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3 years ago

-12 = 4x + 1 solve algebra

Mathematics

1 answer:

Eddi Din [679]3 years ago

4 0

Answer:

$x=-\frac{13}{4}$

Step-by-step explanation:

$-12=4x+1\\4x=-12-1\\x=-\frac{13}{4}$

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In a group of 100 adults, 70 say they are most likely to do spring houseclean-ing in March, April, or May. Of these 70, the numb

son4ous [18]

Answer:

Adults that clean in March = 18

Adults that clean in April = 48

Adults that clean in May = 4

Step-by-step explanation:

Adults that clean in the months of March, April and May = 70

Let a represent March, b represent April and c represent May.

Therefore, a + b + c = 70 (i)

From the question, the number of adults that clean in April is 14 more than number of the adults cleaning in months of March and May combined.

b - ( a + c) = 14 (ii)

also, the total number who clean in April and May is 2 more than three times the number who clean in March.

b + c - 3a = 2 (iii)

From (i), a + c = 70 - b (iv)

Substituting (iv) into (ii), b - ( 70 - b) = 14

b -70 + b = 14

2b = 84, b =48

Therefore a + c = 70 - 48

a + c = 22; c = 22 - a (v)

Substituting (v) and b = 48 into (iii)

48 + 22 - a -3a = 2

4a = 72, a = 18

Therefore, c = 22 - 18

c = 4

8 0

3 years ago

Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti

den301095 [7]

Curl is defined as:

$\bigtriangledown \times F=\frac{ \int F.dr}{Area}$

Which can be rewritten as:

$\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}$

This is because C1 lies on the xy plane and thus it's unit vector will be $\widehat{k}$ .

By similar arguments the rest will follow too.

Now, area of each circle will be: $\pi \times (0.1)^2=0.01 \pi$

Therefore, Curl, as per our definition will be:

$\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}$

Thus, Curl= $40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}$

Which is the required answer.

7 0

4 years ago

Divide. 5,346 ÷ 29 Enter your answer in the boxes as a mixed number in simplest form.

FinnZ [79.3K]

Answer:

$190\frac{26}{29}$

Step-by-step explanation:

____190__

29 | 5346

-29 (29*100=2900)

________

2446

-232 (29*90=232)

________

Therefore, the answer is $190\frac{26}{29}$

3 0

3 years ago

Solve the inequality -3x+1 <7? x > -2 x < -2 x > 2 Pls help meeeee

GarryVolchara [31]

Answer:

x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_

8 0

3 years ago

Zx and Zy are supplementary angles. Zy measures 156° What is the measure of Zx?

cupoosta [38]

Answer:

Zx = 24 degrees

Step-by-step explanation:

since it is supplementary it adds up to 180 degrees. so you have part of the angle (156 degrees) so the equation would be 180 - 156 = Zx (origionally Zx + 156 = 180).

5 0

4 years ago