Answer:
£15
Step-by-step explanation:
We know that Carly works 6 hours each day for 4 days. This means she works a total of 24 hours per week.
In addition, we know that she makes £360 per week.
Therefore, let [tex]x[/tex] be the amount in £ that she makes per hour:
[tex]24x = 360 \text{ // Divide by 24}\\x = 15[/tex]
Carly earns £15 per hour.
On a coordinate plane, an absolute value graph has a vertex at (1, 3). Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answer: g(x)= |x-1| + 3
Step-by-step explanation: the |x-1| means you need to move the vertex to the right by one and the +3 means you must move the vertex up by three
The equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
The vertex is given as:
[tex](h,k) = (1,3)[/tex]
An absolute function is represented as:
[tex]y = a|x - h| + k[/tex]
Substitute 1 for h, and 3 for k
[tex]y = a|x - 1| + 3[/tex]
Assume that the value of (a) is 1
[tex]y = 1 \times |x - 1| + 3[/tex]
So, we have:
[tex]y =|x - 1| + 3[/tex]
Represent as a function
[tex]g(x) =|x - 1| + 3[/tex]
Hence, the equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
Read more about absolute functions at:
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Jack cut two fabric circles of different sizes in his art class. The larger circle has a circumference of 22 inches, and the smaller circle has a circumference of 14 inches. What is the total area, to the nearest square inch, of the two circles? Use π≈3.14.
First, lets call the larger circle "A" and the smaller circle "B".
List the angles in order from least to Greatest.
Answer:
I think it would be B) A,B,C
Step-by-step explanation:
well A is smaller than B or C and B is smaller than C.
Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]
Answer:
9/70
Step-by-step explanation:
Mathematically;
Average rate of change on an interval [a,b] is;
f(b) - f(a)/b-a
f(0) = -3/5
f(3) = -3/14
a = 0
b = 3
Making the substitution, we have
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
The turkey Damian's dad bought at the store weighed 23 pounds after it was cooked. When his aunt cut all the meat off the bone, the meat weighed 17 pounds. Damian says that the meat of the cooked turkey was 74% of the weight of the turkey. Do you agree with Damian?
Answer:
YES.
Step-by-step explanation:
Given:
Weight of turkey with bone = 23 pound
Weight of turkey without bone = 17 pound
Computation:
Weight of turkey without bone percent = [17/23]100
Weight of turkey without bone percent = 73.913 %
Weight of turkey without bone percent = 74% (Approx)
So,
Damian says correct.
Which of the following sets of numbers could not represent the three sides of a right
triangle?
O {15, 20, 25}
O {20, 21, 28}
O {48, 55, 73}
{39, 80, 89}
Help please I don’t understand
Answer:
It is xy
Step-by-step explanation:
Answer:
XY
Step-by-step explanation:
omit the hypotenuse (XZ) since it's always hypotenuse while the adjacent and opposite sides vary.
hypotenuse cannot be both adjacent and hypotenuse at the same time.
Jason has been smoking cigarettes since he was 13 years old. He has smoked an a age of one pack of cigarettes a day since he started smoking. A single pack contains 20 individuals cigarettes. What is the number of cigarettes he will smoke by the time he's 15, 19, 25, and 50? How many packs will he have smoked by then?
Answer:
No of cigarettes
15 years of age = 14600 cigarettes
19 years of age = 43800 cigarettes
25 years of age = 87600 cigarettes
50 years of age = 270100 cigarettes
No of packs
15 years of age = 730 packs
19 years of age = 2190 packs
25 years of age = 4380 packs
50 years of age = 13505 packs
Step-by-step explanation:
Jason started smoking when he turned 13 years of age.
Average smoking per day = 1 pack = 20 cigarettes
No of Cigarettes consumed
When he turned 15 yearsNo of days = 730 days
No of cigarettes = 730 * 20 = 14600 cigarettes
When he turns 19No of days = 6*365 = 2190 days
No of cigarettes = 2190*20 = 43800 cigarettes
When he turns 25No of days = 12*365 = 4380 days
No of cigarettes = 4380*20 = 87600 cigarettes
When he turns 50No of days = 37*365 = 13505
No of cigarettes = 13505*20 = 270100 cigarettes
No of packs
15 years of age = 14600/20 = 730 packs
19 years of age = 2190 packs
25 years of age = 4380 packs
50 years of age = 13505 packs
How much grape juice would you need to mix with 154 quarts of sparkling water?
The amount of grape juice need to mix with 15 / 4 quarts of sparkling water is , 15/8 quarts.
What is Quart measurement ?The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters.
Mathematically, we can write :
1 quart = 32 fluid ounces
or
1 quart = 0.94 US liters = 4 cups (approx.)
According to question,
[tex]1\frac{1}{2}[/tex] quarts of water = 3/2 quarts of water = 3/4 quarts of grape
let, 15 /4 quarts of sparkling water = x
now, solving the equation
x = ( 3/4 × 15/4 ) ÷ 3/2
x= 3/4 × 15/4 ×2/3
x =15/8
Thus, The grape juice needed is , 15/8 quarts.
To know more about mixtures, visit :
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The complete question is :
A recipe of sparkling grape juice is made with [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quarts of grape juice? How much of grape juice would you need to mix with 15/4 quarts of sparkling water?
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
60 po
Step-by-step explanation:
kase na try ko na ehh
Answer:
The correct answer is 15 kilometers.
Step-by-step explanation:
We know that your bike is 30 kilometers per every 2 hours. However, we need to find the speed per hour.
In order to find this quantity, we simply need to divide 30 kilometers by 2.
30 ÷ 2 = 15
Therefore, the correct answer is 15 kilometers.
Hope this helps! :D
Which of these is equal to 5 (8 – t)?
A) 5t - 40
B) 5t + 40
C) t - 40
D) 40 - 5t
Answer:
D) Is the correct answer 40 - 5t
Step-by-step explanation:
I hope that help's
100 points and brainliest if you get these right
Answer: 1. a
2. 8
3. b
4. -2
5. c
6. d
7. a
8. a
9. d
10. d
Step-by-step explanation:
Three pears and four apples cost 1.60. four pears and five apples cost 2.05. find the cost of each pear and each Apple.
Answer:
use 2 variable for the problem. say pear=x apple=y.
3x+4y=1.6
Step-by-step explanation:
Ppz help due tomorrow
Answer:
I think it’s just option 1. Tell me if I was wrong.
Step-by-step explanation:
Someone, please help me with this
Answer:
C = (0, 6)
E = (7, 0)
F = (0, -7)
Step-by-step explanation:
Answer: F is (0,-7)
C is (0,6)
E is (7,0)
Step-by-step explanation:
What is 642 divided by 1083?
Answer:
.592 the full thing is .592797783934
Step-by-step explanation:
calculator
what is the slope of a line passing through the points (7,5) and (3,5)
Answer:
[tex]m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 5)
Point (3, 5)
Step 2: Find slope m
Substitute: [tex]m=\frac{5-5}{3-7}[/tex]Subtract: [tex]m=\frac{0}{-4}[/tex]Divide: [tex]m=0[/tex]Answer:
0/-4
Step-by-step explanation:
You would us the slope formula: [tex]\frac{y2-y1 }{x2-x1}[/tex]
so y2 is 5 and y1 is 5 so 5-5= 0
then x2 is 3 and x1 is 7 so 3-7= -4
so the slope is [tex]\frac{0}{-4}[/tex]
x2+4<0 in graphical
I won't be able to graph for you because I am currently on phone but I will tell how to graph an Inequality in coordinate plane.
[tex] {x}^{2} + 4 < 0[/tex]
We don't need to solve the Inequality. The graph will do.
We draw the parabola with the vertex at (0,4) Basically plot point (0,4) then draw parabola.
Because it is < sign, thus the shade/region will be below the graph.
So the shade will be outside of the curve and not inside.
What is the vertex of the absolute value function defined by f(x)=|x+2|+4?
a) (2,4)
b) (-2,4)
c) (-2,-4)
d) (2,-4)
Brainliest to correct answer.
Answer:
The Triangles are proportional
Step-by-step explanation:
This is because the difference in each triangle is that each one is adding one inch to each side
pls put me as brainiest
PLEASE HELP
Complete the proofs below using the most appropriate method, SSS or SAS.
7. Given: AM = CP, CM = GP, C is the midpoint of AG
Prove: A4CM = ACGP
G
M
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
answer
AM= CP-given
CM=GP-given
C is the midpoint of AG-given
AC=CG- definition of midpoint
ACM=CGP- SSS
The complete proof is as follows:
[tex]\mathbf{AM = CP}[/tex] -- Given[tex]\mathbf{CM = GP}[/tex] -- GivenC is the midpoint of AG -- Given[tex]\mathbf{AC \cong CG}[/tex] --- Definition of Midpoint[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSSThe given parameters are:
[tex]\mathbf{AM = CP}[/tex] [tex]\mathbf{CM = GP}[/tex] C is the midpoint of AGThis means that, the above statements would represent the first three blanks, and their respective reason is "Given"
Because of (3), above
4. [tex]\mathbf{AC \cong CG}[/tex] --- midpoint definition
(1), (2) and (4) imply that:
The three sides of both triangles are congruent by SSS
Hence, the last statement would be:
[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSS
Read more about mathematical proofs at:
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Plz help due tomorrow
Answer:
20 percent or 0.7 .
