Answer:
x = 20
Step-by-step explanation:
→Add 6 to both sides:
[tex]\frac{1}{2} x-6=4[/tex]
[tex]\frac{1}{2} x=10[/tex]
→Multiply both sides by 2:
x = 20
Declan needs euros to go on holiday. He can buy 46 euros for £40. How much will 805 euros cost at the same rate?
Answer:
700 pounds
Step-by-step explanation:
if 46 euros cost 40 pounds
then 805 euros will cost 805 multiplied 40
whatever answer you get divide it by 46
A____ function is a function that can be expressed as the quotient of two polynomial functions
in which the denominator does not equal zero.
Answer:
Rational expression
Step-by-step explanation:
A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x
A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.
Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.
Thus, the blanked statement is the definition of the rational function
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Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular?
A. You can use a relative frequency table to examine how data sets are related by comparing percentages.
B. Row and column relative frequency tables tell you the same information as total relative frequency tables.
C. A column relative frequency table helps compare data in two different rows.
D. In a column two-way relative frequency table, each column totals 100%.
Step-by-step explanation:
D. In a column two-way relative frequency table, each column totals 100%.
Help asap please, dhebduhd
Answer:
Angle 4
Step-by-step explanation:
The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.
Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from the carton?
Isabella can have 8 full glasses and 0.75(3/4) glasses from the 1.75-liter carton of apple juice.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Isabella buys a 1.75-liter carton of apple juice.
To convert it to milliliter multiply it by 1000
1.75 liter in ml = 1.75×1000 = 1750 ml
Let's suppose the number of glasses she can have is x, so the value of x:
x = 1750/200 = 8.75 glasses.
Thus, Isabella can have 8 full glasses and 0.75(3/4) glasses from the 1.75-liter carton of apple juice.
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If a case of chips has 27 bags in it. How many cases would they need for 410 bags of chips?
Equation:
Answer:
they would need 15 cases for 410 bag of chips
Step-by-step explanation:
410/7= about 15
Be certain you have solved for both variables in the system of equations. Solve the following systems of equations algebraically. Show your work. 5x-y=-5 3x-5y=-3
Answer:
x= 1.27, y= 11.4 (to 3s.f.)
Step-by-step explanation:
5x -y= -5 -----(1)
3x -5y= -3 -----(2)
From (1):
-y= -5x -5
divide by -1 throughout:
y= 5x +5 -----(3)
Subst. (3) into (2):
3x -5(5x +5)= -3
3x -25x +25= -3 (expand)
-22x= -3 -25
-22x= -28
divide by -22 throughout:
x= 1.2727 (5 s.f.)
x= 1.27 (3 s.f.)
subst. into (3):
y= 5(1.2727) +5
y= 11.4 (3 s.f.)
Simplify. x+5/x^2+6x+5
1/x+1; where x ≠ -1
1/x+1; where x ≠ -1,-5
1/x-5; where x ≠ 5
X-5
Answer:
7x3 + 5x2 + 5
x2
= 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sum =6
Product =5
Factors = 5 , 1
x² + 6x + 5 = x² + x + 5x + 5*1
= x(x + 1) + 5(x+1)
= (x+1) (x +5)
[tex]\frac{x+5}{x^{2}+6x+5}=\frac{x+5}{(x + 1)(x+5)}\\\\=\frac{1}{x+1}[/tex]
Which is the pair of congruent
Answer:
CBA = DEA
Step-by-step explanation:
Theyre the only right angles listed.
Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)
Answer:
8.25 pounds
Step-by-step explanation:
When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds
∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*
[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]
Answer:
m∠ A=78°
m∠ B=12°
Step-by-step explanation:
∠A+∠B=90°
15x+3+5x-13=90
20x-10=90
20x=100
x=5
∠A=(15×5+3)°=(75+3)°=78°
∠B=(5×5-13)°=(25-13)°=12°
Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)
Answer:
B.
Step-by-step explanation:
because the vertex of parabola is f(x)
Question:
Consider the rectangle shown here.
A. State its area in square inches.
B. State its area in square feet, to the nearest tenth.
C. In general, A square inches equals how many square feet?
Answer:
A. Area in square inches = 1760 square inches
B. Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
Step-by-step explanation:
Given,
Length of the rectangle (l) = 55 inches
Breath of the rectangle (b) = 32 inches
A. Area of the rectangle = length × breath
⇒ 55 × 32
⇒ 1760 square inches
Area in square inches = 1760 square inches
B. 1 foot = 12 inches
1 inch = [tex]\frac{1}{12}[/tex] feet
1 square inch = [tex]\frac{1}{144}[/tex] feet
∴ 1760 square inches = [tex]\frac{1760}{144}[/tex] feet
⇒ 12.2222 square feet
Area in square feet = 12.2 square feet
C. 1 square inch = [tex]\frac{1}{144}[/tex] feet
how much is a mass in kilograms ?
Answer:
1,000 grams, we have 1 kilogram
Step-by-step explanation:
Step-by-step explanation:
1000 grams in 1 kilograms
I don't know what to put in theboxes.
I guess you have to put the amounts in the boxes based on your data :) hope that helped a little
I think it should go like
3|6
1|2
please help, will give brainliest
Answer:
4/7
Step-by-step explanation:
4/7 is squared and then square rooted, changing nothing.
Find the volume of the figure below. Round to the nearest tenth.
Answer:
The volume of the figure given is:
3057,57 cm^3Step-by-step explanation:
To find the volume of the figure in the picture, first, you must divide the figure in the two known figures there: a cylinder and a rectangular prism, now you can find the volume of each figure separated and at the last add the two volumes.
Volume of the cylinder.
The formula to find the volume of a cylinder is:
Volume of a cylinder = PI * r^2 * hWhere:
PI = 3,1416 approximately (In this case I´ll use the number without approximation, you can find this in the calculator).
r = radius (the distance from a side of the circle to the center of this, in this case, is 7 cm)
h = height (in this case is 7 cm too, you can find these values in the figure given)
Now we must replace the values:
Volume of a cylinder = PI * r^2 * h Volume of a cylinder = PI * (7 cm)^2 * 7 cm Volume of a cylinder = 1077,57 cm^3 approximately.Volume of the rectangular prism.
The volume of a rectangular prism is actually easy, you only must multiply the width, the length, and the height, so, the formula is:
Volume of a rectangular prism = width * length * height.When we replace the values given in the figure:
Volume of a rectangular prism = 11 cm * 20 cm * 9 cm Volume of a rectangular prism = 1980 cm^3At the last, we add the two volumes found:
Volume of the figure = 1077,57 cm^3 + 1980 cm^3 Volume of figure = 3057,57 cm^3You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?
Answer:
216
Step-by-step explanation:
12 × 18 = 216 :)) !!!!
The word problem below has too little information. Read carefully and then
choose the fact or facts needed to solve the problem.
Carl rode a horse about 15 feet from the center of the carousel. Allison rode
a horse about 10 feet from the center. How much further did Carl's horse
travel in one complete turn of the carousel?
A. Horses on the outside edge are the fastest.
B. Carl's horse travels 90 feet in one turn.
C. Horses near the center are the slowest.
D. Allison's horse travels 60 feet in one turn.
Answer:
5 feet.
Step-by-step explanation:
We have been given that about 15 feet from the center of the carousel. Allison rode a horse about 10 feet from the center of the carousel.
To find the distance covered by Carl's horse more than Allison's horse we will subtract covered by Allison's horse from the distance covered by Carl's horse.
What is... 55.
One more?.......,,,
One less?.............
Ten more?...........,
Ten less?..............
Answer:
one more would be 56
one less would be 54
ten more would 65
ten less would be 45
Step-by-step explanation:
add one more to 55 to get 56
subtract one from 55 to get 54
add ten more to 55 to get 65
subtract ten from 55 to get 45
What is the height of this isosceles triangle?
Answer:
height ≈ 11.9 units
Step-by-step explanation:
Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.
Using the sine ratio in one of these right triangles, then
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )
sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )
16 × sin48° = h , thus
h ≈ 11.9 ( to the nearest tenth )
What is half the sum of a number and sum
Answer:
1/2(n+5)
Step-by-step explanation:
Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs. What percentage of time was spent sprinting? please explain how you get the answer, I want to understand on my own and math is a struggle for me.
If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
What is Percentage?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given that;
Time spent on push ups = 2 hoursTime spent on sprints = 1 hoursTime spent on benching = 1.5 hoursPercentage of time spent sprinting P = ?First we determine the total time.
T = tPUSHUPS + tSPRINT + t BENCHING
T = 2hrs + 1hr + 1.5hrs
T = 4.5hrs
Now, percentage of time spent sprinting P will be;
Percentage = ( Part / Whole ) × 100%
Percentage = ( tSPRINT / Total time ) × 100%
P = ( 1hr / 4.5hr ) × 100%
P = ( 0.2222 ) × 100%
P = 22.2%
Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.
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Solve |2x + 6|<16
A {x|-11
B {x<-11 or x>5}
C {x|-5
Evaluate 4x3 + 2 for x = -1. -6 -2 -10 -62
Answer:
-2125762
Step-by-step explanation:
A map has a scale of 2cm=50 km.If two cities appear 10 cm meters apart, how many kilometers apart really are they?
Answer:
2 cm = 50 km
Find what the rate would be if 2 became 10 by dividing
10/2=5
multiply the 5 with the rate
5 x 50 = 250
250 km apart
hope this helps
Step-by-step explanation:
Mark all the statements that are true.
The function f(x) is shown in this graph please help because I can’t understand this concept
Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
Katie sewed costumes for the high school's annual play. She spent the following number of hours on each dress. What is the mean number of hours spent on each dress? 5 1/4 4 1/2 3 3/4 4
Answer:
round down to 2.9 if to 1dp
Step-by-step explanation:
What is the value of x? Enter your answer in the box.