HCF of 15 and 60
in full form
​

Answer:

34

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| a | = | - a | = a , thus

| - 34 | = 34

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1) ← 2 points on the line

m = [tex]\frac{1-3}{1-0}[/tex] = - 2

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = - 2x + 3 ← equation of line

Answer:

6 liters.

Step-by-step explanation:

So we have a glass, a jar, and a pitcher and together, they hold 54 liters.

We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:

[tex]g+j+p=54[/tex]

Since  jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:

[tex]g+(3g)+(5g)=54[/tex]

Combine like terms:

[tex]9g=54[/tex]

Divide both sides by 9. The left cancels:

[tex](9g)/9=54/9\\g=6[/tex]

Therefore, the volume of the glass is 6 liters.

Answer:

[tex]\Large \boxed{\sf 6 \ liters}[/tex]

Step-by-step explanation:

Let the volume of the glass be x.

Let the volume of the jar be y.

Let the volume of the pitcher be z.

[tex]\sf y = 3x \\\\z = 5x[/tex]

[tex]\sf x + y + z = 54[/tex]

Substitution method.

[tex]\sf x+3x+5x=54[/tex]

Combining like terms.

[tex]\sf 9x = 54[/tex]

Dividing both sides by 9.

[tex]\sf x = 6[/tex]

The volume of the glass is 6 liters.

Answer:

2, 6, 10, 14

or

14, 10, 6, 2.

Step-by-step explanation:

Let the four consecutive numbers in A.P. be a - 3d, a - d, a + d, a + 3d

According to the first condition:

a - 3d + a - d + a + d + a + 3d =32

4a = 32

a = 32/4

a = 8

According to the second condition:

[tex] \frac{(a - 3d)(a + 3d)}{(a - d)(a + d)} = \frac{7}{15} \\ \\ \frac{ {a}^{2} - (3d)^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {a}^{2} - 9d^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {8}^{2} - 9d^{2} }{ {8}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ 64 - 9d^{2} }{ 64 - {d}^{2} } = \frac{7}{15} \\ \\ 15(64 - 9 {d}^{2} ) = 7(64 - {d}^{2} ) \\ \\ 960 - 135 {d}^{2} = 448 - 7 {d}^{2} \\ \\ 960 - 448 = 135 {d}^{2} - 7 {d}^{2} \\ \\ 512 = 128 {d}^{2} \\ \\ {d}^{2} = \frac{512}{128} \\ \\ {d}^{2} = 4 \\ \\ d = \pm 2 \\ \\ when \: d = 2 \\ a - 3d = 8 - 3 \times 2 = 8 - 6 = 2 \\ a - d = 8 - 2 = 6 \\ a + d = 8 + 2 = 10 \\ a + 3d = 8 + 3 \times 2 = 8 + 6 = 14 \\\\ when \: d = - 2 \\ a - 3d = 8 - 3 \times ( -2 ) = 8 + 6 = 14 \\ a - d = 8 -( - 2 )= 8 + 2 = 10 \\ a + d = 8 + ( - 2 )= 8 - 2 = 6\\ a + 3d = 8 + 3 \times ( - 2 )= 8 - 6 = 2 \\[/tex]

Thus the four consecutive numbers of the A. P. are 2, 6, 10, 14 or 14, 10, 6, 2.

Answer:

it is so unclear to say . If any more information is given, then only it can be answered. I don't think 196 is so special to be classified.

Answer:

2.5 hours

Step-by-step explanation:

(380/50) x 20

7.6 x 20

152

The final answer wold be 152 minutes or 2.5 hours

Answer:

-1/6

Step-by-step explanation:

- 1/2 + 3/4 x 4/9 = -1/2 + 3(4) / 4(9) = -1/2 + 12 / 36 = -1/ 2 + 1 / 3 = -3/6 + 2/6 = -1/6

The solution for the given expression [tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex] after simplifying the expression is [tex]-\frac{1}{6}[/tex].

Given an expression:

[tex]-\frac{1}{2} +(\frac{3}{4} \times \frac{4}{9} )[/tex]

It is required to find the value of the expression after simplifying the expression.

Since there is more than one operation used in this expression, the rule of BODMAS has to be used.

The expression in brackets has to be solved first, which is [tex]\frac{3}{4} \times \frac{4}{9}[/tex].

