The two numbers are 12 and 5.
Two equations can be derived from this question
5x + 2y = 70 equation 1
4x - 2y = 38 equation 2
Where:
x = larger number
y = smaller number
In order to determine the larger number, the following steps hare to be taken:
Add equation 2 and 1
9x = 108
Divide both sides by 9
x = 108/9
x = 12
In order to determine the smaller number, substitute for x in equation 1
5(12) + 2y = 70
60 + 2y = 70
70 - 60 = 2y
10 = 2y
y = 5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Which of the following is the graph of y = |x - 3|
Answer:
y = | x - 3 | is graphed on the attachment below ↓
Step-by-step explanation:
If you ever need an equation graphed, here's a useful site called Desmos that can do that really well and for free.
A restaurant tablecloth is 98 inches across. What is the approximate circumference?
The circumference of a circle with diameter of 98 in. is about 308 in.
Step-by-step explanation:We know the diameter. Using the diameter, we can find the circumference.
=> Diameter = 98 in.=> Radius = 98/2=> Radius = 49 in.Circumference = 2πr
=> 2 x 22/7 x 49=> 2 x 22 x 7=> 308 in.Conclusion:Therefore, the circumference of a circle with diameter of 98 in. is about 308 in.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A pair of shoes are on sale for 60% off. The shoes cost $110 before the sale. How much money will you save after the sale?
answer: 60 × 100 = 600
Step-by-step explanation:
Answer:
$66
Step-by-step explanation:
Money saved after sale= 60% of $110
= 60/100 ×$110
= $66
I need help on this explain
Please
Please confirm my answer to be correct
Answer:
Actually, Corresponding angles are congruent.
Step-by-step explanation:
They are only supplementary in the special case where they are both 90°
Answer:
Option D
Step-by-step explanation:
Since we know that measure of corresponding angles are equal. So, corresponding angle are congruent to each other
Translate the sentence into an inequality.
Six times the sum of a number and 20 is greater than 16.
Use the variable c for the unknown number.
Answer:
6 (20 + c) > 16
Step-by-step explanation:
the sum of the number and 20 is 20 + c. so you multiply that equation by 6 giving you 6 (20 + c)
(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?
Answer:
19
Step-by-step explanation:
in question given ,x = 2, y = 3, z = 5 in this way
(3x+3z+2w) and find the value of w . according to given values and put
Answer:
4 +30/w . . . . for any w≠0
Step-by-step explanation:
The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.
The ratio requirement means ...
(x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5
Considering the first equality, we can multiply by 6 and subtract the right side.
3(x -y +z) -2(y -z +2w) = 0 ⇒ 3x -5y +5z -4w = 0
Considering the first and last expressions, we can multiply by 10 and subtract the right side.
5(x -y +z) -2(2x +z -10) = 0 ⇒ x -5y +3z = -20
These two equations have solutions ...
x = 10 -z +2w
y = 6 + 0.4z +0.4w
Using these expressions in the ratio of interest, we have ...
(3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w
= (30 +4w) : w
Expressed as a mixed number, the ratio of interest is ...
(30 +4w)/w = 4 +30/w . . . . an infinite number of solutions
__
For positive values of w that are divisors of 30, there are 8 possible values:
(w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)
_____
Check
It might be interesting to substitute the expressions for x and y into our original equation(s).
(x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)
(y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)
(2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)
All of these expressions are identical, as they should be.
Which of the following equations contains the point (8, 5) and is perpendicular to the line y = 2x − 3?
Answer:
[tex]y = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]
Step-by-step explanation:
Given that the reference line is y = 2x - 3, with a slope of [tex]m_{reference} \ = \ 2[/tex].
We know that two non-vertical lines are perpendicular if the slope of one line is the negative reciprocal of the slope of the other. In other words, both slopes can be multiplied together to yield -1. Let [tex]m_{1}[/tex] be the slope of one line and [tex]m_{2}[/tex] be the slope of its corresponding perpendicular line,
[tex]m_{1} \ \times \ m_{2} \ = \ -1 \ \ \ \ \ \ \ \ \ \ \ \mathrm{or} \ \ \ \ \ \ \ \ \ \ \ m_{1} \ = \ \displaystyle\frac{-1}{m_{2}}[/tex].
