What is the area of this figure

4. Next week your math teacher is giving a chapter test worth 100 points. The test will consist of 35

jeka57 [31]

Answer:

Step-by-step explanation:

Let T stand for the number of 2 point questions and F for the number of 4 point questions.

We are told that:

2T + 4F = 100 {The total score is the sum of 2 and 4 point questions times their point values]

and that

T + F = 35 [the total number of questions is 35]

Rearrange the last equation to solve for either T or F, and substitute that into the first equation:

T = 35 - F

--

2T + 4F = 100

2(35-F) + 4F = 100

70 - 2F +4F = 100

2F = 30

F = 15

Since T + F = 35, T = 20

Check:

2-Point Questions: 20*2 = 40

4-Point Questions: 15*4 = 60

Total test is 100 points

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20%2B%204" id="TexFormula1" title="4x

mario62 [17]

Answer:

x = 1.155

x = -1.155

Step-by-step explanation:

4x² = x² + 4

<h3>i) move variable to the left-hand side and change its sign</h3>

4x² - x² = 4

<h3>ii) collect like terms</h3>

3x² = 4

<h3>iii) divide both sides of the equation by 3</h3>

$\frac{ {3x}^{2} }{3} = \frac{4}{3}$

${x}^{2} = \frac{4}{3}$

<h3>iv) take the square root to the opposite side of the equation and remember to use </h3><h3>positive and negative roots</h3>

$x = + - \sqrt{ \frac{4}{ 3} }$

<h3>v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign</h3>

$x = \sqrt{ \frac{4}{3} } \: or \: 1.155$

$x = - \sqrt{ \frac{4}{3} } \: or - 1.155$

<h3 />

8 0

2 years ago

Answer to the question

oee [108]

Answer:

Step-by-step explanation:

102 + 102 + 24x + 24x - 18 - 18 = 360

204 + 48x - 36 = 360

204 + 48x = 360 + 36

204 + 48x = 396

48x = 396 - 204

48x = 192

x = 192/48

x = 4

6 0

2 years ago

A blueprint shows that a house’s length is 100cm and the width is 80cm. If the actual house length is 40 meters, what is the act

lianna [129]

Answer:

32 meters

Step-by-step explanation:

The question is on scale

Length of house on paper=100cm

Length of house actual=40m

finding the scale used;

make both lengths with similar units;

100cm rep 40m

100cm = 40×100 cm

100cm=4000cm

1:40⇒1cm rep 40 cm

Finding actual measurement of the width

1cm rep 40cm

80cm rep ?

cross multiply; (80×40)÷1= 3200cm

actual width=3200/100= 32 meters

3 0

2 years ago

Read 2 more answers

HELP ME FAST!! TEST DUE IN ONE HOUR!!

tamaranim1 [39]

Answer:

Step-by-step explanation: your answer is {0,0} {0,0}

6 0

6 months ago