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3 years ago

Two numbers have a sum of 24 and 7 times the first number minus the second number is equal to 16. what is the smaller number

1 answer:

4 0

You want the minimum of the solutions to
x + y = 24
7x - y = 16

There are many ways to solve these equations. Adding them together, you get
8x = 40
x = 5

Since this value is less than 12, it is the smaller number. The smaller number is 5.

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The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

2 years ago

What is 1 7/10 written as an improper fraction

Len [333]

17/10 is what ur looking for

6 0

3 years ago

Read 2 more answers

FIND (-8/3)+(-1/4)+(-11/6)+3/8-3

emmainna [20.7K]

Answer:

-7 3/8

Step-by-step explanation:

The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have

$-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}$

So our solution is -7 3/8

8 0

3 years ago

Find the median of the data set below? -12/4, 18/5, -2.5, 1/5, 10

nirvana33 [79]

-12/4= -3

18/5= 3.6

-2.5= -2.5

1/5= .2

10= 10

Ordered) -12/4, -2.5, 1/5, -2.5, 10

The median is 1/5 since it's in the middle of all five numbers.

Hope I could help! :)

5 0

3 years ago

Simplify by dividing negative three over eight ÷ five over nine . (5 points)

Marysya12 [62]

Answer:

A.) negative twenty-seven over forty

Step-by-step explanation:

Screenshot below will explain the answer

8 0

3 years ago