Find the GCF(Greatest Common Factor) of 42 and 70: 14
Divide numerator and denominator by the GCF.
42 ÷ 14 = 3
70 ÷ 14 = 5
3/5
Answer:
3/5
Step-by-step explanation:
Think of the GCF of 42 and 70
which is 14 divide by 14 which you will get 3/5
(Alternate method)
If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc
until you get to a answer that can't be divided anymore
Hope this helps!
If mZ3 = 74°, find each measure.
Answer:
m<1 = 74
m<2 = 74
m<4 = 74
Step-by-step explanation:
Which expression isequivalent to (65) (62)?
Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?
Answer:
The statement is;
A number is a prime number if and only if it has 1 and itself as factors
The truth value of this statement is true T
Step-by-step explanation:
The biconditional statement will use the statements if and only if.
Thus, we have;
A number is a prime number if and only if it has only 1 and itself as factors
The truth value of the biconditional statement is T ( true)
The midpoint of TP is (3,0). If one endpoint, point T, has the coordinates
(-2,-6), what are the coordinates of the other endpoint of TP?
Answer: (7, 6)
Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho
sid has £5 to buy apples and bananas
Answer:
So he could use 3 pounds for apples, and two for bananas.
Step-by-step explanation:
Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP
Answer:
(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]
(2) [tex]3x + 2y\leq[/tex] 24
(3) [tex]x+4y\leq 28[/tex]
Step-by-step explanation:
Let x and y be the numbers of rockers and swivels made by Ethan.
(1) Since the number of chairs can't be negative. So,
x\geq0 and y\geq 0 are the two constraints.
(2) He can work a maximum of 24 hours.
The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.
So, the time required to make x rocker chair = 3x hr
and the time required to make y swivel chair = 2y hr.
The total time required is 3x + 2y hr which can't be more than the available time, 24 hr.
So, the required constraint is
[tex]3x + 2y\leq 24[/tex]
(3) Similarly,
As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.
So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.
So, the required constraint is
[tex]2x + 8y\leq 56[/tex]
[tex]\Rightarrow x+4y\leq 28.[/tex]
what makes -1.3 a non integer
Answer:
Decimal and fractions numbers are non-integers
Step-by-step explanation:
The answer is the third choice because integers are whole numbers that can be positive, negative, or zero. -1.3, however, is not a whole number, so it is not an integer. The reason is the third choice as decimals and fractions are not integers. Hope it helps!
Solve for x
X-5=-9
(10 points)
x-5 = -9
add 5 to both sides
x = -4
Answer:
x = - 4
Step-by-step explanation:
x - 5 = -9
=> x = -9 + 5
=> x = - 4
-4 5/6 + (3 1/3) =
How dI you do this?
Solve for b : 1/2b+G=D
Answer:
I believe the answer is b=1/2(d-g)
Step-by-step explanation:
multiply to remove the variable from the denominator.
Javier power walks 4 1/4 miles in 2 hours how many miles does he walk in one hour? ANSWER HAS TO BE IMPROPER AND IN SIMPLEST FORM
label the slope and y intercept
What’s the answer xx
Step-by-step explanation:
Hey there!
Given;
ABC is a Right angled triangle.
Taking angle "A" as reference angle, we get;
Perpendicular (p) = BC
hypotenuse (h) = 13cm
Base(b) = 8cm
We know;
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]
[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]
[tex] BC = \sqrt{169 - 64} [/tex]
[tex] BC = \sqrt{105} [/tex]
[tex] BC = 10.246[/tex]
Therefore, BC = 10.246cm.
Hope it helps...
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6hours
Step-by-step explanation:
We know that Speed= distance/ time
But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.
And the distance is given as 800 miles
Then, what we need is to substitute the given Distance into the equation of time.
t= 1/500d. Where d= 800 miles
t= (1/500) × 800 miles
t= 800 miles/500
t= 1.6hours
Hence, it will take the airplane to travel 800 miles , 1.6hours
A dozen of roses cost $64.44. How much did each rose cost?
Answer:
5.37
Step-by-step explanation:
if 12 roses cost 64.44 and the price of one is x then
12x=64.44
x=64.44/12
x=5.37
Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the remaining Rs. 16(½) to his friend. Calculate how much money he initially had.
Answer:
Rs. 52[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given parameters:
Amount spent on buying a food = Rs. 25.75
Amount spend on buying pen = Rs. 10.25
Amount given out to friend = Rs. 16.5
Unknown:
The total money he initially had = ?
Solution:
The total money he initially had :
= amount spent on food + amount spent on pen + amount given to friend
= Rs. 25.75 + Rs. 10.25 + Rs. 16.5
= Rs. 52.5 or Rs. 52[tex]\frac{1}{2}[/tex]
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?
Answer:
C) y − 5 = −(x − 2)
Step-by-step explanation:
Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *
Answer:
Total deductions = $196.24
Step-by-step explanation:
Gross weekly salary = $680
federal holding = $101.62
FICA standard rate = 7.65% of gross earnings
= 7.65% of $680 = 0.0765 × 680 = $52.02
∴ FICA deductions = $52.02
state tax = 1.5% of gross pay = 1.5% of $680
state tax = 0.015 × 680 = $10.2
∴ state tax = $10.2
Medical insurance = $32.40
Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24
bracket is necessary in order of operations
Answer:
yeah they are necessary in fact they are the first when you use BODMAS
Find the value of x.
Answer: 12.65
Step-by-step explanation:
Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.
[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]
b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x
[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]
Jordan doesn't know how to graph y > 2x + 1 . Can you explain to him using the words below how to do it?
Vocabulary to use:
slope, y-intercept, shade above/below, and dotted/solid line
Answer:
Step-by-step explanation:
Formula: Y= mx+b
m = slope | b = y-intercept
Equation: Y>2x+1
The Y-Intercept is the (1)
Shade above the dotted line because it is >.
You always shade on the left if the left side of the equation is > than the right.
If ≥ Then the line is Solid |||| If > Then the line is dotted.
are some integers irrational
PLS HELP PLSSSSSSS QUICK
The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c= 6.5n+35, where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?
Answer: 302
Step-by-step explanation:
The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?
Answer:
12.8$
Step-by-step explanation:
20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.
Which of the following is not true?
Answer:
d) 1/2 ÷ 4 = 1/2 • 4/1
Step-by-step explanation:
when dividing fractions use keep change flip (keep the first fraction, change the sign to multiplication, flip the second fraction)
when multiplying just multiply straight across
Triangle ABC is dilated by a scale factor of 4. If A is located at (3,-5), where will A’ Be located?
Answer:
Step-by-step explanation:
Multiply both numbers by 4. That is your new coordinates. (12,-20)
Plz help quick >_< What is the best estimate for 81.9 x 4.6?
O A) 100
OB) 360
OC) 400
OD 8,000
Answer:
B.
Step-by-step explanation:
When you multiply the two decimals you get 376.74 which is closer to 360 than 400
I WILL GIVE CROWN WHO ANSWERS CORRECTLY
Zach's car travels 21 miles on 1 gallon of gas. Using the answer choice from the previous question, Determine how far Zach travels on a trip if he uses 16 gallons of gas.
Answer:
336 miles
Step-by-step explanation:every gallon goes 21 miles so
2gallons= 42 miles
3gallons =63 miles
16 gallons x 21 miles
Answer:
336
Step-by-step explanation:
for every one gallon he goes 21 miles
21+21=42 2 gallons
42+42=84 4 gallons
84+84=168 8 gallons
168+168=336 16 gallons