Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
[tex]S - F = 5[/tex] ---- (1)
From the second, we have:
[tex]S - B = 8[/tex] ---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
[tex]F = S - 5[/tex]
[tex]B = S - 8[/tex]
Their product is represented as follows:
[tex]F * B = 40[/tex]
Substitute values for F and B
[tex](S - 5) * (S - 8)=40[/tex]
Open bracket
[tex]S^2 - 5S -8S + 40 = 40[/tex]
[tex]S^2 - 13S + 40 = 40[/tex]
Subtract 40 from both sides
[tex]S^2 - 13S = 0[/tex]
Factorize:
[tex]S(S - 13) = 0[/tex]
Split:
[tex]S = 0[/tex] or [tex]S - 13 = 0[/tex]
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
[tex]S - 13 = 0[/tex]
Make S the subject
[tex]S = 13[/tex]
Hence, Sarah is 13 years old
PLEASE HELP ASAP:(....
Answer:
A
Step-by-step explanation:
7 x 1/3 = 7/3
How many times does 17 go into 65 no decimals please only remainders if there is one.
Answer: 3.82
Step-by-step explanation: there is a decimal
On neatly scaled axes, graph and then write an equation in terms of u and y for the distance Leslie travels. Let I represent time in seconds and y represent distance in meters. Then do the same for Kristin and Erie using the same set of axes.
Leslie: y= 2x
Kristin: y= 2/5x + 8
Erie: y= 5/4x + 6
For the graph, find attached below. Thanks and if you could mark me as brainliest.
What is the value of a in the right triangle shown below?
15
12
O aſ
O Q=3
Oa=9
O G = 81
Jonathan wants to the new baseball game for his game console. The game costs $45.99. If sales tax is 6%, write an equation to find the total cost of the game, represented as P.
Answer:
45.99*1.06=P
Step-by-step explanation:
simplify these like terms please 1-1-1+5x
Answer:
5x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
1 - 1 - 1 + 5x
Step 2: Simplify
Subtract: -1 + 5xRewrite: 5x - 1And we have our final answer!
Answer: -1 + 5x
Step-by-step explanation: you have to simplify hope you understand
Tiana's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 50 espressos in all, 60% of which were single-shot. How many single-shot espressos did the cafe sell?
Answer:
I am pretty sure its 43.48%
Marla owes her sister $15. She pays her $6 today. Which integer represents the amount of debt she has remaining?
Answer:
The integer that represents the amount of debt she has remaining is $9
Step-by-step explanation:
$15 - $6 = $9
A line has the equation y =1/3 x - 5.
Find the equation of a
perpendicular line passing through
(3,2).
Which equation in standard form has a graph that passes through the point (5, −2) and has a slope of 72 ?
A. 7x − 2y = 35
A. 7x − 2y = 35
B. 7x − 2y = 39
B. 7x − 2y = 39
C. 7x − 2y = −31
C. 7x − 2y = −31
D. 7x − 2y = −24
D. 7x − 2y = −24
Given:
Consider the graph passes through the point (5, −2) and has a slope of [tex]\dfrac{7}{2}[/tex].
To find:
The equation of graph in standard form.
Solution:
Point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope and [tex](x_1,y_1)[/tex] is the point lies on the line.
Slope is [tex]\dfrac{7}{2}[/tex] and graph passes through (5,-2), so the equation of line is
[tex]y-(-2)=\dfrac{7}{2}(x-5)[/tex]
[tex]y+2=\dfrac{7}{2}(x-5)[/tex]
Multiply both sides by 2.
[tex]2(y+2)=7(x-5)[/tex]
[tex]2y+4=7x-35[/tex]
[tex]4+35=7x-2y[/tex]
[tex]39=7x-2y[/tex]
The required equation is [tex]7x-2y=39[/tex].
Therefore, the correct option is B.
Evaluate g(x)=6x when x=-3,0, and 4 .
Answer:
-3 = -18
0 = 0
4 = 24
Step-by-step explanation:
-3... so 6(-3) equals -18 because a positive times a negative equals a negative
0... so 6 (0) equals 0 because anything multiplied by 0 equals 0
4... so 6 (4) equals 24
() means multiplied by so if it’s y(x) then that means y is multiplied by x :)
please help find the volume of the sphere and show work
Answer:
1436.76
Step-by-step explanation:
I think so
Answer: V≈1436.76
[tex]V=\frac{4}{3} \pi r^3[/tex]
4/3×π=4.1887902047863909846168578443727
r=7
7^3=343
4.1887902047863909846168578443727×343=1,436.7550402417321077235822406198
1,436.7550402417321077235822406198=1436.76
I hope this is good enough:
The north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of Earth. The sea floor below the north pole is at an elevation of approximately -2.7 miles. The elevation of the south pole is about 1.7 miles. How far is a person standing on the south pole from a submarine at the sea floor below the north pole?
Answer:
I LOVE YOU
Step-by-step explanation:
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Answer:
y = x - 1
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope and b is the y-intercept so it would be:
y = x -1 but u don't have to write 1x just x will do
Answer:
y = x - 1Step-by-step explanation:
slope intercept form
y = mx + bwhere m = 1
y-intercept = b = -1
therefore:
y = x - 1The Population in Corpus Christi in 1970 was 204,525. The population in 2002 was 276,877. Create an
exponential equation and find out what the population will be in 2017?
When solving for b round it to the 4 decimals to use in the Equation. WHAT WILL BE THE POPULATION IN
2017?
Answer:
The population is 2017 is 291,254
Step-by-step explanation:
The exponential equation will be in the form
P = I( 1 + r)^t
where P is the present population
I is the population initially at 1970
r is the annual growth percentage
t is the number of years since 1970
So for 2002, we have
r in this case will be 2002-1970 = 32
277,877 = 204,525(1 + r)^32
(1 + r)^32 = 1.3586
1 + r = 1.0096
r = 1.0096-1
r = 0.0096
So the growth percentage is 0.96% annually
So the population in 2017 where t will be 2017-1970 = 37 will be
P = 204,525(1 + 0.0096)^37
P = 204,525(1.0096)^37
P = 291,254
Not an important question, but math is only something we made, we can change the rules of it and/or how to solve it. So my question is, why do we only have so few people who fully understand all of the math we know of?
Answer:
HELLO KYRAH IT'S DAISY
Step-by-step explanation:
IM IN UR CLASS
Answer:
We change the rules due to the human mind always wanting to understand though very few people acutall gets its our way of iterperting things that makke sense. The human mind will never take no as a complete answer and willlkeepwondering no matter what
Step-by-step explanation:
Find y-intercept for 9x-5y=0.
Answer:
y=-9/5x+0 the y intercept would simply be 0
Step-by-step explanation:
Answer:
y=0
Step-by-step explanation:
9x-5y=0
9(0)-5y=0
-5y=0
-5y/-5=0/-5
y=0 (y intercept)
9x-5y=0
9x-5(0)= 0
9x=0
9x/9=0/9
x=0 (x intercept)
Hope this Helps :)
Have a good day :)
Calc how much interest you would earn on a deposit of $8500 at 2.75%,
compounded annually, for a term of 4 years?
9514 1404 393
Answer:
$974.28
Step-by-step explanation:
The formula for the account balance is ...
A = P(1 +r)^t
Subtracting the principal gives the amount of interest.
I = P((1 +r)^t -1)
i = $8500(1.0275^4 -1) ≈ $974.28
You would earn $974.28 in interest over that time period.
please help i’ll mark brainliest
Answer:
b
Step-by-step explanation:
its a straigt line thats what linear means (line)
A cook has a scoop that measures ¼ cup. A bread recipe calls for 1 ¼ cups of sugar and 2 ½ cups of flour. The cook uses the scoop to measure and put both ingredients into a bowl. How many total scoops of both ingredients does the cook put into the bowl?
Given:
A cook has a scoop that measures [tex]dfrac{1}{4}[/tex] cup.
Required sugar for bread recipe = [tex]1\dfrac{1}{4}[/tex] cups
Required flour for bread recipe = [tex]2\dfrac{1}{2}[/tex] cups
To find:
The total number of scoops of both ingredients does the cook put into the bowl.
