Answer:
65
Step-by-step explanation:
I'm not completely sure if this is correct but this is what I got:
cherry candies: c ; grape candies: g
the ratio of the cherry candies to the grape candies is 3:5 so c/g=3/5 so c=3/5g
when you eat 1 cherry candy and half of the grape candies the ratio becomes (c-1)/(g/2)=7/6
I used substitution so now it becomes (3/5g-1)/(g/2)=7/6 if you solve this g will equal to 60. This number means that there was 60 grape candies originally. With this, you can solve for the number of cherry candies that you originally had (which is 36 because the ratio is 3:5)
so now you halve the number of grape candies which is 30 and take one off from the cherry candies which is now 35 (cherry:grape = 7:6 = 35:30)
there are now 65 candies altogether
A ratio shows us the number of times a number contains another number. The total number of candies that are left in the bag is 65.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of cherry candies to grape candies in a bag is 3:5. Therefore, we can write the ratio of the cherry to grapes as,
Cherry / grapes = 3/5
Multiply both the numerator and the denominator of the ratio with x,
Cherry / grapes = 3x/5x
Therefore, the number of Cherry and grapes in the initial was 3x and 5x, respectively.
Further, it is given that your friend eats half of the grape flavored candies and only one cherry flavored candy, the ratio of cherry to grape candies is 7:6. Therefore, we can write the ratio as,
[tex]\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7}{6}[/tex]
Now, to get the real numbers we can write,
[tex]\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7}{6} \times \dfrac{y}{y}\\\\\dfrac{3x - 1}{\frac{5x}{2}} = \dfrac{7y}{6y}[/tex]
Thus, we got two equations,
3x - 1 = 7y
5x/2 = 6y
Solving the second equation for x,
5x/2 = 6y
5x = 12y
x = 12y/5
Substitute the value of x in the first equation,
3x - 1 = 7y
3(12y/5) - 1 = 7y
y = 5
Furthermore, the total number of candies can be written as,
6y + 7y
= 6(5) + 7(5)
= 30 + 35
= 65
Hence, the total number of candies that are left in the bag is 65.
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I will mark Brainliest please help
Answer:
f(x) = 2
Step-by-step explanation:
f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.
We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).
As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.
Then we have have to find the slope which can be found by using the following formula.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Now we have to choose two different points from table and let the one that has bigger x value be represented as [tex](x_{2} , y_{2} )[/tex] and the other one will be represented as [tex](x_{1}, y_{1} )[/tex]. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{2 -2}{2-1} = \frac{0}{1} = 0[/tex]
Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....
f(x) = mx + b
f(x) = 0x + 2
f(x) = 2
Reason Abstractly The inequalities 3x < 1 and 6x < 2 are equivalent inequalities. Writ e another inequality that
is equivalent to 3x < 1 and
6r<2.
Answer:
12x < 4
Step-by-step explanation:
6x < 2 is twice 3x < 1
so 12x < 4 is twice 6x < 2
9n+1
2n+25.5
add the result of both equations together
i need questions 1-8 pla
Answer:.
Step-by-step explanation:.
Can someone help me out with this problem How tall is a stack of cube shaped blocks whose volumes are 375 cube inches, 648 cube inches, and 1029 cube inches?
Answer:
The stack of blocks is 25.96 inches tall
Step-by-step explanation:
The Volume of a Cube
Given a cube-shaped figure of side length L, the volume is calculated by:
[tex]V=L^3[/tex]
If the volume is known, then the side length can be found by solving for L:
[tex]L=\sqrt[3]{L}[/tex]
We are given three cube-shaped blocks with known volumes. We'll find the individual side lengths and add them up to find the height that results when they stack up vertically.
Block 1, volume 375 cube inches:
[tex]L_1=\sqrt[3]{375}=7.21\ inch[/tex]
Block 2, volume 648 cube inches:
[tex]L_2=\sqrt[3]{648}=8.65\ inch[/tex]
Block 3, volume 1029 cube inches:
[tex]L_3=\sqrt[3]{1029}=10.10\ inch[/tex]
Total height=7.21 inch+8.65 inch+10.10 inch=25.96 inch
The stack of blocks is 25.96 inches tall
A coffee shop s ends $408 for an order of 17 cases of paper cups.
If the coffee shop adds 5 more cases of paper cups to the order, how
much will the total cost be?
A. $120
B. $493
O
C. $528
D. $2,040
The radius of a circle is 8 millimeters. What is the circle's area?
Use 3.14 for PI
Find all the real zeros of the function : h(x) = -2 (x²+16) (x²-9)
Dion ordered a pizza from Domino’s. Domino’s charges 50 cents per topping.
What’s is the rate of change?
What’s the equation of the line?
Answer:
the answer is 50
Step-by-step explanation:
the answer is 50 because lets say the the amount for a plain pizza is $12 that will be your inital value. 50 is your rate of change cause they price is add onto by 50 cents per topping.
i need help on how to find m and b
Answer:
y = [tex]-\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is give by,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through the points (0, 3) and (2, 2),
m = [tex]\frac{3-2}{0-2}[/tex] = [tex]-\frac{1}{2}[/tex]
Y-intercept 'b' of the given line in the graph is (3).
Since, equation of line with slope 'm' and y-intercept 'b' is,
y = mx + b
Therefore,equation of the line given in graph will be,
y = [tex]-\frac{1}{2}x+3[/tex]
5
2
start fraction, 2, divided by, 5, end fraction of a number is what percentage of that number?
Answer:
Step-by-step explanation:
2/5=40/100 40 out of 100 is 40%
Use the table to answer the question. X y -21-1 -1 -1 1 0 3 1 5 2 7 Which equation represents the relationship between x and y shown in the table? 1 O A. y = fx- -1 O B. y = x+3 Oc. C. y=2x-1 D. y = 2x + 3
Answer:
D. y = 2x + 3
Step-by-step explanation:
Use the table to answer the question.
x:-2 -1 0 1 2
y: -1 1 3 5 7
Which equation represents the relationship between x and y shown in the table.
Solution:
The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
The table (x, y) has the points (-2, -1) and (0, 3). The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-1)= \frac{3-(-1)}{0-(-2)} (x-(-2))\\\\y+1=2(x+2)\\\\y+1=2x+4\\\\y=2x+3[/tex]
divide (3x^2-14x-5) by (x-5)
Answer:
3x+1
Step-by-step explanation:
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
x
-
5
3
x
2
-
14
x
-
5
Divide the highest order term in the dividend
3
x
2
by the highest order term in divisor
x
.
3
x
x
-
5
3
x
2
-
14
x
-
5
Multiply the new quotient term by the divisor.
3
x
x
-
5
3
x
2
-
14
x
-
5
+
3
x
2
-
15
x
The expression needs to be subtracted from the dividend, so change all the signs in
3
x
2
−
15
x
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
Pull the next terms from the original dividend down into the current dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Divide the highest order term in the dividend
x
by the highest order term in divisor
x
.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Multiply the new quotient term by the divisor.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
+
x
-
5
The expression needs to be subtracted from the dividend, so change all the signs in
x
−
5
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
0
Since the remander is
0
, the final answer is the quotient.
3
x
+
1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
x
-
5
3
x
2
-
14
x
-
5
Divide the highest order term in the dividend
3
x
2
by the highest order term in divisor
x
.
3
x
x
-
5
3
x
2
-
14
x
-
5
Multiply the new quotient term by the divisor.
3
x
x
-
5
3
x
2
-
14
x
-
5
+
3
x
2
-
15
x
The expression needs to be subtracted from the dividend, so change all the signs in
3
x
2
−
15
x
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
Pull the next terms from the original dividend down into the current dividend.
3
x
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Divide the highest order term in the dividend
x
by the highest order term in divisor
x
.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
Multiply the new quotient term by the divisor.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
+
x
-
5
The expression needs to be subtracted from the dividend, so change all the signs in
x
−
5
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
3
x
+
1
x
-
5
3
x
2
-
14
x
-
5
-
3
x
2
+
15
x
+
x
-
5
-
x
+
5
0
Since the remander is
0
, the final answer is the quotient.
3
x
+
1
The solution after divide (3x² - 14x - 5) by (x - 5) will be (3x + 1).
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ Divide (3x² - 14x - 5) by (x - 5)
Now,
Divide (3x² - 14x - 5) by (x - 5) as;
x - 5 ) 3x² - 14x - 5 ( 3x + 1
3x² - 15x
- +
------------------
x - 5
x - 5
- +
--------------------
0
Thus, The solution after divide (3x² - 14x - 5) by (x - 5) will be (3x + 1).
