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PIT_PIT [208]
2 years ago
6

You and your friend drive toward each other. The equation 50h=190−45h, h represents the number of hours until you and your frien

d meet. When will you meet? Solve for h

Mathematics
2 answers:
Ksivusya [100]2 years ago
8 0

Answer:

You meet with your friend after 2 hours.

Step-by-step explanation:

Consider the provided equation.

50h=190-45h

Where, h represents the number of hours until you and your friend meet.

We need to solve the equation for h.

Add 45h to both the sides of the equation.

50h+45h=190-45h+45h

95h=190

Now divide both the sides by 95.

\frac{95h}{95}=\frac{190}{95}

h=2

Hence, you meet with your friend after 2 hours.

AlladinOne [14]2 years ago
5 0
Here you go, hope it helps! :)

You might be interested in
Sal exercised by stretching and jogging 5 days last week.
pashok25 [27]
So sal stretched for about 5 min. each day in 5 days and he jogged for about 43 min ..how??
I divided 215 to 5 and I got 43 min. and how did I get 215 well 240 minus 25 min is 215

and elena she stretches for 75 min in the whole 5 days total and 300 minus 75 is 225. then 225 divided by 15 is 15

Sam jogged for 43 min a day and elena jogged for 15 min a day
I hope this helps :)
4 0
2 years ago
The coordinates of the vertices of △PQR are P(1, 4) , Q(2, 2) , and R(−2, 1) . The coordinates of the vertices of △P′Q′R′ are P′
butalik [34]

<u>ANSWER </u>

The correct answer is option B


<u>EXPLANATION</u>


When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

(x,y)\rightarrow (-x,y)


P(1,4)\rightarrow P'(-1,4)


Q(2,2)\rightarrow Q'(-2,2)


R(-2,1)\rightarrow R'(2,2)


That is to say the <em>x-coordinates</em> are <em>negated</em>. Hence y-axis is the mirror line.


Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.


See graph in attachment.

5 0
2 years ago
Stephanie has $45,000. Part or all of which she wants to invest into a combination of municipal bonds and corporate bonds. She w
Westkost [7]

Answer:

Step-by-step explanation:

Let x be the amount invested in municipal bonds, and let y be the amount invested in corporate bonds.

If Stephanie has $45,000 and she wants to invest part or all into a combination of municipal bonds and corporate bonds, the inequality for this statement would be

x + y ≤ 45000

She wants to invest no less than $20,000 into municipal bonds. It means that

x ≥ 20000

Also, she wants to invest at least four times as much into municipal bonds than into corporate bonds. This means that

x ≥ 4y

x/4 ≥ y

y ≤ x/4

The inequalities are

x + y ≤ 45000

x ≥ 20000

y ≤ x/4

8 0
2 years ago
Here are the ingredients to make 12 cupcakes.
scoundrel [369]

Answer:

Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.

Step-by-step explanation:

Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)

Now add the adults to children: 160+152=312

now divide by 12 to see how many batches of cupcakes he needs to make.

312÷12=26 So he needs to make 26 batches

Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)

5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.

now make the measurements the same as Mark's ingredients (or the other way around)

(to save time I am not showing each one, just the normal ingredients turned into kg and compared)

5 kg butter < 5.2 kg butter

5 kg caster sugar < 5.2 kg butter

90 eggs < 104 eggs

5 kg flour < 6.5 kg flour

Now do a little subtraction.....

5.2 kg-5 kg = 2 kg butter is needed....

5.2 kg - 5 kg = 2 kg caster sugar is needed....

104 - 90 = 14 eggs needed....

6.5 kg - 5 kg = 1.5 kg flour needed....

And there you go!!! Hope this helped!!! :D

4 0
2 years ago
Given right triangle ABC which of the following statements must be true? Check all that apply.
Pachacha [2.7K]

Answer:

Option A. <A and <B are complementary angles

Option D. Sin(C)=Cos(90\°-C)

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

Sin(C)=Cos(A)

Cos(C)=Sin(A)

Remember that

A=90\°-C

so

Sin(C)=Cos(90\°-C)

Cos(C)=Sin(90\°-C)

5 0
2 years ago
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