We must write and solve a system of equations to see how many of each type of coin Carlos has.
The answer is:
There are 19 pennies.There are 19 dimes.There are 8 quarters.We start by defining the variables:
x = number of pennies in the box.y = number of dimes in the box.z = number of quarters in the box.We know there are 46 coins in total, thus:
x + y + z= 46
The number of pennies and dimes is the same, thus:
x = y
The total value of the coins in the box is $4.09, then:
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
So we can write the system of equations:
x + y + z= 46
x = y
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
First, we can replace x by y in the first and third equations (by using the second one) to get:
2y + z = 46
y*$0.11 + z*$0.25 = $4.09
Now we can isolate z in the first equation to get:
z = 46 - 2y
And replace that in the other equation:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
Now we can solve the equation for y:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
y*$0.11 + $11.50 - y*$0.50 = $4.09
y*($0.11 - $0.50) = $4.09 - $11.50
y*(-$0.39) = -$7.41
y = (-$7.41)/(-$0.39) = 19
if y = 19, then x = 19
By using the first equation:
x + y + z = 46
19 + 19 + z = 46
z = 46 - 19 - 19 = 8
We can conclude that:
There are 19 pennies.There are 19 dimes.There are 8 quarters.If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13997560
(3 questions for 40 points)
7. Given XPS = DNF, find the values of x and y
8. Given MTW = BGK, find the values of x and y
9. Given PRS = CFH, find the values of x, y, and z
PLS HELP
Identify the range and domain of the function y=ln(x6).
The domain is {x ∈ R : x ≠ 0} (where R is the set of all real numbers), since x⁶ is a non-negative number for all real numbers x.
The range is R or the interval (-∞, ∞).
"the product of negative three and x"
What is the measure of angle L
Answer:
∠L=23°
Step-by-step explanation:
(6x-5)+(x+9)=(9x-24) (ext angle of triangle)
6x-5+x+9=9x-24
7x+4=9x-24
7x-9x=-24-4
-2x=-28
2x=28
x=28÷2
=14
Hence, ∠L = (x+9)°
= (14+9)°
= 23°
Martin had 7 pounds of grapes left, and he gave away 2
5
of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
#Nova
Answer: 2/5 is closer 1/2. and it is easy to find half of 7 mentally. Half of 7 is 3.5, so Martin gave away about 3.5 pounds away.
It takes Sam half an hour to design a tower on
paper and it took him 2 and 1/6 hours to build
his lego structure. How many hours long will it
take him to build and design three towers?
Answer:
0.5+2 1/6 * 3=1.5+6 1/2 =8h
Six children collect 45 pencils. 20% of the pencils need sharpening. How many pencils need
sharpening?
Answer:
9
Step-by-step explanation:
45*2/10=45*1/5=9
Answer:
9
Step-by-step explanation:
Can someone help me please find the perimeter
Answer:
8x + 9
Step-by-step explanation:
Perimeter is the sum of all sides:
2x + x+8 + 5x+1 = 8x + 9
There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?
Answer:
704 students can fit in the cafeteria a day
What is an equation of the line that passes through the points (0, 0) and (- 4, - 5) ?
Answer:
y=5/4x
Step-by-step explanation:
(A fraction)
How do I simplify 12+2c+6d-8c+d
Hello there! :)
12+2c+6d-8c+d
Combine like terms:
2c-8c+d+6d+12
-6c+7d+12
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
The simplified equation will be 12+7d-6c. By adding the same terms the equation can be simplified.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
The given equation is;
12+2c+6d-8c+d
By adding the same terms the equation can be simplified;
[tex]\rm 12+2c+6d-8c+d \\\\ 12+7d-6c[/tex]
Hence the simplified equation will be 12+7d-6c.
To learn more about the simplification refer to the link;
https://brainly.com/question/23509407
(10,4) and (14,2) slope
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\textsf{Slope of: (10,4) (14,2) }[/tex]
[tex]\mathsf{Formula: m = \dfrac{y_2 - y_1}{x_2- x_1}}[/tex]
[tex]\textsf{Whereas }\downarrow[/tex]
[tex]\mathsf{y_2 = 14}[/tex]
[tex]\mathsf{y_1 = 10}[/tex]
[tex]\mathsf{x_2 = 2}[/tex]
[tex]\mathsf{x_1 = 4}[/tex]
[tex]\huge\boxed{\mathsf{EQUATION: \dfrac{14 - 10}{2 -4 }}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow\dfrac{4}{-2}}}[/tex]
[tex]\huge\boxed{\mathsf{\rightarrow-2}}[/tex]
[tex]\huge\boxed{\textsf{Therefore, your answer should be: \boxed{\mathsf{-2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Point P has coordinates (-2.5,3). Point Q is a reflection of point P across the x-axis. What are the coordinates of the point Q? Which quardrant is it in?
Answer:
Q = (-2.5, -3), quadrant 3
Step-by-step explanation:
Reflection across the x-axis changes the sign of the y-coordinate.
Q = (-2.5, -3)
With two negative coordinates, point Q is in Quadrant III.
_____
Additional comment
Point P has a negative x-coordinate and a positive y-coordinate, so is located northwest of the origin in Quadrant II. The quadrant that is southwest of the origin is Quadrant III, which is where points in Quadrant II are reflected to when they are reflected across the x-axis.
The height above the ground, h, in feet, of a bullet fired upward is given by the formula
h = −162 + 80 + 224. Find the number of seconds after being fired the bullet hits the ground.
Answer:
After 7 seconds it hits the ground.
h= -16^2 + 80x + 224
(I'm assuming this is what you meant, because these problems are generally quadratic)
Use quadratic formula to find when it hits the ground (get zeros)
x = -2, x = 7
After 7 seconds it hits the ground.
3(4-k)=-3(1-k)-k solve for k
Tom has 12 cards with the numbers 1 to 12 on them.
He selects one card at random.
Find P(5 or 8).
[tex]\frac{x}{y}[/tex]
Answer:
pls mark me
Step-by-step explanation:
As there are no 12 cards in a standard pack the probability is zero.
Please help me!!!
Look at photo for question
(I accidentally selected an answer and i can’t unselect it)
Answer:
B is the answer.
x = 1
y = 2
Step-by-step explanation:
In B, Multiply the second equation by 2
8y - 2x = 14
Now add the first and the equation above.
8y - 2x = 14
3y +2X = 8
11y = 22
Divide by 11
11y/11 = 22/11
y = 2
Use the given equation #2
4y - x = 7
4*2 - x = 7
-x = 7 - 8
-x = - 1 Multiply by - 1
-1*x = -1*-1
x = 1
There is currently 9 inches of snow on the ground.
With the thunderstorms today the snow will melt at
a rate of 1.5 inches per hour.
1. Write an equation to represent this situation
2. What do the slave and y-intercept mean
3. After how many hours would all the snow be melted
4. Make a table of this situation to show when all the snow would be melted
Answer:cold weather pose, there are armies that have and can conduct large-scale, ... to one inch (2.5 centimeters) per hour accumulates.
Step-by-step explanation:
Answer:
1.5 × ? = 9
9÷1.5 = 6
so the answer would be 6 hours
Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.
Answer:
whaat?
Step-by-step explanation:
In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?
Answer:
The measure of ∠A = 107.5°
Step-by-step explanation:
Given that
ABCD is a kite such that
AB = BC and AD = DC
Join A and C
Since AB = BC
→ ∠BAC = ∠BCA
Since , the angles opposite to equal sides are equal.
Let ∠BAC = ∠BCA = x°
and
Since AD = DC
→ ∠CAD = ∠ACD
Since , the angles opposite to equal sides are equal.
Let ∠CAD = ∠ACD = y°
Now
In ∆ ADC ,
∠ADC + ∠CAD + ∠ACD = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 30° + y°+ y° = 180°
⇛ 30°+2y° = 180°
⇛ 2y° = 180°-30°
⇛ 2y° = 150°
⇛ y° = 150°/2
⇛ y° = 75°
Therefore, ∠CAD = ∠ACD = 75°
and
In ∆ ABC,
∠ ABC + ∠BAC + ∠BCA = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 115° + x° + x° = 180°
⇛ 115°+2x° = 180°
⇛ 2x° = 180°-115°
⇛ 2x° = 65°
⇛ x° = 65°/2
⇛ x° = 32.5°
Therefore, ∠BAC = ∠BCA = 32.5°
Now, ∠ A = ∠BAC + ∠CAD
⇛ ∠A = 32.5° + 75°
⇛ ∠A = 107.5°
Therefore, ∠A = 107.5°
Answer:-
) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°Read more:
Similar Questions
ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.
https://brainly.com/question/22571892?referrer
Is it possible to make a triangle with sides lengths of 12, 16 and 20? If the answer is yes, is the triangle a right triangle?
Answer: Yes it can form a triangle and its a right triangle.
Step-by-step explanation:
Using the Pythagorean theorem we can see that the longest side (20) is our hypotenuse. From there you just check if its true. :)
Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have
Answer:
Your anwser would be
5.45454545455
Step-by-step explanation:
since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545
Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.
How many bagels can you buy for $50?
Answer: about 120??
Step-by-step explanation: pls leave a thanks if helped <3
Answer: 120 bagels
Step-by-step explanation:
$50/$5 = 10 dozens of bagels
10 dozens x 12 = 120 bagels in total
Seven friends each bought a movie ticket for $14.95, popcorn for $6.99, and a drink for $2.25. How much did the friends spend in all?
Answer:
$169.33
Step-by-step explanation:
Each of the friends spent ...
$14.95 +6.99 +2.25 = $24.19
The seven friends together spent ...
7($24.19) = $169.33
Hello, may I ask? uh, what is the formula for finding the mark up rate? original price and mark up price is given.. thank you!
Step-by-step explanation:
Let original price is C and mark up price is M.
The rate would be the percent change:
r = (M - C)/C*100%Bert and Ernie own 20 rubber duckies total. If Bert owns 8 rubber duckies, how many does Ernie own?
Answer:
Ernie earns 12 rubber duckies
Step-by-step explanation:
20-8=12
Write each phrase as a numerical or algebraic expression. 189 subtracted from t
Answer:
t-189
Step-by-step explanation:
the slope of the line that passes through the points (-6,-4) and (-12,-4)
Answer:
The slope is 0
Step-by-step explanation:
Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:
A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.
In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.
Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.
Read more: https://brainly.com/question/22851088
parallel perpendicular or neither