The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4

The Ratio Of Two Side Lengths For The Triangle Is Given. What Is The Value Of Q AB:BC Is 3:4

Answers

Answer 1

Answer:

[tex]q=8.5[/tex]

Step-by-step explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

[tex]\frac{AB}{BC}=\frac{3}{4}[/tex]

Substitute,

[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]

Cross products,

[tex]\frac{60}{10q+15}=\frac{3}{4}[/tex]

[tex](60)(4)=(10q+15)(3)\\\\240=30q+45[/tex]

Inverse operations,

[tex]240=30q+45\\\\195=30q\\\\8.5=q[/tex]


Related Questions

A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the probability that the number on the upward face is divisible by 3. (Enter the probability as a fraction.)

Answers

Answer:

the probability is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

there are 4 numbers on a 12 sided die that can be divided by 3: 3, 6, 9, and 12.

so the probability would be [tex]\frac{4}{12}[/tex], or [tex]\frac{1}{3}[/tex]

Using the concept of probability. The chances of having a value which is divisible by 3 is 1/3

Recall :

Probability = required outcome / Total possible outcomes

Total possible outcomes = Sample space = 12

Required outcome = numbers divisible by 3 :

(3, 6, 9, 2) = 4 outcomes

P(number divisible by 3) = 4 / 12 = 1/3

Therefore, the probability of having a number which is divisible by 3 is 1/3

Learn more : https://brainly.com/question/18405415

A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve children. (Hint: 1 cup = 8 fluid ounces and 1 pint = 16 fluid ounces.)

Answers

Answer:

20 children

Step-by-step explanation:

We can see that 1 pint is equal to 2 cups. Since the jug holds 10 pints of milk, we can convert that to cups by multiplying by 2. We realize that the jug holds 20 pints of milk.

Since each child needs one cup of milk to be satisfied, we can state that the jug can satisfy 20 children.

Answer:

20 childrenyjvvvvggguggggyg

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Answers

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3  = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

asap answer pls -------------------

Answers

Answer:

f(2) = - 5

Step-by-step explanation:

Using the recursive rule and f(1) = - 3 , then

f(2) = 2f(1) + 1 = 2 × - 3 + 1 = - 6 + 1 = - 5

Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555

Answers

Pull out a common factor of 10⁷:

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ × 111

Factorize 10 as 2 × 5, then distribute the power of 7:

… = 2⁷ × 5⁷ × 111

Pull out a factor of 5 and multiply it with 111:

… = 2⁷ × 5⁶ × 5 × 111

… = 2⁷ × 5⁶ × 555

So 555 divides 10⁹ + 10⁸ + 10⁷.

Need help on this!! 10 points!!

Answers

Answer:

Step-by-step explanation:

The change of base formula is

[tex]log_a(b)=\frac{log_{10}b}{log_{10}a}[/tex] so filling in our given:

[tex]log_{13}}(297)=\frac{log_{10}297}{log_{10}13}[/tex] (Note: you do not have to put the base of 10 in the change of base formula because the "normal" base for a log is 10 and that is how your calculator figures it.)

Do this on your calculator to get

[tex]\frac{log297}{log13}=2.2198[/tex] Not sure how many decimal places you needed!

vedanta Excel In Opt. Mathematics - Book 9
8.
Find the locus of a point which moves so that

Its distance from (1, 2) and (2, -3) are equal.​

Answers

(1 ,2) (2,-3)(x1,y1) (x2, y2)

Distance formual

√(x2-x1)^+(y2-y1)^

= √(2-1)^+(-3-2)^= √(1)^+(-5)^ [here square root and square get cancelled]= (1)+(-5)= 1-5= - 4

Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?

Answers

Answer:

Point A

Step-by-step explanation:

The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.

Answer:

A

Step-by-step explanation:

Find the intersection point between the lines of equations:

2x-y+6=0 and 2x+3y-6=0 ​

Answers

Step-by-step explanation:

The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,

[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]

On subtracting the given equations we have,

[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]

Put this value in any equation , we have ,

[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]

Hence the lines will Intersect at ,

[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]

for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x =  − 3 /2  y+ 3  and y= − 2 /3  x + 2

how i did this Step 1: Add -3y to both sides.

Step 2: Add 6 to both sides.

Step 3: Divide both sides by 2.

Please help me!!! ASAP!

Which table represents a linear function?

A. X. Y
2. -46
4. -18
6. 58

B. X. Y
2. -2
4. 4
6. 14

C. X. Y
2. 11
4. 14
6. 17

D. X. Y
2. -6
4. 6
6. 26

Answers

Answer:

ans is C................

I don’t get this pls helppppppp!!!!!!!!!!!!

