Mathematics High School

please help and show work if you can ​

Please Help And Show Work If You Can

Answers

Answer 1

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10

Related Questions

Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+_____a. -36b. 36c. 16d. -16

Answers

Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

Coefficient of x = 12

Half of 12 = 1/2(12) = 6

Square of 6 = 6² = 36

Hence the required number to add to both sides of the equation by completing the square method is 36

In which point of the graph is the water increasing?

Answers

Answer:

2

Step-by-step explanation:

1, the previous answer 2 is wrong because nothing is happening to the water during that period

Trip has 15 coins worth 95 cents.Four of the coins are each worth twice as much as the rest. Construct a math argument to justify the conjecture that Trip has 11 nickels and 4 dimes

Answers

(11*5)+(4*10)=95
11+4=15
Both are equal to the constraints of the word problem and there for justified.

Felix bought a new pair of pants for $27.98. If the sales tax is 6%, how much did he spend in total?

Answers

Answer:

$29.66

Step-by-step explanation:

6% taxes is 1.68 , 27.98+ 1.68= $29.66

Price=$27.98Sales tax=6%

Sales tax:

[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]

[tex]\\ \tt\longmapsto 1.67[/tex]

Total=

27.98+1.67=29.65$

Write the exponent for the expression.

15 × 15
The exponent for the expression is ___

Answers

Answer:

2. i think. correct me if im wrong.

Answer: The answer is 2

Step-by-step explanation:

Factorise
121ײ + 110 +25 y²​

Answers

Answer:

(5y+11)²

Step-by-step explanation:

The given expression is :

25y²+110y+121

We need to factors of the given expression.

We know that, (11)² = 121

5² = 25

We can write the given expression as :

25y²+110y+121 = (5y)² + 2(5y)(11) +11²

Using identity : (a+b)² = a²+2ab+b²

25y²+110y+121 = (5y+11)²

Hence, the factors of 25y²+110y+121 is (5y+11)².

While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of shoes for $21. What is the total cost of these items, if the store is offering a 30% discount?

Answers

Answer:

$88.9

Step-by-step explanation:

First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:

Total cost=(29*2)+(16*3)+21

Total cost=58+48+21

Total cost=127

Now, you have to calculate 30% of that total and subtract that amount from the total cost:

127*30%=$38.1

127-38.1=$88.9

According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.

Pls help and show workings
Due ASAP

Answers

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

Caleb rides his horse with a constant speed of 10 miles per hour. How long will he take to travel a distance of 15 miles?

Answers

Answer:

1 hour and 30 minutes

Step-by-step explanation:

Answer:

1 hour and 30 minutes

Step-by-step explanation:

15 is 10+1/210 1/2 is also known as 1515 miles at a constant of 10 miles per hour then equals 1 hour and a half 1 hour and 30 minutes

Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
O {(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O {0, -9, -2, -3}

Answers

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

Answer:

C

Step-by-step explanation:

Here, we want to select the option that present a function

For a set of points to be a function, we have that every single x value is directly mapped to a single y value

As we can see, this is correct only for the third option

There is no repetition of x-values or y-values

Every x value is directly linked to a different y-values

6x – 2 = 2х +8
ANSWER QUICKLY PLEASE

Answers

Answer: 2.5

Step-by-step explanation: subtract 2x from both sides and get 4x-2=8 so then add 2 on both sides to get 4x=10 and last step is to divide both sides by 4 which wild get you x=2.5

6x -2x = 8+2
4x = 10
x= 10/4 = 2.5

can somebody help me??

Answers

Answer: two solutions and

Step-by-step explanation:

how do i graph the equation y= -4x - 1

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

  y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?

Answers

Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

Which set of ordered pairs represents y as a function of x?

A. {(2, 5), (3, 1), (4, 1), (4, 7)}


B. {(3, 2), (4, 3), (3, 2), (2, 6)}


C. {(1, 3), (3, 5), (2, 5), (1, 6)}


D. {(6, 7), (4, 6), (-4, 4), (5, 1)}

Answers

Answer:

D

No repeated x values

Answer:
D

Explanation :

Zane's doctor says that zane should carry a booking that weighs less than 20 pounds. Zane carries his laptop, which weighs five pounds, and some notebooks, Assuming that each notebook weighs three pounds, how many notebooks can he carry in his bag without going over the weight limit?

Answers

Answer:

5 note book

Step-by-step explanation:

laptop - 5 pounds

Notebook - 3 pounds

20-5= 15

15÷3= 5.

He should carry 5 notebooks because 3x4=12+ the 5 pounds=17. If he were to carry a more that would equal 20 but the the question says to carry LESS than 20 pounds

v / -0.8 +14=39 plssss help this is literally so hard ​

Answers

Answer: [tex]\boxed{\boxed{\sf~v=-20}}[/tex]Solution Steps:

______________________________

1.) Subtract 14 from both sides:[tex]14-14=[/tex] Cancels Out[tex]39-14=25[/tex]

 - We do this because we have to get 2 variables/numbers on each side of the equals, and the only way to do so is to cancels other numbers out by doing the opposite of what we see.

Equation at the end of Step 1:

[tex]v[/tex] ÷ [tex]-0.8=25[/tex]

2.) Multiply both sides by −0.8:[tex]-0.8[/tex] × [tex]-0.8=[/tex] Cancels Out[tex]25[/tex] × [tex]-0.8=-20[/tex]

______________________________

Felix joined a local recreation center to play basketball the recreation center try to a $20 annual fee plus an additional $15 per month for usage of basketball courts feel like pre-pays by writing a check for $185 for how many months did Felix pay

Answers

Answer: Felix paid for 11 months.

Step-by-step explanation:

Let x = Number of months

Given: Annual fee = $ 20

charge per month = $15

Total amount = Annual fee + (charge per month) x (number of months)

[tex]\Rightarrow\ 185 = 20+15x\\\\\Rightarrow\ 165=15x\\\\\Rightarrow\ x = \dfrac{165}{15}\\\\\Rightarrow\ x =11[/tex]

Hence, Felix paid for 11 months.

1. The solution to a system of equations is (6,-3). Choose two equations that might
make up the system.
A. y = -2r+6
B. y = 2x - 9
C. y = -5x + 27
D. y = 2x - 15
E. y = -4x + 27

Answers

Is answer C brother

Could you please Help Me?
The work of a student to solve the equation
2(5y − 2) = 12 + 6y is shown below:

Step 1: 2(5y − 2) = 12 + 6y
Step 2: 7y − 4 = 12 + 6y
Step 3: y − 4 = 10
Step 4: y = 14
Step 5: y = 7
In which step did the student first make an error and what is the correct step? Step 2: 7y − 4 = 6 + 3y
Step 2: 10y − 4 = 12 + 6y
Step 3: 5y − 2 = 2(10 + 3y)
Step 3: 2(5y − 2) = 10 + 3y​

Answers

Step 2: 10y - 4 = 12 + 6y

Calculate the area of the square shown below.

its a square ■ and on the bottom its 3.1 yd what do I do?

Answers

Step-by-step explanation:

area of square is a^2

3.1yd^2=9.61yd^2

Answer:

Area = 9.61^2

Step-by-step explanation:

A square has all equal sides so each side is the same length. To find the area mulyiply the length by the width. Since it is a square both sides will be 3.1 yds long. So multiply 3.1 by 3.1 and you will get 9.61^2, That is the area of the square.

Can you help me with question number 10, please?

Answers

Answer:

(1) 8.3

Step-by-step explanation:

Answer:

1) 8.3

Step-by-step explanation:

get rid of the (), which u will get 4x-28=0.3x+0.6+2.11

combine like terms, which u will get 4x-28=0.3x+2.71

move variable to one side and numbers to the other, which you will get

3.7x=30.71

divide both sides by 3.7 which u will get 8.3

what are the steps to solving

2x−1(5−3x)=4x+2

Answers

Answering:

Step-by-step explanation:

How to solve your question

Your question is

2

Answer:

The answer is above :)

Step-by-step explanation:

Hope i helped

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer:

D

Step-by-step explanation:

Researcher were testing out a new antibiotic on a certain bacteria. They started with 38,000 bacteria. After one treatment with antibiotics, 33,820 were left. After a second treatment, 30,100 bacteria were left. How many bacteria will be left on day 27

Answers

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

help me plz i dum reeee

Answers

Answer:

The mean absolute deviation of the data set is 2.5

Step-by-step explanation:

We need to find mean absolute deviation of the data set:

10,8,10,6,6,2,10,4

First we will find mean of the given data set.

The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]

Sum of all data = 10+8+10+6+6+2+10+4 = 56

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]

Now, we will calculate the absolute difference between mean and each data value.

|10-7| = 3

|8-7| = 1

|10-7| = 3

|6-7| = |-1| = 1

|6-7| = |-1| = 1

|2-7| = |-5| = 5

|10-7| = 3

|4-7| = |-3| = 3

Now, we will find mean of 3,1,3,1,1,5,3,3

Sum of all data = 3+1+3+1+1+5+3+3 = 20

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]

So, the mean absolute deviation of the data set is 2.5

..........................................​

Answers

Hey again!

The answer to your question is 4/3

This is because it is larger than one, so it would make it bigger than the original drawing.

Hope it helps and let me know if there's anything else. Have a great day!

Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.

Answers

Answer:

Step-by-step explanation:

ok so do this

9x² + 3x - 8 - (3x² + 8x)

distribute the negative sign

9x² + 3x - 8 - 3x² - 8x

simplify

6x² - 5x - 8

hope this helps <3

Solve the system using substitution.
y=2x−5
y=2x+7

May someone explains and help me with a picture, please.

Answers

Answer:

no solutions

Step-by-step explanation:

if y=2x-5

and y=2x+7

2x-5=2x+7

-5 is not equal to 7

Answer:

no solution.

Explaination:

solve for the very first variable in your equation and then you would substitute the result into the other equation. by doing so, you should get no solution.

Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid

Answers

Answer:

Temperature needs to drop by 61.5°

Step-by-step explanation:

Given that:

Freezing temperature of ocean water = - 2.5

Freezing temperature of fresh water = 0

Freezing temperature = anti-freeze = - 64

If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5

How many more degrees must the temperature drop for temperature to turn solid :

Freezing temperature of anti-freeze - current temperature

-64 - (-2.5)

-64 + 2.5

-61.5

-61.5(the temperature needs to drop by 61.5°)

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