sum of three number= 98
to find:the second number.
solution:Let the three numbers be x, y and z
Sum of the numbers is 98.
x + y + z = 98………………(i)
The ratio of the first to the second is 2/3.
x/y = 2/3
x= 2/3 × y
x= 2y/3
The ratio of the second to the third is 5/8.
y/z= 5/8
z/y= 8/5
z= 8/5 × y
z= 8y/5
Put the value of x = 2y/3 and z = 8y/5 in (i).
2y/3 + y + 8y/5= 98
49y/15= 98
49y= 98 × 15
49y= 1470
y= 1470/49
y= 30
Therefore, the second number is 30.
answer= option c.
The length of a rectangle is
3x + 7 and the width of the
rectangle is x – 2.
What is the area of the figure?
Answer:
Area = 3x^2 +x -14 units^2
Step-by-step explanation:
Area of a rectangle is (width x height)
Area = (x-2)*(3x+7)
Area = 3x^2 +x -14
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
[tex]\huge\boxed{\sf \frac{5}{8}}[/tex]
Step-by-step explanation:
[tex]\displaystyle =\frac{3}{8} +\frac{1}{4} \\\\LCM = 8\\\\= \frac{3}{8} + \frac{1 \times 2}{4 \times 2} \\\\= \frac{3}{8} + \frac{2}{8} \\\\Add\\\\= \frac{3+2}{8} \\\\= \frac{5}{8} \\\\\rule[225]{225}{2}[/tex]
please help me and answer correctly
Answer:
5(10) + 31= 81
Step-by-step explanation:
x=110 So you plug in 10 for x and multiply 5x10 and then add 31
how many nickels will you need to buy a candy bar that's 20 c
Answer:
4 Nickles
Step-by-step explanation:
to find this out we can devide the total cost (20 ¢) by the worth of the coin we are using (1 Nickel = 5 ¢) as shown below
20 ÷ 5 = 4
what this equation shows is that 4 nickels are needed to add up to a total of 20 ¢
hope this helps
side note, i dont usually say this but at the moment i am 2 crowns away from my next level, so if the answer seems fit to you a crown would be, depending on the other answer, thank you
EDIT:
Additional Example
this method can be applied to most situations, even if you need multiple coin types
say Ron wants to buy a 57 ¢ apple pie slice in exact change, lets assume he has a surplus in the four common coins in his wallet book or pocket
first he uses a quarter and divides as follows
57 ÷ 25 = 2 with a remainder of 7
then he can take a coin of less value then the remainder (in this case a nickel since 5 < 7, and not a dime since 10 > 7)
7 ÷ 5 = 1 with a remainder of 2
and finally with the pennies
2 ÷ 1 = 2
with this info we know that Ron will need 2 quarters, 1 nickel and 2 pennies to have exact change in the least amount of coins
A storage container consists of a box of length 90cm, width 42 cm and height 34 cm, and a lid
in the shape of a half-cylinder, as shown in the diagram. The lid fits the top of the box exactly.
The total exterior surface of the storage container is to be painted.
Find the area to be painted.
Answer:
20079.05 cm^2,
Step-by-step explanation:
Surface area of the box without the lid
= 90*42 + 2(90*34) + 2(42*34) = 12756.
Now find Surface area of the half cylinder:
The diameter of the 2 half circles = 42 so the radius = 21.
The area of the lid
= 2 + 1/2 π (21)^2 + π r * 90
= 7323,052
Total = 20079.052
Which of the following expression(s) are fourth-degree trinomials? select all that apply.
A. 3x2y + 5x3y + 6y4
B.6y4 + 5x3 + 1
C. 5xy − 5x2y2 + 7
D.3y3 + 3x3y3
you have 5 min. thx! bless you!
Answer:
Hi there!
Given :-[tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
So,
=> [tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
=> [tex]\:\mathsf{\frac{k+64}{8}\:=\:19}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:19\:×\:8}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:152}[/tex]
=> [tex]\:\mathsf{k\:+\:=\:152\:-\:64}[/tex]
=> [tex]\:\fbox{k\:=\:88}[/tex]
[tex]\:\sf\purple{Hope\:this\:helps\:you!\::)}[/tex]
Decide whether y is a function of x.
2x + y = 7
2x + y = 7, y is a function of x
Explanation:
2x + y = 7 is a function
===================
Rewrite into slope intercept form
y = 7 - 2x
y = -2x + 7
It is a linear equation (straight line)The vertical line touches the graph only one time. Thus y is a function of x.
Answer:
Given equation: [tex]2x+y=7[/tex]
Definition of a function
A relation is a function if each y-value corresponds to one or more x-values.A relation is not a function if each x-value corresponds to more than one y-value.The given function is in the standard form of a linear equation: [tex]ax+by=c[/tex]
If the given equation is rearranged to make y the subject:
[tex]y=-2x+7[/tex]
it is now in the general form of a linear equation, [tex]y=mx+b[/tex] (where m is the slope and b is the y-intercept).
A linear equation is one of a straight line, and so, by definition, each value of y corresponds to one value of x. Therefore, this is a one-to-one function.
help pls than you you are all the best
Answer:
70
Step-by-step explanation:
[tex]10\div \dfrac 1 7 = 10 \times 7 = 70[/tex]
Answer:
C. | 70
Step-by-step explanation:
C is the correct answer because 10 divided by 1/7 is 70
Hope I helped you!
approx. how much is this
4,754÷1.9≈
Answer:
2502.10526316
≈ 2502.11
Step-by-step explanation:
Hope this helps!
i need to figure out the surface area, i’m really bad at trianglss
Answer:
(288√3 + 504) square mm
Step-by-step explanation:
Area of two equilateral triangles:
2(1/2)(24)(12√3) = 288√3 square mm
Area of three rectangles:
3(24)(7) = 504 square mm
Total area: (288√3 + 504) square mm
Your little brother is using a rather large Amazon box (you know, the one with the smile on the end!) to make a car. He colors the sides of the box red and not the top or bottom, has you write the number 95 on the sides, and calls it Lightning. Which term describes the part of the box that he colored?
Answer choices:
Lateral Area
Area
Area Surface
Area Volume
8-51. Enrollment in math courses at Kennedy High
School in Bloomington, Minnesota is shown in the
circle graph at right. If there are 1000 students
enrolled in math courses, approximately how many
students are enrolled in Algebra? In Geometry? In
Calculus?
ASAP PLS
Answer:
(I am assuming this is just approximation since there are no other numbers, just to be clear :))
Algebra: about 450 students
Geometry: about 250 students
Calculus: about 50 students
needs help please!!!
Please help, im so confused PLEASEEEEE
Answer:
[tex] x^2 -6^2[/tex]
x(x - 6) + 6(x - 6)
Step-by-step explanation:
Area of the white figure
= Area of external square - Area of internal square
[tex] x^2 -6^2[/tex]
This can also be written as:
x(x - 6) + 6(x - 6)
What is the mean height, rounded to the nearest whole number if necessary? 66 68 69 70
Answer:
69
Step-by-step explanation:
I took the quiz and it's right
Answer:69
Step-by-step explanation:
I just got it correct
Which function has a horizontal asymptote of y = 3?
Answer:
f(x) = 2(4^x)+3
this gets you horizontal asymptote of y = 3
Step-by-step explanation:
help please, giving brainliest!!
Answer:
4/52
Step-by-step explanation:
ANSWER QUICKLY FOR BRAINLIEST!!
What is the volume of the triangular prism?
Point A is located at (-3, O) and is rotated 90%. What are the coordinates of point A'?
(-3, 0)
(0, -3)
(3, 0)
(0, 3)
Answer: (0, 3)
Step-by-step explanation:
(x,y) will become (y,-x)
simplify the expressions below
1. 2(n + 5)
2. 12(x + 5- 3y
3 -(a – 4 + 6b)
Answer:
1. 2n + 10
2. 12x + 60 - 36y
3. -a + 4 - 6b
Step-by-step explanation:
1) Distribute the 2.
2(n) + 2(5)
= 2n + 10
2) Distribute the 12.
12(x) + 12(5) + 12(-3y)
= 12x + 60 - 36y
3) Distribute the negative sign.
note: a single negative sign is the same as -1
a(-1) + -4(-1) + 6b(-1)
= -a + 4 - 6b
hope this helps!
Enter the correct answer in the box. the function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. what is the equation of function g? replace the values of h and k in the equation.
The equation of function g(x) is g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively
How to transform the function?The function is given as:
f(x) = 2x² - 1
When the function is translated 7 units left, the transformation rule is:
(x,y) -> (x + 7, y)
So, we have:
g(x) = 2(x -7)² - 1
A quadratic function is represented as:
g(x) = a(x -h)² + k
By comparison, the values of h and k are 7 and -1, respectively
Read more about quadratic functions at:
https://brainly.com/question/18797214
13 × 6 + 11
Which of the following is equal to the expression listed above?
A.
11 × 13 + 6
B.
6 × 13 + 11
C.
6 × 11 + 13
Answer:
Your answer is B
Step-by-step explanation:
6 x 13 +11 = 89
13 x 6 + 11 = 89
TRUE
Answer:
Anwer is B
Step-by-step explanation:
13×6+11=89
so 6×13+11=89
so the true answer is B
What is the area of the regular polygon?
6 m
Answer:
Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula,
The peak of one mountain is 6 mi above sea level. The peak of another is 4 mi below sea level. What is the difference in altitude between the two mountain peaks?
Answer:
difference of 10 min
Step-by-step explanation:
Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero
Answer:
The square root of an imperfect square
Answer:
The square root of an imperfect square
Step-by-step explanation:
The Cold War had a large influence on the foreign relations and actions of the United States around the globe. Describe two ways the Cold War influenced American foreign policy in Latin America?
Answer:
During the Cold War, the political and economic tensions between the U.S. and the Soviet Union shaped Latin American political society. Named as 'Operation Condor', the political crackdown of revolutionary organizations and guerrilla groups on the continent was backed by the North American superpower.
A group wants to visit a water park over
the summer. Tickets cost $10 for each
child and $15 for each adult. The group
has a total of $90 to spend on tickets to
the water park. The equation
10x + 15y = 90 represents the total
cost of the water park tickets and is
graphed below.
Answer:
9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park
Step-by-step explanation:
please help me with the question
I think one two and three are correct if you do the math and put the numbers in the perenthisis (x on the left, y on the right) to the equation then you will get the answer.
∠A and \angle B∠B are vertical angles. If m\angle A=(5x+2)^{\circ}∠A=(5x+2)
∘
and m\angle B=(6x-12)^{\circ}∠B=(6x−12)
∘
, then find the value of x.
Answer:
Step-by-step explanation: