Answers
Answer:
There are 9 units
Step-by-step explanation:
Related Questions
At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?
Thanks! :)
Answers
Answer:
10 pounds of raisins and 10 pounds of peanuts.
Step-by-step explanation:
Let c represent the pounds of chocolate covered raisins.
Let p represent the pounds of peanuts.
We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.
Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:
[tex]1.5c+1.2p[/tex]
This represents the cost given c pounds of raisins and p pounds of peanuts.
Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:
[tex]1.5c+1.2p=1.35(c+p)[/tex]
We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:
[tex]c+p=20[/tex]
We now have the system of equations:
[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]
First, since we know that c+p is 20, we can substitute that into the first equation.
Second, let's subtract p from both side for the second equation to isolate a variable. So:
[tex]c=20-p[/tex]
Let's now substitute this into the first equation:
[tex]1.5(20-p)+1.2p=1.35(20)[/tex]
Distribute:
[tex]30-1.5p+1.2p=27[/tex]
Combine like terms:
[tex]-0.3p+30=27[/tex]
Subtract 30 from both sides:
[tex]-0.3p=-3[/tex]
Divide both sides by -0.3. So, the amount of peanuts needed is:
[tex]p=10[/tex]
10 pounds of peanuts is needed.
This means that 20-10 or 10 pounds of raisins is needed.
Answer:
10 pounds of both raisins and peanuts.
Step-by-step explanation:
What is the solution to the equation 3(2x+5) = 3x+4x?
O X=0
O X=4
Ox=5
OX= 15
Answer ASAP will give brainliest to first answer!! (If you didn’t know I half to have 2 people answer before giving brainliest!)
Answers
expand the brackets and collect like terms so 6x+15=7x
then -6x to get x=15
What is the y intercept of 4y+9x=18
Answers
Answer:
y = 9(2 - x)/4
Step-by-step explanation:
1.) Subtract 9x from both sides.
4y = 18 - 9x
2.) Divide both sides by 4.
y = 18 - 9x/4
3.) Factor out the common term 9.
y = 9(2 - x)/4
My words:
Hope this helps you and let me know if you need help again, also have a blessed day or night, also could I have brainliest for this?
The y intercept of the equation of the line 4y+9x=18 is 4.5.
What is defined as the y-intercept of the line?The point at which the graph intersects this same y-axis is known as the y-intercept. Finding the intercepts of any function of the form y = f(x) is critical when graphing. A function can have one of two types of intercepts. They are recognized as the x and y intercepts. An intercept of the a function is the point at which the function's graph intersects the axis.For the given question,
The equation of the line is given as;
4y+9x=18
Write the equation in slope intercept form.
y = mx + c
Where, m is the slope and c is the y intercept.
4y = -9x + 18
y = -9x/4 + 9/4
y = -9x/4 + 4.5
Comparing with the standard form, y intercept is found as 4.5.
Thus, the y intercept of the equation of the line 4y+9x=18 is 4.5.
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HELP PLZ. ASAP I need an answer.
Answers
Answer:
6.5
Step-by-step explanation:
You can see that the total Coast change from Month 0 to Month 2 by 13$ (35-22= 13). Since these are two month we need to divide them by 2 (13/2= 6.5)
6.5 is the total rate of change per months
There are 30 students in Mrs. Martinez's class.
of the class has an Android cell phone.
of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
O 6 students
O 21 students
09 students
O 15 students
Answers
Answer:
9
Step-by-step explanation:
1/5 of 30 is 6 or 30/5. 1/2 of 30 is 15 or 30/2. 6+15=21. 30-21=9
Number of band members beyerhighschool in Orange County
Answers
Answer:
its answer is in high school is ten
Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Answers
Answer:kara Had $17-$12. Pizza cost =leave u with $5 x.50=10topping
Step-by-step explanation:
What is the image of (−8,2) after a reflection over the y-axis?
Answers
Answer:
8, -2
Step-by-step explanation:
help me on problem 4 !!!!I WILL GIVE BRAINLIEST!!!!!
Answers
Answer:
b=12.20
Step-by-step explanation:
its asking for a triangle. there are two legs (the straight sides) and a hypotenuse*.( the slanted one) the formula for finding a missing side is a2+b2=c2. (squared) then you plug in your numbers. and c2 is always the slanted side while a and b are the legs. Sorry this was late tho.
