Item 6
Graph the solution of 4(7−x)<16.

Answers

Answer 1

Answer:

x>3

Step-by-step explanation:

4 • (7 - x) -  16  < 0

3.1     Pull out like factors :

12 - 4x  =   -4 • (x - 3)

-4 • (x - 3)  < 0

4.1    Divide both sides by  -4

4.2      Add  3  to both sides

            x > 3

4.3      Inequality plot for

        -4.000 X  + 12.000  >  0


Related Questions

I need help with this problem

Answers

Answer:

6/5

Step-by-step explanation:

Students planted 2(3x + 4y) amount of trees on Saturday and then 3(x + 8) amount of trees on Sunday. What is the total amount of trees that the students planted? *

Answers

Answer:

(9x + 8y + 24) trees

Step-by-step explanation:

The total amount of trees the students planted is calculated as:

Amount of trees planted on Saturday + Amount of trees planted on Sunday

= 2(3x + 4y) + 3(x + 8)

= 6x + 8y + 3x + 24

= 6x + 3x + 8y + 24

= 9x + 8y + 24

Hence, the total amount of trees the students planted was (9x + 8y + 24) trees

Find the value of x in the isosceles triangle

Answers

Step-by-step explanation:

Since all 3 sides of the triangle is equal, it is not only an isosceles, but an equilateral triangle.

x = 8sin60° = 6.928 or sqrt48.

That is a question about triangles.

In my answer I will show 2 ways to solve that question, ok? Let's go.

First way - Pythagoras's theorem

The line segment x divide the biggest triangle in 2 equals right triangles.

Let's choose one of them and note that is a triangule with hypotenuse equals to 8 and one cathetus equals to half of 8.

The Pythagoras's theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

a is the hypotenuse and b and c are cathetus.

So, in our case, we know the hypotenuse and one cathetus, let's substitute that in the expression:

[tex]a^2 = b^2 + c^2\\8^2 = 4^4 + c^2\\64 = 16 + c^2\\c^2 = 64 - 16\\c^2 = 64 -16\\c^2 = 48\\c = \sqrt{48}\\c= 4\sqrt{3}[/tex]

Therefore, the value of x is [tex]4\sqrt{3}[/tex].

Second way - The equilateral triangle height

That way to solve the question is a consequence of the previous way.

That triangle has all the sides equals, so it is a equilateral triangle.The line segment x is the height of that triangle. And we can find the equilateral triangle height using that expression:

[tex]\boxed{h = \frac{S\cdot \sqrt{3} }{2} }[/tex]

h is the height and S is the triangle's side.

So, we know that the side of our triangle is 8. Let's change S value in the expression:

[tex]h = \frac{S\cdot \sqrt{3} }{2} \\h = \frac{8\cdot \sqrt{3} }{3} \\h = 4\sqrt{3}[/tex]

Thus, the value of x is [tex]4\sqrt{3}[/tex].

Note that in the 2 ways we find the same result, so that answer is correct.

I hope I've helped. :D

Enjoy your studies! \o/

Is 16 bigger than 16 11/16?

Answers

no because 16 11/16 is greater than 16

Please help me answer this

Answers

Answer: 7/8

10-2/12-4= 7/8

Step-by-step explanation:

Answer:

the answer might be number 3

Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP

Answers

Answer: always decreasing

Step-by-step explanation:

Since it goes down without going back up it is always decreasing

It’s always decreasing

A box without cover is to be constructed from a rectangular cardboard measuring 6 cm by 10 cm by cutting out four square corners of length x cm. Let V represent the volume of the box. Express the volume V of the box in terms of x, writing the equation in factored form.

Answers

Answer:

60xcm^3

Step-by-step explanation:

6 times 10 times x

60x

mark my qustions brainly pleaseeeeeeeeeeeeeeeeeeeee

Answers

Answer:

what do you mean

Step-by-step explanation:

ok...................

The ratio of boys to girls in Ella’s grade is 3 to 4. The ratio of boys to girls in Minh’s grade is 4 to 5. Each grade has a total of 20 girls.

