you spin the spinner below once: what is the P(getting a number less than 5)?

Answer:

1. T = -5 2. X = 12 3. X = 60

Step-by-step explanation:

5t + 17 = 4(t + 3)

1. Distribute 4

5t + 17 = 4t + 12

2. Isolate the variable

t + 17 = 12

t = -5

1/2x + 1/3x = 10

1. Remove fractions by multiplying the equation by 6

3x + 2x = 60

2. Combine like terms

5x = 60

3. Divide by coefficient

x = 12

1/4x + 2/5x = 39

1. Remove fractions by multiplying by 20

5x + 8x = 780

2. Combine like terms

13x = 780

3. Divide by coefficient

x = 60

Answer:

5 bugs

Step-by-step explanation:

You would use subtraction to find the difference: 17 - 12 = 5

2 L + 2 W = 580

W = L - 30

2( L - 30) + 2 L =580

2L - 60 + 2 L =580

4 L = 640

L = 160

W = 160-30= 130

160 × 2 + 130 × 2 = 580

Given:

In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.

To find:

The value of cos(M).

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Draw a diagram using the given information.

In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,

[tex]\cos (M)=\dfrac{MN}{MO}[/tex]

Therefore, the correct option is B.

Answer:

it is b

Step-by-step explanation:

Answer:

2(4+7) = 2×4 + 2×7 = 8 + 14 = 22

Step-by-step explanation:

Answer:

4 1/4

Step-by-step explanation:

divide 255 by 60

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Answer:

At 1.5 seconds and 2.5 seconds

Step-by-step explanation:

Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.

Set that equal to 0 and factor to solve for t:

Using the quadratic formula, we get t = 1.5 and t = 2.5

The height of the object after 1 second is 229 feet.

It is required to find the height of the object after 1 second.

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

Given:

The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,

where

v is the initial vertical velocity (in feet per second),

s, is the initial height of the object (in feet),

t is the time in seconds.

We are given;

v(o) = 45 ft/s

s(o) = 200 ft

According to given question we have,

Thus, polynomial that represents the height is;

h(t) = -16t² + vt+ s,

After a time of 1 second, height is;

h(1) = -16(1)² + 45*1+ 200

h(1) =-16+45+200

h(1) =229 feet

Therefore, the height of the object after 1 second is 229 feet.

Learn more about polynomial  here:

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9514 1404 393

Answer:

  (d)   y ≤ -7

Step-by-step explanation:

The solution is found by dividing by the coefficient of y. Since that is a negative number, the sense of the comparison is reversed.

  -8y ≥ 56

  (-8y)/(-8) ≤ 56/(-8)

  y ≤ -7

Answer:

10.44 feet

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.  

First we have to find the diagonal for the base.

6²+8²=x²

36+64=x²

100=x²

√100=x

x=10

Now we can find d.

10²+3²=x²

100+9=x²

109=x²

√109=x

x=10.44 feet

The table and graph that represents the equation y = 3x are:

Table A

Graph B.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

y = 3x

This means,

For x = 0, 1, 2, 3,

y = 0, 3, 6, 9

Now,

The coordinates on the graph of the equation y = 3x will have:

(0, 0), (1, 3), (2, 6), and (3, 9)

We see that,

Graph A has the coordinates:

(0,3).

This is not possible.

And,

Table B has y = 1 when x = 3.

This is not possible.

Thus,

The table and graph that represents the equation y = 3x are table A and graph B.

Learn more about equations here:

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Answer:

1/10

Step-by-step explanation:

First, you have to get common denominators, so we will use 10. She read 5/10 in the morning, so that is 5/10 of the book left. 2/5 = 4/10 left, so if you added those two numbers up, you only get 9/10. So this means that she read 1/10 at night. I hope this helps!

Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

Answer: 0.04

Step-by-step explanation:

11 gallons divided by 300 miles

11 /. 300 = 0.36666667

= 0.04

Answer:

Triangle C

Step-by-step explanation:

Given

Triangle A, B, C and D

Required

Pick the odd triangle

From the attachment, we can see that:

A = Right angled triangle

B = Right angled triangle

C = Obtuse triangle

D = Right angled triangle

This is so because triangle C has one of its angles to be greater than 90 (i.e. 115) and other triangles (A, B and D) have an angle equal to 90, each.

Because C is obtuse and others are right-angled, then C is the odd triangle.

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

hurray

Answer:

The answer is 3.

Step-by-step explanation:

Answer:

1. 27/9=3+9=12

2. 4+5x3=5x3=15+4=19

3. -9+-4=-13

4. 9--5=14

C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.

Answer:

Initial value

Step-by-step explanation:

Initial value never changes, whatsoever.

Slope is either a constant increase or decrease.

Unit rate, rate of change, and "per" all describe a rate at a certain point which is always fluctuating.

Answer:

Initial value

Step-by-step explanation:

The initial value is the y-intercept.

Answer:

20.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

u=6i-j

v=7i-4j

u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.

(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α

(6)(7)+(-1)(-4)=√37√65 cos α

42+4=√37√65  cos α

[tex]\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ[/tex]

Answer:

30 blocks

Step-by-step explanation:

60 minutes = 1 hour

For one hour, she will walk 7.5 blocks.

The rate is 7.5blocks per hour.

Multiply this by 4 hours, and you will get 30 blocks.

(7.5)4 = 30

Answer:

32.4

32.4 is 45% of 72

Step-by-step explanation:

Solution:

What is 45% of 72?

Y is 45% of 72

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 72

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 72

Y = 32.4

Answer:

Five sixths of a yard is 30 inches

Step-by-step explanation:

Answer:

C) (1, -3/2)

Step-by-step explanation:

the midpoint formula is the sum of the x-values divided by 2 followed by the sum of the y-values divided by 2

points: (1, 2) (1, -5)

[(1+1)/2, (2 + -5)/2]

(2/2, -3/2) or (1, -3/2)