Gwen had 27 bites altogether. She had 15 on her legs and 12 on her arm
How to solve an equationAn equation shows the relationship between two or more numbers and variables.
Let x represent the mosquito bites on leg and y represent the bites on arms. She counted 5 mosquito bites on her legs for every 4 bites on her arms, hence:
x/y = 5/4
4x = 5y
4x - 5y = 0 (1)
Also, Gwen had 3 more mosquito bites on her legs than on her arms, hence:
x = y + 3 (2)
From both equations:
x = 15, y = 12
x + y = 15 + 12 = 27
Gwen had 27 bites altogether
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Ms. McCarty cuts 1/3 of a piece of construction paper. She uses 1/5 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?
Answer: 1 / 15 of the paper
Step-by-step explanation:
Ms. McCarty had 1/3 paper and then used a fifth of this to make a flower.
Find a fifth of 1/3.
= 1 / 3 * 1 / 5
= 1 / 15 of the paper
Write 10^4 as a product of the same factor
Answer:
1000?
10x10x10x10?
don't really get it, but prob the second one.
Answer:
100*100 or 100^2
Step-by-step explanation:
What is the y-intercept of 2x - 6 = 24?
Answer:
-30
Step-by-step explanation:
-6-24
=-30
...........
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)? (f + g)(x) 3 for all values of x (f + g)(x) 3 for all values of x (f + g)(x) 6 for all values of x (f + g)(x) 6 for all values of x
Answer:
The range of values of [tex](f + g)(x) \ge 3[/tex] is for all values of x [tex]-\infty[/tex] to [tex]+\infty[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x| + 9[/tex]
[tex]g(x) = -6[/tex]
Required
Describe the range of [tex](f+g)(x)[/tex]
First, calculate [tex](f+g)(x)[/tex]
[tex](f+g)(x) = f(x) + g(x)[/tex]
Substitute values for f(x) and g(x)
[tex](f+g)(x) = |x| + 9 -6[/tex]
Evaluate Like Terms
[tex](f+g)(x) = |x| + 3[/tex]
The above expression shows that [tex](f + g)(x) \ge 3[/tex]
Because [tex]|x| \ge 0[/tex]
Hence, the range of values of [tex](f + g)(x) \ge 3[/tex] is for all values of x [tex]-\infty[/tex] to [tex]+\infty[/tex]
My friend is telling me "6 2" is 12. But to my knowledge, 6x2, 6•2, 6(2), and (6)2 equal 12. Is my friend right or wrong?
Answer:
wrong
Step-by-step explanation:
Answer:
your friend is right and you are too your both right
I need help because I ain’t good at math ✋
Answer:
6x+4
Step-by-step explanation:
Answer:
Step-by-step explanation:
The area of a rectangle is the product of its side lengths. In this case
[tex]A=(2x+6)(3x-2)\\ \\ A=2x(3x)+2x(-2)+6(3x)+6(-2)\\ \\ A=6x^2-4x+18x-12\\ \\ A=6x^2+14x-12[/tex]
Oliver expects that the number of visitors to a museum(y) is related to the daily rainfall in mm(x). He plots a scatter plot and determines the equation for the line of best fit: y=14.1x+62.0 What is the expected number of visitors when the daily rainfall is 20 mm? Give your answer to the nearest integer.
Answer:
344 visitors
Step-by-step explanation:
Given that the relationship between the number of visitors to a museum(y) and the daily rainfall in mm(x) is defined as
y=14.1x+62.0
when the daily rainfall is 20 mm, the number of visitors
y = 14.1(20) + 62
= 282 + 62
= 344
It means that the expected number of visitors is 344 persons (to the nearest integer).
I need help ok I need to find the length of ab
Suppose f(x) = x2 and g(x) = Which statement best compares the graph of g(x) with the graph of f(x)?
Answer:
g(x) is horizontally stretched by a factor of 1/5
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
[tex]g(x) = (\frac{x}{5})^2[/tex]
Require
Determine the relationship between f(x) and g(x)
[tex]f(x) = x^2[/tex]
[tex]g(x) = (\frac{x}{5})^2[/tex]
Express g(x) in terms of f(x)
[tex]g(x)=f(\frac{x}{5})[/tex]
This can further be simplified as:
[tex]g(x)=f(\frac{1}{5}x)[/tex]
When a function is represented as:
[tex]g(x) = f(cx)[/tex]
Where c < 1,
Then the type of translation is a horizontal stretch (stretch in the x direction)
By comparison: [tex]g(x) = f(cx)[/tex] and [tex]g(x)=f(\frac{1}{5}x)[/tex]
[tex]c = \frac{1}{5}[/tex]
This means that: g(x) is horizontally stretched by a factor of 1/5
Krutika was thinking of a number. Krutika halves the number and gets an answer of 86. Form an equation with
x
from the information.
Answer:
soy español y no hablo ingles
A pharmacist filled a
prescription for Ana to
take 1/5 of the medicine
in the morning, 1/2
during lunch, and the
rest at night. How
much of the medicine
does she take at night?
Consider the line y = -7x+9.
Find the equation of the line that is parallel to this line and passes through the point (6, -4).
Answer:
The answer is a(7x+9)
Step-by-step explanation:
when will I have to use factoring in real life
ANSWER:
dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel.
There are 100 students in Craig's grade. 10 of the students are enrolled in health. What
percentage of the students are enrolled in health?
