Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sided of the triangle.
In an isosceles triangle, there are two equal sides and a base.
Perimeter = ( 3x - 6) + (3x - 6) + x
58 = 7x - 12
58 + 12 = 7x
70 = 7x
[tex]\frac{70}{7} = \frac{7x}{7}[/tex]
10 = x
Dakota earned $12.50 in interest in Account A and $11.25 in interest in Account B after 15 months.
If the simple interest rate is 4% for Account A and 3% for Account B, which account has the greater
principal? Explain.
Answer:
You haven't explained the time for account A - we will assume 12 months or the answer is obvious:
for Acct(A) : I = 12.5 = A1 * .04 A1 = $312.50
for Acct(B) I = 11.25 = A2 * .03 * 5/4 = 300
Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.
11.25 = .0375 * A2 A2 = 300
Account A will have the greater principal
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]
In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat
Answer:
2 minutes
Step-by-step explanation:
700/10 = 70
1 minute = 70 times
140/70 = 2 minutes
Answer:
2 minutes
Step-by-step explanation:
The heart beats 70 times per minute so 70+70=140.
if motorist drove a distance of 90km at constant speed for the first 40km and then drove 30 km/hr faster for the rest of the journey if the journey took him one hour, his average speed for the first 40 km is
Answer:
Step-by-step explanation:
The motorist drove at a distance of 90km at a constant speed for the first 40km, and then 20 km/hr faster for the rest of the journey.
The whole journey took him 1hr.
Let S denotes the average speed (in km/hr) for the first 40 km.
Hence we get the following relation,
40/S + (90 - 40)/(S + 20) = 1
or 50/(S + 20) = 1 - 40/S = (S - 40)/S
or (S + 20)(S - 40) = 50S or S^2 - 70S - 800 = 0 or (S - 80)(S + 10) = 0
or S = 80 (km/hr) [Ans]
[S cannot be negative value]
a(5+b) HELPPPP btw use distribitive
Answer:
a(5+b)
5a+ab
Step-by-step explanation:
Answer:
5a + ab
Step-by-step explanation:
a(5 + b)
Times a by 5 and by b
5a + ab
What is the opposite of 3√ ?
13√
−3√
−32
3²
Answer:
D or B
Step-by-step explanation:
The prices of items in a shop were reduced by 10% during reduction sales. if a costumer buys an electric fan at $810.00. What was the original price?
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.
Comprehending
We can start by analyzing the problem and creating an equation to then begin solving.
So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.
We can create a formula and steps by doing the following:
[tex]x*0.9=810[/tex]
We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).
This states that 90% of a number is equal to 810.
Now that we have an equation, we can begin solving.
Solving
We can solve the problem by using basic algebra.
[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]
On step 1, we convert the decimal to a fraction for easy simplification/solving.
On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.
On step 3, we use basic algebra and after step 4 we get our answer.
We can double check out answer by doing the following:
[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]
We have checked our answer and gotten our answer of $900.
Cheers!
Which component is missing from the researcher’s process?
A.
B.
C.
D.
Answer:
It is B I believe, if not it's you're fault for not putting the choices...
What is 0.375 as a whole percent?
Answer:
0.375 is 37.5 % of 1
Step-by-step explanation:
Solve for the variable in the following proportion.
1/4 is to 1 1/4 as 2 is to b
B =
Can someone give an explanation?
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
--
Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
solving systems of equations in three variables
Answer:
Option B: (x= -8, y=10, z=-6)
Step-by-step explanation:
2x + 4y + 3z = 6 ... eq.(1)
5x + 8y + 6z = 4 ... eq.(2)
4x + 5y + 2z = 6 ... eq.(3)
From eq.(1),
2x= 6 - 4y - 3z
x= (6-4y-3z)/2 ... eq.(4)
Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)
In eq.(2),
5[(6-4y-3z)/2] +8y +6z =4
Multiplying through by 2
5(6-4y-3z) + 16y + 12z = 8
30-20y-15z+16y+12z = 8
22= 4y + 3z ... eq(5)
In eq.(3),
4[(6-4y-3z)/2] +5y +2z = 6
2(6-4y-3z) +5y + 2z =6
12-8y-6z + 5y +2z = 6
6= 3y + 4z ... eq.(6)
Multiplying eq.(5) and eq.(6) by 3 & 4 respectively
66=12y + 9z ... eq(8)
24=12y + 16z ... eq(9)
Subtracting eq(8) from eq(9)
42= -7z
z= -42/7
z = -6
Putting z as -6 in eq.(5)
22= 4y + 3(-6)
22= 4y -18
4y = 40
y = 40/4
y = 10
Putting y as 10 and z as -6 in eq(4)
x = [6 - 4(10) - 3(-6)]/2
x = (6 - 40 - 18)/2
x = -16/2
x = -8
x= -8, y= 10 , z= -6
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.
