Mr Todd buys 7 drinks at 48p each and 8 drinks at 52p each. What is the total cost of the 15 drinks?
Answer:
80p
if you are adding 4p every time you add a drink you will be adding 7 drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p
Hope this helps
2(x + 4) − 1 = 2x + 7
Answer:
All real numbers are solutions to this problem.
Step-by-step explanation:
I) Simplify:
2(x + 4) - 1 = 2x + 7
x + 4 - 0.5 = x + 3.5 (Divide by 2)
x + 3.5 = x + 3.5 (Simplify x + 4 - 0.5)
x = x
II) Conclusion:
Any real number will work as a solution.
In the parallelogram below find the value of each variable. Hint: find the value of t first
Answer:
because this is a parallelogram
=> 3t - 15 = 2t + 10
⇔ t = 10 + 15
⇔ t = 25
with t = 25 => 3t - 15 = 3.25 - 15 = 60
we also have:
4r + (3t - 15) = 180°
⇔ 4r + 60° = 180°
⇒ 4r = 120°
⇔ r = 30
we also have;
4r = 3s
=> 4.30 = 3s
⇔ s = 4.10
⇔ s = 40
Step-by-step explanation:
You can use the fact that sum of all angles of a parallelogram is 360 degrees and the sum of two adjacent angles in a parallelogram is 180 degrees.
The value of the variables used in the figure are:
r = 30
s = 40
t = 25
What are some useful properties of angles of a parallelogram?Sum of all angles of a parallelogram is 360 degrees.Sum of two adjacent angles in a parallelogram is 180 degrees.Using the above facts to find the values of specified variables[tex]4r + (3t - 15) + (2t + 10) + 3s = 360^\circ\\4r + 3s + 5t = 365[/tex]
And
[tex]3t - 15 + 4r = 180 \cdots (1)\\3t - 15 + 3s = 180\cdots (2)\\3s + 2t + 10 = 180\cdots (3)\\4r + 2t + 10 = 180\cdots (4)[/tex]
We get 2 systems of linear equations.
First system consists of equation 1 and equation 4
Second system consists of equation 2 and equation 3
From equation 1 and 4, as both's left side is equal to 180, thus they are equal too, or
[tex]3t - 15 + 4r = 4r + 2t + 10\\3t - 2t = 4r - 4r + 10 + 15\\t = 25[/tex]
Putting it in equation 1, we get:
[tex]3t - 15 + 4r = 180\\3 \times 25 + 4r = 180 + 15\\75 + 4r = 195\\\\r = \dfrac{195 - 75}{4} = 30[/tex]
Putting the value t = 25 in second equation, we get:
[tex]3t - 15 + 3s + 180\\3 \times 25 - 15 + 3s = 180\\60 + 3s = 180\\\\s = \dfrac{180 - 60}{3} = 40[/tex]
Thus, the values of the specified variables in the given graph are:
r = 30
s = 40
t = 25
Learn more about system of linear equations here:
: https://brainly.com/question/13722693
Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?
0.8 foot × 1.2 feet
0.4 foot × 0.6 foot
0.08 foot × 0.12 foot
0.04 foot × 0.06 foot
Answer:
A
0.8 foot × 1.2 feet
Step-by-step explanation:
What is AC for brainliest
•Triangle 1
#Find CD first use tan formula
tan(∅) = opposite / adjuscent
tan(45) = CD / 5
CD = 5 × tan(45)
CD = 5
•Triangle 2
#Now you can find AC use Pythagoras theorem (c = AC)
a² + b² = c²
4² + 5² = c²
16 + 25 = c²
41 = c²
c = √41
c = 6.4
so, AC is 6.4
#Give me brainliest ok? im tired writing all of this
Find the equation of the line.
Answer:
y=1/2 +1.5
Step-by-step explanation:
y intercept = 1.5
gradient = rise over run = 1/2
y = 1/2 +1.5
Answer:
[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+b[/tex] when [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the y-coordinate of the point where the line crosses the y-axis)
1) Find the slope ([tex]m[/tex])
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
We can use any two points on the line to plug into this equation, but it's often easiest to use points that have whole-number coordinates. For example, we can use the points (1,-1) and (3,0).
[tex]m=\frac{0-(-1)}{3-1}[/tex]
Two negatives make a positive
[tex]m=\frac{0+1}{3-1}\\m=\frac{1}{2}[/tex]
So far, our equation looks like this:
[tex]y=\frac{1}{2}x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
We're told to approximate the y-intercept based on what appears to be true in the graph. In the graph, we can see that the y-intercept appears to occur when y=-1.5, or when y=[tex]-\frac{3}{2}[/tex]. Therefore, [tex]b=\frac{-3}{2}[/tex].
Now, after plugging both [tex]m[/tex] and [tex]b[/tex] into our equation, our final equation looks like this:
[tex]y=\frac{1}{2}x+\frac{3}{2}[/tex]
I hope this helps!
What is the equation of the graph given?
Answer:
y=2/3x+1/3
Step-by-step explanation:
I believe this is it if I'm not mistaken
A pound of blueberries cost $3.98 and a pound of clementines cars $2.49 what is the combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines
How long is the missing side length?
1 point
12.2
4.6
7.6
11.3
ОО
ОО
127.7
196
Answer:
Figure it out
Step-by-step explanation:
What would Hope be attempting to find if she writes d(4) = 78(4)?
