The number of toffees Sharon got is 10.
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Number of toffees Sharon has = (ratio of toffees Sharon got / sum of ratios) x total toffees shared.
Sum of ratios -= 2 + 5 = 7
(5/7) x 14 = 10
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Sarasota 48 pounds of chocolate for a school fundraiser how many ounces of Candy did Sarah sale
Answer:
can you be more clear like add a photo?
Step-by-step explanation:
We need to convert 48lbs to ounces
1lbs=16ounces[tex]\\ \tt\hookrightarrow 48lbs[/tex]
[tex]\\ \tt\hookrightarrow 48(16)[/tex]
[tex]\\ \tt\hookrightarrow 768ounces[/tex]
the sum of two numbers is 75. the first is 9 more than 5 times the second. find the first number
Answer:
1st number is 64
Step-by-step explanation:
Lets start by making the words into equations.
So the 1st plus the 2nd is 75:
1st+ 2nd= 75
Now the tricky part. The 1st is 9 more than 5 times the 2nd. The key word 'times' means multiplication, we we will have 5 x 2nd somewhere in our equation. The '1st is 9 more than' part tricks us into thinking we will have 1st plus 9, BUT WE WON'T because it isn't 9 more, its 9 more THAN. This means we will get.
1st= 5 x 2nd +9
To make this a little cleaner, I will have the 1st = X and the 2nd= y.
x+y=75
x=5y+9
We can substitute the bottom equation into the top equation.
5y+9+y=75
Combine like terms
6y+9=75
Solve for Y by getting y alone.
6y+9=75
6y=66
y=11
Then we can take our value of y and plug it back into either equation to solve for X. The top equation is the easiest.
x+11=75
Isolate x to solve for x
x=64
And we established that x= the 1st number, so the 1st number is 64
Sara was asked by Mr. Rocha to solve the equation below. − 3 x = y + 51 What is the value of x when y has a value of − 9 ?
Answer:
x = - 14
Step-by-step explanation:
Given equation
-3x = y + 51Putting the value of y
-3x = -9+51-3x = 42x = - 42/3x = - 14Hope it's helpful!
ᔕEᒪEᑎᗩ328
The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14.
What is the equation?An equation is said to be linear if the maximum power of the variable is consistently unity.
More than one variable may be present inside a linear equation.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given equation,
-3x = y + 51
At y = -9
-3x = -9 + 51
-3x = 42
x = -14
Hence "The value of x for the given equation -3x = y + 51 such that the value of y is -9 will be -14".
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Question 2
Solve for the variable cin this equation:
a(c + b) =d
A. C= d-ab/a
B. C= d+ab/a
C. C= ab- d/a
D. d-ab/b
Answer:
A. C = (d-ab)/a
Step-by-step explanation:
a(c + b) = d
a(c + b)/a = d/a
c + b = (d/a)
c = (d/a) - b
a(c + b) = d
ac + ab = d
ac = d - ab
ac/a = d/a - ab/a
c = (d/a) - b
Simplify.
3.4 + (–6.3)
–9.9
–2.9
2.9
9.9
Please answer
It’s Pythagoras btw
ASAP
Answer:
X=11.979425
Step-by-step explanation:
Divide 7.3 and 5.5 which gives you 1.327272… Then, divide 15.9 by 1.3272727
Mario's plumbing company charges a flat fee of $40 to make a
house call, plus $25 per hour.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and y-values represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the y-intercept mean?
Answer:
Step-by-step explanation:
y = mx + b
m = $25 and b = $40
(a). y = 25x + 40 , where x-value is hours of work and y-value is total amount of money consumer will pay.
(c). The y-intercept is a flat fee.
convert the following measurements into
the indicated units
1.) 100 m^2
– as ft^2
2.) 2 km _____ ft
3.)2,057 grams - as kg
4.) 1.25 × 10-7 meters - as µm
5.) 6.58 × 104 meters - as km
6.) 2.78 × 10-1 grams - as mg
Answer:
1) 1076.4ft^2
2). 6561.68ft
3). 2.057kg
4). 1.25×10^-1
5). 6.58×10^1km
6). 278mg
what is the slope of -4,7 and 9,-2 ?
Answer:
-9/13
Step-by-step explanation:
What is the equation of this line in standard form?
