Answer:
no solution
Step-by-step explanation:
y = 2x + 6 → (1)
y = 2x - 1 → (2)
substitute y = 2x + 6 into (2)
2x + 6 = 2x - 1 ( subtract 6 from both sides )
2x = 2x - 7 ( subtract 2x from both sides )
0 = - 7 ← not possible
This indicates the system of equations has no solution
Proportions: Aubrey's car used 2 gallons to travel 90 miles. How far can she travel on 11 gallons?
Answer:
495 gallons
Step-by-step explanation:
2= 90
11=?
90×11÷2
= 495 gallons
answer question below pls. If you do, I will mark it brainliest.
The expression in the blank spaces -3x, 5x-8, -4x+7, 3x-10, 4x-9 and -2x+5 represented with A, B, C, D, E and F respectively
What are the expressions in the blank space?
This is a problem involving algebraic expressions
Since the total for each row and column is the same
First, start from the second because it is complete. Add up all the expressions to get the total:
2x-3 + 3 + 2-x + x = 2x-2
Check the attached image. I labeled the boxes with alphabets for convenience.
A = 2x-2 -(1-2x) - (4x-1)-(3x-2) (Remember: 2x-2 is the total)
A = 2x-2 -1 +2x - 4x+1-3x+2 = -3x
B = 2x-2 -(8-3x) - (2x-3) -(1-2x)
B = 2x-2 -8+3x - 2x+3 -1+2x = 5x-8
C = 2x-2 -B -(6-5x) -(6x-7) where B = 5x-8
C = 2x-2 -5x+8 -6+5x -6x+7 = -4x+7
D = 2x-2 -3 -(4x-1) -(6-5x)
D = 2x-2 -3 -4x+1 -6+5x = 3x-10
E = 2x-2 -C -(2-x) -(3x-2)
E = 2x-2 +4x-7 -2+x-3x+2 = 4x-9
F = 2x-2 -A -x -(6x-7)
F = 2x-2 +3x -x -6x +7 = -2x+5
Therefore, the blank spaces should be filled with the expressions -3x, 5x-8, -4x+7, 3x-10, 4x-9 and -2x+5 represented with A, B, C, D, E and F respectively
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Dave is trying on pants. Each pair is too small, fits well, or is too big. Dave estimates that 10%, percent of the pants he tries on will be too small and that 20% of the pants will be too big. If he were to try on 20 pairs of pants, which is the best prediction for the number of pairs of pants that would fit well?
The best prediction for the number of pair of pants that would fit well is 14.
What is the best prediction?Percentage is when value is converted to a number out of 100. Percentage is a measure of frequency. The sign that is used to represent percentages is %.
The first step is to determine the percentage of pair of pants that would fit well.
Percentage of the pair of pants that would fit well = 100% - percentage that are too big - percentage that are too small
Percentage of the pair of pants that would fit well = 100% - 10% - 20% = 70%
Number of pair of pants that would fit well = total pants that Dave tried x percentage that fits well
Number of pair of pants that would fit well = 20 x 70%
Number of pair of pants that would fit well = 20 x 0.7 = 14
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
Fiona is solving the problem. If she made a mistake in which step(s) did she make it?Solve: 25^x = ✓125Step 1: 25^x = 125^-2Step 2: 5^2x = 5^-6Step 3: 2x = -6Step 4: x = -3A) Step 1B) Step 2C) Step 3D) There is no mistake
Fiona made a mistake in Step 1 because:
[tex]\sqrt[]{125}=125^{\frac{1}{2}}\text{ not }125^{-2}[/tex]Find the midpoint of the segment with endpoints of (-1, 7) and (3, -3) andenter its coordinates as an ordered pair. If necessary, express coordinates asfractions, using the slash mark (7) for the fraction bar.
The two endpoints we have are (-1,7) and (3,-3).
And we need to find the midpoint.
