Translate the sentence into an inequality. Nine subtracted from the product of 4 and a number is greater than 17. Use the variable y for the unknown number

Answer:

The answer is below

Step-by-step explanation:

A function shows relationship between variables usually between inputs (an independent variable) and outputs (a dependent variable).

C(F) = 5/9(F - 32) shows the relationship between C and F. C(F) is the temperature in degree Celsius for any temperature in Fahrenheit. This means that the function C(F) represents the conversion of temperature from Fahrenheit to degree Celsius.

Answer:

b || c

Step-by-step explanation:

a can only be parallel to c is if c is parallel to either a or b as both a and b are parallel to each other. By the way || means that they are parallel lines.

Answer: mKLJ = 60ᴼ

Step-by-step explanation:

MLO and KLJ are vertical angles, which means their measures are congruent.

Answer:

m = -1/3

Step-by-step explanation:

First, write the equation in slope-intercept form:

3y = 10 - x

y = 10/3 - x/3

y = 10/3 - 1/3x

Since our slope is the coefficient of the x term, our slope is -1/3.

Answer:

The sum of exterior angles of a regular polygon are equal true that is equals to 360°

Step-by-step explanation:

i hope this will help you :)

Answer:

true

Step-by-step explanation:

The sum of exterior angles of a regular polygon are 360°

Answer:

Step-by-step explanation:

V=m/d

V=8.4g/(2g/cm³)=4.2cm³

V=4 π R³/3 ;  π≅3.14

R³ =3V/(4 π)=3*4.2cm³/(4*3.14)=12.6cm³/12.56 ≅ 1.0 cm³

=>R=∛(1.0 cm³) =1.0 cm

The radius of the spherical grape is 1.0 cm.

Density refers to the measurement of the amount of mass of a substance per unit of volume.

This measurement of a pure substance has the same value as its mass concentration. Densities vary with different materials or substances.

i.e., V=m/d

Given that, the mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.

V = 8.4g/(2g/cm³) = 4.2cm³

V = 4 π R³/3  

R³ =3V/(4 π) = 3*4.2cm³/(4*3.14)=12.6cm³/12.56 ≅ 1.0 cm³

R =1.0 cm

Hence the radius of the spherical grape is 1.0 cm.

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this is answer ok? ok :) leleelellelelelelelelel

Answer:

[-3, -3]

Step-by-step explanation:

Simply divide the matrices together and you should find your solution.

Answer:

78%

Step-by-step explanation:

Given the stem and leaf plot above, to find the median percentage for boys in the German test, first, write out the data set given in the stem and leaf diagram as follows:

40, 46, 46, 47, 69, 70, [78, 78,] 79, 82, 87, 90, 90, 95

The median value is the middle value in the data set. In this case, we have an even number of data set which are 14 in number.

The median for this data set would be the average of the 7th and 8th value = (78+78) ÷ 2 = 156/2 = 78

Median for boys = 78%

Answer:

Option D is the correct option.

Step-by-step explanation:

Domain means value of X. Just look on the horizontal axis. Here, X goes from -5 to 5.

Domain = [tex] - 5 \leqslant x \leqslant 5[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

No he is wrong

Step-by-step explanation:

Evan was not correct 125% means he over doubled his time doing homework. To double his time he would need 40 hours, and he only did 25.

Increase: 5 hrs

Percent of increase: 20%, because 5/25=20%

Answer:

Evans is correct.

Step-by-step explanation:

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.

We know that 125% of 20 hours (last week) = 25 hours, so Even IS correct.

Note that Increase or Decrease is relative to the ORIGINAL value, in this case is 20 hours.

Answer:

yes; by AA~

Step-by-step explanation:

The triangles are similar because vertical angles are congruent and alternate interior angles are both 39 degrees.