A: 9x−8y=23
B: 8x−9y=23
C: 8x−9y=−23
D: 8x−7y=−25
Answer:
B:8x-9y=23
Step-by-step explanation:
First find the slope:
m= y2-y1/x2-x1
y2 is 3
y1 is -1
x2 is 1/2
x1 is -4
3-(-1) is 4
1/2-(-4) is 9/2
Now the equation looks likes this:
4 / 9/2
Which can be rewritten as
4*2/9
Thus the slope is 8/9
So the equation is
y=8/9x+b
Now you can substitute to find the y-intercept:
(you can do either (-4,1) or (1/2,3)
I am going to do (1/2,3) since it is easier
3=8/9(1/2)+b
Simplify:
3=4/9+b
Subtract 4/9 on both sides:
b=23/9
Thus the equation is
y=8/9x+23/9
Multiply 9 on both sides:
9y=8x+23
Subtract 8x on both sides:
8x-9y=23
Hope this helps!
the ratio of white marbles to black marbles is 7 to 10. if there are 136 marbles in the bag how many marbles are white?
Answer:
White Marbles: 56
Step-by-step explanation:
Let number of white marbles be x
7/10=x/136-x
10x=7(136-x)
10x=952-7x
17x=952
x=56
Answer:
56
Step-by-step explanation:
7/17 * 136 = 56.
Pecan producers blow air through the pecans so that the lighter ones are blown out. The
lighter-weight pecans are generally bad ("bad nuts") and the heavier ones tend to be better
D("good nuts"). These "blow outs" and "non-blow outs" are often sold to tourists along the
highway. Suppose that 50% of the pecan "blow outs" are good and 80% of the "non-blow outs"
are good.
a. If you purchase 30 pecans, what is the expected number of good nuts you will find if you
purchase "blow outs?"
b. If you purchase 30 pecans, what is the expected number of bad nuts you will find if you
purchase "non-blow outs?"
ng your
Answer:
yes
Step-by-step explanation:
Find the missing length. The triangles are similar.
Answer:
18
Set up a ratio since they are similar (congruent in the ratio of side length):
[tex]\frac{52}{24} =\frac{39}{x}[/tex]
Cross multiply:
52x = 936
x = 18
Write the equation of the horizontal line that passes through the point (2,-12)
Answer:
y=-12
hope this helps!
I need the answer can you help me
Solve the equation for x.
x/5 = -8
Answer:
x = -40
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Multiply 5 to both sides of the equation:
(x/5) * 5 = (-8) * 5
x = -8 * 5
x = -40
x = -40 is your answer.
~
Answer:
[tex] \mathbb= > \frac{x}{5} = - 8[/tex]
[tex]\mathbb = > x = - 8 \times 5[/tex]
[tex]\mathbb = > x = - 40[/tex]
how many miles did Candice bike on her route?
Answer:
200miles per hour andv50 9
Toby buys a new game for the price of $45.50. If the sales tax is 5%:
What is the sales tax amount?
What is the final amount
including taxi need it today
Answer:
Taxi Cost = $47.78
Step-by-step explanation:
Taxi Cost = Cost of the ride + (Cost of the ride × sale tax %) 5% = .05 as a
decimal
Taxi Cost = $45.50 + (45.50 × .05)
Taxi Cost = $45.50 + $2.275)
Taxi Cost = $47.775
Taxi Cost = $47.78
Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses?
Answer:
1270 a month on expenses
Answer:
1270 a month
Step-by-step explanation:
There is 4 weeks for month so you multiply 150 x 4 = 600 and just add 165 and 505 which is equal to 1270
PLEASE PLSASE ANSWER THIS
Answer:
a = 57.5
b = 57.5
Step-by-step explanation:
XY=XZ so c=d
[tex]c = d = \frac{180 - 65}{2} = 57.5[/tex]
Now draw the XH
So angle YXH = 180 — 90 — 57.5 = 32.5
a+YXH=90
a+32.5=90
so a = 57.5
We know that a + 65 + b = 180
So 57.5 + 65 + b = 180
b = 180 — 122.5
b = 57.5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \fbox \colorbox{black}{ \colorbox{white}{a} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{b} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{57.5 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the above diagram we can conclude that ~
Angle c = Angle a (Alternate interior Angle pair)
Angle d = Angle b (Alternate interior Angle pair)
and,
Angle c = Angle dbecause their opposite sides are equal.
now, according to linear pair property ~
Angle a + Angle b + 65° = 180°replacing Angle a with Angle c and Angle d with Angle b, because they are equal to one another ~
Angle c + Angle d + 65° = 180°2 × Angle c = 180° - 65°(because Angle c = Angle d)
2 × Angle c = 115°Angle c = 115° ÷ 2 Angle c = 57.5° = Angle dSo,
Angle a = Angle c = 57.5°Angle b = Angle d = 57.5°Under her cell phone plan, Myesha pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $55 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Myesha can use while staying within her budget.