How many boys are in each grade?

Answers

Answer:

12 boys

Step-by-step explanation:

I believe the answer is 12 boys. I hope this helps!

22 lb/day ≈ ____________ oz/h

Answers

Answer:

there are 16 ounces in a pound and 24 hours in a day.

22*16= 352oz/day

352/24 = 14.66666 oz/h

i would round up because it has the about symbol. so your answer is:

15 oz/h

Step-by-step explanation:

i multiplied 22 by 16 to find out how many ounces were in 22 pounds.

i divided 352 by 24 because there's 24 hours in a day and i needed how many ounces for one hour.

Answer:

122 oz a day is the aswer

what is the y-intercept for f(x)=x2-8x+15

Answers

Answer:

(0, 15)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

Step 1: Define

f(x) = x² - 8x + 15

Step 2: Find y-intercept

Substitute x = 0:                    f(0) = 0² - 8(0) + 15Exponents:                             f(0) = 0 - 8(0) + 15Multiply:                                 f(0) = 0 + 15Add:                                       f(0) = 15Rewrite:                                 (0, 15)

Shasta is going to her best friend's house for dinner. Her mother says she needs to be back in 2 and a half hours. If she leaves at 5:00 pm, what time will she be back?

Answers

Answer:

It would be 7:30 pm

Step-by-step explanation:

If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?

Answers

Answer:

angle a = 53.13°

angle b = 36.87°

angle c = 90°

Step-by-step explanation:

The following is one way to perform the calculation. It may not be the best way.

Calculates ∠A, ∠B, ∠C based on given a, b and c.

∠A = arccos(  b2 + c2 - a2 2bc )

= 0.9273 rad = 53.13° = 53.13°

∠B = arccos(a2 + c2 - b2 2ac )

= 0.6435 rad = 36.87° = 36.87°

∠C = arccos(a2 + b2 - c2 2ab )

= 1.5708 rad = π/2 = 90°

Donny has $40 saved in his savings account and wants to earn more. He begins babysitting for the neighbors and gets paid $15 per hour. He seves all of his earnings 150 136 120 a Create a graph to show his total money saved from when he started through 10 hours of babysitting money saved (dollars) b. What is the slope of the ine? 88888889 c. What does the slope meen in this situation? 5 6 7 8 9 üme babysitting (hours) d. At what point does the Ine cross the vertical () ats? e. What does the vertical intercept mean in this situaton?​

Answers

Answer:

a.) since he already has 40 in his savings account, start the line at (0,40) on the y-axis and then go up 15 every hour

b.) 15 or 15/1

c.) for each hour Donny spends working, the amount of money he has go up by 15

d.) (0,40)

e.) the vertical intercept or (y-intercept) is (0,40) because this is how much money Donny already has in savings

Please help I don’t understand

Answers

Answer:

Step-by-step explanation:

so many isosceles triangles

y = 4 .. just by inspection.. we can see

SOH CAH TOA    <= ask me about this if you don't get it

Cos(x) = Adj / Hyp

we don't know the Hyp this time so solve for that

Hyp = Adj / Cos(x)

Hyp = 4 / Cos(45)

Hyp = 4 / [tex]\sqrt{2}/2[/tex]

maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply

Hyp = 4 * 2/[tex]\sqrt{2}[/tex]

Hyp = 8/ [tex]\sqrt{2}[/tex]

also we are supposed to write as a decimal rounded to the nearest 10th

Hyp = 5.66

Someone please do this!

Answers

Answer:

£518.42

Step-by-step explanation:

518.42 I think that’s right

PLEASE HELP THANKS!!!