Step 1. Label the given coorfinates as (x1,y1) and (x2,y2):
[tex]\begin{gathered} x_1=-1 \\ y_1=7 \\ x_2=3 \\ y_2=-3 \end{gathered}[/tex]Step 2. Use the midpoint formula:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Substituting the values for x1, x2, y1, and y2 that we found in step 1:
[tex](\frac{-1+3}{2},\frac{7-3}{2})[/tex]Step 3. Solve the resulting operations to find the coordinates of the midpoint:
[tex](\frac{2}{2},\frac{4}{2})[/tex]Solving the divisions:
[tex](1,2)[/tex]The midpoint is (1,2).
Answer: (1,2)
what does 7m- m equal
7m-m is equal to 6m.
evaluate the polynomial -x^4-3+4x^2+2 when x=-1
the given expression is,
[tex]=-x^4-3+4x^2+2[/tex]put x = -1 in the above expression
[tex]\begin{gathered} =-(-1)^4-3+4(-1)^2+2 \\ =-1-3+4+2 \\ =2 \end{gathered}[/tex]so the answer is 2
Which shows the best estimate for 8.3 ÷ 1.01? A. 7 B. 8 C. 9 D. 9.5
Answer:
the answer is probably B. 8
Step-by-step explanation:
because when the exact answer is put out you need an estimate
8.2178 exactly with the added symbol
so the estimate would have to be B. 8
Answer:b.8
Step-by-step explanation:
9.3 divided by 3.8 HELP MEEEEEEEEEEEEEEEEEE
Answer: 2.44736
Step-by-step explanation:
how do you ?????????????????????????
what???
any question?????
find an equation of a line with a slope of 6 and having the point (3,5) on the line
Given:
The point (3,5)
The slope is 6.
To find the equation of the line:
Using the point-slope formula,
[tex]y-y_1=m(x-x_1)[/tex]Substituting the point and slope, we get
[tex]\begin{gathered} y-5=6(x-3) \\ y-5=6x-18 \\ y=6x-18+5 \\ y=6x-13 \\ y-6x+13=0 \end{gathered}[/tex]Hence, the equation of the line is,
[tex]y-6x+13=0[/tex]Which equation demonstrates the distributive property? Responses A (3 + 8)5 = 5(3 + 8)(3 + 8)5 = 5(3 + 8) B 15 + 40 = 5(3 + 8)15 + 40 = 5(3 + 8) C 15 x 40 = 40 x 1515 x 40 = 40 x 15 D 15 + 40 = 55
The correct equation which demonstrates the distributive property will be;
⇒ 15 + 40 = 5 (3 + 8)
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
Given that;
There are some equations.
Now,
We know that by the definition of distributive property,
⇒ a (b + c) = ab + ac
So, By the equation (ii);
⇒ 15 + 40 = 5 × 3 + 5 × 8
= 5 (3 + 8)
Thus, The correct equation which demonstrates the distributive property will be;
⇒ 15 + 40 = 5 (3 + 8)
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what is the zero of f(x)=-2x+6
Answer:
Step-by-step explanation:
the answer is x=25
two shirts cost 12:40$ how much will it cost to buy five of the shirts?
Answer:
12.50/26.256.25×5 31.25
Step-by-step explanation:
What is the x-coordinate of the point in the stan- dard (x, y) coordinate plane at which the two lines y = - 2x + 7 and y = 3x - 3 intersect? A. 10B. 5 C. 3D. 2 E. 1
we can equalize the equations and solve x
[tex]-2x+7=3x-3[/tex][tex]\begin{gathered} 7+3=3x+2x \\ 10=5x \\ x=2 \end{gathered}[/tex]the option is D
a farmer keeps cows,pigs and sheep on his farm. the ratio of cows to pigs to sheep on the farm is 2:7:16. work out the percentage of the animals that are sheep
Using percentages, we know that there are 64% of sheep in the total of all the animals, which is the ratio [Cows:pigs:sheep = 2:7:16].
What are percentages?A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, the decimal 0.35, or the fraction, represents 35%. By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.So, the percentage of sheep in the given ratio:
Cows:pigs:sheep = 2:7:16So, the total number of animals:
2+7+16 = 25Now, calculate 16 as what percentage of 25 as follows:
25/100 × x = 1625x = 1600x = 1600/25x = 64%
Therefore, using percentages, we know that there are 64% of sheep in the total of all the animals, which is the ratio [Cows:pigs:sheep = 2:7:16].
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(12-√-8)/2
solve as a complex number?
The solution to the expression (12-√-8)/2 as a complex number is 6 - i√2.
What is expression?
In mathematics, an expression is a combination of numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, division, exponents, and roots.
The expression (12-√-8)/2 involves a square root of a negative number, which cannot be represented by a real number. Therefore, we need to extend the real numbers to the complex numbers to solve this expression.
To evaluate the square root of a negative number, we can use the imaginary unit, denoted by i, which is defined as the square root of -1. Then, we have:
√-8 = √(8) √(-1) = 2i√2
Substituting this value back into the original expression, we get:
(12-√-8)/2 = (12 - 2i√2)/2
Simplifying the expression by dividing both the numerator and denominator by 2, we get:
(12 - 2i√2)/2 = 6 - i√2
Therefore, the solution to the expression (12-√-8)/2 as a complex number is 6 - i√2.
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Assume the base unit of water is 555 gallons and the cost per unit is $1.74. How much money will be saved in a month by a family who conserves 8000 gallons of water per month?
1) Gathering the data
555 gallons ----- $ 1.74
2) If 8000 gallons could be spent
If a Family conserves 8000 gallons this family would not have an expense of?
Let's set a proportion for that:
555 g-----$1.74
8000g ---x
555x =13920 Dividing both sides by 555
x=25.08
If a family conserves 8000 gallons of water. They save $25.08 per month assuming that $1.74 is equal to 555 gallons of water.
1 divided by 4/9 lowest term
The number obtained 9/4 is the reciprocal of the number 4/9.
What is defined as the reciprocal of a number?The multiplicative inverse of the a number is defined as the reciprocal. In other words, a number's reciprocal is described as 1 divided by such a number. The product of a specific number and its reciprocal always equals one.The reciprocal of the a fraction can be calculated by swapping the numerator as well as denominator values.For the given number.
Divide 1 by 4/9
This can be written as;
= 1/(4/9)
= 9/4
Then, the number obtained 9/4 is the reciprocal of the number 4/9.
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1. The volume of a 3-D shape is 27 cubic inches. The shape is scaled up by a factor of 3. What is the
volume of the new shape?
Answer:
81
Step-by-step explanation:
27 * 3 = 81
Is 4/21 and 16/84 proportional
Answer:
True. They are both 4/21 and 4/21.
Step-by-step explanation:
You know they are proportional if they can be reduced any smaller. 4/21 cannot be reduced, but 16/84 can. 16 divided by 4 = 4. 84 divided by 4 = 21.
So, we are left with the answers 4/21 and 4/21. So, this answer is True.
May I have Brainliest please? I am so close to getting my next ranking! I just need 3 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Mrs. publinsky and her husband, xander, are planning their dream house. the lot for the house sits high on a hill with a beautiful view of the white mountains. the plans show the size of the house to be 2,900 square feet.
The estimated cost if they use a contractor to complete the house would be $435,000.
How to calculate the cost of the house?The cost of the house is based on what home builders typically charge for a house similar to the one Mrs. Pavlinski and her husband Zander have in mind.
In this case, the contractor's price is $150 per square foot of her home while the area of the house is given as 2,900 square feet.
Total cost = Cost per square feet x Area of house
Solving for the estimated cost gives:
= 150 x 2,900
= $435,000
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The given question is incomplete and the complete question is as follows.
"Mrs. Publinsky and her husband, Xander are planning their dream house. The lot for the house sits high on a hill with a beautiful view of the White Mountains. The plans show the size of the house to be 2,900 sq ft. The average price for a lot and house similar to this one has been 150 per sq ft. Fortunately, Xander is a retired plumber and feels he can save money by installing the plumbing himself. Mrs Publinsky feels she can take care of the interior decorating. They both feel they can complete the exterior painting with the help of their two sons."
Similar figures have sides that are proportional and corresponding angles 1 that are to each other * Cooresponding Similar O Congruent O Proportional O None of the above
Similar figures have sides that are proportional and corresponding angles are congruent to each other
find rates in context
To find out the rate of change, divided 110,400 miles by 24 hours
so
110,400/24=4,600 miles per hour
complete the identitysin 2x - cot x
Let's complete the identity:
[tex]\begin{gathered} \sin 2x-\cot x=2\sin x\cos x-\frac{\cos x}{\sin x} \\ =\frac{2\sin^2x\cos x-\cos x}{\sin x} \\ =\frac{\cos x(2\sin^2x-1)}{\sin x} \\ =\frac{\cos x}{\sin x}(2\sin ^2x-1) \\ =\frac{\cos x}{\sin x}(2(1-\cos ^2x)-1) \\ =\frac{\cos x}{\sin x}(2-2\cos ^2x-1) \\ =\frac{\cos x}{\sin x}(1-2\cos ^2x) \\ =\frac{\cos x}{\sin x}(-\cos 2x) \\ =-\cot x\cos 2x \end{gathered}[/tex]what digit is in the
we have the expression
[tex]\frac{2}{9}\cdot\frac{1}{3}[/tex]Multiply the fractions
(multiply the numerators and the denominators)
so
[tex]\frac{2}{9}\cdot\frac{1}{3}=\frac{2\cdot1}{9\cdot3}=\frac{2}{27}[/tex]If f(x) = x + 4 and g(x) = x ^ 2 - 1 , what is big(g f big) big(x big) ?
Given
[tex]\begin{gathered} f\mleft(x\mright)=x+4 \\ g\left(x\right)=x^2-1 \end{gathered}[/tex]Find
[tex](g\circ f)(x)[/tex]
Explanation
[tex]\begin{gathered} (g\circ f)(x)=g(f(x)) \\ (g\circ f)(x)=g(x+4) \\ (g\circ f)(x)=(x+4)^2-1 \\ (g\circ f)(x)=x^2+16+8x-1 \\ (g\circ f)(x)=x^2+8x+15 \end{gathered}[/tex]Final Answer
Therefore , the correct option is C.
Or watch a video leroy is a citizen scientist for a monarch butterfly project. every week, he visits a local patch of milkweed and counts the number of monarch larvae on the plants. last week, leroy didn't count many larvae. this week, he counts 29 larvae on the milkweed. for both weeks, leroy's total count is 41 larvae.
Leroy's count for last week is 21 larvae.
Define subtractionThe process of determining the difference between two integers is called subtraction, which is a fundamental arithmetic operation and is represented by the symbol (-). To determine the difference between two numbers, perform the subtraction process. When you remove a few items from a group of things, the group gets smaller.
Given, total count for both week is 41 larvae
Count for this week is 29 larvae.
Now, find the count for last week,
count = 41 - 29
= 12
Therefore, Leroy's count for last week is 12 larvae.
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The complete question is:
Leroy is a citizen scientist for a monarch butterfly project. Every week, he visits a local patch of milkweed and counts the number of monarch larvae on the plants. Last week, Leroy didn't count many larvae. This week, he counts 29 larvae on the milkweed. For both weeks, Leroy's total count is 41 larvae. Find Leroy's count for last week.
HELP IT'S DUE NOW! :(
The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68 , 0.08b + 0.15c = 6.00 .
In the question ,
it is given that
the total amount paid by the customer at the print shop = $6.00
total number of copies that the customer made = 68
the cost for printing 1 black and white copy = $0.08
the cost of printing 1 color copy = $0.15
let the number of black and white copies be "b"
let the number of color copies be "c" .
So ,
b + c = 68
and
the cost of b black and white copies is = 0.08b
the cost of c color copies is = 0.15c
the total cost = cost of b black and white copies + cost of c color copies
6.00 = 0.08b + 0.15c
0.08b + 0.15c = 6.00
Therefore , The system of equations that can be used to find the number of black and white copies and color copies is b + c = 68 , 0.08b + 0.15c = 6.00 , the correct option is (d) .
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