Answer:

a). B = 24 yd²

b). h = 8 yd

c). S.A. = 240 yd²

Step-by-step explanation:

Area of the triangular base B = [tex]\frac{1}{2}(\text{Base of the right triangle})(\text{height of the base triangle})[/tex]

= [tex]\frac{1}{2}(8)(6)[/tex]

= 24 yd²

Height of the prism 'h' = distance between the triangular bases

                                     = 8 yd

Perimeter of the triangular base = leg 1 + leg 2 + hypotenuse

                                                      = 8 + 6 + 10 = 24 yd

Surface area = 2B + Ph

                     = (2×24) + (24×8)

                     = 48 + 192

                     = 240 square yds

Answer:

b

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Since m∠2 is 40°, then the m∠1 is also 40°. With that, ∠1 and ∠5 are supplementary, so we have 180 - 40 = 140°

Answer:

140

Step-by-step explanation:

done it before and had teacher show me answer sheet

Answer:

11 / 5 as a mixed number is 2 1/5

Hope this helps you

Answer:

2⅕

Step-by-step explanation:

5x2=10

1 left over 1/5

Answer:

Step-by-step explanation:

-5(3m² + 7n²) + 8n²

Expand brackets.

-15m² + -35n² + 8n²

Combine like terms.

-15m² + -27n²

Answer:

[tex]\boxed{\red{= - 3(5 {m}^{2} + 9 {n}^{2} )}}[/tex]

Step-by-step explanation:

[tex] - 5(3 {m}^{2} + 7 {n}^{2} ) + 8 {n}^{2} \\ - 15 {m}^{2} - 35 {n}^{2} + 8 {n}^{2} \\ = - 15 {m}^{2} - 27 {n}^{2} \\ = - 3(5 {m}^{2} + 9 {n}^{2} )[/tex]

Answer:

5

Step-by-step explanation:

if u substitute the x's then u can see that it makes sense

ex. 5(1)+5 = 10 true

ex. 5(5)=5 = 30 true

hope this helps

Answer:

number of gallons of water the family will use every morning = 50  gallons

Step-by-step explanation:

Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of  5 minutes showering .

Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,

2.5 gallons  = 1 minutes

? gallons  =  5 minutes

cross multiply

number of gallons of  water each family member uses every morning = 2.5 × 5 = 12.5 gallons

They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50  gallons

Answer:

3.5

Step-by-step explanation:

63 divided by 18 is 3.5

35 divided by 10 is 3.5

Answer:

11%

Step-by-step explanation:

We need to fill the missing cells of the table first and are interested in first row for under age 15

1. 152- 65= 87 for the top left cell

2. 165- (87+60)= 18 for car column on same row

now we have number 18 and the total of the first row is 165:

So the first choice- 11% is the answer

Answer:

11% is the pecentage of students under the age of 15 that travel by car to school.

Answer:

AB =√( (13 - 5)² + (13-12)²) = √(8² + 1²) = √65

BC = √( (13 - 11)² + (13-5)²) = √(2² + 8²) = √68

AC =√( (11 - 5)² + (5-12)²) = √(6² + 7²) = √85

AB ≠ BC ≠ AC ∴ ABC is Scalene

Step-by-step explanation:

A scalene triangle is a triangle in which all the sides are different lengths.

In order to prove that ABC is scalene, we need to calculate the sidelengths and show them to be different.

The line between points A(x₁, y₁) and B(x₂, y₂) can be denoted AB.

the difference in x-coordinate is x₂ - x₁, and the difference in y-coordinates is y₂ - y₁.

this forms a triangle of length x₂ - x₁ and height y₂ - y₁ and the hypotenuse AB can be calculated using pythagoras' theorem:

AB = √((x₂ - x₁)² +(y₂ - y₁)²)

The triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given three vertices of triangle ABC are A(5, 12) B(13, 13) and C (11,5).

We know that in a scalene triangle all the three sides lengths are different.

Let us find distance of AB,BC, CA

Distance=√(x₂-x₁)²+(y₂-y₁)²

A(5,12), B(13, 13)

AB=√(13-5)²+(13-12)²

=√8²+1²=√64+1=√65

B(13, 13) C (11,5).

BC=√(11-13)²+(5-13)²

=√4+64=√68

C (11,5).A(5,12),

CA=√(5-11)²+(12-5)²

=√(-6)²+(7)²

=√36+49=√85

The lengths of triangle ABC are different so the triangle is Scalene.

Hence the triangle ABC with vertices A(5, 12) B(13, 13) and C (11,5) is a scalene triangle.

