Let a and b = the numbers we must find.
a + 2b = 5.....Equation A
2a + b = 13.......Equation B
We have a system of equations in two variables.
I will solve A for little a.
a + 2b = 5
a = 5 - 2b
Now I will plug 5 - 2b for a in B.
2(5 - 2b) + b = 13
10 - 4b + b = 13
-3b = 3
b = -1
To find a, replace b with -1 in EITHER A or B.
I will use Equation A.
a + 2b = 5
a + 2(-1) = 5
a - 2 = 5
a = 7
The two numbers are -1 and 7.
Understand?
Dress:$35.99 tax:6.75%
Answer:
38.14 but if rounded up it becomes 38.15
A tree cast a shadow 21 meters long
The angle of elevation for the sun is 51 degrees
What is the height of the tree?
Step-by-step explanation:
I do not understand .____.
A researcher measured the length of several lizards she found in a field and recorded the data in the box plot shown below.
if each quadrilateral below is a rectangle, find the missing measures.
Answer:
Recall each angle in a rectangle is 90 degrees. So to find the other portion, subtract the given angle from the 90 degrees.
Step-by-step explanation:
The missing measures of the angles are as follows:
m∠BCD = 90°
m∠ABD = 16°
m∠CBE = 74°
m∠ADE = 74°
m∠AEB = 148°
m∠DEA = 32°
What is a rectangle?A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.
here, we have,
to determine the measures of the angles:
The figure that completes the question is added as an attachment
From the figure of the rectangle, we have:
m∠BDC = 16°
A rectangle has four (4) interior angles that are 90 degrees each.
This means that
m∠ADE = 90 - 16
m∠ADE = 74°
Also, we have:
m∠ABD = m∠BDC = 16° by the alternate interior angles
By the complementary angle, we have:
m∠CBE = 90 - 16 = 74°
By the alternate interior angles, we have
m∠ADE = m∠CBE = 74°
Solving further, we have the following equations:
m∠AEB = 180 - 2(16)
m∠AEB = 148°
m∠DEA = 180 - m∠AEB
m∠DEA = 180 - 148
m∠DEA = 32°
Hence, the measure of the angle DEA is 32 degrees
m∠BCD = 90°
m∠ABD = 16°
m∠CBE = 74°
m∠ADE = 74°
m∠AEB = 148°
m∠DEA = 32°
Read more about rectangles at:
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Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get
1/8
1/4
1/2
4
Answer:
1/4
Step-by-step explanation:
its kinda hard to
explain
Select the correct answer.
A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
A.
$1.80
B.
$0.85
C.
$0.60
D.
$0.40
E.
$0.30
Answer:
C.$0.60
hope this help!!!!!!!!!!!!!!!!!!!!!!
Jenny's great grandmother is 95 years old.
Jenny is 12 years old.
What percent of Jenny's great grandmother's age is Jenny's age?
Hurry! Worth a lot of points!
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
The answer is 8
x=3
4^3/2^3=8
Joseph removes 5/8 gallon of white paint from a can.
Then he adds 5/8 gallon of blue paint to the can.
Write and evaluate an addition expression to find
the overall increase or decrease in the amount of
paint in the can.
Create the expression from the data:
The gallon of paint begins as a whole: 8/8
Then he removes 5/8 gallons of paint from the can: - 5/8
Then he adds 5/8 of a different colored paint to the can: + 5/8
Now combine:
8 / 8 - 5 / 8 + 5 / 8 = 8/8
The paint can is full, then he removes an amount from the can. He then pours more paint into the can that is equal to the amount he originally removed. Therefore, the paint can remained full.
pleaseeee help??????
a rectangular parking lot has a perimiter of 500 feet and a width of 100 feet. find the lenght of the parking lot be sure to show all four steps
Answer:
50,0
Step-by-step explanation:
So we know 500×100=50,000
So it's 50,000
Lena ran in a 340-meter race.About how many feet did she run?
Answer:
1115.49 feet
Step-by-step explanation:
To convert meters to feet, multiply 340 meters by 3.281 because there are approximately 3.281 feet in 1 meter.
340*3.281= 1115.49
HELP PLSSSS ILL REWARD BRAINLIEST!!!
will give brainliest Select the correct locations on the graph
Select the lines that represent functions.
Answer:
b,c
Step-by-step explanation:
hello, the answer to this is / and ----- or b and c I got this right on my test :)
what is the answer to (x-2)^5 ?
Answer:
x² - 4x + 4
Step-by-step explanation:
(x -2)(x - 2)
x² - 2x - 2x + 4 Expand using FOIL.
x² - 4x + 4 Simplify.
5 : 1/3 in its simplest form
Answer:
15 : 1
Step-by-step explanation:
5 : 1/3
Multiply both numbers in the ratio by 3.
5 × 3 : 1/3 × 3
15 : 1
[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]
ok done. Thank to me :>
what triangle does the pythagorean theorem relate to
Answer:
Right Triangle
Step-by-step explanation:
I hope this helps!
estimate the area of the following irregular shapes
will give brainliest
Answer: You need to count how many squares are shaded(at least half of it), therefore the area is 32 square units.
14b = −56
i need help figuring out what this is i'm doing it but i keep getting it wrong please help
Answer:
-4
Step-by-step explanation:
14b = -56
divide by 14
-56 ÷ 14 = -4
b = -4
I hope this helps!
Answer:
b = -4
Step-by-step explanation:
[tex]14b = -56\\\\rule{150}{0.5}\\\frac{14b=-56}{14}\\\\ \boxed{b = -4}[/tex]
Hope this helps.
Pls answer these two questions
Answer:
1. C
2. C
Hope This Helps!!!
Help me please just help I need help rn like rn
Answer:
i.900
j.6
k.8
l.0
Step-by-step explanation:
hope this helps you ;)
You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children, you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Answer:
adults 15 and children 9
Step-by-step explanation:
Anthony sold 45 tickets to the school play and Katy sold 40 tickets. What is the ratio of the number of tickets Anthony sold to the number of tickets Katy sold? A 9:8 B 40:45 C 5 to 8 D 8 to 9
Answer:
the answer to your question is B 40:45
Step-by-step explanation:
4x + 5y = 18.5
2x + 4y = 13
Work out the values of x and y.
Answer:
x = 1.5 , y = 2.5
Step-by-step explanation:
4x + 5y = 18.5 → (1)
2x + 4y = 13 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 4x - 8y = - 26 → (3)
add (1) and (3) term by term to eliminate x
- 3y = - 7.5 ( divide both sides by - 3 )
y = 2.5
Substitute y = 2.5 into either of the 2 equations and solve for x
Substituting into (1)
4x + 5(2.5) = 18.5
4x + 12.5 = 18.5 ( subtract 12.5 from both sides )
4x = 6 ( divide both sides by 4 )
x = 1.5
HELP ! Will give brainliest
Answer:
look it up thats what i do
Step-by-step explanation:
Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
The expression that can be used to approximate the expression below is[tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Given the logarithmic function expressed as [tex]log_a x[/tex], we need the log expression that is equivalent to the given expression.To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;[tex]log_a x = \frac{log_{10}a}{log_{10}x}[/tex]
This is similar to the option c where the base of "b" was used as [tex]log_a x = \frac{log_{b}a}{log_{b}x}[/tex]
Learn more on law of logarithms here: https://brainly.com/question/11587706
Answer: C
Step-by-step explanation:
If you don't want to read it all
A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.
What is the solution to the system of equations?
A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)
Step-by-step explanation:
the answer I think D should be
Answer:
The answer is (2,0)
Step-by-step explanation:
We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).
For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.
As we can tell it crosses over points (2,0) making this equation having exactly one solution.
Making the correct awnser D; (2,0)
What is the slope of the line that passes through the point (-4,-4)and (6,4)?
Answer:
slope = 0.8
Step-by-step explanation:
HOPE THIS HELPS :)
if the discriminant is negative how many solutions are there
Answer:
no real solutions
Step-by-step explanation:
If it is a quadratic equation, there are always two solutions, regardless of the value of the discriminant.
When the discriminant is negative there are no real solutions, but there are two complex solutions.
A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km? [1 mile = 1. 6 km] 0. 04 0. 08 0. 20 0. 42.
The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
Given that,
A motorcycle can travel 60 miles per gallon.
We have to find,
How many gallons of fuel will the motorcycle need to travel 40 km?
According to the question,
The motorcycle travel 60 miles per gallon,
The motorcycle travels 40 km,
To convert it into kilometers 60 miles per gallon.
[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]
Therefore,
The gallons of fuel will the motorcycle need to travel 40 km is,
[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]
Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.
For more details refer to the link given below.
https://brainly.com/question/13108874