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artcher
11 days ago
12

James has t toy cars and Paul has 13 more. How many cars will James have if Paul gives him half of his cars?

Mathematics
1 answer:
zzz [4K]11 days ago
6 0

James will retain his original t toy cars along with half of (t+13) cars, resulting in a total of...

... t + (t + 13/2) = (3t + 13)/2.... cars after receiving a gift from Paul.

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2m - 6 = 8m then 3m =
Leona [4166]

Respuesta:

3m = -3

Desglose paso a paso:

Nos dan la ecuación

2m - 6 = 8m,

por lo que

2m - 8m = 6,

-6m = 6,

m = 6/(-6),

m = -1.

Así, 3m = -3.

5 0
13 days ago
How many ways can the letters in the word 'Momentum' be arranged in a row with the 'M's occupying alternate positions?
PIT_PIT [3919]
Multiplying 3 × 5 × 2 × 4 × 3 × 2 × 1 × 1 results in 720
3 0
16 days ago
In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba
AnnZ [3877]

Answer:

X ball bearings can be produced in 1 hour and 20 minutes

Step-by-step explanation:

Proportions

Proportions serve as an essential method for solving various common challenges. We understand that:

Company ABC manufactures X ball bearings in 3 hours.

Company DEF produces X ball bearings in 4 hours.

Company GHI generates X ball bearings in 6 hours.

In a single hour, each company is capable of producing:

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

By collaborating, they can produce

\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}

ball bearings. Operating together

\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}

If their output is 3/4 of a ball bearing in one hour, then it will take

\displaystyle \frac{4}{3} hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.

X ball bearings can be produced in 1 hour and 20 minutes

8 0
17 days ago
Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t
babunello [3635]

Answer:

To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation

1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation

After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a} for equations of the type 0 = a·x² - b·x + c.

When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.

Step-by-step explanation:

3 0
10 days ago
Allan is ordering a set of rational numbers that includes positive values, negative values, fractions, and decimal numbers. How
Inessa [3907]
Arrange them starting from the smallest to the largest.
7 0
8 days ago
Read 3 more answers
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