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daser333 [38]
3 years ago
9

A group of friends wants to go to the amusement park. They have no more

Mathematics
2 answers:
dusya [7]3 years ago
7 0

Answer:

Inequality: 11x+16.5\le11011x+16.5≤110

Answer: x \le 8.5x≤8.5

Step-by-step explanation:

NeX [460]3 years ago
6 0

Answer:

110-16.50=93.50

93.50÷11= 8.5

answer is 8 people

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Function for g whose graph is similar to f(x)=3x^2 shifted right 6 units and upward 5 units
vladimir2022 [97]

f(x) = 3 {x}^{2}

function g has to be the transformation of function f. Therefore,

g(x) = 3 {(x - 6)}^{2}  + 5

is the answer.

8 0
3 years ago
Solve the system of equations by the addition method.<br> 1 - 3x = -5y - 8<br> 6x<br> 3y = -5
Advocard [28]

-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply  equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x  -3y = 2(-5y-8)  + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y   = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9  = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\

\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)

3 0
3 years ago
HELP Sam measures the height of 7 different scoops of ice cream. The mean of the heights was 3.8 cm. Which of the following best
OLga [1]

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm. If all the scoops are evenly distributed, they would all be 3.8 cm tall.

<h3>How to find the mean value of a data set?</h3>

The mean value of the data set is the ratio of the sum of the data set's values to the number of values it has.

If the data set consists of values

x_1, x_2, ..., x_n

, then we get the mean value as:

\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}

Sam measures the height of 7 different scoops of ice cream. The mean height was 3.8 cm.

\overline{x} = \dfrac{x_1 + x_2 + \cdots + x_n}{n}

mean=\dfrac{(a+b+c+d+e+f+g)}{7}

Therefore, If all the scoops are evenly distributed, they would all be 3.8 cm tall.

Learn more about mean;

brainly.com/question/23008823

#SPJ2

8 0
2 years ago
Read 2 more answers
Sarah takes out a loan for $30,000. She has two choices for the loan; a 5 year loan with 5% simple interest or a 7 year loan wit
aivan3 [116]

Answer:

$1977.95

Step-by-step explanation:

$30000*.05*5=$7500 (simple interest)

$30000*1.04^7=$39477.95-$30000=$9477.95 (compound interest)

$9477.95-$7500.00=$1977.95

4 0
3 years ago
Read 2 more answers
A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to r
aleksandrvk [35]

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

6 0
3 years ago
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