What is the solution to the inequality 7x + 2 < 3x + 1?
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Answer:

x = 16

Step-by-step explanation:

First add all of your angles together to get:

9x + 36

Then set that equal to 180:

9x + 36 = 180

Now solve Algebraically:

Subtract 36 from both sides:

9x = 144

Then divide by 9:

x = 16

The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.

Answer:

the measures of the three angles: x=18°, y= 68°, z=. 94°

Answer:

3 units

Step-by-step explanation:

There are 3 squares between them.

Answer: (4,-11)

Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates

Answer:

4,-11

Step-by-step explanation:

The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11

pls mark as brainliest!!

Answer:

I have no idea what sohcahtoa is but:

tan 50.1° = x/5

1.196 = x/5

multiply both sides of the equation by 5:

x = 5.98

Answer:

I dont know explaining more its not clear plz explaining ore

Answer:

12 km/hr

Step-by-step explanation:

The average speed is 12 km/hr.

It is to find the average speed in km /h.

Speed is measured as the ratio of distance to the time in which the distance was covered.

Given that :

Distance covered by Niamh = 6 km

Time =30minutes=30/60hour

=1/2hour

∴ The average speed=Total distance/Total time

The average speed=6*2/1

The average speed=12 km/hr.

So, the average speed is 12 km/hr.

Learn more about speed here:

https://brainly.com/question/22811784

#SPJ2

To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

m: The slope of the line

b: The y-intercept (The point where the line is at the y-axis)

Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.

The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially [tex]\frac{rise}{run}[/tex]

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

m = [tex]\frac{rise}{run}[/tex]

m = [tex]\frac{22}{1}[/tex]

m = 22

We now have the first variable of the equation.

y = 22x + b

What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.

As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

y = 22x + 0

y = 22x

If you'd like me to explain how I did anything, just ask!

- breezyツ

Answer:

Equation: y=22x + 0 (you can put 0 if you want)

Step-by-step explanation:

Okay, so this is set up as a y=mx+b equation meaning that m=rate of change and b=y-intercept. If a cheetah runs 22 feet per second which is x, that means that m=22. And if 1 second is equal to 22 feet then in 0 seconds they run 0 feet, which is your y-intercept. Another way to find the rate of change (m) is by using the equation y2-y1/x2-x1 or 44-22/1 in this case. This equation is usually written as y=22x.  Hope this helps!

Answer:

y+4=6(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=6(x-3)

y+4=6(x-3)

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

Answer: 37 1/3 cm

Step-by-step explanation:

Area = Length times width

4 2/3 times 8 = 37 1/3

Answer:

20%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

65.60/82.00

Answer:2.2%

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

Answer:

Hello There!!

Step-by-step explanation:

The answer is B. Choosing a loan with a simple rather than compound interest rate.

hope this helps,have a great day!!

~Pinky~

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]

[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]

[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]

[tex]Z = \frac{0.127 }{0.0377}[/tex]

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

Answer:

10 1/12 cups

Step-by-step explanation:

Ok, so since we know that the recipe calls for 5 3/4 cups of cereal we can go ahead and say it's at least that much.

Then we have where it says there are 3 5/12 less cups of raisins we need to subtract this from 5 3/4 cups and we get 2 4/12 of raisins.

Final equation: 5 3/4+2 4/12= 10 1/12 cups

Hope this helps!!

Answer:

area of triangle = 1/2×base×height

area of triangle =1/2×15m×16m

area of triangle =120m²

Answer:

$632

Step-by-step explanation:

Set up an equation:

$30(20 hours) + ($400 × 0.08)

$600 + $32

$632

Answer:

Zane needs 240 strings for 5 harps.

Step-by-step explanation:

All you have to do is multiply

48 * 5 = 240

So, the answer is 240

Hope this helps! :)

Answer:

The number of milk chocolate pieces is between 115 and 120 pieces.

Step-by-step explanation:

Answer:

D) x = ± 2√5 - 4

Step-by-step explanation:

2x² + 16x - 8 = 0

Yah, i plugged this into m a t h w a y

(all of ur questions pretty much can use this app or website)

Answer:

D

Step-by-step explanation:

Given

2x² + 16x - 8 = 0 ( divide through by 2 )

x² + 8x - 4 = 0 ( add 4 to both sides )

x² + 8x = 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = 4 + 16

(x + 4)² = 20 ( take the square root of both sides )

x + 4 = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± 2[tex]\sqrt{5}[/tex] ( subtract 4 from both sides )

x = - 4 ± 2[tex]\sqrt{5}[/tex] → D

Answer:

5832

Step-by-step explanation:

18 × 18 = 324

324 × 18 = 5832

Answer:

299 square feet

Step-by-step explanation:

Area of a parallelogram = base × height

Base = 23 ft

Height = 13 ft

Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.

Area of the parallelogram shown = 23 × 13

Area = 299 ft²