(c) Ada is x years old and Bill is y years old.
Last
year,
Bill was 6 times as old as Ada.
(1) Form an equation in x and y and show that it simplifies to y = 6x - 5.
Using a system of equations, it is found that the simplified equation is y = 6x - 5.
Ada is x years old.Bill is y years old.Last year, Ada was x - 1 years old and Bill was y - 1 years old.
Bill was 6 times as old as Ada, hence:
[tex]y - 1 = 6(x - 1)[/tex]
[tex]y - 1 = 6x - 6[/tex]
[tex]y = 6x - 6 + 1[/tex]
[tex]y = 6x - 5[/tex]
The simplified equation is y = 6x - 5.
For a similar problem, also involving a system of equations, you can check https://brainly.com/question/13773803
Are the ratios 1:2 and 14:26 equivalent
1:2 and 14:26 are not equivalent!
Hey luvvs, can you help me out with this p.s if u do freind meeee
Answer:
[tex]\huge\boxed{E)-\frac{100}{17}}[/tex]
Step-by-step explanation:
The multiplicative inverse of the fraction [tex]\frac{a}{b}[/tex] is simply [tex]\frac{b}{a}[/tex]. The sign would not change for this reason.
Hope it helps :) and let me know if you want me to elaborate.
divide 24 apples between Roopa and Amita in ratio 5:7
Answer:
Roopa: 10
Amita: 14
Step-by-step explanation:
5x+7x=24
12x=24
x=2
5x=10
7x=14
Answer:
Step-by-step explanation:
5/7*24
=5/7*24
=17.14 apples
Charlie is making chocolate cake for his birthday party. He found a recipe that needs 2 cups of cocoa powder for every 3 cups of sugu. Al of his friends
are coming, so he uses 6 cups of cocoa powder in his cake,
How many cups of sugar should Charlie uso?
Step-by-step explanation:
the mix follows the ratio 2/3 (cups of cocoa to sugar).
2 × x = 6 cups
x = 6/2 = 3
so, the cocoa cups number is multiplied by the factor 3, and we need to multiply also the sugar cup number with the same factor to keep the ratio value unchanged :
so, we need 3×3 = 9 cups of sugar.
HELP PLSSS ITS DUE TMRWW
Answer:
P=6
Step-by-step explanation:
okay so the problem states that this pentagon has one line of symmetry.
if you know that AE=4x, AB=2x+1, and Bc=x+2, then you know that CD=x+2, and DE=2x+1.
since you know the perimeter is 18 cm, you can make an equation to find x:
4x+2(2x+1)+2(x+2)=18
-->4x+4x+2+2x+4=18
-->10x+6=18
-->10x=12
-->x=1.2
P would be 6
Marking Brainlest! 20pts. Thanks
The scatter plot shows the relationship between the average number of nightly customers and the number of months since a restaurant opened. The equation represents the linear model for this data.
y = 5x + 120
What does the number 5 in the equation mean in this context?
A. There were 5 customers per night when the restaurant opened.
B. The average number of customers per night decreased by 5 each month.
C. The restaurant has been open for 5 months.
D. The average number of customers per night increased by 5 each month.
Answer:
the answer is C trust me by
the admission fee at an amusement park is $3.50 for children and $7.20 for adults. on a certain day, 344 people entered the park, and the admissions fees collected totaled $1870. How many children and how many adults were admitted
Answer:
180 adults, 164 children
Step-by-step explanation:
Assuming all the people admitted are children,
total fees collected
= 344($3.50)
= $1204
Difference in amount collected
= $1870 -$1204
= $666
This difference in amount is due to the extra cost from each adult admission fee that we assumed to be children.
Difference in each admission fee
= $7.20 -$3.50
= $3.70
Number of adults admitted
= $666 ÷$3.70
= 180
Number of children admitted
= 344 -180
= 164
In \triangle HIJ,△HIJ, \overline{HI}\cong \overline{JH} HI ≅ JH and \text{m}\angle J = 13^{\circ}.m∠J=13 ∘ . Find \text{m}\angle I.m∠I.
Answer:
13
Step-by-step explanation:
two angles are congrunet
The measurement of angle I in the given triangle HIJ is 83.5°.
Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.
Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).
In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.
Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:
x + 13° + x = 180° (sum of angles in a triangle)
Solving for x:
2x + 13° = 180°
2x = 180° - 13°
2x = 167°
x = 167° / 2
x = 83.5°
So, m ∠I is 83.5°.
Learn more about isosceles triangle click;
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Complete question is given below:
In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.
I WILL GIVE BRIANLISTSActivity Thinking About Circles Around You Do this activity together to investigate circles in the real world. Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Sincetrac Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! ? Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Answer:
Step-by-step explanation:
1) The sun, the moon, windows, drawings, this: . And much more…
2) For example, how far you have to walk around a track, how big the moon is, how much ribbon you need to wrap around a circle present…
Tamara has $500 in her bank account. Tamara withdraws money to buy concert tickets. After the withdrawal, the account balance changed by $75.00
Enter the amount of money, in dollars, Tamara must deposit to return her account to the orginal balance.
Tamara must deposits
Answer: 75
Step-by-step explanation:
Answer:
500 - 425 and that id 75 so Tamara has spent 425 dollars
What percent is x of y?
Remember answer in percent(%)
Answer:
Step-by-step explanation:
If we do not have any numbers de can think that x and y are any number
y is 100%
x is ?%
? = 100x / y
The percent that is x of y is 100x/y
mr johnson borrowed $750 for 1 year. he has to pay 6% simple interest. how much interest will he pay?
Answer:
795$
Step-by-step explanation:
750 x 0.06 = 45
750 + 45 = 795
ANSWER PROPERLY FOR BRAINLIEST OR ELSE I REPORT
Answer:
A: 0.3
B: 0.3
Step-by-step explanation:
Basically both answers are the same
w+(−2.8)=4.3 whats the answer
Answer:
w=7.1
Step-by-step explanation:
Answer:
w=7.1
Alternate form
w= [tex]\frac{71}{10}[/tex] , w= 7[tex]\frac{1}{10}[/tex]
Which expression is equivalent to x6 – 9?
(x3)2 – 33
(x3)2 – 32
(x3)3 – 32
This polynomial is an example of a .
Step-by-step explanation:
[tex] {x}^{6} - 9 = { ({x}^{3} })^{2} - {3}^{2} [/tex]
Answer:
(x^3)^2-3^2 , or b.
and its the diffrence of suqares.
Step-by-step explanation:
I didn't get them all right. Can someone help please?
Answer:
[tex]\sqrt{2.56}[/tex]
[tex]6.828...[/tex]
[tex]1.75[/tex]
[tex]14/3[/tex]
[tex]-40[/tex]
Step-by-step explanation:
A rational number is any number that can be expressed as a ratio.
What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)
[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]
There are no like terms so we can't simplify itFactoring[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]
[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]
Answer:
Choice D
Step-by-step explanation:
Factorise: 4x²-9y²
We can obtain the factorization by this identity:
a² - b² = (a+b)(a-b)Rewrite the given expression as:
(2x)² - (3y)²Let (2x)² be a and (3y)² be b according to the identity.
So applying the identity:
(2x+3y)(2x-3y)(2x-3y)(2x+3y)Choice D is accurate.
in a subway, x men and y women travel. explain what is meant by the expression: y-x
Answer:
Step-by-step explanation:
y - x means the the difference in the number of women compared with men.
So if there are 20 women and 14 men, y - x = 20 -1 4 = 6 , that is 6 more women than men.
If there are more men than women then y - x will have a negative value, and there will be, if we flip the above numbers. 6 more men than women.
HELP PLEASE!!! WILL GIVE BRAINLIEST
Answer:
See below for answer
Step-by-step explanation:
Domain is the x-value in the ordered pair
Range is the y- value in the ordered pair
1. D = {3, 2, 1, 0} R = {-5, -4, -3, -2}
2. D = {-2, 0, 2, 4} R = {1, 2, 4, 6}
3. D = {10, 8, 6, 4} R = {-1, 2, 5, 8}
4. D = {-5, -3, -1, 1} R = {-5, -3, -1, 1}
5. D = {-4, -1, 2, 3} R = {4, 0, 4, 6}
pls help asap! i will
mark you brainliest!
Answer:
m∠ABC = 40°
Step-by-step explanation:
(4x - 4)° = 2(x + 9)°
4x - 2x = 18 + 4
2x = 22
x = 11
m∠ABC = (4(11) - 4)° = 40°
How to solve quadratic inequalities.
Answer:
Find the "=0" points
in between the "=0" points, are intervals that are either
greater than zero (>0), or
less than zero (<0)
then pick a test value to find out which it is (>0 or <0)
Wha ratio is equivalent to the ratio 6 : 12
Answer:
1:2
Step-by-step explanation:
1:2 would be a equivilant
also most simplified
Answer:
1 :2
Step-by-step explanation:
help me please???????
Answer:
The answer is 25.1 degrees.
Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60
Answer:
4 lipsticks
Step-by-step explanation:
15+15=30, 30+30=60
Can someone plz help me out i rlly need to pass this
In the diagram, z∘ and y∘ are the measures of two complementary angles.
Also, the measure of one of the angles is 29.6∘
What is the correct value for x?
Enter your answer as a decimal, if necessary, like this: 42.5
Answer:
x= 60.4
Step-by-step explanation:
y = 60.4
z= 29.6
x= 60.4
By complementary angle rule
PLEASE HELP!! I WILL MARK BRAINLIST IF RIGHT!Jace buys a case of soda. A case contains 24 cans of soda and costs $5.28. Jace will sell each can of soda for $0.75 at the basketball game. How much profit will Jace earn if he sells all of the cans of soda? (Picture below)
Answer:
d
Step-by-step explanation:
Answer:
$12.72
Step-by-step explanation:
0.75*24=18 dollars-5.28=12.72 dollars
Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes
Answer choices
3
48
180
2,880
Help I need this answer fast I’m taking a test and I can’t fail 7th grade
Answer:
Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes
Answer choices
3
48
180
2,880
Help I need this answer fast I’m taking a test and I can’t fail 7th grade
Step-by-step explanation:
Shama types at a constant rate she types 12 letters in 4 seconds what is the constant of proportionality for the relationship of letters to minutes
Answer choices
3
48
180
2,880
Help I need this answer fast I’m taking a test and I can’t fail 7th grade
The constant of proportionality for the relationship of letters to minutes is 180.
What is Proportionality?Two set of quantities are said to be directly proportional or just simply proportional if the corresponding elements of these two sets has a constant ratio. This constant is called the proportionality constant or coefficient of proportionality.
We have the proportional relationship between letters typing and the time in minutes taken to type the letters.
Time taken by Shama to type 12 letters = 4 seconds
= 4 / 60 minutes
= 1/15 minutes
Proportionality constant can be found by taking the ratio of these quantities.
That is, proportionality constant = 12 / (1/15)
The fraction in the denominator will be taken to the numerator as the reciprocal and the operation changes into multiplication.
Proportionality constant = 12 × (15/1) = 180
Hence the proportionality constant for the relationship of the quantities letters and minutes is 180.
To learn more about Proportionality, click :
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There are approximately 4 million births per year in the U.S. Express this quantity in births per minute.
Answer:
~7.61 births/minute
Step-by-step explanation:
A line has a slope of 3 and passes through the point (3, 3). What is its equation in slope-intercept form?
Answer:
y=3x-1
Step-by-step explanation:
The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)