Step-by-step explanation:
since they are consecutive even numbers, one is bigger by 2 than the other number.
so,
x + (x + 2) = 214
2x + 2 = 214
x + 1 = 107
x = 106
so, the 2 numbers are 106 and 108.
2 over 3 take 1 over 2
Answer:
-1/6
Step-by-step explanation:
(2/3-1)/2
(-1/3)/2
-1/6
Suzanne has 15 books and will buy 3 more each month. Jack has 57 books and will sell 4 books each month. After how many months will they have the same number of books? How many will that be?
They would both have the same number of books after 6 months.
The number of books they would have is 33.
This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x
This expression can be used to determine the number of books Jack would have after x months: 57 - 4x
In order to determine the month in which both people would have the same number of books, equate both expressions.
15 + 3x = 57 - 4x
Combine similar terms
3x + 4x = 57 - 15
7x = 42
Divide both sides b y 7
x = 6
Number of books they would have : 15 + 3(6) = 15 + 18 = 33
A similar question was answered here: https://brainly.com/question/21014980?referrer=searchResults
NEED ASAP ! WORTH 20 POINTS
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answer:
-1
Step-by-step explanation:
Using the formula to find gradient or slope:
m = (y2 - y1)/ (x2 - x1)
Using any two points from the graph: (-2, 0) (0, -2)
Substitute this into the equation to get the answer of -1.
x m 1,5 m and 1,5 m
x² = (1,5)² + (1,5)²
x² = 2,25 + 2,25
x² = 4,5
x = 2,1m
[tex]\bold{\underline{Solution : -}}[/tex]
[tex]\sf a^2 + b^2 = c^2[/tex][tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]
[tex]\sf x^2 = 2.25 + 2.25 [/tex]
[tex]\sf x^2 = 4.5 [/tex]
[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]
3. George is at the craft show selling homemade ice cream. He must pay
$45 for a booth rental and costs him $3.50 to make each Ice cream
cone. He sells each ice cream cone for $5.00.
The inequality 45 + 3.50c < 5c represents the situation in which George
makes a profit
a). Will George make a profit if he sells 29 cones? Explain why or why not.
Answer:
no 146.5 > 145
Step-by-step explanation:
The age of father is 30 yeays more than that
of hs Son. Aller 5 years.Fother's age will be thrice of his
Find thiey present age
Step-by-step explanation:
check the attached file
Solve each proportion.
5/n=6/12
Answer:
5/n=6/12n = 6/12×5n = 6/60n =1/ 10n = 1:10Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?
Answer:
Betty is 15.
Mike is 5.
Step-by-step explanation:
We can let Betty's age be b and Mike's age be m.
Since Betty's age is 3 times of Mike, then
[tex]b=3m[/tex]
In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.
Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].
We know that [tex]b=3m[/tex], so we can substitute that:
[tex]3m+5=2(m+5)[/tex]
Expand:
[tex]3m+5=2m+10[/tex]
Subtract 5 from both sides:
[tex]3m+5-5=2m+10-5[/tex]
[tex]3m=2m+5[/tex]
Subtract 2m from both sides:
[tex]3m-2m=2m+5-2m[/tex]
[tex]m=5[/tex].
Mike is 5 years old.
Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]
Please help- It's due this week.
100x + 150y = 3,050
x + y = 23
Graph the system of equations and plot the intersection point
plz help with this one its the last question I need to pass this assignment
Answer:
x = 20
Step-by-step explanation:
these 3 angles form a straight line, which is 180°
3x + 80 + 2x = 180
5x + 80 = 180
5x = 100
x = 20
1st ∡ = 3(20) or 60°
3rd ∡ = 2(20) or 40°
Answer:
20
step by step explanation:
this angle is an angle on a straight line; which means, it is 180 degrees.. so :-
2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written
5x + 80 = 180n it became 5x coz u have to add the like terms
5x = 180 - 80 u have to subject the 5x
5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it
x = 20
2x = 40 (20 × 2)
3x = 60 (20×3)
hope this helps ☆☆☆
On the first day, a shoe shop sold 40 pairs of shoes and every day after it sold 20 more pairs of shoes.
Write an equation in slope-intercept form that describes the number of shoes sold.
