38. That would give you 7.521008403361345.

Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.

Hope that helps!! Have an amazing day!!