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3 years ago

7.9% - 0.25 = 3.2 + x

Mathematics

2 answers:

iren2701 [21]3 years ago

7 0

Answer:x=−3.371

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7.9

100

−0.25=3.2+x

0.079+−0.25=3.2+x

(0.079+−0.25)=x+3.2(Combine Like Terms)

−0.171=x+3.2

Step 2: Flip the equation.

x+3.2=−0.171

Step 3: Subtract 3.2 from both sides.

x+3.2−3.2=−0.171−3.2

x=−3.371

seraphim [82]3 years ago

3 0

Answer:

x = 3.391

Step-by-step explanation:

first you calculate.

7.9% - 0.25 = 3.22 + x

divide the numbers

$\frac{7.9}{100}$ - 0.25 = 3.22 + x

calculate again.

0.079 - 0.25 = 3.22 + x

move the terms

-0.171 = 3.22 + x

add the numbers

-x = 3.22 + 0.171

then change the signs

-x = 3.391

Final ans : x = -3.391

or some alternate answer's

x = - $\frac{3391}{1000}$ , x = -3 $\frac{391}{1000}$

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Sergeu [11.5K]

Solve for x by simplifying both sides of the equation, then isolating the variable.

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3 years ago

Read 2 more answers

5+5-6+10-100 what is the answer

timama [110]

Answer:

-86

Step-by-step explanation:

5+5=10

10-6=4

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3 years ago

Triangle QRS is dilated according to the rule DO,2 (x,y).

Gemiola [76]

The correct options about the dilation are; Options A, B and E

<h3>How to interpret Dilated Objects?</h3>

From the given information, find attached a dilated image.

The scale factor is 2

QRS → Q'R'S' = (x,y) → 2(x,y)

The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)

To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.

2(x, y) = (2x, 2y)

The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)

To determine the statements that are true about the image ΔQ'R'S,

Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.

A) DO, 2 (x, y) = (2x, 2y)

A dilation about the origin with a scale factor 2 is described using the above notation.

Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)

R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)

S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)

Thus Option A is correct.

B) Side Q'S' lies on a line with a slope of -1

Q' (-6, 6)

S' (-2, 2)

coordinate (x, y)

Slope = m = (change in y)/(change in x)

m = (6-2)/[-6-(-2)]

m = 4/(-6+2) = 4/-4

m = -1

Option B is correct

c) QR is longer than Q'R'

Length of QR (-3 to 2) = 5

Length of Q'R' (-6 to 4) = 10

QR is not longer than Q'R'

Option C is false

d) The vertices of the image are closer to the origin than those of the pre-image.

From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.

Option D is False

e) The distance from Q' to the origin is twice the distance from Q to the origin.

The distance from Q' to the origin (6 to 0) = 6

The distance from Q to the origin (3 to 0) = 3

The distance from Q' to the origin = 2(the distance from Q to the origin)

Option E is correct.

Read more about Dilated Objects at; brainly.com/question/10253650

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8 0

2 years ago

A road crew took 3 days to pave a road. On the first day they paved 2/5 of the road, and on the second day they 1/3 of the road.

bazaltina [42]

Answer:5625 yards

Step-by-step explanation:

2/5=6/15

1/3=5/15

6/15+5/15=11/15

(15/15)-(11/15)=4/15

1500/4=375

375×15=5625

3 0

3 years ago

A 6m ladder leans against a wall. The bottom of the ladder is 1.3m from the wall at time =0sec and slides away from the wall at

icang [17]

Answer:

- 0.100

Step-by-step explanation:

Length of the ladder, H = 6 m

Distance at the bottom from the wall, B = 1.3 m

Let the distance of top of the ladder from the bottom at the wall is P

Thus,

from Pythagoras theorem,

B² + P² = H² .

B² + P² = 6² ..............(1) [Since length of the ladder remains constant]

at B = 1.3 m

1.3² + P² = 6²

P² = 36 - 1.69

P² = 34.31

P = 5.857

Now,

differentiating (1)

$2B(\frac{dB}{dt})+2P(\frac{dP}{dt})=0$

at t = 2 seconds

change in B = 0.3 × 2= 0.6 ft

Thus,

at 2 seconds

B = 1.3 + 0.6 = 1.9 m

therefore,

1.9² + P² = 6²

P = 5.69 m

on substituting the given values,

2(1.9)(0.3) + 2(5.69) × $(\frac{dP}{dt})$ = 0

1.14 + 11.38 × $(\frac{dP}{dt})$ = 0

11.38 × $(\frac{dP}{dt})$ = - 1.14

$(\frac{dP}{dt})$ = - 0.100

here, negative sign means that the velocity is in downward direction as upward is positive

5 0

4 years ago

7.9% - 0.25 = 3.2 + x​

7.9% - 0.25 = 3.2 + x