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

20x20x2 please I really need to answer this question

Answers

Answer:

800

Step-by-step explanation:

20*20=400

400*2=800

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

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

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


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

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

Graph the image of the figure using the transformation given

Answers

Answer:

See the explanation

Step-by-step explanation:

Please see the photo

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

Answers

Answer:

./48

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.

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.

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

Find the area of the rectangle.

l=10 in, w=7.5 in

Answers

Answer:

It should be 75 inches

Step-by-step explanation:

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

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-

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.

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:

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:

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

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

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

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

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

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:

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

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.

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.

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.

Other Questions
Please I really need help!? NOW!! Will give brainest!! PLEASE READ THE PICTURELet g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest! You work in the mayors office and you are providing the mayor with a list of talking points for a speech. In your town, 1313 of the residents live in rented dwellings. Of those who live in rented dwellings, 1212 are in families with school-age children. On your list of talking points, what fraction of the residents should you list as living both in rented dwellings and in families with school-age children? LGBTQ Americans, Native Americans, and Hispanics all organized to advocate for their civil rights during the 1960s.What inspired them?A.) books promoting their causesB.) the womens movementC.) the African American civil rights movementD.) new legislation What things should you consider when you visit America? Write any three things. 6-5 additional practice properties of special parallelograms 2. east of the continental divide, water flows where? What is the subject of this sentence? Roger walks three miles daily.a) walksb) three milesc) Roger Please help I am not understanding There is no psychology subject, so I'm asking in this. How does one be appreciated? Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3)) Deandre Willis is single and owns a hair salon. He has calculated the following assets and liabilities. Find DeAndres net worth.ASSETS- current value of the hair salon: $180,000- current value of car: $12,500- checking account balance: $1,300- combined savings: $18,000- balance in retirement account: $30,000- current value of owned electronics: $20,000LIABILITIES- remaining balance on mortgage: $120,000- remaining balance on personal loan: $4,600- combined credit card debt: $23,000 What were the two goals of the counter-reformation?. Express 9 2/3 out of 100 as a percent . URGENT! Why do government agencies and private industries set product standards? what are 2 of the characteristics of temporary physical change Please help! Refer to the image. 7. According to the passage, during Peru's World Cupqualifying match against Brazil, the narrator's family'semotions turned from:A. excitement into sadness.B. resentment into reconciliation.C. gloom into anger.D. pity into embarrassment. In countries with high Gross Domestic Products (GDP) per capita, women's rate of participation in the workforce tends to Write a paragraph explaining what Manifest Destiny is. Then explain and give one example on how Manifest Destiny plays a role in Oregon becoming part of the United States.