yn is hosting a party at a restaurant. The restaurant is charging her $160 to rent the space and $19 per guest. If Taryn wants to spend less than $635, which inequality could be used to solve for x, the number of guests Taryn can invite?
A.
$19x < $160
B.
$19x < $635
C.
$19x - $160 < $635
D.
$19x + $160 < $635
The correct inequality is B. $19x < $635.
How many triangles exist with the given angle measures?
44°, 44°, 92°
A.
Exactly one unique triangle exists with the given angle measures.
B.
More than one triangle exists with the given angle measures.
C.
No triangle exists with the given angle measures.
B. More than one triangle exists with the given angle measures.
Sinead bought 2 shirts for $15.56 each and a pair of shoes for $42.21. If she paid for the items with a $100 bill, how much change did she receive?
A.
$42.23
B.
$73.33
C.
$11.11
D.
$26.67
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To find out how much change Sinéad received, we first need to calculate the total cost of the items she purchased.
The cost of the two shirts is $15.56 each, so the total cost of the shirts is 2 * $15.56 = $31.12.
Adding the cost of the shoes, the total cost of all the items is $31.12 + $42.21 = $73.33.
Sinéad paid with a $100 bill, so to find the change, we subtract the total cost from the amount she paid: $100 - $73.33 = $26.67.
Therefore, Sinéad received $26.67 in change.
The correct answer is D. $26.67.
he dot plot below shows the ages of the 20 people currently in Mr. Wood’s classroom.
Which measure of center would be best to describe this distribution?
A.
median
B.
interquartile range
C.
mean
D.
range
To determine the best measure of center for this distribution, it is important to consider the shape of the data. In this case, we are given a dot plot of the ages of the 20 people in Mr. Wood's classroom.
The dot plot visually displays the distribution and can help us determine its shape. Based on the dot plot, it is not mentioned whether the data is symmetric or skewed.
In such cases, the most appropriate measure of center would be the median, as it is not affected by extreme values or outliers.
Therefore, the best measure of center to describe this distribution would be A. median.
A bakery makes the same number of cupcakes each hour, as shown on the graph below.
What does the point (2, 40) represent on the graph?
A.
2 cupcakes made in 40 hours
B.
40 cupcakes made in 2 days
C.
40 cupcakes made in 2 hours
D.
2 cupcakes made in 40 days
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The point (2, 40) represents 40 cupcakes made in 2 hours.
In the graph, the horizontal axis represents time, and the vertical axis represents the number of cupcakes made. At the point (2, 40), the horizontal value (2) represents the number of hours, and the vertical value (40) represents the number of cupcakes made during those 2 hours.
Therefore, the correct answer is C. 40 cupcakes made in 2 hours.
To solve this problem, we need to determine the inequality that represents the relationship between the amount spent and the number of guests Taryn can invite.
We know that the restaurant is charging $160 to rent the space and $19 per guest. Let's use "x" to represent the number of guests Taryn can invite.
The cost of renting the space is fixed at $160, so we can add this to the cost based on the number of guests. This gives us the equation: $19x + $160.
We are given that Taryn wants to spend less than $635. So, the inequality representing this would be: $19x + $160 < $635.
Therefore, the correct answer is option D:
$19x + $160 < $635.