Find the perimeter.simplify your answer.
Answer:
proly
Step-by-step explanation:
2 * (2z-9) + 2 * (10z)
4z-18 + 20z
24z - 18
Answer:
22z
Step-by-step explanation:
10+10+2z-9+2z-9= 22z
(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:
PLS HELP ME 86 points
Answer:is easy
Step-by-step explanation:
your answers are:
A. 76
B. 35
C. 48
D. 62
E. 77
F. 78
G. 87
H. 67
I. 32
J. 63
K. 72
L. 78
Simplify each expression.
1.) 50 1/2 + (-12.3)
2.) -50 1/2 + (-12.3)
3.) -50 1/2 + 12.3
Please and thanks! (I'm horrible at my math)
Answer:
1.) 38.2
2.) -62.8
4.) -38.2
A book of 20 stamps costs $10.20. What is the cost of one postage stamp? A stamp costs cents.
Answer:
1 stamp = $0.51
Step-by-step explanation:
20 stamps = $10.20
=> 1 stamp = 10.20/20
=> 1 stamp = $0.51
Hoped this helped.
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
Draw a square and its diagonals. Guess the measures of these angles.
Answer:
Each angle measures 45° with diagonals
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
Is this relation a function? Justify your answer. a 10 av DOO 4 3 - NA 1 2 3 4 5 6 7 8 9 10 A. Yes, because every x- and y value is positive. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same x-value have different y values. D. No, because two points with the same y-value have different x- values.
Answer:
The answer is C
Step-by-step explanation:
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
The angles are supplementary
therefor
(3x + 2) + (5x + 10) = 180
Combine like terms
8x + 12 = 180
subtract 12 from both sides
8x = 168
Divide both sides by 8
x = 21
Answer:
x = 21
Step-by-step explanation:
The angle adjacent to 3x + 2 corresponds to 5x + 10 and are congruent.
The 2 adjacent angles then lie on a straight line and sum to 180° , then
5x + 10 + 3x + 2 = 180
8x + 12 = 180 ( subtract 12 from both sides )
8x = 168 ( divide both sides by 8 )
x = 21
simplify 6(x+3-2) (4-x)
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.
NEED HELP NOW thanks
Answer:
13 uvugugugugycycycycycycy
Step-by-step explanation:
cycle yvy
Step-by-step explanation:
it's somehow confusing because there's no coordinates for line k
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.
pls answer 4th and 5th question . i do not understand
Step-by-step explanation:
4) total length of the journey is
1st hr = 74km 224m = 74224m
2nd hr = 74km 224m = 74224m
3rd hr = 58km 56m = 58056m
4th hr = 62km 8m = 62008 m
total distance (adding all) = 268512m = 268km 512m .
5) total weight = 22kg 200g = 22200g
mangoes weight = 14kg 750g = 14750g
apples weight = 5kg 80g = 5080g
total weight - fruits weight
(22200-14750-5080)g
= 2370g
= 2kg 370g.
hope this helps you.
Write the equation of the line from the graph.
Answer: y = 4x + 2
Step-by-step explanation:
A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.
In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).
slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
= (2 - (-2)) / (0 - (-1))
= (2 + 2) / (0 + 1)
= 4 / 1
= 4
y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.
Plug both slope and y-intercept in, we get the equation:
y = 4x + 2
Answer: y = 4x + 2
Step-by-step explanation:
solve pls brainliest
Answer:
0.2% as a decimal is 0.002, 3.71 as a percentage is 371%
The formula to find the volume of a sphere is = 4 3, where is the radius of the 3
sphere. What is the formula in terms of ?
Answer:
d.
took the test
Step-by-step explanation: