(a) Tom says that 1/5 + 7/20 = 8/25
Explain why he is wrong and show how to work out the correct answer.
(b) Show that 3/4 divided by 1 7/8 = 2/5
9. (a) Jadar is buying fencing to fence one side of his garden. He measures the length as 23cm to the nearest metre.
What is the largest possible true length of the garden?
(b) One post measures 180 cm truncated to 2 significant figures (Truncated means that rather than rounding, any digits after 2 significant figures are simply ignored

Answers

Answer 1

numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

Answer 2

Step-by-step explanation:

a)1/5+ 7/20

1.find the CM of both denominators

2.multiply both the denominator and the numerator using the CM

=(1/5)×20 +(7/20)

=20/100 +35/100

since you multiply

3.Now add both numerators ( don't add the denominators)

=the answer is 55/100


Related Questions

which of the following is equivalent to 18-
[tex] \sqrt{ - 25} [/tex]
a 5i
b 18-5i
c 18+5i
d 23​

Answers

Answer:

[tex]18-\sqrt{-25}[/tex]

[tex]\sqrt{-25} =5i[/tex]

[tex]=18-5i[/tex]

OAmalOHopeO

The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.

[ x + y = 90 ; x = 14 + 3y ]

Answers

Answer:

fourteen times six equals eighty-four, eighty-four plus six equals 90

Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel’s savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin’s account, at the same time, is modeled by function k.
j(x) = 25 + 3x
k(x) = 15 + 2x

Which function correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year?

A.
(j − k)(x) = 40 + 5x
B.
(j − k)(x) = 40 + x
C.
(j − k)(x) = 10 + 5x
D.
(j − k)(x) = 10 + x

Answers

Given:

The amount of money in Joel’s account is:

[tex]j(x)=25+3x[/tex]

The amount of money in Kevin’s account is:

[tex]k(x)=15+2x[/tex]

To find:

The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.

Solution:

We need to find the difference between the function j(x) and function k(x).

[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]

[tex](j-k)(x)=25+3x-15-2x[/tex]

[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]

[tex](j-k)(x)=10+x[/tex]

Therefore, the correct option is D.

Help this is due in 10 mins

Answers

Answer:

Only A is true

for sure

....................

Gloria forgot to account for two walkways. Using the work from Plan A,
subtract the two walkways to find the new perimeter. The width of each
walkways is x + ½ .
Show work here (put in simplest form)

Answers

Step-by-step explanation:

w

Please help I don’t understand how to solve this !

Answers

Answer:

x = 30

Step-by-step explanation:

x + 2x + 3x = 180

             6x = 180

              6       6

               x =  30

find x, plzz helpp only have an hour to do this

Answers

Answer:

E. None of these

Step-by-step explanation:

Using the angle 43, we see that we will use Cos to find x.

This is because the sides are the adjacent and the hypotenuse

Cos (43) = 14/x

Multiply both sides by x

X (cos (43)) = 14

Then divide both sides by (cos(43))

x = 14 / cos(43)

Plug it into the calculator you get:

x = 25.22

Since this is not an answer choice, the answer is E. None of these

find the cost of four score of plate at 50k each and three dozens of spoon at 20k each​

Answers

The Answer is if you add 50k 4 times 3 dozen 20k

= 260K

What is the domain of the function y=sqrt x+6-7

Answers

Answer:

[tex]x \geqslant 1[/tex]

Step-by-step explanation:

[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]

What is the surface area of a sphere with a diameter of 14 cm?
Question 6 options:


175.84 cm^2


351.68 cm^2


615.44 cm^2


2461.76 cm^2

Show your work:

Answers

9514 1404 393

Answer:

  (c)  615.44 cm^2

Step-by-step explanation:

The surface area of a sphere is given by ...

  A = 4πr² . . . . where r is the radius, half the diameter

  A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²

What is the x-coordinate of the red point?
A. 3
B. 2
C. -2
D. -3

Answers

The answer is 2 on the x axis

solve
[tex]100 {5}^{2} - 500 {5}^{6} [/tex]
Please help before 9:00 pm​

Answers

1005 to the power of 2 is 1010025 sorry if i'm wrong, and 5005 to the power of 6 is 1.5718985e+22. so 1.5718985e+22-1010025=-1.5718985e+22. wow my answer is so random ofc it's not correct lollllll i'm sorry i'm horrible at math and i barely understood this equation so i am super super super sry :(

IF B=
3 4 8
4 2 1
find b12, b21, b22 and b23​

Answers

Answer:

since b is 348421 and we are looking for b21 it is 348421(12)

A library has 160 books. 3/8 are story books, 1/4 are poetry books and the remainder are books. What fraction is comic books?

Answers

Answer:

1/8

Step-by-step explanation:

1/4*2/2=4/8

4/8+3/8=7/8

1-7/8=1/8

A farmer needs to cross the river with his fox, his chicken and a bag of corn. However, the boat can only fit the farmer and one other thing at a time. The problem is, the fox and the chicken are both hungry, so if he leaves the fox and chicken together, the fox might eat the chicken. If he leaves the chicken and corn together, the chicken might eat the corn. So how can the farmer get everyone across the river safely

Answers

first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!

guys, please help its graph-related. please i will dieeee

Answers

(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.

