Answer:
Bert is 11 years old and Max is 17 years old.
Step-by-step explanation:
System of Equations
To solve the system of equations, we use two variables x and y. Let's make:
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:
x - 5 = 2(y - 5) [1]
It's also known a year from now, the sum of their ages would be 30:
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
(2y - 5) + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3 = 11
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5 = 17
x = 17
Max is 17 years old and Bert is 11 years old
Plz help me with this plz I am marking branliest to correct answer plzzzzz
Answer:
Step-by-step explanation:
(a). ASA ≅ ASA
If two consecutive angles and the included side of a triangle are congruent to the two consecutive angles and the included side of another triangle, both the triangles will be congruent.
(b). SSS ≅ SSS
If three sides of a triangle are congruent to three sides of another triangle then both the triangles will be congruent.
vincent has cut three pieces of rope to complete a science project
Answer:
Cool______________________________________________
For a car that gets 21 miles per gallon, how far can it travel on 2/3 gallons?
Multiply miles per gallon by gallons:
21 x 2/3 = (21x2)/3 = 42/3 = 14
It can travel 14 miles.
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.
Answer:
24 + 6
Step-by-step explanation:
PLEASEEEEEE HELP ME ITS DUE TODAY Use a proportion to solve each problem.
1. Tara walks a 2 mile route through her neighborhood for
daily exercise. It takes her 30 minutes. At this rate, how far
can Tara walk in 45 minutes?
2. An infant daycare requires 1 teacher for every 4 children.
How many teachers are required for 20 children?
3. To make purple frosting, you start with white frosting.
Then you add 2 drops of red food coloring and 3 drops of
blue food coloring. If 4 red drops come out with the first
squeeze, how many blue drops should you add?
4. Arlen delivers 28 newspapers each morning. The route takes
him 40 minutes. If his route increases to 35 newspapers, how
long will it take him?
6. On a map, 1 inch represents 50 miles. You measure the
distance on the map between two towns as 3 inches
How many miles apart are the two towns?
6. Kelsey earns $5 walking her neighbors' dogs twice a week.
At this rate, how much should Kelsey cam if she walks the
dogs 6 days each week?
7. Jeff drove the first 200 miles of a trip in 3 hours. At this
rate, how long will the 500 mile trip take, with no stops?
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in
30 minutes. Do they type at the same rate? Use a proportion
to explain.
Answer:
3 ; 5 ; 6 ; 40 ; 150 ; 15; 7.5 ; yes
Step-by-step explanation:
Given the questions:
1. Tara walks a 2 mile route through her neighborhood for daily exercise. It takes her 30 minutes. At this rate, how far can Tara walk in 45 minutes?
Speed = distance / time ; 2 / 0.5 = 4 mph
45 minutes = 0.75 hr
Distance = speed * time = 4 * 0.75 = 3 miles
2. An infant daycare requires 1 teacher for every 4 children. How many teachers are required for 20 children?
1 teacher = 4 children
x = 20 children
x = 20/4 = 5
5 teachers
3. To make purple frosting, you start with white frosting. Then you add 2 drops of red food coloring and 3 drops of blue food coloring. If 4 red drops come out with the first squeeze, how many blue drops should you add?
2 drops of red = 3 drops of blue
4 drops of red = x
x = 12 / 2 = 6 drops of blue
4. Arlen delivers 28 newspapers each morning. The route takes him 40 minutes. If his route increases to 35 newspapers, how long will it take him?
40 minutes
6. On a map, 1 inch represents 50 miles. You measure the distance on the map between two towns as 3 inches How many miles apart are the two towns?
1 inch = 50 miles
3 inch = d
d = 50 * 3 = 150 miles
6. Kelsey earns $5 walking her neighbors' dogs twice a week. At this rate, how much should Kelsey cam if she walks the dogs 6 days each week?
Twice a week = $5
6 times a week = (6/2) * 5 = $15
7. Jeff drove the first 200 miles of a trip in 3 hours. At this rate, how long will the 500 mile trip take, with no stops?
