Given:
Mark has only used 8.5% of a 34-oz bottle of shampoo.
To find:
How many ounces has he used?
Solution:
According to the question,
Shampoo used by Mark = 8.5% of a 34-oz
[tex]=\dfrac{8.5}{100}\times 34\text{-oz}[/tex]
[tex]=0.085\times 34\text{-oz}[/tex]
[tex]=2.89\text{-oz}[/tex]
Therefore, he used 2.89-oz of shampoo.
Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the amount of each solution used. A table titled Bleach Solution showing Cups, Bleach concentration, and Total. The first row shows 10 percent Bleach with 5, 0.10, and 0.5. The second row shows, 25 percent bleach, with x, 0.25, and 0.25 x. The third row shows Mixture, with 5 plus x, 0.20, and 3. What is the value of x? 1 3 10 24 Mark this and ret
Answer: 10
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The value of V8 is between which two integers?
7 and 9
49 and 81
2 and 3
3 and 4
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[tex] \sqrt{4} < \sqrt{8} < \sqrt{9} [/tex]
Thus :
[tex]2 < \sqrt{8} < 3[/tex]
So √8 is between 2 and 3 ,
Which means option three is the correct answer.
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Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?
Answer:
The correct option is;
d) CPCTC
Step-by-step explanation:
The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven
Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;
Vertex D corresponds to vertex C
Vertex O corresponds to vertex A
Vertex G corresponds to vertex T
Therefore, given that ΔDOG ≅ ΔCAT, we have;
∠D ≅ ∠C by CPCTC
∠O ≅ ∠A by CPCTC
∠G ≅ ∠T by CPCTC.
A manufacturing company produces x units this week and wants to increase its weekly output by 135 units by next week. The company hopes to make 1450 units next week. Which equation can be used to find x?
Answer:
x + 135 = 1450
Step-by-step explanation:
It says that they are trying to increase the output by 135 so you have the variable to show how much they have to make to reach there goal of 1450 next week
I hope this helped you!
PLEASE HELP FAST. WILL GIVE BRAINLESS!!!! Which values of a, b, and c represent the answer in simplest form?
Answer:
a = 1, b = 3, c = 4Step-by-step explanation:
7/9 ÷ 4/9 = a b/c7/9 × 9/ 4 = a b/c7/4 = a b/c1 3/4 = a b/ca = 1, b = 3, c = 4Option 2 is correct
please help im being timed
jeremy recived a bill with a balance due of $25.60. after an error was corrected, the new balance due was 1/4 of the original balance due, what is his new balance due
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
(-1,0)
(-1,3)
Find the rate
Answer:
The answer is 3/0, which is undefined/∞
Step-by-step explanation:
3-0=3
-1+1=0
3/0= undefined or ∞
Which number on the number line is 4 less than 6?
Answer:
2
Step-by-step explanation:
6-4=2
Answer:
2
Step-by-step explanation:
2 is the answer
Help pwease :( will give brainliest.
Answer:
a. $7
b. $x
c. $20
d.$5y
e.$x + $5y
Using the slope and the y-intercept, graph the line represented by the following equation. Then identify the figure showing that graph.
2y+4=0
The graph will be Option C. passing through the point y = -2
The equation of line is y = -2 and the graph will be passing through the point y = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Now , the equation of the line is given by
2y + 4 = 0
Subtracting 4 on both sides , we get
2y = -4
Divide by 2 on both sides , we get
y = -2
Therefore , the equation of line is y = -2
So , the line graph will be having a straight line 2 units down on the negative y-axis
Hence , the equation of line is y = -2 and the graph will be passing through the point y = -2
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Please help easy questions (:
Answer:
1. x=66
2. x=-3
Step-by-step explanation:
1. x\6-2=9
add 2 to both sides
x\6=11
multiply both sides by 6
x=66
2. -7(3x-4)=91
distribute -7 into parenthesis
-21x+28=91
subtract 28 from both sides
-21x=63
divide both sides by -21
x=-3
Answer:
1: 66 2: -3
Step-by-step explanation:
9+2=11
11=x/6
x=66
-21x+28=91
91-28 = -21x
63=-21x
x = -3
After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip for the waiter based on the pre-tax am
Answer:
$99.84Step-by-step explanation:
Step one:
given data
we are told that before tax the bill is pretax= $78
the tax is 8%
and he left 20% of the pretax for the attendant.
