How do you know when to add or subtract?

How Do You Know When To Add Or Subtract?

Answers

Answer 1

The lengths of XY and YZ add up to the length of XZ:

XY + YZ = XZ

We know that XZ = 10 + 1/5 = 51/5, and XY = 4 + 2/3 = 14/3, so

14/3 + YZ = 51/5

Subtract 14/3 from both sides to solve for YZ:

YZ = 51/5 - 14/3

Find a common denominator; the least common multiple of 5 and 3 is 15, so multiply the first fraction by 3/3 and the second one by 5/5 to get

YZ = 153/15 - 70/15

YZ = (153 - 70)/15

YZ = 83/15

We have 80 = 75 + 8, so that

YZ = 83/15 = (75 + 8)/15 = 75/15 + 8/15 = 5 + 8/15


Related Questions

easy 10 points and brainliest :)

Answers

Answer:

on the x-axis

Step-by-step explanation:

If x is less than 0, that means it's to the left of the origin, and if y = 0, then that means the point lies on the x-axis.  Hence, (x,y) is on the x-axis.

Cheers.

Fatima has 1/2 gallon of milk she wants to pour all milk into 6 glasses what fraction of a gallon should she pour into each glass

Answers

Answer:

4/5

Step-by-step explanation:

1/2÷6=0.8333333...

0.8333333...as a fraction is 4/5

Answer:

1/2

Step-by-step explanation:

Solve Quadratic Equations by Factoring:
Solve by factoring and using the Zero Product Property:
1. 2x^2+3x-5=x^2+4x-5
2. 16x^2+5=4
3. X^2+45=20-10x
WILL MARK BRAINLIEST!!

Answers

Answer:

x = 0 or 1x = ±i/4x = -5 (twice)

Step-by-step explanation:

Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.

1. x^2 -x = 0

  x(x -1) = 0 . . . . . x = 0 or 1

__

2. 16x^2 +1 = 0

This is the "difference of squares" ...

  (4x)^2 - (i)^2 = 0

  (4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)

__

3. x^2 +10x +25 = 0

  (x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2

what is w increased by 15 written out ​

Answers

Answer:

[tex]\Huge \boxed{w+15}[/tex]

Step-by-step explanation:

The number w is increased by 15.

15 is added to w.

[tex]\Rightarrow w+15[/tex]

Answer:

wwwwwwwwwwwwwww

Step-by-step explanation:

you said 15 w's

Dana recorded a temperature drop of 20 and a second temperature drop of 30. What is the total change in temperature

Answers

Answer: -50

Step-by-step explanation:

-20 + -30 = -50

The total change in temperature that Dana recorded will be -50 or a drop of 50.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

First temperature drop = -20

Second temperature drop = -20

Total drop = -20 - 20 = -40

Hence "The total change in temperature that Dana recorded will be -50 or a drop of 50".

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WILL GIVE BRAINLIEST!!!!!!!!!
Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.

Answers

Answer:

2

Step-by-step explanation:

The scale factor can be determined by simplifying the ratio of the corresponding length of the preimage to that of the image.

The preimage is the smaller shape shown, while the image is the lager shape shown.

Any side length can be used.

Thus, length of one side of the preimage, AD = 4 - 1 = 3 units

AD corresponds to side length A'D' if the image = 7 - 1 = 6 units

The ratio of the image length to the ratio of the preimage length = the scale factor

Thus:

6 : 3 = [tex] \frac{6}{3} = 2 [/tex].

The scale factor is 2.

Which decimals in the list are repeating decimals? 1/3 3/5 4/15 5/6 4/1000 1 3/4

Answers

Answer:

none

Step-by-step explanation:

1/3=0.33

3/5=0.6

4/15=0.26

5/6=0.83

4/1000=0.004

13/4=3.25

Answer:

To find a repeating decimal, divide the numerator by its denominator to find out if it is repeating.

1/3 = 0.333333...

3/5 = 0.6

4/15 = 0.26666...

5/6 = 0.833333...

4/1000 = 0.004

1 3/4 = 1.75

So, 1/3, 4/15, and 5/6 are repeating decimals.

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

I know the answer show me how you solve it​

Answers

Step-by-step explanation:

It's basically [tex]3\sqrt{3} - 1\sqrt{3}[/tex] which is just 3 - 1 since the radicals are the same.

how to do this question plz answer me step by step plzz ​

Answers

Answer:

No

Step-by-step explanation:

First, figure out the circumference:

c=[tex]\pi[/tex]d

c=[tex]\pi[/tex]180=565.48

Then divide by the space needed:

565.48÷70=8.07

With 18 tables and 8 people per table:

18x8=144

So they only have seating for 144 guests.

A preschool has a student to teacher ratio of 5:2. Yesterday, the total number of students was 55, how many teachers are at the preschool?

