How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze
Answer:
67 gallons.
Step-by-step explanation:
To determine how many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze, the following calculation must be performed:
0.15 x 90 + 0.70 x 10 = 20.5 / 100 = 0.20
0.15 x 90 + 0.70 x 30 = 34.5 / 100 = 0.34
0.15 x 90 + 0.70 x 60 = 55.5 / 100 = 0.55
0.15 x 90 + 0.70 x 67 = 60.4 / 100 = 0.60
Thus, 67 gallons of 70% antifreeze solution will be needed to achieve a 60% mix of that solution.
Find the size of angle XYZ
Answer:
66.4°
Step-by-step explanation:
From the question given above, the following data were obtained:
Adjacent = 6 cm
Hypothenus = 15 cm
Angle Y =?
Angle Y can be obtained by using the cosine ratio as illustrated below:
Cos Y = Adjacent / Hypothenus
Cos Y = 6/15
Cos Y = 0.4
Take the inverse of Cos
Y = Cos¯¹ 0.4
Y = 66.4°
Therefore, angle XYZ is 66.4°
What is the exponential form of log5 15,625 = 6?
Answer:
I'm currently having the same lesson.
Exponential form:
5⁶ = 15,625
The number next to the "log" symbol is the base, which is positioned down. Next to the base of the exponent is the result of the exponent.
The number after the equal sign is the exponent.
Check the image for better clarification.
Step-by-step explanation:
Answer: [tex]5^{6} =15625[/tex]
Step-by-step explanation:
The two triangles above are similar. What is the value of x ?
A) 5
B) 7.5
C) 8
D) 13 1/5
Answer:
7.5
Step-by-step explanation:
[tex]\frac{6}{8} =\frac{x}{10}\\crossmultiply\\60=8x\\solvefor x\\ x=7.5[/tex]
Similar triangles are those triangles whose corresponding sides are in the same ratio. In the two similar triangles, the value of x is 7.5 units.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
Given that the two of the given triangles are similar triangles. Therefore, the ratio of the sides of the triangle can be written as,
6/x = 8/10
Solving the ratio for x,
x = (6×10)/8
x = 60/8
x = 7.5 units
Hence, in the two similar triangles, the value of x is 7.5 units.
Learn more about Similar Triangles here:
https://brainly.com/question/25882965
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how many 2/3 quarts portions are in 7 1/3 quarts of soup ?
Answer:
11 1/4
Step-by-step explanation:
ANSWER= 11 1/4 is your answer
Step-by-step explanation:
Solve the inequality for the missing variable
24 -1t
1/5
Answer:
−t+24
Step-by-step explanation:
help pls? If mF= 109*, mQ=122*, mR=44, find mJ
Answer:
∠J=85°
Step-by-step explanation:
Theory to know when answering this question:
1. The sum of the angles in a quadrilateral (shape with four sides) is 360°
2. Similar shapes have the same angles
Point 1 tells us that ∠P+∠Q+∠S+∠R=360
Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.
∴∠F+∠Q+∠J+∠R=360
109+122+∠J+44=360
∠J=360-275=85°
For each of the situations described below,give an example(if it’s possible) or explain why it’s not possible.
a. A set of vectors that does not span R^3. After adding one more vector, the setdoes spanR3.
b. A set of vectors that are linearly dependent. After adding one more vector, theset becomes linearly independent.
Step-by-step explanation:
a) If the given set of vectors does not span [tex]\mathbb{R}^{3}[/tex] , it means the number of linearly independent vectors are less than 3. So by adding one or more linearly independent vectors with respect to existing vectors, we can convert the set to basis and basis always spans vector space.
eg. [tex]S= \left \{ (1,0,0)^{T},(1,2,0)^{T} \right \}[/tex] this set does not span [tex]\mathbb{R}^{3}[/tex] . Since it has only two vectors and both vectors are linearly independent, so adding one linearly independent vector with respect to the vectors of S viz. (0,0,1)^{T} can span whole [tex]\mathbb{R}^{3} [/tex].
b) It is not possible. Since if a set of vectors is linearly dependent then after adding linearly independent vectors it will also linearly dependent i.e. addition of a linearly independent vector does not effect on the set.
If you invested $250 at 16% interest, how much would you have after 18 years?
Answer:
4,000
Step-by-step explanation:
Describe how to plot the point (-1, -2)
Where do you start? How many units do you go to the left or right? How many units it’s do you go up or down?
identify the independent variable for this function
Explanation:
Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.
The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.
2x + 3y =5
4x - y = 3
Translate the following
Half a number decrease by twelve
Hi!
So, to "half" a number, you multiply it by 1/2 or 0.5
"A number" is a number which we don't know the value of, so we could use a variable. Any letter you want is fine, but let's use x
"Decrease by 12" This simply means to subtract 12, so - 12
So, now we have:
1/2x - 12
Can you find the mass of the angles?
b=48
c=137
enjoy :) ....
On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snohomish River below. The swimmers stepped off the bridge, and I estimated that they hit the water 1.5 s later. (a) How high was the bridge
Answer: the bridge is 11.025 m high
Step-by-step explanation:
Given that;
Time taken to hit the water t = 1.5 sec
height of bridge = ?
lets take a look at the equation of motion;
y(t) = y₀ + (1/2)at²
with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s
we substitute
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(1.5) = 11.025 m
Therefore, the bridge is 11.025 m high
what is 12.8 rounded to the nearest hundred
Answer:
13 will the answer of this qn
Help plz I’m stuck on this
Please include step by step explanation bc I've been having trouble with this
there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?
Answer:
3/8
Step-by-step explanation:
Your need to change the 1/4 to eighths
so multiply it by 2
1/4 x 2/2
which equals 2/8
then you need to subtract it from the 5/8
5/8 - 2/8 = 3/8
HELP HELP HELP HELP IM BEGGING YOU PLEASE PLEASE!!!
Answer:
2n + 18.....
Step-by-step explanation:
yea
Solve the Equation.
y = 5 = 125
If Y = 5 and the X is = 1 then Y = 125 is X = 25
Write an algebraic expression for the phrase. 12 minus m
A. m/12 B. 12-m C. 12m D. m-12
Answer:
it's b
Step-by-step explanation:
literally twelve minus m
Answer:
B
Step-by-step explanation:
12 minus m is, 12 - m
Consider this solution to a problem.
Problem: -4(6-y)+4=-4
Step 1: -24-4y+4=-4
Step 2: -20-4y=-4
Step 3: -4y = 16
Step 4: y=-4
In the first response box, enter the number of the step where the mistake is made.
Step:
In the second response box, enter the correct solution to the problem.
Answer:
1. The mistake was the sign that was put negative instead of positive.
2. y = 4
Step-by-step explanation:
In the first response box, enter the number of the step where the mistake is made.
Step:
The mistake is on step 1: This is the distributive property, however it was distrubuted wrong since the signs were used wrong.
-4(6-y)+4=-4 does not equal -24-4y+4=-4
The reason is because -4 x -y is not equal to -4y because negative x negative = positive. So, it's equal to +4y.
In the second response box, enter the correct solution to the problem.
Problem: -4(6-y)+4=-4
Step 1: -24 + 4y + 4 = -4 (Distributive Property Of Equality)
Step 2: -20 + 4y = -4 (Combine Like Terms)
Step 3: 4y = 16 (Addition Property Of Equality)
Step 4: y = 4 (Division Property Of Equality)
Q1.
Write 1.74 x 10^-4 as an ordinary number?
Q2.
Write 358.41 x 10^5 in a standard form
Q3.
Write 4 670 000 in a standard form
Answer:
0.000174
3.5841 x 10^7
4.67 x 10^6
Step-by-step explanation:
1.74 x 10^-4 as an ordinary number
As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power
Hence 1.74 x 10^-4 as an ordinary number
= 0.000174
358.41 x 10^5 in a standard form
In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence
358.41 x 10^5 in a standard form
= 3.5841 x 10^5+2
= 3.5841 x 10^7
4 670 000 in a standard form
As done above, only one digit will be before the decimal
4 670 000 in a standard form
= 4.67 x 10^6
What is the slope of the line?
Answer:
the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.
Step-by-step explanation:
You didn't put a picture, so I didn't know if you meant what it means, or from a line?
- في الشكل المجاور برهن أن
m<E <m<CAD
B
D A
E
-
Answer:
B
Step-by-step explanation:
A cocktail nut mix should have the following minimum requirements in a can of 1 pound being sold at $3.99 a can at retail stores. The following information is given: Nut Type Minimum Amt Maximum Amt Cost per pound Almond 10% 100% $2.75 Peanut 0% 50% $0.55 Walnut 20% 100% $1.70 Cashew 0% 40% $1.20 The can costs $0.10. Find the proportion of these nuts by weight to maximize the profit of the nut manufacturer. Use those proportions to select the answer closest to the profit that can be made per can if it is sold to the retail store at $3.00 a can. Group of answer choices $1.65 $1.35 $2.76 $1.77
Answer:
Nut
Step-by-step explanation:
The equation of a circle is x2 +y2 =81 what is the diameter of the circle
Answer:
pretty sure it's 9.
Step-by-step explanation:
square root of 81 is 9. 3 is its radius.
Sydney invested $440 in an account paying an interest rate of 5.6% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $640?
Answer:
The time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Step-by-step explanation:
Given
Principle Amount P = $440 Accrued Amount A = $640Interest rate r = 5.6% = 0.056Compounded daily n = 365To determine:
Time period t = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
solving for t
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values A = 640, P = 440, n = 365 and r = 0.056
t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )
t = 6.691
t ≈ 7 (nearest year)
Therefore, the time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
I need help please.
Answer:
A because there isnt a mode, hope this helps\