Show your work: Solve for b, where A is the area of a rectangle, b is the length of the base of the rectangle, and h is the height of the rectangle. Ab h
Answers
Answer:
[tex]b = \dfrac{A}{h}[/tex]
Step-by-step explanation:
Given the formula for calculating the area of the rectangle as;
A = bh where;
b is the length of the base of the rectangle, and;
h is the height of the rectangle
Required
Make b the subject of the formula
Given
[tex]A = bh\\\\divide \ both \ sides \ by \ h\\\dfrac{A}{h} = \dfrac{bh}{h}\\ \dfrac{A}{h} = b\\Re-arrange;\\b = \dfrac{A}{h}[/tex]
Hence the value of b in terms of A and h is expressed as [tex]b = \dfrac{A}{h}[/tex]
the polygon is regular if each of its side has the same length. find the perimeter of the regular polygon.
18, 19, 20
helpp!!!!
Answers
2x = 4
x = 2
perimeter = length of one side x 3
perimeter = [5-2(2)] x 3
= 3
19. 3(x-1) = 5x-6
3x-3 = 5x-6
-2x = -3
x = 1.5
perimeter = [3(1.5-1)] x 5
=7.5
20. 4/3x-⅓ = x+7
4x-1 = 3x+21 (multiply throughout by 3 to get rid of denominator on LHS)
x = 22
perimeter = (22+7) x 6
= 29 x 6
= 174
^ not sure about qn20 because i can’t tell if it’s x+7 or x divided by 7 it’s kinda blurry
Instructions: Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
23
Step-by-step explanation:
m∠A=cos⁻¹(35/38) = 22.91954215
round your answer to the nearest tenth.
23 degrees is the measure of the indicated angle in the triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a right angled triangle.
The side lengths of triangle are 35 and 38.
We have to find the measure of the angle opposite to the right angle.
By using cosine function formula we calculate it.
CosA=Adjacent side/Hypotenuse
CosA=35/38
m∠A=cos⁻¹(35/38)
= 22.91954215
Hence, 23 degrees is the measure of the indicated angle.
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Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' total wages for Kaley and Tom if h represents the number of hours Tom worked.
Answers
Answer:
7.68h
38.4 + 7.68h
Step-by-step explanation:
Earnings per hour = $7.68
This week Kaley worked 5 more hours than Tom in overtime
h = number of hours Tom worked.
Tom's total earnings for the week = earnings per hour × number of hours
= $7.68 × h
= 7.68h
Tom's total earnings for the week = 7.68h
Kayley's total earnings for the week = earnings per hour × number of hours
He works 5 hours more than Tom in overtime.
Tom = h
Kayley = 5 + h
Kayley's total earnings for the week = earnings per hour × number of hours
= (7.68) × (5 + h)
= 38.4 + 7.68h
Kayley's total earnings for the week =
38.4 + 7.68h
a department store credit card advertises no payments for 2 years on purchases what they do not advertise is the interest is compounded continuously for those two years at an annual rate of 19.7 %if you make a purchase for 550 and make no payments for 2 years how much would you owe at the end of those two years
Answers
Answer:
o very easy hahaha I should tell step by step or shortcut
How much larger is 10 to the power of 7 than 10 to the power of 3 What operation can we use?
Answers
Answer:
10 to the power of 7 is 10000000 and 10 to the power of three is 1000 making ten to the power of seven 10000 times bigger
Step-by-step explanation:
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total value of the discount?
Answers
Find the 50th term of this arithmetic sequence:
6, 13, 20, 27, . . .
Answer:
Answers
Answer:
346380
Step-by-step explanation:
hope you gwt an a
For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.
I'm not sure, but I think the formula is b^2-4ac>0
Answers
Answer:
m<1
Step-by-step explanation:
If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is
[tex]b^2-4ac>0\cdots(i)[/tex].
The given expression is [tex]x^2-2x+m[/tex].
Here, a=1, b=-2 and c=m.
So, by using equation (i),
[tex](-2)^2-4(1)(m)>0[/tex]
[tex]\Rightarrow 4-4m>0[/tex]
[tex]\Rightarrow 4m<4[/tex]
[tex]\Rightarrow m<4/4[/tex]
[tex]\Rightarrow m<1[/tex].
Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.
Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.
Answers
Answer:
The distance from the point to the line is approximately 3.2 units
Step-by-step explanation:
Distance From a Point to a Line
Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.
If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is
[tex]\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]
The line is given by the equation:
y=3x. We need to transform it into the specified form.
Subtracting 3x:
y - 3x = 0
Comparing with the general form of the line, we have
a=-3, b=1, c=0
The point (xo,yo) is (-1,7), thus:
[tex]\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}[/tex]
[tex]\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}[/tex]
[tex]\displaystyle d= \frac{|10|}{\sqrt{10}}[/tex]
[tex]\displaystyle d= \frac{10}{\sqrt{10}}[/tex]
[tex]d\approx 3.2[/tex]
The distance from the point to the line is approximately 3.2 units
Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answers
Answer:
3.5 pounds for 14 people
Step-by-step explanation:
Given
1 pound = 4 people
Required
Determine the pounds for 14 people
Represent this with x; so, we have:
[tex]1\ pound = 4\ people[/tex]
[tex]x = 14\ people[/tex]
Cross Multiply
[tex]x * 4 = 1 * 14[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
Hence, 3.5 pounds for 14 people
yk = m + n
Solve the following equation for k:
Answers
k = m + n / y
A restaurant charges $8 per burger basket ordered. The charles family orders at least 3 burger baskets but no more than 7 burger baskets a week. If x, represents the number of burger baskets ordered the total cost can be represented by f(x) = 8.50x. What is the domain of the function for this situation?
A- 8,32,40,48,56
B- 3,4,5,6,7,
C- 3
D- 8
Answers
Answer:
b
Step-by-step explanation:
8. If k = log2 3 then log2 48 =
Answers
Answer:
16k
Step-by-step explanation:
k=3log2
k=(48\16) log2
16k= 48log2
16k=log2 48
Numbers can be expressed in logarithms.
The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
The expressions are given as:
[tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248}[/tex]
Express 48 as 3 * 16
[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]
Split
[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]
Express 16 as 2^4
[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]
Rewrite as:
[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]
In logarithms:
[tex]\mathbf{log_aa = 1}[/tex]
So, we have:
[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]
[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]
Substitute [tex]\mathbf{k = log_23}[/tex]
[tex]\mathbf{log_248 = k + 4}[/tex]
Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]
Read more about logarithms at:
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Pocahontas opens a savings account with $640 dollars that earns 3.9% interest per year not compounded. How much money to the nearest penny will Pocahontas have in 8 years
Answers
Given:
Principal value = $640
Rate of interest = 3.9% not compounded
Number of years = 8
To find:
The amount after 8 years.
Solution:
It is given that the interest is not compounded. It means, we need to find simple interest.
Formula for simple interest:
[tex]I=P\times r\times t[/tex]
where, P is principal, r is rate of interest and t is time in years.
Put P=640, r=0.039 and t=8.
[tex]I=640\times 0.039\times 8[/tex]
[tex]I=199.68[/tex]
So, the interest is $199.68.
Now, amount after 8 years is
[tex]A=P+I[/tex]
where, P is principal and I is interest.
[tex]A=640+199.68[/tex]
[tex]A=839.68[/tex]
Therefore, the amount after 8 years is $839.68.
What is the constant of proportionality in the equation y = 0.41x?
Answers
Answer:
0.41
Step-by-step explanation:
because its 0.41 it cant be reduced or messed with so your answer is 0.41
Solve the proportion 4/5 equals X over 15
Answers
average rainfall in clearview is 38in
this year 29.777in fell. how much less rainfell this year than falls in a average year?
Answers
Answer: 8.223in less rain fell today.
Step-by-step explanation:
38in. - 29.777in. = 8.223in
8b + 5 + 4 = -23
Need ASAP
Answers
Answer: b= -4
Step-by-step explanation:
8b = -32 so then 32 divided by 8 = -4 so the yeaaaaaaaaasaaaaaaa
Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week
Answers
Answer:
if it how long it will it take to pay her friend back its 135 weeks
Step-by-step explanation:
Help me out here...........
Answers
Answer:
false cause if they both were added it would be 2/9ths
Step-by-step explanation:
answer:
JUST READ EXPLANATION!!!
Step-by-step explanation:
well, 1/3 divided by 3 =1/9