Answer:
10%
Step-by-step explanation:
10 out of 100 is 10%
Answer:
10
Step-by-step explanation:
number of students= 100
number of enrolled students = 10
percentage of enrolled students
100+ 10/100 %
= 10%
What is the value of x in the figure below? to 118° A. 28 B. 62 C. 90 D. 118
Answer:
D. 118°
Step-by-step explanation:
x = 118° { being corresponding angles }
Nijah saves $15 per week to purchase a video game system that costs $350. Which equation represents the amount of money, s, Nijah still needs to save after w weeks?
help plzzzzzzzzzzzz
In a fish tank, there are 9 bluefish and 7 redfish.
How many fewer redfish than bluefish are there?
Answer:
arkadaşlar bu şeyler
Türkçeye nasıl cevriliyor
Nolan invested $8,100 in an account paying an interest rate of 8 3/4% compounded quarterly. Carter invested $8,100 in an account paying an interest rate of 8 3/4% compounded annually. After 5 years, how much more money would Carter have in his account than Nolan, to the nearest dollar?
Answer:
I believe Nolan would have more money after 5 years, by $165
Step-by-step explanation:
Nolan:
A = 8100(1 + (.0875/4))^20
A = 12,486
Carter:
A = 8100 (1 + .0875)^5
A = 12,321
Answer:
61
Step-by-step explanation:
brainly said so lol
A camera has a listed price of $699.98 before tax. If the sales tax rate is 9.5, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Can you please help me
Each pair of triangles is similar Find the value of x
Answer:
x = 7
Step-by-step explanation:
You need to figure which sides correspond and set up the proportions
Labeling the vertices of the triangles would help you.
I did that and found that 5x - 15 ↔ 10 since both of those sides are opposite the 42° angles and 36 ↔ 18
So [tex]\frac{5x - 15}{10} = \frac{36}{18\\}[/tex]
18(5x - 15) = 10(36)
90x - 270 = 360
90x = 630
x = 7
6 1/4 - 2 5/6
SUBTRACTION, ROADBLOCK
Answer:
the answer will be -1/6
Step-by-step explanation:
firstly there will be a multiplication sign in between 6 and 1/4 and 2 and 5/6 which when, when we will calculate the answer is -1/6
Answer:
41/12
Step-by-step explanation:
Determine the dimensions of a rectangle whose area is 54 units2 and whose side lenghs are (x + 1) and (x – 2).
Answer-:
6 and 9
8 and 7
8 and -7
3 and 18
What is the measure of ∠BCE, in degrees, in the figure shown?
Answer:
25 degrees
Step-by-step explanation:
So a triangles angels equal 180 degrees
So for angel ECD 180 - (15+90) = 75
Straight lines also always equal to 180 degrees so
180 - (80+75) = 25
Measure of ∠BCE = 25° .
What is angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”.
Given, In figure,
∠CED = 15°
∠EDC = 90°
∠BCA = 80°.
In triangle ECD
Sum of all interior angles of a triangle is 180°
∠ECD +∠CED +∠EDC = 180°
∠ECD + 15° + 90° = 180°
∠ECD = 180° - 105°
∠ECD = 75°
Now,
∠BCA,∠BCE and∠ECD are at point C on line AD.
Sum of all angles made at one point of line is 180°.
∠BCA +∠BCE +∠ECD = 180°
80° + ∠BCE + 75° = 180°
∠BCE = 180° - 155°
∠BCE = 25°
Hence, 25° is measure of ∠BCE.
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1/4 greater less or equal to 1/8
Answer:
greater than
Step-by-step explanation:
Answer:
1/4 is greater than 1/8
Step-by-step explanation:
pls give brainlest
which figure is a translation of Figure A? explain. A translation, or slide, is a transformation that moves every point of a figure the same distance & the same direction.
Answer:
Figure B
Step-by-step explanation:
A translation does not "flip" the position of the pre-image. Figure C is a reflection of figure A.
A translation would "slide" the figure into a new position without mirroring nor rotating it.
Figure B should be the translation of Figure A.
Hope this helps.
Figure B is the translation of figure A by 2 units up.
What is the transformation of the graph?If a graph is translated and rotates by any amount either in x and y direction then it will be transfomation of the graph.
For example transformation of graph f(x) by 2 units down.
The new resultant graph could be only translated or rotated or both.
Given figure A
If we look at C then the face of this is towards the right but in figure A the face is towards the left.
So it means C will translate + rotation of graph A it will not be pure translation.
In figure B it is clear that it is a translation of figure A by 2 units upward.
Hence "Figure B is the translation of figure A by 2 units up".
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As a retiring employee, you'll receive 1.01% of your average salary from the last five years you worked with your company.
You plan to retire after 36 years with the company.
Your salaries for your last five years are:
$180,699
$90,404
$146,579
$83,468
$86,280
Calculate your annual retirement salary.
(make sure to round your answer to 2 decimal places - do NOT include a $ or commas in your answer)
Answer:
124,352.56
Step-by-step explanation:
How many more centimeters does 85m have than 78.9m? Please answer ASAP.
Inscribed angles
Please help!!!!!!!! With explanation!!!!!
Answer:
a = 72° b = 88°
Step-by-step explanation:
We know in the cyclic quadrilateral opposite angles are supplementary so
a + 108° = 180° { being opposite angles of cyclic quadrilateral }
a = 180° - 108°
a = 72°
b + 92° = 180° { being opposite angles of cyclic quadrilateral }
b = 180° - 92°
b = 88°