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igomit [66]
2 years ago
3

Jen ran for 10 minutes with a speed of 6 mph and then walked for 30 minutes at a speed of 3 miles per hour. What is the total di

stance covered by Jen?
Mathematics
1 answer:
goldenfox [79]2 years ago
6 0

Answer: I NEED HELP WITH THIS TO

Step-by-step explanation:

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Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva project
snow_lady [41]

9514 1404 393

Answer:

  $126

Step-by-step explanation:

110% more than 100% is 210% of his June earnings:

  july = 2.10×$60 = $126

Silva is projected to make $126 in July.

_____

As always, you can think of % and /100 as being interchangeable.

  210% = 210/100 = 2.10

7 0
2 years ago
A pack of 6 batteries of the same type costs £2.79. By caculating the price, per battery, determine if this is better value. You
Fittoniya [83]

Answer:

£0.465. It is a better value.

Step-by-step explanation:

If a pack of 6 batteries costs £2.79, price of a battery can be calculated as shown;

6batteries = £2.79

1 battery = x

x = cost of a battery

6x = £2.79

x = £2.79/6

x = £0.465

Price per battery will be £0.465. This price is a better value since the price is lesser than the cost of the 6batteries (£2.79) in a pack.

6 0
2 years ago
.580 80 repeating as fraction
denis-greek [22]
First off, we'll move the non-repeating part in the decimal to the left-side, by doing a division by a power of 10.

then we'll equate the value to some variable, and move the repeating part over to the left as well.

anyhow, the idea being, we can just use that variable, say "x" for the repeating bit, let's proceed,

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------

\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}

and you can check that in your calculator.
4 0
2 years ago
Read 2 more answers
In the roof truss, line BG bisects ∠ABC and ∠DEF, m∠ABC= 112°, and ∠ABC≅∠DEF.
Dennis_Churaev [7]

In the given diagram,  line BG bisects ∠ABC and ∠DEF, m∠ABC= 112°, and ∠ABC≅∠DEF.  So the measure of angles are :

1. m∠DEF=  112° because ∠ABC≅∠DEF

2. m∠ABG=  56° because a straight line BG is bisecting ∠ABC in two equal parts. So, \frac{112}{2} = 56

3. m∠CBG=  56° because ∠ABG and ∠CBG are equal.

4. m∠DEG=  56° because ∠ABG ≅ ∠DEG


7 0
2 years ago
Read 2 more answers
Consider the diagram and proof below.
QveST [7]
<span>Given the following statements and Reasons

1. WXYZ is a ▱; ZX ≅ WY 1. given
2. ZY ≅ WX 2. opp. sides of ▱ are ≅
3. YX ≅ YX 3. reflexive
4. △ZYX ≅ △WXY 4. SSS ≅ thm.
5. ∠ZYX ≅ ∠WXY 5. CPCTC
6. m∠ZYX ≅ m∠WXY 6. def. of ≅
7. m∠ZYX + m∠WXY = 180° 7. ?
8. m∠ZYX + m∠ZYX = 180° 8. substitution
9. 2(m∠ZYX) = 180° 9. simplification
10. m∠ZYX = 90° 10. div. prop. of equality
11. WXYZ is a rectangle 11. rectangle ∠ thm.

The missing reason in step 7 is "</span><span>consecutive ∠s in a ▱ are supplementary"</span>
8 0
2 years ago
Read 2 more answers
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