1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mihalych1998 [28]
3 years ago
9

This is a proportion. What is the value of X?

Mathematics
1 answer:
Verizon [17]3 years ago
7 0

Answer:

x = 15 or x = - \frac{2}{5}

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - \frac{2}{5}


You might be interested in
Round 12502 to nearest thousand
dalvyx [7]
12,500 would be the answer
7 0
3 years ago
Read 2 more answers
The word geometry comes from the greek words geo, which means "earth," and metron, which means "a measuring of." given this info
Leokris [45]

The geometry was developed by a Greek mathematician called Euclid and developed to meet some practical need in surveying, construction, astronomy, and various crafts.

In this question,

Early geometry was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts.

It was developed by a Greek mathematician called Euclid. This branch of geometry deals with terms like points, lines, surfaces, dimensions of the solids, etc.,

In several ancient cultures there developed a form of geometry suited to the relationships between lengths, areas, and volumes of physical objects. This geometry was codified in Euclid's Elements about 300 bce on the basis of 10 axioms, or postulates, from which several hundred theorems were proved by deductive logic.

Hence we can conclude that the geometry was developed by a Greek mathematician called Euclid and developed to meet some practical need in surveying, construction, astronomy, and various crafts.

Learn more about geometry here

brainly.com/question/28247330

#SPJ4

6 0
2 years ago
-2x + 15y = -24<br><br>2x + 9y = 24<br>​
pashok25 [27]

Answer:

dont know

Step-by-step explanation:

sorry

3 0
2 years ago
The circumference of a circular garden is 138.16 feet. What is the radius of the garden? Use 3.14 for it and do not round your a
kobusy [5.1K]

Answer:

11 feet

Step-by-step explanation:

6 0
3 years ago
A grocery store sells a 6-pack of bottle water for $3.79, a 9-pack for $4.50, and a 12-pack for $6.89. Which package costs the l
stiks02 [169]
Cost per bottle

6 pack is 3.79 so the cost per bottle is 3.79/6=$0.631666666666667 per bottle

9 pack is 4.50 so the cost per bottle is 4.50/9=$0.50 per bottle

12 pack is 6.89 so the cost per bottle is 6.89/12=$0.574166666667 per bottle

0.63>0.57>0.50

the one that costs the least per bottle is the 9 pack which costs $0.50 per bottle
5 0
3 years ago
Other questions:
  • Anne has three more dollars than Freddy. Together they have $99. How many dollars does each have?
    9·2 answers
  • What is the approximate area of the circle shown below?
    9·2 answers
  • Find the values of x in this equation: x - (15/x)= 2
    10·2 answers
  • Please help me out!!!!!!!
    8·1 answer
  • The sphere weighs .075pound per cubic inch if the sphere radius is 4inches what is the weight to the sphere to the nearest pound
    9·1 answer
  • Joe got a bonus of $1,600.20 based on a certain percent of his sales for the year, which was $22,860. What percent of his sales
    6·1 answer
  • How many times is six going to 102
    5·1 answer
  • A tungsten resistance thermometer with a range of –270 to þ1100C has a quoted inaccuracy of1.5% of full-scale reading. What is t
    5·1 answer
  • Make y the subject<br> y-aw=2w-1
    9·1 answer
  • Select the correct answer from each drop-down menu. policy is the actions taken by the to influence the real gdp and the inflati
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!