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user100 [1]
3 years ago
9

X/14=40/70 Solve the proportion for x.

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

8

Step-by-step explanation:

\frac{x}{14}  =  \frac{40}{70}  \\ x =  \frac{40}{70}  \times 14 \\ x =  \frac{40}{10}  \times 2 \\ x = 4 \times 2 \\ x  = 8

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Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell phone plan
MissTica
X=number of months
how much is deducted total=number of months times amount deducted per m onth
amount deducted per month=45
number of months=x
how much deducted total=45x

460-deducted total is more than 100
460-45x>100
solve for x
add 45x to both sides
460>100+45x
subtract 100
360>45x
divide both sides by 45
8>x
answer is 7 months
if he does 8 months, then he will have exatly 100 and 100 is noe more than 100



answer is 7 months
6 0
3 years ago
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A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the circumference in order
dolphi86 [110]
C=Pi X D
Diameter is twice the radius so that would be 24 feet

C = Pi X 24
C = (22/7) X 24
C = 75.428 Feet.
6 0
3 years ago
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What’s the slope of this line?
stiks02 [169]
The slope is 1.

Every time it goes up 1, it goes to the right 1.
4 0
3 years ago
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a) Estimate the volume of the solid that lies below the surface z = 7x + 5y2 and above the rectangle R = [0, 2]⨯[0, 4]. Use a Ri
SSSSS [86.1K]

In the x direction we consider the m=2 subintervals [0, 1] and [1, 2] (each with length 1), while in the y direction we consider the n=2 subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of R are (1, 0), (2, 0), (1, 2), (2, 2).

Let f(x,y)=7x+5y^2. The volume of the solid is approximately

\displaystyle\iint_Rf(x,y)\,\mathrm dx\,\mathrm dy\approx f(1,0)\cdot1\cdot2+f(2,0)\cdot1\cdot2+f(1,2)\cdot1\cdot2+f(2,2)\cdot1\cdot2=\boxed{164}

###

More generally, the lower-right-corner Riemann sum over m=\mu and n=\nu subintervals would be

\displaystyle\sum_{m=1}^\mu\sum_{n=1}^\nu\left(7\frac{2m}\mu+5\left(\frac{4n-4}\nu\right)^2\right)\frac{2-0}\mu\frac{4-0}\nu=\frac83\left(101+\frac{21}\mu+\frac{40}{\nu^2}-\frac{120}\nu\right)

Then taking the limits as \mu\to\infty and \nu\to\infty leaves us with an exact volume of \dfrac{808}3.

7 0
3 years ago
Is it possible to have more than one (x,y)(x,y) pair that is a solution to both equations? Explain or show your reasoning
lesya692 [45]

Answer with step-by-step explanation:

Yes, it is possible to have more that one (x,y) pair because of the distributive property.

6x + 4y = 34. If this is the case, we have to find 2 numbers that sum up to 34.

  • x = 3
  • y = 4

5x - 27 = 15. If we are going to calculate this equation, you need to reverse the equation. 15 + 27 = 42 = 5x. If 42 = 5x, we have to divide 42 by 5, which is 8.4

Hope this helped! (brainliest please)

5 0
4 years ago
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