Answers

Answer:

235

Step-by-step explanation:

area of one square=

180

area of other square=

11 times 5 =55

55+180=235

please mark be as brainliest

Answer:

[tex]a=20cm\\b=14cm[/tex]

[tex]a_{1} =11cm\\a_{2}=a-a_{1} =20cm-11cm=9cm\\[/tex]

[tex]b_{1} =9cm\\b_{2}=b-b_{1}=14cm-9cm=5cm[/tex]

[tex]S=S_{1} +S_{2} =154cm^{2}+81cm^{2}=235cm^{2}\\S_{1}=a_{1} *b=11cm*14cm=154cm^{2} \\S_{2} =a_{2} *b_{1} =9cm*9cm=81cm^{2}[/tex]

[tex]S=235cm^{2}[/tex]

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°

Answers

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

need help asp pls The 8 students in Mrs. Howard's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered:
14, 11, 16, 10, 6, 5, 5, 7

Answers

Answer:

what's the question thougu

1.The entry tickets at a community fair cost $5 for children and $10 for adults. On a certain day 1000 people entered in the fair and \$7,100is collected. How many adults and how many children were at the fair?

Answers

Answer:

568 ADULTS

284 CHILDREN

Step-by-step explanation:

5C+10A=7100

A=2C

5C +10(2C)=7100

5C+20C=7100

25C=7100

C=284

A=2C

A=568

BRAINLIEST???

Kristin conducted an experiment in her science class to see how water drained from a contamer The given graph shows the data
that Kristin collected as a function of the height of the water over time

Krisin's two most accurately plotted points for the rate of flow of the water occurred when the height of the water was
fifty-five centimeters after four seconds and when the height was twenty centimeters after fourteen seconds
Use these two data points to determine the equation for the line of best fit for Krisin's experiment

Answers

Answer:

y = -3.5x + 69.

Step-by-step explanation:

Plz help it due In 20 mins

Answers

Answer:

Slope of line A= -1/3

B=-1

C= -5/4

Step-by-step explanation:

Use: slope m= y-y1/ x-x1

can I please have some help​

Answers

Step-by-step explanation:

6.-3

8.-36

10.11

make it braintliest please

Answer:

6) q = -3

8) d = -4

10) y = 10

Step-by-step explanation:

6) -7q = 21

divide by -7 on both sides

q = -3

8) -1/3d = 12

divide both sides by -1/3

d = -4

10) -88 = -8y

divide both sides by -8

10 = y

or

y = 10

Pls help!!! Pls and thank you!! So much

Answers

The measure of angle 1 is 64 degrees

First you need to find the measure of angle 3

To find the measure of angle three subtract 116 from 180 because angle 3 is on a straight line which is equivalent to 180 degrees. Angle 3 is 64 degrees.

Then you add 64 and 52 then subtract that sum by 180 because the measure of a triangle equals 180 degrees.

64+52=116
180-116=64

Therefore angle 1 is 64 degrees

Hope this helps :)

Answer:

I solved it for u!

Hope it helps

Step-by-step explanation:

Another way, it an isosceles triangle so the base will be same, so angle 3 and angle 1 will be same after u find angle 3, then angle 1 will be equal to it

So here angle 3 = 64°

So angle 1= 64°

I need help again pls.

Answers

Answer:

4/3

Step-by-step explanation:

sohcahtoa

tan  = opposite/adjacent

tanX = 32/24 = 4/3

what is the answer for 2/3 z = -6

Answers

Answer:

z=−9

Step-by-step explanation:

Let's solve your equation step-by-step.

2/3z =−6

Step 1: Multiply both sides by 3/2.

(3/2)*(2/3z)=(3/2)*(−6)

z=−9

plz give brainlyest

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)

Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.

Answers

Answer:

again i can not see the given point

Step-by-step explanation:

Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.

Answers

Answer:

-24

Step-by-step explanation:

- 24

-8 -31 -8 + 31 - 31 -8 + 31

-8 -8 - 31 - 8 - 31

-8 -8 -8

-24

1. The temperature outside is -5°F.
Name the temperature that would make
the sum of the two temperatures 0°F.
I
Your anstver
Question 2

Answers

Answer:

1

Step-by-step explanation:

last one! Please help me !!

Answers

Answer:

1.) A      2.) B

Step-by-step explanation:

Formula: a^2+b^2=c^2

4^2+3^2=5^2

Proof:

4^2=16

3^2=9

9+16=25

5^2=25

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