Subtract. Write your answer in simplest form. 5 1/2 - 1 2/7

Answers

Answer 1

[tex]5 \dfrac{1}{2} - 1 \dfrac{2}{7} = 5 \dfrac{7}{14} - 1 \dfrac{4}{14} = 4 \dfrac{3}{14} [/tex]

Related Questions

This image shows a square pyramid. What is the surface area of this square pyramid? 36 ft² 72 ft² 78 ft² 84 ft² Note: Image not drawn to scale. The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge. The length of the base edge is 6 feet. The lateral edge makes a 45 degree angle with the base edge.

Answers

the picture in the attached figure

we know that
In a square pyramid we have five faces, 4 triangles and 1 square. So to determine surface area we need to take the areas of the triangles and square and add them all up

The square's area is relatively simple:

A=b²
A=6²=36 ft²

But now let's observe the triangles, a triangle's area is:

A=(1/2)*b*h

the base is equal to 6 ft

b=6 ft

AC=BC----------> because the angle is 45°

AC=6 ft/2----> 3 ft

BC=3 ft

A=(1/2)*6*3----> 9 ft²

Multiply the triangle's area by four to account for all four triangular faces and add the squares area for your answer

Surface area=36 +4*9-----> 72 ft²

the answer is

72 ft²

Answer:

Step-by-step explanation:

just took quiz

There are 10 red and blue marbles, among which r are red. How many are blue? Denote blue marbles as b

Answers

Answer:

equation=r+b=10

answer=10-r

Its common sense y'all! IF you don't have enough information,just make up a equation! And use the variables as your numbers!

There are 10 - r blue marbles

How to determine the number of blue marbles?

The distribution of the marbles are given as:

Red = r

Blue = b

Total = 10

This means that:

b + r = 10

Solve for b

b = 10 - r

Hence, there are 10 - r blue marbles

Answers

They finished @ 10:47 hope this helped

Anybody know the answer to this question?

Answers

I'm pretty sure it is 17.5

Write an equation of the direct variation that includes the point (6, –2). y = –3x

Answers

Answer:

-1/3x is the answer

Step-by-step explanation:

Do the problem.

An equation of the direct variation that includes the point (6, –2) is y = -1/3(x).

What is a direct variation?

In Mathematics, a direct variation is also referred to as direct proportion and it can be modeled by using the following mathematical expression or function:

y = kx

Where:

y represents the y-variable or dependent variable.x represents the x-variable or independent variable.k represents the constant of proportionality.

Under direct variation, the value of x represent an independent variable while the value of y represents the dependent variable. Therefore, the constant of proportionality (variation) can be calculated as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = -2/6

Constant of proportionality (k) = -1/3

Therefore, the required equation is given by;

y = kx

y = -1/3(x)

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Someone please help me?

Answers

(AE + ED) *AE = (CB+ AB) *AB

(4 + ED) * 4 = (4+5) *5

(4 + ED) * 4 = 45

4ED +16 = 45

4ED = 29
ED = 29/4 = 7.25

AD = AE + ED

AD = 4 + 7.25

AD = 11.25

Answer is A

a ice cream shop offers 5 different flavors of ice cream and 12 different toppings how many choices are possible for a single serving of ice cream with one topping

a. 18
b. 22
c. 46
d. 60
PLZ HELP

Answers

60 because 5 times 12 equals 60

Answer:

D)60

Step-by-step explanation:

All you do is multiply 5 by 12.

5x12=60

what is the 14 letter word with the definition of an example showing a statement is not true. it is c--n-e-t--m-l-

Answers

The word is counterexample.
Your second t is incorrect.
It should be an e.

What is the interquartile range of this data? A.6 B.7 C.8 D.9

Answers

Hello!

To find the interquartile range, subtract the value of the upper quartile from the value of the lower quartile.

33 - 25 = 8

The interquartile range is 8. Hope I helped! :3

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?

Answers

are there any answer choices

The discriminant is
-7^2- 4(3)(4)
49-48
=1
It is greater than 0 and has 2 unequal real solutions

Aaron is rolling the fair number cubes. What is the probability both cubes show a 5

Answers

The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

Brainly please

Why does it take more centimeters than inches to measure the same distance?

Answers

Because 1 centimeter is smaller than 1 inch, so more centimeters than inches can fit in a given distance.

Rent-a-car rents compact cars for a fixed amount per day plus a fixed amount for each mile driven Benito rented a car for 6 days drove it 550 miles and spent $337. Lisa rented the same car for 3 days drove it 350 miles and spent $185. What is the charge per day and charge per mile for the compact car?

Please show all work! TYSM! ☺♥♫

Answers

If charge per day =x
and charge per mile =y

6x + 550y = 337
3x + 350y = 185

multiple the second equation by 2
6x+700y=370
subtract the first equation from this equation
150y=33
y=0.22

Now we plug the y back in to one of the initial equations to get the value of x

3x+350(0.22)=185
x=36

Charge per day is $36 and charge per mile is $0.22

The charge per day and charge per mile for the compact car is $36 and $0.22 respectively

let

x = charge per day

y = charge per mile

6x + 550y = 337 (1)

3x + 350y = 185 (2)

multiply (2) by 2

6x + 700y = 370 (3)

6x + 550y = 337 (1)

subtract (1) from (3)

700y - 550y = 370 - 337

150y = 33

y = 33/150

y = 0.22

substitute y = 0.22 into (2)

3x + 350y = 185

3x + 350(0.22) = 185

3x + 77 = 185

3x = 185 - 77

3x = 108

x = 108/3

x = 36

Therefore, charge per day and charge per mile for the compact car is $36 and $0.22 respectively

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$8000 at 3% annually for 4 years

Answers

Here's the equation for one year:
0.03(8000) + 8000
For four years:
4(0.03(8000)) + 8000
0.12(8000) + 8000
To make it simpler/smaller:
1.12(8000) = 8960
You can make 960 more dollars, and you now have $8960

The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 130 feet per second. Which equation correctly models the ball's height as a function of time?

Answers

For this case we must use the projectile equation for this problem.
We have then:
h (t) = - 16t ^ 2 + Vt + h
Where,
V: initial speed
h: height
For the tennis ball we have:
h (t) = - 16t ^ 2 + 130t + 2
Answer:
An equation that correctly models the ball's height as a function of time is:
h (t) = - 16t ^ 2 + 130t + 2

The maximum height at the moment is 266.0625 ft.

Projectile's height

The equation for a projectile's height versus time is

[tex]&h(t)=-16 t^{2}+V t+h \\[/tex]

h = 2

V = 130

Substitute these values into the function

[tex]$h(t)=-16 t^{2}+130 t+2$[/tex]

Take the first derivative

[tex]$h^{\prime}(t)=-16* 2 t+130[/tex]

[tex]=-32 t+130$[/tex]

Equate the derivative with zero [tex]$h^{\prime}(t)=0$[/tex].

Solve the equation -32 t + 130=0

32 t = -130

t = -130 /(-32)

= 4.0625(s) .

Find the maximum height at the moment

t = 4.0625 (s)

h(4.0625) [tex]= -16(4.0625)^{2}+130 * 4.0625+2[/tex]

= - 264.0625+528.125+2

= 266.0625 ft.

Therefore, the maximum height at the moment is 266.0625 ft.

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15 min left! Anyone know this geometry question?

Answers

Option B is your answer. Those two angles are alternate interior angles.

A test was marked out of 80. A boy scored 60% of the marks on the test. How many marks did he score?

Answers

He score 48 marks.

This can be found by simply multiplying 80 by 60% (0.6). This will give you your rinal answer of 48.

I hope this helps!

Which correlation coefficient obtained from modeling advertising and sales data of tutti frutti ice cream expresses the strongest correlation of the data?
a.r = .10
b.r = .50
c.r = .75
d.r = .90

Answers

Just had this problem the answer is D.

Answer:

d) r=0.90

Step-by-step explanation:

When the r value is closer to +1 or -1, it indicates that there is a stronger linear relationship between the two variables. A correlation nearerto -1 is a strong negative correlation while a correlation of 0.10 would be a weak positive correlation.

Correlation coefficient measures the strength of association between two variables.

It may be positive or negative.

If nearer to 1 or - there is strong correlation

Since here is it 0.90 positive and nearer to 1 out of all 4 options

option d is correct

what is the slant height of the cone

Answers

The formula is [tex]A= \pi rl[/tex]. You have the values for area and radius, so plug them in and divide to solve for l. [tex] \frac{13.8 \pi }{2.3 \pi } =l[/tex]. The pi's cancel each other out, so the division of the numbers gives you a slant height of 6

What is the equation of the quadratic graph with a focus of 4,0 and a directrix of y=10

Answers

To solve this problem youu must apply the procedure shown below:

1. Let's call (x0, y0) to any point of the parabola.

2. Then, you have:

√(x0-a)^2+(y0-b)^[2=|y0-10|

3. When you susbtitute values and simplify it, you obtain:

(√(x0-4)^2+(y0-0)^2)^2=(y0-10)^2
(x0-4)^2+y0^2=(y0-10)^2

4. Now, you must clear y, and you will have:

y=(-x^2/20)+(2x/5)+(21/5)

does the lateral area in a prism include the base?

Answers

No. The lateral area is the area of all faces except the bases.

A standard number cube is tossed. Find P (3 or odd)

A. 1/2
B. 2/3
C. 1/3
D. 1/6

Answers

Total number of possible outcomes = 6

Total number of outcomes with 3 or odd = 3
They are : 1, 3, 5

P(3 or odd) = 3/6 = 1/2

Answer: 1/2

E = event space = set of outcomes we want to happen
E = set of numbers that are either 3 or odd
E = {1, 3, 5}

S = sample space = set of all possible outcomes
S = set of all the values on the standard number cube (aka dice)
S = {1, 2, 3, 4, 5, 6}

There are 3 items in the event space out of 6 total in the sample space
Using math notation, we can say n(E) = 3 and n(S) = 6. The small n means "number". So writing "n(E)" means "number of items in the event space".

So,
P(3 or odd) = n(E)/n(S)
P(3 or odd) = 3/6
P(3 or odd) = 1/2

The probability as a fraction is 1/2, which is 0.5 in decimal form. This represents a chance of 50%. Note: since 3 is an odd number, saying "P(3 or odd)" is the same as just saying "P(odd)"

Answer: Choice A. 1/2

Food costs are expected to rise 6% each month for the next year. which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month? $150.00 + $159.00 + $168.00 $150.00 + $159.00 + $168.54 $159.00 + $168.00 + $177.00 $159.00 + $168.54 + $178.65

Answers

Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n

Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54

The second option is correct.

according to edjenuity, the answer was

D. $159.00 + $168.54 + $178.65

A party store sells large plates in packs of 12 and small plates in packs of 8 . In order to have an equal number of both , what is the least amount of large plants that would have to be purchased

Answers

In order to have the least amount of each, you would need to purchase 2 packages of large plates. Here is the reasoning:

You can buy the following number of large plates and small plates:

Small: 8, 16, 24, 32, ...
Large: 12, 24, 36, ...

The smallest number that can be bought so you have an equal amount is 24 of each.

To get 24 large plates, you would need 2 packages.

A and b are independent events. the probability that a will happen is 1/4 and the probability that b will happen is also 1/4. what is the probability they will both happen?

Answers

To find the probability of both things happening you just have to multiply them by each other.

1/4*1/4=1/16

Final answer:

For independent events A and B, the probability of both happening is the product of their individual probabilities. In this case, the probability of both A and B happening is 1/16.

Explanation:

In the field of probability in mathematics, when dealing with independent events like A and B in your question, the probability of both A and B happening (denoted as P(A AND B)) is calculated by multiplying the probability of A happening (P(A)) by the probability of B happening (P(B)) This is known as the multiplication rule for independent events.

So, if the probability that A will happen (P(A)) is 1/4, and the probability that B will happen (P(B)) is also 1/4, then the probability that both A and B will happen (P(A AND B)) is (1/4) * (1/4) = 1/16.

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You purchase a new desktop computer for $2,200. you put a 6% down payment and $100 per month on a 24 month purchase plan. determine the total finance

Answers

The total finance will be as follows:
Total=(downpayment)+(future payments)
Down payment=6/100*2200=$132
Total future payments=(monthly payments)*(number of months)
=24*100
=$2400
thus the total payment will be:
2400+132
=$2532

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.

When the large prism was reduced, the surface area changed by a factor of
A.64/125
B.16/25
C.4/5
D.10/8

Answers

Answer: B. [tex]\frac{16}{25}[/tex]

Step-by-step explanation:

We know that if a figure or solid shape is dilated to create a new shape then the new shape is similar to the original shape.

Also, the scale factor of dilation is the ratio of the sides of new shape to the corresponding sides of the original shape .

Let k be the scale factor of dilation, then

Given : Original shape - larger prism

New shape - smaller prism

Surface area of prism with all sides equal (a)=[tex]4a^2[/tex]

Surface area of original prism =[tex]4(10)^2=400[/tex]

Surface area of new prism =[tex]4(8)^2=256[/tex]

[tex]\Rightarrow k=\frac{256}{400}=\frac{16}{25}[/tex]

Hence, the scale factor = [tex]\frac{16}{25}[/tex]

A professional golfer gets a hole-in-one 0.003% of the time they try on a hole. If the golfer plays 32,000 holes over the course of their professional career, about how many hole-in-ones should they expect over their career?

Answers

It is 96 holes because.003 * 32000 is the number of holes that can be expected by the player.

96 holes I think is the correct answer

A sporting goods store sells 2 fishing reels and 5 fishing rods for $195. Later, they sell 4 fishing reels and 3 fishing rods for $131. Find the price of each item.

Answers

Let
Fishing reel = x
Fishing rods = y

Therefore,
2x + 5y = 195 ---- 1
4x + 3y = 131 ---- 2

Solving 1 and 2 above;
Multiply expression 1 by 2 and subtract 2 from the results;
4x + 10y = 390
4x + 3y = 131
-------------------
0x + 7y = 259 => y = 259/7 = 37

Using the value of y in expression 1;
2x + 5(37) = 195
2x + 185 = 195
2x = 10
x = 10/2 = 5

Therefore, the price of fishing reels is $5 and fishing rods is $37.

What is the value of x

Answers

Look at the picture.

x = 16.

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