Answers

There are twenty two teachers

Express the quotient of r to the power of six sevenths divided by r to the power of two sevenths as a radical

Answers

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponents of the same base, we can simply subtract the powers so the new power would be 6 / 7 - 2 / 7 = 4 / 7, hence we need to write [tex]r^{\frac{4}{7} }[/tex] as a radical. When writing fractional exponents as radicals, the denominator of the fractional exponent is the index of the radical and the numerator is the exponent of the base inside the radical, hence, our answer is [tex]\sqrt[7]{r^{4} }[/tex].

6. Let f(x)=x-2 and g(x) = x^2. Find the value of (fog)(-1).
A. -1
B.9
C.3
D.-3

Answers

Answer:

The answer is option A

Step-by-step explanation:

f(x) = x - 2

g(x) = x²

In order to find (fog)(-1) we must first find (fog)(x)

To find (fog)(x) substitute the g(x) into f(x) that's for every x in f (x) replace it with

g (x).

That's

(fog)(x) = x² - 2

To find (fog)(-1) substitute the value of x that's - 1 into (fog)(x)

We have

(fog)(-1) = (-1)² - 2 = 1 - 2 = - 1

Hope this helps you

What is 3 2/5 as a decimal?

Answers

Answer:

3.4

Step-by-step explanation:

2/5 as a decimal is 0.4, and we can add 3 to it, getting 3.4

3.4 is the answer to what’s is 3 2/5 as a decimal

4. which of the following is the correct notation for 15-sqr-32
5. which of the following is equivalent to sqr-63

Answers

Answer:

See below.

Step-by-step explanation:

4.

[tex] 15 - \sqrt{-32} = 15 - \sqrt{-1 \times 16 \times 2} = 15 - 4i\sqrt{2} [/tex]

5.

[tex] \sqrt{-63} = \sqrt{-1 \times 9 \times 7} = 3i\sqrt{7} [/tex]

6.

[tex] \sqrt{-100} + 26 = \sqrt{-1 \times 100} + 26 = 10i + 26 = 26 + 10i [/tex]

If -4/3y=-3/4, then y =?

Answers

Step-by-step explanation:

y=-3/4 ÷ -4/3

y=+9/16‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌

Answer:

So we have this equation:

[tex]\frac{-4}{3y}=\frac{-3}{4}[/tex]

We can multiply both sides by 4 and 3y:

[tex]\frac{-4*4*3y}{3y}=\frac{-3*4*3y}{4}[/tex]

[tex]-4*4=-3*3y[/tex]

[tex]-16 = -9y[/tex]

Now we divide both sides by 9:

[tex]\frac{-16}{-9}=y[/tex]

And we can remove the minus signs:

[tex]\frac{16}{9}=y[/tex]

If you mean [tex]\frac{-4}{3}y=\frac{-3}{4}[/tex]:

[tex]-4y*4=-3*3[/tex]

[tex]-16y = -9[/tex]

[tex]y=\frac{9}{16}[/tex]

A rectangle is 10 cm long and it's perimeter is 26cm . find the breath of the rectangle

Answers

Answer:

the width of a rectangular is 3 cm

Step-by-step explanation:

Length L = 10 cm

Perimeter P = 26 cm

Width W = ?

perimeter = 2L + 2W

26 = 2(10) + 2W

26 - 20 = 2W

6 = 2W

W = 6 / 2

W = 3 cm

therefore,  the width of a rectangular is 3 cm

5. Let f(x) = x - 2 and g(x) = x^2. Find the value of (g of)(4).
A.14
B.4
C. 62
D.32

Answers

Answer:

B. 4

Step-by-step explanation:

(g o f)(x) means that we put the expression for f(x) in for x in g(x):

(g o f)(x) = g(f(x)) = (x - 2)²

We want to find (g o f)(4), so plug 4 in for x:

(g o f)(x) = (4 - 2)² = 2² = 4

The answer is thus B.

~ an aesthetics lover

Expression: (3215 - 3052) * 15
The value of the expression is

Answers

Answer:

2,445

Step-by-step explanation:

PEMDAS:

(3215 - 3052) * 15 =

163 * 15 =

2,445

Hope this helps.

Answer:

I think Its 24.45

Step-by-step explanation:

I did my best

A cube with an edge of length has a volume of 64 units. What is the length of ? Hint: Volume of a cube is LxWxH.

Answers

Answer:

it is 4

Step-by-step explanation:

20.
If a train travels 40 mph for 12 hours, what is the total distance traveled?
A 30 miles
B 48 miles
C 300 miles
D 480 miles

Answers

Answer:

D 480 miles

Step-by-step explanation:

Distance = speed * time = 40*12 = 480 miles

Answer:

D. 480 miles

Step-by-step explanation:

Speed = 40mph

Time = 12 hours

Distance =?