Here, the numerator of the first fraction and the denominator of the second fraction is 4. So, it can be canceled.

So, this can be simplified as:

[tex]\frac{3}{4} \times \frac{4}{9} =\frac{3}{9}[/tex]

         [tex]=\frac{1}{3}[/tex]

The whole expression thus is [tex]-\frac{1}{2} +\frac{1}{3}[/tex].

Make the denominators equal.

[tex]-\frac{1}{2} +\frac{1}{3} =-\frac{3}{6} +\frac{2}{6}[/tex]

            [tex]=-\frac{1}{6}[/tex]

Hence, the value is [tex]-\frac{1}{6}[/tex].

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Answer:

3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.

Answer:

x = 9

Step-by-step explanation:

Calculate the slope m using the slope formula then equate to 2

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 8) and (x₂, y₂ ) = (x, 2 )

m = [tex]\frac{2+8}{x-4}[/tex] = [tex]\frac{10}{x-4}[/tex] = 2 ( multiply both sides by x - 4 )

2(x - 4) = 10 ( divide both sides by 2 )

x - 4 = 5 ( add 4 to both sides )

x = 9

Answer: -3/2

Step-by-step explanation:

There are two methods to find the slope

METHOD 1. Rise/Run

Rise: the y-axis value

Run: the x-axis value

In the graph, rise/run=3/2

The line is going down, so it should be negative

-3/2

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

y=2 16/25

in other words, two and sixteen twenty-fifths

Step-by-step explanation:

y/2-1/5=2-y/3

Move the variables to one side and constants to the other

y/2+y/3=2+1/5

Multiply y/2 by 3/3 and y/3 by 2/2 so that they have a common denominator

3y/6+2y/6=2 1/5

5y/6=11/5

Cross multiply

66=25y

y=66/25

y=2 16/25

HOPE THIS HELPS!!!

Answer:

y intercept is 10 and slope is 2

Step-by-step explanation:

Answer:

x = 29

Step by step explantion:

Answer:

x = 29

Step-by-step explanation:

Distribute/ Multiply:

8x - 4 - 3 = 9x - 36

Rearrange the equation:

8x - 9x = -36 + 4 + 3

Combine like terms:

-1x = -29

Divide:

x = 29

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: Because its just easy ;/

Answer:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Step-by-step explanation:

Given

[tex]4 * p * 4 * p[/tex]

Required

Write as exponents

[tex]4 * p * 4 * p[/tex]

Rearrange to collect Like Terms

[tex]4 * 4 *p * p[/tex]

Group both items

[tex](4 * 4) *(p * p)[/tex]

Apply law of indices

[tex](4^{1+1})(p^{1+1})[/tex]

[tex](4^2)(p^2)[/tex]

Remove bracket

[tex]4^2p^2[/tex]

Hence:

[tex]4 * p * 4 * p = 4^2p^2[/tex]

Answer:

= 3xy + ( 5x + x) + 3y + ( 4 +2 )

= 3xy + 6x + 3y + 6

Answer:

g(1)=7 1/5

Step-by-step explanation:

vertex (-5,0) , y intercept(0,5)

the quadratic equation is in the form of a parabola: y=ax²+bx+c

y=a(x-h)²+k    find a and b and c

5=a(0-(-5))²+0

5=a(5)²+0

5=25a  ⇒ a=5/25 ⇒ a=1/5

-b/2a=h

-b=2ah ⇒=-b=2(1/5)(-5) ⇒ -b=-2⇒ b=2

y=c=5 ( when x=0, y intercept)

y=1/5x² + 2x + 5

g(1)=1/5(1)²+2(1)+5

g(1)=1/5+2+5

g(1)=7 1/5

A quadratic function has a degree of 2, and it is represented as: [tex]y = ax^2 + bx + c[/tex]. The value of g(1) is -7.2

Given that:

[tex](h,k) = (-5,0)[/tex] --- the vertex

[tex](x,y) = (0,-5)[/tex] --- the y-intercept

The quadratic function in vertex form is:

[tex]y = a(x - h)^2 + k[/tex]

Where:

[tex](h,k) = (-5,0)[/tex] --- the vertex

So, we have:

[tex]y = a(x - -5)^2 + 0[/tex]

