Answer:
The number: 85 factors: 17, 1
Step-by-step explanation:
136-51=85
85 and 51
Common factors of 85 and 51
17,1
Bella invested $1000 this past year and earned $110 in interest. Bella's investment portfolio was made up of two items: stocks, which earned 15% interest, and bonds, which earned 7% interest. How much money, in dollars, did Bella invest in stocks this year? Enter your answer as a number with two decimal places.
Answer: Bella invested $500 in first and $500 in second stock this year.
Step-by-step explanation:
Given: Total principal amount = $1000
Interest = $110
For first year , interest = P x r , where P= principal , r= rate of interest ( in decimal)
For first bond , interest rate= 15% = 0.15
Let P = x
Interest = 0.15x
For second bond , interest rate= 7% = 0.07
Let P = 1000-x
Interest = 0.07(1000-x)=70-0.07x
Now, [tex]0.15x+70-0.07x=110[/tex]
[tex]\Rightarrow\ 0.8x=40\\\\\Rightarrow x=\dfrac{40}{0.08}\\\\\Rightarrow x=500[/tex]
Also, 1000-x = 1000-500=500
Hence, Bella invested $500 in first and $500 in second stock this year.
can you tell me the answer
PLZZZZ HELP WITHT THISSSS
Answer:
Domain:
[tex] - 2 \leqslant x \leqslant 2[/tex]
Range:
[tex] - 2 \leqslant y \leqslant 3[/tex]
Step-by-step Explanation:
The domain is all the values of x that make the function true. These are the values shown on the x-axis. The range is all the values of y that make the function true. These are the values shown on the y-axis.
convet one solar day into second
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
Ok so I just need to match the letter with the definition but I don’t get it help please!
Answer:
m = slope
b = y-intercept
y = output
x = input
y = mx + b
y2 - y1 / x2 - x1
Can someone help me please
Answer:
y = 119
x = 29
Step-by-step explanation:
I WILL GIVE BRAINLIEST! Which table of values corresponds to the graph below?
Answer:
the very bottom graph
Step-by-step explanation:
all of the points listed on the table match the graph
x values is found on the x axis (left to right)
y values are found on the y axis (up and down)
Answer:
see below
Step-by-step explanation:
From graph, points (2, 0) and (0, -2).
slope m = (y₂ - y₁) / (x₂ - x₁)
= (-2 - 0) / (0 - 2)
= -2 / -2
= 1
y-intercept using anyone of the above points and m:
y = mx + b
0 = 1(2) + b
0 = 2 + b
b = -2
Equation of line using m and b:
y = 1x - 2
Use y = 1x - 2 to check the points given in tables:
All points in below table seems to work.
(0, -2)
-2 = 0 - 2
-2 = -2
(1, -1)
-1 = 1 - 2
-1 = -1
(2, 0)
0 = 2 - 2
0 = 0
(4,2)
2 = 4 - 2
2 = 2
Which is the best estimate of 22 x 97 by using rounding or compatible numbers? F. 1.800 G. 2,000 H. 2.300 1. 2.400
Answer:
G
Step-by-step explanation:
2,134 is the answer to 22 times 97.
So, the estimate would have to be; G. 2,000
( 2,134 rounds to 2,000.)
A prism has 10 vertices.How many edges does it have?
Answer:
do you men triangular prism is 6 edges
On Wednesday, the store sign said that the new video game would be available in 33 days. On what day of the week should the sign say that it will be available in only 2 days?
Answer:
it depends on the month, assuming its october, its monday.
Step-by-step explanation:
Which expression converts 100 inches per minute to feet per minute?
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × StartFraction 1 foot Over 12 inches EndFraction
100 inches Over 1 minute times × StartFraction 12 inches Over 1 foot EndFraction
Answer:
100 inches Over 1 minute times × 1 foot Over 12 inches
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the siope of the line represented by the equation y= 4/5x - 3?
Answer:
4/5
Step-by-step explanation:
Slope is "m" in the formula y=mx+b
in your equation y=4/5x-3, 4/5 is in the "m" spot, so your answer is 4/5
In 1999, Marks & Spencer, a British department store, created the biggest sandwich ever made. The tuna and cucumber sandwich was in the form of a triangular prism. Suppose each slice of bread was 8 inches thick. Find each measure to the nearest tenth. a. The surface area in square feet of the sandwich when filled b. The volume of filling in cubic feet to the nearest tenth
Answer:
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = [tex]\frac{1}{4} h \sqrt{-a^4 +2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex] ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
Find an ordered pair (x,y) that is a solution to the equation.
x-2y=6
[tex]\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]
Given linear equⁿ : x - 2y = 6 .
So , on drawing its graph , the points though which it passes , the coordinates of that particular point will be a solution for this linear equⁿ .
Here , taking the given equⁿ & drawing its graph ,
⇒ x - 2y = 6 .
⇒ x = 6 + 2y .
Now , for a given value of y , x will also have some values .
[tex]\boxed{\begin{tabular}{|c|c|c|}\cline{1-3} \bf x & 6 & 8 \\ \cline{1-3} \bf y & 0 & 1 \\\cline{1-3} \end{tabular}}[/tex]
Now , it's clear that the required order pair which will be solution of the equⁿ can be ( 6 , 0 ) or ( 8 , 1 ) . But since it is a straight line it will have infinite number of solutions .
[ Also Refer to graph in the attachment ]
The ordered pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).
Given that,
Equation; [tex]\rm x-2y =6[/tex]
We have to determine,
An ordered pair (x, y) is a solution to the equation?
According to the question,
An ordered pair refers to a number written in a certain order. An ordered pair is used to show the position on a graph,
Where the "x" (horizontal) value is first, and the "y" (vertical) value is second. Also in the co-ordinate system, ordered pair is used to locate a point.
The points through which it passes, the coordinates of that particular point will be a solution for this linear equation.
Here, taking the given equation & drawing its graph,
Equation; [tex]\rm x-2y =6[/tex]
The equation can also be written as,
[tex]\rm x-2y =6\\\\x = 6+2y[/tex]
An ordered pair of the solution is found when substitute y = 0,
[tex]\rm x = 6+2y \\\\x= 6+2(0)\\\\x = 6+0\\\\x = 6[/tex]
And another ordered pair of the solution is found when substitute y = 1,
[tex]\rm x = 6+2y \\\\x= 6+2(1)\\\\x = 6+2\\\\x = 8[/tex]
Hence, the required order pair which will be the solution of the equation can be ( 6, 0 ) or ( 8, 1 ).
For more details refer to the link given below.
https://brainly.com/question/12926248
Ron is planning for the back-to-school rush at his store. Last year he estimated that he would need 168 notebooks, but he sold 200 notebooks. What was the absolute error in Ron’s estimate?
The absolute error is _______
Answer:
32
Step-by-step explanation:
Answer:
it is 32
Step-by-step explanation:
Solve the system of equations using substitution.
4x - y = 7
3y – 12x = -21
(3,5)
(6, 17)
no solution
infinite solutions
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write systems of equations
4x - y = 7
3y - 12x = -21
Step 2: Rewrite
-y = 7 - 4x
y = 4x - 7
Step 3: Solve for x
Substitute in y into second equation: 3(4x - 7) - 12x = -21Distribute 3: 12x - 21 - 12x = -21Combine like terms: -21 = -21Here we see that we would have infinite amount of solutions.
Answer: infinite solutions. Just took the quiz
Step-by-step explanation:
Sam raked 3 bags of leaves in 16 minutes. If he continues to work at the same rate, about how long will it take him to rake 5 bags.
(proportions with units)
Answer:
26 minutes and 40 seconds
Step-by-step explanation:
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Answer:
x+2y=-8
Step-by-step explanation:
Slope of given line = 2
Slope of the perpendicular line = -1/2
Equation of perpendicular line is (y-y1)=m(x-x1)
y-(-3)=-1/2(x-(-4))
y+3=-1/2(x+4)
2y+6=-x-2
x+2y=-8
which fraction is greater 4/6 or 2/10 or is it equal
Answer: 2/10 is larger
Step-by-step explanation:
A concrete mason has a scale drawing of a rectangular retaining wall. The scale from the retaining wall to the drawing is 8ft to 1in.
the rectangles number things are 10.25 and 2.75
Answer: 1,920ft
Step-by-step explanation:
Please help i’ll give brainliest
Answer:
C
Step-by-step explanation:
Angle Bisector means the line is being split in half evenly. So, when angle 3 is 60, so is angle 4. Angles 1 and 2 are both 30 degrees because 30 + 60 equals to 90 degrees.
I hope this helps!
Answer:
60⁰..................
1
A recipe for 6 servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?
Answer:
2 cups
Step-by-step explanation:
18/6 = 3
3 x 2/3 = 6/3
6/3 = 2
What is 8x8x8x8x3x3 in exponential form?
Step-by-step explanation:
[tex]8 ^{4} \times 3 {}^{2} [/tex]
Count how many of the same number, since you have four 8's the exponent will be
[tex]8 {}^{4} [/tex]
same applies for 3
Answer: [tex]8^4 \times 3^2[/tex]
On a keyboard, you can type 8^4*3^2 to indicate the same thing.
===========================================================
Explanation:
There are four copies of 8 being multiplied. Writing [tex]8^4[/tex] is a shorthand way of saying [tex]8 \times 8 \times 8 \times 8[/tex]. The exponent tells us how many copies of the base to multiply out.
Similarly, we have two copies of 3 which means [tex]3 \times 3 = 3^2[/tex]
find the length indicated
Answer:
ST = 5
Step-by-step explanation:
RT = 7
Subtract the RS, which is 2.
You get, ST = 5.
Can someone please help me with this question? It's so tricky
Answer:
math is tricky but itsall in your head jk you got this
Step-by-step explanation:
Answer:
C. 6 1/2
Step-by-step explanation:
your formula: V=lwh
(turn your fractions into improper numbers)
13/6*6/5*5/2= 13/2= 6 1/2
Two angles are supplementary. If one of them is 30 degrees, the other is...
150
150
30
30
15
15
60
Answer:
450
Step-by-step explanation:
A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.
Answer:
n + s = $68.75
Step-by-step explanation:
Amount spent on pizza and soda = $68.75
Number of pizza = n
The soda = s
Then the total amount soe t can be modeled thus :
(number of pizzas + number of soda) = total amount spent
n + s = $68.75
If the price of each slice of pizza and unit of soda was given, we could have been able to calculate the amount spent on each of soda and pizza.
its due in 20 min pls help me
Answer:
should be 1
Step-by-step explanation:
its constant meaning its an exact slope
and it runs through intersections every 1-1
so the answer is 1 because 1 over 1 in a fraction is still 1
the slope is positive because as you move to the right, the graph goes up
the slope is rise/run = 3/3 = 1
the slope of the line is 1
hope this helps!
Convert to a mixed number in simplest form 51/13
Answer:
[tex]3\frac{12}{13}[/tex]
Step-by-step explanation:
51 / 13 = 3.9231 = 3
51 - (13 x 3) = 12
[tex]3\frac{12}{13}[/tex]
Answer:
3 12/13
Step-by-step explanation:
51/13
13 goes into 51 3 times
13*3 =39
51-39 =12
The 12 goes over the denominator
3 12/13
help x/8 = 8/64
x=
Answer:
x=1
Step-by-step explanation:
x=1
1/8
multiply the denominator and numerator by 8, and it will match 8/64
x=1
1/8
It would match 8/64