Thus,
[tex]m_{reference} \ \times \ m_{perpendicular} \ = \ -1 \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{m_{reference}} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ \displaystyle\frac{-1}{2} \\ \\ \-\hspace{2.26cm} m_{perpendicular} \ = \ -\displaystyle\frac{1}{2}[/tex]
Therefore, using the point-slope form for the equation of a line passing through the point [tex](x_{1}, \ y_{1})[/tex] is [tex]y \ - \ y_{1} \ = \ m(x \ - \ x_{1})[/tex]. Given that the perpendicular line passes through the point [tex](8,\ 5)[/tex], the equation of the perpendicular line is
[tex]y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}(x \ - \ 8) \\ \\ y \ - \ 5 \ = \ -\displaystyle\frac{1}{2}x \ + \ 4 \\ \\ \-\hspace{0.85cm} y \ = \ -\displaystyle\frac{1}{2}x \ + \ 9[/tex]
Help help math I’ll give points thanks
Answer:
x=13
Step-by-step explanation:
8x-20=4x+32
start by moving the terms,
8x-4x=32+20
combine
4x=52
divide each side by 4
x=13
KisthemidpointofJL. If JK = 3x and KL = x + 8, what is JK?
Given: JK = 3x - 5, KL = 2x + 1
The sum of the segments JK and KL will equal the length of the segment JL = 16
So we can write:
3x - 5 + (2x + 1) = 16 [JK + KL = JL]
Collect terms, solve for x:
5x - 4 = 16
5x = 20
x = 4
JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
Ans: 7
The solution to the following inequality:
-3(6-2g)>4g
Answer:
Solution: g > 9
Interval Notation: (9 , ∞)
Step-by-step explanation:
-3 * (6-2g) > 4g
-18 + 6g > 4g
6g - 4g > 18
2g > 18
g > 9
How do you multiply fractions? And do we have to simplify them by any chance or no?
To multiply a fraction, imagine it this way. Start with 1/4. Then if you multiply 1/4 by 2 it would be 1/2.
If you have a quarter, and you times that quarter by 2, you have half a dollar.
It only needs to be simplified if you can simplify the fraction.
Answer:
Ok say your doing 1/4 * 2/4 you move the /4 over to the side and multiply 1 and 2 that would be 2 so then you put the the 2 on top of the /4 and you have 2/4… Now if you have odd numbers like 1/4 * 1/6 you would simplied the 6 and 4 what can go into (divide by the same number) 6 AND 4 both… 2 because so you change the 1/4 and 1/6 to a 1/2 * 1/2 those multiplied together equal 1/2
Step-by-step explanation: pls give brainleist and dont for get to leave a rating and heart
2nd time asking please helpp!!
Answer:
exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1 1/5
Step-by-step explanation:
Answer:
6/5, 1.2, or 1 1/5
What is the least multiple 6 and 8 have in commen explain
the first several multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 the first several multiples of 6 are 6: 12, 18, 24, 30, 36, 42, 48, 54, 60
Tara placed $1200 in a savings account which compounds interest continuously at a rate of 1.4%.
How much will she have in the account after 3 years?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$1,251
Step-by-step explanation:
Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Plug the values into the formula; solve:
[tex]r = \frac{r}{100}[/tex]
[tex]r = \frac{1.4}{100}[/tex]
[tex]r = 0.014[/tex]
0.014 rate per year
[tex]A = Pe^{rt}[/tex]
[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]
[tex]A = $1,251.47\\[/tex]
1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.
Answer:
1251
Step-by-step explanation:
Help me with this plzzzzzzzzz
Answer:Hi
Step-by-step explanation:
find the area of a square park whose perimeter is 400m
Answer: 1600m^2
Its a square so all sides are equal. So...
400m * 400m
= 1600m^2
Which, if any, of the following would not generate a sphere?
A. Rotating a circle 180° about its diameter
B. Rotating a semicircle 360° about its diameter
C. Rotating a circle 360° about any point on the circle
D. All of the above would generate a sphere
Answer:
i think D. All of the above would generate a sphere is answer
Find a polynomial with the following zeros.
