which expression is equivalent to 8(3z)​

Answer:

150

Step-by-step explanation:

To solve this problem, first start setting up the equation.

Start with bob first - this is the easiest. Let x = bob

To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24

Combine these parts:

x + (2x + 24)

Combined they have $150, so you would set the equation above equal to 150

x + (2x + 24) = 150

Combine like terms:

3x + 24 = 150

Solve the equation for x

3x   +   24   =   150

      -   24         -24

3x               =   126      isolate x by itself on one side of the equation

divide both sides by 3 to get x by itself

3x    =    126

3              3

x    =   42

Now that you have solved for x, you know the amount that bob has... $42

With this information you can substitute 42 for x in the equation that was created for susie

2x + 24   would now by (2*42) + 24  which is $108

So, the amount that bob has is $42 and susie has $108

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

Hope this helps!!!

Answer:

Unable to be determined.

Step-by-step explanation:

AA postulate : 2 corresponding angles that are congruent.

SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.

SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.

This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.

Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.

Therefore, we cannot determine if the triangles are similar or not.

Answer:

[tex]3\sqrt{2}[/tex]/2

Step-by-step explanation:

first we take the square root of the top and bottom:

[tex]\frac{\sqrt{72} }{\sqrt{16} }[/tex]

The denominator is 4. The numerator is harder to solve. To solve, we need to look at the factors of 72.

72= 8 * 9. This means that [tex]\sqrt{72} =\sqrt{8} *\sqrt{9} \\[/tex]

We know that the square root of 9 is 3, so now we have

[tex]\frac{3\sqrt{8} }{4}[/tex]

We're almost done!

Since 8= 2*4, and the square root of 4 is 2,

[tex]\frac{3*2*\sqrt{2}}{4}[/tex]

last, we simplify and get

[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Answer:

9g -5h - 8

Step-by-step explanation:

We first have to get everything out of the parentheses, so we take the negative that is surrounding the parentheses and apply it to the equation inside of it, giving us this: 5g - 2h - 3h - 8 + 4g

Then, all we need to do is simplify it into this expression: 9g -5h - 8

Answer:

9g-5h-8

Step-by-step explanation:

(5g-2h)-(3h+8-4g)

Opening the brackets

5g-2h-3h-8+4g

9g-5h-8

Answer:

x + gh = -11

Step-by-step explanation:

x + gh

= -3 + 4(-2)

= -3 + (-8)

= -11

Answer:

- 11

Step-by-step explanation:

= -3+4x-2

=-3+ (-8)

= -3-8

=-11

Answer:

x=10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

Answer:

C

Step-by-step explanation:

A shows the range of numbers greater than 1, not including 1 (the circle on the number 1 is empty, meaning 1 isn't included - when it's filled in then 1 is included).

B shows the range of numbers less than 1, not including 1.

C shows the range of numbers less than and including 1.

D shows the range of numbers greater than and including 1.

'≤' means 'less than or equal to'

We're looking for the range of numbers less than and including 1: C

Answer:

i'm doing the same question but i think it is a right triangle but in a different position.

Step-by-step explanation:

Answer:

30% i think so yea......

Answer:

68

Step-by-step explanation:

130% × Y = 88.40

Y = 88.40 ÷ 130%

Y = 68

Checking...

68 × 130% = 88.40

Sorry it so long to respond. I just learned how to calculate it myself.

Answer:

This net could form a Pyramid

will have 5 faces 5 points and 5 vertices

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

According to angles rule,

100° + x = 180° [linear pair]

=> x = 180°-100°

=> x = 80°(Ans)

Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

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Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Answer:

Pedro made 54 ounces of coffee in total.

Step-by-step explanation:

Identify what you know:

1) Pedro gave his friend 34 ounces of coffee.

2) There was 20 ounces of coffee left over after!

So, we need to add the amount of coffee that his friend had, to the amount that's left, to get the total amount that he made.

Let's make an equation, where x equals the total amount!

34 + 20 = x

OR

x - 34 - 20 = 0

Hope this helps!

Answer:

54

Step-by-step explanation:

34+20= 54 ounces of coffee

Step-by-step explanation:

In right angled triangle

Tan = opposite side / adjacent side

Opposite side = 7 inches

Adjacent side = 5 inches

Tan = 7/5

Trigonometric function is the ratio of the different sides of the triangle. The correct value of Tanθ is 7/5.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

We know that the value of the perpendicular height of the cone is 7 inches while the measurement of the base of the triangle is 5 inches, therefore, using Pythagoras theorem the third side of the triangle can be written as,

[tex]\rm(Slant\ Height)^2 = 7^2 + 5^2\\\\(Slant\ Height)^2 =49+25\\\\(Slant\ Height)= 8.6[/tex]

Now, the value of the trigonometric ratios can be written as,

[tex]\rm Sin \theta=\dfrac{7}{8.6}\\\\\\Cos \theta=\dfrac{5}{8.6}\\\\\\Tan \theta=\dfrac{7}{5}\\\\\\Cosec \theta=\dfrac{8.6}{7}\\\\\\Sec \theta=\dfrac{8.6}{5}\\\\\\Cot \theta=\dfrac{5}{7}\\\\\\[/tex]

Hence, the correct value of Tanθ is 7/5.

Learn more about Trigonometric functions:

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Answer:

the area of square is 2^(8/9) sq. inches.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because I multiplied 4 times 3.

Answer:

1/12

Step-by-step explanation:

3 / 1/4=1/12 another way to find the answer is to do 3/1 x4/1 u will get the same answer :)

and part b is b

Answer:

55.26

Step-by-step explanation:

Divide 50 by 9.5 to get the amount the tool will be taxed.

5.26

Add 50 to that to get the total

55.26

The tax rate charge on the tool that is worth 9.5% is $4.75. The total amount paid for the tool is $54.75

The tax rate charge on a piece of equipment follows a standard rate by tax charges organization in that geographical region.

Given that:

= 9.5% × $50

= 0.095 × 50

= $4.75

The total amount paid for the tool is = $4.75 + $50 = $54.75

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Answer:

v = 10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Answer:

v = 10

Step-by-step explanation:

8(v +1) = 88

8v + 8 = 88 (Distribute)

   - 8     - 8   (Subtract)

8v = 80  (Divide)

v = 10

Hope this helps :)

Answer:

(1/2) {ad - cb}  both expressions

Step-by-step explanation:

Notice that the area of the triangle in question can be calculated as the area of the larger right angle triangle OSQ MINUS the area of the smaller right angle triangle OPR, and MINUS the area of the trapezoid RSQP.

Given the coordinates of the given points, the formulas for area of triangles and of trapezoid, we have the following area subtractions:

1/2 (a + c) (b +d) - 1/2  a* b - 1/2  c (b + b + d)=

= (1/2) { ab + ad + cb + cd - ab - 2 cb -cd } =

= (1/2) {ad - cb}

On the other hand the matrix expression is giving you 1/2 of the determinant of the given matrix  such determinant is: ad - cb

Then we see that the equality is correct since (1/2) of the determinant is also :

(1/2) {ad - cb}

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

173 divided by 3 =57.6666667. So i estimated it to 60

Answer:

c = -8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = -8

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

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