All categories

3 years ago

Solve the equation for x. 2+34=4(x+5)

Mathematics

2 answers:

ozzi3 years ago

7 0

2+34=4(x+5)

distribute

2+34 = 4x+20

combine like terms

36 = 4x+20

subtract 20 from each side

16 = 4x

divide by 4

4 = x

Answer: x=4

Flura [38]3 years ago

5 0

Your equation states 2+34 = 4(x+5)

Let us solve the second part of the equation so it'll be even.

4(x+5)

When parentheses touch a number like that it means you need to multiply the number that the parentheses are touching, by the number(s) inside.

4 × x = 4x

4 × 5 = 20

Now let us restate the equation.

2 + 34 = 4x + 20

Now let us add the first part of the equation

2 + 34 would equal 36

36 = 4x + 20

Lets subtract 20 from each side

36 = 4x + 20

-20 -20

36 - 20 = 16

20 - 20 = 0

Now let us restate the equation

16 = 4x

Divide 4 from both sides

16 = 4x

16 ÷ 4 = 4

4x ÷ 4 = x

You're answer would be,

x = 4

Hope this helped! :D

You might be interested in

Nichole bought a gift for her friend. She

OlgaM077 [116]

Answer:

10 by 5 =50

10 by 5=50

10 by 2=20

2 by 5=10

100+40+20=160

3 0

3 years ago

5.1million x 2.9 thousand

d1i1m1o1n [39]

Answer:

fourteen billion seven hundred ninety millio

4 0

3 years ago

In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?

kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

In ΔWXY, ∠Y=90°

XW = 53

YX = 28

WY = 45

Step:1

Ref the attachment,

Given triangle XWY is right angled triangle.

Trigonometric ratio's,

$Cos$ ∅ $= \frac{Adj}{Hyp}$

For the given attachment, the trigonometric ratio becomes,

$Cos$ ∅ $= \frac{XY}{XW}$ .....................................(1)

Let, ∠X = ∅

Where, XY = 28

XW = 53

Equation (1) becomes,

$Cos$ ∅ $= \frac{28}{53}$

$Cos$ ∅ = 0.5283

∅ = $cos^{-1}$ (0.5283)

∅ = 58.109°

Result:

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

4 0

3 years ago

Helpp!!<br> Simplify : [( 4 1/6 + 2 1/3 ) ÷ 4 1/3 ] - 1 1/2

Nadusha1986 [10]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}$

Step-by-step explanation:

$\sf{ [ (4 \frac{1}{6} + 2 \frac{1}{3} ) \div 4 \frac{1}{3}] - 1\frac{1}{2} }$

Convert the mixed numbers into improper fraction

$\longrightarrow{ \sf{ [ ( \frac{25}{6} + \frac{7}{3} ) \div \frac{13}{3}] - \frac{3}{2}}}$

Add the fractions : 25 / 6 and 7 / 3

While performing addition or subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fraction.

To do so, first take the L.C.M of 6 and 3 which results to 6

$\longrightarrow\sf{ [( \frac{25 + 7 \times 2}{6} ) \div \frac{13}{3} ] - \frac{3}{2}}$

$\longrightarrow{ \sf{ [( \frac{25 + 14}{6} ) \div \frac{13}{3} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ [ \frac{39}{6} \div \frac{13}{3}] - \frac{3}{2} }}$

Multiply the dividend by the reciprocal of the divisor.

Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator

$\longrightarrow{ \sf{ [ \frac{39}{6} \times \frac{3}{13} ] - \frac{3}{2}}}$

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

$\longrightarrow{ \sf{ [ \frac{39 \times 3}{6 \times 13} ] - \frac{3}{2}}}$

$\longrightarrow{ \sf{ [ \frac{117}{78} ] - \frac{3}{2} }}$

$\longrightarrow{ \sf{ \frac{3}{2} - \frac{3}{2} }}$

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same

$\longrightarrow{ \sf{ \frac{3 - 3}{2} }}$

Subtract 3 from 3

$\longrightarrow{ \sf{ \frac{0}{2}}}$

Divide 0 by 2

$\longrightarrow{ \sf{0}}$

Hope I helped!

Best regards!

3 0

3 years ago

write the slope intercept equation for the line that passes through (-8,11) and is perpendicular t 2x -7y=14

SIZIF [17.4K]

$General\ formula:\\y=ax+b\\\\2x-7y=14\\-7y=14-2x\\y=\frac{2}{7}x-2\\\\Line\ is\ perpendicular
 when\ a=-\frac{7}{2}\\y=-\frac{7}{2}x+b\\\\Passes\ through\ (-8,11):\\11=(-\frac{7}{2})*(-8)}+b\\11-28=b\\b=-17\\\\y=\frac{7}{2}-17$

4 0

4 years ago