Answers

Answer:

1) f(x)<x+4

f(x)>-x-3

f(x)<5

[tex]ANSWER: (-3,4)[/tex]

2)2.5>0+2

2.5<0+3

2.5<0+5

[tex]ANSWER: (0,2.5)[/tex]

----------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

Fill in the missing numbers.
0, 1, 5 ,4 ,...., 12 ,.....​

Answers

Answer:

the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........

0,1,2,3.... is a whole number

1,2,3,4.......is a natural number

Three years ago, Daniel bought a baseball card for $20. The baseball card gains a value of $10 each year for the next three years. A friend offers to buy the baseball card foe twice the value, how much would the friend pay?​

Answers

Answer:

The friend would pay $100

Step-by-step explanation:

The price of the card was $20 when Daniel bought it, it gained a value of $10 every year,

since Daniel bought it 3 years ago we will add $30 to $20 as the value increased by $10/year

so the price becomes $50, but his friend says he'll pay twice the value so,

$50×2= $100

Find the inverse of the function y = x2 – 12

Answers

Answer:

y=sqrt(x+12)

i hope this helped and have a nice day/night :)

Question is in the image

Answers

Substitute for the values (1, 0) (3, 0) and (-1, 16)
Only one option works for the x intercepts so it should be easy to pick the correct answer.
You don’t have to use (-1, 16) but it also works.

What is the simplified algebraic expression?

Answers

3x + 2y – 2x + 6.

Solution: 3x + 2y – 2x + 6.

If two angles are supplementary and one angle measure is 110 degrees, what is the measure of the other angle?

Answers

Answer:

70 degrees

Step-by-step explanation:

Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:

110+ x = 180

x = 70

Answer:

70°

Step-by-step explanation:

what is a square plus b square?????????????????

Answers

Answer:

c squared

Step-by-step explanation:

Answer:

C Squared

Step-by-step explanation:

Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|

Answers

Answer:

I don't know I don't know about question

Solve the equation sin(x - 20°) = cos(42º) for x, where 0

Answers

Answer:

[tex]x = 68[/tex]

Step-by-step explanation:

Sine are Cosine are Complementary Angles.

We can use this formula

[tex] \sin(x) = \cos(y) [/tex]

when x+y=90.

Add the expressions in the parentents to 90 and solve for x.

[tex]x - 20 + 42 = 90[/tex]

[tex]x + 22 = 90[/tex]

[tex]x = 68[/tex]

The answer is

[tex]x = 68[/tex]

WILL GIVE 50 POINTS PLS RESPOND FAST!!!!
The table below shows the radius y, I’m centimeters, created by grouping algae in x days:
Time (x) 2 4 6 8
(Days)
Radius(y) 4 7 10 14
(cm)

Part A: what is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [choose the value of the correlation coefficient from 1, 0.97, 0.5, 0.2.]
Part B: what is the value of the slope of the graph of radius versus time between 6 and 8 days, and what does the slope represent?
Part C: does the data in the table represent correlation or causation? Explain your answer.

Answers

Answer:

wait whats your question

Step-by-step explanation:

On Monday, a localamburger shop said a combined total of 225 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number
of hamburgers sold. How many hamburgers were sold on Monday?
hamburgers
х
?

Answers

Answer:

h = hamburgers sold

2h - 72 = 578

2h = 650

2       2

h = 325

There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72

325 - 72 =  253

253 = cheeseburgers

325 = hamburgers

253 + 325 = 578

Hamburgers = 325

Hope this helps :)

Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did sales
increase last year? What percentage did sales decrease this year?
Sales increased
last year, from $5,000 to $10,000. When sales dropped from $10.000 to $5,000 this year, sales decreased

Answers

Answer:

Last year sales increased by 200%. This year sales decreased by 50%.

Step-by-step explanation:

A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.

Answers

Hi there!

[tex]\large\boxed{h = 8in}[/tex]

Area of a triangle:

A = 1/2(bh)

Plug in given values:

60 = 1/2(15h)

Solve for h. Multiply both sides by 2:

120 = 15h

Divide both sides by 15:

120/15 = h

h = 8 in

Answer:

8 inches

Step-by-step explanation:

1. Basics

Area of a triangle: [tex]\frac{1}{2}BH[/tex]

2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking

[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT

8 inches

Hope this helped! Please mark brainliest :)

Mark and John share the cost of a birthday gift. The cost of the gift is $20.48. Mark pays for 2/3 of the gift and John pays for the remaining 1/3. How much did each boy pay?

Answers

Given:

Cost of gift = $20.48

Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].

To find:

The amount paid by each boy.

Solution:

We have,

Cost of gift = $20.48

Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:

[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]

John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:

[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]

Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.

Please help! will give brainly

Answers

Answer:

5/6

Step-by-step explanation:

first form numerator you will multiply by π it means 3.14 multiply 11

the answer equals 34.54 ..and then you will use √ it means square root....so the answer is 5

the annwer is

5/6

Answer:

Step-by-step explanation:

[tex]\frac{11\pi }{6}[/tex] =  11 × [tex]\frac{\pi }{6}[/tex] = (12 - 1) × [tex]\frac{\pi }{6}[/tex]

The terminal point located in IV quarter ⇒ x-coordinate is positive and y-coordinate is negative.

(x, y) = ( [tex]\frac{\sqrt{3} }{2}[/tex] , - [tex]\frac{1}{2}[/tex] )

3. Find the volume of the figure. Simplify.
Cube
x + 4

Answers

Answer:

[see below]

Step-by-step explanation:

V = s^3

V = (x+4)^3

V = x^3 + 3x^2 * 4 + 3x * 4^2 + 4^3

V = x^3 + 12x^2 + 48x + 64

Hope this helps.

Apply the distributive property to create an equivalent expression.
4(x - 2 + y) =4(x−2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals

Answers

Answer:

[tex]4x-8+4y[/tex]

Step-by-step explanation:

We are given that an expression

[tex]4(x-2+y)[/tex]

We have to find an equivalent expression using distributive property .

Distributive property:

[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]

Using the property

[tex]4(x-2+y)=4(x-2)+4\cdot y[/tex]

[tex]4(x-2+y)=4x+4(-2)+4y[/tex]

[tex]4(x-2+y)=4x-8+4y[/tex]

Hence, the equivalent expression  of the given expression is given  by

[tex]4x-8+4y[/tex]

What is the value of a?
A.50 B.90 C.27.5 D.45

Answers

Answer:

[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]

Answer:

B. 90

Step-by-step explanation:

The 45° angle is an inscribed angle that subtends arc a.

An inscribed and measures half the measure of its subtended arc.

45° = (1/2) * a°

a = 2 * 45

a = 90

[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = \pm 5[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]

