Answer:
x=11.2
Step-by-step explanation:
x/16=7/10
x=7/10×16
x= 11.2
Step-by-step explanation:
First, let's write down the equation properly:
[tex] \frac{x}{16} = \frac{7}{10} [/tex]
Then we follow these simple steps to solve the equation to find the value of x.
Cross multiply fractions.10x = 112
Divide both sides by 10.x = 11.2
Liz has a recipe that uses 1 1/3 cups of sugar and 2 1/4 cups of flour to make 18 muffins. She has a total of 9 cups of flour. Liz wants to use all of her flour to make as many muffins as possible using this recipe.
Exactly how many cups of sugar will Liz use if she use all 9 cups of flour? & how many muffins will Liz make if she uses all 9 cups of flour?
well, first off let's convert the mixed fractions to improper fractions.
[tex]\stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} ~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}}[/tex]
now, let's use proportions to bind the sugar and flour that she'll be using, now if she were to use the 9 cups of flour, let's see how much will that be in sugar for this recipe
[tex]\begin{array}{ccll} \stackrel{cups}{sugar}&\stackrel{cups}{flour}\\ \cline{1-2} \frac{4}{3}&\frac{9}{4}\\[1em] S&9 \end{array}\implies \cfrac{~~ \frac{ 4}{3 } ~~}{S}~~ = ~~\cfrac{~~ \frac{ 9}{ 4} ~~}{9}\implies \cfrac{~~ \frac{ 4}{3 } ~~}{\frac{S}{1}}~~ = ~~\cfrac{~~ \frac{ 9}{ 4} ~~}{\frac{9}{1}}\implies \cfrac{4}{3S}=\cfrac{1}{4} \\\\\\ 16=3S\implies \cfrac{16}{3}=S\implies \boxed{ {\Large \begin{array}{llll} 5\frac{1}{3}=S \end{array}}}[/tex]
now, we know that 9/4 cups of flour gives Liz 18 muffins, well hell how many for 9 cups of flour then?
[tex]\begin{array}{ccll} \stackrel{cups}{flour}&muffins\\ \cline{1-2} \frac{9}{4} & 18\\[1em] 9& M \end{array} \implies \cfrac{~~ \frac{ 9}{4 } ~~}{9}~~=~~\cfrac{18}{M}\implies \cfrac{~~ \frac{ 9}{4 } ~~}{\frac{9}{1}}~~=~~\cfrac{18}{M} \\\\\\ \cfrac{1}{4}=\cfrac{18}{M}\implies \boxed{M=72}[/tex]
After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work.
3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5
Which is the most accurate description of Miko’s work?
A.Miko found the correct quotient and checked her work using multiplication correctly.
B.Miko found the correct quotient but checked her work using multiplication incorrectly.
C.Miko found an incorrect quotient but checked her work using multiplication correctly.
D.Miko found an incorrect quotient and checked her work using multiplication incorrectly.
The accurate description of Miko’s work is that D. Miko found an incorrect quotient and checked her work using multiplication incorrectly.
How to calculate the expression?From the information, Miko wants to complete the fraction division 5 divided by five-thirds.
This will be illustrated as:
= 5 ÷ 5/3.
= 5 × 3/5
= 3
From the information, the multiplication that was done to check the answer was:
= 3 × 5/3
= 5..
It should be noted that the quotient and the multiplication are wrong. Therefore, the correct option is D.
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Please help! See attachment! Thank u
The missing statements in the given paragraph proof are:
1) corresponding angle postulate
2) angles 3 and 1
3) transitive property of parallel lines
In this question, we have been given a paragraph proof.
we need to complete this proof.
We have been given L || K and M || K
To prove: L || M
Since L || K, ∠2 ≅ ∠1 by the corresponding angle postulate
Since M || K, angles 3 and 1 are congruent for the same reason.
By the transitive property of congruence, ∠2 ≅ ∠3
By the transitive property of parallel lines, L || M
Therefore, the missing statements in the given paragraph proof are:
1) corresponding angle postulate
2) angles 3 and 1
3) transitive property of parallel lines
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How will the area of a square change if its side becomes twice as long; 3 times as
long; 10 times as long; n times as long?
area increase by ( n squared.)
Step-by-step explanation:
consider a square whose sides are 3 by 3.Its area will be 9. if its length becomes twice as long,i.e 6 by 6 ,the area is 36.The ratio between the areas is 1:4 ,hence does the area.In short ,its area increases by 4 times.
(3.8 x 10^8)(6.9 x 10^5)
2.622e+14
OR
262200000000000x^2
Answer:
2.622e+14
Step-by-step explanation:
10^8=100000000
100000000x3.8=380000000
10^5=100000
100000x6.9= 690000
380000000x690000= 2.622e+14
PLEASE HELP !!!! WILL MAKE BRAIN MASTER
Answer:
13/ The Y-intercept is 4.95 b/c we know that m is the x, so we just need to plug in 0 for it and we will get the Y-intercept as 4.95.
14/ I don't know how to attach the graph
15/ $11.95
c= 0.05(140) + 4.95 = $11.95
What is 23/90 simplified
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 23 and 90 is 1
Divide both the numerator and denominator by the GCD
23 ÷ 1
90 ÷ 1
Reduced fraction:
23
90
Therefore, 23/90 simplified to lowest terms is 23/90.
Answer:
Step-by-step explanation:
it is not possible to simplify 23/90, the numerator and denominator can only be divided by 1 and it remains 23/90
MATHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answer:
Y=136
Step-by-step explanation:
The price of an item has been reduced by $3.27 the original price was $48.92 what is the price now
HELPPPPP PLEASE
Answer:
$45.65
Step-by-step explanation:
$48.92 - $3.27 = $45.65
Its urgent please help with all 6!!!
Using the segment addition postulate and the properties of equality, the value of n is determined as explained below.
What is the Segment Addition Postulate?The segment addition postulate states that if points X, Z, and Y are collinear and lie on a straight line, then the sum of the lengths of XZ and ZY would be equal to the length of XY.
Using the segment addition postulate and other properties of equality, the value of n in the image is determined as explained below:
XY = 42 Given
XZ + ZY = XY a. segment addition postulate
3(n + 4) + 3n = 42 b. substitution
3n + 12 + 3n = 42 c. distributive property
6n + 12 = 42 d. Combine like terms
6n = 30 e. subtraction property of equality
n = 5 f. division property of equality
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Please Help I would really appreciate it!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:slope(m) = \dfrac{3}{4} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Slope (m) of a line can be calculated by using this formulae :
[tex]\qquad \tt \rightarrow \: m = \dfrac{rise}{run} [/tex]
Considering two points [ (10 , 10) and (50 , 40) ]
[tex]\qquad \tt \rightarrow \: m = \dfrac{y2 - y1}{x2 - x1} [/tex]
[tex]\qquad \tt \rightarrow \: m = \dfrac{40 - 10}{50 - 10} [/tex]
[tex]\qquad \tt \rightarrow \: m = \dfrac{30}{40} [/tex]
[tex]\qquad \tt \rightarrow \: m = \dfrac{3}{4} [/tex]
So, slope of given line is 3/4
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
To find the slope of a graph you need to look for 2 pairs of accurate xand y values
First value which is accurate is:
x = 10 and y= 10
Second pair which is accurate is :
x = 50 and y = 40
Gradient = rise/run = y2-y1/x2-x1
im taking y2 as 40, x2 as 50, y1 as 10 and x1 as 10
40-10/50-10
= 30/40
=3/4
plsss mark as brainliest
what is one halve times four times five
Answer:
10
Step-by-step explanation:
One batch of cookies requires 1 3/4 cups of flour. How much flour would you need for 2/3 of a batch
The amount of flour needed for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].
What are fractions?An element of a whole is a fraction. The number is represented as a quotient in mathematics, where the numerator and denominator are divided.p/q is a common way to represent fractions. They are divided into three categories: proper fractions, improper fractions, and mixed fractions depending on the numerator and the denominator.Given:
Amount of flour required for one batch of cookies = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
Amount of flour needed for 2/3 of a batch of cookies = [tex]\frac{2}{3} * \frac{7}{4}[/tex] = [tex]\frac{7}{6}[/tex] = [tex]1\frac{1}{6}[/tex]
Therefore, the amount of flour required for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].
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hello please help me on this question as soon as possible
10 POINTS
The number of groups of 5/7 that are in 1 is 1 2/5.
when 8 is divided by 5/7, the quotient is 11 1/5.
What are the required values?A proper fraction is a non-integer in which the numerator is less than the denominator. The numerator is the number above and the denominator is the number below. An example of a proper fraction is 5/7.
In order to determine the groups of 5/7 are in 1, divide 1 by 5/7. Division is the process of determining the quotient of two or more numbers. Division is the process of grouping a number into equal groups using another number. The sign that denotes division is ÷.
1 ÷ 5/7
1 x 7/5 = 7/5 = 1 2/5
8 ÷ 5/7
8 x 7/5 = 56 / 5 = 11 1/5
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I need help with number 11 - 16
Answer: Where is the question I can help if you put in the question.
Step-by-step explanation:
Solve for x.
X-5=11
x = [?]
Answer: =16
Step-by-step explanation:
X-5=11
⇒X=11+5=16
⇒X=16
Ron Fortini received a 5.20% merit increase and
a 2.75% cost-of-living increase after his quarterly review.
His new weekly salary was $968.80. What was his weekly
salary prior to the increases?
A salary is the amount of money that an employee receives from their employer each month, particularly if they work in a profession like education, law, or medical
His weekly salary prior to the increases is $897.45.
How to find his salary prior?An employee's pay is the amount of money that they are given each month by their employer, particularly if they work in an occupation like education, law, or medicine.
For instance, the lawyer received a big salary.
Given,
Ron Fortini received a 5.20% merit increase
2.75% cost-of-living increase
His new weekly salary is $968.80.
Solution:
Let's take his initial salary as x.
The total increase in Ron's salary = 5.20%+2.75% = 7.95%
i.e.,
107.95% * x = $968.80
107.95/100*x = 968.80
x = 968.80 * 100/107.95
x = 897.45
His weekly salary prior to the increases is $897.45.
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please help me on this i don’t know how to do it like help me my brother
The line segment NO of the triangle MNO, that is similar to the triangle QRS, has a length of 25 meters.
How to determine the missing length of geometric system formed by two similar triangles
In this problem we have a system of two similar triangles. Two triangles are proportional when the sides of a triangle are proportional to the corresponding sides of the other triangle. Herein we find the following relationship:
MN / QR = NO / RS = MO / QS
If we know that QR = 1 m, MN = 5 m and RS = 5 m, then the length of the line segment NO is:
NO = (MN / QR) · RS
NO = (5 m / 1 m) · 5 m
NO = 25 m
The line segment NO has a length of 25 meters.
RemarkThere is a typing mistake in the statement, correct form is introduced below:
Given ΔMNO and ΔQRS are similar triangles. If QR = 1 meters, MN = 5 meters and RS = 5 meters. What does line NO equal to?
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Write the standard form of the line that contains a slope of -3/2
and y-intercept of 6. Include your work in your final answer. Type your answer in the box provided to submit your solution.
The standard form of the line that contains a slope of -3/2 and y-intercept of 6 is y = (-3/2)x + 6.
The slope intercept form of a line is:-
y = mx + c
Where,
m represents the slope of the line,
(x,y) represents the ordered pair of coordinates of each point on the line, and
c is the y-intercept
The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Hence, we have,
m = -3/2
c = 6
Hence, the standard form of the line that contains a slope of -3/2 and y-intercept of 6 is given by:-
y = (-3/2)x + 6
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write and find the general solution of the differential equation that models the verbal statement. the rate of change of n is proportional to n. (use k for the proportionality constant.) evaluate the solution at the specified value of the independent variable. when t
the whole answer to the differential equation used to model the statement. The relationship between the rate of change of n and n is (dN/dt)=kN.
Differential equation definitionA differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.
According to given data;
The derivative of N with respect to t, or (dN)/(dt), represents the rate of change of N.
dN/dt = kN, where k is the proportionality constant, if the rate of change of N is proportional to N. We must solve this differential equation.
To solve it, separate the variables:
(dN)/N = kdt
Integrating both sides results in
ln N = kt + C , where C is another constant.
This can be rewritten in exponential form as
N = e^(kt + C)
= N_0e^(kt) .
Here, N_0 = e^C
and it equals N(t) when t = 0.
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if two dice are rolled one time, find the probability of getting these results. enter your answers as fractions or as decimals rounded to 3 decimal places. part: 0 / 40 of 4 parts complete part 1 of 4 (a)a sum of 11
When two dice are rolled one time, the probability of getting a sum of 11 is 1/18.
How to calculate the probability?From the information, two dice are rolled one time. There are 6 different possibilities and the outcomes of rolling the dice will be:
= 6 × 6 = 36
It should be noted that the sum of 11 can be gotten as (6, 5) and (5, 6). That's 2 out of 36.
Therefore, the probability will be:
= 2 / 36
= 1 / 18
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Find RS
QR = 11
RS = 3x
the one of the bottom that is the same length as the top is 7x-1
Answer:
RS = 9
X = 3
Step-by-step explanation:
Because QS = QR + RS
QR = 11
RS = 3x
QS = 7x -1
So ...
11 + 3x = 7x - 1
+1
12 + 3x = 7x
-3x
12 = 4x
/ 4
x = 3
3(3) = 9
RS is 9
a right rectangular prism is packed with cubes of side length 1/6 inch. if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
The volume of the right rectangular prism= 1/3 cubic inches
In this question, we have been given a right rectangular prism is packed with cubes of side length 1/6 inch.
We need to find the volume of the rectangular prism if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height.
The length of the rectangular prism would be,
l = 12 × 1/6
l = 2 inches
The width of the rectangular prism would be,
w = 3 × 1/6
w = 1/2 inches
The height of the rectangular prism would be,
h = 2 × 1/6
h = 1/3 inches
so, the volume of the rectangular prism would be,
V = l × w × h
V = 2 × 1/2 × 1/3
V = 1/3 cubic inches
Therefore, the volume of the rectangular prism = 1/3 cubic inches
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The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(6x+3)°
(2x+7)°
The smallest angle of the right triangle is 27 degrees.
How to find the angle of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, the measure of the smallest angle in the triangle can be found as follows:
90 + 6x + 3 + 2x + 7 = 180
combine like terms
90 + 6x + 3 + 2x + 7 = 180
6x + 2x + 90 + 3 + 7 = 180
8x + 90 + 10 = 180
8x + 100 = 180
subtract 100 from both sides of the equation
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
divide both sides by 8
8x / 8 = 80 / 8
x = 10
angle 1 = 6(10) + 3 = 60 + 3 = 63°
angle 2 = 2(10) + 7 = 20 + 7 = 27°
Therefore,
smallest angle of the triangle = 27 degrees.
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17. In AGHI, m/G = (10x +9)°,
m/H = (3x + 13)°, and m/I = (x + 4)°. What
is the value of x?
The value of x in the triangle that we are to solve is 11
How to solve for the value of xwe have the sum of angles that are in a triangle to be = 180
such that we have to sum all of the triangles that we have here
10x + 9 + 3x + 13 + x + 4 = 180
we have to take the like terms
10x + 3x + x + 9 + 13 + 4 = 180
14x + 26 = 180
14x = 180 - 26
14x = 154
divide through by 14
x = 154 / 14
= 11
Therefore the value of x is 11
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It costs a flat fee of $100 to rent a water taxi, plus $15 per hour the water taxi is rented.
a. Circle any key words that can help you model this situation as a function!
b. Define your input variable, x:
15
c. Write a function, f(x), to model this scenario:
d. Find f(3). What does this value represent, in context?
e. What is the predicted cost of the water taxi, if you rent it for four hours? Express this
value in function notation.
Answer:
the answer is *a sorry if wrong
You set your entertainment budget to $100 per month. Eating out costs $35, movies cost $15, and concerts cost $60. Can you eat out, go to a movie, and go to a concert in the same month, while staying within your budget?
Answer:
no you will be $10 over budget
Step-by-step explanation:
start with $100
take away $35 for eating out = $65
take away $15 for movies = $50
then take away $60 for concerts
that means you willl be over $10
Answer:
it's 28.899 because it's more tan 1200
A train travels at 75 miles per hour. What equation that compares the time (t) with the distance (d)?
d = 75t
t = 75d
t = d + 75
d = t + 75
The domain is time (t) and the range is distance (d).
An ice cream truck driver sold 2,812 popsicles and 2,265 ice cream bars in one month. he had 422 treats left over. how many treats did he have to start with? 4,499 total treats 5,500 total treats 5,499 total treats 4,500 total treats
Answer: 5499
Step-by-step explanation:
2812 + 2265 + 422 = 5499
What is the quotient of 9,750 divided by 15? 65 650 975 6,500
Answer:
Step-by-step explanation:
The answer is 650 if you use long division you get 6 to make 90 drop the 7 then it is 75 15 goes into 75 5 times then add a zero for the last digit there for making 650. I also checked my work by multiplying 15X650 and I got 9,750.