Answer:
let the larger number be x and smaller number be y
1 equation
x-y=19
or x=19+y
2 equation
x=4y-8
then
putting valu of x in eqn 2nd
19+y=4y-8
19+8=4y-y
27=3y
y=9
so putting value of y in eqn 1
x= 19+9
x=28
therfore, larger number =28
smaller number =9
Step-by-step explanation:
A loan of 43,000 is made of 4% interest, compounded annually. After how many years will the amount due reach $66,000 or more?
Answer:
10 yrs
Step-by-step explanation:
A=P(1+r/n)^nt, P=initial investment, r=annual interest rate,n=number of compounding periods per year, A=amount after t years
For given problem:
P=37000
r=5.5%=.055
n=1
A=62000
..
62000=37000(1+.055)^t
62/37=1.055^t
tlog(1.055)=log(62/37)
Using log keys on calculator:
t=log(62/37)/log(1.055)≈10 yrs
about 13 years
Step-by-step explanation:
Solve the function x + 10y = 8 for x
A biologist recorded the population growth of two species of frogs in a pond area starting in 2010. The first species started with 42 frogs and increased by 6 frogs per year. The second species started with 30 frogs and increased by 8 frogs per year.
make an equation modeling equal populations of the frogs at T years after 2010.
Answer:
42 + 6t = 30 + 8t
Step-by-step explanation:
1st species starts with 42f. They gain 6 frogs a year, with the letter 't' representing years. 42 + 6t would be the rate for the first species. 2nd species starts with 30 and gains 8 frogs a year, the letter 't' also representing years. So 30 + 8t would be the rate. Writing an equation to find when the groups are equal, it would result in 42 + 6t = 30 + 8t
To find the answer to this,
42 + 6t = 30 + 8t
Step 1: Subtract 30 from both sides
42-30 +6t = 30-30 + 8t
12 + 6t = 8t
Step 2: subtract 6t from both sides
12 + 6t-6t = 8t-6t
12 = 2t
Step 3: divide both sides by 2
12/2 = 2t/2
6 = t
Step 4 : Rearrange
t = 6
Answer = 6
Find the slope and the y-intercept of the graph of the linear equation.
Y = -1
Answer:
slope : 0
y - intercept : ( 0,-1 )
Step-by-step explanation:
For all values of x
f(x) = 2x - 3 and g(x) = x2+ 2
(a) Find g (-4)
Answer
Answer:
g(-4) = 18.
Step-by-step explanation:
Find g(-4): we replace the x in g(x) by -4:
g(-4) = (-4)^2 + 2
= 16 + 2
= 18.
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 5.5 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.60 per gallon. How much did Irene spend on gas?
Answer:
ok 16.5$
Step-by-step explanation:
2 movie tickets and 1 popcorn cost $29. 4 movie tickets and 4 popcorns cost $68. How much does 1 movie ticket cost?
A:$5
B:$12
C:$10
D:$9
Jimmy and 4 of his friends went out to eat. They decided to split the bill evenly. Each person paid $13. What was the bills total?
Answer:
$65
Step-by-step explanation:
5x13= 65
Sara has 45 boxes. Bob has two times as many boxes as Sara. How many boxes does Bob have?
a 47
b 83
c 85
d 90
Answer:
90
Step-by-step explanation:
2x45=90
BRAINLIEST TO WHOEVER ANSWERS FIRST!
What is the next step in constructing an angle (MNO) congruent to the given angle (ABC) with a straightedge and a compass?
B
N.
E
1. Draw a ray. Label it NO
2. Using B as the center and any radius, draw an arc which intersects BA and BC. Label the intersection points D and E.
3. ?
O Draw a ray NM
Using N as the center and the same radius as before, draw an arc that intersects NO. Label the arc PQ where Q intersects NO.
Using N as the center and any radius, draw an arc which intersects NM and NO. Label the interception points P and Q.
With a straightedge, connect points D and E.
Answer:
Step-by-step explanation:
using N as the center and the same radius as before, draw an arc that intersects NO .Label the arc PQ where Q intersects NO.
Congruent angles have the same measure.
The next step is (b) Using N as the center and the same radius as before, draw an arc that intersects NO. Label the arc PQ where Q intersects NO.
The attached image implies that you have already constructed a straight line NO.
The next step is to construct an arc that intersects line NO
To do this, we make use of the following steps
Measure the distance ABMeasure the distance BDConstruct an arc PQ of length BD using point N as the centerLabel the points of intersection as P and QHence, the next step is (b)
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Solving an Inequality
Solve
Can someone please help on this??
Answer:
x>9/5
Step-by-step explanation:
2/3x-1/5>1
Solve like a regular equation.
2/3x-1/5>1 add 1/5 to both sides
2/3x>1/5+1
2/3x>6/5 divide by 2/3 on both sides
x> 9/5
Answer:
[tex]x>\frac{9}{5}[/tex]
Step-by-step explanation:
Start at 2/3x - 1/5 > 1
Add 1/5 to both sides :
2/3 x > 6/5
Multiply both sides by 3 :
2x > 18/5
Divide both sides by 2 :
x > 9/5
Y varies directly as x, y = 15
when x = 5. Find y when x=
6
Answer:
18
Step-by-step explanation:
y=k×x
15=k×5
=>k=15/5=3
when x=6,
y=3×6
=18
Which of the following is most likely to form when one tectonic plate is pushed with great force under another tectonic plate below the ocean? (4 points)
a
Continental rift
b
Fault
c
Mid-ocean ridge
d
Tsunami
Answer:
D I did the test on Ed.......................................
Ha sry I know I am asking a lot from y’all but I really need help
Answer:
33333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
Answer:
the first one has positive quotient
A recipe calls for 3 4/5 cups of flour. However, Stacy wants to use half as much flour as the recipe calls for. How many cups of flour will Stacy use? Express your answer as a mixed number.
Tessa takes her friends out to lunch and the total cost of the meal is $120.30. Tessa left a 20% tip for the waitress. How much money did Tessa give to the waitress as a tip
Answer:
$24.06
Step-by-step explanation:
20%(120.30) = 0.2*120.3 = $24.06
i need help someone plz help me ty ✌
Answer:
3.5 is the answer.
Answer: The answer is 3.5 or 3 1/2
The radius of a circle is 6 inches. Which choices best represents the circle's area? Use π≈3.14po WILL GIVE 100 POINTS IF CORRECT ONLY / BRAINLIST CORRECT ANSWER ONLY WARNING CORRECT ANSWER ONLY MAKE SURE YOU HAVE A FULL EXPLANATION TWO CORRECT ANSWER ONLY YOU WILL GET 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question 1 options:
18.84 inches squared
37.68 inches squared
452.16 inches squared
113.04 inches squared
Answer:
113.04
Step-by-step explanation:
3.14 x 6 squared
6x6=36
3.14x36=113.04
Find the area of the given composite shape using the appropriate Trig Ratio. Round your answer to the nearest whole number. *
About 300 square meters
About 121 square meters
about 45 meters
About 199 square meters
Answer:
about 199
Step-by-step explanation:
12*16 is 192 it has to be a little more not enough to be 300 though
-3 x 2 x a + 5(-7b) + (12 x c x 4) in standard form?
-3ax3+48cx2+35b
Step-by-step explanation:
hope this helps
What is the range of this function?
Answer:
D
Step-by-step explanation:
The range is the right side, which is, "-8,-3,5,7" So, D
Which statement is false?
All angels in an acute triangle are
acute
All angles in an obtuse triangle are
obtuse
A right triangle has a 90-degree
angle
A triangle can not have a right
anale and an antuse anale
Elena began to solve this equation:
12x + 6(4x + 3) =2(6x + 4) – 2
----------------------
3
12x + 6(4x + 3) = 3(2(6x + 4) - 2)
12x + 6(4x + 3) = 6(6x+ 4) – 6
12x + 24x + 18 = 36x + 24 - 6
When she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell?
Answer:
They have the same slope and y intercept after combining like terms, they are the same line and have infinetely many solutions.
Step-by-step explanation:
If you combine like terms it would give you 36x + 18 = 36x +18,
nThat's infinetely many solutions since they have the same slope and y-intercepts, therefore they are the same line.
The equation has infinitely many solutions. That means equation is true for all values of x.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
We have equation;
12x + 6(4x + 3) =2(6x + 4) – 2
And Elena solved,
12x + 24x + 18 = 36x + 24 - 6
Now, we will solve further,
36x + 18 = 36x + 18
That means equations are equivalent.
And there are two equations and one unknown.
So equation has infinitely many solutions.
Therefore, the equation has infinitely many solutions. That means equation is true for all values of x.
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Solve these plsssssssssss
Answer: B
Step-by-step explanation:
(3х – 6)(2x+2)
simplify by multiplying
a laptop has a listed price of $595.99 before tax. If the sales tax rate is 6.75%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary. PLS HELP
Given g(x)=-2x+3, solve for x when g(x)=-3
Answer:
g(-3)=9
Step-by-step explanation:
Replace all of the (x) with -3
So the new equation
g(-3)= -2(-3)+3
Now simplify
g(-3)= 6+3
Simplify further
g(-3)= 9
Hope this helps!
The value of x for the function g(x)=-2x+3 is 3.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
g(x)=-2x+3
Now, for g(x) = -3 we have
-2x+ 3 = -3
Now, Subtract 3 from both side
-2x + 3 - 3 = -3 -3
-2x = -6
Divide both side by (-2) we get
-2x / (-2) = -6 / (-2)
x = 3
Hence, the value of x is 3.
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Charis invested
$
140
$140. She earned a simple interest of
3
%
3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?
Answer:
$8.53
Step-by-step explanation:
because after 2 years she would have $148.53.
I believe the answer is $4.20
BRAINILEST TO WHO ANSWERS FIRST
Factor x^2−2x−8
Answer:
(−4)(+2)
hi just trynna get to 20 characters
Marcella purchased a car using a simple interest loan. The loan had an interest rate of 5.5% and was for 3 years. Marcella paid $231 in interest. The principal amount of the loan was for $_____ .
Answer:
Principal = $12600
Step-by-step explanation:
Simple Interest Formula
I = PRT
The formula for Principal Amount is:
I/RT = P
R = 5.5% = 0.055
T = 3
I = $231
P = 231 / 0.055 × 3
P =231/ 0.0183333333
P = $12600.000023
Approximately = $12600
