This table shows the population of caribou in an area over a period of years . a. What is the growth factor? b. Write an equation to model the population growth. C. How many caribou will there be in the area after 10 years? d. this model continues to hold true, how long until the caribou population exceeds one million?
Answer:
I Think its B
Step-by-step explanation:
Edge 2021
If you add Natalie's age and Fred's age, the result is 46. If you add Fred's age to 4 times Natalie's age, the result is 91. Write and solve a system of equations to find how old Fred and Natalie are.
Answer:
Fred = 31
Natalie = 15
Step-by-step explanation:
We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.
Create two systems :
F = Fred
N = Natalie
F + N = 46
4N + F = 91
We can change the first equation to Natalie's age alone :
N = 46 - F
Now substitute this into the second equation :
4(46 - F) + F = 91
Distribute :
184 - 4F + F = 91
Subtract 184 from both sides :
-4F + F = -93
Add like terms :
-3F = -93
Divide -3 from both sides :
F = 31
Therefore, Fred is 31 years old. Now replace his age in the first equation :
31 + N = 46
46 - 31
15
Therefore, Natalie is 15 years old.
Destiny needs to save a 15 percent down payment for a car she wants to buy. She knows cars of this make and year model tend to sell for $9,000. How much will she need to save
Answer:
1,350
Step-by-step explanation:
15% of 9,000 is 1,350, you can multiply 9000 by .15.
To make butter cream use butter and icing sugar in the ratio 1 : 2 . If I use 50g butter, how much icing sugar should I use?
Answer:
100 g
Step-by-step explanation:
You would multiply the butter by 2.
What is the y-coordinate of the solution to the system of equations? 5x-y=25 4x+3y=1
Answer:
The y-coordinate of the solution is thus -5.
Step-by-step explanation:
Rewrite 5x-y=25 4x+3y=1
in a column:
5x-y=25
4x+3y=1
If we want to find the y-coordinate of the solution, we need to eliminate x. Solving the second equation for 4x yieds 4x = 1 - 3y, or
x = (1 - 3y)/4.
If this is inserted into 5x - y = 12, we get:
5(1 - 3y)/4 - y = 25, or (multiplying all terms by 4 to eliminate fractions):
5 - 15y - 4y = 100, or
-19y = 95, which yields y = -5
The y-coordinate of the solution is thus -5.
what is 45.75 divide by 3
Answer:
15.25
Step-by-step explanation:
You're Welcome!
Answer:
15.25 (what's important to remember when doing problems with decimals is remembering to put it in the right place. )
hope this helped you out!
Step-by-step explanation:
A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?
If you have 16.9 ounces and you are trying to get to 32.55 ounces how much do you need
Answer:
15.65
Step-by-step explanation:
16.9 + x = 32.55
x = 32.55 - 16.9
Answer:
15.65 ounces
Step-by-step explanation:
32.55-16.9=15.65 ounces
10 is 60% of what number please help
Answer:
600
Step-by-step explanation:
set x as the number
x0.10 = 60
x = 60/0.10
x = 600
Answer:
For me i think its 16.67 well im not fully sure
Step-by-step explanation:
SO we have to figure out what gives us 10 and that will be represented as "x"
[tex]\frac{60}{100}[/tex] × x = 10
Multiplying both sides by 100 and dividing both sides by 60,
we have x = 10 × [tex]\frac{100}{60}[/tex] so, x = 16.67
(that's what i believe but i don't know)
The sum of two numbers is 52. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Intitled Granh
Answer:
its 10
Step-by-step explanation:
Answer:
Let Two Numbers be=x and y
Sum of two Numbers=52
X+Y=52
X=52-Y. (Equation 1)
Difference=2
X-Y=2
.Putting Value of X=52-Y
52-Y-Y=2
52-2y=2
52-2=2y
50=2y
y=50÷2
y=25
We Get Y=25
X=52-Y
X=52-25
X=27
Prove
X+Y=52
27+25=52
X-Y=2
27-25=2
X=27
Y=25
Numbers=27,25
Step-by-step explanation:
:)
2) Abby spent $152 on Math Team spirit gear. Sweatshirts cost $25 and t-shirts cost $11. If she
bought a total of 10 items, how many of each type of shirt did she buy?
