Solve for x


thank you

Answer:

y = 7

x=3

z=3

Step-by-step explanation:

we have, 5y +5=40

5y = 40 - 5

5y=35

y= 35/5

x=7

and, x + 10 = 13

x=13-10

x=3

10z-3 = 27

10z = 27 +3

10z = 30

z= 30/10

z = 3

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The product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,

[tex]-81t^2+16[/tex]

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

[tex]p=a\times b[/tex]

Here, (a, b) are the real numbers.

The binomial given in the problem are,

[tex](9t-4)\\(-9t-4)[/tex]

Let the product of the above function is p. Thus,

[tex]p=(9t-4)\times(-9t-4)[/tex]

To find the product of these two binomials, multiply the first term of first binomial with both the terms of the second binomial.

Similarly, multiply the second term of first binomial with both the terms of second binomial. Thus,

[tex]p=9t(-9t-4)-4(-9t-4)\\p=-81t^2-36t+36t+16\\p=-81t^2+16[/tex]

Thus, the product of the provided binomial numbers (9 t minus 4)(negative 9 t minus 4) is equal to the option B which is,

[tex]-81t^2+16[/tex]

Learn more about the product of two numbers here;

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Answer: B

Step-by-step explanation:

Step-by-step explanation:

6(x - 2) = 3 - 9x

6x - 12 = 3 - 9x

-12 = 3 - 15x

-15 = - 15x

x = 1

Answer:

A

Step-by-step explanation:

15x = 960

so,

x = 960/15 = 64

they sold 64 sweatshirts.

the answers C and D are outright nonsense for this question. we are not dealing with inequalities or intervals, we have one point of solution for the problem : x = 64.

on the provided scales only A can be the right answer.

Hey there!

CHOICE A. j = 4

6j - 3

= 6(4) - 3

= 24 - 3

= 21

Thus, the answer is: 21

CHOICE B. b = 3

b(b) + 5

= 3(3) + 5

= 9 + 5

= 14

Thus, the answer is: 9

CHOICE C. k = 3.5

8 + 4k

= 8 + 4(3.5)

= 8 + 14

= 22

Thus, your answer is: 22

All you had to do was substitute the values of the letters into the equation to find your answer.

For 64 - 3 you have to START at 64 and go BACK 3 spaces DOWNWARD (also known as to the LEFT of the number line) and you should be STOPPED on 61. So, 64 - 3 would most likely be: 61

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

0.65 liters

Step-by-step explanation:

Step-by-step explanation:

milliliters change to liters

So,Gracie's bottle hold is 0.65 liters

Answer:

-1

Step-by-step explanation:

1/4 * 2 = 0.5

0.5 - 1.5 = -1

Answer:

3/4

Step-by-step explanation:

subtract 2 1/4 by 1 1/2 by turning them into improper fractions

9/4 and 3/2

then convert both denominators to 4

9/4 and 6/4

subtract 9 by 6 and u get 3

9/4-6/4=3/4

Answer:

A

Step-by-step explanation:

First, multiple 3 by 44 to find the number of pencils total. 3x44=132.

Then, divide 22 into 132. 132/22=6.

Therefore, each student received 6 pencils.

ture

Step-by-step explanation:

the position would be not possible if for not for both

Answer:

363-138=-5x

Step-by-step explanation:

Let c = cost

We know that the total cost is $363:

363-??????

We also know that he spent $138 on parts:

363-138?????

And we are solving for the cost of labor per hour:

363-138=5x

We can use this equation to find the total cost of labor per hour.

Hence, your equation will be 363-138=5x

The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

A factor of n is a number which when multiplied by another number gives us the number n.

In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,

[tex]6x^3-12x^2+7x - 14 \\\\[/tex]

Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as

[tex]6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)[/tex]

Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).

Learn more about Factors:

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Answer:

A

Step-by-step explanation:

Answer:

m=21

Step-by-step explanation:

Each side has the same length.

63/3=21

Answer:

[tex]m=\frac{5}{2}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:7\right)[/tex]

[tex]m=\frac{7-2}{6-4}[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]m=\frac{5}{2}[/tex]

Answer:

cost of 1 kg of washing powder is $1.2

Step-by-step explanation:

9 kg = $10.80

cost for 1 kg =

Answer:

1.2

Step-by-step explanation:

How I would calculate it would be 10.80 divided by 9 or start timesing 1 with a decimal like 1.1 or 1.2.

but anyway 10.80 divided by 9=1.2 and if you just want to make sure then what is 1.2 x 9 it = 10.80

Here is my calculations for what is 1.20 x 9   

 1 . 20

       9

_________

 10   . 8 0  

Since there is no didget beside the 2 you would add a zero

since 9 x 2=18 you add a 1 for 1 x 9 =9 + 1=10 and there's your answer.

Answer=1.2

Hope this helps have a great day:)

The equations secx+cosecy = 2, and sinx+cosy=k are trigonometry equations

The result of [tex]\frac {3k}4[/tex] is [tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

The equations are given as:

secx+cosecy = 2, and sinx+cosy=k

Divide both equations

[tex]\frac{\sin(x) + \cos(y)}{\sec(x) + \csc(y)} = \frac k2[/tex]

Divide through by 2

[tex]\frac{\sin(x) + \cos(y)}{2[\sec(x) + \csc(y)]} = \frac k4[/tex]

Express sec and cosec as inverse ratios

[tex]\frac{\sin(x) + \cos(y)}{2[1/\cos(x) + 1/\sin(y)]} = \frac k4[/tex]

Take the LCM

[tex]\frac{\sin(y)\cos(x)[\sin(x) + \cos(y)]}{2[\cos(x) + \sin(y)]} = \frac k4[/tex]

Expand

[tex]\frac{\sin(y)\cos(x)\sin(x) + \sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac k4[/tex]

Multiply through by 3

[tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac {3k}4[/tex]

Rewrite as:

[tex]\frac {3k}4 =\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

Hence, the result of [tex]\frac {3k}4[/tex] is [tex]\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}[/tex]

Read more about trigonometry equations at:

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The total volume of the silo is 116.6 m³.

It is a solid where a hemisphere is kept on top of a cylinder sharing common circular bases.

Diameter of the cylinder of the silo= 4.4m

So, the radius r of the cylinder will be = 2.2m

The radius r of hemisphere = 2.2m (same as cylinder due to common circular bases)

Height h of the cylinder = 6.2m

The total volume of the silo will be the combined volume of the cylinder and hemisphere.

The volume of cylinder = [tex]\pi r^{2} h[/tex]

The volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

Total volume = [tex]\pi r^{2} h+ \frac{2}{3} \pi r^{3}[/tex]

total volume = [tex]\pi r^{2} (h+\frac{2}{3} r)[/tex]

Total volume = [tex]\pi *2.2^{2} (6.2+\frac{2}{3} *2.2)[/tex]

Total volume = 116.6 m³.

Therefore, the total volume of the silo is 116.6 m³.

To get more about solids visit:

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Answer:

116.6

Step-by-step explanation:

e2020

Answer:

The equation represents the function on the graph will be  Sin 2x

Given : Graph in diagram.

According to the given trigonometry function shape either of sine or cosine.

Here, it is intersecting at the origin it is likely a sine graph. A normal sine graph starts at Origin, crests out at 1 , and it crosses back down at the x-axis at (3.14, 0).

We knows this graph starts at origin and crosses back again at half that value. This graph is horizontally compressed on multiplying of a number maximum than 1.

Therefore, this graph is Sin 2x.

Learn more about Sine Functions here:brainly.com/question/17056821

Step-by-step explanation:

welcome

[tex]\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080[/tex]

[tex]\\ \rm\Rrightarrow 50x+75+28x+6x-3=1080[/tex]

[tex]\\ \rm\Rrightarrow 84x+72=1080[/tex]

[tex]\\ \rm\Rrightarrow 84x=1008[/tex]

[tex]\\ \rm\Rrightarrow x=1008/84[/tex]

[tex]\\ \rm\Rrightarrow x= 12[/tex]

Answer:

Arithmetic

Step by-step explanation:

Arithmetic definition:

the branch of mathematics dealing with the properties and manipulation of numbers

Answer:

The second one and the last one  

Answer:

The employee earned a total of $1004.40 dollars in commissions this week

Step-by-step explanation:

Times the number of televisions (36) by there cost ($620)

That will give you $22320

Then time $22320 by 0.045 which will give you $1004.40

Hope that helps

Answer:

D.

Step-by-step explanation:

To get the rectangle, multiply 10*3 = 30

Then to find both triangles, multiply 10*5=50

30+50=80

Let me know if this helped <3

Answer:

130 ft.

Step-by-step explanation:

the rectangle area is 30, cause l×h = area

triangle area is b×h and theres two so 5 x10 = 50 then multiply by 2 again so 100

then add both sums: 100+30 equalsssss 130.

Answer:

math po bayun

Step-by-step explanation:

anong grade

Answer:

9 yards

Step-by-step explanation:

from the maple-> end, it is 28 2/6 yards. that means we add the segments that are already there to find how much of 28 2/6 is there between the maple and oak.

11 3/6 + 7 5/6 = 19 1/3

28 2/6 - 19 1/3 = 9