Start by assigning a variable name to the "number" -- call it x.
Now write out what they say:
"The product of 1/3 and the sum of a number and 3" -- that's 1/3 times x + 3, or (1/3)(x + 3) or (x + 3) / 3
It's "between negative one and five"
So that means:
-1 < (x + 3) / 3 < 5
So now solve this inequality. First multiply everything by 3.
-3 < x + 3 < 15
Subtract 3 from all the terms:
-6 < x < 12
So the answer is, all numbers between -6 and 12
Answer:
I think it's 16
Step-by-step explanation:
what is the area of a trapezoid that has a height of 12 and it’s parallel sides measure 15 and 20? Show the steps in your work.
Answer:
Area of trapezoid = 210 unit²
Step-by-step explanation:
Given:
Height = 12 unit
Parallel side a = 15
Parallel side b = 20
Find:
Area of trapezoid
Computation:
Area of trapezoid = [(a+b)/2]h
Area of trapezoid = [(15+20)/2]12
Area of trapezoid = 210 unit²
A stack of 6 books weighs 4.8 pounds. If each book weighs the same amount, how much does each book weigh?
Answer:
Each book weights .8 pounds
Step-by-step explanation:
Take the total weight and divide by the number of books
4.8 /6
.8 lbs
Each book weights .8 pounds
Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3years?
Please help find the volume in inches
Answer:
504 inches^3
Step-by-step explanation:
you multiple the height x length x width
The MTC Theater holds 250 people, and last night’s performance sold out! Students paid $3.00 per ticket, while adults paid $5.00 per ticket. Last night’s show brought in $1050.
Write a system of equations for the problem.
9514 1404 393
Answer:
s + a = 2503s + 5a = 1050Step-by-step explanation:
Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...
s + a = 250 . . . . . . total of tickets sold
3s +5a = 1050 . . . dollar value of tickets sold
_____
The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.
If x=7 and y=-3 xy/3 + 2
Answer:
-5
Step-by-step explanation:
x = 7
y = -3
[tex]\frac{xy}{3} +2\\\\\frac{7(-3)}{3} +2\\\\\frac{-21}{3} +2\\\\-7+2\\-5[/tex]
Show whether or not the points with coordinates (1,3) (4,2) (-2,6) are vertices of a right triangle
Answer:
No
Step-by-step explanation:
See attached
can someone help please 13 points and those are the only answer options for all 4
Answer:
1 - x-axis, 2 - y-axis, 3 - y-axis, 4 - x-axis
Step-by-step explanation:
does anyone know the answer to this?
Answer:
I think she has about 3 segments for sprinting and 6 segments for jogging
Mrs. Crosland asked students to factor the expression 28x - 8. The students offered the answers shown
Carlos: 2(14x - 4)
Danny: 7(4x - 1)
Irene: 4(7x - 2)
Which student(s) offered answer(s) equivalent to the original expression?
Equivalent expression for the given expression is
4(7x-2)
Irene offered answer equivalent to the original expression
Given :
Mrs. Crosland asked students to factor the expression 28x - 8
The student are given some expression . To find correct expression , we need to factor the given expression
[tex]28x-8[/tex]
Both 28 and 8 are divisible by 4
Lets factor out 4 from the given expression.
When we factor out 4, then we divide each term by 4
[tex]28x-8\\4(\frac{28}{4} -\frac{8}{4} )\\4(7x-2)[/tex]
The students offered the answers shown
Carlos: 2(14x - 4)
Danny: 7(4x - 1)
Irene: 4(7x - 2)
so , from the answer we can say that Irene offered answer equivalent to the original expression
Learn more : brainly.com/question/22345708
-3x + y = 1 4x + y = 8
-3x+y=1
/-3 /-3
x+y=-1/3
4x+y=8
/4 /4
x+y=8
---
hope it helps
Answer:
x=-1y-9
Step-by-step explanation:
write the equation fully simplified slope intercept form
Answer:
y = -1/5x - 1
Step-by-step explanation:
The line crosses the y axis at -1, making it the y-intercept.
Since the line is going downwards from left to right, we know that it is a negative slope.
The line goes down one and 5 right. That makes the slope -1/5.
The equation is y = -1/5x - 1
4x+a=4x+3. How do you get to 6? Please explain and write down like you would write on paper.
Answer:
a=3 x= all reals
Step-by-step explanation:
I actually did not get 6 for an answer
4x+a=4x+3
cancel equal terms on both sides of the equation
a=3
which means the x would be all reals cause it is true.
