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Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% what is the concentration in the new mixture (round to one decimal place)
Answer:
[tex]23.1\%[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be 11.1 grams of sugar and 48 total grams of content.
The concentration of sugar in the new mixture is [tex]\frac{11.1}{48}=\fbox{$23.1\%$}[/tex](rounded to one decimal place).
The concentration in the new mixture is 23.1%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
Stefanie's 18-gram combination has 20% sugar. As a result, her syrup contains grams of sugar.
John's 30-gram combination contains 25% sugar. As a result, her syrup contains grams of sugar.
As a result, if they combine their syrups, there will be 11.1 grams of sugar and 48 total grams of the substance.
The new combination has a sugar percentage of 11.1/48 = 23.1%. (rounded to one decimal place).
Learn more about the percentages here:
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Answer:
Top right
Step-by-step explanation:
Answer:
The bottom right triangle is both acute and scalene.
Explanation:
A scalene triangle is a triangle in which all 3 sides have different lengths. An acute triangle has 3 different angles under 90º. This triangle has 3 different lengths (8.3ft, 9ft, and 10 ft) and angles less than 90º (51º, 58º, and 71º); therefore, it's both acute and scalene.
A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
13
оооо
31
О 34
Answer:
Since f(n + 1) = f(n) - 3, we can also say that f(n - 1) = f(n) + 3.
By which we can say f(n - 3) = f(n) + 9
Since f(4) is 22, then f(1) must be 22 + 9, or 31.
Prove: The square of a number that is
one more than a multiple of 3 is also one
more than a multiple of 3.
n +
(3n + 1)2 = [ ? ]n? +
1([ ]n2 +
=
)n) +
- 1 more than a multiple of 3
Let 3n + 1 denote the "number" in question. The claim is that
(3n + 1)² = 3m + 1
for some integer m.
Now,
(3n + 1)² = (3n)² + 2 (3n) + 1²
… = 9n² + 6n + 1
… = 3n (3n + 2) + 1
… = 3m + 1
where we take m = n (3n + 2).
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost?
Answer:
Shirt: $7.5
Sweater: $17.5
Step-by-step explanation:
25/2=12.5
Shirt is 5 less than Sweater
12.5-5=7.5
Add 5 to sweater cost
12.5+5=17.5
Shirt=7.5 Sweater=17.5
17.5+7.5=25
x times x times x times y times y
Answer:
3x × 2y
Step-by-step explanation:
x*x*x= 3x
y*y= 2y
3x*2y
Kylie buys cranberries and raspberries in the ratio of 8:9 to prepare mock tails. If she buys 64 ounces of cranberries what is the total weight of berries purchased
Answer: 136 ounces
Step-by-step explanation:
Given: The ratio of cranberries and raspberries is 8:9 .
Let quantity of cranberries= 8x , quantity of raspberries = 9x
If quantity of cranberries = 64 ounces
[tex]\Rightarrow\ 8x=64\\\\\Rightarrow\ x=\dfrac{64}{8}\\\\\Rightarrow\ x=8[/tex]
Quantity of raspberries = 9(8) = 72 ounces
Total quantity = 64 ounces + 72 ounces = 136 ounces
Hence, the total weight of berries purchased= 136 ounces
Please help.......................
Answer:
1
Step-by-step explanation:
Don't worry I just know
Is the relationship between the 6s in 6,642 and 6,683 different in any way? Explain why or why not.
Answer:
In both numbers, we have the 6s in the thousandths digit and in the hundreths digit, so the relationship is not different in any way.
Step-by-step explanation:
Suppose we have a number of 4 digits, in the following format:
a,bcd
We have that:
a is the thousandths digit
b is the hundreths digit
c is the tenths digit
d is the unit digit
In this question:
In both numbers, we have the 6s in the thousandths digit and in the hundreths digit, so the relationship is not different in any way.
express 7π/6 in degrees
Answer:
210°
Step-by-step explanation:
To change from radians to degrees, multiply 7π/6 by 180/π
That will give 210°
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The Chandlers are moving across the country. Mr. Chandler leaves 4 hours before Mrs. Chandler. If he averages 70mph and she averages 80mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?
Answer:
It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.
Step-by-step explanation:
Given that:
Speed of Mr. Chandler = 70 mph
Distance covered in 4 hours = 70 * 4 = 280 miles
Let,
h be the number of hours.
y be the total distance covered.
y = 70h + 280
Speed of Mrs. Chandler = 80 mph
y = 80h
For catching up, the distance would be same.
80h = 70h + 280
80h - 70h = 280
10h = 280
Dividing both sides by 10
[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]
Hence,
It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.
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Answer:
I think you multiply its height by its width for the area, the volume= LXWXH.
Step-by-step explanation:
Step-by-step explanation:
First , Split the given shape into two parts : Trapezium and rectangle :
Here , 18 m and 11 m are the opposite parallel side and (15-8) = 7m is the height of the trapezium.
[tex] \boxed{ \sf{Area \: of \: trapezium = \frac{1}{2} h(a + b)}}[/tex]
⤑ [tex] \tt{ \frac{1}{2} \times 7(18 + 11})[/tex]
⤑ [tex] \sf{ \frac{1}{2} \times 7 \times 29}[/tex]
⤑ [tex] \sf{101.5 \: {m}}^{2} [/tex]
Area of trapezium = 101.5 m²
In rectangle , 18 m is the length and 8 m is the width.