[tex]y = a(x +5)^2[/tex]

Substitute [tex](x,y) = (0,-5)[/tex] to calculate the value of a

[tex]-5 = a(0 +5)^2[/tex]

[tex]-5 = a(5)^2[/tex]

[tex]-5 = a \times 25[/tex]

Divide both sides by 25

[tex]a = -\frac 15[/tex]

So, the quadratic equation is:

[tex]y = a(x +5)^2[/tex]

[tex]y = -\frac 15(x +5)^2[/tex]

Rewrite as a function

[tex]g(x) = -\frac 15(x +5)^2\\[/tex]

To calculate g(1), we simply substitute 1 for x

[tex]g(1) = -\frac 15(1 +5)^2[/tex]

[tex]g(1) = -\frac 15(6)^2[/tex]

[tex]g(1) = -\frac 15 \times 36[/tex]

[tex]g(1) = -7.2[/tex]

Hence:

The value of g(1) is -7.2

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Answer:

3

Step-by-step explanation:

a^2+b^2=9

(a+b)^2=9

finding the square root on both sides of the equation

a+b=3

Answer:

Rectangle

Step-by-step explanation:

According to this grapher that I am using it shows a rectangle using your coordinates

Please give brainliest

Answer:

Rectangle

Step-by-step explanation:

Opposite sides (1, 1), (4,1) and (1, 3), (4,3) are horizontal and have length 3.

Opposite sides (1, 1), (1, 3) and (4, 1), (4,3) are vertical and have length 2.

There two pairs of opposite sides that are congruent, so this is a parallelogram. Since not all sides are congruent, this is not a square or a rhombus.

In addition, vertical sides and horizontal sides form right angles, so this is a parallelogram with right angles. It is a rectangle.

Answer: it flew 1883 miles and average speed was about 50 miles per hour

Step-by-step explanation: to get 1883 you just add up 1282+601

Answer:

34

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

18 × 2 - 4² ÷ 8

Step 2: Exponents

18 × 2 - 16 ÷ 8

Step 3: Multiply

36 - 16 ÷ 8

Step 4: Divide

36 - 2

Step 5: Subtract

34

Step-by-step explanation:

2x*2+10x + 8

=4x+10x+8

=14x+8

inverse of 14x+8

x-8/14

=14

Answer:

y vertex=2(-5/2)^2+10(-5/2)+8=-9/2

vertex=(-5/2, -9/2)

Answer: 33.33%

Step-by-step explanation:

1 day=24 hrs, 2 days=48hrs

 16hrs/2days × 100%

=16hrs/48hrs × 100%

=0.333... × 100%

=33.33% (rounded)

Step-by-step explanation:

[tex] \frac{16}{100} \times 48(2day) = 7.68\%[/tex]

Answer:

the answer is the last choice

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

6-(-8)= 14

Answer:

x = -8

Step-by-step explanation:

I hope this helps!

Answer:

42

Step-by-step explanation:

x=3

6+x6+x6

6+(3)6+(3)6

6=6

(3)6=18

(3)6=18

6+18+18

24+18

42

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

[tex]6+x^6+x^6+x\\\\6+(3)^6+(3)^6+3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+\left(3\right)^6+3\\\\\mathrm{Calculate\:exponents}\:\left(3\right)^6\::\quad 729\\=6+729+729+3\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6+729+729+3\::\quad 1467[/tex]

Answer:

The slope of the equation y-3=-4(x-5) is -4.

Step-by-step explanation:

This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations.  In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.

Slope of the equation is equals to -4.

" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."

General equation of line

y = m x + c                              ____(1)

'm' = slope of the line

'c' = y - intercept

According to the question,

Given equation,

[tex]y-3 = -4(x-5)[/tex]

Open the brackets of the equation we get,

[tex]y-3 = -4x+20[/tex]

Add 3 both the sides of the equation we get,

[tex]y = -4x+23[/tex]                      ______(2)

Compare equation (1) and (2)  to get the slope we have,

Slope 'm' = -4

y-intercept = 23

Hence, slope of the equation is equals to -4.

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Answer:

4 and 1/8

Step-by-step explanation:

1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.

Answer:

The answer is not -1/2

Step-by-step explanation:

I got the answer from the person above and the answer is not -1/2 so do not believe them.