Answer:
40 mL of vinegar,
280 mL of dressing
Step-by-step explanation:
Let v = the milliliters ( mL ) of 100% vinegar,
Then it should be that 320 - v = mL of dressing.
v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 [tex]*[/tex] v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.
Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,
v + .12( 320 - v ) = .23( 320 ) - Distribute " .12 "
v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "
v + 38.4 - 0.12v = 73.6 - Combine like terms and add / subtract
0.88v = 35.2 - Divide 0.88 on either side
v = 40 mL of vinegar,
320 - v = 320 - 40 = 280 mL of dressing
Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.
A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.
What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.
Answer: 1 & 4
Step-by-step explanation:
Just did it
Answer:
A.The height of the new trapezoid will be 1 ft.
D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
Step-by-step explanation:
edg2020
A Magic Carpet is 12 feet long and 10 feet wide. However, only the purple part of the Magic Carpet has magic power. If the magic part is 2 feet wide, find the area of the magic part of the Magic Carpet.
Answer:
24 ft.
Step-by-step explanation:
2x12=24
If y varies inversely with x and y= 17
when z = 11
when y = 11
find y when x=19
.
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 23 and 44
Answer:
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
Step-by-step explanation:
we will use the concept of triangle
1. sum of two sides of triangles is always greater than the third side
2. difference of trow sides of triangle is always less than the third side.
Given two sides
23 and 44
let the third side b x
using first concept
sum of to sides = 23+44 = 67
thus,
x <67
using second concept
Difference of to sides = 44 - 23 = 21
thus,
x > 21
Combining
x <67 and x > 21
21 < x < 67 answer
Range is between 21 and 67 where 21 and 67 are not included in the range.
if a person were to. begin exercise regularly, would his or her metabolism increase or decrease? what effect might this have on his or her body?
Answer:
increase
Step-by-step explanation:
The rate at which you burn calories is called your metabolic rate. During exercise, you not only increase metabolism in your muscles but also in your respiratory and circulatory systems. You need a faster rate of breathing and heart rate to deliver oxygen and nutrients to your muscles.
You buy boxes of strawberries at the market. Each box cost $6. Write an equation for the number of dollars, d, you spend on b boxes. Yesterday, you purchased 2 boxes. Today you purchase 5 boxes. Place points on the graph to show your purchases yesterday and today.
Answer:
Heyyyy... Your ans!
Plz follow. Me..
Step-by-step explanation:
Answer:
Your answer is d=6b
Step-by-step explanation:
Which expression is correctly written in scientific notation?
A. 398 x 10^1 B. 39.8 x 10^2
C. 3.98 x 10^4 D. .398 x 10^3
Need answer ASAP
Answer:
C. 3.98 x 10^4
Step-by-step explanation:
We are only allowed one non zero digit before the decimal
A. 398 x 10^1 3 non zero digits
B. 39.8 x 10^2 2 non zero digits
C. 3.98 x 10^4 1 non zero digit
D. .398 x 10^3 0 non zero digits
Searches related to Leonard measured the mass of each pumpkin in his patch to the nearest tenth of a kilogram. He then created both a histogram and a box plot to display the same data (both diagrams are shown below). Which display can be used to find how many pumpkins had masses below 6.0 kilograms? Choose 1 answer: Which display can be used to find that the median mass was 8 kilograms?
Answer:
Masses Below 6: Histogram
Median Mass: Box Plot
Step-by-step explanation:
For the pumpkins below 6 kilograms in mass, the Histogram is easier to use. The information is grouped in different masses. You could look at the '0-2.9' and the '3.0-5.9' areas to see pumpkins under 6 kilograms.
For the median, the box plot is easier to use. The line inside the box represents the median. This means that you can very easily see the median. The line is at the '8' mark, so the box plot shows that the median is 8.
Brainilest Appreciated.
If f(x) = square root of x+3, what is the equation for f–1(x)? f–1(x) = x2 - 3 f–1(x) = x2 + 3 f–1(x) = (x - 3) 2 f–1(x) = (x + 3) 2
Answer:
[tex]\Large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex]\text{For }x+3\geq 0\\\\f(x)=\sqrt{x+3}\\\\x=(fof^{-1})(x)=f(f^{-1}(x))=\sqrt{f^{-1}(x)+3}\\\\\text{*** take the square ***}\\\\f^{-1}(x)+3=x^2\\\\\text{*** subtract 3 from both sides ***}\\\\\large \boxed{\sf \ \ f^{-1}(x)=x^2-3 \ \ }\\[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Which value of x makes this equation true? 41 + x = 73 Math item stem image CLEAR CHECK 9 32 73 114
Answer:
32
Step-by-step explanation:
41+x=73
x=73-41
x=32
Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?
Answer:
210.8
Step-by-step explanation:
Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
-ZYLYNN
How do you solve this type of problem, what would be the procedure? Assume PQRS is a parallelogram, if PQ=x2−10 and SR=3x , find all possible values of x.
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
Shape: Parallelogram PQRS
[tex]PQ = x^2 - 10[/tex]
[tex]SR = 3x[/tex]
Required
Find all possible values of x
Every parallelogram have parallel and equal opposite sides;
From the given parameters, one can easily deduce that PQ and SR are opposite sides;
This implies that
[tex]PQ = SR[/tex]
Substitute values of PQ and SR
[tex]x^2 - 10 = 3x[/tex]
Subtract 3x from both sides
[tex]x^2 - 10 -3x = 3x - 3x[/tex]
[tex]x^2 - 10 -3x = 0[/tex]
Rearrange
[tex]x^2 -3x- 10 = 0[/tex]
Now, we have a quadratic equation;
Expand the above expression
[tex]x^2 +2x-5x- 10 = 0[/tex]
Factorize
[tex]x(x+2)-5(x+2) = 0[/tex]
[tex](x-5)(x+2) = 0[/tex]
[tex]x - 5 = 0[/tex] or [tex]x + 2 = 0[/tex]
Solve for x in both cases
[tex]x = 5[/tex] or [tex]x = -2[/tex]
But x can't be negative;
So, the possible value of x is
[tex]x = 5[/tex]
4x2 + 8x - 7 - (3x2 - X+9)
Answer:
[tex] {x}^{2} + 9x - 16[/tex]Step-by-step explanation:
[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:
[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]
Collect like terms
[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]
[tex] {x}^{2} + 9x - 7 - 9[/tex]
Calculate
[tex] {x}^{2} + 9x - 16[/tex]
Hope this helps...
Good luck on your assignment...
If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False
Answer:
[tex]\boxed{\mathrm{True}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2+3[/tex]
Put x = x -1
[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]
So, it is true.
Answer:
True
Step-by-step explanation:
The box plot shows the amount money that you spend each month on new clothes.
What is the median amount spent?
Answer:
80
Step-by-step explanation:
The median is the middle line of the box plot
Answer:
def 80
Step-by-step explanation:
......................................
Answer:
Towards the left
Step-by-step explanation:
Which of the following theorems verifies that HIJ= KLM?
Answer:
D
Step-by-step explanation:
We see that one corresponding angle and the hypotenuses of the right triangles are congruent so the answer is HA. (The H stands for hypotenuse and the A stands for angle.)
Answer:
[tex]\boxed{HA}[/tex]
Step-by-step explanation:
The theorem that verifies ΔHIJ ≅ ΔKLM is the HA (Hypotenuse-Angle Theorem) which shows that the hypotenuse and an acute angle are congruent to each other.
=> IJ ≅ LM (Hypotenuse)
=> ∠NIJ ≅ ∠KLM (Acute Angle)
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.9 t 2 + 118 t + 115 . Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.
Answer:
A.) 24.08 seconds
B.) 825.42 metres
Step-by-step explanation:
function of time is given as
h ( t ) = − 4.9 t 2 + 118 t + 115 .
Where a = -4.9, b = 118, c = 115
Let's assume that the trajectory of the rocket is a perfect parabola.
The time t the rocket will reach its maximum height will be at the symmetry of the parabola.
t = -b/2a
Substitute b and a into the formula
t = -118/-2(4.9)
t = 118/9.8
t = 12.041 seconds
Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.
2t = 2 × 12.041 = 24.08 seconds
Therefore, the rocket splashes down after 24.08 seconds.
