Overview
6
9
10
12
Question Progress
Homework Progress
13/60
ABC is a straight line.

A
B
С
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.

Answers

Answer 1
AB = 60cm
BC = 15 cm

Call AB x and BC y

x = 4y
And
x + y = 75

Substitute the first value intro eh second equation & solve for a numerical value for y

4y + y = 75
5y = 75
y = 15
Then solve for a numerical value of x

x = 4y
x = 4(15) = 60

Related Questions

how many ways can you arrange 28

Answers

Answer:

In 6 ways 28 can be arranged

Step-by-step explanation:

1 × 28 = 28

2 × 14 = 28

4 × 7 = 28

7 × 4 = 28

14 × 2 = 28

28 × 1 = 28

Thus, In 6 ways 28 can be arranged

-TheUnknownScientist

Give a brief definition of the term population.
a prediction of the entire collection of individuals about which information is required
a prediction about a subset of the entire collection of individuals about which information is required
a subset of the entire collection of individuals or objects about which information is required, selected for study in some prescribed manner
the entire collection of individuals or objects about which information is required

Answers

Answer:

The term population refers to the total number of organisms/people occupying specific area is known as population.

Given the following kite find:

Answers

Answer:

63

Step-by-step explanation:

90+13x+1+28x+7=180

98+41x=180

41x=82

x=2

Plugging in the value of x, we get:

28x+7=28(2)+7=56+7=63

A line segment passing through the centre of the circle and
having its two end points on
the circle is called

Answers

Answer:

Diameter

Step-by-step explanation:

Diameter a line segment passing through the centre of a circle and having its endpoints on the circle is called a diameter of the circle.

find the value of x in the triangle shown below 4 9

Answers

where is the triangle?

Answer:

the answer is 65

Step-by-step explanation:

hopes this helps :)

25 p ² + 70p+49=0
Answer please
Answer please

Answers

Step-by-step explanation:

25 p² + 70p +49=0

(5p + 7)(5p + 7) = 0

(5p + 7) =0

5p = -7

so, P = -7/5

On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?

Answers

Answer: 50 degrees

Step-by-step explanation:

36 - - 14

36 + 14 = 50

Directions: Find the odds and the probability of the event(s) occuring.
There are six boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different
student to answer another question. The
first student is a boy and the second
student is a girl.
P(boy then girl) =
Odds =

Answers

Answer:

12/49

Step-by-step explanation:

samuel can do 9 word problem s in 25 minutes at this rate about how many word problem can he do in 42 minutes​

Answers

Answer:

15 word problems

Step-by-step explanation:

Given that

Samuel can do 9 word problems in 25 minutes

So we need to find out how he can do the word problems in 42 minutes

The calculation is given below;

= 9 × 42 minutes ÷ 25 minutes

= 15.12

= 15 word problems

Hence, the same would be considered and relevant

Read the word problem below.

Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are blue. How many blue marbles does he have?

A student solves this problem by writing an equation. Which strategy could help check the student’s answer?

a) Check that the sum of the final answer, 12, and 15 is 55.
b) Check that the difference of 55 and the final answer is 12
c) Check that the sum of the final answer, 27, and 15 is 55.
d) Check that the difference of 55 and the final answer is 15.

Answers

Answer:

27 are blue  C.

Step-by-step explanation:

a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у

Answers

Step-by-step explanation:

Given equation is x+y=6

Table:-

[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]

What would this expression be when simplified

Answers

Answer:

The first one is the answer

Step-by-step explanation:

Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5

Answers

2.6

Explanation:

The square root of 7 is 2.6 .
It is 2.6 I took the test already and got 100

Can someone help me???

Answers

Answer:

91 cm squared

Step-by-step explanation:

13 x 7 = 91

Answer: 77

Step-by-step explanation:

13 × 7 - (4 × 3) - (2 × 1)

Have a good day :)

Find The Missing Lenght of the right triangle. Round to The Nearest

Answers

Answer:

b ≈ 8.49

Step-by-step explanation:

A^2 + b^2 = c^2.   (Pythagorean theorem)

c is the hypotenuse or the longest side of a triangle.

a and b are the other 2 sides.

17^2 + b^2 = 19^2

289 + b^2 = 361

289 + b^2 - 289 = 361 - 289

b^2 = 72

b ≈ 8.49

Have a great day!

What is the range of y= x + 2?

Answers

Answer:

A) all real numbers greater than or equal to 2

Domain: [tex]x\geq 0[/tex]

Step-by-step explanation:

The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.

Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.

SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.

Answers

Answer:

TQ=SR [since it is isosceles trapezoid]

6x+1.2=9x-48

48+1.2=9x-6x

3x=49.2

x=49.2/3=16.4

now

QR=3×16.4+2.5=51.7

SR=9×16.4-48=99.6

ST=4×16.4-2=63.6

TQ=6×16.4+1.2=99.6

As it's isosceles trapezoid

QT=RS9x-4.8=6x+1.23x=6x=2

Now

QR=3(2)+2.5=8.5

RS=9(2)-4.8=13.2

ST=4(2)-2=6

QT=6(2)-1.2=10.8

A community pool charges $78 for swim lessons and a $2 towel rental fee per day. At the end of the summer Yolanda spends $102. How many days did Yolanda go for swim lessons?

Answers

Answer: 12 days

Step-by-step explanation:

Given

A community pool charges $78 for a swim lesson and $2 for a towel each day

Suppose Yolanda attended the session for x days

So, we can write the total fees of $102 as

[tex]\Rightarrow 102=78+2x\\\Rightarrow 2x=102-78\\\\\Rightarrow x=\dfrac{24}{2}\\\\\Rightarrow x=12[/tex]

So, Yolanda attended the swim lessons for 12 days

What is the value of x?



Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

x =
m

A scalene triangle U V W. Side U V is labeled as 19 meters. Side U W is labeled as x. Angle U is labeled as 81 degrees. Angle V is labeled as 30 degrees.

Answers

Answer:

x = 10.2 m

Step-by-step explanation:

law of sines:

sin 30° / x = sin 69° / 19

cross-multiply:

.5(19) = sin 69°x

x = .5(19) / sin 69°

x = 9.5/.934

x = 10.2

The value of x with the help of sine law is 10.2 units.

What is Sine Law?

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.

Here, Law of sines:

[tex]\frac{Sin A}{a} =\frac{Sin B}{b} = \frac{Sin C}{c}[/tex]

sin 30° / x = sin 69° / 19

1/2x =  sin 69° / 19

cross-multiply:

19/2 = sin 69°x

x = 9.5 / sin 69°

x = 9.5/0.934

x = 10.2

Thus, the value of x with the help of sine law is 10.2 units.

Learn more about Sine Law from:

https://brainly.com/question/17289163

#SPJ2

A rectangular container with a base of 24 inches by 15 inches is 1/3 filled with water. If all the water is poured into an empty rectangular container measuring 12 inches by 18 inches by 10 inches, it will fill the second container to its brim. What is the height of the first container?

Answers

Answer:

18 inches

Step-by-step explanation:

volume of a cuboid = length x breadth x height

the following equation can be derived from the question

let h = unknown height

1/3(24 x 15 x h) = (12 x 18 x 10)

Multiply both sides of the equation by 3

(24 x 15 x h) = (12 x 18 x 10) x 3

Divide both sides of the equation by (24 x 15)

h = 18 inches

-4x + 1 = -11
how do i solve this​

Answers

Answer:

3

Step-by-step explanation:

- 4x + 1 = - 11

- 4x = - 11 - 1

- 4x = - 12

x = - 12 / - 4

x = 3

Answer:

-4X+1=-11

-4x=-11-1

-4x=12

x=12/4

x=3

Find the fifth term when a1=4 and r=-3

Answers

Answer:

a₅ = 324

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex] then

a₅ = 4 × [tex](-3)^{4}[/tex] = 4 × 81 = 324


What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?

Answers

Answer:

Step-by-step explanation:

2006053?

Answer:

2,000 + 600 + 50 + 3 = 2,653

Step-by-step explanation:

What is the probability of spinning a number greater than 4 or an odd number?

Answers

Answer:

3/5 will be greater than 4 while 1/2 will be an odd number.

Determine the value of y, if x is 7.
y = x2 - 1

Answers

Answer:

13

Step-by-step explanation:

If x is 7, then 7 * 2 = 13, and 14 - 1 = 13.

Hope that this helps!

13 because if you plug in 7 y=7(2)-1 then do 7x2 and then it would be 14-1 so 13

Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5

Answers

Answer:

3rd option is correct

Step-by-step explanation:

:)

The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Vertex form of an equation

Given the expression [tex]f(x) = x^2 + x +1[/tex]

The vertex form is expressed as shown below:

[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]

Express the result in vertex form.

[tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]

Learn more on vertex form here: https://brainly.com/question/525947

Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?

Answers

Answer:

[tex]t=3.142sec[/tex]

Step-by-step explanation:

From the question we are told that:

Speed of ball [tex]V=35m/s\approx 80 mph[/tex]

Length of field [tex]l=110m[/tex]

Generally the equation for Time taken [tex]t[/tex] is mathematically given by

 [tex]t=m/V[/tex]

 [tex]t=110/35[/tex]

 [tex]t=3.142sec[/tex]

 [tex]t \approx \frac{3.142}{60}[/tex]

 [tex]t \approx 0.05hrs[/tex]

Therefore it will take the ball to get from one end of the field to the other

[tex]t=3.142sec[/tex]

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=25°, and KL = 26 feet. Find the length of LJ to the nearest tenth of a foot.

Answers

Answer:

55.8 feet

I hope this helps people

A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.

Answers

Answer:

79 minutes

Step-by-step explanation:

A plane is travelling at 180 meters per seconds

Convert to km/hr

180× 18/5

= 648 km/hr

Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is

= 1/648 × 800

= 1 hour 19 minutes

Conver the time to full minutes

60 minutes = 1 hour

= 60+19

= 79 minutes

Hence the minutes required for the plane to travel 800km is 79 minutes

If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?

Answers

Answer:

The image of the given points after the translation is;

(-1,13) , (-2,9) and (-1,-2)

Step-by-step explanation:

By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value

so for (-1,8); it will become (-1, 8 + 5) = (-1,13)

for (-2,4); it will become (-2,4 + 5) = (-2,9)

for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)

Other Questions
The popular general fired by President Harry S. Truman during the Korean War was _?_. It is desired to filter a cell broth at a rate of 3000 liters/h on a rotary vacuum filter at a vacuum pressure of 70kPa. The cycle time for the drum will be 60 s and the cake formation time (filtering time) will be 20 s. The broth to be filtered has a viscosity of 2.0 cP and a cake solids (dry basis) per volume of filtrate of 10 g/liter. From laboratory test, the specific cake resistance has been determined to be 9 x 1010 cm/g. Determine the area of the filter that is required. In Spanish, write 5 sentences using words from the Present Perfect Irregular Verbs list from earlier this week.List of verbs from edge for this are:abiertocubiertodichoescritofritohechomuertopuestoresueltorotovistovuelto Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades? Which statement best describes the problem statement below?Vision: We want to decrease errors in our billings to clients.Issue: Clients complain that they receive multiple bills for the same month. We have one software that keeps track of services made to clients, another software that keeps track of the charges of those services, and another software that bills the clients.Method: Print out services and charges, and enter these values into a billing software.This problem statement is a clear, well-defined problem statement.This problem statement does not clearly define the issues.This problem statement will help stakeholders participate in addressing the problem.This problem statement does not provide a useful statement of method. how does chinas economy affect the united states? 1. combination of DNA may survive environment changes.is this an advantage or disadvantage of internal fertilization ?is this an disadvantage of external fertilization ?is this an advantage or disadvantage of asexual and sexual reproduction ?is this an disadvantage of asexual reproduction ?pls answer this. thank you very much 1. Do you agree with the two parties system? Why or why not? 2. Should the third parties in the United States get more support? Why or why not? NEED HELP PLZ ON ASSIGNMENT afootball of mass 550g is at rest on the ground the football is kicked with a force of 108 newton the footballers boot is in contact with the ball for 0.3 minute what is the kenitic energy of the ball The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation. 5c+4c+2 and 5c+2(2c+1) Which of the following situations could be described by the equation y = 120 - 25x? A random sample of 340 electronic components manufactured by a certain process are tested, and 30 are found to be defective. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answers to three decimal places. The 95% confidence interval for q is ( Consider the figure. What is the area of the figure, in square centimeters? Which event was a cause of the Spanish-American War? Group of answer choices The sinking of the Maine The discovery of the Zimmerman Telegram The construction of the Panama Canal The intervention of the U.S. Forces in Hawaii miles (322,000 kilometers [km]) orTypically, if well maintained, an automotive engine will last many years andmore.Select one:a. 100,000b. 150,000c. 200,000d. 250,000 What are people buying when they invest in a company? Business partner, Computers, Construction tools, Stocks? Give two differences between the structure of bacterial cells and the structure of plant cells. what is simple present and present continuous? can someone explain it to me?