Answer:
d=78
Step-by-step explanation:
so you would divide both sides of the equation by 2×2
d×4÷(2×2)=78×4÷(2×2) <- you would do this to get rid of 4 so you cna get the d alone
d=78×4÷(2×2) <- thats the other side of the equation btw
then it would be:
d=39×2
d=78
y = 5x - 1
10x - 2y = 2
Answer:
0 = 0 => Infinitely many solutions
Step-by-step explanation:
Please help me. Thank you so much
Answer:
x = 10
Step-by-step explanation:
Given
WXYZ ~ TUVZ, which of the following is not true?
Answer:HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
never saw that before
the root of equation 1/x-1 +1/x-2 = 1/x-3
Answer:
The roots of the quadratic equation are , .
Step-by-step explanation:
The roots of the quadratic equation are , .
Step-by-step explanation:
As given the equation in the form
Simplify the above equation
(x-2)-x = 3x × (x-2)
x-2 - x = 3x² - 6x
3x² - 6x + 2 = 0
As the equation is written in the form ax² + bx + c = 0
a = 3 , b = -6 , c = 2
Put all the values in the above equation
Thus
Therefore the roots of the quadratic equation are , .
i need to make equations with the models
Answer:
I dont know ask someone else I just here for the points
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!
PLS I RLY NEED IT RN!!!
Answer:
Step-by-step explanation:
one point is (-2,5)
5y-25=-11x-22
11x+5y=25-22
11x+5y=3
5y=3-11x
[tex]y=\frac{3-11x}{5} \\x=-2,y=5\\x=3,y=-6\\[/tex]
so points are (-2,5) and (3,-6)
draw a line through these points.
Graph the equation y=1/2x+5
Answer:
This is what it should look like:
Please help with this! I will mark brainliest!!! Explain your answer
Answer:
F and C
Step-by-step explanation:
None needed :)
F and C is the correct answer to the question
6th grade math help me pleaseeee
Answer:
Top left
Step-by-step explanation:
Look at the numbers it's going through. The x axis is the one going side to side, y is up and down
Can someone help me with this?
What is the equation that best represents the relationship between x and y in the graph?
Answer:
y= -3/4x-3
Step-by-step explanation:
m= -3/4
y-int.= -3
Can you Help me please lol
Answer:
Slope is 4/5
Step-by-step explanation:
The two points are (3,3) and (-2,-1)
The slope formula is Y2-y1 / x2-x1
So substituting in
-1-3/ -2 -3
-4/-5 = 4/5
You can check it by "walking" up 5 and over to the right 4 on the graph and see that it works.
F(3)=?
f(x)=2x^2+x+7
Expression 3x²+4x-5
x=0
Answer:
x = {1/3, 0}
Step-by-step explanation:
-4x-3(-44-23)=13
please show the work, i’ll mark brainliest
Answer:
47
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x−3(−44−23)=13
Step 1: Simplify both sides of the equation.
−4x+201=13
Step 2: Subtract 201 from both sides.
−4x+201−201=13−201
−4x=−188
Step 3: Divide both sides by -4.
−4x
−4
=
−188
−4
x=47
how do u write an expression for "twenty times a number less than two."
a.2 - 20y
b.20y-2
c.20 (y-2)
Answer:
20(y-2)
Step-by-step explanation:
what is the answer 1/2(4t + 6) = 25
Answer:
( 11 2 + y ) ( 11 2 + y ) = 8
Step-by-step explanation:
Answer:
t=11
Step-by-step explanation:
Step 1: Simplify both sides of the equation
1/2(4t+6)=25
(1/2)(4t)+(1/2)(6)=25
2t+3=25
Step 2: Subtract 3 from both sides
2t+3−3=25−3
2t=22
Step 3: Divide both sides by 2
2t/2 = 22/2
22 divided by 2 is 11
Could someone help I’m so confused
Answer:
6/4
Step-by-step explanation:
ratio of x to y is the slope so
you can use butterfly method/cross multiply (multiply numerator on one side to the denominator on the other to bring all the terms up and then solve for y)
4(y+3)=6(x+2)
4y+12=6x+12
y=6/4x
so it would be 6/4
A machine produces 80 boxes per
minute. How many boxes does the
machine produce 2 hours?
A. 220
B. 13,200
C. 29,100
D. 6,600
Answer:9,600 boxes
Step-by-step explanation:
60 mins in 1 hr = so 120 minutes in 2 hrs
80 boxes/ per minute
so 80 x 120 minutes = 9,600 boxes
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the other.
Answer:
12 km/h and 10 km/hStep-by-step explanation:
Let the speed of Masha = s, speed of Dasha = d
Distance = 20 kmTime difference = 20 min = 1/3 hrSpeed difference = 2 km/hAs per above info we get following equations:
s = d + 220/s + 1/3 = 20/dSubstitute s and solve for d:
20/(d + 2) + 1/3 = 20/dGet rid of fraction by multiplying all terms by 3d(d + 2):
60d + d(d + 2) = 60(d + 2)60d + d² + 2d = 60d + 120d² + 2d = 120d² + 2d + 1 = 121(d + 1)² = 11²d + 1 = 11d = 10Find s:
s = 10 + 2 = 12The answer is
Masha's speed 12 km/h and Dasha's speed 10 km/h