Learn more about the division method visit:
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Ill mark brainliest pls help
Answer:
Yes it is
Step-by-step explanation:
What is the value of expression below?
Answer:
B)1.1
Step-by-step explanation:
I'm 100% sure
Answer:
ans b.1.1
Step-by-step explanation:
hey just follow an thank me thats it
x/3a*x/4a
_______
x/8a
a car that was originally worth 29500$ it depreciates at a rate of 2500$ per year find the value of the car after six years
Answer:
14,500
Step-by-step explanation: Just took the test.
Find the exact value of sec 330° in simplest form with a rational denominator.
Answer:
2√3/3
Step-by-step explanation:
Sec(330°)
=1/cos(330°)
=1/√3/2 (since Cos (330°)=√3/2
=1×2/√3
=2/√3×√3/√3
=2√3/3
Answer:
[tex]\implies \sec 330^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?
please help i really need help A.S.A.P :)
Answer:
So you know that the height that is visible above x=0 is 74.98 m From x=0 below it has a total height of 518.16m to the sea floorThat tells us that we have two parts account for
74.98+518.16m = 593.14 mStep-by-step explanation:
i know that I'm indian n u r Pakistani but can't we be friends I don't see my friend from where they belong just I need ur heart with me
Find the greatest number which
divides 304 to leave a remainder
of 4 and which also divides 298
to leave a remainder of 4.
Answer:
304-4=300
300/30=10
298-4=294
294/3=98
PLEASE HELPPP ILL DO ANYTHINGGGG
Answer:
1. 16
2. 20
3. 6
4. 42
Step-by-step explanation:
you basically see where the numbers are and follow the dots down to see what number it lands on and the last one you add
In a school with 300 students 18% of the students take violin lessons and 6% of the students take clarinet lessons.
A: find the number of students who take each type lesson.
B: How many more students take violin than take clarinet lessons?
When will The Ghost of Christmas present cease to exist?
Answer:
never ever not in a million years
Step-by-step explanation:
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
C
Step-by-step explanation:
Necesito que me ayuden en todas si cada uno de ustedes me puede decir una por favorrrrrr
Step-by-step explanation:
the perimeter of rectangle is 24 cm and the sides are in the ratio find the length of the sides
which line graph of the liner equation x-2y=6
Answer:
x-coordinate
Step-by-step explanation:
Answer:
the answer is x coordinate
PLS HELP LOL, t is the value of the expression −100÷25? Enter your answer as an integer in the box.
Answer:
4
Step-by-step explanation:
100 divided by 25=4
Answer:
-4 as the answer but as an integer maybe 0-4?
Step-by-step explanation:
One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the sides of the triangle.
Answer:
5 cm
Step-by-step explanation:
Let the shorter side be a, longer side be b, hypotenuse be c
By Pythagorean theorem:
a² + b² = c²
a² + (a + 7)² = (a + 8)²
a² + a² + 14a + 49 = a² + 16a + 64
a² - 2a - 15 = 0
a² + 3a - 5a - 15 = 0
a(a + 3) - 5(a + 3) = 0
(a + 3)(a - 5) = 0
a = -3 or a = 5
Because a is a side length and is a positive number
a = 5
Mia spends 45 minutes reading each day. She does 2/5 of her reading at school. How many minutes does Mia spend reading at school?
Answer:
18 minutes
Step-by-step explanation:
1. 45 minutes is the TOTAL amount she reads so it can be expressed as x/45
*x=a part
2. set up a proportion
x/45 = 2/5
3. now solve by either cross multiplication or finding a scale factor. I am finding a scale factor because that is easiest.
45/5=9
so 5 * 9 = 45
so 2 * 9 = 18
the asnwer is 18. I hope this helps
Paul is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Paul wants to get 46 balloons, how many yards of string will he need
Answer:
Paul needs 276 feet of string for his uncle's birthday party.
Step-by-step explanation:
From the problem we are given, we can simply break it down as follows:
Paul wants each balloon string to be 6 feet long.
Paul also wants to get 46 balloons with each of them having 6-feet long strings attached to them.
This means that Paul will need 6 feet ling strings 46 times (that is for all the 46 balloons)
to solve this mathematically, we multiply 46 X 6 to get 276 feet.
Therefore, Paul needs 276 feet of string for his uncle's birthday party.