Answer:
16, 32, and 64
Step-by-step explanation:
The number is being doubled every time.
The sum of two consecutive even integers is 122. What are the two numbers?
Answer:
Let the first number = xTherefore, the other number = x + 2 (x+2 is so as in two consecutive even numbers there is 1 odd number) Now, According to questionx + x + 2 = 1222x + 2 = 1222x = 122-22x = 120x = 120/2x = 60Now, first no. = x = 60Therefore, second no. = x + 2 = 60 + 2 = 62Equation 60 + 62 = 122Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
The numbers are : 60 , 62
Step-by-step explanation:
Let the two consecutive even numbers be 2x , 2x + 2
2x + 2x + 2 = 122
Combine like terms
4x + 2 = 122
Subtract 2 from both sides
4x = 122 - 2
4x = 120
x = 120/4
x = 30
2x = 2*30 = 60
2x + 2 = 2*30 + 2 = 60 + 2 = 62
Simplyfy (4^7/5^2)^3
Madelyn and her friend Beth are each baking apple pies and tarts for a bake sale, using the same recipes. Madelyn baked 1 apple pie and 3 apple tarts, using a total of 19 apples. Beth made 10 apple pies and 10 apple tarts, which used 110 apples. How many apples does each dessert require?
An apple pie uses ____ apples and an apple tart requires____apples.
Answer:
An apple pie uses 7 apples and an apple tart requires 4 applesStep-by-step explanation:
Apple pie - p, apple tart - t
Set the system as follows:
p + 3t = 1910p + 10t = 110Solve by substitution, p = 19 - 3t:
10(19 - 3t) + 10t = 110190 - 30t + 10t = 11020t = 190 - 11020t = 80t = 4Find the value of p:
p = 19 - 3*4 = 19 - 12 = 7The equations are
x+3y=19--(1)10x+10y=110=>x+y=11---(2)Subtracting both equations
[tex]\\ \sf\longmapsto 2y=8[/tex]
[tex]\\ \sf\longmapsto y=4[/tex]
Put in equation (2)
[tex]\\ \sf\longmapsto x+4=11[/tex]
[tex]\\ \sf\longmapsto x=7[/tex]
a hockey team earns 2 points for a win,1 point for a tie, and 0 points for a loss. the number of points earned can be calculated using this formula
P = 2x + y where P = number of points
x = number of wins
y = number of ties
How many points would a team earn if they played 52 games, won 24 and lost 19?
Answer: 57
Step-by-step explanation: First add the won and lost games then subtract the sum from the total games played to determine how many games were tied. Then take the won games and multiply them by 2, take the tied games, and add them together to get your answer: 57.
HELP PLEASE!!!
Identify a point and two x intercepts to write the x-intercept form equation of each parabola.
x intercepts are 5 and 7
The third point I used was (6,-2); however, you can use any other point you want as long as it's not one of the x intercepts mentioned.
==========================================================
Explanation:
The x intercepts are 5 and 7, where the parabola crosses the x axis. Because of these roots, the two factors are x-5 and x-7.
We can think of the root x = 5 turning into x-5 = 0 after subtracting 5 from both sides. The same goes for x = 7 turning into x-7 = 0.
Put together, the two factors lead to (x-5)(x-7) and we get the equation y = (x-5)(x-7). Plugging either x = 5 or x = 7 into this equation produces y = 0.
-------------------
Notice that plugging in x = 6 leads to...
y = (x-5)(x-7)
y = (6-5)(6-7)
y = (1)(-1)
y = -1
However, the graph shows that x = 6 should lead to y = -2 instead. To fix this, we can stick a 2 out front like so
y = 2(x-5)(x-7)
y = 2(6-5)(6-7)
y = 2(1)(-1)
y = -2
The error has been fixed. As you can see, we need this third point to help nail down the parabolic equation. You can pick any other x value you want as long as it's not 5 or 7.
-------------------
Let's try another x value. Let's say we pick x = 8
y = 2(x-5)(x-7)
y = 2(8-5)(8-7)
y = 2(3)(1)
y = 6
We see that x = 8 leads to y = 6. This matches what the graph shows that (8,6) is a point on the parabola. I'll let you try other x values.
-------------------
In short, we used the roots 5 and 7 to generate the partial factorization (x-5)(x-7). Then we used a third point (6,-2) to help determine the coefficient out front which was 2.
So after using that point, we go from y = (x-5)(x-7) to y = 2(x-5)(x-7) which is the final answer. This is considered x-intercept form because we can quickly read off the x intercepts from this equation.
The local sporting goods store is having a 40% off sale on hockey gear that normally costs $100. You will have to pay a 7% sales tax, based on the discounted price, on any purchase you make. Which statements are true about the problem? Check all that apply.
A.You can simplify the problem by calculating 33% of $100.
B.You should find the discounted price of the gear first.
C.The tax should be calculated on the original $100 price.
D.The discount should be calculated on the original $100 price.
Answer:
a, d
Step-by-step explanation:
Hope this helps
let me know weather it is right or wrong
Which one is not a function? And why not ?
Answer:
the selected answer/2
Step-by-step explanation:
not a function because the same y has 2 different x values
how do i solve -3x--3+8x-24=6x+7-5x
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-3x--3+8x-24=6x+7-5x[/tex]
Two negative signs equate to a positive sign, so we can write [tex]--3[/tex] as just [tex]3[/tex]:
[tex]-3x+3+8x-24=6x+7-5x[/tex]
Add up similar terms:
[tex]5x-21=x+7[/tex]
Add 21 to both sides:
[tex]5x-21+21=x+7+21[/tex]
[tex]5x=x+28[/tex]
Subtract x from both sides:
[tex]5x-x=x+28-x[/tex]
[tex]4x=28[/tex]
Divide both sides by 4:
[tex]\frac{4x}{x} =\frac{28}{4}[/tex]
[tex]x=7[/tex]
PLEASE HELP!
Use a compass and straightedge to complete the following construction Leave all construction marks. Having a sharpened pencil will allow for more precise arcs. Make sure that your construction marks are dark enough to see.
Construct a perpendicular line to the given line through the point on the line.
link to the plot: https://www.mathopenref.com/constperplinepoint.html
Answer:
draw a line straight down through p
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
115°
Step-by-step explanation:
From E to B is 180°.
So when looking at angle ACB we get 65°
The angle ACE is equal to 180° - °65 = 115°
To show this is correct we have to add ACE and ACB and that should equal 180° which is true.
Answer:
115°
Step-by-step explanation:
normally straight lines are 180°
so angle ACF is already 90°
to find E, we need to subtract the 90°and the 65°
here it is: 180-(90+ 65)
= 25°
so finally ACE = 90° + 25°
= 115°
;)
Solve the inequality 2(4x – 3) ≤ 5x – 27
Answer:
( -7, ∞)
Step-by-step explanation:
2(4x - 3) ≥ 5x - 27
8x - 6 ≥ 5x - 27
3x - 6 ≥ -27
3x ≥ -27 +6
3x ≥ -21
x ≥ -7
All numbers great than -7
Find the value of x in the triangle shown below.
102
48
Answer:
The sum of the angles of a triangle is always 180, so the answer is
180-102-48=30
Step-by-step explanation:
7. Write an inequality that matches the graph shown.
Answer:
To make an inequality its in the part that is shaded so
Step-by-step explanation:
(-2,-2) (-4,1) ETC
ggraph this function
Answer:
The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.
Can somebody help me with this. Thank you.
Answer:
There wasn’t any question posted
Step-by-step explanation:
The question was not posted, therefore there is no logical way to help you with the question.
What is 0.375 as a whole percent?
Answer:
0.375 is 37.5 % of 1
Step-by-step explanation:
Boris buys a car for $23,000. The value of this car reduces by 8% each year. Find the number of complete years it takes for the value of the car to fall below $11,500.
Answer:
2 years
Step-by-step explanation:
casue if you multilpy 2 x 11,500 you get 23,000
It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds
Answer:
9 pounds
Step-by-step explanation:
you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds
Find the cosine of angle U
Answer:
1st option
Step-by-step explanation:
cosU = [tex]\frac{asjacent}{hypotenuse}[/tex] = [tex]\frac{UV}{UW}[/tex] = [tex]\frac{15}{17}[/tex]
What is the first time after midnight that all the digits on the display of a digital clock are prime numbers?
Find a point-slope form for the line with slope
and passing through the point (-4,-7).
Answer:
[tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (-4, -7)
Slope m = [tex]\displaystyle \frac{1}{5}[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - -7 = \frac{1}{5}(x - -4)[/tex]Simplify: [tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]simplify 6(x+3-2) (4-x)
Which of the following equations represents a quadratic relation?
Question 1 options:
2x+y=3
y=2x2+1
y=3x+1
y=2x3
Answer:
y=2x^2+1
Step-by-step explanation:
a quadratic equation has a x^2 term
To make 100g of jam you need 57g of strawberries, 17g of blackberries and the rest should be sugar.
What is the ratio of blackberries to sugar?
Give your answer in its simplest form.
6973x63 pls explain how u did it!
Answer:
4,39299
Step-by-step explanation:
I multiplied 3 x all the numbers in 6,973, then 6 x all the numbers (I added a 0 before I multiplied, then added both the products and got my answer.
dose anyone know the answers?
Answer:
Number 1 is 3.5, Number 2 is 4.29(because their are 30 days in april), Number 3 is 11, Number 4 is 90.5 miles per hour(MPH) i think
Step-by-step explanation:
(0, 6) and (2, 96) in exponential function
Answer:
If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
, and solve for b.
If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
. Solve the resulting system of two equations in two unknowns to find a and b.
Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
.
Step-by-step explanation:
There are 495 pages in the mathematic book, from this 330 pages are included for the first term. Find the proportion of total pages to allotted pages in simplest form.
Answer:
330/495 = 2/3
the answer is 2/3
Answer:
3 : 2
Step-by-step explanation:
Total pages : allotted pages = 495 : 330
Find the HCF of 495 and 330
495 = 5 * 3*3*11
330 = 5 * 3 * 2 * 11
HCF = 5 * 3 * 11 = 165
Divide 495 and 330 by 165
495 : 330 = 3 : 2
At the local deli, David bought two ginger ales and two bagels for $6.60. Sumaiya bought four ginger ales and three bagels for $11.70.
Find the exact cost of one bagel and one ginger ale.
PLS HELP
Step-by-step explanation:
let the ginger ales be $x and the bagels $y.
Case 1, 2x+2y=6.60 x+y=3.30 ......1
Case 2, 4x+3y=11.70. .....2
1, x+y=3.30...×4
2, 4x+3y=11.70...×1
1, 4x+4y=13.20
2, 4x+3y=11.70
(-) (-) (-)
____________
y=1.50
____________
now, placing the value of y in equation 1,
x+y=3.30
x+1.50=3.30
x=1.80
therefore, the exact cost of one bagel and one ginger ale is $1.50 and $1.80 respectively.
hope this helps you.
Nicole is running for school president. Her best friend designed her campaign poster, which measured 3 feet by 2 feet. Nicole liked her poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3 inches. What is the scale factor?
Answer:
1 feet = 12 inches3 feet = 36 inchesLarger of buttons dimension is 2 inches
Step-by-step explanation: