Answer:
$133,000
Step-by-step explanation:
The upper end of the contractor's budget is $297,000. If he has already spent $164,000, he can spend as much as ...
$297,000 -164,000 = $133,000
without exceeding his budget.
He can spend $133,000 more and remain within budget.
__
Additional comment
Of course, he'd like to come in at the low end of the cost range, so would be very happy to spend only $71,000 more.
The ratio of “D”s to “A”s in the school was 6 to 19. If there were 872 As in the school this term, how many Ds were there?
Answer:
The amount of D's there were is 275.4
Step-by-step explanation:
D : A
6 : 19
D : 872
Cross multiply 872 and 6
6*872 = 5232
Then divide the total by 19
5232/19 = 275.4 (simplified)
the perimiter of a parallelogram is 72 meters the width of the paralleogram is 4 meters less than its length. find the length and width of the parallelogram.
Answer:
length = 20 m
width = 16m
Step-by-step explanation:
HELP WILL GIVE BRAILEST AND WILL GIVE 50 POINTS!!!!! (also please tell me how you did it!) Simplify and Solve: 12x + 8 < 116
Answer:
Step-by-step explanation:
1. isolate the variable subtract both sides by 8 (12x+8-8<116-8)
2. Divide both sides by twelve (12x/12<116-8/12)
3. Simplify (x<108/12)
4. Answer (x<9)
=12x+8−8<116−8
=12x<108
Step 2: Divide both sides by 12.[tex] \frac{12x}{12} < \frac{108}{12} [/tex]
Answerx<9
please answer this quick
I need help
Answer:
No, it is not a magic square.
Step-by-step explanation:
A magic square is when whatever way you add it from, it is always the same answer (the magic sum). As you can clearly tell, it doesn't add up to the same number.
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building? Group of answer choices
======================================================
The blueprints say that 1 inch represents 10 feet. This means we can form the equation below
1 inch = 10 feet
Of course 10 feet is much larger than 1 inch, so they cannot be actually equal to one another, but it helps tie together the two quantities. And it also allows us to multiply both sides by 3 to get
3 inches = 30 feet
So 3 inches on paper means we have 30 feet in real life.
Similarly,
1 inch = 10 feet
5.5 inches = 55 feet (multiply both sides by 5.5)
The 3 inch by 5.5 inch rectangle on paper corresponds to a 30 feet by 55 feet rectangle in real life.
----------------
In short, you multiply each given dimension by 10
3 inches goes to 3*30 = 30 feet
5.5 inches goes to 5.5*10 = 55 feet
Donalita ate 5 out of every 7 candies in a jar. If she ate 25 candies, what fraction represents the number of candies she ate over the total number of candies?
Answer:
25/35
Step-by-step explanation:
5 times 7 equals 35 and that means that this is the denominator because that is our total amount.
5 times 5 equals 25 and that makes it the numerator because that is what is being taken out of 5 jars
Hopefully this helps you :)
A student Is asked to find the sum of 297 +613. Which expression can the student use to find
the answer?
Answer:
The student can used
297+613 = x
Step-by-step explanation:
It is because the sum is unknown , and we can imagine it as "x". This, we formed a equation.
To solve the equation X - 62 = 123, you would ?
About how many ants would it take to wrap around the earth
Answer:
Ten billion
Step-by-step explanation:
There would around 16×10⁻¹⁰ ants to wrap around the earth.
What is circumference?Circumference is the distance around a circle., basically it is the perimeter of the circle.
Given that, an average sized ant is about 4×10⁻³ meter long the circumference of the earth is about 4×10⁻⁷ meters, we are asked to find the number of ants that would it take to wrap around earth,
To find the same, we will multiply the size of ants to the circumference of the earth,
So, 4×10⁻³ × 4×10⁻⁷
= 16×10⁻¹⁰
Hence, there would around 16×10⁻¹⁰ ants to wrap around the earth.
Learn more about circumference, click;
https://brainly.com/question/28757341
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A camping group began with 240 pounds of food and each day consumed about 12 pounds after how many days did they have 180 pounds left does anyone know step by step ?
Answer:
Five days
Step-by-step explanation:
First, we have to find out how much food they ate:
240 - 180 = 60
Now, we have to find out the number of days they would take to eat 60 pounds of food. We can do that by dividing:
60/12 = 5
They took five days to have 180 pounds leftover.
. Denise has multiplied (2r – 3)(2r + 3) to get 4r2 – 9. After looking at her work, Hyder says her solution must be incorrect because multiplying two binomials will always produce a trinomial. Which student is correct? Explain the error to the incorrect student. HELP ME PLEASE NEED IT IN TIME THANKS.
Answer:
Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct
Multi-Step: <ABD and <BDE are supplementary. Find the measures of both angles.
28. m<ABD = (12x - 12)° , m<BDE = (3x + 48)°
Answer:
get it helps me with lI do not know the answer
Step-by-step explanation:
sorry
5. Find the base of the triangle if its area is 48 sq. in and its height is 16 in. 10 points none of the options 9 in O 12 in 6 in
Answer:
The answer is 6 inStep-by-step explanation:
Area of a triangle is given by
[tex] A = \frac{1}{2} bh[/tex]
where b is the base
h is the height
From the question
A = 48 sq. in
h = 16 in.
Substitute the values into the above formula and solve for the base
That's
[tex]48 = \frac{1}{2} 16b \\ 48 = 8b \\ \frac{8b}{8} = \frac{48}{8} [/tex]
We have the final answer as
6 inHope this helps you
At a conference, there are 42 middle school math teachers and 14 middle school
science teachers. If the high school sends half as many math teachers, how many
science teachers should they send if they want to keep the ratios proportional?
4. Show your work:
Answer:
7 science teachers
Step-by-step explanation:
42 and 14 in a ratio 3:1
if 42/2 =21 maths teachers then 7 science teachers
Solve for n nn. ( 3 3 ) 2 = n 6 (3 3 ) 2 =n 6 left parenthesis, 3, cubed, right parenthesis, squared, equals, n, start superscript, 6, end superscript n = n=n, equals
Answer:
3Step-by-step explanation:
given the expression (3³)² = n⁶, we are to find the value of n.
To do that we will apply one of the laws of indices shown
[tex](a^m)^n = a^{mn}[/tex]
Applying the law to the question
(3³)² = n⁶
[tex]3^{3*2} = n^6\\\\[/tex]
[tex]3^6 = n^6\\\\[/tex]
Since the power of both values at both sides are equal, they will cancel out to give;
[tex]3 = n[/tex]
Hence the value of n is 3
its 2
N=2
and i know this since i got it wrong and it showed me the correct answer :)
2 i hopeIt is 60 Celsius on the crust of a volcano. What is this number in Kelvin?
Answer:
333.15 Kelvin (K)
Step-by-step explanation:
When you convert from Celsius to Kelvin, you add 273.15
60 C + 273.15 = 333.15 K
So, that is the answer. Hope this helps!
Answer:
333.15 Kelvin (333 rounded)
Step-by-step explanation:
You must add 273.15.
60 + 273.15 = 333.15.
The answer is 333.15 (333 rounded.)
please someone help me to prove this...
Answer: see proof below
Step-by-step explanation:
Use the following Power Reducing Identities:
[tex]\cos^2 A = \dfrac{1}{2}(1 + \cos 2A)\\\\\sin^2 A = \dfrac{1}{2}(1 - \cos 2A)[/tex]
Use the following Product to Sum Identity:
[tex]\cos A\cdot \cos B=\dfrac{1}{2}\bigg[\cos(A+B)+\cos(A-B)\bigg][/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \cos^2\beta\cdot \sin^4\beta\\.\qquad \qquad \qquad =\cos^2\beta\cdot \sin^2\beta\cdot \sin^2 \beta[/tex]
[tex]\text{Power Reducing:}\qquad \dfrac{1}{2}\bigg(1+\cos 2\beta\bigg)\dfrac{1}{2}\bigg(1-\cos 2\beta\bigg)\dfrac{1}{2}\bigg(1-\cos 2\beta\bigg)\\\\\\.\qquad \qquad \qquad \quad =\dfrac{1}{8}(1+\cos 2\beta)(1-\cos 2\beta)(1-\cos 2\beta)[/tex]
[tex]\text{Expand:}\qquad \qquad \dfrac{1}{8}\bigg(1-\cos 2\beta-\cos^2 2\beta+\cos^3 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{8}\bigg(1-\cos 2\beta-\cos^2 2\beta+\cos^2 2\beta \cdot \cos \2\beta\bigg)[/tex]
[tex]\text{Power Reducing:}\qquad \dfrac{1}{8}\bigg(1-\cos 2\beta -\dfrac{1}{2}(1+\cos 4\beta)+\dfrac{1}{2}(1+\cos 4\beta)\cos 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{16}\bigg(2-2\cos 2\beta -1-\cos 4\beta +\cos 2\beta +\cos 4\beta \cdot \cos 2\beta \bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{16}\bigg(1-\cos 2\beta -\cos 4\beta+\cos 4\beta \cdot \cos 2\beta \bigg)[/tex]
[tex]\text{Product to Sum:}\quad \dfrac{1}{16}\bigg(1-\cos 2\beta -\cos 4\beta +\dfrac{1}{2}[\cos(4\beta+2\beta)+\cos (4\beta-2\beta)]\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{32}\bigg(2-2\cos 2\beta -2\cos 4\beta +\cos 6\beta +\cos 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)[/tex]
[tex]\text{LHS=RHS:}\\ \dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)=\dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)[/tex]
What rewrite 4/6 : 1/3 as a unit rate
Answer:
unit rate is 2
Step-by-step explanation:
Notice that if we multiply both '1' and '3' in 1/3 by 2, we get:
4/6 : 2/6,
which reduces to 4/2, or 2, which is the desired unit rate.
Answer:
The answer is 2:1
Step-by-step explanation:
what is a unit rate?
A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
When writing a unit rate the denominator is always 1
If you want to obtain a unit rate you divide both quantities by the second one.
21(2−x)+12x=44
What does X=
Answer:
x= -2/9
Step-by-step explanation:
42-21x+12x=44
-21x+12x=44-42
-9x=2
x= -2/9
in geometry why do we use 3.14 rather than 3.14159??
Answer:
3.14 is the simplified version (approximate) to π
If it takes 10 seconds to hear thunder when lightning is 4 miles away, determine how far away the lightning is when it takes 6 seconds to hear the thunder. miles
Answer:
2.4 miles.
Step-by-step explanation:
10sec = 4 miles.......what abt.....
6 sec = ??
cross multiply:
6sec × 4miles ÷ 10 sec= 2.4miles
How do you right coordinates?
Answer: You write the latitude first, followed by a comma, and then the longitude.
Step-by-step explanation:
Write an equation in point-slope form for a line that passes through the given set of points.
(-2, - 4) and (1, 8)
First off, we need the slope
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{8-(-4)}{1-(-2)}[/tex]
That leaves you with
12/3 = 4
point-slope form: y-y1 = m ( x - x1)
So...
y - (-4) = 4 ( x - (-2))
y + 4 = 4 (x + 2)
y + 4 = 4x + 8
Now subtract 4 from both sides of the equation
y = 4x +4
I just need no. a please help me to prove this.
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π and cos A = cos B · cos C
scratchwork:
A + B + C = π
A = π - (B + C)
cos A = cos [π - (B + C)] Apply cos
= - cos (B + C) Simplify
= -(cos B · cos C - sin B · sin C) Sum Identity
= sin B · sin C - cos B · cos C Simplify
cos B · cos C = sin B · sin C - cos B · cos C Substitution
2cos B · cos C = sin B · sin C Addition
[tex]2=\dfrac{\sin B\cdot \sin C}{\cos B \cdot \cos C}[/tex] Division
2 = tan B · tan C
[tex]\text{Use the Sum Identity:}\quad \tan(B+C)=\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}[/tex]
Proof LHS → RHS
Given: A + B + C = π
Subtraction: A = π - (B + C)
Apply tan: tan A = tan(π - (B + C))
Simplify: = - tan (B + C)
[tex]\text{Sum Identity:}\qquad \qquad \qquad =-\bigg(\dfrac{\tan B+\tan C}{1-\tan B\cdot \tan C}\bigg)[/tex]
Substitution: = -(tan B + tan C)/(1 - 2)
Simplify: = -(tan B + tan C)/-1
= tan B + tan C
LHS = RHS: tan B + tan C = tan B + tan C [tex]\checkmark[/tex]
-8+9·2÷-3 math please answer quick please
Answer:
Exact form: [tex]-11.06[/tex]
Decimal form: [tex]-11.066667[/tex]
Step-by-step explanation:
[tex]-8+9.2[/tex] ÷ [tex]-3[/tex]
Let's simplify. We will have to change [tex]9.2[/tex] and [tex]-3[/tex] a draction
[tex]-8+\frac{9.2}{-3}[/tex]
This equals
Exact form: [tex]-11.06[/tex]
Decimal form: [tex]-11.066667[/tex]
Hope this helps!
what is 3,393 divided by 13
Answer:
261
I hope this helps!
What is 4/q as a decimal
Answer:
what is the value of q?
Step-by-step explanation:
Evaluate f(x)=12 for the function f(x)=5(x-3)+17
Answer:
x = 5
Step-by-step explanation:
We are given the function;
f(x) = 5(x-3) + 17
And f(x) = 12
Thus;
5(x-3) + 17 = 12
Expanding the bracket gives;
5x - 15 + 17 = 12
5x + 2 = 12
5x = 12 - 2
5x = 10
x = 10/2
x = 5
Thus,for f(x) = 12, x has to be 5
A toy box is 3 feet wide, 4 feet long, and 2 feet tall. What is the volume of the toy box?
Answer:
24 cubic feet
Step-by-step explanation:
3 × 4 × 2 = 24
Step-by-step explanation:
The formula for volume is l×w×h, a d the ending unit will be cubed/to the third power.
So you would do 4ft×3ft×2ft, which equals 24ft³
The perimeter of the rectangle and the triangle shown are the same. Write an equation to represent this situation, and solve for x. Then, find the perimeter of each shape.
Answer:
Step-by-step explanation:
Perimeter of a polygon = Sum of all sides of the polygon
Perimeter of the given rectangle = 2[(5x - 2) + (3x - 0.5)]
= 2[8x - 2.5]
= (16x - 5)
Perimeter of the given triangle = (2x + 3) + (2x + 3) + (10x - 5)
= 14x + 1
Since perimeter of the rectangle and triangle are same, equation will be
(16x - 5) = (14x + 1)
16x - 14x = 5 + 1
2x = 6
x = 3
Perimeter = (16x - 5)
= 48 - 5
= 43 units