Step two:
let us find the amount he paid for eating with tax
=8/100*78
=0.08*78
=$6.24
with tax the meal cost is
= 78+6.24
=$84.24
let us solve for the tip he left (note: it is 20% of the pretax)
=20/100*78
=0.2*100
=$15.6
the tip is $15.6
Step three:
the total amount he paid after eating plus tax and tip is
78+6.24+15.6
=$99.84
Answer:
99.84
Step-by-step explanation:
In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
sin26∘≈0.44
cos26∘≈0.90
tan26∘≈0.49
What is the measurement of EF?
If necessary, round your answer to two decimal places, like this: 42.53
The table contains data on the number of people visiting a historical landmark over a period of one week. Which type of function best models the relationship between the day and the number of visitors?
A. A quadratic function with a positive value of a
B. A square root function
C. A linear function with a positive slope
D. A quadratic function with a negative value of a
Hence , it is to be quadratic function where a has to be less than zero.
Given that ,
The table contains data on the number of people visiting a historical landmark over a period of one week.
We have to find,
The relationship between the day and the number of visitors.
According to the question,
[tex]y = a\sqrt{x} + b[/tex]
And where x = no. of days = 1
y = no. of visitors = 45
45 = a [tex]\sqrt{1}[/tex] + b
45 = a + b
And When x = 2 and y = 86
86 = [tex]a\sqrt{2} + b[/tex]
Solving the equation for the values of a and b.
From equation 1
45 - a = b
Put the value of b in equation 2
86 = [tex]a\sqrt{2}[/tex] + 45 - a
86 - 45 = [tex]a \sqrt{2} - a[/tex]
41 = a ([tex]\sqrt{2} - 1[/tex] )
[tex]a = \frac{41}{\sqrt{2} - 1 }\\\\a = \frac{41}{0.41}[/tex]
a = 100
Put the value of a = 100
45 = 100 + b
45 - 100 = b
b = -55
The required equation is y = 100[tex]\sqrt{x}[/tex] -55.
When x = 4
[tex]y = 100\sqrt{2} - 55\\\\ y = 100 ( 1.4 ) - 55\\\\y = 140 - 55\\\\y = 85[/tex]
And when x = 5
[tex]y = 100\sqrt{5} - 55\\\\y = 223.5 - 55\\\\y = 168.60[/tex]
y = 168 ( approx )
Therefore, 168 ≠ 158
Since the function rises less and less in later stage , it can not be a first order function.
So, it is to be quadratic function where a has to be less than zero.
For more information about quadratic equation click the link given below.https://brainly.com/question/2263981
You want to build a fence around a rectangular yard that is 15 ft. Wide and 25 ft. Long. Find the perimeter of the yard. If fencing costs $6.25 per foot, how much will the fence cost?
Answer:
$500
Step-by-step explanation:
25*2=50
15*2=30
15(2)+25(2)=80
80(6.25)=500
Last year, the number of students enrolled in a school was 847. If this number increases by 9% the next year, how many students will there be?
Answer:
Original answer: 923.23
Can't have a fraction of a student, so I'd probably say 923
Step-by-step explanation:
Initial students: 847
Interest: 9%
You want 109%
Multiply: 847(1.09)
Fill in the chart below using the information for Credit Card Finance. Mike starts with $1299.99 and an APR of 18% and makes no new purchases. The minimum payment is always 7%.
Answer:
Step-by-step explanation:
Step one:
given data
P= $1299.99
r=18%= 0.18
minimum rate r= 7%
t=1year
say the account is on simple interest the maximum payment is when the APR is 18%
A=P(1+rt)
A= 1299.99(1+0.18*1)
A= 1299.99(1.18)
A=1533.9882
$1533.9882
The minimum amount is when APR ia 7%
A=P(1+rt)
A= 1299.99(1+0.07*1)
A= 1299.99(1.07)
A=1390.9893
$1390.9893
slope = 2/5 and passes through (-3, 1)
Answer:
y = 2/5x + 1/5
Step-by-step explanation:
y - y1 = m(x - x1)
y - 1 = 2/5(x - (-3))
y - 1 = 2/5(x + 3)
y - 1 = 2/5x + 6/5
y = 2/5x + 6/5 - 5/5 (since 1 equals to 1/1, 2/2, 3/3, etc.)
y = 2/5x + 1/5
PLZ HELP!!! I NEED THIS ASAP!!
