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Answer:

answer:

[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]

[tex] \frac{29}{8} - \frac{17}{8} [/tex]

[tex] \frac{29-17}{8} [/tex]

[tex] \frac{12}{8} [/tex]

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

[tex] 1\frac{1}{2} [/tex]

is your answer.

Answer:

y = 4 1/2

x = 8 1/2

Step-by-step explanation:

x + y = 13

x - y = 4

substitution method:  let x = 4+y

4+y + y = 13

2y = 9

y = 4 1/2

x = 8 1/2

Answer:

I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31

Step-by-step explanation:

If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31

So therefore 31 of the pencils are colored. Hope this helps!

Answer:

V = 9.75 cubic inches.

Step-by-step explanation:

Given the following data;

Length = 2 inches

Width = 3¼ inches

Height = 1½ inches

To find the volume of rectangular prism;

Volume of rectangular prism = length * width * height

V = 2 * 3¼ * 1½

V = 2 * 13/4 * 3/2

V = 2 * 39/8

V = 2 * 4.875

V = 9.75 cubic inches

Let the larger number be x

The smaller number would be 1/5x

X - 1/5x = 132

Simplify:

4/5x = 132

Divide both sides by 4/5:

X = 165

1/5x = 1/5(165) = 33

The numbers are 165 and 32

Answer:

Yes, we can

Step-by-step explanation:

H0 : μ = 9.75

H1 : μ > 9.75

n = 25 ; xbar = 9.85 ; σ = 0.27

The test statistic:

T = (xbar - μ) ÷ (σ / √n)

T = (9.85 -9.75) ÷ (0.27 ÷ √25)

T = 0.1 ÷ 0.054

T = 1.85

We can obtain the Pvalue from the test statistic using the Pvalue calculator :

Pvalue at t score = 1.85 ; 24 = 0.038

If Pvalue < α ; Reject H0

α = 0.05

Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box

Answer:

16 × 2 × 2

Step-by-step explanation:

64 = 2 × 2 × 2 × 2 × 2 × 2

=> 16 × 2 × 2

Answer:

t = 18 minutes.

Step-by-step explanation:

We can find the time by using the following kinematic equation:

[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]  

[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]  

Where:  

Δy: is the difference between the initial and the final height = 50.4 m

t: is the time  

a: is the acceleration

v₀: is the velocity of the drill = 2.8 m/min

Since the speed of perforation is constant, the acceleration is zero so:

[tex]\Delta y = v_{0}t[/tex]    

Then, by solving the above equation for "t" we have:

[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]

Therefore, it takes 18 minutes to drill the hole.  

I hope it helps you!    

Answer:

$420t

Step-by-step explanation:

Given data

Principal= $7000

Rate= 6%

Time= t years

The expression for the amount is

Simple interest= PRT/100

Sustitute

Simple interest= 7000*6*t/100

Simple interest= 42000t/100

Simple interest= 420t

Hence the amount after t years is $420t

Answer:

B)

Step-by-step explanation:

4y = 3x + 5 has a slope of 3/4

4y = 3x - 1 has a slope of 3/4

parallel lines have equal slopes

The equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.

To find an equation of a straight line that is parallel to the given line 4y = 3x + 5, we need to identify the equation that has the same slope as the given line

The given line is in the form 4y = 3x + 5. We can rewrite this equation in slope-intercept form (y = mx + b) by dividing both sides by 4:

y = (3/4)x + 5/4.

The slope of the given line is (3/4).

To find a parallel line, we need to choose an equation with the same slope of (3/4). Among the options provided:

A. y = 3x + 5 - The slope of this line is 3, not (3/4), so it is not parallel.

B. 4y = 3x - 1 - This line has a slope of (3/4), making it parallel to the given line.

C. 3y = 4x - 3 - The slope of this line is (4/3), not (3/4), so it is not parallel.

D. 4y = x + 5 - The slope of this line is (1/4), not (3/4), so it is not parallel.

Therefore, the equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.

To know more about parallel click here :

https://brainly.com/question/28740695

#SPJ2

Answer:

A because its a complementary angle which has a angle which us added to 90 and a plus c =complementary

Answer:

Answer A is incorrect

Step-by-step explanation:

Just took the test

C is a vertical angle which the vertical side is corresponding to the vertical side of x°.

105°+54°+y°=180°

159°+y°=180°

y°=21°

Meaning, x=21°.

relationship between v and x is C:Consecutive interior angles

Answer:

Point C

Point A is located at (3, 2)

Point B is located at (2, 2)

Point C is located at (2, 3)

Point D is located at (3, 3)

Answer:

Rectangle.

Step-by-step explanation:

It has 4 sides.

Answer:

It is a Wedge

Step-by-step explanation:

Because if you were to compare it to a rectangle which it look like it is a 3D figure and it gets slightly skinnier at the top so it is indeed a wedge

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

key ans lang yan sana makatulong HAHAHA

Answer:

k = -5

Step-by-step explanation:

Direct variation formula:

y = kx

Given:

x = 2

y = -10

Work:

y = kx

-10 = 2k

k = (-10)/2

k = -5

Answer: Midpoint: (2, 1)

Step-by-step explanation:

Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)

(-4 + 8)/2 = 2

(-8 + 10)/2 = 1

Answer: (2, 1)

Answer:

1) number of boys in school is 48 [ Could be true ]

2) fraction of the boys in the school is = 6/6+7= 6/13 [False]

3) fraction of girls in school is 7/6+7=7/13 [Definitely true]

[tex]---------------[/tex]

hope it helps...

have a great day!!!

Answer:

y-2=5/3x

y-2/5=3x

Step-by-step explanation:

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

Answer:

a)

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b)

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Step-by-step explanation:

Given

The total number of opportunities to employees for transfer = 500

Company currently has  100 managers, 200 factory workers, and 400 miscellaneous staff

a) All the managers will be offered the opportunity

[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]

b) You will be offered the opportunity

[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]

Answer:

2,000

Step-by-step explanation:

125 x 16  = 2000

Answer:

The answer should be D) 4x^ + x + 3

Answer:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

Step-by-step explanation:

we want to figure out the equation of a sine function that has the following characteristics.

the standard form of sine function is given by

[tex] \displaystyle y = a\sin(bx-c)+d[/tex]

where:

Finding a and phase shift:

a and c is simply given which is

finding b:

using the equation we acquire:

[tex]\dfrac{2\pi}{b}=9\pi[/tex]

solving the equation for b,we obtain:

b=2/9

finding d:

Since d Isn't mentioned, we would assume it 0

finding the equation:

substitute what we got:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

and we're done!