Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 112 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
Answer:
97 minutes
Step-by-step explanation:
Need help -5(1+2k)-8(-4+5k)
Answer:
27 - 50k
Simplify
1. Distribute
-5 ( 1 + 2k ) - 8 ( -4 + 5k )
-5 - 10k - 8 ( -4 + 5k )
2. Distribute
-5 - 10k - 8 ( -4 + 5k )
-5 - 10k + 32 - 40k
3. Add the numbers
-5 - 10k + 32 - 40k
27 - 10k - 40k
4. Add the same term to both sides of the equation
27 - 10k - 40k
27 - 50k
The price of a computer fell 20% this year. If the computer now costs $750, how much did it cost last year?
(step-by-step if possible)
Answer:
$937
Step-by-step explanation:
P(1-20/100)=750- 1 is the object the you take away the percentage that is in
fraction form
P(1-.2)=75-take it from fraction form to decimal form
P(.8)=750-this is the final product of the equation above
750/.8-Take the current price and the decimal and divide
75000/80- take the .8 and add two 0's to get the whole accurate amount
937.5-Price before the price fell
Sorry I'm not the best at explaining things hoped this helped!
-8 1/6 into decimal form
Answer:
-7.83333333333
Explanation:
Convert -8 1/6 into an improper fraction-8 1/6: -47 / 6To turn a fraction into a decimal divide the numerator by the denominator
-47 ÷ 6
= -7.83333333333
4. Which expression represents a number greater than 8,000 but smaller than 80,000
Answer:
8000<x<80000
Step-by-step explanation:
a number(x) is greater than (<) 8000
and x is also less than(<) 80000
A bag has 16 blue, 20 red, and 24 green marbles. What fraction of the marbles in the bah are blue?
Answer:
4/15
Step-by-step explanation:
total: 16 + 20 + 24 = 60
16 are blue
then:
the fraction of blue marbles:
16/60 = 4/15
What is the slope of the line in the graph?
Edit: I have poor vision! My anwser was incorrect
Answer: m= -3/4
Step-by-step explanation:
can start by looking at the squares of the graph and do the rise over run
. Since it goes down it’s fall over crawl. -3/4
Determine that table of values for these simultaneous equations.
5x+y=7
3x-y= 1
Answer:
What we suppose to be answering?
Step-by-step explanation:
State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?
Answer:
Step-by-step explanation:
C
The lines are have one solution and are consistent and Independent.
What is Consistent and Inconsistent?Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.
Given:
y = 0.5x
2y = x + 4
Now solving the Above Equation
2(0.5x) = x+ 4
x = x+ 4
0 = 4
and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]
Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]
Then, the lines are have one solution and are consistent and Independent.
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How many quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution?
Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
2 quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution.
Looking at the concentrations.
100% of x quarts is x quarts of antifreeze.
30% of 5 quarts is .3(5) quarts antifreeze.
Adding that we have 5+x quarts and we want
50% of that to be antifreeze so the total is
.5(x + 5)
x + .3(5) = .5(5+x)
x + 1.5 = 2.5 + .5x
x - .5x = 2.5 - 1.5
.5x = 1
x = 1/.5 = 2 quarts pure antifreeze.
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What are the values of the two 3s in 3,435?
Answer:
The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.
Answer: 3,435
Least place value to largest largest place value-
5-ones place
3-tens place
4-hundreds place
3-thousands place
I hope that worked!
ASAP!!! I WANT MORE THAN 1 PERSON TO ANSWER THIS!!!
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
Segment EF is twice as long as segment AB.
True/false
B. Segment CD is twice as long as segment FG.
True/false
C. The measure of angle HEF is twice the measure of angle DAB.
True/false
D. The length of segment EH is 16 units.
True/false
E. The measure of angle BCD is the same as the measure of angle GFE.
True/false
Answer: True, False, False, True, False
Step-by-step explanation:
Since the two quadrilaterals are similar, for question A your answer of True is correct since EF would scale to be twice as long as AB. For the second question the reverse logic applies. For Question C EH is 16 units since 8x2 is 16. For the last question, since BCD does not corresponds to GFE, it is false. Angle BCD has a vertex at point C and GFE has a vertex at point F. Since C does not correspond to F, the angles are not the same.
6 2/3 miles ➕ 4 11/16 =
Answer:Add up fractions. The answer is 11 17/48
Step-by-step explanation:
hope this helps!
