A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 7% vinegar. The chef wants to make 310 milliliters of a mixture that contains 19% vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:
Then the total amount of pure antifreeze in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation: We substitute the value of B into one of the two equations and solve for A.
716x7 multiply with expanded form
Answer:
The expanded form is y=716x7
Step-by-step explanation:
Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
What is the determinant of the coefficient matrix of the system 9x+ Oy + 5z -
6x+ Oy- 12z - 3
-3x+Oy- 2z = 6 ?
0
3
6
7
Answer:
A)0
just did test on edge
Step-by-step explanation:
buys 5 apples for 2.60 dollars how much does one apple cost
Answer:
One apple cost $0.52.
Step-by-step explanation:
$2.60/5 = $0.52
$0.52 * 5 = $2.60
In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.
Which equation can be used to find the nth term of the sequence, an?
an = 10 * 2n-1
an = 2n-1
an = 1/5 * 10n-1
an = 2 * 18n-1
Answer:
the first one
the first one Step-by-step explanation:
the first one Step-by-step explanation:from the formula Un =ar^n-1
where a is 2
where a is 2 r = 20/2=10
where a is 2 r = 20/2=10 so Un= 10×2^n-1
that's all.....have fun
Answer:
C.) an =1/5 * 10n-1
Step-by-step explanation:
D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.
Leaveing your answer...
please solve this
I will mark brainleistttttttttt
Answer:
-285
Explanation:
I did it on my calculator
Could you guys help me?
Answer:
its 1881
Step-by-step explanation:
banakz akaknsz a a
The 4 in 153,458 has _______________ the value of the 4 in 192,946.
Answer:
The 4 in 153,458 has ten times more the value than the 4 in 192,946.
Step-by-step explanation:
400 and 40
400 ÷ 40 = 10
Find the surface area of the solid figure.
Answer:
SA=528 cm²
Step-by-step explanation:
[tex]SA=2(\frac{1}{2} )(16)(6)\\\\+2(10)(12)\\\\+16(12)\\\\SA=528 cm^{2}[/tex]
hope it helps
have a great day!!
40% of the class of 30 students are boys.
How many are girls?
Answer:
60% are girls
60% of 40=6*40=24
Step-by-step explanation: Hope this help :D
pls help! i’m giving brainliest :)
Shonda is making cookies with her family. They mix 2 cups of flour with a half cup of sugar. How many cups of sugar will they need if they used 8 cups of flour?
HELP ME PLEASE!!!this is due in 10 minutes
The lengths of the sides of a triangle are x,2x and 2x centimetres.If the perimeter is 20 centimeters,what is the value of x?
a)4
b)5
c)8
d)10
Answer:
a) x = 4 cm
Step-by-step explanation:
x + 2x + 2x = 20 cm
5x = 20
x = 4 cm
I believe that it is (B).
What is the total surface area of the rectangular pyramid below?
Answer:
c. SA = 596 ft²
Step-by-step explanation:
Area of the rectangular pyramid = Base area + area of the 2 equal lateral faces + area of the 2 lateral faces
Base area = length × width
Length = 16 ft
Width = 12 ft
Base area = 16 × 12 = 192 ft²
Area of the 2 lateral faces with the following dimension:
base = 12 ft
height = 15 ft
Area = 2(½bh) = 2(½*12*15) = 180 ft²
Area of the 2 lateral faces with the following dimensions:
base = 16 ft
height = 14 ft
Area = 2(½*14*16) = 224 ft²
✅Total surface area = 192 + 180 + 224 = 596 ft²
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
An expression is shown.
12. 12. 12. 12 +7(3-3-3-3+3)
Which of the following shows this expression written using exponents?
А 4^12 + 7 (53)
B 4^12 + 7 (43+3)
C 12^4+7 (3^5)
D 12^4 +7 (3^4+3)
Answer:
im pretty sure its D :) hope this helps you out.
Please helpppppppppppppppppppp
Answer:
[tex]8( 4 \sqrt{7} - \sqrt{18} ) = 8(4 \sqrt{7} - 3 \sqrt{2}) = 32 \sqrt{7} - 24 \sqrt{2} [/tex]
Answer:
the answer is
[tex]32 \sqrt{7} - 24 \sqrt{2} [/tex]
The formula v= u + at can be used to calculate
Rearrange the formula to make u the subject.
Answer:
u = v - at
Step-by-step explanation:
v = u + at
v - at = u + at - at
v - at = u
u = v - at
1. A cardboard box is 5 feet long, 1.5 feet
wide, and 2 feet high. Which of the
following answers is closest to the
volume of the box in cubic feet?
A. 8.5 ft.3
B. 15 ft.3
C. 18 ft.3
D. 24 ft.3
Answer:
The correct answer is B.
Step-by-step explanation:
V=whl=1.5·2·5=15
Answer:
B. 15 ft.3
Step-by-step explanation:
multiply all the measurements to find the volume :)
Find the value of x in the triangle shown below 9 3
Answer:
x = 9.4868
Step-by-step explanation:
For this problem we can use the Pythagorean Theorem
Pythagorean theorem = [tex]a^2+b^2=c^2[/tex]
IN THIS CASE C = X
A and B are the side and base lengths of a right triangle.
C is the Hypotenuse side.
[tex]9^2+3^2=c^2[/tex]
Solve...
81 + 9 = [tex]c^2[/tex]
90 =[tex]c^2[/tex]
[tex]\sqrt{90}[/tex] = c
c = 9.4868
Given sin r = 0.5, what is cos r?
enter your answer as a decimal, rounded to the nearest hundredth.
Answer:
0.877 but rounded it will be 0.88
The age of a mother is three times the age of her son. If the difference between their
ages 20 years find their present ages.
Answer:
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
Step-by-step explanation:
Given
[tex]M = Mother[/tex]
[tex]S = Son[/tex]
From the first statement:
[tex]M = 3S[/tex]
From the second:
[tex]M - S = 20[/tex]
Required
Find M and S
We have:
[tex]M = 3S[/tex] and
[tex]M - S = 20[/tex]
Substitute [tex]M = 3S[/tex] in [tex]M - S = 20[/tex]
[tex]3S -S =20[/tex]
[tex]2S = 20[/tex]
Divide both sides by 2
[tex]S = 10[/tex]
Substitute [tex]S = 10[/tex] in [tex]M = 3S[/tex]
[tex]M = 3 * 10[/tex]
[tex]M = 3 0[/tex]
Hence;
[tex]Mother = 30\ years[/tex]
[tex]Son = 10\ years[/tex]
find the tax (7%) paid on $99 sneakers
Answer:
6.3
Step-by-step explanation:
99(.07)=6.3
original price was 92.7 + 6.3 gives you 99
What is the product of the expressions (3)(−2)(−5)(7)?
Answer:
210
Step-by-step explanation:
3*10*7
30*7
210
Remember when multiplying even number of negative terms, it cancels out the negative.
a computer repair company charges an hourly labor rate of $40 in addition to.the cost of oarts needed to.fic a computer. A sales tax rate of 5.5% is assessed on the cost of parts but not on the labor cost nancy had gee computer repaired by the company and the total bill came to $183.30!if it took 3. hours to.do the repair what was the cost of parts needed ti fix her comouter rounded to.the nearest whole.dollar write an equation and explain how yiu use it to find your answer
Answer:
Step-by-step explanation:
Parts + 3($40 labor)=183.30
parts + 120=183.30
parts=63.30 but it includes tax. To find costs of parts before tax you
63.30/1.055=60 so parts are $60
or to solve with one equation:
parts(1.055) + 3($40 labor) = 183.30
parts(1.055) + 120=183.30
parts(1.055)=63.30
Parts = 63.30/1.055
parts = 60
Determine the point estimate. An article in an educational journal discussing a non-conventional high school reading program reports a 95% confidence interval of (520 , 560) for the average score on the reading portion of the SAT. The study was based on a random sample of 20 students and it was assumed that SAT scores would be approximately normally distributed. Determine the sample mean that was used to build this confidence interval.
Answer:
Step-by-step explanation:
CI ( 95 % ) means α = 5 % α = 0,05 α /2 = 0,025
If we have a normal distribution and build a CI by symmetry such CI has as a middle point the mean in this case
CI 95 % = ( 520 ; 560 )
the mean is (520 + 560 ) / 2
mean = 540
Today 108 people visited a water park during the first hour that the park was open. This number of people is 40% of the number of people who visited the water park during the first hour yesterday. How many people visited the water park during the first hour yesterday?
Answer:
40
___ x 108 = 43.2
100
ZABC and ZORS are supplementary angles
If the measure of ZABC = 100", what is the
measure of ZORS?
mZORS = [?]
m<QRS = 80 degrees.
Supplementary angles = a total of 180 degrees. So if angle ABC = 100, angle QRS would = 80 degrees.
Please mark as brainliest :D
Answer:
Solution given:
<ABC+<QRS=180°[supplementary]
<QRS=180°-100°
<QRS=80° is your answer
What is the sum? Keep your answer in scientific notation.
3 x 10^6 and 3 x 10^6
Answer:
9 x 10^12
Step-by-step explanation:
for multiplying scientific notation, you multiply the numbers (3 x 3) and add the exponents together (6 + 6) to get 9 x 10^12
A book had length of 5 inches and a width of 8 inches what is the area of the book
Find the value of 1
and 1/10-1/5
9514 1404 393
Answer:
9/10
Step-by-step explanation:
(1 1/10) - 1/5 = (1 1/10) -2/10 = 1 + (1/10 -2/10) = 1 -1/10 = 9/10
__
1.1 -0.2 = 0.9 = 9/10