Answer:
546 mL of water
Step-by-step explanation:
To make lemonade Jenny combines water and lemon juice in the ratio of 6:1, by volume.
Let the amount of water is 6x and that of lemon juice is x.
ATQ,
6x+x = 637
7x = 637
x = 91
Amount of lemon juice = 91 mL
Amount of water = 6x = 6(91) = 546 mL
So, 546 mL of water she should add to make 637 mL of lemonade.
As an estimation we are told 5 miles is 8 km.
Convert 60 km to miles.
Answer:
37.5 miles
Step-by-step explanation:
We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.
[tex]60/1.6=37.5[/tex]
Hope this helped!
Answer:
96 km
Step-by-step explanation:
I try it its 96 km
Trust me
48 = -6a, a =
pls help hfjdjf
Answer:
a=-8
Step-by-step explanation:
Which of the following is equivalent to logb sqrt 57/74
Answer:
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Step-by-step explanation:
Given the expression
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]
Rewrite as
[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]
[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex] ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]
Therefore,
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
A formal proof uses all of the following components except what?
A.) theorems
B.) a set of examples
C.) geometry rules
D.) algebra rules
Answer:
The answer is B.
what is the range of the function f(x)=-8x+13 when the domain is (-2,0,3)?
Answer:
The complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
Step-by-step explanation:
Considering the function
[tex]f(x)=-8x+13[/tex]
As we know that the range of a function consists of the entire set of all possible resulting values of the dependent variable commanly called y or f(x), once we have substituted the domain.
Now
As the x values are -2, 0, and 3. So, the domain interval is (-2,0,3).Putting x = -2 in f(x) to determine the range for the value x = -2
[tex]f(x)=-8x+13[/tex]
[tex]f(-2)=-8(-2)+13=16+13=39[/tex]
Putting x = 0 in f(x) determine the range for the value x = 0
[tex]f(x)=-8x+13[/tex]
[tex]f(0)=-8(0)+13=0+13=13[/tex]
Putting x = 0 in f(x) determine the range for the value x = 3
[tex]f(x)=-8x+13[/tex]
[tex]f(3)=-8(3)+13=-24+13=11[/tex]
Therefore, the complete set of domain (x) and range values (y) is given by:
x y
-2 39
0 13
3 11
A player throws a football across the field. The equation h (x) = -16t^2 + 44t + 3.5 models the height, h, in feet, of the football as a function of time. t, in seconds. Ivan claims the football was thrown from an initial height of 3.5 feet with an initial velocity of 16 feet per second. Complete the statement to explain why ivan is incorrect
Answer:
A quadratic equation for the height of an object is written as:
h(t) = a*t^2 + b*t + c
We can derivate it with respect to the time to get the velocity:
v(t) = 2*a*t + b
We can derivate it with respect to the time to get the acceleration:
a(t) = 2*a
Then:
a = half of the acceleration. (the gravitational acceleration for problems like this)
b = initial vertical velocity.
c = initial height.
In our case we have:
h(t) = -16t^2 + 44t + 3.5
-16 is half of the acceleration, we know that the gravitational acceleration is:
g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.
44 is the initial vertical velocity of the ball (44ft/s)
3.5 is the initial height. (3.5ft)
Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity
What is the missing angle?
Answer:
the answer is 95
Step-by-step explanation:
[tex]180 - 50 - 35 = 95[/tex]
Answer:
105 degrees
Step-by-step explanation:
A traingle has a total of 180 degrees. The graph already tells us 2 angles, 25 and 50 degrees. So: 25+50=75
180-75=105
At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?
Answer:
15
Step-by-step explanation:
3 counselors for every 20 girls
Answer:
15 counselors
Step-by-step explanation:
The ratio of counselors to girls is 6:40. Set this as a proportion:
[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]
Cross multiply to solve: 6×100=40x
600=40x
x=15
To satisfy the ratio, there needs to be 15 counselors for 100 girls.
please help! i only got 9 minutes left!!
Answer:
D) -5/2
Step-by-step explanation:
(0, 5) (8, -15)
-15 - 5 = -20
8 - 0 = 8
-20/8 = -5/2
Ok I need to know if I did this right so: 8^0 = 1 right (exponents) please help
Answer:
Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.
Step-by-step explanation:
Hope this helps!
Answer:
Yes you are correct. It would be one.
Step-by-step explanation:
Can someone help pls
PLEASE HELP! Ann needs to buy plastic forks. Brand A has a box of 25 forks for $2.12. Brand B has a box of 72 forks for $5.09 .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent. And thank you if you answer this I really need the answer.