Step-by-step explanation:
On July 4, 2017, the United States of America had a population of 325.7 million people. The total land area of the United States is 3,535,932 square miles. What was the population density of the United States on July 4, 2017? Round to the nearest tenth.
The population density in the United States is D = 92.1 people/mi^2
How to get the population density?
To get the population density, we need to take the quotient between the total number of people and the area.
In this case, we know that the total population is 325.7 million, and the area of the United States is 3,535,932 mi^2
Then the population density:
D = (325.7 million)/( 3,535,932 mi^2) = 9.21*10⁻⁵ million/mi^2
And we know that 1 million = 1,000,000 = 1*10⁶
Then:
9.21*10⁻⁵ million/mi^2 = 9.21*10¹ people/mi^2 = 92.1 people/mi^2
This means that in each square mile in the United States, there are around 92.1 people.
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Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per hour. Michael and Landon worked a combined 14 hours and ironed 360 shirts. Graphically solve a system of equations in order to determine the number of hours Michael worked, ,x, and the number hours Landon worked, y.
I need two equations in y=mx+b form pls
Answer:
Michael worked 4 hours and Landon worked 10 hours.
Step-by-step explanation:
Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:
40x+20y=360
40x+20y=360
Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.
x+y=14
Write System of Equations:
40x+20y= 360
x+y=14
Solve for y in each equation:
40x+20y = 360 x+y = 14 20y = -40x+360
[tex]\frac{-20y}{20}[/tex] =[tex]\frac{-40x+360}{20}[/tex]
y = -2x+18
Your Assignment
Answer the questions to describe the transformations of figure ABCD.
1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell.
Write your answer in the space below.
2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain.
Write your answer in the space below.
3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know?
Write your answer in the space below.
4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.
Answer:
i don't have the answer but i can add the chart for thos who can answer the question
Step-by-step explanation:
Answer:
1. Reflection
2. rotation and reflection
3. b', b''
4. 26.3
Step-by-step explanation:
1. It is like looking in a mirror. Its is being reflected across the y axis
2. It is rotated 90 degrees to the right. Then reflected over the x axis.
3. they are the same
4. It is the same as A" B" C" D" so the lengths are the same and you just add them.
Step-by-step explanation:
When Kyra solved an equation, she ended up with x = 0. She stated that there was no solution. Is Kyra correct?
Answer:
x=0 does not mean no solution
Step-by-step explanation:
so kyra is incorrect
What is the equation of a line that has a slope of 2 and passes through point (-1, 7)?
Answer:
2x+9
Step-by-step explanation:
What is 1338384.444 x .8
Answer:
1070707.5552
Step-by-step explanation:
Answer:
10707075.552
Step-by-step explanation:
used a calculator because I'm way too tired to write this down...
A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles. The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees. The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
Answer:
Each base angle of one triangle is 54°
Step-by-step explanation:
Since the angles meeting in the center are congruent and all form 360° then it means each angle will be 360°/5 = 72°(since we have 5 angles).
Since they are all isosceles triangles, it means two base angles are equal and can be gotten by:
(180 – 72)/2 = 54°.
Each base angle of one triangle is 54°
The measure of a base angle of one of the triangles is 54°.
Given that,
A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.
A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles.
The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,
We have to determine,
What is the measure of the base angle of one of the triangles?
According to the question,
The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,
The angles meeting in the center are congruent and all form 360°.
then it means each angle will be,
[tex]=\dfrac{360}{5}\\\\= 72 \ degree[/tex]
There are 5 angles.
Therefore,
All isosceles triangles, it means two base angles are equal and can be,
[tex]=\dfrac{180-72}{2}\\\\=\dfrac{108}{2}\\\\=54[/tex]
Hence, Each base angle of one triangle is 54°
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A motorcyle was traveling down the interstate for 3.5 hours and went
297.5 miles, what was the average speed of the motorcycle driver?*
A. 85 mph
B. 87 mph
C. 90 mph
D. 93 mph
help please!?
Answer:
85 mph
Step-by-step explanation:
297.5 divided by 3.5