Answer:
Step-by-step explanation:
Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN
Answer:
SAS∆LMN ~ ∆GHNStep-by-step explanation:
If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.
LG/MH = 12.5/10 = 1.25
GN/HN = 40/32 = 1.25 . . . . so the triangles are similar
__
The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.
Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.
F = 1/5 gh^2
solve for h
Answer:
First of all, let's multiply both sides by 5, clearing the denominators:
Then, as long as g is not zero, we can divide by g, and let's read right to left:
At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:
If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.
Can someone help!!!!
Answer:
X = 2/3 and Y = 3
Step-by-step explanation:
Matrix: 3 -1 -1
-3 5 13
Main determinant:
| 3 -1 |
| -3 5| = 12
Dx: |-1 -1|
|13. 5| = 8
X = 8/12 = 2/3
Determinant y:
|3 -1|
|-3 13| = 36
Y = 36/12 = 3
13 What is the equation of the line that has a slope of -3 and passes through the point (4,6)?
A-3x+y=-14
B -3x+y=-6
C 3x+y=18
D 3x+y=22
Step-by-step explanation:
the general equation of a line is
y = ax + b
a is the slope of the line.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
6 = -3×4 + b = -12 + b
18 = b
so, the full line equation is
y = -3x + 18
which is answer C : 3x + y = 18
LOL ITS ME AGAIN STOP SCROLLING N HELP MEEE PLS. ALSO DONT MIND DIRTY SCREEN
Answer:
12/16 9/12
3/4
Step-by-step explanation:
12/16 = 15/20 = 9/12
scale factor = 3/4
Answer:
The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].
the scale factor is [tex]\frac{3}{4}[/tex].
Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.
simplify this addition x+(-x)+r
Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
a.write and solve an inequality to answer the question
b. each pizza serves 4 people. if 22 people reply that they will attend the party, how many pizzas should grace buy? explain your reasoning.
im sorry its alot but this will help me lots
Answer:
A. She can buy 8 pizzas; B. At least 6 pizzas.
Step-by-step explanation:
Since Grace has $105, we can set our inequality to be less than or equal to that amount of money. We also know she needs to spend $25 on the cake no matter what. Assuming x is the amount of pizzas she can buy and each pizza costs $9.25, our inequality looks like this:
9.25x + 25 ≤ 105
To solve this inequality, we first subtract 25 from both sides, which gives us:
9.25x ≤ 80
Then we divide by 9.25 on both sides, giving us:
x ≤ 8.6486
Since Grace is only able to buy whole pizzas, the most she can buy is 8 pizzas.
If each pizza serves 4 people and there are 22 people attending, we need to be able to feed 22 or more people. We can use this inequality, where x is still the number of pizzas.
4x ≥ 22
Dividing both sides by 4, we get:
x ≥ 5.5
Again, assuming we can only buy whole pizzas, we would need at least 6 pizzas to feed the entire party.
Translate to an algebraic expression
1. double a number increased by one is seventeen
2. Three less than a number is twelve
3. Triple a number is the same as double the number increased by five
4. Double a number increased by two is the same as the sum of the number and eight
Answer:
1) 2n + 1 = 17
2) n - 3 = 12
3) 3n = 2n + 5
4) 2n + 2 = n + 8
Step-by-step explanation:
Use "n" to represent the unknown number.
For question one:
we double the number → 2n
then we increase (add) by one → + 1
is (equal) to seventeen → = 17
For question two:
three less (minus) than a number is (equals) twelve → n - 3 = 12
Question three:
triple (times 3) a number is the same (equal) as double (times 2) the number increased (add) by five → 3n = 2n + 5
Question four:
double (times two) a number increased (add) by two is (equals) the same as the sum (add) of the number and eight → 2n + 2 = n + 8
Graph the following features: Slope = 4 Y-intercept = 4
Answer:
Step-by-step explanation:
Equation of the line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
m=4b=4[tex]\\ \sf\longmapsto y=4x+4[/tex]
helpppp me pleaseee
Answer:
C
Step-by-step explanation:
¿Cuál es el recíproco de 3 3/7
Answer:
[tex]3 \frac{3}{7} \\ = \frac{24}{7} \\ [/tex]
[tex]The \: reciprocal \: of \: \frac{24}{7} = \frac{7}{21} .[/tex]
what is the coordinate of the point A?
A) - 0.04
B) - 0.03
C) - 0.02
D) 0
Solve the following system of equations graphically on the set of axes below.
Answer:
x=2, y=3
Step-by-step explanation:
First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.
Plugging these values in the equations for x and y, you can see if these are the correct answers:
(3)=3(2)-3, (2)+(3)=5
Since both of these are true, you have the right answer.
Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D
Answer:
graph ab
Step-by-step explanation:
Step-by-step explanation:I just did it and got it right...
What two-dimensional cross-sections could be created by slicing a triangular prism?
Select all that apply.
trapezoid
hexagon
square
rectangle
ellipse
triangle
Answer:
Triangle I think
Step-by-step explanation:
Answer:
Step-by-step explanation:
triangle
Gaya spends $48 to buy books that cost Sx each.
(a) Write down an expression, in terms of x, for the number of books Gaya buys.
(b) Myra spends S60 to buy books that cost S(x+2) each.
Gaya buys 4 more books than Myra.
Show that x^2+5x-24 = 0.
The relationships between the amount spent on books and the cost of
each book is a proportional relationship.
The correct responses are;
[tex](a) \ \displaystyle \mathrm{The \ number \ of \ books \ Gaya \ buys \ is } \ \underline{\frac{48}{x} \ books}[/tex][tex]\mathrm{(b) \displaystyle \underline{ \left(\frac{48}{x} -4 \right) \cdot \left(x + 2 \right) - 60 = x^2 - 5 \cdot x - 24 = 0}}[/tex]Reasons:
The amount Gaya spends on books = $48
The cost of each book = $ x
(a) The expression in terms of x for the number of books Gaya buys is therefore;
Number of books Gaya buys × $ x = $48
Therefore;
[tex]\displaystyle Number \ of \ books \ Gaya \ buys = \frac{\$48}{\$ x}[/tex](b) The amount Myra spends to buy books = $60
The cost of each book = $·(x + 2)
The number of books Myra buys = The number of books Gaya buys - 4
We have;
[tex]\displaystyle Number \ of \ books \ Myra \ buys = \frac{48}{x} - 4[/tex]
Which gives;
[tex]\displaystyle \mathbf{\left(\frac{48}{x} - 4 \right) \cdot \left(x + 2 \right)} = 60[/tex]
Using a graphing calculator, we get;
[tex]\displaystyle \frac{4 \cdot x^2 - 20 \cdot x - 96}{x} = 60[/tex]
4·x² - 20·x - 96 = 60·x
Which gives;
4·x² + 40·x - 60·x - 96 = 0
4·x² - 20·x - 96 = 0
x² - 5·x - 24 = 0
Learn more here:
https://brainly.com/question/17627037
Find the solution set of this inequality. Enter
your answer in interval notation using grouping
symbols.
| 2x+3 | <= 3
Answer:
-3 ≤ x ≤ 0
Step-by-step explanation:
2x + 3 ≤ 3
2x ≤ 0
x ≤ 0
-2x - 3 ≤ 3
-2x ≤ 6
x ≥ -3
Louise buys 4 pencils for £1.20. How much does one cost? :)
Answer:
O.3 pound
Step-by-step explanation:
1.20/4=0.3 pound
Answer:
1.20 divided 4 = 0.3
One pencil costs £0.3
Step-by-step explanation:
find the the equations of the circle passing through (1, 4) and having the diameters of 3x-4y=1 and 2x+y=8?
Answer:
In order to write the equation of a circle, we need two things their centre as well as the radius. so….diameter always intersect each other at the centre of the circle, hence after solving the equation of diameter, we get the intersecting point(x, y)=(3,2). now, we have already given one point…and as per the question circle passing through that point itself. so by applying distance formula, we can obtain the value of radius. thus we get radius 2√2. now we have required things to get the equation of a circle. we know the standard equation of circle having centre =(x1,y1) and radius = r is (x-x1)²+(y-y1)²=r² hence we can find the equation of circle by putting the coordinate (x1,y1)=(3,2) and radius =2√2 in the above mentioned standard equation.
Step-by-step explanation:
:3