Answer:
4gb
Step-by-step explanation:
$55-$35 =$20
after paying min monthly cost she has $20 left before reaching cap of $55
at $5 per gb she can buy 4 gb for $20
The number of gigabytes she can use while staying within her budget less than 4 gigabytes.
It is required to find the umber of gigabytes.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let the number of gigabytes be represented be g
Nicole pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $55 per month.
Under $55 = less than (<) $55
According to given question we have,
$35 + $5 × g < 55
35 + 5g < 55
compare like terms and simplify we get,
5g < 55 - 35
5g < 20
g < 20/5
g < 4 gigabytes
Therefore, the number of gigabytes she can use while staying within her budget less than 4 gigabytes.
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The Pie Problem!
Question: The Morgans had pumpkin pie for their Thanksgiving dessert.
The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate
her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion
How much of the ple is left after the daughter ate her portion?
Answer:
1/12
Step-by-step explanation:
find the least common multiple of the denominators.
which is 12
so 1/4=3/12
2/3=8/12
1/2=6/12
so 3/12- 8/12 - 6/12 = -11/12
so there is 1/12th pieces left after they all ate their portions of the pie
Helppp me Please!! i beg
Answer:
The answer would be -16
Step-by-step explanation:
Add
5
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it.
7(7 – 9)
Question 15 options:
Answer: The answer is 40.
Step-by-step explanation: 7(7-9) when you use distributive property you will use the 7 outside the parenthesis. Multiply the property inside. then you will get 49-9. Then you will solve it and get the answer 40.
carla buys 6 pounds of turkey and 4 pounds of ham. shay pays a total of $30.50. the turkey cos $.50 more than the ham. how much did carla pay for the 1 pound of turkey and 1 pound of ham
Answer:
1 pound of turkey-3.25 and 1 pound of ham-2.75
Step-by-step explanation:
t+h=30.50
h(.50)=t
Seventeen bicycles are produced each hour at the Speedy Bike Works. Show that the relationship between the number of bikes produced and the number of hours is a proportional relationship. Then enter an equation for the relationship, using x as the variable that represents the number of hours.
the two quantities are ____.
a.equal.
b.no equal.
The relationship ____.
a.is.
b.is not.
Answer:
17
34
17
17
equal
is
y = 17x
Step-by-step explanation:
After 1 hour , 17 bicycles are produced
After 2 hours, 34 bicycles are produced
Ratio of bikes produced per hour after one hour is
= no. of bikes produced after 1 hr / no of hours
= 17 / 1 = 17
Ratio of bikes produced per hour after two hours is
= no. of bikes produced after 2 hrs / no of hours
= 34 / 2 = 17
a. equal
b. is
equation of y is
no of bikes produced = (rate/ hour) * no of hours
y = 17 * x
How many different 5-digit PIN codes are there that only include the digits 6, 2, 5, 4, 8 and 7?
Answer:
First, there are NO 5-digit pin codes that include the digits 7, 2, 4, 6, 9, and 3. But, there are 720 pin codes that include 5 out of the 6 digits.
1 3/5 plus 4 1/5 add or subtract write in simplest form
Answer:
Step-by-step explanation:
1 3/5 + 4 1/5
= 8/5 + 21/5
= 29/5
= 4 4/5.
4 1/5 - 1 3/5
= 21/5 - 8/5
= 13/5
= 2 3/5.
Write the equation of the graph shown below in factored form.
A. f(x) = (x+2)(x-1)(x-3)
B. f(x) = (x-2)(x+1)(x+3)
C. f(x) = (x+2)(x+1)(x+3)
D. f(x) = (x-2)(x-1)(x-3)
Answer:
a. f(x)=(x+2)(x-1)(x-3)
Step-by-step explanate
If ∠=°, what is the measure of each of the other angles?
Answer:
Angles 2, 4, 6 & 8 are 118 degrees and angles 1, 3, 5 & 7 are 62 degrees.
Step-by-step explanation:
∠4 ≅ ∠2 by the Vertical Angle Theorem.
∠4 ≅ ∠8 by the Corresponding Angle Theorem.
∠4 ≅ ∠6 by the Alternate Exterior Angle Theorem.
∠4 is supplementary to ∠1 and ∠4 supplementary to ∠3 by the Linear Pair Postulate.
∠4 is supplementary to ∠5 because ∠4 ≅ ∠2 (explained above) and ∠2 supplementary to ∠5 by the Same-Side Interior Angle Theorem.
∠4 is supplementary to ∠7 by the Same-Side Exterior Angle Theorem.