(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.

A is the point (-4, 2), and B is the point (2, -4). So the length of AB is

√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72

A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is

√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72

Then the dilation factor is

(2√72) / √72 = 2

As for dying, don't worry about it. It happens to everyone.

write a inequality phrase: you have to be at least 21 years of age

Answers

Answer:

[tex]a\geq 21[/tex]

Step-by-step explanation:

"At least" is inclusive, so you can be 21 years old.

Answer:

a≥ 21

Step-by-step explanation:

Let a = age

At least means greater than or equal to

a≥ 21

Algebra 1 proportional relationships

Answers

Answer:

It always pass through the origin.(0,0)

Porfa es para un examen xD

Answers

Answer: -13

Step-by-step explanation:

M(3) → x = 3M(2) → x = 2

[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]

I think this is the answer for your problem

what is the quotient in simpilst form? 4 1/2 ÷ 1 1/4​

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]

In fraction division, Use KCF method

K - Keep the first fraction

C - Change the ÷ operation to  * operation

F - Flip the second fraction

  [tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

PLS HELP 10 POINTS!!!

Identify the term whose coefficient is -12 in the expression:
98x – 12xy2 - 15xy2

Answers

Answer:

[tex] - 12xy {}^{2} [/tex]

Step-by-step explanation:

A coefficient is a rational number in front of multiple consecutive terms.

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

? =30

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin ? = 25/50

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 ( 1/2)

? =30

Urgent i need help!!…….

Answers

Answer:

Step-by-step explanation:

These are similar triangles. We know that because we know that all right triangles are similar. The height of the red one is 8 and the height of the blue one is 4; that means that the red one is twice the size of the blue one; likewise, the blue one is half the size of the red one. That means that ALL the measurements of these triangles exist in that ratio...even the base of the blue one. If the base of the red one is 3, and the red one is twice the size of the blue one, then the base of the blue one is 3/2 or 1.5. I can't see your choices because they are too small.

it should be 1.5……………. if it’s wrong sorry

A polynomial p is graphed. What could be the equation of p? Choose 1 answer:
A. p(x) = x( x + 2)(2x + 7)
B. p(x) = x(x - 2)(2x - 7)
C. p(x) = x(2x) (7/2x)
D. p(x) = x(-2x)(- 7/2x)

Answers

Answer:

[tex]\text{B. }p(x)=x(x-2)(2x-7)[/tex]

Step-by-step explanation:

The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at [tex]x=0[/tex], [tex]x=2[/tex], and [tex]x=3.5[/tex]. These values of [tex]x[/tex] should produce an output of 0 when plugged into the function.

Therefore, the equation of the function graphed is [tex]\boxed{\text{B. }p(x)=x(x-2)(2x-7)}[/tex]

If 4 over 7 ton of concrete covers 7 over 8 of a bridge, how many tons of concrete are required to cover the entire bridge?

Answers

Answer:

Your answer would be 32/49.

Step-by-step explanation:

4/7 tons = 7/8 x

4/7 / 7/8

32/49

The tons of concrete are required to cover the entire bridge is 32/49 tons.

What are fractions?

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.

How many tons is needed to cover the whole bridge?

To determine this value, divide 4/7 by 7/8

4/7 ÷ 7/8

4/7 x 8/7 = 32/49 tons

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7​

Answers

Given:

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

To verify:

[tex]a(b-c)=ab-ac[/tex] for the given values.

Solution:

We have,

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

We need to verify [tex]a(b-c)=ab-ac[/tex].

Taking left hand side, we get

[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]

[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]

Taking LCM, we get

[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]

Taking right hand side, we get

[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]

[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]

[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]

Taking LCM, we get

[tex]ab-ac=\dfrac{-28-40}{35}[/tex]

[tex]ab-ac=\dfrac{-68}{35}[/tex]

Now,

[tex]LHS=RHS[/tex]

Hence proved.

PLEASE HELP WILL GIVE BRAINSLIST

Answers

Answer: 3. 55° 2. 225° 1. 125°

Step-by-step explanation: don't want brainliest

What is the value of x in the triangle below?

A. 18

B. 15

C. 6

D. 45

Answers

Answer:

it is b I already took it I just checked again

Im not exactly understanding this question. Can someone please help me and possibly explain this to me?

Answers

Answer:

From the graph, when x=-6, y=1

so, your answer is A) f(x)=∛(x-6)+1

OAmalOHopeO

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4,8)
(0,0)
. 10
10

Answers

The answer is y= -2x.

The equation of the line passing through points (0, 0) and (-4, 8) is y = -2x

What is an equation of line?

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given is a graph of a line passing through points (0, 0) and (-4, 8), we need to find the equation of the line,

We know that, the equation of a line passing through two points is given by,

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (-4, 8)

So, the equation of the line =

y-0 = 8/(-4) (x-0)

y = -2x

Hence, the equation of the line passing through points (0, 0) and (-4, 8) is y = -2x

Learn more about equation of line, click;

https://brainly.com/question/21511618

#SPJ7

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