B.) At maximum height, time t = 12.041s
Substitute t for 12.041 in the function
h ( t ) = − 4.9 t 2 + 118 t + 115
h(t) = -4.9(12.041)^2 + 118(12.041) + 115
h(t) = -4.9(144.98) + 118(12.041) + 115
h(t) = -710.402 + 1420.82 + 115
h(t) = 825.42 metres
Therefore, the rocket get to the peak at 825.42 metres
Add
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)
Answer:
5x^4+ 2x^3+3x² – 3x + 2
Step-by-step explanation:
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)
Combine like terms
5x^4+ 2x^3+3x² – 3x + 3– 1
The only like terms are the constants
5x^4+ 2x^3+3x² – 3x + 2
Answer:
5x^4 + 2x^3 -3x^2 - 3x + 2
Step-by-step explanation:
Expanding out the brackets:
5x^4 + 2x^3 - 1 + 3x^2 - 3x + 3.
Simplifying gives
5x^4 + 2x^3 - 3x^2 - 3x + 2
Remember you can only add x's together if they have the same power. This makes sense why you can 2 to -1 because they are both the same power of x, x^0. (which equals 1 by default)
The circle below has center C. Suppose angle EDF = 84º and DF is tangent to the circle at D.
Find the following. Type your numerical answers (without units) in each blank.
Answer: [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
Step-by-step explanation:
In the given , we have a circle centered at C , ED is a chord and DF is a tangent touching circle at D, ∠EDF = 84°.
Also, CE = CD = radius
⇒ ∠CED = ∠CDE ---(i) [angles opposite to equal sides of triangle are equal]
Since radius makes a right angle with tangent.
So, ∠CDF = 90°
⇒ ∠CDE =∠CDF - ∠EDF
⇒ ∠CDE= 90° - 84°
⇒ ∠CDE = 6°
From (i) ∠CED =∠CDE = 6°
In ΔCDE
⇒∠CED + ∠CDE + ∠ECD = 180°
⇒ 6°+6°+ ∠ECD = 180°
⇒ 12°+ ∠ECD = 180°
⇒∠ECD = 180° - 12°
⇒∠ECD = 168°
Since , Angle measure of the central angle is equal to the measure of the intercepted arc.
Therefore m∠ECD = [tex]m\overbrace{ED}[/tex]
⇒[tex]m\overbrace{ED}[/tex]= 168°
Hence, [tex]m\overbrace{ED}[/tex]= 168° and ∠ECD = 168°
3^2x3^5x3^7 In index form
Answer:
[tex]3^{14}[/tex]
Step-by-step explanation:
Given the expression: [tex]3^2\times 3^5\times 3^7[/tex]
To simplify the expression, we apply the addition law of indices.
Given two index terms with the same base, [tex]a^x$ and a^y[/tex], their product:
[tex]a^x \times a^y=a^{x+y}[/tex]
Therefore, since we have the number 3 as the same base in all the terms:
[tex]3^2\times 3^5\times 3^7 =3^{2+5+7}\\\\=3^{14}[/tex]
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation? 1200 = 40 (40) + b 1560 = 30 (40) + b 1560 = 30 (52) + b 1200 = 52 (30) + b
The slope (change in y/change in x) of the line is (1560 - 1200)/(52 - 40), which is equal to 30. We can plug this into the equation y = mx + b using either the point (40, 1200) or (52, 1560). The slope is represented by m and the y - intercept by b. Therefore, the two possible equations you could use are:
1200 = 30(40) + b
or 1560 = 30(52) + b
Using either equation, you'll get that b is equal to 0, which makes sense in the context of the problem, since it's reasonable to expect that the labor expenses would be 0 for 0 hours worked.
Answer:
im pretty sure its C
Step-by-step explanation:
Hope this helped! :) Oh and I took the test on edge and got a good grade, but i didnt know if i got this right or wrong bc i couldnt look back at it
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number and the equation
Answer:
The number is 32.
The equation is 32 - 9 = 23.
Explanation:
The original number is 32, but when you subtract 9, the number changes to 23. So the digits reversed.
The required number is 32 and the equation is 10x+y.
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. To Find the number and the equation
In mathematics it deals with numbers of operations according to the statements.
Let the number at unit place is y and at tenth place is x so the number is
=10x+y
Now sum of the number is 5
x + y =5 -------(1)
When 9 is subtracted from the number, the digits will be reversed.
10x+y-9=10y+x
9x-9y=9
x-y=1 ------(2)
Solving equation 1 and 2
y = 2
x = 3
the number 10(3)+2 = 32
Thus, The required number is 32.the equation is 10x+y.
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If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q = Question 3 options: A) 4x2 + 4x + 4 B) 4x2 – 4x – 4 C) 4x2 – 4x + 4 D) 4x2 + 4x – 4
Answer:
D) 4x2+4x=4
Step-by-step explanation:
3x2+x2=4x2
-x+5x=+4x
2-6=-4
Combine them for 4x2+4x-4
The correct expression will be 4x²+4x-4
What is expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are two expression:- P = 3x²-x+2 and Q = x²+5x-6
On adding the given expressions, we get,
P+Q = 3x²-x+2+x²+5x-6
= 3x²+x²-x+5x+2-6
= 4x²+4x-4
Hence, P+Q = 4x²+4x-4
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(will mark brainliest if correct) find area and perimeter
Answer:
32.137 cm squared **Answer varies on how you round for step 2**
Step-by-step explanation:
**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**
If the diameter is also 6 cm then the triangle would be isosceles .
1. Find the area of the triangle.
Formula: (Base x Height) / 2
= 6X6/2 = 18 cm squared
2. Find area of half-circle.
Formula: (πR^2)/2
= (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared
3. Add the areas.
18 + 14.137 = 32.137 cm squared.
HELP ASAP!
Identify the outlier in the data set and then find the mean and median with and without the outlier.
4, 14, 5, 2, 16, 138, 11
If necessary, round your answers to the nearest tenth.
outlier = 4
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 41.6
median without outlier = 12.5
outlier = 4
mean with outlier = 11
median with outlier = 27.1
mean without outlier = 8
median without outlier = 8.7
outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
outlier = 138
mean with outlier = 8.7
median with outlier = 8
mean without outlier = 27.1
median without outlier = 11
Answer:
C. outlier = 138
mean with outlier = 27.1
median with outlier = 11
mean without outlier = 8.7
median without outlier = 8
Step-by-step explanation:
Hey there!
Well if the outlier is 138 then we can cross out choices A and B.
So let's find the mean with and without the outlier.
With - 27.1
Without - 8.7
Median)
With - 11
Without - 8
By using this information we can conclude that the answer is C.
Hope this helps :)
Given a line segment that contains the points A,B,& C in order, if AB = x + 12, and Bo2.4, and AC = 26, find x.
Answer:
x=11.6
Step-by-step explanation:
Fill in the table using this function rule.
y=-6x-1
Answer:
5, -1, -7, -31
Step-by-step explanation:
When you plug in x digits you get these numbers.
By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.
What is a linear function?"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"
For the given situation,
The function is y=-6x-1.
Substitute the different values of x in function y, to obtain the value of y.
For x = -1,
[tex]y=-6(-1)-1[/tex]
⇒ [tex]y=5[/tex]
For x = 0,
[tex]y=-6(0)-1[/tex]
⇒ [tex]y=-1[/tex]
For x = 1,
[tex]y=-6(1)-1[/tex]
⇒ [tex]y=-7[/tex]
For x = 5,
[tex]y=-6(5)-1[/tex]⇒ [tex]y=-31[/tex]
The table below shows the values of x and the function y.
Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.
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Solve: M = 7a + 5ab for a.
Select one:
a. M ( 7 + 5b )
b. M/ ( 7 + Fb)
c. M/ ( 7 - 5b)
d. M(7 - 5b)
algebra 1 really need help
Answer:r
Step-by-step explanation:
On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
What is the isolation of a variable in an equation?The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.
How to solve the question?In the question, we are asked to solve for a, from the given equation:
M = 7a + 5ab.
To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.
To isolate 'a', we will follow these steps:
M = 7a + 5ab
or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)
or, a(7 + 5b) = M ... (Changing the sides)
or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))
or, a = M/(7 + 5b) ... (Simplifying)
Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.
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