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3 years ago

6

Write a number sentence for the problem. Usefor the missing number. Then solve . 29 children rode their bikes to school. After s

ome of the hildren rode home, there were 8 children with bikes still ct sc hool. How many children rode their bikes home?

1 answer:

Elza [17]3 years ago

6 0

Answer:

well apperently all will ride home but i need you to type the question correctly so i know what your asking. :)

Step-by-step explanation:

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a triangle with vertices (0 0) (5 3) (10 1) is dilated with a center of dilation at the origin by a factor of 5. what are the ne

Anastasy [175]

Algebraic rule —-> (x,y)—->(5x,5y)

(0,0) —> 0,0
(5,3)—-> 25,15
(10,1)—->50,5

6 0

3 years ago

There are 21 students in a class. The median age of the students is 23. The oldest student is 29.

Varvara68 [4.7K]

Answer:

1) At least one (the 11th) student is 23 (years old), <u>Must be true</u>

2) Some students are younger than 15 <u>Could be true</u>

Step-by-step explanation:

1) The given parameters are;

The number of student in the class = 21

The median age of the student = 23

The age of the oldest student = 29

Therefore, given that the median age = The age of the (n + 1)/2 th student

Where;

n = The number of student in the class = 21

∴ The median age = The age of the (21 + 1)/2 th = 11 th student, when the age of the students are arranged in increasing order, therefore, we have;

At least one (the 11th) student is 23 (years old), <u>Must be true</u>

2) Given that there are 10 students with ages equal to or lower than the median age, and the difference between the median age and the age of the oldest student = 29 - 23 = 6 years, we have;

Some students are younger than 15 <u>Could be true</u>

5 0

3 years ago

klasskru [66]

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=0,\:x=6$

Step-by-step explanation:

Considering the system of the equations

$\begin{bmatrix}2x-7y=12\\ -x+15y=-6\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:2x-7y=12$

$2x-7y+7y=12+7y$

$2x=12+7y$

Divide both sides by 2

$\frac{2x}{2}=\frac{12}{2}+\frac{7y}{2}$

$x=\frac{12+7y}{2}$

$\mathrm{Subsititute\:}x=\frac{12+7y}{2}$

$\begin{bmatrix}-\frac{12+7y}{2}+15y=-6\end{bmatrix}$

$-\frac{12+7y}{2}+15y=-6$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$-\frac{12+7y}{2}\cdot \:2+15y\cdot \:2=-6\cdot \:2$

$-\left(12+7y\right)+30y=-12$

$-12+23y=-12$

$-12+23y+12=-12+12$

$23y=0$

$\mathrm{Divide\:both\:sides\:by\:}23$

$\frac{23y}{23}=\frac{0}{23}$

$y=0$

$\mathrm{For\:}x=\frac{12+7y}{2}$

$\mathrm{Subsititute\:}y=0$

$x=\frac{12+7\cdot \:0}{2}$

$x=\frac{12}{2}$

$x=6$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$y=0,\:x=6$

4 0

3 years ago

2 square numbers that add up 125

drek231 [11]

Answer:

There are two answers, firstly 1*125. Then, factoring 125 as a product of primes, you get 5^3. The only two numbers you can get out of 5^3 other than 125 are 5^1 = 5 and 5^2 = 25. So there's your other answer: 5*25.

6 0

3 years ago

An ellipse has vertices of (5, 0) and (–5, 0) and covertices of (0, 2) and (0, –2). Use the given information to answer the ques

ValentinkaMS [17]

Answer:

The line the foci will be graphed is?

y=0

The foci are located at about ?

(4.58, 0) and (-4.58, 0)

What type of lines will the directrices be?

Both vertical

The directrices are located at about?

x= 5.46 and x= -5.46

Step-by-step explanation:

7 0

3 years ago