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Answer:

1 / (x² + 6x + 8)

Step-by-step explanation:

(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)

= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)

               ↑ factor x² + 5x + 6    ↑ factor x² - 16 using difference of squares

= 1 / (x + 2) * 1 / (x - 4)    ← x + 4 and x + 3 cancel

= 1 / (x + 2) * (x + 4) ← multiply

= 1 / (x² + 6x + 8) ← expand

Answer:

3*(x-2)

Step-by-step explanation:

You should notice that : YW=YB+BW

              = 3x-6

              = 3*(x-2)

If YB is x+3 units long and BW is 2x-9 then the length of YW will be 3(x-2) units long.

A parallelogram is a shape in which opposite sides are parallel to each other.

From the figure we can see that the diagonal YW=YB+BW

YB=x+3

BW=2x-9

YW=x+3+2x-9

YW=3x-6

YW=3(x-2)

Hence the length of YW will be 3(x-2) if YB=x+3, BW=2x-9.

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Answer:

The two possible solutions are x = 7, or x = -2

which agree with answer a) in the list of options

Step-by-step explanation:

Start by moving all terms to one side of the equal sign, and then factoring out the constant term:

[tex]x^2-5x-14=0[/tex]

The constant term  "-14" has ossible factors: (-1), (1) (-2), (2), (-7), (7), (-14), (14) and we look for a pair whose combining results in "-5" (the coefficient of the middle term. We find (-7) and (2) the appropriate factors, so we use then to split the middle term and then factor by grouping:

[tex]x^2-5x-14=0\\x^2-7\,x+2\,x-14=0\\x(x-7)+2(x-7)=0\\(x-7)\,(x+2) = 0[/tex]

Then if the product of these two binomial factors is zero, it means that the first binomial is zero, or the second one is zero. That is:

( x - 7 ) = 0  which means x = 7

or

( x + 2 ) = 0   which means  x = -2

So the two possible solutions are x = 7, or x = -2

Answer:

Step-by-step explanation:

[tex]x^2-5x=14\\\\x^2-5x-14=0\\\\x^2+2x-7x-14=0\\\\x(x+2)-7(x+2)=0\\\\(x+2)(x-7)=0\\\\x+2=0\quad\vee\quad x-7=0\\\\x=-2\quad\vee\quad x=7[/tex]

Answer:

Δ ABC is right angled

Step-by-step explanation:

If the triangle is right then the longest side squared will equal the sum of the squares on the other 2 sides.

longest side = 65, then

65² = 4225

16² + 63² = 256 + 3969 = 4225

Since 65² = 16² + 63² then Δ ABC is right

Answer:

We can know if it is a right angled triangle by using the Pythagoras theorem ( a²+b²=c²)

Step-by-step explanation:

To identify, we can take the largest length of the triangle as hypotanuse( that is, AC:65) And the rest as base and perpendicular ( 63 and 16 cm)

By applying Pythagoras theorem,

AB²+BC²= AC² ; (63)²+(16)²= (65)²

63² is 3969, 16² is 256… 65² is 4225.

Now, if 63²+16²:65²… then the triangle mentioned is a right angled triangle.

3969+256=4225

LHS = RHS, So, triangle ABC is a right angled triangle as it satisfies the condition of Pythagoras theorem.

Answer:

22 degree represents the angle of elevation,x.

Answer:

solution,

[tex]tan \: x = \frac{ab}{bc} \\ tan \: x = \frac{11.3}{28} \\ x = {tan}^{ - 1} ( \frac{11.3}{28} ) \\ x = {tan}^{ - 1} (0.40) \\ x = 38 \: degree[/tex]

please see the attached picture..

Hope this helps..

Good luck on your assignment..

Answer:

В. 270°cw rotation about the origin

Step-by-step explanation:

We can rotate a total of 360 degrees in a circular pattern.

If we rotate x degrees in one direction, this rotation is equivalent to rotating (360 - x) in the other direction, because we would arrive in the same place.

So if we rotate 90 degrees in the counter clockwise direction, this is equivalent to rotating (360 - 90) = 270 degrees in the opposite direction, that is, in the clockwise direction.

So the correct option is B. -> 270°cw rotation about the origin.

Answer:

22%.

Step-by-step explanation:

7/25 = 28%

0.09 = 9%

2/5 = 40%

29% + 9% + 40% = 78%

100% - 78% = 22%

And you have your answer. Hope this helped.

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

Answer:

0.96

Step-by-step explanation:

The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.

The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.

Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.