Answer:Abby bought 3 sweat shirts and 7 t shirt
Step-by-step explanation:
Step 1
Let sweat shirt be represented as s
and t shirts be represented as t
such that the total umber of items bought which equals 10 can be written as
s+ t= 10---- equation 1
and total price of the gear with each item costing $25 on sweatshirt $11 on t-shirts be expressed as
25 s+ 11 t = 152---- equation 2
Step 2
s+ t= 10-----equation 1
25s+ 11t= 152----equation 2
By elimination method , multiply equation 1 by 10 and subtract equation 2 from it
25 s+ 25t= 250----- equation 3
-25s + 11t= 152-----equation 2
14t=98
t=98/14= 7
To find s, using equation 1
s+t=10
s= 10-7= 3
Abby bought 3 sweat shirts and 7 t shirt
The amount of money in a bank account increased by 17.5 % 17.5% over one year. If the amount of money at the beginning of the year is represented by A A, which expression below represents the amount of money in the bank account after the increase?
Answer: 1.175A
Step-by-step explanation:
From the information given in the question, we are told that the amount of money that is in a bank account increased by 17.5% while the money at the beginning of the year is represented by A.
The expression that represents the amount of money in the bank account after the increase will be:
= A + (17.5% × A)
= A + (17.5/100 × A)
= A + (0.175 × A)
= A + 0.175A
= 1.175A
what is the answer to 6(3+9)
Answer:
6 x (3+9) add 3 and 9 = 12
6×12 = 72
Answer:
72
Step-by-step explanation:
3+9=12
12*6= 72
do everything in parenthesis first so to solve this you would do 3+9 which equals 12 then multiply 12 with 6 which gives you the answer 72 hope this helps have a good rest of your night :) ❤
9 (p - 4) = -18 what is the value of the p
Answer:
p=2
Step-by-step explanation:
9(p-4)=-18
9p-36=-18
9p=18
p=2
Answer: p=2
Step-by-step explanation:
Divide -18 by 9 to get (p-4)=-2 and then add the 4 to the 2 to get the answer of 2
A bank loans a customer $100,000 for a period of 2 years. The simple interest rate of the loan is 5.7%. What is the total amount that the customer will need to pay the bank over the 2 years?
Answer:
$111400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5.7%/100 = 0.057 per year,
then, solving our equation
I = 100000 × 0.057 × 2 = 11400
I = $ 11,400.00
The simple interest accumulated
on a principal of $ 100,000.00
at a rate of 5.7% per year
for 2 years is $ 11,400.00.
Someone plz help me
I will give brainliest
Answer:
10 days
Step-by-step explanation:
2/.2=10
Answer:
D:10 days
Step-by-step explanation
1/5 ÷ 10 = 0.02 in decimal form.
hope that helps
The longest side of a triangle is 5 less than 3 times the shortest side and the remaining side is 4 cm. Find the lengths of the triangle if the perimeter is 19 cm
Answer:
4, 5, 10
Step-by-step explanation:
x=shortest side
one side =4
3x-5=long side
(3x-5)+x+4=19
4x-5+4=19
4x=20
x=5
long side = 3(5)-5=10
Help!!!!! Also shoe the work plz!
Answer:
[tex]h=\frac{15.625}{pi}[/tex]
h ~ 4.974
Step-by-step explanation:
The formula for the volume of a cylinder is;
[tex](pi)(r^{2})(h)=V[/tex]
Where [tex](pi)[/tex] represents the value, [tex]3.1415...[/tex]
[tex](r)[/tex] represents the radius of the given cylinder. In other words, if one were to take a base (the flat side in the case of the cylinder) of the figure. The distance from the center to a point on the outside of the circle is the radius.