HELPPPP ASAPPP
Answer:
x³ - 4x² + 2x + 4 = 0
Here's how I solved this:
You start off by rewriting the zeros into factors:
1 - √3 → x = 1 - √3 → (x - 1 - √3)
2 → x = 2 → (x - 2)
1 + √3 → x = 1 + √3 → (x - 1 + √3)
Now you want to multiply the factors together:
(x - 1 - √3) · (x - 2) · (x - 1 + √3)
- Multiply the first two factors together -
(x - 1 - √3) · (x - 2)
↓
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
- Combine like terms and simplify -
(x · x - x · 2 - √3 · x + √3 · 2 - x + 2)
↓
(x² - 3x - √3 · x + 2√3 + 2)
- Now multiply the third factor -
(x² - 3x - √3 · x + 2√3 + 2)(x - 1 + √3)
↓
(x² · x + x² · √3 - x² - 3x · x - 3x · √3 + 3x - √3 · xx - √3 · x · √3 +√3 · x + 2 · √3 · x + 2 · √3 · √3 - 2 · √3 + 2x + 2 · √3 - 2)
↓
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
- Combine like terms and simplify -
(x³ + x² · √3 - x² - 3x² - 3x · √3 + 3x - √3 + 3x - √3 * x² - x · 3 + √3 · x + 2 · √3 · x + 2 · 3 - 2 × √3 + 2x + 2 √3 - 2)
↓
x³ - 4x² + 2x + 4
--------------------------------------------------------------------------------------------------------------
And there we get our solution: x³ - 4x² + 2x + 4
Really easy question!!! will mark BRAINLIEST
True or false. The weight of the moon is six times that of earth? Create an equation.
Step-by-step explanation:
False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B.
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
How to find Scale Factor?Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
Learn more about scale factor on:
https://brainly.com/question/2826496
What is ten times as great as 450?
Answer: The answer is 4,500.
Explanation: 450 x 10 = 4,500.
Ten times as great as 450 is 4500.
We need to find what is ten times as great as 450.
What is multiplication?When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.
Multiplication step:
Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.Now, ten times as great as 450=10×450=4500
Therefore, ten times as great as 450 is 4500.
To learn more about multiplication visit:
https://brainly.com/question/5992872.
#SPJ2
Christian buys a two-gallon bottle of juice for $28.16. What is the unit rate of the cost of the juice per fluid ounce?
Answer:
$0.22
Step-by-step explanation:
128 oz in a gallon
2 gallons is 256oz
28.16*2=56.32
56.32/256=0.22
NEED HELP RN!!! PLS ☹️
Answer:
show the screen clearer !
Step-by-step explanation:
-2 - 1 + 4 I need the help please
Answer:
it's 1
Step-by-step explanation:
hope this helps 1
What do x equal to
Answer quickly pls
Answer:
= 130°
Step-by-step explanation:
a far away exterior angle is equal to the sum of two far interior angles
50+80 = x
The students at Vienna Elementary sold donuts every day at school for 6 months. The table below shows the earnings for the first 6 weeks. If the pattern continues, how much will the students make in week 8?
Pics here
↓
The student made $100 in week 8.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount earned from the first week to 6 weeks.
110, 100, 90, 110, 100, 90
We see that,
Every 3 weeks the amount gets repeated.
So,
7th week = 110
8th week = 100
Thus,
The amount earned in week 8 is $100.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Draw the plot
Can someone plz help me with this
well, let's take a peek, hmmm the length is hmmm, how much is five times "x"? well 5 * x or just 5x, how about four more than that? well, just 5x + 4.
we know the width is hmmm how much is three times "x"? 3*x or just 3x, how about 2 less than that? 3x - 2.
Check the picture below.
Answer:
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑^
which value is NOT equivalent to the others 3^4 3+3+3+3 3^2x 3^2 3x3x3x3
Answer:
3+3+3+3
Step-by-step explanation:
Hopefully I didn't get confused
3^4 vs 3+3+3+3 vs (3^2)(3^2) vs 3x3x3x3
Well the best way to do it is to do each
3^4=81
3+3+3+3=12
3^(2+2)=81
3x3x3x3=81
Therefore 3+3+3+3 is not equilvilent
Use the counting techniques from the last chapter. A bag contains three red marbles, three green ones, one fluorescent pink one, two yellow ones, and four orange ones. Suzan grabs four at random. Find the probability of the indicated event.
She gets at least two red ones, given that she gets at least one green one.
Using the combination formula and the probability concept, it is found that there is a 0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the marbles are taken is not important, hence, the combination formula is used to solve this question.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
2 red from a set of 3.1 green from set of 3.1 from a set of 1 + 2 + 1 + 2 + 4 = 10.Hence:
[tex]D = C_{3,2}C_{3,1}{C_{10,1}} = \frac{3!}{2!1!} \times \frac{3!}{1!2!} \times \frac{10!}{1!9!} = 90[/tex]
Total outcomes:
Four marbles are taken from a set of 13, hence:
[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]
Then, the probability is:
[tex]p = \frac{D}{T} = \frac{90}{715} = 0.1259[/tex]
0.1259 = 12.59% probability that she gets at least two red ones, given that she gets at least one green one.
To learn more about the use of the combination formula and the probability concept, you can check combination formula and the probability concept,