Answer:
a=5, s=3
Step-by-step explanation:
a=adult s=student
then write 2 equations to represent the amount of people and money
a+s=8
7.25a+5.5s=52.75
• To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
{a+s=8, 7.25a+5.5s=52.75}
• Choose one of the equations and solve it for a by isolating a on the left hand side of the equal sign.
a+s=8
• Subtract s from both sides of the equation.
a=−s+8
• Substitute −s+8 for a in the other equation, 7.25a+5.5s=52.75.
7.25(−s+8)+5.5s=52.75
• Multiply 7.25 times −s+8.
−7.25s+58+5.5s=52.75
• Add −29s/4 to 11s/2.
−1.75s+58=52.75
• Subtract 58 from both sides of the equation.
−1.75s=−5.25
• Divide both sides of the equation by −1.75, which is the same as multiplying both sides by the reciprocal of the fraction.
s=3
• Substitute 3 for s in a=−s+8. Because the resulting equation contains only one variable, you can solve for a directly.
a=−3+8
• Add 8 to −3.
a=5
Complete question is;
An advertising banner has four sections, as modeled in the attached image. Two sections are congruent trapezoids, and two sections are congruent right triangles. Which measurement is the best estimate of the area of the banner in square meters?
Answer:
6 m²
Step-by-step explanation:
Since we are told that there are two congruent trapezoid, it means that they will have same base of 1m.
This Means the total base of the entire triangle will be;
Base = 1 + 1¾ + 1 + 1¾ = 5.5 m
Height of main triangle = 2 m
Thus,
Area = ½ × 5.5 × 2 = 5.5 m²
We are looking for best estimate, so let's approximate to the nearest whole number to get 6 m²
They will have played with 19 loses 76 wins !
The statements that are TRUE regarding the box plots are:
A, D, and E.
The box plots are given in the image attached below.
<h3>The Five-number Summary Displayed by a Box Plot</h3>
The values displayed by a box plot for a given data are:
- Median
- Minimum
- Maximum
- First Quartile
- Third Quartile
Interquartile range = Third Quartile - First Quartile.
Thus, shelter's A median is 21, shelter B's 18.
Interquartile range for shelter A = 28 - 8 = 20
Interquartile range for shelter B = 28 - 10 = 18
<h3>What is a Symmetric Data Set?</h3>
- If a data set is symmetric, a box plot that represents the data set will have the median in the middle of the box, while both whiskers will be about the same on both sides of the box.
- For example, the data set for shelter B is symmetric.
Therefore, the statements that are TRUE regarding the box plots are:
A, D, and E.
Learn more about box plots on:
brainly.com/question/14277132