What do you notice about dividing numbers with the same base?

Answer:

A) 2x + y = -5

D) -2x = y

E) 2d = 4 - y

Step-by-step explanation:

Answer:

The answers you are looking for is.... A) 2x + y = -5

D) -2x = y

E) 2d = 4 - y

Step-by-step explanation:

Answer:

y = - [tex]\frac{15}{74}[/tex]

Step-by-step explanation:

Given

- 3 [tex]\frac{7}{10}[/tex] = [tex]\frac{-3}{-4}[/tex] y = [tex]\frac{3}{4}[/tex] y ( change the mixed number to an improper fraction )

- [tex]\frac{37}{10}[/tex] = [tex]\frac{3}{4}[/tex] y

Multiply through by 20 ( the LCM of 10 and 4 )

- 74 = 15y ( divide both sides by 15 )

- [tex]\frac{74}{15}[/tex] = y

Answer:

(0, 13)

Step-by-step explanation:

The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.

2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).

So 1 space left from the midpoint is 1-1=0.

For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.

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Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

Step-by-step explanation:

5p/7-18=-43

5p/7=-43+18

5p/7=-25

5p=-25×7

5p=-175

p=-175/5

p=-35

not sure lol

Answer:

5p/7 = -43+18

5p/7 = -25

5p= -25*7

p = -35

Step-by-step explanation:

Answer:

Check box 4 and 5

Step-by-step explanation:

We know there can only be up to 2 solutions for a quadratic equation.

5x^2-2x-9=0 is your equation, make sure to move that 1 to the left

Now we can use the quadratic formula

a=5

b= -2

c= -9

x= −1.15647

x=1.55647

Thus I would select the last 2 boxes. Both of them are solutions.

Answer:

-1

Step-by-step explanation:

Given the equation :

2(3x – 1) > 4x – 6

Open the bracket :

6x - 2 > 4x - 6

Collect like terms

6x - 4x > - 6 + 2

2x > - 4

Divide both sides by 2

2x /2 > - 4/2

x > - 2

Since x > - 2

-10, - 5, - 3 are all < - 2

Hence, the only option greater than - 2 is - 1

Answer:

C) 78

Step-by-step explanation:

its technically 77.5714... but rounds to 78, hope that helps

Answer:

It is 78 because when placed in numerical order it is in the middle

Answer:

x = -1

Step-by-step explanation:

i multiplied the first equation by 2 to eliminate the fractions and got:

-4x + y = 3

used substitution method:  y = 3 + 4x

x - 3(3 + 4x) = 2

x - 9 -12x = 2

-11x = 11

x = -1

Answer:

2 bags of topsoil.

Step-by-step explanation:

The attached figure shows a flower bed.

One bag of topsoil covers 15 square meters.

We need to find how many bags of topsoil does Tom need to cover his flower bed.

The area of the flower bed is :

[tex]A=\dfrac{1}{2}\times 12\times 5\\\\=30\ m^2[/tex]  

Let he has to cover x bags of topsoil. So,

x = Area of flower bed/Area of 1 bag of top soil

x = 30/15

x = 2

Hence, he will need 2 bags of topsoil to cover his flower bed.

Answer:

good job its very good

Step-by-step explanation:

Answer:

Best of luck! I hope your exam goes well!!!

m=-2

b=4

Slope=-2x+4

y<-2x+4

Answer:

first one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x-intercept is (-4,0)

y-intercept is (0,-3)

Answer:

Step-by-step explanation:

If we take 1 cup of Original purple paint,

Ratio of blue and red paint = 2 : 3

Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups

Similarly, ratio of blue and red paint in the New purple paint = 5 : 7

If we take 1 cup of New purple paint,

Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups

Therefore, shade of both the mixtures will not be same.

Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.

Answer:

850

Step-by-step explanation:

850*0.3=255

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

Answer:

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where m is the slope and (x₀, y₀) is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                y + 7 = -7(x - 3)

Answer:

12

Step-by-step explanation:

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

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Answer:A IS THE LINEAR FUNCTION

Step-by-step explanation: NO NEED FOR EXPLANATION

Answer:

m = n = 14°

Step-by-step explanation:

The angle at the centre is twice the angle at the circumference subtended on the same arc.

angle at circumference = 0.5 × 98° = 49°, then

35° + m = 49° ( subtract 35° from both sides )

m = 14°

Angles subtended on the same arc are congruent.

m and n are 2 such angles, thus

n = m = 14°

Answer:

The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.

Then one angle is marked as a right angle meaning it has a measure of 90 degrees.

Using this information and the labels on the diagram we can set up an equation:

x+3x+2+90=180

Now we can solve for x.

4x+92=180

4x=88

x=22 degrees

The measure of one of the acute angles is 22 degrees.

Now to solve for the measure of the other acute angle.

Subsitute the value of x first.

x=22

(3x+2)=?

3*22+2=68 degrees

The measure of the other acute angle is 68 degrees.

In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)

Thus:

[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)

[tex]x + 3x + 2 + 90 = 180[/tex]

[tex]4x + 92 = 180\\\\[/tex]

[tex]4x = 180 - 92\\\\4x =88[/tex]

x = 22

Measure of one of the acute angles is 22 degrees.

To find the second acute angle measure, substitute the value of x

3x + 2 = 3(22) + 2 = 68 degrees

Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:

[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]

Learn more here:

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Answer:

12

Step-by-step explanation:

Because < this means less than. So therefore 5 is less than 12

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Answer:

option b the median would decrease

Answer:

13.44

Step-by-step explanation:

she is right...........

Answer:

The correct unit price is $1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Step-by-step explanation:

The contractor should have calculated the unit price as $67.20 divided by 60 pairs. Five dozen pairs is 5x12=60. This results in $67.20/60=$1.12 per pair. The error comes from dividing $67.20 by only 5 pairs (instead of 60 pairs).

Answer:

The answer is a

Step-by-step explanation: