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3 years ago

12

keiko, chang, and scott sent a total of 130 text messages over their cell phones during the weekend. Scott sent 10 fewer message

s than Keiko. Chang sent 4 times as many messages as scott. How many messages did they each send?

1 answer:

Olenka [21]3 years ago

8 0

Keiko sent 30 text messages Scott sent 20 text messages chang sent 80

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Is there a linear relationship between height and volume? Explain how you know.

Gemiola [76]

Answer:

Yes

Step-by-step explanation:

The volume is for example the area of a circle times the height. If you divide the volume of a cylinder by the amount the radius is squared multiplied by pi, to calculate its height.

5 0

2 years ago

Use the remainder theorem to find the remainder for each of the following divisions. (x²+3x+1)/(x+2)

Jet001 [13]

Answer:

The remainder of this division is -1.

Step-by-step explanation:

Given data in the question:-

Dividend= $x^2+3x+1$

Divisor= $x+2$

Solution:-

To find the remainder using the remainder theorem. We have to substitute -2 in the dividend and on solving that we will get the remainder.

We got -2 from the divisor when we equate the divisor to 0.

x+2=0

x=-2

$p(a)=x^2+3x+1\\$

Substituting -2 in above written equation.

$p(-2)=(-2)^2+3(-2)+1\\p(-2)=4-6+1\\p(-2)=5-6\\p(-2)=-1$

3 0

3 years ago

) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimensional space. The points are (2,

r-ruslan [8.4K]

Answer:

<em>The polygon area is </em> $51.5 U^{2}$ <em />

Step-by-step explanation:

Points:

(2,7), (8,2), (6,11), (6,5), (11,6)

1. The area of the polygon could be calculate with the eqation:

$A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]$

2. Replace the coordinates in equation for A:

$A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]$

3. Solve the determinant, and calculate A:

$A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}$

<em>The polygon area is </em> $51.5 U^{2}$ <em />

8 0

3 years ago

SOMEONE PLZ HELP ME The two box-and-whisker plots below show the scores on a math exam for two classes. What 2 things do the int

Savatey [412]

A box-and-whisker plot shows 5 number summary: Class A Class B1) minimum value 65 562) 1st quartile 66 793) median 81 914) 3rd quartile 89 945) maximum value 95 100
Interquartile range = 3rd Quartile - 1st Quartile Class A: 89 - 66 = 23Class B: 94 - 79 = 15
IQR indicates the spread of the of the scores over the median. Class A has a spread that his more than 50% of the scores of Class B.
Hope this helps!! :)

3 0

2 years ago

Matt runs 2 4/5 miles a day at 10 minutes per mile. How many minutes does he run in 7 days?

spin [16.1K]

Answer:

196 minutes

Step-by-step explanation:]

2x10 is 20 and if you divide 5/10 its 2 so the 4 in 4/5 is the total of 8 because 10 would mean 5/5 and 20+8=28 so 28x7 is 196

4 0

2 years ago