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2 years ago

HELLPPPPPP

Mathematics

2 answers:

Nady [450]2 years ago

4 0

<h3>Multiplication Property of Equality is the missing reason</h3>

Solution:

Given that,

five thirds times x plus 2 equals negative 3

Therefore,

$\frac{5}{3}x + 2 = -3$

Multiplication Property of Equality

The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal

$\frac{5}{3}x + 2 = -3$

Multiply both sides by 3

$3(\frac{5}{3}x + 2) = -3 \times 3\\\\5x + 6 = -9$

Subtraction Property of Equality

The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true

5x + 6 = -9

Subtract 6 from both sides

5x + 6 - 6 = -9 - 6

5x = -15

Division Property of Equality

The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true

5x = -15

Divide both sides by 5

x = -3

joja [24]2 years ago

4 0

Answer: Multiplication Property Of Equality

Step-by-step explanation:

look at the image below

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One student solved the inequality −4 > x/-7 and got 28 28. Are they both correct? Explain

dusya [7]

Answer: solutions are the same, just written differently, inequality sign is reversed when multiplying by a negative. Yes, both students are correct.Jul 8, 2018

Step-by-step explanation:

8 0

3 years ago

'Five times a number minus eight is 17.5.

11Alexandr11 [23.1K]

Answer:

5.1

Step-by-step explanation:

you need to work backwards.

so do 17.5 + 8 then divide by 5 to get 5.1

i hope this helps :)

8 0

2 years ago

Semicircles

Studentka2010 [4]

Answer:

The area of the shaded portion of the figure is $9.1\ cm^2$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

$A=b^2$

where

b is the length side of the square

we have

$b=4\ cm$

substitute

$A=4^2=16\ cm^2$

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

$A=\pi r^{2}$

The diameter of the circle is equal to the length side of the square

$r=\frac{b}{2}=\frac{4}{2}=2\ cm$ ---> radius is half the diameter

substitute

$A=\pi (2)^{2}$

$A=4\pi\ cm^2$

Therefore, the area of 2 "not-shaded" regions is:

$A=(16-4\pi) \ cm^2$

and the area of 4 "not-shaded" regions is:

$A=2(16-4\pi)=(32-8\pi)\ cm^2$

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

$A=16-(32-8\pi)=(8\pi-16)\ cm^2$

---> exact value

assume

$\pi =3.14$

substitute

$A=(8(3.14)-16)=9.1\ cm^2$

8 0

3 years ago

If the point (a,3) lies on the graph of the equation 5x + y = 8, then a= a.01 b.0-1 c.0-7

fomenos

Answer:

A (a = 1)

Step-by-step explanation:

A coordinate point is always in the form (x,y) that means the first point is always x-coordinate and the second point is always y-coordinate.

The equation given is:

5x + y = 8

The point is (a,3), so that means x = a and y = 3

We substitute the values into the equation and find a. Shown below:

5x + y = 8

5(a) + (3) = 8

5a + 3 = 8

5a = 8 - 3

5a = 5

a = 5/5

a = 1

Answer choice A is right

6 0

2 years ago

Matt bought some boards to build a wooden deck. Some of the boards were 4 ft long and some of the boards were 5 ft long. He boug

Kazeer [188]

Answer:

8 boards.

Step-by-step explanation:

Since he bought a few of each length. The only combination that works is when he bought 5 of the 4 ft long board so 4×5=20. Than he bought 3 of the 5ft boards 3×5=15. 20+15=35 ft worth of boards.

4 0

2 years ago

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