Solve the system by graphing.
y = −x + 2
y = −4x − 1
The solution of the system is
Answer:
(-1,3)
Step-by-step explanation:
A boogie board that normally sells for $69 is on sale at a 35% discount. what is the total cost of the boogie board?
Answer: 44.85
Step-by-step explanation:
Use the diagram to solve for x.
Answer:
8
Step-by-step explanation:
You know that the horizontal lines are parallel to each other.
The 8 and x is both on that diagonal right there. Since the horizontal lines are parallel, that means the angle of 8 should have the same angle as x.
*I forgot what this thing was called but please trust me i learned this before*
for the equation below y=2.5^x-6
what is the y intercept of the graph
a) -6
b) -5
c) -3.5
d) 2.5
Answer:
kvh
Step-by-step explanation:
m
If cost of 15 eggs is ? 75, then find out the cost of 4 dozens eggs.
Answer:
Each egg is $5 so 4 dozen(48) is $240
Step-by-step explanation:
the way to do this is 75/15= 5
and then you multiply 12 x 4 to get 48 eggs
and then multiply 48 x 5 to get $240
15:75
divide each by 5
3:15
(4 dozen is 48 -> 48/3 = 16)
multiply each by 16
48: 240
240the length width and height of a box form an arithmetic sequence. if the surface area of the box is 365.04 square units and the box's smallest dimension is 3 units, what is the volumes of the box in cubic units?
Answer:
the answer will be 365.04÷3
=121.68
(c)x(c)x(c)x(c)x(c)x(c)?
Help please
Calculate the area of the shape below
3 1/2
Answer:
option B by using formula of area of circle.what type of angels are shown
Answer:
? and 46 degrees are same side interior angles.
They are supplementary in that their sum is 180 degrees.
FYI: ? = 180-46 = 136 degrees
what the answer for the poles in feet.
Answer:
A)10 feet tall
Step-by-step explanation:
The man casts a shadow half his height and so does the telephone pole
please help as soon as possible
Answer:
∠ABC = 54°
Step-by-step explanation:
an inscribed angle is 1/2 the size of an incenter angle.
so:
∠AMC = 2(∠ABC)
10x - 12 = 2(4x + 6)
10x - 12 = 8x + 12
simplify:
2x = 24
x = 12
∠ABC = 4(12) + 6 = 54°
which is the distance between the point with the coordinates (-2,3) and the line with the equation 6x-y=-3
Answer:
I think it is 6x+3=y (y=6x+3)
May i get some help with a step by step concept of the first question please
9514 1404 393
Answer:
J 3/4 cup
Step-by-step explanation:
Step 1: read and understand the question.
The question is giving you amounts of flour and 2 types of sugar.
The question is asking for a difference between two quantities:
the amount of flour (2 1/4 cups)the combined amount of sugar (3/4 cup white, 3/4 cup brown)Step 2: determine the relations you need to use to solve the problem
You need the combined amount of sugar, which you find by adding the quantities of each of the kinds.
3/4 cup white + 3/4 cup brown = 6/4 cup sugar combined
You need the difference of that quantity from the quantity of flour, which you find by performing subtraction:
flour - sugar = (2 1/4) - (6/4) . . . . cups
Step 3: Use your knowledge of arithmetic.
(2 1/4) -(6/4) = 9/4 -6/4 = (9 -6)/4 = 3/4
Step 4: Answer the question that was asked.
The difference between the flour and sugar amounts is 3/4 cup.
Alan has read 70% of a book and he has 15 pages left to read. How many pages are in the book
Answer:
Step-by-step explanation:
find AB and BC with the help of given in figure complete following activity
Answer:
let base side be x=AB=BC
by using Pythagoras law
h²=p²+b²
(√8)²=x²+x²
8=2x²
x²=8/2
x=√4=2=AB=BC
Step-by-step explanation:
sin BAC=BC/AC
<BAC=sin-¹(2/√8)=45
how would i graph
y=− 5/2x-3
and
x−y=−4
(_,_)
Given:
The system of equations is
[tex]y=-\dfrac{5}{2}x-3[/tex]
[tex]x-y=-4[/tex]
To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for [tex]y=-\dfrac{5}{2}x-3[/tex] is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for [tex]x-y=-4[/tex] is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).
What number is 16% of 46? Which equation and solution represents each situation?
Answer:
the answer to this question is 7.36....its equation is 16/100*46
Answer:
7. 36 is the answer.
Step-by-step explanation:
but, what equation, and what situations?