Answer:
To find the price per spoon of brand A, divide the cost by the amount of spoons:
1.99 / 25 = 0.0796
Repeat this process for brand B:
3.89 / 42 = 0.0926
Brand A, at $0.08 a unit, is the better buy of brands A and B.
the slope of the line that goes through the points (2,4) and (7,8)
Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.
Answer:
y = 9x
Step-by-step explanation:
You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.
9 would be the slope, since he has to pay $9 per gift.
The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.
So, it's just y = 9x
Hope that helps! :D
Answer:
easy
Step-by-step explanation:
what does x = ? need help with the pythagorean theorem
Answer:
The answer is 9
Step-by-step explanation:
set up the equation as 12^2 + b^2 = 15^2
solve the exponents and you get 144 + b^2 = 225
Then subtract 144 from both sides and get 81
After that just do the square root of 81 and you get 9
pls mark brainliest
what is 2 1/9 x 1 1/2
Answer:
3.16
Step-by-step explanation:
Hope this helps!
what is the value of the expression below when z=4
10z=3
Answer:
37
Step-by-step explanation:
10z=3 and z=4
substitute
10(4)-3
simplify
40-3
answer
37
Mrs. Daniels recorded the weights of nine boxes of strawberries in her booth at a farmer's market. The weights of the boxes
shown.
2
What is the average weight, in pounds, of the boxes of strawberries?
OB.
OA 13 pounds
1 pounds
OC. 2 pounds
OD. 2, pounds
Reset
Next
Answer:
The answer is C. 2 pounds
Step-by-step explanation:
Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.
This is for the ones on Plato
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Answer:
Which statements can be used to justify the fact that two right angles are supplementary? Select two options.
* A right angle measures 90°.
If two angles are complementary, the sum of the angles is 90°.
* If two angles are supplementary, the sum of the angles is 180°.
A complementary angle is one-half the measure of a supplementary angle.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
(A) and (C)
A right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
AnglesAn angle is formed when two lines intersect each other. Two angles are said to be supplementary if their measures add up to 180 degrees while Two angles are called complementary if their measures add up to 90 degrees.
To justify the fact that two right angles are supplementary. Firstly a right angle measures 90°, hence the sum of two right angles is 180° (supplementary)
Find out more on Angles at: https://brainly.com/question/25770607
A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?
Answer:
(a) Index finger
(b) Ring finger
(c) Index finger
Step-by-step explanation:
Taking thumb as standard for the question.
Thumb series 1 , 9 , 17 ,25, 33......
general term for this
a(n) = 1 + (n-1)8
= 1 + 8n -8
= 8n -7
(a) For 1 to 10
8n -7 = 10
8n = 16+1 (remainder)
so the thumb is for 9 and the next is index finger.
10th = index finger.
(b) for 1 to 100
8n - 7 = 100
8n= 107
107 = 13x 8 + 3(remainder)
so the third finger from thumb is Ring finger
100th = Ring finger
(c) 8n - 7 = 1000
8n = 1007
1007= 125x8 +7 (remainder)
so the 7th finger next to thumb is Index finger
1000th = index finger
Phoebe, Andy and Polly share £270
Phoebe gets three times as much as Andy who gets twice as much as Polly.
How much do they each get?
Answer:
Andy gets 60
Polly gets 30
Phoebe gets 180
6.3232 or 6.3202 is grater?
Answer:
6.3232 is greater
Step-by-step explanation:
A bread recipe calls for 2 cups of wheat flour and 3 1/4 cups of white flour. How much flour does the recipe call for altogether?
Answer:
Step-by-step explanation:
2+3.25=5.25 or 5 1/4 cups of flour total
gordon types 1800 words in 25 minutes. word per minute
Answer:
72
Step-by-step explanation:
words per minutes= 1800÷25=72
Your payment is $350 per month for 48 months and you made a 3,000 down payment?
Answer:
Your total cost would be $19800
Step-by-step explanation:
350*48
=16800
+3000
=19800
Solve for x.
x/3+y=2x+19
Answer:
The answer is [attached photo].
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
(3+y)-19=x
Step-by-step explanation:
x/3+y=2x+19
=3+y=2x-x+19
(3+y)-19=x
pls help quickly thank you
Answer: $637
Step-by-step explanation:
i need the answer for this question
Answer:
x=5
y=7
(5,7)
Step-by-step explanation:
solved by substitution.
A piece of candy corn is in the
shape of a cone.
The height of
the candy corn is 4 centimeters
and the diameter is 2
centimeters.
Find the volume.
solve each system using elimination
8x+lly = 20 5x - 11y = -59
Answer:
8x+lly=205x-11y=-59u200b
Step-by-step explanation:
i calculated it