Answer:
Step-by-step explanation:
Let the number of 5-cent coins he has be x and the number of 10-cent coins he has be y
x coins + y coins = 157 coins
(x × 5)cents + (y × 10)cents = $10
These two equations are true about the money he has, i.e
x + y = 157
5x + 10y = 1000
(We made the $10 into 1000 cents because the coins are in cents)
We can solve the above equations either simultaneously or through substituting.
Simultaneously:
(x + y = 157) × 5
5x + 10y = 1000
5x + 5y = 785
5x + 10y = 1000
Subtract the co-efficients in the equations
0x + -5y = -215
-5y = -215
y = 43
This means he has 43 10-cent coins.
PS: We get the number of 5-cent coins by subtracting 43 from 157, the total number of coins he has.
Substituting:
x + y = 157
5x + 10y = 1000
y = 157 - x
5x + 10(157 - x) = 1000
5x + 1570 - 10x = 1000
-5x = -570
x = 114 coins
157 - 114 = 43 coins
Thus there are 43 10-cent coins.
Answer:
46
Step-by-step explanation:
You would have 46 10-cent coins. First split it up into dollars, there are $10 and 10 dimes in each dollar. So if James has 157 coins you would need to first see how many coins he has in total. In total there are 100 dimes. We need to get to 157 coins so we'll need to break up some of the coins. So we keep turning the dimes into nickels until we get the number 157 for all the coins in total. So James has 46 10-cent coins.
help................
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y=2x-3
y=-2x + 5
A. (-2,-7)
B. (2,-3)
C. (-2,5)
D. (2,1)
2x-3 = -2x + 5
4x = 8
x = 2
y = 2*2 - 3 = 1
(2 ; 1)
you have to draw the 2 lines
the solution will be the intersection point of the 2 lines
Answer:
[D] (2,1)
Step-by-step explanation:
Given;
y=2x-3
y=-2x + 5
Solve;
y = 2x - 3 . . . [Equation 1]
y = -2x + 5 . . . [Equation 2]
[Equating 1 and 2]
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1
Solution = (2, 1)
Hence, Answer = [D] (2,1)
~Learn with Lenvy~
Ifa=12 and 120% of a is equal to 80% of b, then what is
a+b?
Rsm question
Answer:
a + b = 30
Step-by-step explanation:
If we convert the percentages to decimals (120% = 1.2 & 80% = 0.8), we can use this equation to find B: 1.2A = 0.8b
Since we know a, we then have 1.2 * 12 = 0.8b
Solving for B gives us b = 18
12 + 18 = 30
-
?% of $8,000,000 = $1,600,000
Answer:
20%
Step-by-step explanation:
To solve, we can calculate how much 1,600,000 is of 8,000,000 as a decimal and then solve from there.
Let's say our missing value is x.
x of 8,000,000 = 1,600,000
"x of something", in this case, can be rephrased as "x * something", so we have
x * 8,000,000 = 1,600,000
divide both sides by 8,000,000 to isolate x
x = 1,600,000/8,000,000 = 0.2
to convert from a decimal to percentage, multiply by 100
0.2 * 100 = 20
20% is our answer
 find the gradient of the line y=6x+4
Answer:
[tex] m = \frac{y2 - y1}{x2 - x1} [/tex]
therefore: m=6
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
A Trinomial expression has 3 terms.
If it has degree 2, then the exponent of the leading term will be 2.
If the leading coefficient is -5, then the leading term will be [tex]-5x^2[/tex]
Written in standard form: [tex]y=-5x^2+bx+c[/tex]
We are not given any information about the coefficients of the remaining two terms, so we can substitute any values for these:
Therefore, [tex]y=-5x^2+3x+2[/tex]
Note the standard form
ax^2+bx+c=0Here we have
a=-5So
the expression is
-5x^2+4x+2=0Mr. Liaw's ceramic mug has a volume of 60, but a radius of 2 inches the ceramic mug?
Answer:
➡Heigth = 4.77in
Step-by-step explanation:
➡Volume = [tex]\pi × r^2[/tex] × H
➡[tex]60 = 3.14 × 2^2 × H[/tex]
➡[tex]60 = 3.14 × 4 × H[/tex]
➡[tex]H = \frac{60}{3.14 × 4} \approx \bf 4.77in[/tex]
I hope this helps!
2/9 of the students in a school are in sixth grade. How many students are in the school if 54 of them are sixth graders?
Answer:
243
Step-by-step explanation:
Let s be the number of students in the school
2/9 of the students are in 6th grade
2/9 *s = 54
Multiply each side by 9/2
9/2 * 2/9 * s= 54 * 9/2
s =243
Please help me with these questions in algebra 1 and show work:
Answer:
I’m not gonna show you a graph but these instructions should help…
For the first equation.
You have
5y = -3x + 15
So we have to put it in y=mx + b format.
We can isolate y.
Divide 5 on both sides.
y = -3/5 x +3
You have your equation right htere.
The y intercept (b) here is 3 following the format y=mx +b
So now you plot a point on (0,3) since thats your Y- intercept, first point of contact on the y axis. Now for the slope. Slope goes by rise / run. Think of it as you get out of bed, you have to get up first before you run off to whatever you do.
Now you can just follow the instructions give, -3/5 is -3 rise and 5 run. Since a -3 rise is going down, we do down since its a negative slope here.
Starting from (0,3) you go down 3 units, then at that point go to the RIGHT 5 units. You should have a plotted point on, (5,0). Now following the postulate, if two lines exists in a plane that a line is created, draw a line using the 2 points from (0,3) to (5,0). (Draw throguh the whole thing, not segment and make sure it fills up the whole coordinate plane)
That is your equation.
For the second equation its the same thing, but this time it’s an inequality.
It’s the same gist and the equation is already simplified due for you!
Start on the y- intercept which is -2, or (0,-2)
Now since it’s a positive slope, because its 1/2, rise 1, run 2. From (0,-2) rise up 1 and then run two units to the RIGHT.
You should end up with, (2, -1)
Construct a line throught he two points (not segment line, fill the whole plane).
Now since its an inequality, we don’t stop there.
It’s a less then sign so when constructed the line that fills the whole plane.
You have to shade the bottom RIGHT of your screen that has a line throguh it.
So basically a line is made though two points and you have the whole plane covered. Shade in the bottom part WITHOUT crossing over the line.
What could be the next line in the solution of the equation 3 (x - 2) = 15 ?
factors of 4p^2 - 9q^2 are
Answer:
(2p + 3q)(2p - 3q)
Step-by-step explanation:
This is of the form :-
a² - b² = (a + b)(a - b)4p² - 9q² = (2p + 3q)(2p - 3q)
Answer:
(2p+3q) (2p-3q)
Step-by-step explanation:
[tex]4p^2-9q^2[/tex]
[tex]4p^2=(2p)^2[/tex]
[tex]4p^2=(3q)^2[/tex]
[tex]=\left(2p\right)^2-\left(3q\right)^2[/tex]
[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
[tex]\left(2p\right)^2-\left(3q\right)^2=\left(2p+3q\right)\left(2p-3q\right)[/tex]
[tex]=\left(2p+3q\right)\left(2p-3q\right)[/tex]
Answer = [tex]\left(2p+3q\right)\left(2p-3q\right)[/tex]
~Learn with Lenvy~
Please Help!
Which system of equations does this graph represent?
Linear graph and parabola. They intersect at negative 1, negative 5 and 2, negative 2
Group of answer choices
y = x2 − 6
y = −x − 4
y = x2 + 6
y = x + 4
y = x2 + 4
y = −x + 4
y = x2 − 6
y = x − 4
An explanation would also be appreciated!
Answer:
y = x^2 - 6 and y = x - 4
Step-by-step explanation:
It's x^2 - 6, because the parabola was moved 6 down, and positive slope, so in the linear, x is positive
Which economic indicator is the measure of all goods and services produced within a given economy in one year?
A. trade deficit
B. trade surplus
C. gross domestic product (GDP)
D.purchasing power parity (PPP)
Plzzz hurry!! I will give 20pts but DON’T GUESS!!!!!!
Answer:
C
(GPD)
Step-by-step explanation:
E D G E 2 0 2 0
Gross domestic product is the economic indicator to measure of all goods and services produced within a given economy in one year
What is Economic indicator ?An economic indicator is a statistic about an economic activity. Economic indicators allow analysis of economic performance and predictions of future performance.
We need to find the which economic indicator is the measure of all goods and services produced within a given economy in one year.
A trade deficit occurs when a country imports more than it exports
A trade surplus is an economic measure of a positive balance of trade, where a country's exports exceed its imports.
GDP measures the monetary value of final goods and services—that is, those that are bought by the final user—produced in a country in a given period of time
Hence, gross domestic product is the economic indicator to measure of all goods and services produced within a given economy in one year
To learn more on economic indicator click:
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A membership for a music streaming company is $15 per month. Which graph best represents y, the total cost for x months of music?
The graph that best represents the total cost for X months of music would be 15X = Y.
EquationsGiven that a membership for a music streaming company is $15 per month, to determine which graph best represents y, the total cost for x months of music, the following equation must be performed:
15 = costcost x months = total cost15X = YTherefore, the graph that best represents the total cost for X months of music would be 15X = Y.
Learn more about equations in https://brainly.com/question/26678239
PLEASEE HELPP!!! 30 POINTSSS
A landscape plan includes a rectangular flower bed that is surrounded the wood planks. In the drawing, the
rectangular flower bed is 4 in. by 5 in. The length and width of the actual flower bed will be 30 times larger
than the length and width in the drawing.
(a) What is the perimeter of the drawing? Show your work.
(b) What is the perimeter of the actual flower bed? Show your work.
(c) What is the effect on the perimeter of the flower bed with the dimensions are multiplied by 24? Show
your work.
Answer:
Answer:
im not entirely sure if its correct but
A: 384 in.
B: 1040 in. = 86 ft
C: The perimeter for the actual flower bed is converted into feet because the dimensions are multiplied by 26 inches.
On a coordinate plane, a triangle has points A prime (1, 2), B prime (3, negative 3), C prime (negative 1, negative 3).
Triangle ABC was translated according to the rule
T4.5, –6.2(x, y) to form A’B’C’ as shown. What are the coordinates of point C of the pre-image?
(3.5, –9.2)
(–2.7, –4.7)
(–5.5, 3.2)
(0.7, –1.3)
Answer:
(-5.5, 3.2) or the third option
Step-by-step explanation:
i did the test on edg
Answer: C: (-5.5, 3.2)
Step-by-step explanation: correct answer on edg2020. i took the quiz
Mercury has a mass of 3.30 * 10 23 kg.
Mars has a mass of 6.42 x 10 23 kg.
How many times more massive is Mars than Mercury?
51x 10 23 kg
51
1.95 10 23 kg
1.95
Answer:
Option (4)
Step-by-step explanation:
Mass of Mercury = 3.3 × [tex]10^{23}[/tex] kg
Mass of Mars = 6.42 × [tex]10^{23}[/tex] kg
Therefore, ratio of the masses of Mars and Mercury = [tex]\frac{6.42\times 10^{23} }{3.30\times 10^{23}}[/tex]
= 1.95
[tex]\frac{\text{Mass of Mars}}{\text{Mass of mercury}}=1.95[/tex]
Mass of Mars = 1.95 × (Mass of Mercury)
Therefore, mass of Mars is .95 times more than Mercury.
Option (4) will be the answer.
What is y = -2x - 2/7 in standard form?
Answer:
14x + 7y= -2
Step-by-step explanation:
y + 2x = -2/7
↓
7y + 14x = -2
↓
14x + 7y = -2
Which system models this situation? h = 3t 10 and h = -16t2 15t 6 10t 3 and h = -16t2 6t 15 -16t2 3t 10 and h =-16t2 15t 6 -16t2 10t 3 and h = -16t2 6t 15.
The system of equations that model this situation are [tex]h = -16t^{2}+15t +6[/tex] and [tex]h = 3t +10[/tex].
As we know,
Projectile motion formula,
[tex]h = -16t^{2}+vt +h_{0}[/tex].....(1)
Where, t = time since the measuring tape was thrown.
h = height in feet above the ground.
What is a projectile motion?Projectile motion is a form of motion experienced by an object or particle that is projected near the Earth's surface and moves along a curved path under the action of gravity only.
It is given that:
v =15 feet/sec
h₀ = 6 feet
So, (1) will become,
[tex]h = -16t^{2}+15t +6[/tex]
Also, h = distance of worker's arm from the ground + speed of bucket * time(t)
[tex]h = 3t +10[/tex]
Therefore, the system of equations that model this situation are [tex]h = -16t^{2}+15t +6[/tex] and [tex]h = 3t +10[/tex].
To get more about projectile motion visit:
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Answer:
A is the answer
The next is also A
Step-by-step explanation:
Proof:
Write the equation of the inequality graphed to the right:
Answer:
The answer to that equation might be (1,2)
5
The volume of a cone is 1.782 cubic centimeters. A cylinder has the same radius and height as the cone. What is the volume of the cylinder?
Answer:
the answer of the question is 2.5
marco says the length of his desk is 0.85 meters Jason says
Answer:
Step-by-step explanation:
What Is 0.85 meters. 0.819 meters
Answer:Jason says what
Step-by-step explanation: we need the rest of the answer
How can you tell if all the points if a linear equation are graphea correctly?
Answer:
lol
Step-by-step explanation:
Answer:
They will line up.
Step-by-step explanation:
When you graph their slopes, they will create a straight line.
which point on the number line represents the product (-4 )(-2)(-1)
Answer:
Shown in the image
Step-by-step explanation:
The number line
It's a graphic representation of the real numbers, usually centered at the value 0 and where the positive numbers running to the right, the negative numbers running to the left.
The product (-4)(-2)(-1) can be operated by multiplying the signs apart from the magnitudes. Recall an odd number of negative signs results in a negative number:
(-) * (-) * (-) = -
The product of the magnitudes is 4*2*1=8. Thus the result is -8.
The representation of this number is shown in the image below.
Answer:
Point A is your answer. ..
PLEASE HELP!! YOU'LL GET BRAINLIEST IF CORRECT!
Which equation represents a nonproportional relationship?
A y = 1/3x
B y = 3x + 0
C y = 3x + 5
D y = −3x
is there NONE OF THESE ABOVE option?
The angle measures 26°, 54°, and 154° are written on the slips of paper. You choose two slips of paper at random.
Help pleaseee. Picture attached
Answer:
.....I think it would be A.....
not 100% sure
What is 20 - 15 x 2026 - 265 + 125
Hey there!
Do PEMDAS to solve.
PEMDAS simply means….
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~|~
20 - 15 * 2026 - 265 + 125
≈ 20 - 30,390 - 265 + 125
≈ -30,370 - 265 + 125
≈ -30,635 + 125
≈ −30,510
Therefore, your answer is: -30,510
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
-30,510
Step-by-step explanation:
first multiply -15 and 2026
then you can add 125 or subtract everything before it and then add it to your result, if you need me to evaluate let me know
By graphing the system of constraints find the values or x and y that maximize the objective function, find the maximum value.
2x+y= 0
y=>0
Maximize for P=x+2y
A) P=100
B) P=200
C) P=400
D) P=550