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Serjik [45]
3 years ago
15

Solve the proportion below. 5/x = 30/72 a.12 b.9 c.6 d.30

Mathematics
2 answers:
AnnyKZ [126]3 years ago
3 0

Answer:

A. 12

Step-by-step explanation:

Cross multiply:

30x = 72(5)

x = 360/30

x = 12

Stels [109]3 years ago
3 0

Hey there! :)

Answer:

x = 12.

Step-by-step explanation:

Set the two proportions equal to each other:

\frac{5}{x}  = \frac{30}{72}

Cross multiply to solve for x:

5 · 72 = 30 · x

360 = 30x

Divide both sides by 30:

360/30 = 30x/30

12 = x.

Therefore, the value of 'x' in this proportion is 12.

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Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
3 years ago
How many different right triangles are there with a hypotenuse of lenght 5 cm
Sveta_85 [38]

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:

6 0
3 years ago
Please answer for branliest
Lostsunrise [7]

Answer:

50%

Step-by-step explanation:

There are 2 cards greater than 5 , that is 6 and 7 , then

P( greater than 5 ) = \frac{2}{4} = \frac{1}{2} = 50%

4 0
3 years ago
in one day Annie traveled 5 times the sum of the number of hours Brian traveled and two together they travel 20 hours find this
Stels [109]

Use the distributive property:

5*b+5*2+b=20

5b+10+b=20.

Combine like terms:

6b+10=20.

Subtract 10 from both sides:

6b+10-10=20-10

6b=10.

Divide both sides by 6:

6b/6=10/6

b=5/3=1 2/3.

Brian travels 1 2/3 hours. This means Annie travels

5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.

Hope this helps!

3 0
3 years ago
Read 2 more answers
Mr. Bennett owns 4 restaurants. The mean number of tables is 30. Which number line shows what could happen to the mean if he buy
expeople1 [14]
Number of tables al four restaurants have;
= 4 * 30
=120 tables
Two new restaurants + 4
=6 restaurants
(120+15+9)= 144 tables
Mean = total # of tables/ total # of restaurants;
144/6
=24
This is the mean so it decreases. I hope this helps even though you didn’t actually post the number line
7 0
3 years ago
Read 2 more answers
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