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2 years ago

Find the two numbers that have a sum of 49 and a difference of 1/2

Mathematics

2 answers:

NeX [460]2 years ago

6 0

Answer:

$49.5 , -0.5$

Step-by-step explanation:

$a + b =49\\a - b = 0.5\\a= 49.5\\b= -0.5$

Mandarinka [93]2 years ago

3 0

$x+y=49\\\underline{x-y=\dfrac{1}{2}}\\2x=49.5\\x=24.75\\\\24.75+y=49\\y=24.25$

Those numbers are 24.75 and 24.25.

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There are 4 consecutive even integers that add up to 268. Which integers are they?

xz_007 [3.2K]

Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

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4 0

3 years ago

Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression r

Aleks [24]

Answer:

<em>The expression that represents her gross pay each day will be: $(5h+8)$ dollars.</em>

Step-by-step explanation:

Suppose, Harriet's gross pay each day $= x$

So, her total gross pay for 7 work days $=7*x= 7x$

Given that, her gross pay at the end of 7 work days is $(35h + 56)$ dollars.

So, the equation will be.......

$7x= 35h+56 \\ \\ x=\frac{35h+56}{7}\\ \\ x=\frac{35h}{7}+\frac{56}{7}\\ \\ x=5h+8$

Thus, the expression that represents her gross pay each day will be: $(5h+8)$ dollars.

8 0

3 years ago

In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.

Ann [662]

Answer:

x = 3 units

SV = 2 units

Step-by-step explanation:

In $\odot Z$ QR and ST are chords such that:

QR = ST = 4

That is both the chords are equal in measure.

Equal chords are at equal distance from the center of the circle. Therefore,

VZ = UZ

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

x = 3 units

Since, perpendicular dropped from the center of the circle bisects the chord.

$\therefore SV = \frac{1}{2} ST$

$\therefore SV = \frac{1}{2} \times 4$

$\therefore SV = 2\: units$

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2 years ago

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3 years ago

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Vikki [24]

Answer:

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Step-by-step explanation:

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