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ludmilkaskok [199]
3 years ago
7

2" alt="4x+6over 7\ \textless \ 2" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Answer:

Inequality form: x<2/7

Interval notation: (-infinity, 2/7)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Evaluate the expression. [(3–5)(34)]3
yawa3891 [41]

Answer:

-204

Step-by-step explanation:

(3−5)(34)(3)

=−204

7 0
2 years ago
Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter
galina1969 [7]

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

x*0,04+(100000-x-y)*0,05+y*0,06=5250

From the equation it is found that:

y=25000+x

Instead of y, if we put 25000+x the equation will be as following:

x*0,04+75000*0,05+(25000+x)*0,06=5250

From the equation it is found that:

x=5000

Short-Term investment is 5000$

x+25000=y

Long-Term investment is 30000$

Rest of the money is Intermediate-Term investment 65000$

5 0
3 years ago
A tennis instructor chargers $40 for each one hour lesson and $25 for each half hour lesson if the instructors I come from 35 le
kaheart [24]
X = 1 hr lessons and y = 1/2 hr lessons

x + y = 35......y = 35 - x
40x + 25y = 1115

40x + 25(35 - x) = 1115
40x + 875 - 25x = 1115
40x - 25x = 1115 - 875
15x = 240
x = 240/15
x = 16 <=== there are 16 one-hr lessons
and 19 half-hr lessons
7 0
3 years ago
What is the measure of PSQ in degrees? Angle PSR measures 99°.
11111nata11111 [884]

we know that

Step 1

Find the value of x

m∠PSR=99°

m∠PSR=(3x+18)+(9x-27)°

so

99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees

Step 2

Find the value of m∠PSQ

m∠PSQ=(3x+18)

m∠PSQ=(3*9+18)

m∠PSQ=45°

therefore

the answer is the option

C) 45 degrees

8 0
3 years ago
Read 2 more answers
Write 4/14 in simplest form
kondaur [170]

Answer:

2/7

Step-by-step explanation:

14/2=7. 4/2=2 .2/7 is the answer

7 0
2 years ago
Read 2 more answers
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