Solution:
Required amount of sugar and flour for the bread recipe is
[tex]=1\dfrac{1}{4}+2\dfrac{1}{2}[/tex]
[tex]=\dfrac{1\times 4+1}{4}+\dfrac{2\times 2+1}{2}[/tex]
[tex]=\dfrac{4+1}{4}+\dfrac{4+1}{2}[/tex]
[tex]=\dfrac{5}{4}+\dfrac{5}{2}[/tex]
Taking LCM, we get
[tex]=\dfrac{5+10}{4}[/tex]
[tex]=\dfrac{15}{4}[/tex]
Now,
[tex]\text{Number of scoops}=\dfrac{\text{Total amount of sugar and flour}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{\dfrac{15}{4}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{15}{4}\times \dfrac{4}{1}[/tex]
[tex]\text{Number of scoops}=15[/tex]
Therefore, the required number of scoops is 15.
One year, the population of a city was 130,000. Several years later it was 135,200.
Find the percent increase.
Answer:
Increase in percent = 4%
Step-by-step explanation:
Given:
Present population = 130,000
Future population = 135,200
Find:
Increase in percent
Computation:
Increase in population = Future population - Present population
Increase in population = 135,200 - 130,000
Increase in population = 5,200
Increase in percent = [Increase in population / Present population]100
Increase in percent = [5,200/130,000] 100
Increase in percent = 4%
please help me solve this as soon as possible.
Answer:because they are both interscting DUUUUUUUUHHHHHHH
Step-by-step explanation:
A runner's racecourse has a total distance of . Race officials want to mark the course every with a flag, including one at the finish line. (The starting line does not need a flag.) How many flags are needed? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.
Complete question :
A runner's racecourse has a total distance of 2.5 mi. Race officials want to mark the course every 200 yd with a flag, including one at the finish line. (The starting line does not need a flag. How many flags are needed?
Answer:
22 flags
Step-by-step explanation:
Given that total distance = 2.5 miles
Marked distance = every 200 yards
Ratio of yard to miles:
1 mile = 1760 yards
Total distance in yards :
Note :
1 mile = 5280 feet
1 yard = 3 feet
Given that:
1 flag per 200 yards
Number of flags :
2.5 miles * (5280 / 1 ) * (1 /3) * (1 / 200) = 22 flags
Similarly ;
Since 1 mile = 1760 yards
Total distance in yards : (2.5 * 1760) = 4400 yards
Number of flags :
Total distance in yards / marked distance
= 4400 / 200
= 22 flags
Solve the inequality 5x-6<=2+(3x-4)
Answer:
x =< 2
Step-by-step explanation:
5x - 6 =< 2 + (3x - 4)
5x - 6 =< 2 + 3x - 4
5x - 3x =< 2 - 4 + 6
2x =< 4
x =< 2
what is reminder if you devide 786 to 6?
Answer:
There is no reminder as the answer will be an integer 131.
Thank you and please rate me as brainliest as it will help me to level up
what is the missing part
Answer: the missing part is 45
suppose: the missing part is x
we use Thales theorem:
[tex]\frac{x}{18}=\frac{20}{8}\\\\=> x = \frac{20.18}{8}=45[/tex]
Step-by-step explanation:
use thales theorem to solve this question
Find an equation relating x and y
Answer:
(3,3) is a 3rd of (6,9)
Step-by-step explanation:
PLEASE HELP:( asapp!!!!!!!! i’ll mark brainlest
Answer:
6 * 1/9
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
6/9 = 0.66666666666666666666666666666667
6 * 1/9 = 0.66666666666666666666666666666667
To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring?
Answer:
18 I think
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Reagan brought 2 caramel brownies.
Solve using a proportion.
[tex]\frac{?}{20}[/tex]=[tex]\frac{10}{100}[/tex]
You're trying to find how many brownies he brought were caramel. We know Reagan brought a total of 20 brownies. Therefore since you don't know how many caramel brownies he brought, the fraction would be ?/20. Next, you know he brought brownies in which 10% were caramel. In proportions, the denominator would be 100% since that is the total percentage. Therefore, the proportion would be 10%/100%. Now we just have to cross multiply.
Proportion:
[tex]\frac{?}{20}[/tex]=[tex]\frac{10}{100}[/tex]
10 x 20 = 200
200/100= 2
Thus, Reagan brought 2 caramel brownies.
find the slope between the points (5,6) and (9,6)
Answer:
the slope is m=0
Step-by-step explanation:
when I put it in the graph and slope calculator I got 0
Answer:0
Step-by-step explanation:
The slope equation is y2-y1/x2-x1 so it would look like this: 6-6/5-9. If you simplify, the slope equals 0