The difference between 32 and 7 times a number is 2.

Answer:

x=9

Step-by-step explanation:

Using the second equation (y=54), we can substitute 54 for y to solve for x...

y=6x

54=6x

Divide both sides by 6

x=9

Answer:

x = 9

Step-by-step explanation:

Since y = 54

54 = 6x

Divide both sides of the equation by the same term

54/6=6x/6

Simplify

x = 9

[RevyBreeze]

Answer:

-10

Step-by-step explanation:

I think you are asking which is the least distance from 0 which would just be -10

Answer:

18 cows can be milked in 6 hours

Step-by-step explanation:

hrs.=3

Answer:

[tex]x - 4y = - 6 \: ......(1) \\ \\ 2x + 3y = 10 \: .......(2)[/tex]

from equation (1)

[tex]x - 4y = - 6 \\ \\ 4y = x + 6 \\ \\ y = \frac{x + 6}{4} [/tex]

Substitute " y " in equation (2)

[tex]2x + 3y = 10 \\ \\ 2x + 3( \frac{x + 6}{4} ) = 10 \\ \\ 2x +( \frac{3x + 18}{4} ) = 10 \\ \\ \\ \frac{8x + 3x + 18}{4} = 10 \\ \\ \\ 8x + 3x + 18 = 10 \times 4 \\ \\ 11x + 18 = 40 \\ \\ 11x = 40 - 18 \\ 11x = 22 \\ \\ x = \frac{22}{11} \\ \\ x = 2[/tex]

[tex]y = \frac{x + 6}{4} \\ \\ y = \frac{2 + 6}{4} \\ \\ y = \frac{8}{4} \\ \\ y = 2[/tex]

Answer:

240

Step-by-step explanation:

because adding the 45's 4 times then adding 60.

sorry if im wrong btw.

Given :

Solution:

hope it helped!

Answer:

Step-by-step explanation:

Given:

Find B + C - A:

A = [tex]3x² - 7x + 8[/tex]

B = [tex]x² + 8x - 3[/tex]

C = [tex]-5x²-3x + 2[/tex]

Lets find B + C - A :

→ [tex]B + C - A[/tex]

→ [tex]x² + 8x - 3+ (- 5x²-3x + 2)-(3x² - 7x + 8)[/tex]

→ [tex]x² + 8x - 3-5x² - 3x + 2-3x² + 7x - 8[/tex]

→[tex] (1-5-3)x² + (8 -3 + 7)x+ (-3 + 2 - 8)[/tex]

→ [tex]- 7x² + 12x - 9[/tex]

firstly let's convert the mixed fractions to improper fractions and then divide.

[tex]\stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} ~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\div \cfrac{21}{10}\implies \cfrac{12}{5}\cdot \cfrac{10}{21}\implies \cfrac{120}{105}\implies \cfrac{8}{7}\implies 1\frac{1}{7}[/tex]

Answer:

first make them improper fractions

2 2/5 = 12/5

2 1/10 = 21/10
now set them up

12/5 divided by 21/10

make 21/10 a reciprocal(flip the fraction upside down)  and multiply across

12/5 x 10/21 = 1.14 or 1 1/7

Answer:

Negative relationship

Step-by-step explanation:

It is going in a negative direction.

Pls mark brainliest :)

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{x^4\ \bullet \ x^{-7}}\\\\\mathsf{\rightarrow x\bullet x\bullet x\bullet x (\dfrac{1}{x\bullet x \bullet x \bullet x\bullet x \bullet x \bullet x})}\\\\\mathsf{\star \heartsuit \ - 7 = \bf -3 \ \star \heartsuit}\\\\\mathsf{\rightarrow \dfrac{1}{x\bullet x \bullet x}}\\\\\mathsf{\approx \dfrac{1}{x^3}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\dfrac{1}{x^3}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

D

Step-by-step explanation:

i already did the test

Answer:

d

Step-by-step explanation:

Answer:

[tex]\red{ m\angle B= 121\degree}\\\\\purple{AD=23\: units}[/tex]

Step-by-step explanation:

Quadrilateral ABCD is a parallelogram.

opposite angles of a parallelogram are equal in measure.

[tex]\implies (10x-19)\degree=(9x-5)\degree[/tex]

[tex]\implies 10x-19=9x-5[/tex]

[tex]\implies 10x-9x=19-5[/tex]

[tex]\implies x=14[/tex]

[tex]m\angle B= (9x-5)\degree[/tex]

[tex]\implies m\angle B= (9*14-5)\degree[/tex]

[tex]\implies m\angle B= (126-5)\degree[/tex]

[tex]\huge\implies m\angle B= 121\degree[/tex]

Opposite sides of a parallelogram are equal.

