Learning Task 1: Solve and check. Write your answers on a separate sheet of paper.

1. X + 5 = 2

2. X – 10 = 22

3. 3n / 6= 7

4. 96 – 4x = -28

5. 2x/ 3= 10

6. 5y – 2 = 18

7. -32 = 15 + d

8. H/5 = 8

9. 2/4 – 7 = 35

10. 453 + 364 + d = 1000

Pasagot po pls

Answers

Answer 1

Answer:

hello

[tex]x + 5 = 2\\x = 2 - 5\\x = - 3 \\\\x - 10 = 22\\x = 22 + 10 \\x = 32 \\\\3 n /6 = 7 \\3 n = 42\\n = 14\\\\96 - 4 x = - 28\\- 4 x = - 28 - 96\\- 4 x = - 124\\x = 31\\\\2 x /3 = 10 \\2 x = 30\\x = 15 \\\\5 y - 2 = 18\\5 y = 18 + 2\\5 y = 20\\y = 20/5 = 4 \\\\- 32 = 15 + d \\- d = 15 + 32\\- d = 47\\d = - 47 \\[/tex]

[tex]h /5 = 8 \\h = 40 \\\\453 + 364 + d = 1 000\\d = 1 000 - 817\\d = 183\\\\[/tex]

Step-by-step explanation:


Related Questions

wich expression shows a way to factor 15+18

Answers

15+18 is 33. There are many solutions to this question, but I do not know which solutions are shown/given to you. I will wing it.

3(5+6) can also be written as 3 x (5+6) or in a more simpler form, 5+6= is 11. So when we multiply 11 x 3, we get 33 which is also equal to 3(5+6) = 33. Hope this helps.

20x20x2 please I really need to answer this question

Answers

Answer:

800

Step-by-step explanation:

20*20=400

400*2=800

pls help ill give brainliest and 5 starts

Answers

1:plate 2:boundrary 3:geography 4:plate tections. I know this Bc I just took a test and made a 100% on this

Answer:

For number 1: Plate boundaries.

For number 2: Geography.

For number 4: Plate.

For number 5: Plate tectonics

Hope this helps.

-Mark me brainliest & 5 star-

how many solutions are there to the system of equations graphed below if the lines are parallel

Answers

Answer:

your answer would be zero

Step-by-step explanation:

Parllel lines never crosses or intercept, which means they have 0 solutions

What value completes this expression?

4m + ____m = 4m (1 + 6)

Answers

Answer:

24

Step-by-step explanation:

4(1)m + 4(6)m

= 4m + 24m

Plss help i need this asap
(will give brainliest)
(this is not from a test)

Answers

Answer:

90

Step-by-step explanation:

im not sure but im pretty sure it would be 90 dont come at me if it not:(

Answer:

360°/3=120°

 which is the size of each exterior angle.

Step-by-step explanation:

An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.

360°/3=120°   which is the size of each exterior angle.

The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one.

IN the same way, a square will rotate through 360/4=90°

A pentagon will rotate through 360/5=72°

for the figure to map onto itself.

Can the sides of a triangle have lengths 2, 1, and 2?
yes
no
Submit

Answers

Answer:

YES

Step-by-step explanation:

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)

1+2 >2

2+2>1

Twelve people apply for a teaching position in mathematics at a local college. Six have a PhD and six have a master’s degree. If the department chairperson selects three applicants at random for an interview, find the probability that all three have a PhD

Answers

Using the hypergeometic distribution, it is found that there is a 0.0175 = 1.75% probability that all three have a PhD.

The applicants are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem, the values of the parameters are as follows: N = 20, k = 6, n = 3.

The probability that all three have a PhD is P(X = 3), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,20,3,6) = \frac{C_{6,3}C_{14,0}}{C_{20,3}} = 0.0175[/tex]

0.0175 = 1.75% probability that all three have a PhD.

More can be learned about the hypergeometic distribution at https://brainly.com/question/24826394

1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?

Answers

Answer:

34

Step-by-step explanation:

Sum of two numbers = 7

1+6

2+5

3+4

34+9=43

Graph the image of the figure using the transformation given

Answers

Answer:

See the explanation

Step-by-step explanation:

Please see the photo

Brandon paid $70 for 20 gallons of
gasoline. How much did he pay per
gallon?

Answers

Answer:

$3.50

Step-by-step explanation:

For this question, you just take the price paid and divide it by the number of gallons.  In this case, you get $3.50 per gallon.

A path of 0.5 meter wide runs round within a square garden of side 15 m.Find it's perimeter ?

Answers

Answer:

:))

Step-by-step explanation:

ylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?

Answers

Answer:

Formula for volume of cylinder;

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), and 'r' is the radius which is squared, and 'h' is the height.

Plug in your values:

V = π[tex]r^{2}[/tex]h

V = 3.14(9^2) x 4

V = 3.14(81) x 4

V = 254.34 x 4

V = 1,017.36^3 feet or 1,017.36 cubic feet.

There is a bag a filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and
then it iS not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

Answer:

3/7

Step-by-step explanation:

Given

Red = 4, Blue = 3

Total number of marbles is

3 + 4 = 7

Probability of getting 2 of the same color is

P(2 same) = P(red, red) + P(blue, blue)

Probability of 2 reds is:

P(red, red) = 4/7*3/6 = 2/7

Probability of 2 blues is:

P(blue, blue) = 3/7*2/6 = 1/7

Required probability is

P(2 same) = 2/7 + 1/7 = 3/7

Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Group of answer choices x − y = 1 2x + 2y = 4 2x + 2y = −2 2x + 2y = 2

Answers

The most likely equation for line P so the set of equations has infinitely many solutions is 2x + 2y = -2.

How to know an equation with infinitely many solutions?

If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.

Therefore, let's check for the equation with the same terms and constant with the equation :

x + y = -1

Hence, the most likely equation of line p is as follows:

2x + 2y = -2

divide both sides by 2

2x/ 2 + 2y / 2  = -2 / 2

x + y = - 1

The equation of the line will be 2x + 2y = -2

learn more on equation here: https://brainly.com/question/2263981

#SPJ1

Which statement about the asymptotes is true with respect to the graph of this function f(x)= 3x^2-3/x^2-4

Answers

Answer:

D. The graph has two vertical asymptotes and one horizontal asymptote.

Step-by-step explanation:

Consider nick draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?

Answers

It will be 48/52 because there are 4 kings so 52-4=48

The probability of getting no kings is 0.7826

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The random experiment follows a hypergeometric distribution with,

N = 52 since there are 52 cards in a deck.

k = 4 since there are 4 kings in a deck.

n = 3 since we randomly select 3 cards from the deck.

x = 0 since we want no kings.

The probability of getting no kings is;

[tex]\rm = \dfrac{^4C_0 \times ^{48}C_3}{^{52}C_3}\\\\=\dfrac{1 \times 17296}{22100}\\\\= 0.78[/tex]

Hence, the probability of getting no kings is0.7826.

To know more about probability click the link given below.

brainly.com/question/11234923

Which system of equations

Answers

Answer:

The answer is J.

Step-by-step explanation:

Because y= 2x-3 as shown on the graph and on the chart it shows y=-x+3

Solve the system by substitution.

y= 4x + 22
y= -7x

(__,__)

Answers

Answer:

y=14, and x=-2(-2,14)

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

y=4x+22 and y=-7x

y=-7x=4x+22

Solve.

-7x=4x+22

x=2

Substitute.

y=-7x, x=-2

y=-7(-2)

Solve.

Multiply.

y=14

(-2,14)

Therefore, the final answer is (-2,14).

I hope this helps you! Let me know if my answer is wrong or not.

Find the missing side. Round your answer to the nearest tenths.

X=

Answers

Answer:

   16.5 ≈ x

Step-by-step explanation:

We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.

The tangent function definition is

tan α = opposite side/ adjacent side

In our problem

   tan 70° = x/ 6, multiply both sides by 6 to isolate x

6 · tan 70° = x, use the calculator (make sure is set in degrees)

    16.4848 ≈ x , round to the nearest tenths

         16.5 ≈ x


A dodgeball has a volume of approximately 113.04 cubic inches. Find the circumference of the ball. Use
3.14 for O.
14

Answers

Answer:

18.84 inches.

Step-by-step explanation:

Volume = 4/3 π r^3 = 113.04

r^3 = 113.04 / 4/3 * 3.14

r^3 = 27

r = 3 inches,

So the circumference = 2 * 3.14 * 3

= 18.84 inches.

Hey y’all! Can I please have some help??? :)

Answers

Answer:

Rhombi and Squares

Step-by-step explanation:

1) KY (pythagorean Thm) 5² + x² = 13²    ...= 12

2) PK Diagonals bisected. also = 12

3) Diagonals of rhombi are perpendicular. <YKZ = 90

4) 67. Alternate interior angles are congruent.

5) 3. Diagonals are bisected and congruent for squares.

6) 45° . Angles are bisected by diagonals.

7) 90° . All angles of squares are right angles.

8) 6. Diagonals are bisected. So 3 is doubled to 6.

9) I need graph paper.. hol'up

separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √

Answers

The multiplicative inverse for √2-i = 1/(√2+1) and  The multiplicative inverse is √2+1 = 1/(√2-1)

Real and Imaginary Numbers/Complex Numbers

Given Data

First expression = √2+iSecond expression = √2-i

For√2+i

the real part is  is √2 and the imaginary part is i

The multiplicative inverse is √2+1 = 1/(√2-1)

rationalising the denominator we have

= 1/√2-1 * √2-1/√2-1

= √2-1/(√2-1)*(√2-1)

= √2-1/(2-√2-√2+1)

= √2-1/(-2√2+3)

For√2-i

the real part is  is √2 and the imaginary part is -i

The multiplicative inverse is √2-1 = 1/(√2+1)

Rationalising the denominator we have

= 1/√2+1 * √2+1/√2+1

= √2+1/(√2+1)*(√2+1)

= √2+1/(2+√2+√2+1)

= √2+1/(2√2+3)

Learn more about complex Numbers here

https://brainly.com/question/10662770

Which expression is equivalent to 8/6?
•/14
•/48
•/96
•/384

Answers

Answer:

./48

Step-by-step explanation:

Q1. If you draw a triangle with angles that measure 25 degrees and 60 degrees, what will be the measure of the third angle?
Q2. If angle 1 and angle 2 are supplementary, and angle 1 measures 80 degrees, what is the measure of angle 2?

Answers

Answer:

Q1. 95 degrees  

Q2. 100 degrees

Step-by-step explanation:

When you create a triangle, all angle measures must equal 180 degrees.

So, using that information, take 180 and subtract both of the other values.

180 - 25 = 155

155 - 60 = 95

When two angles are supplementary, the sum of their angle measures equal 180, or a straight angle.

Using that information, take 180 and subtract 80.

180 - 80 = 100

PLSS HELPP IMPORTANT
(WILL GIVE BRAINLIEST)!

Answers

I believe it is reflection across the Y-axis, followed by reflection across the X-axis.

Reflection is the mirror image of the shape across an axis.

Translation is the sliding down or up of the shape.

Answer:

c. It is a reflection around the x-axis and a reflection around the y-axis

Step-by-step explanation:

Find the area of the rectangle.

l=10 in, w=7.5 in

Answers

Answer:

It should be 75 inches

Step-by-step explanation:

Given: Line segment A B is parallel to line segment D C and Measure of angle 2 equals measure of angle 4
Prove: Line segment A D is parallel to line segment B C

A parallelogram has points A B C D. Angle D A B is angle 1, Angle A B C is angle 2, Angle B C D is angle 3, and angle C D A is angle 4.

A 2-column table with 7 rows. Column 1 is labeled statements and has entries line segment A B is parallel to line segment D C, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 + measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment A D is parallel to line segment B C. Column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem.



m∠1 = m∠4
m∠2 = m∠3
m∠1 + m∠4 = 180°
m∠2 + m∠3 = 180°

Answers

Answer: m∠1 + m∠4 = 180°

Step-by-step explanation:

If angles 1 and 4 are supplementary, their measures must add to 180 degrees.


Sunny made a deposit into an account that
earns 6% simple interest. After 7 years, Sunny
had earned $420. How much was his initial
deposit?

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$420\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &7 \end{cases} \\\\\\ 420 = (P)(0.06)(7)\implies \cfrac{420}{(0.06)(7)}=P\implies 1000=P[/tex]

Drag the measurements to the containers to show equal length.

Answers

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

1 ft = 12 in; 1 yd = 3 ft and 1 yd = 36 in.

Hence:

15 yd = 15 yd * 36 in per yd = 540 in

195 ft = 195 ft * 12 in per ft = 2340 in

5280 yd = 5280 yd * 3 ft per yd = 15840 ft

The measurements that show equal length is 15 yd and 540 in, 195 ft and 2340 in, 5280 yd and 15840 ft

Find out more on equation at: https://brainly.com/question/2972832

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