Rate = distance / time = 200 / 3 = 66.667mph
time = 500 /66.667 = 7.5 hours
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate?
Lisa's rate :
36 /6 = 6 minutes per page
Frank :
30 /5 = 6 minutes per page
The dance team has three cupcake sales a
year to raise money. The amount of money
they make is a function of the amount of
people who buy cupcakes. This function is
represented by the three ordered pairs (40,
100), (70, 175) and (90, 225). What is the
domain of this function?
help
Answer:
40,70,90
Step-by-step explanation:
Alyssa is learning to drive her parents' car.
She increases her speed for 20 seconds.
She slows down for 10 seconds.
She stays approximately the same speed for the next 20 seconds.
She then slows down to a stop for the last 5 seconds.
Select the graph that best represents Alyssa's speed over time.
Answer:
D
Step-by-step explanation:
I just did this test and D was the right answer.
The graph that best represents Alyssa's speed over time can be determined by using the given data. The correct option is C).
Given :
Alyssa is learning to drive her parents' car.
The following steps can be in order to determine the graph that best represents Alyssa's speed over time:
Step 1 - The graph must be plotted between speed vs time.
Step 2 - According to the given data, Alyssa increases her speed for 20 seconds, which means the graph is increasing gradually up to the next 20 seconds.
Step 3 - Now, she slows down for 10 seconds that is, the graph decreases up to the next 10 seconds.
Step 4 - Now, she stays at approximately the same speed for the next 20 seconds that means the graph is constant for up to the next 20 seconds.
Step 5 - Now, she then slows down to a stop for the last 5 seconds that means the graph again decreases for the next 5 seconds.
From the above steps, it can be concluded that option C) is correct.
For more information, refer to the link given below:
https://brainly.com/question/14375099
needs to be done quickly pls.
Answer:
50 Degrees
Step-by-step explanation:
what is the quotient 2 1/5 over negative 1/10
Answer:
25
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
those 2 1/5 divided by 1/10 = -22
In a production process, the probability of manufacturing a defective rear view mirror for a car is 0.075. Assume that the quality status of any rear view mirror produced in this process is independent of the status of any other rear view mirror. A quality control inspector is to examine rear view mirrors one at a time to obtain three defective mirrors. Determine the probability that the third defective mirror is the 10th mirror examined.
Answer:
The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088
Step-by-step explanation:
Given that:
Probability of manufacturing a defective mirror = 0.075
To find the probability that the 3rd defective mirror is the 10th mirror examined:
Let X be the random variable that follows a negative Binomial expression.
Then;
[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]
[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]
[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]
[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]
[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]
= 0.0087999
≅ 0.0088
Match each multiplication expression with the number of decimal places in its product
Answer:
Step-by-step explanation:
Digits after the decimal in a number decide the number of decimal places.
If there are 1 digit after the decimal, decimal place will be one decimal place.
Similarly, 2 digits after the decimal, decimal place will be two decimal place.
1). 4.2(0.938) = 3.9396 (Four decimal places)
2). 0.9(29.3) = 26.37 (Two decimal places)
3). 18(5.75) = 103.50 (Two decimal places)
4). 0.48(12.19) = 5.8512 (Four decimal places)
5). 3.21(2.4) = 7.704 (Three decimal places)
6). 50.7(14.06) = 72.842 (Three decimal places)
Answer:
The person above me is right.
Step-by-step explanation:
I did it on edge and got it right.
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Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
question: select the appropriate linear equation for the trend line
I NEED HELP! <3
A. y = x + 1
B. y = -x -1
C. y = x -1
D. y = -x + 1
Answer:
y=x+1
Step-by-step explanation:
These points are linear. Find the slope.
Answer:
5
Step-by-step explanation:
To find the slope of a line, you need to find the [tex]\frac{rise}{run}[/tex] between two points. I will be calculating the slope using the two points (2, 10) and (3, 15).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{15-10}{3-2}[/tex]
= 5
please help!!!!!! 13 points
Answer:
4.5 and 6
Step-by-step explanation:
Answer:
x 2 4 6 7 9
y 1 2 3 3.5 4.5
Step-by-step explanation:
can I have brainliest
Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%
A. $2156
B. $2165
C. $1965
D. $1959
Answer:
a
Step-by-step explanation:
PLEASE HELP :( I WILL GIVE BRAINLIEST ANYTHING
Answer:
Incline plane 4
Step-by-step explanation:
Literally the last question pls get it right
Translate this sentence into an equation. The sum of 18 and Mabel's savings is 49. Use the variable m to represent Mabel's saving
Answer:
18 + m = 49 or 49 = 18 + m
Step-by-step explanation:
P.S Can I have brainliest?
Write a story problem using the measurement interpretation of division for the following ¾ ÷ ⅛
Answer:
there was 3/4 of a pizza left and gets divided with 8 people
Step-by-step explanation:
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
¾ and ⅛
Then the division between the numbers 6 and 1/3 will be given by putting a division sign between them. Then we have
⇒ ¾ ÷ ⅛
⇒ (¾) / (⅛)
⇒ (¾) × (⁸/₁)
⇒ 6
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
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A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?
In 7 minutes machine can fill 1 box.
Given that, a machine fills boxes at a constant rate. At the end of 35 minutes, it filled 5 boxes.
What is the constant rate?A rate of change is constant when the ratio of the output to the input stays the same at any given point in the function. The constant rate of change is also known as the slope. Linear functions will have a constant rate of change.
Now, in 35 minutes machine has filled 5 boxes.
So, 1 box is filled in 35/5=7 minutes.
Therefore, in 7 minutes machine can fill 1 box.
To learn more about the constant rate visit:
https://brainly.com/question/13659182.
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Please help me.......
2542 t that answer sorrry i cant gsrgb hgttyprev
Someone please help look at the picture please anything would help
A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?
Answer:
92, Hope this helps
Step-by-step explanation:
10000-5200= 4800/52 = 92.307 rounded up = 92
2 markers fewer than m packs of markers that have 9 markers in each pack
Answer:
9m-2
Step-by-step explanation:
There are m packs of markers, with 9 markers in each, so you multiply and get 9m. Then it says two markers fewer and that means subtract so it'’s 9m-2
which number is rational
A. square root of 16/6
B square root of 6
C. square root of 36/16
D. square root of 36/6
Answer:
36/16
Step-by-step explanation:
3. Given the equation determine:
f(x)= x² - 4
f(-3)
Answer:5
Step-by-step explanation: F(-3)=(-3)^2 -4
(-3)^2=9
F(-3)=9-4
F(-3)=5
Answer:
5
Step-by-step explanation:
Tina's plans to make wooden fences To put heard to triangle art pieces In
How much wood would she need for triangle DFG
Answer:
54 feet.
Step-by-step explanation:
Consider AB and DF. FD is 3 times the size of AB
So if AC = 7 then DG = 3* 7 = 21
The total Perimeter = 15 + 18 + 21 = 54 feet
Answer:
well if the triangle are both equal comparisons just ones a different size then the unknown hunches of the bigger side would probably be 21 so if u add the 15 + 18 + 21 = 54 I think sorry if I'm wrong tho
in her last computer game, Lucy scored 3×10⁷ points. The first time she tried the game, she scored 6×10³ points. How many times as many points is Lucy's last score as her first score?
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Answer:
u have to drop 18 pionts .
Step-by-step explanation:
Reggie has 176 pictures of animals. He wants to keep half and then divide the rest equally among four friends. ... How many pictures will each friend get?
Answer:
each friend will get 22
Step-by-step explanation:
so you have 176 you divide that by half and you get 88 so then you divide the other 88 by 4 and you get 22 so Reggie kept 88 and all 4 friends each get 22