Other Questions
Explain far Karl Marx's "Class theory". Determine which of the items below would show up on a monthly bank statement. (Check all that apply.)Checks and other debits decreasing the account during the period Deposits and other credits increasing the account during the period Checks that the company has written, but have not cleared the bank yet Beginning-of-period balance in the account End-of-period balance in the account Checks and other credits decreasing the account during the period can anyone answer this? (2y-3xy)y. plssssssss help meeeeeee Solve for x. Round to the nearest tenth of a degree, if necessary Noticing large amounts of algal growth in her small farm pond, a farmer adds about 20 grass carp to feed on the abundant algae and plants. After several years, the carp grow large, exceeding 20 pounds each in size. Late one summer, the farmer notices that the carp and most of the other fish are dead. The water also smells very bad. Which one of the following is the most likely explanation for the death of these fish? A. the algae overgrew the pond and produced toxic levels of ozone B. carbon dioxide released by the carp and algae eventually suffocated the fish in the pond C. the large carp grew so large that they could not get enough oxygen D. bacteria feeding on the large volume of carp feces depleted the oxygen Una muestra de S2 (g) se coloca en un recipiente rgido vaco a 800 K y sta ejerce una presin inicial de 0,92 atm, luego se combina para formar S8 (g) mediante la reaccin: S2 (g) S8 (g) Una vez alcanzado el equilibrio, la presin parcial de S2 (g) ha disminuido a 0,18 atm. Calcule Kp para la reaccin a esta temperatura A cylindrical specimen of aluminum having a diameter of 0.505 in. (12.8 mm) and a gauge length of 2.0 in. (50.8 mm) is pulled in tension. Use the load-elongation characteristics tabulated below to complete parts (a) through (f).a. Plot the data as engineering stress versus engineering strain.b. Compute the modulus of elasticity.c. Determine the yield strength at a strain offset of 0.002.d. Determine the tensile strength of this alloy.e. What is the approximate ductility, in percent elongation?f. Compute the strain energy density up to yielding (modulus of resilience).( Load in N Load in lb Length in mm Length in in. 2.000 2.002 2.004 2.006 2.008 2.010 2.020 2.040 2.080 2.120 2.160 2.200 2.240 2.270 2.300 2.330 Fracture 50.800 7330 15,100 3400 23,100 5200 30,400 6850 34,400 7750 38,400 8650 41,3009300 44,800 10,100 46,200 10,400 53, 47,300 10,650 54.864 47,500 10,700 55.880 46,100 10,400 44,800 10,100 42,600 9600 3,400 8200 Fracture Fracture Fracture 50.851 50.902 50.952 51.003 51.054 1650 51.308 51.816 52.832 848 56.896 57.658 58.420 59.182 The US Constitution divides power between the state and federal governments. Determine whether the following powers are delegated to the federal government, concurrent, or reserved for states. Name ten infrasonic animals. What is true when an object floats in water? A. When an object floats, it exceeds the volume of water available. B. When an object floats, it displaces a volume of water equal to its own volume. C. When an object floats, it does not displace its entire volume. If the maximum loan-to-value ratio that a lender will accept on a house costing $100,000 is 80%, then the borrower must make a down payment of at least: Group of answer choices $100,000. $80,000. $180,000. $20,000. $120,000. What is the slope of the line? What is the y-intercept of the line? y = 5/4x - 3 Factor 2x2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors. Which value of w ww makes 14 = 11 + w 8 6 14=11+ 8 w 614, equals, 11, plus, start fraction, w, divided by, 8, end fraction, dot, 6 a tru Describing the Vertical Line TestExplain what the vertical line test is and how it is used. A balloon at sea level on earth (1 atm pressure, 19C) takes up 14.5 L of space. The balloon travels to Mars where atmospheric pressure is 4.55 torr and the temperature is -55C What is the volume of the balloon on Mars? Please help me answer all these health questions:XTRA POINTSWhat is a survival chain?2. What are the 3 steps of the survival chain, in order?3. Names some common injuries requiring first aid?4. What should you do if an object punctures the skin?5. What is the recovery position? Explain6. Why would you put someone in the recovery position?7. What is poison defined as?8. If poison is ingested, what do you do?Lesson 8 Section 21. What is first aid?2. What is a universal precaution?3. How many degrees of a burn are there, according to the lesson video? Explain each4. What are the 4 types of injuries that can occur to your skin? Explain each one.5. What does CPR stand for?6. What are the 2 steps of CPR?7. What is the universal choking sign?8. What action you should take if someone is choking?9. What are the actions you should take if someone is in shock?Lesson 9 Section 11. To decrease teen violence, what are the 4 protective factors which may help?2. What are some strategies for staying safe?3. What are 4 ways to be safe while online?4. What is the definition of violence?5. What is the % of students who reported being bullied on school property?6. Who should you report bullying to at school?7. Why would someone be hesitant to tell that they have witnessed bullying or that theyhave been bullied?8. What is the difference between bullying and hazing?9. What is hate violence?10. What is the definition of sexual harassment?11. List some ways to reduce the risk of violence?Lesson 9 Section 21. What are common causes and the 4 reasons why violence occurs?2. What are some influences of violence?3. What are the types of violence?4. What are 4 types of abuse? Give an example of each5. Why does dating violence occur?36. How can abuse be progressive?7. Why is violence a cycle? ExplainPrepare for Unit 3 Exam (Optional):1. In the accident chain, what are the five steps connected to unintentional injuries?2. Compare and contrast heat exhaustion and hypothermia. What are safety measures thatcan prevent these conditions?3. What are some ways to keep your home safe and secure?4. What are some ways to prevent unintentional injuries from occurring in the home?5. What are some simple precautions to reduce the risk of injuries from falls?6. What are some safety precautions to prevent electrical shock?7. What are some bicycle safety tips?8. What are the ordered steps in applying a roller bandage to a wound?9. What does the acronym R.I.C.E. stand for and what injuries is it most commonly usedfor?10. Explain the steps in CPR?11. What advice would you give someone providing first aid or CPR to prevent the spread ofdisease through blood or other body fluids?12. Name some strategies to make our communities and schools safer?13. What is the difference between prejudice and discrimination?14. What is the difference between a sexual harassment and a sexual assault?15. What is hate violence and who are the most commonly targeted groups of these hatecrimes?16. Explain how body language, assertiveness and self-defense strategies protect you?17. What are the typical steps in a peer mediation session?18. What are some protective factors that decrease the likelihood of teen violence? Trial 1: Heat 30.0 grams of water at 0 C to a final temperature of 40.0 C.Trial 2: Heat 40.0 grams of water at 10.0 C to a final temperature of 40.0 C.Which statement is true about the experiments? (5 points)The same amount of heat is absorbed in both the experiments because the product of mass, specific heat capacity, and change in temperature are equal for both.The same amount of heat is absorbed in both the experiments because the heat absorbed depends only on the final temperature.The heat absorbed in Trial 2 is about 3,674 J greater than the heat absorbed in Trial 1.The heat absorbed in Trial 2 is about 5,021 J greater than the heat absorbed in Trial 1. Why did tommy consider the book as waste?