Answer:
2s + 5a > 1000
s + a < 500
Key:
s represents a sold student ticket
a represents a sold adult ticket
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.
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.
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.
(this is about Write Expressions)
~~
Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age
Answer:
the answer is five because 3 times 5 is 15
Step-by-step explanation:
Answer:
Equation : - three times a number is equal to 15
3x = 15
x = 15 ÷ 3
x = 5
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
Alguien que me ayude a calcular la medida de un angulo central interno y externo de un heptagono { interno y externo]
Responder:
suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
Explicación paso a paso:
Un heptágono es un polígono de 7 lados:
Para cualquier polígono con n lados:
El ángulo exterior del polígono suma 360 °
Por lo tanto, la medida de cada ángulo central de un heptágono es:
Suma de ángulos exteriores / número de lados
360 ° ÷ 7
= 51,43 °
El ángulo interior de un polígono se obtiene mediante la relación:
(n - 2) 180 °
Heptágono tiene 7 lados:
(7 - 2) 180 °
5 (180 °)
= 900 °
Por tanto, suma de ángulos interiores = 900 °
Suma de ángulos exteriores = 360 °
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
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
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:
:)
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 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 the slope of the line?
-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!
What is the ratio of blue stars to red stars?
Answer:
red is 3 and blue is 6 so 3:6
Step-by-step explanation:
y=2x2+3 is this a linear or nonlinear function
Answer:
y=7
Step-by-step explanation:
2x2=4 +3 =7 y
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
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°.
Using the exchange rate £1 = $1.35, calculate how many £ are in $8.70. Give your answer
rounded to 2 dp.
Answer:
£6.4
Step-by-step explanation:
£1 = $1.35
To find out the amount of £ , we would simply divide $8.70 by 1.35.
$8.70 / $1.35 = £6.4 rounded to 2 s.f.
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 :) ❤
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
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:
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
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!!!
Someone please help me will mark BRIANLIEST
A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?
Which type of triangle has side measures of 5 cm, 9 cm, and 12.7 cm and one angle measure of 128°?
A.
acute isosceles
B.
obtuse scalene
C.
obtuse isosceles
D.
acute scalene
This question is dealing with classification of triangles based on angles or on number of equal sides.
the triangle is called an Obtuse Scalene Triangle
Now, the classification in terms of angles are;
- Acute angle is when the angle measures between 0 and 90 degrees.
- Obtuse angle is when the angle is greater than 90 but less than 180 degrees.
- right angle is when the angle is exactly 90 degrees.
- Reflex angle is when the angle is greater than 180 but less than 360 degrees.
Now the classification in terms of equal sides;
- Isosceles triangle is one that has 2 equal sides.
- Equilateral triangle is one that has 3 equal sides.
- Scalene triangle is one that has no equal sides.
The lengths of the three sides of the triangle given are;
5 cm, 9 cm, and 12.7 cm
The three sides are not equal and from definition above it is called scalene triangle.
The angle given is 128° and from definition earlier, it is an obtuse angle.
In conclusion, the triangle is called an Obtuse Scalene Triangle
Read more at; brainly.com/question/8704415
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.
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%
Find the first four terms of the sequence given the rule: *image*
Answer:4,20,100,500
Step-by-step explanation: i just did it
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?