Answer:-20
Step-by-step explanation:
slope= (y2-y1)/(x2-x1)
= -22-(-2)/(-4-(-4)
= -20/0
Santiago receives $251 Per year and simple interest from three investments. Part is invested at 2% part at 3% and part at 4%. There is $500 more invested at 3% then at 2%. The amount invested at 4% is six times the amount invested at 3%. Find the amount invested at each rate.
Answer:
2% : $400
3% : $900
4% : $5400
Step-by-step explanation:
Given that :
Total interest received = 251
Let investment at 2% = x
At 3% = 500 + x
At 4% = 6(500 + x) = 3000 + 6x
Simple interest :
Principal * rate * time
At 2%:
Simple interest = 0.02x
At 3%:
Simple interest = 0.03 * (500 + x) = 15 + 0.03x
At 4%:
Simple interest = 0.04 * (3000 + 6x) = 120 + 0.24x
0.02x + 15 + 0.03x + 120 + 0.24x = 251
0.29x + 135 = 251
0.29x = 116
x = 116 / 0.29
x = 400
Amount invested at 2% = x = $400
Amount invested at 3% = $500 + x = 500 + 400 = 900
Amount invested at 4% = 3000 + 6x = $3000 + 6(400) = $3000 + $2400 = $5400
John weighs 65 kilograms, Sam weighs 22x kilograms, and Mark weighs 13x kilograms. Write an expression in the simplest form for their combined weight.
Answer:
35x + 65 kg
Step-by-step explanation:
Combine like terms. 22x+13x=35x. Final equation: 35x + 65 kg
Justin uses į of a gallon of paint to cover of his bedroom wall.
How much paint is needed to cover the entire wall?
it depends what is the size of the wall and how much can be covered with 1 gallon .
The area of a circle is equal to ___ times the ____ of its _____
Answer:
The area of a circle is equal to pi times the square of its Radius
Step-by-step explanation:
Answer:
Pie, Diameter, Circle
Step-by-step explanation:
Write a diameter of 7.024 x 10-5 centimeter in standard notation.
Answer:
[tex]0.00007024[/tex] cm
Step-by-step explanation:
Standard notation just mean to expand the number.
Because the exponent is -5, move the decimal 5 places to the left.
[tex]7.024*10^{-5}[/tex]
[tex]0.00007024[/tex]
Hope this helped!
please help I'm actually crying! Find A and B if the graph of Ax + By = 7 passes through (2,1) and is parallel to the graph of 2x - 7y = 3.
Answer:
awwww dont cry. i know this isnt helpful but if it makes u feel better, im stuck on it too. Take a deep breath and hope someone will come and help us, <3
Step-by-step explanation:
Unit 3 Homework 6 Geometry
I need help for 21 &22
Answer:
22
Step-by-step explanation:
222÷11 =22
22 ÷111 =000⁰00
If the company decides to produce 10,000 containers of new extra crunchy peanut butter how many containers of regular crunchy would it produce
Answer:
Step-by-step explanation:
how to find the median ?? and explain one problem
Answer:
It's quite simple, let me explain..
Step-by-step explanation:
The median is the middle of a data set, so you would need to find the exact middle of your data set.
If your data set is odd, and has an odd amount of numbers, just get the number exactly in the middle, and that would be your median. But when your data set has an even amount of numbers, it is a bit tricky.
Here's an example:
85, 78, 96, 83, 77
As you can see, this set has an odd amount of numbers, 5 numbers to be exact. The median would be 96 because it is exactly in the middle.
An example of a data set with even numbers would be this:
1, 2, 3, 4
What you would do is add the two numbers in the middle, and divide by two.
In this case, 2 and three are in the middle, so you would add 2 and 3, which is 5. Then you would divide 5 by two which is 2.5
2.5 Would be your median.
Hopefully this made sense, please ask questions if you have any.
What is the best estimate of the perimeter of the figure below if each square has a side length of 1 foot?
On a coordinate plane, a figure is 30 units around.
26 feet
28 feet
30 feet
39 feet
Answer:
A
Step-by-step explanation:
perimeter- 26
use the digits 4,5, and 6 to write a number in with 4 has a value of 400.
Answer:
456
Step-by-step explanation:
456 = 4*100 + 5*10 + 6
so 4 represents 400 here
In a survey of 2,800 people who owned a certain type of car, 840 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
30% of people surveyed were satisfied with the car.
Step-by-step explanation:
We are given:
Total participants in survey= 2800
People satisfied with car = 840
We need to find percent of the people surveyed were satisfied with the car.
The formula used is: [tex]\frac{People \ satisfied \ with \ car}{Total \ participants \ in \ survey} \times 100[/tex]
[tex]=\frac{840}{2800}\times 100\\=30\%[/tex]
So, 30% of people surveyed were satisfied with the car.
4 + y =36+65x85 help what y
Answer:
8411?
Step-by-step explanation:
I am not entirely sure because you put an x without any spaces soo I don't know if that supposed to be a variable or multiplication sign. If its a multiplication sign then its 8411 because 36+65=99. 99 x 85=8415. 8415 - 4 = 8411.
Answer:
|2y|=3+2
3ˣ⁺⁴=4
4cos²([tex]x[/tex])-1=0
Step-by-step explana|tion:
Can someone do this? I will give branilest! Although It needs a lot of detail for a good grade and in needs to be *correct*. Fake answers = report
Answer:
32Step-by-step explanation:
5+3.3x-25+3.3(2)-28.6-28.432HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.INKayleigh has 3 1/2 gallons of water. She wants to fill up 1/3 cups. How many cups can she fill and how much is left over?
Answer:
10.5
Step-by-step explanation:
What is the correct answer for all of them?
Answer:
i wish i could tell ya bud but i cant see the image
Step-by-step explanation:
its blocked off for me
What is the multiplicative inverse of 1/2?
2
-1/2
-2
Answer:
-2/1
Step-by-step explanation:
Answer:
The multiplicative inverse is 2
Step-by-step explanation:
In mathematics, we call the number 1 the multiplicative identity because if we multiple any number by 1, we get that same number as our answer. A multiplicative inverse of a number, x, is a number y, such that if we multiply x times y, then we get the multiplicative identity. That is, x × y = 1.
what’s the slope of (6,5) and (10,8)
Answer:
3/4
Step-by-step explanation:
rise
___
Run
Answer:
3/4
Step-by-step explanation:
8-5= 3
10-6= 4
2. Suppose there are 50 cats in a neighborhood. The ratio of cats to dogs is 2/1 . many dogs are in the neighborhood? (4 points)
The figures are similar. Find the missing length. Round to the nearest thousandth. (Hint: this is actually a reduction, the shape is misleading).
Answer:
x = 3.125 ft
Step-by-step explanation:
[tex]\frac{5}{x}=\frac{8}{5} \\8x = 25\\x = \frac{25}{8}=3.125[/tex]
solve for x -5(-x+1)-3x-1=-12
Answer:
x = -2
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
x - 5(-x + 1) - 3x - 1 = -12
Step 2: Solve for x
Distribute -5: x + 5x - 5 - 3x - 1 = -12Combine like terms: 3x - 6 = -12Add 6 to both sides: 3x = -6Divide 3 on both sides: x = -2Step 3: Check
Plug in x to verify it's a solution.
Substitute: -2 - 5(-(-2) + 1) - 3(-2) - 1 = -12Multiply: -2 - 5(2 + 1) + 6 - 1 = -12Add: -2 - 5(3) + 6 - 1 = -12Multiply: -2 - 15 + 6 - 1 = -12Subtract: -17 + 6 - 1 = -12Add: -11 - 1 = -12Subtract: -12 = -121) (10x2 + 24x – 20) = (x+3)
Long division
Answer:
x= 3/23
Step-by-step explanation:
10×2+24x-20=x+3
multiply the numbers
20+24-20=x+3
eleminate the opposites
24x=x+3
move the variable to the left
24x-x=3
collect like terms
23x=3
devide both side by 23
x=3/23
tried my best to explain, have a great day or night!
Wow...I forgot how to do this please help
Answer:
B. y = -6x+7
Step-by-step explanation:
change in x is positive 6 change in y is negative 1
6/-1 is the slope
-6 is the slope
-3n^2-13n +1= 0
need this asap. i’m lost.
Answer:
if you're trying to find the discriminant, then it's 181.
Step-by-step explanation:
The first new path will increase access to the fountain. it will be perpendicular to the existing path and pass through F(4,14). Write an equation that represents this new path l. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.
Answer:
y=1/4x+13
Step-by-step explanation:
If an airplane travels at an average speed of 510 mph, how far does the airplane move in 50 minutes?
Answer:
425 miles
Step-by-step explanation:
Divide 510 by 60 to get miles per minute and then multiply by 50 to get miles in 50 minutes
The airplane move 425 miles in 50 minutes.
what is Speed- Distance Formula?Speed = Distance/TimDistance = Speed X Time, and Time = Distance / SpeedGiven:
Speed= 510 mph
Time= 50 min = 50/60 hour.
So, speed= Distance / Time
510 = Distance / (5/6)
510 x 5/6 = Distance
Distance = 425 miles
Hence, the Airplane travel 425 miles.
Learn more about speed distance formula here:
https://brainly.com/question/26209051
#SPJ2
I need equations from the graphs written in slope intercept form.
Answer:
6.y=-4x+3 7. Y= -2x/3 +3 8. y=1/4x - 4 9. y= 1/5x+3 10. Y= -2x+1
Step-by-step explanation:
Your welcome
A cube-shaped box has a volume of 64 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the box? A. 2 cubes B. 4 cubes C. 8 cubes D. 16 cubes
Solve for x
3x^{2}+7x+2=0
Mrs. MaryAnn is giving treat sacks out for Valentines Day. She has 30 pencils and 42 smiley face stickers. Mrs. Maryann wants each treat sack to be identical with no leftovers Whats the greatest number of treat sacks she can make? How many pencils will be in each treat sack? How many smiley face stickers will be in each treat sack?
Answer:
6 number treat sacks and
each sack having 5 pencils and 7 smiley face stickers.
Step-by-step explanation:
Given that:
Number of pencils = 30
Number of smiley face stickers = 42
Mrs. MaryAnn wants to divide everything in identical treat sacks so that there are no leftovers.
To find:
The number of greatest number of treat sacks.
Solution:
First of all, we need to find the Highest Common Factor of the two numbers.
Factorization method:
[tex]30 = \underline2\times \underline3\times 5[/tex]
[tex]42 = \underline2\times \underline3 \times 7[/tex]
Here, the common numbers 2 and 3.
So, highest common factor is [tex]2\times 3 = 6[/tex]
If we divide 30 by 6, we get 5 and
If we divide 42 by 6, we get 7
So, if we take 5 pencils and 7 smiley face stickers in one treat sack and if we make 6 such treat sacks then there will be equal division and no leftovers.
Therefore, the answer is:
6 number treat sacks and
each sack having 5 pencils and 7 smiley face stickers.