Answer: 11 7/20 miles
Step-by-step explanation: Add 6 and 4 to get 10, and add 2/3 and 11/16 to get 1.35 or 1 7/20 to get 11 7/20.
Have a nice day! :)
Find Slope (3,-4)and(9,-4)
Answer:
The slope is zero (0)
Step-by-step explanation:
-4-(-4)/ 3-9
0/-6
0
6^-2 = PLEASE HELP .....................................................................
Answer:
6^-2 =0.02777777777
Step-by-step explanation:
solve: 3(2x+1)-2(x-5)-5(5-2x)=16 value of x?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \displaystyle{ \star{ \: \: \underline{ \sf{given \: equation}}}}[/tex] :
[tex] \sf{3(2x + 1) - 2(x - 5) - 5(5 - 2x) = 16}[/tex]
Distribute 3 through the parentheses
[tex] \mapsto{\sf{6x + 3- 2(x - 5)- 5(5 -2x) = 16}}[/tex]
Distribute 2 through the parentheses
[tex] \mapsto{ \sf{6x + 3 - 2x + 10- 5(5 - 2x) = 16}}[/tex]
Distribute 5 through the parentheses
[tex] \mapsto{ \sf{6x + 3 - 2x + 10 - 25 + 10x = 16}}[/tex]
Combine ike terms and simplify it
Like terms are those which have the same base
[tex] \mapsto{ \sf{6x - 2x + 10x + 3 + 10 - 25 = 16}}[/tex]
[tex] \mapsto{ \sf{4x + 10x + 3 + 10 - 25 = 16}}[/tex]
[tex] \mapsto{ \sf{14x + 3 + 10 - 25 = 16}}[/tex]
Add the numbers : 3 and 5
[tex] \mapsto{ \sf{14x + 13 - 25 = 16}}[/tex]
The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \mapsto{ \sf{14x - 12 = 16}}[/tex]
Move 17 to right hand side and change it's sign
[tex] \mapsto{ \sf{14x = 16 + 12}}[/tex]
Add the numbers: 16 and 17
[tex] \mapsto{ \sf{14x = 28}}[/tex]
Divide both sides by 14
[tex] \mapsto{ \sf{ \frac{14x}{14} = \frac{28}{14}}} [/tex]
Calculate
[tex] \mapsto{ \boxed{ \sf{x = 2}}}[/tex]
The value of x is 2
Hope I helped!
Best regards!
~TheAnimeGirl
Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?
Answer: The values of both x and y will be real numbers greater than or equal to 0
Step-by-step explanation: because pounds and price cannot be a negative amount here. So either you're buying 0 or buying more than 0.
The thing that best describes the values of x and y is that they will be real numbers greater than or equal to 0
What is a Real Number?
This refers to the union of both rational and irrational numbers that can have negative or positive values.
From the given information:
Peaches are being bought and sold
There is no negative value used
The conclusion that can be reached as to the values of x and y is that they contain real numbers greater than or equal to 0
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Round 2,516 to the nearest hundred.
Answer:
2,500
Step-by-step explanation:
Compare the number of stars to the number of circles. If the ratio remains the same, how many stars will there be when there are 15 circles?
There is 4 stars 3 circles
Answer:
the answer is 20 because if you want to keep the ratio the same, you have to multiply 3 by 5 to get 15 right? and so 4 times 5 is 20. see if it works
Step-by-step explanation:
what is the area of a small triangle.
Answer:
u can figure it out by using the formula 1/2 the base x height
Step-by-step explanation:
Answer:
to find the area of a triangle you will do A(area)=h(height)times b(base) over 2
Giselle bought a dress for $35 and three t-shirts. She used a coupon for $2.50 off each t-shirt. The total cost can be modeled by the expression 35 + 3(n - 2.5) . What does n - 2.5 represent?
In a certain field, the ratio of pigs to sheep is 8 3 . If there are 165 pigs and sheep altogether in a field, how many sheep are there?
Answer:
440 I think haven't done these questions in a while.
The speed limit for Stadium Drive is 45 miles per hour. Generate at least 3 different interpretations of the rate 45 miles per hour. Provide support/reasoning for each of your answers.
Step-by-step explanation:
The solution to this problem requires that we find other units besides the given one
1. ft/sec
2. km/h
3.m/s
1. converting to ft/sec
1 mile is 5280 ft
[tex]=\frac{45mile}{hour}* \frac{5280feet}{1 mile} *\frac{1 hours}{3600 secs} \\\\=66 ft/sec[/tex]
2. converting to km/h
1 mile is 1.60934
[tex]=\frac{45mile}{hour}* \frac{1.60934km}{1 mile} *\frac{1 hours}{1hour} \\\\=72.42km/h[/tex]
3. converting to m/s
1 mile is 1609.34
[tex]=\frac{45mile}{hour}* \frac{1609.34km}{1 mile} *\frac{1 hours}{3600 sec} \\\\=20.11m/s[/tex]
A large rectangular movie screen in an IMAX theater has an area of 7,544 square feet. Find the dimensions of the screen if it is 10 feet longer than it is wide length= width=
Answer:
61.37
Step-by-step explanation:
this is i believe the correct answer but i could still be wrong cause x times x is x square but i am not so sure how much that really matters
take x as the width
x plus 10 as the length
2x plus 10 equals 7544 squared
so square root 7544 minus 10 divided by 2
note that it must be done all at once u cant do it seperately
x is 61.37 dont forget to add 10
- The area of a triangle is 9.45 m2. If the base is 2.65 m, what is the height?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{height = 7.13 \: m}}}}}[/tex]
Step-by-step explanation:
Area of a triangle ( A ) = 9.45 m²
Base of a triangle ( b ) = 2.65
Height of a triangle ( h ) = ?
Finding the height of a triangle
[tex] \boxed{ \sf{area \: of \: a \: triangle = \frac{1}{2} bh}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = \frac{1}{2} \times 2.65 \times h}}[/tex]
[tex] \dashrightarrow{ \sf{9.45 = 1.325h}}[/tex]
[tex] \dashrightarrow{ \sf{1.325h = 9.45}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{1.325 \: h}{1.325} = \frac{9.45}{1.325}}} [/tex]
[tex] \dashrightarrow{ \sf{h = 7.13 \: m}}[/tex]
Hope I helped!
Best regards! :D
Please help with this
Answer:
Step-by-step explanation:
Since O is the center of the circle, from that point to any point that lies on the outside of the circle will have the same measure. That's worded weird. From point O to A, which is a radius, the length of that radius is 12. That means that the length from point O to any point on the outside of the circle will also measure 12. So from O to B is also 12. For y, we have a rule for when 2 lines tangent to a circle meet at a single point outside the circle. The 2 tangent lines are equal in length. So that means that if AC is 19.6, the CB is also 19.6. Your answer choice is 4.
what number is greater than -4 but less then -2
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-3 is greater than -4 on the number line but less than -2 on the number line. Therefore, the number is -3
hope I helped.
21 +3+ (3 x 9) * 9+5
Answer:
272
Step-by-step explanation:
Do you need this?
Answer:
272
Step-by-step explanation:
What is the sum of the solutions of the 2 equations
below?
8x = 12
2y + 10 = 22
A. 23
B. 71
7 1
C.
9
D. 10
E. 17.
8x = 12
Divide both sides by 8
x = 12/8 = 3/2
2y + 10 = 22
Subtract 10 from both sides.
2y = 12
Divide both sides by 2
y = 6
6 + 3/2 = 7 1/2
Answer:
7.5 or 7½
Step-by-step explanation:
8x÷4 = 12÷4
2x = 3
x = 3/2 = 1.5
2y + 10 = 22
2y = 12
y = 6
1.5 + 6 = 7.5 = 7½
Which of the following represents the solution to the inequality 4x - 2 ≤ 10?
Answer:
Step-by-step explanation:
Okay so solving an inequality is essentially the same as solving an expression, just with a different symbol.
We can first separate the x to the left and whole numbers to the right side.
TIP INPORTANT: Put your variable numbers on the left side and your whole numbers which are the numbers without variables on the right side
so,
4x ≤ 10 + 2
which is,
4x ≤ 12, therefore,
x ≤ 3.
Hope this helps!
The solution is x ≤ 3
What is an Inequality Equation?
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
4 x - 2 ≤ 10
Adding 2 on both sides , we get
4 x ≤ 12
Divide by 4 on both sides , we get
x ≤ 3
Hence , the solution is x ≤ 3
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