Answer:
both ordered pairs are solutions
Step-by-step explanation:
10d+10=5d+45 plz help
Two fifths of the fish in Gary's fish tank are guppies onefourth of the guppies is red what fraction of the fish in Gary's tank are red guppies what fraction of the fish in Gary's tank are not red guppies show your work
The perimeter of a rectangle is 524cm. The length is is 42cm more than the width. What is the length of the rectangle?
Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.
A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8 snack bar?
choose the graph below that correctly represents the equation 2x + 4y = 24.
A.
B.
C.
D.
Answer:
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Step-by-step explanation:
What is 75 1/2 Times 100 3/4
On the field trip, Toni collected 4 times as many bugs as Kaylie. Kaylie collected 14 bugs. How many bugs did Toni collect? Draw a bar diagram. Write and solve an equation to represent the problem
Write a word phrase to represent the numerical expression 5+(17-8)
factor Completely 2x^2+11x-63
Answer:
(x + 9) × (2x - 7)
Step-by-step explanation:
You need to write the equation as a difference
2x^2 + 18x - 7x - 63
Then factor the expressions
2x(x + 9) - 7(x + 9)
Factor again
PLEASE HURRY
Which set of angles can form a triangle?
A. 1 acute and 2 right
B. 2 acute and 1 right
C. 1 acute and 2 obtuse
D. 1 acute, 1 right, and 1 obtuse
Which statement is true about the result of a rigid transformation? (4 points)
The image will be larger than the pre-image.
The pre-image will be larger than the image.
Each one is unique; no general statement can be made about size.
The pre-image will be congruent to the image
Answer:
The pre-image will be congruent to the image : True
Step-by-step explanation:
The transformation falls broadly into two types.
Rigid Transformation and Non Rigid Transformation .
Rigid Transformation: The new image has the same size and the shape as that of pre image. Thus both the images are congruent to each other.
Non Rigid Transformation : The new image is has the same shape. however the size of the new image changes. hence they are similar to each other but not congruent.
Hence our third option is correct.
I am multiple of 70. I am between 300 and 500. I am 20 more than a multiple of 100. who am i?
Which expressions are perfect square trinomials? Check all that apply.
x2 + 16x + 8
x2 + 14x + 49
x2 – 5x + 25
x2 – 24x + 144
x2 + 9x – 81
The expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
A quadratic trinomial of the form [tex]ax^2+bx+c[/tex] is a perfect trinomial if it can be expressed as [tex](mx + n)^2[/tex]
Let us consider [tex]x^2+14x + 49[/tex]
[tex]x^2+14x+49\\x^2+7x+7x+49\\x(x+7)+7(x+7)\\(x+7)(x+7)\\(x+7)^2[/tex]
Let us consider:
[tex]x^2-24x+144\\x^2-12x-12x+144\\x(x-12)-12(x-12)\\(x-12)(x-12)\\(x-12)^2[/tex]
All other options do not give a perfect square when tested
Therefore, the expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
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The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground?
Answer:
its a and c
Step-by-step explanation:
Which shows three equivalent rational numbers?
A. 13/-14= -13/14=-13/14
B. -3/5 = 3/5=-3/5
C. -1/17=1/-17=1/17
D. -5/37 = 5/37=-5/37
Don’t answer if you aren’t sure.
I need an answer what is 1.03 ÷ (-10.3)=?
The answer to 1.03 ÷ (-10.3) is -0.1.
Explanation:To divide 1.03 by -10.3, you can use the division algorithm. Divide the absolute values of the two numbers and obtain the quotient. Since the signs of the two numbers are different, the quotient will be negative. Therefore, 1.03 ÷ -10.3 = -0.1.
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A box of nutmeg weighs 99.66 grams. If there are 22 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh? (Round your answer to the nearest thousandth.)
There was 2/3 of a pizza for 6 friends to share equally. What fraction of the pizza did each person get
Each person get 1/9 of a pizza.
What is Fraction?
A fraction is defined as a part of a whole.
Given that;
There was 2/3 of a pizza for 6 friends to share equally.
Now,
Total amount of pizza = 2/3
Number of friends = 6
So, For finding the amount of pizza get by each person we formulate.
= 2/3 × 1/6
= 2/18
= 1/9
Thus, Each person get 1/9 of a pizza.
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Write 24.357 in the Expanded form using fractions
given h(x) = -x + 1, find h(0)
Help me I don’t get this problem...
Line R T and line S U slightly inclined with horizontal intersects at V. The upward and downward angles of the intersecting lines are obtuse. The left and right angles of the intersecting lines are acute. The measure of angle R V U is labeled as left parenthesis 8 y minus 33 right parenthesis degrees. The measure of angle S V T is labeled as left parenthesis 5 y plus 9 right parenthesis degrees.
Answer:
14=y
or y=14
Step-by-step explanation:
A hiker leaves camp and hikes 9 miles north and than hikes 7 miles east. What is the resulting displacement of the hiker?
A rectangular park, with dimensions of 1500ft x 2000ft has a diagonal walking path that goes from corner to corner. How long is the walking path?
250 ft
2500 ft
3500 ft
5000 ft
At the gas station each liter of gas costs $3 but there is a promotion that for every beverage you purchase you save 0.20 cents on gas. Is your total savings on gas proportional to the number of beverages you purchase?
Answer:
Yes
Step-by-step explanation:
The answer is yes it is proportional
when rounded to the nearest hundred which of the following would round of to 4,600
Nicole has $9 to spend on cards.She finds friends with the same amount of money to split the cost of a set. One set cost $27. Each friend gets the same number of cards. How many cards does each friend get?
Answer: Number of cards each friend gets is given by
[tex]\frac{x}{3}[/tex]
Step-by-step explanation:
Let the number of cards be x.
Since we have given that
Amount Nicole used to spend on cards = $9
Total cost of one set =$27
Since she finds friends with the same amount of money to split the cost of a set.
So, Number of friends she finds is given by
[tex]\frac{27}{9}=3\\\\\text{ Nicole finds 2 friends who has same amount to split the cost}[/tex]
Now, Number of cards each friend gets is given by
[tex]\frac{x}{3}[/tex]
Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is modeled by the function
M(s)= -1/28s^2+3s-31
where s is the speed in mi/h and M is measured in mi/gal.
Final answer:
The quadratic function represents the gas mileage of a car in relation to its speed. By calculating the vertex of the parabola, it is determined that the best gas mileage for the given new car model occurs at a speed of 42 mi/h, which can lead to more efficient driving.
Explanation:
Understanding Gas Mileage and Speed
The question revolves around the mathematics found in the relation between speed and gas mileage for cars. Specifically, a quadratic function M(s) = -1/28s²+3s-31 represents the gas mileage M, in miles per gallon (mi/gal), at a given speed s in miles per hour (mi/h) for a new car model. To analyze this model, one may want to find the speed that provides the best gas mileage, which typically requires finding the vertex of the parabolic graph that this equation represents.
To find the speed that gives the maximum gas mileage, we would complete the square or use the vertex formula for a parabola given by s = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively. For our function, a = -1/28 and b = 3. Plugging these into our formula gives a speed of s = -3 / (2 * -1/28) = 42 mi/h. This suggests that the best gas mileage for this car model occurs at a speed of 42 miles per hour.
It is essential to understand the relationship between speed and gas efficiency because it can help reduce fuel consumption and costs, as well as lessen environmental impact. By finding the optimal speed for gas mileage, drivers can make informed decisions about their driving habits for financial and ecological benefits.
a contractor purchases motors listed at $6800 and receives successive discounts of 20% and 10%. what is the net cost