[tex] \boxed{ \sf{Area \: of \: a \: rectangle = l \times w}}[/tex]
⤑ [tex] \sf{18 \: m \: \times 8 \: m}[/tex]
⤑ [tex] \sf{144 \: {m}}^{2} [/tex]
Area of a rectangle = 144 m
Now , Finding total area of given shape :
[tex] \boxed{ \sf{Total \: area = Area \: of \: trapezium + area \: of \: a \: rectangle}}[/tex]
⤑ [tex] \sf{101.5 \: {m}^{2} + 144 \: {m}}^{2} [/tex]
⤑ [tex] \sf{245.5 {m}}^{2} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{⇾ \: Our \: final \: answer : \boxed{ \underline{ \tt{245.5 \: {m}^{2} }}}}}}}[/tex]
Hope I helped ! ツ
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A bell pepper has 3 grams of sugar per serving.
An apple has 18 grams of sugar per serving.
Which statement is true?
For an equal number of servings, the apples will have six times as much sugar.
There will always be more sugar in 10 servings of bell peppers than a smaller number of servings of apples.
For an equal number of servings, the apples will always have 15 more grams of sugar.
The amount of sugar in two servings of bell peppers is 36 grams.
Answer:
For an equal number of servings, the apples will have six times as much sugar.
Step-by-step explanation:
process of elimination. All the other answer choices are incorrect and this one checks out.
A certain lottery has 31 numbers. In how many different ways can 4 of the numbers be selected?
help meeeeeeeeeeeeeee pleaseeee
The second option (5n)
["Product" is for multiplication]
Here's a graph of a linear function. Write the equation that describes that function.
I need help plz solve this 54 = 6B
Answer:
b=9
Step-by-step explanation:
54=6b
b=9
(divide by 6 to get b alone)
Units of time belong in the numerator or denomintor
Answer:
denominator i think.
Step-by-step explanation:
Find the area of the parallelogram in square units.
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Answer:
4. C: 98 degrees because the angles are consecutive angles
5. E: None of the above
Explanation: 102 degrees because the angles are corresponding angles
6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.
Step-by-step explanation:
Answer:
4. C, 5. E, 6. C
Step-by-step explanation:
4.
Angles x and 82 degrees are supplementary (add up to 180).
x = 180 - 82 = 98
These angles are consecutive interior angles (they're on the inside).
5.
Angles x and 102 degrees are the exact same.
These angles are corresponding angles. So it's none of these, not vertical or alternate interior.
6.
103 degrees is vertical to <b and <b is corresponding to <x.
Hope this helps!
Given the sequence \\(\\frac{1}{4},\\frac{1}{8},\\frac{1}{16}\\)\nthen r is _____
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
For geometric sequences, we find r by dividing one of the terms by the last. So we could do [tex]\frac{1}{\frac{16}{\frac{1}{8}}}[/tex]or [tex]\frac{1}{\frac{8}{\frac{1}{4}}}[/tex] and it'll give us the same result (1/2)
How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please
Answer:
There are 8 - 1/8's in 1 (as, 8×1/8=1); and
There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).
Help me please! 20 POINTS Im using all of mine please help!
Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, how many animals were chickens and how many were pigs?
(System of Equations word problem)
There are 18 or 20 pigs if two had 1 missing leg
Step by Step explanationMultiply the chickens by 2 or adding it by the same number since chickens have 2 legs
87
+87
-------
174
After, minus 174 from 248
That is 74
Divide by 4
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System Of Equations:
Solve by substitution:
y = 2x + 3
4x + y = -3
Group of answer choices
(-1 , -1)
(-1 , 1)
(1 , 1)
(5 , 7)
Answer:
(-1,1)
Step-by-step explanation:
4x+2x+3=-3
6x+3=-3
6x=-6
x=-1
y=2(-1)+3
y=-2+3
y=1
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Answer:
○ [tex]\displaystyle Perpendicular[/tex]
Step-by-step explanation:
Convert each equation to Slope-Intercept Form:
[tex]\displaystyle 3y - 6x - 7 = 0 → 3y - 6x = 7 → 3y = 6x + 7 → y = 2x + 2\frac{1}{3} \\ \\ 2y + x = 3 → 2y = -x + 3 → y = -\frac{1}{2}x + 1\frac{1}{2}[/tex]
Take a look at [tex]\displaystyle 2[/tex] and [tex]\displaystyle -\frac{1}{2}.[/tex] Their rate of changes [slopes] have a '2' in common, they are not similar. This tells you that these linear equations are not parallel, but perpendicular, because perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES].
Did you catch it at all?! ;)
I am joyous to assist you at any time.
5y - 4x = -7
2y + 4x = 14
Solve the system of equation
Answer:
( 4 , 1 )
Step-by-step explanation:
when canceling out the y values and then adding the two functions together you get
7y = 7
dividing by seven you get y = 1
when plugging y = 1 into the first quation you get
5 - 4x = -7
subtract 5 from both sides
-4x = -12
divide both sides by negetive four
x = 3
then with plugging in y = 1 for the second equation you get
2 + 4x = 14
subtract 2 from both sides
4x = 12
divide both sides by 4
x = 3
you then check your answers and get the point of (4, 1) for your answer.
How do i find the slope-
20 points answer!
[imagine below included!]
Answer:
3/3 = 1
Step-by-step explanation:
The slope formula is..
Pick two formulas. Let's do (-5, -2) and (-2, 1)
x1 y1 x2 y2
(-5, -2) (-2, 1)
[tex]\frac{1-(-2)}{-2-(-5)}[/tex] = [tex]\frac{3}{3}[/tex] = 1
It'll work the same thing for (-2, 1) and (1,4)...
3/3 or 1 is a pattern between the points.
Solve for s.
9 − 2s − 10s = –10s − 7
Show work
Answer:
s=8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
i need help quick !!
A song lasts 9 minutes. The circle graph below shows the percentage of the time the song plays at different tempos.
Answer:
2 minutes 42 minutes
Step-by-step explanation: