Acollus
Find the value of x that makes All B.
2
4
5
Z1 = 3x - 160 and 24 = x + 20
x = [?]

Answer:

x = a(c + b)

Step-by-step explanation:

Step 1: Add b to both sides

x/a = c + b

Step 2: Multiply both sides by a

x = a(c + b)

Answer:

100 degrees

Answer above is correct

180-80=100

The measure of the other supplementary angle is 100 degrees.

A supplementary angle are angles that add up to 180 degrees. For example 150 and 30 degrees are supplementary angles. This is because the sum of 150 and 30 degrees is 180 degrees.

In order to determine the valueof angle b, subtract 80 from 180.

Measure of angle b = 180 - 80 = 100

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Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

y=2x²-8x+6

x- intercept when y=0

Answer:

(1, 0) / (3, 0)

Step-by-step explanation:

Answer

Step-by-step explanation:

Materials

Water Bottles or Pop Bottles

Glow Sticks

Foam Sheets

Pipe Cleaners

Googly Eyes

Tissue Paper

Mod Podge

Hot Glue Gun

Instructions

Cut your tissue paper into strips and brush a layer of Mod Podge onto the center of your bottle.

Put the tissue paper strips onto the Mod Podge, wrapping it around the bottle. Brush on another layer of Mod Podge.

Once it's dry, wrap three pipe cleaners around the bottle and twist to form legs.

Cut 2 wings out of the foam and glue it to the top.

Place your glow stick inside the bottle.

Attach your googly eyes and twist another pipe cleaner around the neck of the bottle to form the antenna.

Answer:

a. They both have strong positive correlation.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the test and did calculations. 100% correct

Answer:

C

Step-by-step explanation:

Using the rule of radicals/ exponents

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C

Answer:

The estimated answer would be 9

Step-by-step explanation:

The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.

Answer:

1/2

Step-by-step explanation:

Here you utilize the formula of slope which is  m  = y2-y1/x2 -x1

(-1,5) (1,6)

(x1, y1) ( x2, y2)

m = ( 6-5)/ (1-(-1))

= 1/(1+1)

= 1/2

Answer:

1/2

Step-by-step explanation:

Answer:

12 in²

Step-by-step explanation:

The area of a triangle is base × height × 1/2.

b × h × 1/2

6 × 4 × 1/2

24 × 1/2

= 12

The area is 12 in².

Answer:

Solution,

Base(b)=6 inches

Height(h)=4 inches

Area of triangle=?

Now,

[tex]area \: of \: triangle \\ = \frac{bh}{2} \\ = \frac{6 \times 4}{2} \\ = \frac{24}{2} \\ = 12 \: {inches}^{2} [/tex]

hope this helps ..

Good luck on your assignment...

Answer:

Part A:

Equation for Company A:

x = Number of days renting a car

35x + 15

Equation for Company B:

x = Number of days renting a car

42x + 10

Part B:

Company A will charge $ 37 less than Company B

Part C:

Company A will charge $ 65 less than Company B

Step-by-step explanation:

Part A:

Equation for Company A:

x = Number of days renting a car

35x + 15

Equation for Company B:

x = Number of days renting a car

42x + 10

Part B:

Renting a car for 6 days

Company A:

35 * 6 + 15 = 210 + 15 = $ 225

Company B:

42 * 6 + 10 = 252 + 10 = $ 262

Company A will charge $ 37 less than Company B

Part C:

Renting a car for 10 days

Company A:

35 * 10 + 15 = 350 + 15 = $ 365

Company B:

42 * 10 + 10 = 420 + 10 = $ 430

Company A will charge $ 65 less than Company B

Answer:

The answer is "Option A"

Step-by-step explanation:

Given:

[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]

solve the above equation:

[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]

add both value (x and y):

[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]

average of x and y:

[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]

Answer:

Area of a circle is πr²

where r is the radius

r = 7.29m

Area = π × 7.29²

= 166.957

= 166.96m² to 2 decimal places

Hope this helps you

Answer:

1) Distributive Property of Multiplication (The terms are distributed)

2) Addition property of equality (Adding 14 to both sides)

3) Simplifying (We simplified the expression)

4) Division property of equality (Dividing both sides by 6)

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

- 14 + 6m = 10

Distributive Property of Multiplication

2 is distributed to -7 and 3m

- 14 + 14 + 6m = 10 + 14

Addition Property of Equality

Adding 14 to both sides.

6m = 24

Simplifying

Simplifying the equation.

[tex]\displaystyle \frac{6m}{6} =\frac{24}{6}[/tex]

Division Property of Equality

Dividing both sides by 6.

Answer:

They are congruent because angle 1 &3 are alternate interior angles.

Step-by-step explanation:

Answer:  8.94 is the length of GI

Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.

the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20

4/x = x/20  multiply both sides by x and 20 to "cancel" the denominators.

20x(4/x) = 20x(x/20)

80 = x²    Calculate the square roots  

√x² = x . √80 = 8.94

Answer:

53.96

Step-by-step explanation:

21.5 times 2.51 is 53.965

53.965 to 2 decimal points is 53.96

Answer:

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

well we use the distance formula

[tex]\sqrt{(4^{2}+(-4)^2 )+(3^2+(-3)^2)}\\ =\sqrt{32+18} \\=\sqrt{50}\\ =5\sqrt{2}[/tex]

so that's the length of the radius

The length of the radius of a circle whose center is at (3,4) and passes through (-3,-4) is given by 10 units.

Radius of circle is the fixed distance between center and any point lies on the circumference of the circle.

Two distance between two points (a,b) and (c,d) is given by [tex]=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Here in the given problen we have to find the length of the radius of a circle whose center is at the point (3,4) and passes through the point (-3,-4).

So basically we have to find the length between the points (3,4) and (-3,-4).

The radius of circle is given by

[tex]=\sqrt{(-3-3)^2+(-4-4)^2}[/tex]

[tex]=\sqrt{(-6)^2+(-8)^2}[/tex]

[tex]=\sqrt{36+64}=\sqrt{100}=10[/tex]

Hence the length of the radius of the circle is given by 10 units.

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Answer:

9x + 8.

Step-by-step explanation:

2(x - 3) + 7(x + 2)

= 2x - 6 + 7x + 14

= 2x + 7x - 6 + 14

= 9x + 8.

Hope this helps!

Answer:

30 cubes are added

Step-by-step explanation:

The image of the solid shape is attached.

From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.

30 cubes are added

The number of cubes that are added is 30.

What is Cube?

A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.

From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid

= 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added

= 48 cubes - 18 cubes

= 30 cubes.

30 cubes are added.

Hence, The number of cubes that are added is 30.

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Answer:

the value of n will be the range

Step-by-step explanation:

lets just give an example of (9,n) and you had to find the value its actually simple

9 is the domain

n is the range

a part of ordered pair function

got it?

Answer:

4=x

Step-by-step explanation:

1.5(x + 4) – 3 = 4.5(x – 2)   distribute

1.5x+6-3 = 4.5x-9                   subtract 1.5x from each side

3=3x-9                                 add 9 to both sides

12=3x                                    divide by on both sides

4=x                                        simplify

Answer:

x=4

Step-by-step explanation

Answer:

(D)  [tex]\dfrac{27}{16}[/tex]

Step-by-step explanation:

Volume of a Cylinder =[tex]\pi r^2h[/tex]

Cylinder A

Height = 3 Units

Radius = 3 Units

[tex]Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units[/tex]

Cylinder B

Height = 4 Units

Radius = 2 Units

[tex]Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units[/tex]

[tex]\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}[/tex]

The correct option is D

Answer:

Step-by-step explanation:

Let the three numbers be a-d, a, a+d being a series in AP.

The sum of the three numbers is 24 = a-d+ a+ a+d = 3a

Thus a = 8.

Now a-d-1, a-2, a+d form a GP. It means, the common ratios should be equal or the middle term should be the Geometric Mean of the first and third terms, or

(a-d-1)(a+d) = (a-2)^2 or

(8-d-1)(8+d) = (8-2)^2, or

(7-d)(8+d) = 36, or

56 -8d +7d -d^2 = 36, or

56 -8d +7d -d^2 - 36 = 0, or

d^2 +d -20 = 0

(d+5)(d-4) = 0

Thus d = -5 or 4

So the AP is 13,8,3 or 4,8,12

Check: 13,8,3 in AP becomes (13–1), (8–2), 3 = 12, 6, 3 which is a GP with r = (1/2)

4,8,12 in AP becomes (4–1), (8–2), 12 = 3, 6, 12 which is a GP with r =2

Answer:

32

Step-by-step explanation:

tanx=opp/adj.=40/64=5/8=0.625

find tan^-1= 32 degrees

Answer:

A. 32°

Step-by-step explanation:

[tex] \tan \: x \degree = \frac{40}{64} \\ \\ \tan \: x \degree = \frac{5}{8} \\ \\ \tan \: x \degree =0.625 \\ x \degree = {\tan}^{ - 1}( 0.625) \\ \\ x \degree =32.005383208 \degree \\ \\ \huge \red { \boxed{ x =32 \degree}}[/tex]

Answer:

(-6, 0) and (2, 0)

Step-by-step explanation:

To find the x-intercepts, we can factor the expression:

f(x) = x² + 4x - 12

2 factors of -12 that add up to 4 are 6 and -2

(x + 6)(x - 2)

Set each factor equal to 0 and solve for x:

x + 6 = 0

x = -6

x - 2 = 0

x = 2

So, the x intercepts are (-6, 0) and (2, 0)

Answer:

It's the first option, (-6, 0) (2, 0)

Step-by-step explanation:

100% on Edge

Answer:

5 units apart.

Step-by-step explanation:

You can figure this out by:

a- You can count the squares in between the two points.

                                               OR

b- You would find the absolute value of both the x  values and add them together to see the overall length from each other that they are.

So when you complete either one of these tactics you would get an answer of  5 units apart.

Answer:

The answer is below

Step-by-step explanation:

From the diagram attached, to find the length of side AB, we need to use Pythagoras theorem on the right triangles. We can see that AB is the base of the two right triangle.

For the first right triangle with hypotenuse of 13 and height of 12, let x be the base, therefore using hypotenuse:

13² = 12² + x²

169 = 144 + x²

x² = 169 - 144

x² = 25

x = √25 = 5

For the second right triangle with hypotenuse of 15 and height of 12, let y be the base, therefore using hypotenuse:

15² = 12² + y²

225 = 144 + y²

y² = 225 - 144

y² = 81

y = √81 = 9

The length of AB = x + y = 9 + 5 = 14 unit

Since for a square all the sides are equal, therefore the length of each side of the square ABCD is 14 units.

In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit. Using Pythagoras:

AC² = AD² + DC²

AC² = 14² + 14²

AC² = 196 + 196 = 392

AC = √392 = 19.8

The length of its diagonal is about 19.8 units

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Step-by-step explanation:

You can find the amount of students each vehicle can carry by representing the two scenarios in equations.

You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.

High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.

High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.

Now, represent these in equations:

[tex]v+6b = 372\\4v + 12b = 780[/tex]

We can use substitution to solve this system:

[tex]v + 6b = 372[/tex] can be rewritten as [tex]v = 372 - 6b[/tex] after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

[tex]4(372-6b) + 12b = 780\\1488 - 24b + 12b = 780\\1488 - 12b = 780\\-12b = -708\\b = 59[/tex]

After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

[tex]v + 6(59) = 372\\v + 354 = 372\\v = 18[/tex]

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Answer:

             Van: 18,  Bus: 59

Step-by-step explanation:

b   - number of students that bus can carry

v   - number of students that van can carry

6•b + 1•v = 372     -  students from A

6b + v = 372    ⇒  v = 372 - 6b

12•b + 4•v = 780     -   students from B

12b + 4(372 - 6b) = 780

12b + 1488 - 24b = 780

- 12x = - 708

   b = 59    

v = 372 - 6•59 = 372 - 354 = 18

Answer: C

Step-by-step explanation:

i just took a test

Answer:Answer:

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Number of packages = 10

Total batteries = 72

For AA:

batteries per package = 6

Let number of packages = x

For AAA:

batteries per package = 8

Let number of packages = y

Number of AA packages + number of AAA packages = 10

Sum of AA + sum of AAA equals 72 batteries

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Answer:

276

Step-by-step explanation:

∆y = 2y3

∆2 = 2(2)3 = 16

∆5 = 2(5)3 = 250

∆2 + ∆5 = 250 + 16 = 276