3y - 1 = y + 15

3y - y = 15 + 1

2y = 16

y = 16/2

y = 8

AD = 3y - 1 = 3*8 - 1 = 24 - 1

AD = 23

Answer:

x = 8

Step-by-step explanation:

12 : 36

1 : 3

the distance is 3×, so

x = 26 ÷ 3

= 8

Answer:

38

Step-by-step explanation:

[tex]46 - {2}^{4} \div (3 - 1) \\ 46 - 16 \div (2) \\ 46 - 8 \\ = 38[/tex]

first calculate whats in the brackets.

then divide

and lastly subtract

Answer:

y= 3/2x-1/2

Step-by-step explanation:

Answer:

3/2 or 1.5

Step-by-step explanation:

gradient = ∆y/∆x

∆y = 4 - 1 =3

∆x = 3 - 1 = 2

∆y/∆x = 3/2

Answer:

  D. II only

Step-by-step explanation:

The square root equations will each have only one real solution. (Sometimes, there is an extraneous solution if the variable is also found outside the radical.)

The rational equation will result in a quadratic when it is simplified. It will have two real solutions.

Only equation II will have two real solutions.

The amount of time it would take for the rock to hit the ground is 1.25 seconds.

Given the following data:

Scientific data:

To determine the amount of time it would take for the rock to hit the ground, we would apply the parabolic function:

Mathematically, the parabolic function is given by this formula:

[tex]h(t) = -16t^2 +ut+h_0[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]0 = -16t^2 +16t+5\\\\16t^2-16t-5=0\\\\(4t+1)(4t-5)=0[/tex]

Taking the positive value of t, we have:

[tex]4t-5-0\\\\4t=5\\\\t=\frac{5}{4}[/tex]

t = 1.25 seconds.

Read more on time here: brainly.com/question/24728358

Answer:

2/3

Step-by-step explanation:

Answer:

What is the length of the altitude drawn to the hypotenuse?, Corollary: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.

Furthermore, When an altitude is drawn to the hypotenuse of a given right triangle the new figure comprises two similar right triangles?, Theorem 62: The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Figure 2 shows the three right triangles created in Figure . They have been drawn in such a way that corresponding parts are easily recognized.

Finally,  When the altitude is drawn to the hypotenuse of a right triangle three similar triangles are formed?, The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other. Perpendicular lines are lines that intersect at a 90^{circ} angle.

Step-by-step explanation:

Answer:

63 papers total.

Step-by-step explanation:

3 piles, 21 papers a pile, 3*21 =63.

Answer:

63

Step-by-step explanation:

because 3x21 is 63

Percentage

100:50 x 20 = 40

Answer:

9 bags pf spinach, 6 bags of carrots

Step-by-step explanation:

x bags of spinach, y bags of carrots,

x + y = 15                 (1)

weight of spinach = 5 * x, weight of carrots = 7 * x

5x + 7y = 87           (2)

From (1) y = 15 - x

Sub it into (2):

5x + 7(15 - x) = 87

5x + 105 - 7x = 87

2x = 105 - 87 = 18

x = 9

y = 15 - x = 15 - 9 = 6

So 9 bags pf spinach, 6 bags of carrots.

Given :-

To Find :-

Solution :-

Here the area of the rectangle is 357cm² . As we know that the area of rectangle is ,

→ Area = length * breadth

On substituting the respective values ,

→ 357 cm² = 17cm * length

→ length = 357cm²/17cm

→ length = 21cm

Hence the length of the rectangle is 21cm.

I hope this helps.

Refer to the attachment!

Answer:

13/21

Step-by-step explanation:

65/105 = 13/21

Using linear function concepts, it is found that Christopher is correct.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, the function is:

[tex]d = 13h - 75[/tex]

Considering the description of the output d as the amount of money in a checking account and of the input h as the number of hours worked, we have that:

Hence, Christopher is correct.

You can learn more about linear function concepts at https://brainly.com/question/24808124

Solution:

The expression "a(b-c)" is an example of distributive property. To simplify it, simply multiply a by the terms inside the bracket.

Simplifying the distributive property.

Hence, the simplified expression is ab - ac.

We can use the distributive law to simplify it or factor it but more

[tex]\\ \tt\hookrightarrow a(b-c)[/tex]

[tex]\\ \tt\hookrightarrow a(b)-a(c)[/tex]

[tex]\\ \tt\hookrightarrow ab-ac[/tex]

Answer:

  61%

Step-by-step explanation:

Multiply the fraction by 100%.

  76/125 × 100% = (7600/125)% = 60.8% ≈ 61%

Answer:

0.75 lb potato salad = $2.22

Step-by-step explanation:

If 1 pound of potato salad = $2.96

Then 0.75 pounds of potato salad = 0.75 x 2.96 = 2.22