By performing a change of units, we will see that she did make 1.375 cups of salad dressing.
How many total cups does she make?First, we know that she combines 8 oz of oil and 3 oz of vinegar, then the total volume in ounces is:
V = 8oz + 3 oz = 11 oz
Now we want to know how many cups there are in 11 ounces, so we need to perform a change of units.
We know that:
1 oz = 0.125 cups
Then we can write:
11 oz = 11*(1 oz) = 11*(0.125 cups) = 1.375 cups
If you want to learn more about changes of units, you can read:
https://brainly.com/question/9032119
Ling deposited $70 in a savings account earning 10% interest, compounded annually To the nearest cent , how much will she have in 3 years?
Answer:
$9.93
Step-by-step explanation:
sorry if it doesn't help.
Brent and his family spent $21 for admission to the country fair. They bought two adult passes for six dollars each and three children passes for three dollars each. How much more money did Brents family spend on adults passes then children's passes?
A mechanic charges a $30 flat rate plus $20 per hour. If he wants to earn at least $350 this week, how many hours will he need to work?
Answer:
16 hours
Step-by-step explanation:
Let the mechanic works for x hours to make a money of $350.
Fixed charges = $30
Charges per hour = $20
So, charges for x hours = $20x
Total money earned = $350
[tex] \implies \: 20x + 30 = 350 \\ \\ \implies \: 20x = 350 - 30 \\ \\ \implies \: 20x = 320 \\ \\ \implies \: x = \frac{320}{20} \\ \\ \implies \: x = 16 \: hours[/tex]
Thus, the mechanic needs to work for 16 hours to make $350.
can you help me plz do it asap
What are the coordinates of point A?
On a coordinate plane, point A is 4 units to the left and 3 units down.
(–4, 3)
(3, –4)
(–3, –4)
(–4, –3)
0.45 as fraction in simplified form
Answer:
9/2
Step-by-step explanation:
0.45 = 45/100 = 9/20.
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Convert to fraction:
[tex]0.45[/tex]
Convert decimal to fraction:
[tex]\frac{45}{100}[/tex]
Reduce the fraction:
[tex]\frac{9}{20}[/tex]
A woman is 69 1/2 inches tall and her son is 66 2/9 inches tall. How much taller is the woman?
Answer:
Find The InterestRs1000 rateRs10%isRs1200
PLEASE HELP QUICKLY!!! LOOK AT THE PICTURE ATTACHED!
Answer:
[tex]{ \tt{16 {b}^{2} c {}^{12} - 0.25 }}[/tex]
» Change the decimal to a fraction:
[tex] = { \tt{ {16b}^{2} {c}^{12} - \frac{1}{4} }} \\ [/tex]
» Change the other degrees to indices;
16 = 4²4 = 2²[tex] = { \tt{ \blue{( {4}^{2}) }} {b}^{2} {c}^{12} - \frac{1}{ \red{( {2}^{2} )}} } \\ \\ = { \tt{ {(4bc {}^{6} )}^{2} - \frac{1}{4} }}[/tex]
» Factorize:
[tex] = { \tt{4}^{2} \{ ( {bc}^{6} ) {}^{2} - \frac{1}{4} \}} \\ \\ { \boxed{ \tt{ = 16 \{ { \blue{{(bc}^{6}) {}^{2} - \frac{1}{4} } \}}}}}[/tex]
Evaluate the expression
cos(30°)=
Answer:
[tex]cos (30) =\sqrt{\frac{3}{2} } =0.8660[/tex]
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2
Step-by-step explanation:
cos 30° is √3 /2
Also refer to the image attached
MARK ME AS BRAINLIST
Assume that the variable U represents a positive real number
Answer:
Step-by-step explanation:
please helpppppppppppp
Answer:
[tex] \frac{x - 3}{x} [/tex]
Step-by-step explanation:
[tex]f(x) = \frac{1}{x} \: \: g(x) = x - 3 \\ \\ \implies \: (f•g)(x) = \frac{1}{x} (x - 3) \\ \\ = \frac{x - 3}{x} [/tex]
Solve the equation -3(7 + 5g)
Hey there!
-3(7 + 5g)
DISTRIBUTE -3 WITHIN the PARENTHESES
= -3(7) - 3(5g)
= -21 - 15g
= -15g - 21
Good luck on your assignment and enjoy day!
