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2 years ago

Marcus, Shaun, and Tristan each invested into new business. They invested 1 point

Mathematics

1 answer:

Schach [20]2 years ago

4 0

Shaun invested $176,250 into the new business.

Marcus invested half of the $940,000 so the amount that Shaun and Tristan invested is:

= 940,000 / 2

= $470,000

Shaun and Tristan invested in the ratio 3:5.

The amount that Shaun invested is:

= (Ratio of Shaun / Sum of the ratios) x Amount both invested

= (3 / (3 + 5 )) x 470,000

= 3/8 x 470,000

= $176,250

In conclusion, Shaun must have invested $176,250 into the business.

Find out more at brainly.com/question/771006.

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Solving two-step equations:

aleksklad [387]

Answer:

Mia scored 6 baskets Last Saturday.

Step-by-step explanation:

Let:

Mia made score of baskets on Last Saturday = x

Mia made score of baskets yesterday = 3x (Mia made three times as many baskets in yesterday’s basketball game as she did last Saturday. three times means multiply 3 with score of Last Saturday baskets, i.e. x)

Total score of baskets = 24

We need to find How many baskets did Mia score last Saturday?

We can write:

Total Score = Score on Last Saturday + Score yesterday

$24=x+3x$

Solving this equation we can find value of x:

$24=x+3x\\24=4x\\=>4x=24\\x=\frac{24}{4}\\x=6$

So, we get value of x = 6

Mia made score of baskets on Last Saturday = x = 6

Mia scored 6 baskets Last Saturday.

4 0

2 years ago

Determine if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 4.1, 8.2, 12.2

goldfiish [28.3K]

Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

$4.1 + 8.2 \ \textgreater \ 12.2 \\
12.3 \ \textgreater \ 12.2 \\
true$
They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if $c^2=a^2+b^2$ , the triangle is right
- if $c^2\ \textless \ a^2+b^2$ , the triangle is acute
- if $c^2\ \textgreater \ a^2+b^2$ , the triangle is obtuse

$4.1^2+8.2^2=16.81+67.24=84.05 \\
12.2^2=148.84 \\ \\
148.84\ \textgreater \ 84.05$
The triangle is obtuse.

The answer is D.

4 0

2 years ago

What is the total number of 0.3 pound meatballs Thomas can make with 8.1 pounds of meat?

SCORPION-xisa [38]

27

Divide

8.1 / 0.3

27

Hope this helps :)

7 0

3 years ago

Can someone answer this please

Alexxandr [17]

Answer:

Range: (-∞, 0]

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

When we graph the equation, we should see that our y-values span from -∞ to 0. Since 0 is a closed dot, it is inclusive in the range:

(-∞, 0] or y ≤ 0

4 0

2 years ago

A line that includes the point (10, 0) has a slope of

Sergeu [11.5K]

9514 1404 393

Answer:

y = 1/5x -2

Step-by-step explanation:

When a point and slope are given, sometimes it is easiest to start with the point-slope form of the equation. Then it can be rearranged to the desired form.

y -k = m(x -h) . . . . . line with slope m through point (h, k)

y -0 = 1/5(x -10) . . . . . line with slope 1/5 through point (10, 0)

y = 1/5x -2 . . . . . . . eliminate parentheses to get slope-intercept form

_____

Note that the slope in the attached picture is 1/5, but your problem text says it is 5. Very different equations will result from these different slopes.

4 0

2 years ago