[tex](h)[/tex] represents the height of the object. In other words the distance between the two bases of the cylinder.
[tex]V[/tex] represents the volume, in other words, the space that the object takes up.
In this problem, one is given the diameter of the cylinder and the volume. One is asked to find the area.
The diameter of a circle is the distance between two opposite sides of the circle. The diameter will always pass through the center of the circle. To find the radius when given the diameter, one will divide by 2.
To solve this problem, one will substitute in the given information and solve for the height using inverse operations.
[tex](pi)(r^{2})(h)=V\\\\(pi)((\frac{8}{2})^{2})(h)=250\\\\(pi)(16)(h)=250\\\\(pi)(h)=15.625\\\\(h) = \frac{15.625}{pi}\\\\h- approx. 4.974[/tex]
Ariane borrows $300 on a 4−year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years? What is the total amount she has to pay back?
anyone here good at math? go to my account to help me please!
Answer:
k
Step-by-step explanation:
Answer: Yeah, I'll help you!!! :)
Please do number 16 for me.
Answer: m∠5 = 75°.
Step-by-step explanation:
We know that lines A and B are parallel, and angles 1 and 5 are formed by the same line intersecting the parallel lines.
We know that:
"When a line intersects two parallel lines, corresponding angles are formed, such that we could think on four quadrants, the angles in each quadrant are equivalent between them"
Well, here we can see that angle ∠1 and angle ∠5 are formed by the same line, and both are in the same quadrant (would be the third quadrant if we use standard notation)
Then the measure of ∠1 is the same as the measure of ∠5
And we know that m∠1 = 75°
Then we must have that m∠5 = 75°.
7. At a baseball game Alex bought 5 hotdogs and a bag of chips for $8.50. Scott bought 2 hotdogs and 3 bags of chips for
$6. Each of the boys paid the same price for each hotdog and bag of chips. How much does a hotdog cost? How much
does a bag of chips cost?
S
Answer:
Step-by-step explanation:
5h + c = 8.50
2h + 3c = 6
Multiply first equation by -3, then add it to second equation.
-15h - 3c = -25.50
2h + 3c = 6
------------------------
-13h = -19.50
h = -19.50/(-13) = 1.5
c = 8.50-5h = 1'
hot dog costs $1.50
chips cost $1
Solve the equation for all values of x by completing the square x^2-35=2x
Answer:
x = 7, − 5
Step-by-step explanation:
Please do number 8 for me.
Answer:
u do 14 x 8 then + 78 then x = your answer
Step-by-step explanation:
sorry I dont have a calculator near me but just put that in!!!
-3x = -x + 4
Plz help
Answer: x=-2
Step-by-step explanation:
Given
-3x=-x+4
Add x on both sides
-3x+x=-x+4+x
-2x=4
Divide -2 on both sides
-2x/-2=4/-2
x=-2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x = -2
Step-by-step explanation:
-3x = -x + 4
Add x to the left hand side to bring all like terms together.
-3x + x = 4
Combine like terms.
-2x = 4
Divide both sides by -2.
x = -2
Hope this helped!
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -1
y-intercept: (0, -1)
Answer:
y = -x -1
Step-by-step explanation:
x1= 0, y1= -1
[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]
-1 = x/(y+1)
-1 (y+1) = x
y+1 = -x
y= -x -1
Someone please help me will mark BRIANLIEST
3/9 x 6/3
all of us:
Answer:
2/3
[tex] \frac{3 \times 6}{9 \times 3} [/tex]
[tex] = \frac{18}{27} [/tex]
[tex] \frac{18 \div 9}{27 \div 9} [/tex]
[tex] = \frac{2}{3} [/tex]
50.7 is what percent of 32? Round to the nearest tenth.
Answer:
56.3%
Step-by-step explanation:
0.5625×100= 56.25%
round to the nearest tenth.. which is 56.3%
What is the slope of the line?