Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
what 5-2 to the power of 5
Answer:
243
Step-by-step explanation:
(5-2) = 3
3 to the power of 5 is 3x3x3x3x3
3x3x3x3x3 = 243
Answer:
(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243
Step-by-step explanation:
Add -7d - 3 and 10d - 6. Show all steps.
Answer:
[tex]3d - 9[/tex]
Step-by-step explanation:
[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right
A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)
Answer:
117 yd/1 x 3 ft/1 yd = 351 ft
Step-by-step explanation:
[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]
A runner sprinted for 351 feet.
Given that, a runner sprinted for 117 yards (yd).
How to convert yards to feet?To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.
Here, multiply the ratio 117/1 by 3/1.
That is, 117 × 3 =351 ft
Therefore, a runner sprinted for 351 feet.
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Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
Answer: 0.08
Dont belive the dummy that said 0.30
Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
Given information:
Antonio's dad bought gas for their family's ATV two weeks in a row.
Last week, he bought 12 gallons for $35.40.
This week, he bought 9 gallons for $25.83.
So, the cost of one gallon for last week is,
[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]
The cost of one gallon for this week is,
[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]
So, the extra charge paid by his dad for the last week for one gallon will be,
[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]
Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
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https://brainly.com/question/13599569
NEED HELP PLEASE BEGGING PLEASE!!!!
Answer:
-54
Step-by-step explanation:
[tex]8(-9) - 6(-3)\\[/tex]
Multiply 8 by -9 and 6 by -3
[tex]-72 - (-18)[/tex]
Subtract[tex]Value = -54[/tex]
Hope this helps
plz mark brainliest
PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:
Answer:
a. 3x-12= -18 b. x=-2
Step-by-step explanation:
Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)
(3,5)
Step-by-step explanation:
Answer:
5,0
Step-by-step explanation:
Use the website Desmos to help u in this question
A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?
Answer:
1.91666667
Step-by-step explanation:
7 times 3/4 = 5.25
5.25 - 3 1/3 = 1.91666667
Can somebody please help?
Answer: C
Step-by-step explanation: I could tell just by looking at the first two, they’re negative
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5
Answer:
[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]
Step-by-step explanation:
[tex] \text{5x + 4 + 2x + 5}[/tex]
[tex] \text{Combine \: like \: terms} : [/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]
➝ [tex] \text{ 7x + 4 + 5}[/tex]
[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]
[tex] ➝ \: \text{7x + 9}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \mathfrak{TheAnimeGirl}[/tex]
Answer:
7x + 9
Step-by-step explanation:
Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.
5x+2x = 7x
5+4 = 9
therefore:
7x+9
What is the square root of 51.84
1. (3x + 7) + (8x + 2)
Calculate the unit rate for each option of Takis, explain which option is better,
and why?
Answer:
they are better because they are cheeper than the other
What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
Answer:
2.1 * 10 ^3
Step-by-step explanation:
5.67 * 10 ^7 ÷2.7 x 10^4
Divide the numbers
5.67 / 2.7 =2.1
Divide the exponents
10^7 / 10 ^4
Remember when dividing power, we subtract the exponents
10 ^(7-4) = 10^3
Put this back together
2.1 * 10 ^3
Verify that this is in scientific notation
Since this is in scientific notation, we are done
Answer:
2.1x10 to the power of three
Step-by-step explanation:
\frac{5.67\times 10^7}{2.7\times 10^4}
2.7×10
4
5.67×10
7
Divide them.
\frac{5.67}{2.7}\times \frac{10^7}{10^4}
2.7
5.67
×
10
4
10
7
Divide numbers and 10's separeately.
2.1\times 10^3
2.1×10
3
Subtract exponents.
HELP PLEASE HELP I’m doing geometry please help
Answer:
(4x - 10) + x = 90 degrees
x = 20
CORRECT ANSWER WILL GET BRAINLIEST AND 20 points
A business is using a catering company for an event. The catering company is offering three different meal options. The equation y = 8.50x + 45.00 can be used to predict
the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A
The company charges an initial fee of $8.50.
B
The company charges an initial fee of $45.00.
The cost increases by $8.50 for each person who attends the event.
The cost increases by $45.00 for each person who attends the event.
Answer:
The cost increases by $8.50 for each person who attends the event.
Step-by-step explanation:
The company charges an initial fee of $45.00
The cost increases by $8.50 for each person who attends the event.
The correct options are B and C
As per the given data:
The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.
By comparing this equation with the slope intercept form y = mx + c
slope(m) = 8.50
We can find out the initial fee charged by the company by substituting
x = 0 {zero people}
y = 8.50(0) + 45.00
y = $45.00
For increase in cost with each person attending the event:
Cost for 2 persons - Cost for 1 person
= 8.50(2) + 45.00 - [8.50(1) + 45.00]
= 8.50(2) - 8.50(1)
= $8.50
This is the slope of the line
Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.
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simplify the expression (5x^7)^2
Answer:
25x^14
Step-by-step explanation:
What is the slope of line that passes through the points -2,4 and 1,-1
Answer:
-5/3
Step-by-step explanation:
-2 to 1 =3 x=3
4 to -1=5 y=-5
y/x slope=-5/3 or -1 2/3
338 points in 16 games. how many points did they make per game?
Find y into the nearest hundredth place
Answer:
12.43ft
Step-by-step explanation:
From the given diagram, we simply apply the sin rule
According to the sine rule
=
y is the side y
y° = (90 - 43) = 47
z = 17
z° = 90
Input the parameters and solve;
[tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]
ysin 90 = 17 sin 47
y = 12.43ft
value of 3b^2 - 5c^3 if b = 2 and c = -1
Answer:
17
Step-by-step explanation:
3(2)^2 - 5(-1)^3
3(4) - 5(-1)
12 + 5
17
What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6
Step-by-step explanation:
option b is the correct answer
What is the slope of the line that passes through the points (-5,7) and (10, 1)?
А
m = 5/2
B
m = -5/2
С
m = -2/5
D
m = 2/5
The points are (-5,7) and (10,1). The slope of the points is -2/5.
How to calculate a slope ?Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.
Given that,
The points are (-5,7) and (10,1).
We have to find the slope of the points.
The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,
Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Here,
x₁=-5,
y₁=7
x₂=10
y₂=1
Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]
Slope of the points =(-6)/(15)
Slope of the points = -2/5
Therefore, the slope of the points is -2/5.
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Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.
lindsey and Oscar have been selling popcorn for a class fundraiser. Oscar sold three times as many bags of popcorn as Lindsey. together they have sold a total of 92 bags of popcorn. how many bags did Oscar sell?
Answer:
Oscar= 69
Step-by-step explanation:
92/4 = 23
23 times 3=69
Help me out please I'll give brain list
Answer:
b
Step-by-step explanation:
hope this helps
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation: