Ms. Wertz graded 20% of the tests for her class in 16 minutes. How many minutes will it take to grade all of the tests?
Answers
Answer:
The entire class is done in 80 minutes
Step-by-step explanation:
20 % = 20/100 = 1/5
1/5 of the class in 16 minutes
Multiply each by 5
1/5 *5 of the class in 16*5 minutes
1 of the class in 80 minutes
The entire class is done in 80 minutes
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Gepetto, a puppet maker, can produce 15 new puppets per week. He already has 25 completely finished puppets in storage. We want to write an equation to model the relationship between the number of puppets available for sale and the number of weeks. a) What is the slope of your model? (Hint: you are looking for a rate!) b) What is the y-intercept of your model? (Hint: this is also sometimes called the “starting value.”) c) Write an equation in slope-intercept form expressing the relationship between the number of puppets available for sale and the number of weeks. Make sure to define your variables! d) Use your equation to predict how many puppets would be available for sale after seven weeks. e) Use your equation to determine how many weeks it would take Gepetto to fulfill an order for 220 puppets.
AB = GI
BC = HI
DE = HI
m∠B = m∠D = m∠I
Which triangles must be congruent?
ΔABC and ΔDEF only
ΔGHI and ΔABC only
none of the triangles
ΔABC, ΔDEF, and ΔGHI
Answers
I think all triangles are congruent. 2 sides and 1 angle of each triangle is has the same measure. Making these triangles congruent in SAS theorem.
Answer: ΔABC, ΔDEF, and ΔGHI
Step-by-step explanation:
Given: In ΔABC, ΔDEF, and ΔGHI:
AB = DF AB = GI
BC = HI DE = HI
m∠B = m∠D = m∠I
In ΔABC and ΔGHI
AB = GI [given]
BC = HI [given]
m∠B = m∠I [given]
[ here m∠B and m∠I are the included angle of ΔABC and ΔGHI]
∴ ΔABC ≅ ΔGHI [by SAS congruence postulate]
In ΔABC and ΔDEF
AB = DF [given]
BC = DE [ Since BC = HI and DE = HI so by transitive property BC = DE]
m∠B = m∠D [given]
[ here m∠B and m∠D are the included angle of ΔABC and ΔDEF]
∴ ΔABC ≅ ΔDEF [by SAS congruence postulate]
Now, since ΔABC ≅ ΔGHI and ΔABC ≅ ΔDEF
⇒ ΔGHI ≅ ΔDEF [transitive property]
Hence, all the given triangles ΔABC, ΔDEF, and ΔGHI are con gruent to each other.
B) 14 feet
C) 28 feet
D) 40 feet
Answers
Answers
20%+15%; and 50% of 70%.
Explanation:
Benchmark percents are percents that are commonly used. 20% and 15% are two commonly used percentages; the sum of them would be
20%+15% = 35%.
A multiple of a percent is a percent of a percent. Taking 50% of 70% of a number is the same as multiplying by 0.5(0.7) = 0.35.
128
256
512
1024
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Where
We can see this because:
Notice that the x coordinate of the graph corresponds to the time, and the y coordinate corresponds to the population.
Thus at
Answers
Answers
Answer:
30*x + 14850/x
Step-by-step explanation:
Let x be the length of the two opposite sides of the region with material costs of $15 per linear foot.
Let y be the length of the other two sides
Now, we have the following equations
Area of the rectangular región = x * y = 450 ft2
Total cost of fencing = 15*x + 15*x + 15 *y + 18*y
Total cost of fencing = 30*x + 33 *y
We now that area is equal to 450 ft2 = x*y
So y = 450/x
Now we can substitute y in equation for Total cost of fencing and obtain a function that expresses the cost of fencing the region in terms of the length, x
Total cost of fencing = 30*x + 33 *(450/x)
Total cost of fencing = 30*x + 14850/x