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 17 degrees and angle BDC has a measure of 52 degrees. The measure of angle ABD is __ degrees
A-163
B-142
C-76
D-159
E-141
Answer:
D-159
Step-by-step explanation:
The required measure of angle ABD is 142°. Option B is correct.
Given that,
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 17 degrees and angle BDC has a measure of 52 degrees.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not greater than 180°
Here,
According to the question,
ΔBDC,
∠BDC + ∠BCD + ∠DBC = 180
52 + 52 + ∠DBC = 180
∠DBC = 180 - 104
∠DBC = 76°
Now,
∠ABD = 360 - ∠DBC / 2
∠ABD = [360 - 76] / 2
∠ABD = 284/2
∠ABD = 142°
Thus, the required measure of angle ABD is 142°. Option B is correct.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
For the right triangle shown, the lengths of two sides are glven. Find the third side. Leave your answer in simplified,
radical form.
B.
с
a
b
b = 9, C = 16
415
6 8
910
lab
Answer:
a = 5√7
Step-by-step explanation:
Sides of a right triangle follow the Pythagoras theorem,
By Pythagoras theorem,
(AB)² = (BC)² + (AC)²
c² = a² + b²
If b = 9 and c = 16,
(16)² = a² + 9²
256 = a² + 81
a² = 256 - 81
a = √175
a = 5√7
Therefore, measure of third side a = 5√7
What degree does the polynomial 9x6y5-7x4y3+3xy4
help pleaseee and explain!!
Answer:
D
Step-by-step explanation:
Its an abs value so you have to solve twice. Once for d - 3.5 < or equal to 1.5 which equals 5. You also have to solve for d - 3.5 > or equal to -1.5 which equals 2. So on the graph it has to be less than 5 and greater than 2 so you just connect the two and draw the line over the numbers in between the 2 and 5.
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
Composition and inverse
Consider the functions
Rearrange the equation y = 4x – 5 to find x in terms of y.
We have:
y = 4x - 5
Lets add 5 in each member:
y + 5 = 4x - 5 + 5
y + 5 = 4x
Divide the entire equation by 4:
[tex]\dfrac{y+5}{4} = \dfrac{4x}{4}\\\\\dfrac{y+5}{4} = x\\\\x = \dfrac{y+5}{4}\\\\\boxed{x = \dfrac{y}{4} + \dfrac{5}{4}}[/tex]
Students had two options for lunch, either a taco salad or a hot dog.
The ratio of taco salads to hot dogs is 3:1.
If a total of 80 lunches were served, how many were hot dogs?
Answer:
ok, so the answer would be 27 hot dogs and 53 tacos salads
Step-by-step explanation:
please help me it’s urgent
Step-by-step explanation:
i hope i didnt answer too late i see that ot says 7 min remaining but oh well
the answer
equation: (7x-13)+(x+29)+(3x + 5) = 180 (the reason why i put = to 180 is because every triangle adds up to 180 degrees)
first of all add the numbers: 29-13+5 = 21--- then add variables: 7x+3x+x= 11x
you get ur equation as: 11x + 21 = 180--- 180-21=11x---159=11x--- 159/11=14 9/20
x = 14 9/20 permiter = 88.15 + 43.45 + 48.35 = 179.95
really hope this helps :) good luck
Help me asap
The hanger image below represents a balanced equation. Write an equation to represent the image.
Answer:
1/5 + 2/5 = 3/5
Step-by-step explanation:
your welcome
Answer:
1/5+z=3/5
Step-by-step explanation:
How can you drop two eggs the fewest amount of times, without them breaking?
Answer:
Possible
Step-by-step explanation:
This is done on any floor, the highest or the lowest. Simply drop the egg from one inch above your foot and it will not break. every answer above is wrong. The only way, having 2 eggs, is to starts from the 2º floor.
Find the area of the trapezoid.
bı = 5, b2 = 7, h = 4
The area is
square units
Answer:
24 square units
Step-by-step explanation: