Answer:
X = 2
equation x [tex]\leq[/tex] 2
Step-by-step explanation:
You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]
You do this because if you multiply 2*2x and 2*1 you will get 4x+2
Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]
So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like [tex]2(2x+1)\leq 10[/tex]
So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]
you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5. [tex]2x+1\leq 5[/tex]
Now you subtract one from both sides [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]
you'll get 2x=4
divide both sides by 2 to get x=2
To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]
[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]
since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation
40
X
5. A health-food business would like to create a high-potassium blend of dried fruit in the form
of a box of fruit bars. It decides to use dried apricots, which have 407 mg of potassium per
serving, and dried dates, which have 271 mg of potassium per serving.
4
y
The company can purchase its fruit through www.driedfruitbaskets.com in bulk for a
reasonable price. Dried apricots cost $3.33/serving and dried dates cost $2/serving. The company
would like the box of bars to have at least the recommended daily potassium intake of about
4700 mg, but would like to keep it under twice the recommended daily intake. In order to
minimize cost, how many servings of each dried fruit should go into the box of bars?
5
Objective Function:
Constraints:
Corner Points & Answer:
Thus, the values corresponding to the function and constraints will be:
Objective Function:[tex]C=3.33X+2.00Y[/tex]
Constraints:[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
We begin by defining the variables. Let call:
X = of servings of dried apricots
Y= of servings of dried dates
For apricots, there are 3 servings in one pound. This means that the cost per serving is $9.99/3 = $3.33. The cost for X:
[tex]3.33X[/tex]
For dates, there are 4 servings per pound. This means that the cost per serving is $7.99/4=$2.00. The cost for Y:
[tex]2.00Y[/tex]
The total cost would be:
[tex]C=3.33X+2.00Y[/tex]
Product must contain at least 4700mg of potassium
[tex]407X+271Y\geq 4700\\407X+271Y\leq 9400[/tex]
So now with the equations set it is possible to see that the desired values are between 9400 and 4700. Then using the critical points X=0, Y=0 for the two given equations. This will inform the points of interest for X and Y if this analysis is needed for the exercise.
Learn more: brainly.com/question/16173741
i need geometry help...
PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!
Answer:
You can solve this with long division:
Answer:
Area = 2x²+3x+4Step-by-step explanation:
Volume :
V= abh
Area:
S=ab or V:h
In our case :
[tex]abh=(2x^3+7x^2+10x+8 ) \\\\ h=x+2[/tex]
Let's use Synthetic division:
[tex]\large \boldsymbol{}x+2=0 \to x=-2 \\\\ \underline{\begin{array}{c|c|c|c|c|} \bf \stackrel{x+2}{-2} \ & \stackrel{x^3}{2} \ & \stackrel{x^2}{7} \ & \stackrel{x}{10} \ & { \stackrel{1}{8} \ }\end{array}}[/tex]
[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & -4 & -6 & -8\end{array}}[/tex]
[tex]\large \boldsymbol{} \underline{\begin{array}{c|c|c|c|c|c|} \ & \ \ \ & \ \ \ & \ \ \bf3 \ & \ \ \bf4 \ & \bf 0 \ \end{array}}[/tex]
Then :
[tex]\large \boldsymbol{}(2x^3+7x^2+10x+8) :(x+2)= \\\\(2x^2+3x+4)(x+2):(x+2)=\boxed{2x^2+3x+4}[/tex]
Area = V:h ⇒ 2x²+3x+4Help please quick I don’t understand this stuff
Hello,
(i) Express n as the subject.
[tex]C=\frac{nA}{n+12}[/tex]
[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]
(ii)
Since C = 6 mL and n = 8 we need to solve this equation of unknown A :
[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]
Thus, the equivalent adult dosage A would be 15 mL
(iii) I let you think about this one
Good Luck
what is the answere to 7 times 4/21
[tex] \Large{\boxed{\sf 7 \times \dfrac{4}{21} = \dfrac{4}{3}}} [/tex]
[tex] \\ [/tex]
Explanation:[tex] \blue{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \sf{\boxed{ \sf Multiplication \: of \: fractions \text{:}}}} \\ \\ \sf \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d} \\ \\ \end{array}}\\\end{gathered} \end{gathered}} [/tex]
[tex] \\ [/tex]
[tex] \sf 7 \times \dfrac{4}{21} [/tex]
[tex] \\ [/tex]
First, write 7 as a fraction:
[tex] \\ [/tex]
[tex] \sf 7 \times \dfrac{4}{21} = \dfrac{7}{1} \times \dfrac{4}{21} [/tex]
[tex] \\ [/tex]
Then, identify the value of a, b, c, and d:
a = 7b = 1c = 4d = 21[tex] \\ [/tex]
We can finally find our answer:
[tex] \\ [/tex]
[tex] \sf \dfrac{7}{1} \times \dfrac{4}{21} = \dfrac{7 \times 4}{1 \times 21} = \dfrac{28}{21} [/tex]
[tex] \\ [/tex]
Let's simplify our answer:
[tex] \\ [/tex]
[tex] \sf \dfrac{28}{21} = \dfrac{4 \times 7}{4 \times 7} = \boxed{\boxed{\sf \dfrac{4}{3}}} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the multiplication of two fractions here:
↦https://brainly.com/question/25774102
4.
A recipe for 12 cookies calls for 15 cups of milk, 2 cups of flour, and 1 cups of other
ingredients. How many total cups of milk, flour, and other ingredients are needed to make
24 cookies?
a) 103 cups
b) 116 cups
C) 11 cups
d) 103 cups
Answer:
2 cups of milk, 4 cups of flour, and 2 cups of other ingredients
Step-by-step explanation:
multiply them by 2
Type the missing number in this sequence:
5,
12, 19,
26,
Answer:
33
Step-by-step explanation:
You are adding 7 each time.
Hope this helps :)
Answer:
33
Step-by-step explanation:
Sequence is the progression of a number in a sequencial order.
[tex]5 + 12 + 19 + 26 + 33[/tex]please help giving brainliest and big points it would be greatly appreciated :))
Answer:
X = 4 , Y = b , Z = 2a
Step-by-step explanation:
2b(2ab)² - a(2b²)² ← expand parenthesis
= 2b(4a²b²) - a(4[tex]b^{4}[/tex]) ← distribute parenthesis
= 8a²b³ - 4a[tex]b^{4}[/tex] ← factor out 4ab³ from each term
= 4ab³(2a - b)
Compare terms to XaY³(Z - b)
with X = 4 , Y = b , Z = 2a
Graph the line with the slope of -4 and passing through ( 3, 5 ).
Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
PLEASE HELP FOR BRAINLIEST
Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2
Answer:
A
Step-by-step explanation:
7x + 3(x - 2) - 4x + 8
7x + 3x - 6 - 4x + 8
Combine like terms:
6x + 2
Hope this helps!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's Simply ~
[tex]7x + 3(x - 2) - 4x + 8[/tex][tex]7x + 3x - 6 - 4x + 8[/tex][tex]7x + 3x - 4x - 6 + 8[/tex][tex]6x + 2[/tex]Therefore, the correct choice is ~ A
bedmasss pls help)
8.8 - 2.2 x 4 + (5.4 – 4.2)
Answer:
1.2
Step-by-step explanation:
8.8 - 2.2 x 4 + 1.2
8.8 - 8.8 + 1.2
1.2
34.98+12.24=?
answers please
Answer:
Hello!
After reading your question I have calculated the correct answer to be:
47.22
Step-by-step explanation:
The way I solved this equation was I first split the equation into two parts.
I took the two whole numbers, being "34" and "12", and made their own equation:
"34+12=?"
And then I took the two partial numbers "0.98" and "0.24" and made their own equation:
"0.98+0.24=?"
I then solved both equations:
"34+12= 46"
"0.98+0.24= 1.22"
And added those two solutions together to come up with the final solution:
"46+1.22= 47.22"
Hope this helped!
Answer:
47.22 is the answer
Step-by-step explanation:
hope it helps you
BRAINLIEST
Can you help me finish these
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sides of a rectangle are 6.3 cm and 4.8cm, each correct to 1 decimal place.
Calculate the upper bound for the area of the rectangle.
Answer:
error= 0.1/2, 0.05
4.8 + 0.05 = 4.85
6.3 + 0.05 = 6.35
4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).
Step-by-step explanation:
What is 6 percent of 435000
Answer:
26,100
Step-by-step explanation:
[Given] 6 percent of 435000
[6% as a decimal] 0.06 of 435000
[Multiply] 26,100
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Mr Denmark has 28 students in his class he wants to see them in seven equal rows how many students will be nitro
HELP ASAP!!! So is this measuring tape in feet and meters??
Answer:
The top is the inches and the bottom is the cm.
Step-by-step explanation:
I might not be correct but I hope this works
A person travels 7/9 of a mile in 1/4 of an hour, how far will he travel in 1 hour
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
sir? sir? are u there? help me -_-
Answer:
a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.
However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]
b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.
However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.
Plug in values:
[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]
6-4x=7x-9x+2 whats the value
Answer:
x=2
Hope it's help
Brainliest plz
Answer:
x=2
Step-by-step explanation:
first collect the like term that is
6-2=7x-9x+4x
4=2x divide bothe sides by 2
X=2
How many quarters are there in 5 1/2
Answer:
Please mark as brainliest if you understood
Step-by-step explanation:
5 1/2
=11/2
=22/4
Therefore there are 22 quarters.
Find the slope of the line through each pair of points.
(19,-4), (-3,9)
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
x changes by -22 (from 19 to -3)
y changes by +13 (from -4 to 9)
the slope is +13/-22 = -13/22
what is the value of |-3.25| and what is the value of |4.25|
Answer:
3.25 and 4.25
Step-by-step explanation:
absolute value just makes the numbers positive
need help what is answer
Answer:
y=-4/3x+1 is the equation of the line perpendicular to 3/4x+5 and goes through the point 3,-3
Step-by-step explanation:
Note that the co-efficient before x is the slope, which i will call m, and a perpendicular line has a slope of -1/m.
-1/m=-4/3
so
y=-4/3x+z,
plug in 3 for x, and -3 for y to get z=1
y=-4/3x+1 is the equation
Match the expression to its simplified form
Answer:
2 exponent 5 = 32
5 exponent 3 = 125
2 - exponent 4 = 1/16
5 - exponent 2 = 1/25
Step-by-step explanation:
what is the slope of the line that passes through the points (-3, 1) and (1, -5)
A) 1/2
B) -1/2
C) -3/2
Answer:
[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]
Step-by-step explanation:
We are asked to find the slope of the line.
Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.
We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:
x₁ = -3 y₁ = 1x₂ = 1 y₂ = -5Substitute the values into the formula.
[tex]m= \frac{-5 -1}{1 - -3}[/tex]
Solve the numerator.
-5-1= -6[tex]m= \frac{ -6}{1--3}[/tex]
Solve the denominator. Two back-to-back negative signs become a positive sign.
1 - -3 = 1+3 =4[tex]m=\frac{-6}{4}[/tex]
Simplify the fraction. Both the numerator and denominator can be divided by 2.
[tex]m= \frac{-6/2}{4/2}[/tex]
[tex]m= -\frac{3}{2}[/tex]
The slope of the line is -3/2, so the correct choice is C.
Jalil mixed
3/
8 cup of sugar with
1
of water. How many more cups of water
than sugar did he use in his mixture?
Answer:
Jalil used 5/8 more cups of water than sugar
Step-by-step explanation:
Help pls, due in 10 mins
Answer:
B. 39
Step-by-step explanation:
134 is a supplementary angle, so 180-134=46. 46 is the bottom left interior angle of the triangle.
Next that 56 and the bottom right exterior angle are supplementary, so 180-56=124.
now we have the bottom right exterior angle, to find the interior 180-124=56.
Then we can set up the equation to find x:
56+46+2x=180
we have 180 because all triangles angle equal 180.
calculate the equation:
combine like terms, (2x)+(56+46)=180
2x+102=180
Subtract 102 from both sides,
180−102=78
2x=78
Divide both sides by 2.
78/2=39
x=39.
Pick two that helppppp please
Answer:
acute and scalene
Step-by-step explanation:
.
.
.
.
.
Answer:
Acute and Isosceles
Step-by-step explanation:
Acute= less than 90 degrees
Isosceles= two sides of equal length.
The product of a number t and 3 decreased by 1 is 11.Write an equation that models the verbal sentence. Solve the equation. What is the number?