[tex]distance = speed \times time \\ distance = 40 \times 12 \\ distance = 480 \: miles[/tex]

10 less than a number is the same number doubled. What is the number?

Answers

Answer:

-10

Step-by-step explanation:

Let x = number

10 less than a number is the same number doubled

x-10 = 2x

Subtract x from each side

x-10-x = 2x-x

-10 = x

The number is -10

Write in an algebraic expression

1) x minus 4 is equal 27

2) n increased by 10 is equal to 43

3) the quotient of n and 8 is equal to 47

4) the quotient of a number and 5 is equal to 38

5) the product of k and 7 is less than or equal to 7

6) c decreased by 18 is less than 15

7) the n power of 6 is 39

8) the sum of w and 10 is equal to 19

9) the 9th power of n is equal to 42

Please help as soon as you can!

Answers

What was the answer to the proble above

f(x) = x^2 + 3 g(x) = 4x - 3 Find (f°g)(-1)​

a. 4
b. -52
c. -4
d. 52

Answers

Answer:

Step-by-step explanation:

g(-1) = 4(-1) - 3 = -4 -3 = -7

f(-7) = (-7)^2 + 3 = 49 + 3 = 52

Answer is D

Find the angles x and y in following figure.....correct answer will be mark BRAINLIEST and be followed...​

Answers

Answer:

<CTS=180-(35+31) (sum of <s in a triangle)

=180-66

=114 degrees

x=180-114 (angles on a straight line)

x=66 degrees

<TSR=180-(30+36)

=180-66

=114 degrees

<TSA=180-114

=66 degrees

y=180-(66+66)

y=180-132

y=48 degrees

Jai and kim need to collect cans of food for a food drive. Jai collect 65/100 of the total cans needed, and kim collects 2/10 of the total cans needed. What fracion of the total number of cans did they collect altogetther

Answers

Answer:

17/20

Step-by-step explanation:

Add 65/100 to 2/10

65/100 + 2/10 = 65/100 + 20/100 = 85/100 = 17/20

They collected 17/20 of cans of food altogether

Which of the following numbers is closest to 5?

A. V23
B. V26
C. V22
D. V28

Answers

Answer:

B

Step-by-step explanation:

V26 is closer to 5 because it's only one number away.

The number among the option that is closest to 5 is √26.

How to find the number closest to 5?

The number closest to 5 is the number that is almost 5.

The option are express in surd form, therefore, lets express in real numbers(decimal form) Real numbers are rational or irrational numbers. Therefore,

√23 = 4.79583152331

√26 = 5.09901951359

√22 = 4.69041575982

√28 = 5.29150262213

Therefore, using the decimal form, the closest number to 5 is √26

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A group of pirates found Treasure worth $540 the pirate the 4 Pirates each get to take the same amount of treasure home for the night. How much treasure did each pirate get to take

Answers

Answer:

$135

Step-by-step explanation:

What is greater 2 1/8 or 2 2/15

Answers

Answer:

If you would round off both set of fractions it will be equals. They are equivalent

Step-by-step explanation:

2 1/8= 2.125

2 2/15=2.1333

what is the measure of ABD

Answers

Answer:

Hey there!

The measure of angle ABD plus the measure of angle CBD equals 90 degrees or a right angle.

Thus, we can write the equation: ABD+51=90

Solving for ABD, we find that it is 39 degrees.

Let me know if this helps :)

the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.

What is right angle?

A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.

according to given figure

The measure of angle ∠ABD plus the measure of angle  ∠CBD equals 90 degrees or a right angle.

Thus, we can write the equation: ∠ABD + ∠CBD = 9[tex]0^{o}[/tex]

∠ABD + 5[tex]1^{o}[/tex] = 9[tex]0^{o}[/tex]

∠ABD = 9[tex]0^{o}[/tex] - 5[tex]1^{o}[/tex]

∠ABD = 3[tex]9^{0}[/tex]

Hence, the value of ∠ABD is 3[tex]9^{o}[/tex] degrees.

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A species of phytoplankton measures about 2 × 10−6 in. A grain of sand measures about 1 × 10−4 in. About how many times longer is the grain of sand than the phytoplankton?

Answers

Answer : The grain of sand is 50 times greater than the phytoplankton.

Step-by-step explanation :

As we are given that:

Size of phytoplankton = 2 × 10⁻⁶ in

Size of sand grain = 1 × 10⁻⁴ in

Now we have to determine how many times longer the grain of sand is than the phytoplankton.

We are dividing the sand grain size by the phytoplankton size.

This can be done by equating it as follows:

[tex]\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=\frac{1\times 10^{-4}in}{2\times 10^{-6}in}[/tex]

[tex]\frac{\text{Size of sand grain}}{\text{Size of phytoplankton}}=50[/tex]

Therefore, the grain of sand is 50 times greater than the phytoplankton.

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