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Alenkinab [10]
3 years ago
12

Tom took four seconds to run 6 yards Diane ran 5 yards in three seconds if they continue to run at the same speed who were to ge

t to the 30 yards first
Mathematics
2 answers:
mariarad [96]3 years ago
7 0
Diane because of the speed she’s running at
tatiyna3 years ago
3 0

Answer:

Diane

Step-by-step explanation:

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A hockey team made four of their 10 attempted goals. which ratio compares the number of goals made to the number of goals attemp
Andrei [34K]
The answer is 4:10. Hope it helps!
6 0
3 years ago
Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.
bekas [8.4K]

Answer:

For the yes/no bit:

step 1: no

step 2: no

step 3: yes

step 4: yes

step 5: no

for the final answer bit: a = 2  3/5 (the last option)

Step-by-step explanation:

yes/no bit:

step 1 is wrong because she didn't multiply -\frac{5}{4}a by -2

step 2 is wrong because she subtracted 1/2 instead of adding it

step 3 is correct because 6 - 1/2 = 11/2

step 4 is correct because she correctly multiplied both sides by 4

step 5 is wrong because she added 5 instead of dividing by -5.

for the final answer bit, I've attached an image below with my working out. hope this helps!

6 0
2 years ago
What point in the feasible region maximizes the objective function, 3x + y ≤ 12, x+y ≤5, x ≥0,y ≥0
forsale [732]

Step-by-step explanation:

We have to find the point in the feasible region which maximizes the objective function. To find that point first we need to graph the given inequalities to find the feasible region.

Steps to graph 3x + y ≤ 12:

First we graph 3x + y = 12 then shade the graph for ≤.

plug any value of x say x=0 and x=2 into 3x + y = 12 to find points.

plug x=0

3x + y = 12

3(0) + y = 12

0 + y = 12

y = 12

Hence first point is (0,12)

Similarly plugging x=2 will give y=6

Hence second point is (2,6)

Now graph both points and joint them by a straight line.

test for shading.

plug any test point which is not on the graph of line like (0,0) into original inequality 3x + y ≤ 12:

3(0) + (0) ≤ 12

0 + 0 ≤ 12

0 ≤ 12

Which is true so shading will be in the direction of test point (0,0)


We can repeat same procedure to graph other inequalities.

From graph we see that ABCD is feasible region whose corner points will result into maximum or  minimu for objective function.

Since objective function is not given in the question so i will explain the process.

To find the maximum value of objective function we plug each corner point of feasible region into objective function. Whichever point gives maximum value will be the answer

7 0
3 years ago
Sides that match up between two similar figures are called corresponding sides.
Naily [24]

Answer:

A. Height of the Flag pole  

B. Longest.

Explanation:

Two similar triangles have corresponding sides with the same ratio.

A smaller triangle is showing the shadow of a person and the larger one is showing the shadow of a flag.

Now the person's shadow in the smaller triangle corresponding to the Height of the Flag pole.

The longest side of the large triangle corresponds with the Longest side of the smaller triangle.

5 0
3 years ago
A 0.145-kg baseball pitched horizontally at 27 m/s strikes a bat and is popped straight up to a height of 43 m. if the contact t
suter [353]
A 0.145-kg baseball pitched horizontally<span> at </span>27 m/s strikes<span> a </span>bat<span> and is </span>popped straight up<span> to a</span>height<span> of </span>43 m<span>. </span>If<span> the </span>contact time between<span> the </span>bat<span> and the ball is</span>
3 0
3 years ago
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