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Angelina_Jolie [31]
3 years ago
12

Write a story or situation that can be represented by the given equation. 4a+5=12a−11

Mathematics
2 answers:
tatuchka [14]3 years ago
7 0

Answer:

Maria is a fan of cookie packages, so she has made the calculations and discovered that 4 packages of cookies plus 5 dollars are equivalent to the price of 12 packages of cookies minus 11 dollars.

a represents the price of a package of cookies,

so we have the 4 packages of cookies plus 5 dollars on one side of the equation

4a+5

and on the other side of the equation the 12 packages of cookies minus 11 dollars

12a-11

and if both sides are equivalent we get:

4a+5=12a-11

Naddika [18.5K]3 years ago
5 0

Answer:

Mia's tickets cost $5 to get to the game and $4 each for a tickets

Andrew gets an $11 discount in the taxi but pays $12 each for a tickets

What number of tickets , a , costs Mia and Andrew the same?

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Which linear inequality is represented by the graph?
yuradex [85]

Answer:

y = 3x + 2

Step-by-step explanation:

The shaded region is somewhat going up, and the graph is positive. That leaves 2 answer choices. If you measure the slope by counting the blocks from one point to another by counting up/down from one point to the height to another point, and then go right or left to the other point. the slope is 3, therefore y = 3x +2 is the answer, as it is the only one that the shaded region is above the line and that has a slope of 3. Hope this helps!

5 0
3 years ago
total of $ 33 comma 000 is to be​ invested, some in bonds and some in certificates of deposit​ (CDs). If the amount invested in
leva [86]

Answer: $17,000 invested in bonds and $13,000 in certificate of deposit

Step-by-step explanation: let x = amount invested in bonds

y = amount invested in certificate of deposits.

According to the question, amount invested in bonds is $4000 more than the amount invested in certificate of deposits.

x = y + $4000 — (1)

Also from the question, the total money for investment is $30,000

x + y = $30,000 — (2)

By substituting eqn (1) into eqn (2), we have

y + 4000 + y = 30, 000

2y + 4000 = 30,000

2y = 30,000 - 4000

2y = 26,000

y = $ 13,000

But x + y = 30,000 where y = 13,000

x + 13, 000 = 30,000

x = 30,000 - 13,000

x = $17,000

Hence $17, 000 is invested in Bonds and $13, 000 in certificate of deposit

7 0
3 years ago
Read 2 more answers
What is the 10th term of the series 4,13,22,31
valentinak56 [21]

Answer:

84 Hope this helps and pls mark me brainliest:)

Step-by-step explanation:

4-31

5-40

6-49

7-58

8-67

9-75

10-84

8 0
3 years ago
Read 2 more answers
Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z
vovikov84 [41]

Plug y=x^2 into the equation of the ellipsoid:

x^2+7(x^2)^2+7z^2=49

Complete the square:

7x^4+x^2=7\left(x^4+\dfrac{x^2}7+\dfrac1{14^2}-\dfrac1{14^2}\right)=7\left(x^2+\dfrac1{14}\right)^2+\dfrac1{28}

Then the intersection is such that

7\left(x^2+\dfrac1{14}\right)^2+7z^2=\dfrac{1371}{28}

\left(x^2+\dfrac1{14}\right)^2+z^2=\dfrac{1371}{196}

which resembles the equation of a circle, and suggests a parameterization is polar-like coordinates. Let

x(t)^2+\dfrac1{14}=\sqrt{\dfrac{1371}{196}}\cos t\implies x(t)=\pm\sqrt{\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}}

y(t)=x(t)^2=\sqrt{\dfrac{1371}{196}}\cos t-\dfrac1{14}

z=\sqrt{\dfrac{1371}{196}}\sin t

(Attached is a plot of the two surfaces and the intersection; red for the positive root x(t), blue for the negative)

4 0
4 years ago
Solve for x round to the nearest tenth if necessary
zloy xaker [14]

Answer:

9.6

Step-by-step explanation:

hope this helps alright!

7 0
3 years ago
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