~Amphitrite1040:)
Please answer this question thank you
Answer:
74
Step-by-step explanation:
What I'm getting at, is that you need to add all the hour sold cups up, and then double it because she expects to sell twice as much. 15 + 11 +5 +6 = 37, and 37 doubled is 74
Answer:
74 cups
Step-by-step explanation:
Total for today: 37
6 + 5 + 11 + 15 = 37
Tomorrow is twice of today
2(37) = 74
I hope this helps!
e by 9%
what is the answer in
a. 0.1e
b.0.09e
c.0.9e
d.0.91e
Answer:
b) 0.09e
Step-by-step explanation:
9% is 9/100= 0.09 (e) =0.09e
In planning her retirement, Liza deposits some money at 3.5% interest, with twice as much deposited at 4.5%. Find the amount deposited at each rate if the total annual interest income is $2250.
a = amount deposited at 3.5%
b = amount deposited at 4.5%
we know that "b" is twice as much as "a", thus b = 2a.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.5\% of a}}{\left( \cfrac{3.5}{100} \right)a}\implies 0.035a \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4.5\% of 2a}}{\left( \cfrac{4.5}{100} \right)2a}\implies 0.045(2a)[/tex]
we also know that whatever "a" amount is, their sum is 2250, thus
[tex]0.035a+0.045(2a) = 2250\implies 0.035a+0.09a=2250\implies 0.125a=2250 \\\\\\ a=\cfrac{2250}{0.125}\implies \boxed{a=18000}~\hspace{10em}\boxed{\stackrel{2a}{b=36000}}[/tex]
in
What is the area of this triangle?
inz
h = 5 in.
b = 10 in.
What is the surface area?
4 in
4 in
4 in
square inches
1. Jacobson Animal Shelter has half as many cats as dogs.
The shelter has 30 dogs. How many total animals does the
shelter have?
Answer:
45
Step-by-step explanation:
30/2=15 +30=45
Answer:
The Jacobson Animal Shelter has 45 total animals.
Step-by-step explanation:
dogs = 30
cats = 30/2
cats = 15
dogs + cats = total
30 + 15 = total
45 = total
What's the answer for 6m^2+18m+17=-3m^2+9
Answer:
m=−2/3 or m=−4/3
Step-by-step explanation:
Step 1: Subtract -3m^2+9 from both sides.
6m^2+18m+17−(−3m^2+9)=−3m^2+9−(−3m^2+9)
9m^2+18m+8=0
Step 2: Factor left side of the equation.
(3m+2)(3m+4)=0
Step 3: Set factors equal to 0.
3m+2=0 or 3m+4=0
m=−2/3 or m=−4/3
A ball is thrown from an initial height of 3 meters with an initial upward velocity of 30 m/s. The ball's height h (in meters) after seconds is given by the
following
h = 3+302-57
Find all values of tfor which the ball's height is 13 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 seconds
х
5
?
Initial
height
ground
[tex]h=3+30t-5t^2\implies 13=3+30t-5t^2\implies 0=-10+30t-5t^2 \\\\\\ 5t^2-30t+10=0\implies 5(t^2-6t+2)=0\implies t^2-6t+2=0[/tex]
now, it doesn't give us nice looking integers, so let's plug that into the quadratic formula.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}t^2\stackrel{\stackrel{b}{\downarrow }}{-6}t\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~\hspace{10em} t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ t= \cfrac{ - (-6) \pm \sqrt { (-6)^2 -4(1)(2)}}{2(1)}\implies t=\cfrac{6\pm\sqrt{36-8}}{2}[/tex]
[tex]t=\cfrac{6\pm\sqrt{28}}{2}\implies t=\cfrac{6\pm\sqrt{2^2\cdot 7}}{2}\implies t=\cfrac{6\pm 2\sqrt{7}}{2}\implies t=\cfrac{2(3\pm 1\sqrt{7})}{2} \\\\\\ t=3\pm \sqrt{7}\implies t= \begin{cases} 3+\sqrt{7}\\ 3-\sqrt{7} \end{cases}\implies t\approx \begin{cases} 5.65\\ 0.35 \end{cases}[/tex]
PLEASE HELP How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is (choose) 4,5,8,10 units. The width of the rectangle is (choose) 4,5,8,10 units. The area of the rectangle is (choose) 10,16,20,25 square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is (choose)
10,16,20,25
square units.
Just add a similar triangle from the opposite side
Then what happens
Hypotenuse of this triangle becomes common and diagonal of the rectangle.Now
Length=L=5Breadth=B=4Area
[tex]\\ \tt\hookrightarrow LB=5(4)=20[/tex]
Area of triangle=20/2=10units^2Answer:
Length = 5
Width = 4
Area = 20
Triangle area = 10
Step-by-step explanation:
The length of the rectangle = the longest leg = 5 units
The width of the rectangle = the shortest leg = 4 units
The area of the rectangle = width x length = 4 x 5 = 20 units²
The area of the triangle = 1/2 the area of the rectangle = 20 ÷ 2 = 10 units²
The predicted high temperature for the day in Bismarck, North Dakota is 30° and the low is 7° below zero. What is the diffrence in the temperatures for the day?
Answer:
The diffrence is 37 degrees
Step-by-step explanation:
30-(-7)=37
WILL GIVE BRAINLIEST
There are 2,367 teachers in a certain school district. 600 were polled asking if they felt computers in the classroom were beneficial to. 85% of the teachers polled felt that computers in the classroom were beneficial to students. What is the confidence interval for the population mean of teachers in this district that feel computers in the classroom are beneficial to students, using a 99% confidence level?
(81.25%, 88.75%)
(81.98%, 88.21%)
(82.14%, 87.86%)
(82.60%, 87.40%)
Answer:
B
Step-by-step explanation:
do you watch anime
Option A
(81.25%,88.75%)
What is confidence interval?A confidence interval is how much instability there's with any specific statistic. Confidence intervals are frequently utilized with a margin of error. It tells you how confident you'll be able be that the results from a poll or survey reflect what you'd expect to find in the event that it were possible to survey the whole population. Confidence intervals are inherently associated to confidence levels.
Here the sample size, n=600
85% of the teachers polled felt that computers in the classroom were beneficial to students.
so the proportion=85%=0.85
Confidence level=99%
so. the level of significance, α=1-0.99=0.01
So, z critical value at 99% confidence level,
[tex]Z_{\frac{\alpha }{2} } =2.576[/tex]
So the formula to find confidence interval is,
[tex]proportion-Z_\frac{\alpha }{2} *\sqrt{\frac{prop.(1-prop)}{n} } < p < proportion+Z_\frac{\alpha }{2} *\sqrt{\frac{prop.(1-prop)}{n} }[/tex]
[tex]0.85-2.576*\sqrt{\frac{0.85*(1-0.85)}{600} } < p < 0.85+2.576*\sqrt{\frac{0.85*(1-0.85)}{600} }[/tex]
=(0.8125,0.8875)
=(81.25%,88.75%)
To learn more about the confidence interval please follow: https://brainly.ph/question/21549681
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Urgent, please reply as soon as possible! 30 points on brainly!
The above graph shows the acceleration of an object. use the information from the graph to answer the following question. During which section of the graph is there no acceleration? Explain why or why not.
Answer:
during section b
Step-by-step explanation:
the line is flat
Answer:
Yes beavause the graph goes up and then straight down
Step-by-step explanation:
can you answer my question?
7.209 x 10 -4 in standard form
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathsf{7.209\times10^{-4}}\\\\\mathsf{\approx 7.209\times\dfrac{1}{10\times10\times10\times10}}\\\\\mathsf{\approx 0.000721}\\\\\mathsf{\approx 7.21\times10^{-4}}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{7.21\times10^{-4}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
This is a grade 5 question pls help!!
Answer:
1. [tex]\frac{1}{4}[/tex]
2.[tex]\frac{3}{8}[/tex]
3.[tex]\frac{5}{8}[/tex]
4.[tex]\frac{3}{4}[/tex]
5.[tex]\frac{3}{8}[/tex]
6. [tex]\frac{0}{8}[/tex] or 0
7. [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Count the amount of each number and put it over 8.
Simplify if possible.
A sofa is being sold for $378 this is a 28% discount what is the original price
$378 is 72% of the original price.
72% = $378
1% = $378/72
1% = $5.25
100% = $5.25(100)
100% = $525
The original price of the sofa is $525
Hope this helps!
use the distributive property to fill in the blanks below
4 × (8 + 3) = ( × 8) + × 8) + (x3)
Answer:
This statement shows the Commutative Property of Multiplication. It basically says that now matter order in which you multiply, you still have the same answer because, for example, 4*5=5*4. You can multiply 4 by 5 but you could also multiply 5 by 4 because multiplication is commutative. :)
Step-by-step explanation:
Hi help me please if you can
Answer:
277/8 =34.625
Step-by-step explanation:
3: A car travels 120 miles in 3 hours at a steady speed. (a) How far does the car travel in 1 hour? (b) How far does the car travel in 8 hours? How far does the car travel in 1 hour ?
pls give me explanation and working out
thnx :)
Answer:
The car travels 40 miles per hour. In 8hrs, the car will have droven 320 miles. In one hour the car will have have driven 40 miles. Step-by-step explanation:
Excuse me, but I believe this is a unit rate, so the first thing I did was was divide 120 by 3 to get the answer 40 for A. Then, since I knew that the car goes 40 miles per hour, I multiplied that by 8 to get 320 for B.
Which algebraic expression is equivalent to the expression below?9x+12y
Answer:
69f
Step-by-step explanation: